diff --git "a/data/dm_maths/full_data/10956_11255.jsonl" "b/data/dm_maths/full_data/10956_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10956_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Convert -10001110000 (base 2) to base 13.\nAnswer: -695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2*j - 2 = 2, 4 = 2*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 918 - 436. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1203, 2337, 3471, 4605?\nAnswer: 5739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4015 - -261?\nAnswer: 4306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -68*x. Let q(s) = 2*s + 9. Let c(r) be the third derivative of -r**4\/24 - r**3 + 12*r**2 + 2*r. Let j(b) = -3*c(b) - 2*q(b). Calculate f(j(i)).\nAnswer: 68*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/2*1\/20*(-35)\/2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2.074122ns?\nAnswer: 0.000000000000576145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1336 - 883. Let n = u + -171. Suppose 102 + n = 4*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -412104350 (base 6) to base 7.\nAnswer: -114232065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45243765 and 5670?\nAnswer: 90487530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -37563157 (base 8) in base 3?\nAnswer: -120122112010112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {u: 1, p: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7735616 divided by 17267\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 - 2 + 2 + (-4*f**3 + f**3 + 2*f**3)*(-4 + 0 + 3) + 2*f + 2*f**3 - 2*f + (0*f + 2*f**3 + 0*f)*(1 + 0 - 4).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 254243 + -93.\nAnswer: 254150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11885\/4 - 12562437\/4228. Let h = c + -43345\/4228. Suppose 5*j = -0*j + 230. Find the common denominator of h and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**4\/3 + 194*o**3\/3 + 1312*o**2 - 18136*o\/3 + 18944\/3 = 0.\nAnswer: -64, -37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43, 41, 59, 109, 203?\n\"Answer: 2*w**3 - 2*w**2 - 10*w + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4262812\/452 + ((-2)\/(-2) - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587595501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -5, 0.4, 4 in descending order.\nAnswer: 4, 0.4, 1\/10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 2*k - 5. Let z be p(-5). Find the third derivative of 12*y**2 - 6*y**4 + 6*y - z*y**2 - 6*y wrt y.\nAnswer: -144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 9:36 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98320152 is divided by 228121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 16 = -4*d, 4*h - 4 + 16 = -3*d. Let v(b) = -b**3 - 7*b**2 + 19*b + 5. Let n be v(-9). Sort 3, n, h.\nAnswer: n, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + z - 3*z)*(0 + 2 - 4)*(17*z + 6*z**2 - 17*z).\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a milligram in micrograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1650 and 41\/12.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30214 and 11964744.\nAnswer: 11964744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1160 + -1160.4. What is the nearest to 0.1 in w, -0.06, -0.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(375)*1)\/(sqrt(15)\/sqrt(3)*4 - (sqrt(500) + sqrt(500)*-2))*-4.\nAnswer: -50*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*y**3 + 17287*y**2 - 10659265*y wrt y?\nAnswer: 168*y + 34574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooozzoototonttdo. What is prob of picking 1 t, 1 n, and 2 o?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 3. Let s(g) = g**3 + 17*g**2 + 5. Let r(z) = z**3 + 18*z**2 + 6. Let b(f) = n*r(f) + 6*s(f). Find the third derivative of b(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018909 rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggpppp. What is prob of picking 2 p and 1 g?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n + 2. Suppose 18*d - 29*d = 55. Calculate u(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 158 = 800. Let m = f + -213. Let r = 2 - 1.8. Which is the smallest value? (a) 4\/3 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1254 - -1299. What is the highest common factor of c and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236 - t**2 - 241 - 239 + 716.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w + 9. Let p(i) = 9658*i**2. Determine p(s(t)).\nAnswer: 38632*t**2 + 347688*t + 782298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*h**3 - 8*h**3 + 37*h**3)*(-1 - 2 + 5)*(1 - 5 + 2) - 3*h + 5*h + 7*h**3 + 0*h.\nAnswer: 159*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 1\/50686926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11946, 47812, 107596, 191304, 298942, 430516?\nAnswer: 586032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 2*m + 0*m)*(-44 + 19 - 8)*(-77*m**2 - 149 + 149).\nAnswer: -5082*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 - 6*x**2 + 4216*x - 1 - 4216*x. Let o(u) = 5*u. Give o(l(p)).\nAnswer: -15*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21063 and 79296?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + v**4 + 5*v**2)*(0 - 2 + 4)*(-9 + 31 + 3).\nAnswer: 50*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 3*h + 2. Let x(l) = 3063*l**2 + 6126*l + 4084. What is 2042*j(p) - x(p)?\nAnswer: -1021*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 14339681\nAnswer: 10\/14339681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44832 + -16632. Suppose -3*r = -5*r + o. Round r to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 288970 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 - 26*v**2 + 313*v**2 - 554*v**2 - 837*v**2 + 2 + 2*v - 733*v**2.\nAnswer: 3*v**3 - 1837*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211102 + -1020212021122?\nAnswer: -1020211110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.17774 + -90029\nAnswer: -90029.17774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 878246399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 18. Let g(t) = -4*t - 4. Let i be g(-6). Suppose 3*z - 3*r + 0 + 6 = 0, -r = 5*z - i. Solve 2*v - q*s + 5 = -0*v, -v + z*s = 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, z: 2, v: 4, b: 2, x: 2, i: 1}. Give prob of picking 1 i and 2 r.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + 12969\/17 + (-16)\/(-136)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 5*t**2 + t + 4. Let l be c(-5). Let d be l\/(-3)*(3 + 216). Let u = 104 - d. What is the remainder when u is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 + 0.0499775. What is r rounded to six decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d3ad (base 16) in base 12?\nAnswer: -27439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 12 + 18. Let r be (-2)\/10*10\/(-4)*911. Let v = r - 441. Is d less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 17 = -5*s + 13, 0 = -5*s - 60*g - 60 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -235*x + 232. Does 13 divide c(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/105*-5)\/((-1686)\/(-1967)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3101*u**2 + 6*u**3 - 1799752*u - 4*u**3 + 1799752*u - 355*u**2.\nAnswer: 2*u**2*(u + 1373)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2\/(-6) - (-4 + 2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*r = -36, -3*k + 4*r - 34 = -6*k. Solve k = -p + h, -3*h + 2*h + 5 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a factor of 447859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35900 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 118, -1\/5, 2 in decreasing order.\nAnswer: 118, 2, 0.4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 4. Let r be 84\/14 + (z - 1). Solve 2 - r = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13440 and 180?\nAnswer: 40320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 1533096.\nAnswer: 1533096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 32*h - 37*h + 1100, -5*h - 2*f = -1095. Solve -48 = -h*v + 209*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -8*f + 4*f - 3*h, 3*f - h = 4. Solve -4*s - t - 4 = f, 4*t = -s + 3*t - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by 1.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 65, 151, 289, 479, 721, 1015?\n\"Answer: 26*b**2 + 8*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(3)*-2)**2 + -2) + (sqrt(192) + -1 + (sqrt(192) - (2 + sqrt(192))) + sqrt(192))**2.\nAnswer: -96*sqrt(3) + 747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3029, -3061, -3143, -3299, -3553?\nAnswer: -3929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 735214?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1044)\/(-406)*(-15)\/30.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.23388 decades to months.\nAnswer: 3988.0656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zeyj when four letters picked without replacement from zeefzffefzzeyyyfyjy?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*f + 15 + 87*f - 15 to u*f + t and give u.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 677 divide 13308466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/1215 - -19181\/2430. What is the common denominator of ((-1)\/104*-194)\/2 and p?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -537 (base 13) to base 4\nAnswer: -31323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*x - 3*z + 3 - 1, -282 = -53*z + 6*z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(16\/((-400)\/15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -430 (base 5) to base 9\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 5075205.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/8)\/(1\/2). Suppose q + 2*q + 11 = -2*a, -15 = 3*a + d*q. Let y be a\/18 - (-292)\/18. Solve 2*c - 6*c = -y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 4*s**2 - 2*s - 1. What is t(5)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - ((-5)\/(-1) + -6 + 1). Put 3, 4, h, -8 in descending order.\nAnswer: 4, 3, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77732.97 litres in millilitres?\nAnswer: 77732970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 times -8?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7570317.\nAnswer: 3, 1487, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/254 + -853\/23114. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1250 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 391727 and 23203418.\nAnswer: 3661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let u(l) = 56*l. Determine a(u(n)).\nAnswer: -56*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1279, -1082, -875, -658, -431?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536285857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j = -55*j + 60. Let x(m) = j*m**2 - 7*m**2 - 4*m**2. Let b(n) = -5*n - 4. Let v(d) = -9*d - 7. Let w(r) = -7*b(r) + 4*v(r). Calculate w(x(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 296 and 333592?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1510192 or -1510194?\nAnswer: -1510192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 + -74. Let k be (1213*z\/4)\/((-11)\/(-44)). Let l = k - 540. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6*(-2 + -7). Solve -f + 0*l = -2*l - h, -5*l = f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -2*c - 18, -3*c + 5*c - 2 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5753343 is divided by 215.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2553 - -338.\nAnswer: 2891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 9*s + 6. Let n be w(9). Let h(r) = -r**3 + 7*r**2 + r + 5. List the prime factors of h(n).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 + -31. Let i = -85 + l. Let u = 27 + -26.8. Which is the third biggest value? (a) i (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 17*o - 15112. Is 28 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -56*w + 195. Let z be j(4). Let k(l) = l**3 + 29*l**2 + 7*l + 206. Calculate k(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 * -0.465\nAnswer: -7.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361 = -707*w - 346 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -6. Suppose -h = 17*j - 22*j. What is the greatest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 5*d - 4*d + 14 = 0, 5*d = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*m = 24, -5*m = -o - 0*m - 64. Suppose 3*d = -3*f + 66, 3*f + 24*d - 59 = 28*d. Calculate the remainder when 3*2*o\/(-6) is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 24 = 2*p. Suppose 2*i + 30 = 4*r, -i = 3*i + 12. Suppose -3*j - 27 = -r*j. Solve -p + j = -5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158.4556 + -1.4756. Let j = 1.98 - k. Which is the second biggest value? (a) -4 (b) j (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*2 - (sqrt(180) - sqrt(20))\/sqrt(10))**2 + (-1 + sqrt(128) + 2)**2.\nAnswer: 16*sqrt(2) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 193316 and 676606.\nAnswer: 1353212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -6.3. Which is smaller: -2\/3 or c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.349 + -3.949. Let r = 7.2 - -1.8. Which is the nearest to 0? (a) x (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 741535.5 millennia to years.\nAnswer: 741535500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + (2*(sqrt(5) + 2 + sqrt(5))**2 - (-3 + sqrt(80)))*5.\nAnswer: 60*sqrt(5) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 3:47 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -4) + 1 + -1. Solve r + t*r = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c - 4. Let m(y) = -9*y - 3. Determine -5*m(d) + 6*z(d).\nAnswer: -3*d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73095.\nAnswer: 3, 5, 11, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -50.1. What is the closest to -2\/9 in -1, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 120*a**3 + 15*a**3 + 40*a**3 + 27*a**3.\nAnswer: -38*a**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 22 = 5*q, 5*q + 105 - 95 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/315*6\/(-15).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 11*v + 14. Let n be o(9). Let w be n\/(-18)*(3 + 0). Factor 2\/3*i + 2\/3*i**2 + 0 - w*i**3 - 2\/3*i**4.\nAnswer: -2*i*(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 669*i. Let l(z) be the second derivative of -z**3\/6 + 17*z. What is l(f(d))?\nAnswer: -669*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 666 = -656. Which is the second biggest value? (a) 4\/3 (b) -0.2 (c) p (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4781740451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 117. Let w = a - -68. Suppose 4*n = -w*x + 692, -3*x + 5*n = -577 + 42. What are the prime factors of x?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knkkknkk. Give prob of sequence kk.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*z = -4*g - 54*z + 25, -3*z = -3*g - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/65*10\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 403486634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200002 + -20?\nAnswer: -200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4397, -8795, -13193?\nAnswer: -17591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f + 0*f + 5*f + (-2 + 0 + 0)*(f + 0*f + f) - 791 - 384*f + 791.\nAnswer: -386*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 210573 greater than or equal to 210576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*((sqrt(567) + 1*(sqrt(567) + 1 - sqrt(567)))*-6 + (1*sqrt(567)*-2 - (sqrt(567) + ((-1 + sqrt(567) - sqrt(567))*-5 - sqrt(567))))))**2.\nAnswer: 39600*sqrt(7) + 910226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, -8, 2, 3 in ascending order.\nAnswer: -8, 2, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 10) in base 15?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -4, -9, -246 in descending order.\nAnswer: 8, 1, -4, -9, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*y = -1, -2*u + 0*u + 2*y = -10. Calculate the common denominator of 65\/16 and u\/42*18\/24.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 5.1. Let y = -112 + 117.1. Let j = y + t. Is -1 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -39*d - 47. Let j be s(-2). Calculate the greatest common factor of 496 and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3350 - 3347. Solve -f*k = -19*k - 32 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65902661.\nAnswer: 11, 37, 161923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 6:17 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6 = -6. Suppose 4 = y*c - 5. Suppose -j + 5*u = 2*j - 6, -3*j - 3*u = -30. Calculate the remainder when j is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22345, -22346, -22347?\n\"Answer: -g - 22344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 less than 105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2176? (a) 4 (b) -2\/19 (c) -13.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggtghdtgtd. What is prob of picking 2 d and 1 h?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1306 divided by -1306?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/4, 12 in decreasing order.\nAnswer: 12, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36182.7 or 0.2?\nAnswer: -36182.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -136928 (base 11) to base 6\nAnswer: -4331035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1307452238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 2 + 0)*(0*o + 0*o + 3*o) + (-2*o + 2 - 2)*(2 + 2 + 4))*(-5 - 2 - 3) in the form l + x*o and give x.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -139 - -207. Calculate the remainder when d is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 181148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43 and 0.42.\nAnswer: 18.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5634 is divided by 2261?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 not equal to -477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 6*z**2 - 8*z + 4. Let o be g(-7). Let s(f) = -7 + 10 + 5 - 3*f - 9*f + 9*f. Calculate s(o).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/12)\/(2\/8). Suppose -2 = 4*v + 2. Let s = 1 - v. Is g greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 138, 274, 410, 546, 682, 818?\n\"Answer: 136*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + -4 + 1 + -3. Suppose 5*m - p*b = 8, 0 = 4*m - 4*b - 0 - 4. Let l(v) = 0 + 190*v**m - 192*v**2 + 0. Let o(w) = -21*w**2. What is o(l(u))?\nAnswer: -84*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -297 - -310. Which is the third biggest value? (a) l (b) -2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 10*b + 5. Let f(o) = o**3 + 4*o**2 - 5*o - 18. Let r be f(-4). What is the remainder when 57 is divided by v(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.8. Let d = -2\/9 + -5\/18. Let k be (-2)\/4 + 60\/72. What is the third biggest value in q, d, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 232755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*w**3 + 34*w**4 - 2*w**4 - 2*w**2 + 1 + 3*w**2 + 8*w**3 in the form s*w**2 + p*w**3 + r*w + a*w**4 + y and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 327689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7 - 9) + 4 - (9 + (-46 - -18))) + -27.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Sort 3, -1, q.\nAnswer: -1, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4635, -17834, -39831, -70626, -110219?\nAnswer: -158610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c - c)*(-8*c**3 + c**3 - 5*c**3) + c**4 - c**2 + c**2 + (4*c**2 + 4*c - 4*c)*(c**2 + 2*c - 2*c) + 0*c**4 + 6*c**4 - 2*c**4.\nAnswer: -15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 584017, 1168041, 1752067, 2336095, 2920125, 3504157?\nAnswer: 4088191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (186*i + 120 - 120)*(2*i - 4*i + 4*i) in the form f*i**2 + p*i + c and give f.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(12) - sqrt(108)\/(sqrt(36) - sqrt(9)) - 1*sqrt(12)*2)\/(-5*sqrt(28)\/(sqrt(14)\/sqrt(2))).\nAnswer: -12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 0.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12472376.\nAnswer: 2, 7, 283, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjfdddjjfd. What is prob of picking 3 j and 1 f?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 820592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z - 24*z = 35. Let a be 13\/7 + 0 + z\/49. Suppose -2*d + 4*l - 4 = 0, -a*d = l + 2*l - 17. Solve 0 = -5*m - d - 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -430*m + 483*m - 1325 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.44 and 142?\nAnswer: 204.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-62)\/68*9061\/(-533)\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, v: 4, t: 9, e: 2}. Give prob of picking 1 d, 2 e, and 1 v.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 1 - 39 = 0. Suppose 3*l = 3*r + 2775, -4067 = -5*l - v*r + 538. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2 + 27 + 8*q + 19 + 2*q**3 - 46. Let k(f) = -f**2. Let x(i) = -3*k(i) + s(i). Find l such that x(l) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 12, -30, -88?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/3))\/m)**24\/(m\/m**6*m\/m**(-19)) assuming m is positive.\nAnswer: m**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m + 31*m - 12346 + 12343. Determine s(3).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1831\/8 + -229. What is the second smallest value in 4, 3\/5, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three sixteenths of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 65*s - 717. Calculate d(10).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**2 - p**2 - 3*p**2)*(-2*p**2 + 2*p**2 - 2*p**2).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 210.492135ms?\nAnswer: 0.0000003480359375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43282\/(-1140) + 38 + ((-231)\/1710)\/(-7)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*y**3*z**2 - 1626242*y**3*z + 2357*y**2*z**2 - 76*y*z**2 wrt z.\nAnswer: -4*y**3 + 4714*y**2 - 152*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -67 (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**3 + 3*p**2 + 2*p + 1. Let i(v) = -2*v**3 + 2*v**2 + v + 1. Let w(a) = -7*i(a) + 5*k(a). Let j be w(2). Let n = 1 + -4. Sort 2, n, j.\nAnswer: n, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*f - 1\/2*f**2.\nAnswer: -f**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3*s**2 + 79*n**3*s - 523*n**2*s**2 + 3*n**2 wrt s.\nAnswer: -2*n**3 - 1046*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*v = -11352 - 20604 + 2171 for v.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 6, 134, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/(-10) + (-10)\/(-25). Let p be g\/(-20)*1\/1. Let r = -30 + 34. What is the third biggest value in p, 1, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -25*m**3 - 12*m**2. Let s(f) = f**3 + f**2. Suppose 9 = -6*g - 3*g. Let r(q) = g*s(q) - v(q). What is the third derivative of r(u) wrt u?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180700 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -13*g + 14*g + 50 - 35. What is the units digit of h(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2. Let u = 31 - 15. Let h be (u\/12)\/((-4)\/(-6)). Suppose 2 = h*i + 8. Let d(b) = 5*b**2 - 1. Determine i*o(m) - d(m).\nAnswer: -2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2021 (base 7) to base 11.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 2.2. Let r = -0.07516 - -1.87551. Let z = d - r. What is z rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 63 = -2*b - b, -b = 2*m - 31. What is the remainder when (-7)\/(28\/16) + 33 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -28*a - 27. Determine g(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, t: 1, n: 1, h: 1, c: 2, z: 1}. Give prob of sequence zhw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11563\/3 - -3854. Put m, -6, -13 in ascending order.\nAnswer: -13, -6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -50.82. Let n = 0.6 - x. What is the smallest value in 1, n, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + 3 + 0 + sqrt(18)\/(sqrt(6) + sqrt(300)\/sqrt(2)).\nAnswer: 3 + 31*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 187161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 7600.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -18806*s - 1824142. Determine l(-97).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 253, 528, 913, 1414, 2037?\nAnswer: 2788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -23)*4*(-2)\/4. Let x = m + 43. Let t(d) = 2*d**2 + 3*d - 2. Determine t(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l*n*x**3 + 8*l*n*x**2 + 3*l*x + 254*n*x**3 with respect to l.\nAnswer: 3*n*x**3 + 8*n*x**2 + 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 5*c - 7 = -0*c, 0 = 5*a - 13*c - 22*c + 76*c + 133 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113.021 - -113. Let f = 0.115 - h. Let i = -2.314 - f. What is i rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*b - 3489, 6*p - 10445 = 3*p - 2*b. What are the prime factors of p?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(60\/(-1890)*-21)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 131*k - 16. Let b(z) be the first derivative of -65*z**2\/2 + 10*z - 70. Let n(v) = 5*b(v) + 3*c(v). Let s(p) = -2*p. Calculate s(n(r)).\nAnswer: -136*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.042 * -0.137.\nAnswer: 0.005754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 143?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2. Let u(q) = 1077*q + 1. Determine u(l(v)).\nAnswer: 1077*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 306333097 a multiple of 2290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, z: 2, i: 4, h: 1}. What is prob of picking 1 h and 1 i?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.277 or 4?\nAnswer: -1.277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*x - 382 = -88*x. Does 22 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -41*c**2 + 19*c - 1. Let o(i) = -2*i**2 - 4. Give j(o(n)).\nAnswer: -164*n**4 - 694*n**2 - 733","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8\/39 + -2\/39. Let t = 1.2 - 1. Which is the nearest to 0? (a) -0.1 (b) u (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 181*i**5*y - 96*i**4*y + 15676*i*y - i + 2*y wrt i?\nAnswer: 3620*i**3*y - 1152*i**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q + 0*q + 2*q + (-5 + 2 + 1)*(2*q - 2 + 2))*(54 - 70 + 39) to r*q + m and give r.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - sqrt(132)*1*-1)\/(-2*sqrt(12)*2).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 22) + 18 + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 10 = 2*u. Find the common denominator of ((-185)\/(-44) - u)*(2 - 0) and -65\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(1*9\/(-6)). Differentiate 0 + 17*j**v + 6 + 6*j**2 wrt j.\nAnswer: 46*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 11\/3, 1\/13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 311.13874 and 0.4.\nAnswer: 311.53874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-11) + (-5 - (-819)\/33). Calculate the greatest common factor of 40 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-3)*6*(-12)\/432.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3253270021.\nAnswer: 22859, 142319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -660*v - 84514. What is r(-128)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 427362 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 4244080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*n + 281*n + 196*n = 7280 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17790049 times 0.4?\nAnswer: -7116019.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5804.\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -154 + 153.456. Let l = 0.51 + s. What is l rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 135485558 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/23 (b) -2\/17 (c) 0.43 (d) 3 (e) 1\/3 (f) 2\/5 (g) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.17002746 and 3.\nAnswer: 12.51008238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37146761 to the nearest integer?\nAnswer: 6095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -12. Let w = -6 - l. Differentiate 3 - 4 + 0*n**2 + 2*n**w + 3 wrt n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1 + 3*o - 10*o + 8*o - o**3 - 2. Let y(v) = 11*v**3 - 9*v + 9. Let u = -41 - -43. Let q(f) = 2*f**2 - 4*f + 2. Let k be q(4). Give k*x(l) + u*y(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 - 29*n**2 + 6*n + 62. Let i be x(14). Let r(l) = -2*l**2 - 99*l + 56. Let g be r(i). Solve 5*h + h = g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 7*l - 6. Let o be 2 + -4 - -7 - -1. Let x(n) = 3*n**2 - 5*n**2 - 8*n - 7 + 14. Suppose 24 + 11 = 7*g. Calculate g*x(s) + o*w(s).\nAnswer: 2*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnqlnnnnqln?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 337216732 to the nearest integer?\nAnswer: 18363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 401254439?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*q - 598 = -2*q, 2*u - 4*q = 274. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.113359876 rounded to five dps?\nAnswer: 0.11336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/59 in 0, 4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -58, -0.2, -0.4, 1\/5, -0.05?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2. Let z(v) be the second derivative of 7*v**3\/3 - 7*v. What is z(o(c))?\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1 = -3*z - 8*x, 8 = -2*x. Solve -z*p = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -115720, -462969, -1041740, -1852033, -2893848?\n\"Answer: -115761*t**2 + 34*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Suppose 3*y + 89 = t, 0 = r*t + 4*y + 179 - 535. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 68\/(-3)*90\/20. Suppose 2*b + 0*b - 234 = 0. Let d = b + t. Solve x - 4*x + d = 0, -8 = 3*z - 4*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9*d. Let a = -64 - -66. Suppose a*m + 21 = -5*x, -4*m - 2*x = 3*x + 17. Let c(r) = -3*r. Give m*y(p) - 7*c(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (94\/(-21) + 4\/28)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 10:12 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 10:49 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k + 3*k + 97*k**2 + 253 + 3*k - 252. Is w(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 + 0.1. Let l = -7.09 + 0.09. Let d = l - -6.8. What is the nearest to g in -1, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5117 - 0?\nAnswer: 5117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2\/11)\/v)\/v)\/v)**7 assuming v is positive.\nAnswer: v**(-245\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 238, 3, 5, -15, 7 in decreasing order.\nAnswer: 238, 7, 5, 3, 1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -13. Let y(h) = 3*h**2 - 3*h + 11. Let u(n) = 12*n**2 - 4*n**2 - 4 - 9*n**2 + n. Determine p*y(f) - 8*u(f).\nAnswer: -f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13938167?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -9. Suppose -m = m + x. Let z be m\/(-1)*2\/3. Which is smaller: z or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/439 + 1309\/3512. Which is greater: i or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (4 - 0) + (-5 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**3 - 513*m**2\/2 + 510*m - 1410. Solve f(z) = 0 for z.\nAnswer: 1, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o - 29. Let q be g(17). Let f(m) = -2*m**2 + 4*m + m**2 + 2 + 0*m. Calculate f(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*d**5 - 4\/7*d**4 - 2\/7*d**3 + 0*d**2 + 0 + 0*d = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1.21261?\nAnswer: 2.42522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3068 (b) 0.03 (c) 0.5 (d) 4 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 19360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -5*t**7\/42 - 23*t**6\/2 + 213*t**5\/4 - 1075*t**4\/12 + 60*t**3 + 316*t. Suppose p(l) = 0. Calculate l.\nAnswer: -72, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 1 (c) -27 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -3 + sqrt(72))**2 + -1 - ((sqrt(72) + -3 - sqrt(72)) + -3)**2) + -2 + 2.\nAnswer: -72*sqrt(2) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7284 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1403458 rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 41*n**2 - n. Determine m(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 23 = 7. Let t(g) = -6*g + a*g + 4*g - 4. Calculate t(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + u + 1 + (-7*u - 6*u + 11*u)*(0 - 4 + 2) to r + i*u and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15087289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 14*c**2 - 119*c + 19. Give b(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 78097.2 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -545, 0.4, 1\/9, -4, 0.3 in decreasing order.\nAnswer: 0.4, 0.3, 1\/9, -4, -545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i + 3328 = 3076 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, -32, 1\/5, 39, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -424 - -201?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -20235738 to the nearest 100000.\nAnswer: -20200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56982 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 7*g + 163 = 0. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1307, -2666, -3\/5?\nAnswer: 1307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004487 rounded to six dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5\/2 (b) 1 (c) 890 (d) 5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 12 (c) -804286\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5471328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*g**5*l**3 + 158758*g**3*l**3 + g**2*l**2 - 427*g**2 - 69*l**3 wrt g?\nAnswer: 360*g**2*l**3 + 952548*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/2 of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 327784233 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.14 - -0.06. Let v = 5 - 0. Sort r, -1, v in decreasing order.\nAnswer: v, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -12*n**3 + 5*n + 5. Let q(x) = -13*x**3 + 6*x + 6. Calculate 6*m(h) - 5*q(h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**3 + f**3 + 4 - 2 + 0 + 4*f as v*f**2 + z*f + b*f**3 + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -166*i + 498. Determine s(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70015 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 686312 and 24?\nAnswer: 2058936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -21 - 27. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - ((-6)\/2 + -1). What are the prime factors of (-3 + -2)\/(x\/(-33))?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j - 1270 = 5*g, -1254 = 5*g - j. Let y = 1\/204862 - -24795618\/102431. Let t = y + g. Find the common denominator of t and -11\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, f: 5, o: 2, m: 5}. What is prob of sequence fmm?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -9*l + 7*l**2 + 29 + 20 + l**3 + 23 - 76. Suppose 0 = 2*a + a + 24. Let u be y(a). Let n(c) = -2*c. Let z(f) = -2*f. Give u*z(x) - 3*n(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**3 + 2050*a**2 - 2180*a wrt a?\nAnswer: -12*a + 4100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1560427 rounded to the nearest 1000?\nAnswer: -1560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -14\/7357723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 6. Let i be c(5). Suppose -i*f + 7 + 33 = 0. Let n = -8 + f. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 12*x**2 + 14*x - 1. Let n(h) = -2*h**3 - 23*h**2 + 27*h - 1. Let m(q) = -6*n(q) + 11*z(q). Suppose -42 = -11*p + 17*p. Determine m(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n = 0. Let o = -20 + 25. Solve n*i + o = -5*j + 5*i, 4*i = -5*j + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23e - 23ad7?\nAnswer: -23899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213008 is divided by 53247?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20022021200 + 2001?\nAnswer: 20022100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5923 + 5932. What is the third biggest value in 10, v, 0.06, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.14, 0 in ascending order.\nAnswer: -5, -0.14, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 34*p + 33 - 20.\nAnswer: -34*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**5\/5 + 82*x**4\/5 - 156*x**3\/5 = 0?\nAnswer: 0, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 2120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/8, -3\/593, 0.5, 6\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 131 + 0 + 0 + 1.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 5*z + 4*z - 3*z + 33.\nAnswer: z + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/70)\/(4\/(-14)))\/((48\/12)\/352)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35452.7 - 35450. What is the smallest value in b, -2, 3, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + -1010112222?\nAnswer: -1010120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 253, 3 in increasing order.\nAnswer: -4, 0, 3, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 325521 + -5?\nAnswer: 325515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**4\/6 - 3*c + 248. Let a(r) = -2687*r. Calculate b(a(l)).\nAnswer: 14439938*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*o**2 - 3039*o + 202400.\nAnswer: (o - 352)*(7*o - 575)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311 divided by -410961?\nAnswer: 437\/136987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - 16 - -44) + 2 + 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - x - x)*(2*x - 16*x + 36*x).\nAnswer: -88*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 5*y - 2*y**2)*(y - 2*y + 5*y) - y**3 + 4*y**2 - 5*y**2 + 3*y**2.\nAnswer: -9*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -143*z + 142*z. Let d = z - 34. Suppose 0 = -7*q + 3*q + d. Calculate the remainder when 18 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1081268 and 996.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5354614 (base 8) to base 16.\nAnswer: 15d98c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*b - 5*w + 8, 5*b + 26 = 2*w. Let k(o) = -o**3 - 2*o**2 + 5*o + 3. Let l be k(b). Factor 3*g**3 - 3*g**3 + l*g - 15 + 3*g**3 + 21 + 12*g**2.\nAnswer: 3*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w - 1. Let d(x) = -29*x. What is g(d(u))?\nAnswer: 174*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3359\/910 + -183\/70. Let a = -6884\/13 - -530. Let 0 - 14\/13*t**4 - a*t**5 + 2\/13*t**3 + n*t**2 + 4\/13*t = 0. Calculate t.\nAnswer: -2, -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + j + 3 + 3 + (-6*j + 2*j + 3*j)*(0 - 2 + 4) + 2*j + 3*j - 6*j)*(-3 - 1 + 6).\nAnswer: -4*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - q - 315 + 333, -4*i - 2*q = -30 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bff when three letters picked without replacement from zzfbzzfzzfzzf.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, s: 1, n: 3, k: 3}. Give prob of picking 1 n and 3 k.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, -5, -6, -5, -2?\n\"Answer: q**2 - 6*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 245*t**2 - 6*t + 17. Let s be b(3). Suppose -5*l = -l - s. Let a = l - 3866\/7. Which is greater: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 7. Let d be (t + 2 - 1)\/1. Suppose d = -u - 3*u - 2*r + 38, 3*r = -3. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + j)*(j - 4*j - 5 + 3).\nAnswer: -3*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 302*h**2. Let i(j) = -83947*j**2. Give i(m(s)).\nAnswer: -7656302188*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 99 - d - 38 - 31 - 30. Let x(u) = 23*u - 7. Determine x(f(t)).\nAnswer: -23*t - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 81*c**3 - c**2 - 18. Let t(u) = -485*u**3 + 6*u**2 + 108. Let a(y) = -34*h(y) - 6*t(y). Find the third derivative of a(x) wrt x.\nAnswer: 936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4815*r - 39018*r + 2149*r - 16204*r.\nAnswer: -48258*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 522 - 114. 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: Sort 0.43, -72\/6293, 4.\nAnswer: -72\/6293, 0.43, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -173*r**2 + 2. Let i(g) = g**2 - 3*g**2 + 8700*g + 8698*g - 17398*g. What is i(w(z))?\nAnswer: -59858*z**4 + 1384*z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-21) - 6\/21. Suppose -a + 3*a - 4 = g. Let j(z) = -4*z**2 - 5 + 3*z + 2 + 2*z**a. Let o(y) = -5*y**2 + 7*y - 7. Determine -14*j(k) + 6*o(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3917*q + 11484*q + 13139*q - 3656*q.\nAnswer: 17050*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 129766, 129750, 129734, 129718, 129702, 129686?\n\"Answer: -16*o + 129782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zau when three letters picked without replacement from nzrarnzcu.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49467 by -35.\nAnswer: 49467\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -145686*i**3*w - 7*i**2*w - 4619*i*w - 4*i - 2*w - 3 wrt i.\nAnswer: -874116*i*w - 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27303 - -491603\/18. Let o be -2 - (-2)\/(248\/(-1073)). Let s = o - -22\/93. Find the common denominator of c and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 457, -5, 0, 3, -8, 8.\nAnswer: -32, -8, -5, 0, 3, 8, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40860\/91 + 449. Let n(t) = 2*t + 14. Let h be n(-7). Which is smaller: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2579*x = -2625*x - 552 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 103 = -23. Let n = 31 + -13. Suppose -2*j - 2 = -n. Calculate the highest common factor of o and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3525 + -3521. Solve 0 = -5*g + f*d + 5 - 30, 2*g = -d - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36302 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/3339414 and 25\/685008.\nAnswer: 26715312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 10*n - 225. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 8 + 12 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9745324571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 * 5.97907\nAnswer: 1.3153954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.84 - -0.16. Let t = 65760757.8 - 65760772.80000052. Let y = z + t. Round y to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 2, 3, -5 in decreasing order.\nAnswer: 37, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -6 - (-5 - -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 298802 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -y - 14 - 6, -y = 3*v - 8. Let j(u) = 1251*u - 7507. Let o be j(6). Sort v, -5, 0, o.\nAnswer: -5, o, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 12. Let g = -5.9 - d. Which is the closest to g? (a) 0.1 (b) -5 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t - y + 107, 0 = -t + 2*y + 61. Let l = t + -40. What is the least common multiple of l and 11?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(10\/3)*j**(-2))**47 assuming j is positive.\nAnswer: j**(188\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -6, 185372 in ascending order.\nAnswer: -6, -2, 4, 185372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.255 + 0.155. Let c = 43\/2 - 21. What is the nearest to n in -2\/19, c, -0.4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u**2 - 134*u - 663. What is m(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 90\/1081 in 2\/7, -75, -3\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5*sqrt(175)*-1)\/sqrt(5))\/((sqrt(45) + sqrt(45)*1)*6*-4).\nAnswer: 5*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/((990\/(-216))\/(-55)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*m + 25*m. Suppose -13*d + m = -39. Solve 0 = -l - 2*l + d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206157 - 129651 - 27813 = 6427*j + 291933 for j.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y - 5. Let k(n) = 2*n**3 - 39*n**2 - 21*n + 18. Let c be k(20). What is p(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 6216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 2)*(-3*w**4 - w**4 + 5*w**4) + (3*w - 4*w - w)*(-12*w**2 + 12*w**2 - 3*w**3) in the form f*w + d*w**2 + g*w**3 + o*w**4 + r and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1190)\/114 - (5 - 5). Let l = y + 31\/3. Which is smaller: 1\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, i: 9, m: 2}. Give prob of sequence mm.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1080\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*c**3*v**2*x**3 + 14*c**3*x**3 - c*v**2*x**2 + 11*x wrt v.\nAnswer: 26*c**3*v*x**3 - 2*c*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*b + 4*b - 4*b)*(2 - 6 + 2) - b + 1 - 1 - 52*b - 1273 + 1273)*(-2*b + 5*b - b)*(4 - 6 + 4) as n + d*b**2 + z*b and give d.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -269*k - 2. Let w(n) = -541*n - 5. What is 2*w(t) - 5*y(t)?\nAnswer: 263*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3.5. Let g = -0.05933 + 0.05933. Which is the nearest to 0.01? (a) -2 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0691645776 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - 0. Let t = 0 + x. Let f = 447\/55 - 96\/11. What is the closest to -1 in t, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40372068?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 3)*(-b + 4*b - 4*b) + 0 - 3 + 2 + 2*b in the form l + c*b and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 - 97*p**2 + 391*p\/2 - 98.\nAnswer: -(p - 1)**2*(p + 196)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1143 - -1147. Solve 9*d - u*d = -i + 12, -d = -2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4145 - 378 = 95*g - 1648. Calculate the remainder when 120 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -261b5 (base 12) to base 14\nAnswer: -14dcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*(54\/(-30))\/((-36)\/210).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10445 - -4522683\/433. Is j not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from {p: 1, e: 4, h: 5, v: 2, b: 2}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128*c - 228*c + 153*c)*(-2 + 2 + 3*c**2) - c**3 - 2*c**3 + c**3 + (0*c**2 - 3*c**2 + 2*c**2)*(-c + 5*c - 2*c).\nAnswer: 155*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 11*k**2 - 16*k - 39. Give m(-9).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.088, 2, 0.1, -32, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 221 in ascending order.\nAnswer: -2, 4, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-4 - (-3 - 0)) - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**6\/240 + g**5\/120 - 4*g**2. Let k(p) = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4090, 16373, 36844, 65503?\nAnswer: 102350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -743072, -1486154, -2229248, -2972354?\nAnswer: -3715472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.349515609 rounded to two decimal places?\nAnswer: 16.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 + v**2 + 2*v**3)*(4 - 3 + 1) + (-2*v**2 - 3 + 3)*(9*v - 49*v - v) + v**3 + 5*v**3 - 5*v**3 to the form f*v + g*v**2 + c*v**3 + w and give c.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j**2 + 0*j**2 + j**2)*(-23*j - 137*j + 56*j) + (0*j**2 - 3*j**2 - 2*j**2)*(2 - 2 - j) as w*j**2 + x + u*j**3 + a*j and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + y - 4*y + 30, 0 = 2*y - 6. Let q(z) = -z - 3. Let b be q(-5). Let c = x - b. What is the smallest common multiple of c and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6489 and 7.\nAnswer: 4.5423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is e4 (base 15) in base 11?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 584364.404 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*b + 4 = 0. Suppose 3*g = b*t - 47, 5*t - 5*g - 17 - 48 = 0. Calculate the lowest common multiple of 4 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6608355865 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 6:46 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 227024?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53 + 5?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13885*p**2 + 6920*p**2 + 18*p + 19*p + 6768*p**2 to the form l*p + q + v*p**2 and give v.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 22241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3495 - -3498. Solve 5*g - 23 = -4*f, -3*g = -12 + a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.073.\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 436613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 281 - 53. What is the greatest common factor of o and 1786?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 577910, 577914, 577920, 577928, 577938, 577950, 577964?\nAnswer: 577980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5272 rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/57*3477\/(-3294)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -30. Suppose 0 = 3*o - 0*o - l - 53, 3*l - v = -o. Suppose -q + o + 8 = 0. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-6 - -10))\/(-1*1). Suppose l = 3*a - 7*a. Suppose i = -5, -3*z + 339 = -a*z + 3*i. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 30223, 0.3, 1\/5, 2, 4, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1760, -1312, 2 in decreasing order.\nAnswer: 1760, 2, -1312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -z - 0*a + 10, 16*z + 24*z = 42*z + a - 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - r**2 + 1. Let p(t) be the second derivative of t**5\/5 - 7*t**4\/12 + t**3\/6 + 3*t**2\/2 + 176*t. Determine 3*m(f) - p(f).\nAnswer: -f**3 + 4*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 7*n - 2*y - 114, -3*n + 60 = 3*y. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-1603\nAnswer: -1602.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {r: 1, d: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1079590 divided by -94.\nAnswer: 11485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 36542 = 9*z. Is 151 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 2\/346160549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1776 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/20 (b) -1\/5 (c) 2528 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -131 - -207. Calculate the greatest common divisor of 228 and d.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -1.2 (c) 7\/9 (d) -0.5 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1.529 + 40869279\nAnswer: 40869280.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/2)*p*p)**(-45)\/(p**10\/p)**3)**(-4\/3) assuming p is positive.\nAnswer: p**246","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*y - 15, 5*y = -17 + 42. Let p(k) = k**2 - 4*k - 18. Let x be p(i). What is the first derivative of -11*g**3 + 73*g - x*g**3 - 73*g - 41 wrt g?\nAnswer: -114*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 26*j**2 + 31*j - 135. Suppose -11 = -5*x + 9. What is the remainder when z(25) is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20389013 times -0.2\nAnswer: 4077802.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3780 = 46305251*r - 46305341*r for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 1\/5*v**4 + 4\/5*v - 4\/5*v**2 - 1\/5*v**3 + 0 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.695 + -0.055. Let r = g + -1.64000455. Round r to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13543 - -120?\nAnswer: 14103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.12865ug to kilograms.\nAnswer: 0.00000005612865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -268, -535, -802, -1069, -1336?\n\"Answer: -267*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15421281 is divided by 1285?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upp when three letters picked without replacement from uupuuukukpu.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*u - 4*q - 3396, 0 = -2*u + q + 3399. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29071 divided by -7.\nAnswer: 4153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -541, -839, -1141, -1447, -1757, -2071?\nAnswer: -2389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 202.933 to zero decimal places.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 860928*v**3 - 750107?\nAnswer: 2582784*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 7833.\nAnswer: -1\/7833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {k: 1, l: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23496 and 1529.\nAnswer: 3265944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = -4*o, -2*u + 2*o = 5*o - 9. Suppose u + 36 = 2*h. What is the highest common factor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22333583 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 12) in base 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -77093 divided by 1297?\nAnswer: -77093\/1297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 149*v + 4830. Determine u(56).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 263*q**2 + 523159*q + 906957023 wrt q.\nAnswer: 526*q + 523159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -106908950 from 9.\nAnswer: 106908959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**24*t*t*((t*t*t*t\/(t\/t**25))\/t)\/t)\/(t**(1\/4))**(30\/7) assuming t is positive.\nAnswer: t**(55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2. Let q(a) = 630*a - 57. Calculate g(q(i)).\nAnswer: -793800*i**2 + 143640*i - 6498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482031 a multiple of 1050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 226 + 110. Let u be 2\/(-5) + -6 + s\/20. Which is the closest to 5? (a) 5 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-30 + 14) - ((10 - 18 - 59) + -8).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1930?\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 5*u + 8. Let w be p(-6). Suppose 5*g + 25 = 0, 0*g + 198 = k - w*g. Suppose k + 193 = 3*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4159, 3, -1, 1, 5 in decreasing order.\nAnswer: 5, 3, 1, -1, -4, -4159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92 - -10. Let t = m - -57. Let a be t\/10*16\/140. What is the smallest value in 2\/5, a, -2\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.072 - 0.328. Let a = 0.53 - 0.5. Let n = 0 + a. Is s smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 0. Suppose -w*n + 7*n - 12 = 0. Suppose 9*t = n*t + 460. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, c: 7}. What is prob of sequence lcc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = -202 - 134. Let y be (-1 + t - 2)*(-374)\/33. What is the greatest common factor of 34 and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 11*q**2 + 58*q - 27. Let l be h(-15). Which is the nearest to -2\/3? (a) l (b) 226 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**2 + 32*a - 25. Give j(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/(-44) + (-378)\/(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + 18 + -19 - (-48)\/7. Which is the closest to -0.3? (a) s (b) 3\/2 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 9*p**2 - p + 2. Let w(g) = -27*g**2 + 4*g - 7. Calculate 14*f(z) + 4*w(z).\nAnswer: 18*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1064.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**2\/2 + 165. Let y(z) = z - 1. Let w(x) = 18*x**2 - 4*x + 6. Let l(t) = -w(t) - 6*y(t). What is l(c(o))?\nAnswer: -18*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9401892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.73 (b) -508 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-55)\/33*216\/(-60). Solve -4*g = 0, -3*t + 2*g - 9 = -p*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-3)\/(-12) - 373\/876. Let p = y - -2\/219. Which is the third biggest value? (a) -71 (b) 1 (c) -1\/3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 91985 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -10*g**2. Let n(w) = -61*w**2 + 2*w + 6. Let j(k) = -6*l(k) + n(k). Suppose 4*d + 10 = -2, -2*d = -3*m + 21. Calculate j(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35785 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 - -75.5. What is the nearest to 0.03 in 3, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 19*r**2 + 91*r - 16. Let u be w(-5). Solve -16 = -4*c + u*q, -5*q + 44 = -3*c + 58 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3084106.\nAnswer: 2, 17, 90709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 + 5*w**3 + 3*w**3)*(1 - 3 + 5 + (-1 + 0 + 3)*(-2 + 5 - 2) - 17 + 33 - 14)*(4 - 2 + 0).\nAnswer: 56*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8*o. Let l(u) = 5501347*u. What is t(l(y))?\nAnswer: -44010776*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 + 2*i**2 - 3*i**2 - 7 - i**2 to the form t + y*i + s*i**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.025 times 2\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/324*-150*((-261)\/60)\/29.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 9*k**3 + 2*k**2 + 2*k + 1. Let l = -1 + 25. Let m be 114\/l + 3\/(-4). Suppose 5*s + 1 + m = 0. What is a(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**3 + 0 + 0*p + 9*p**2 + 1\/24*p**4. Suppose 3*j - 12 = 0, 5*h + 5*j - 20 = -0*j. What is x(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48243?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -452 - 1591. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*y + 17. Let z = -55355 + 55370. Calculate the remainder when z is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2984?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -12*s**2. Let g(f) be the third derivative of 7*f**5\/120 - 75*f**3\/2 + 16*f**2 + 1. Let p(u) be the first derivative of g(u). Determine q(p(m)).\nAnswer: -588*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-698 - 231 - 109)*(1 - 3*k - 1)*(k + 5*k - 5*k - 2) to the form o + p*k**2 + f*k and give f.\nAnswer: -6228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 2*n + 19*n**4 - 1 + 4*n + 6*n**3 - 4*n**3 - 18*n**4. Let j(a) = -9*a**3 - 13*a**2 - 13. Give -6*j(v) - 13*s(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 867 is divided by 157?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 2, c: 7}. Give prob of picking 1 t and 1 c.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0 = -4. Suppose 0 = -4*i - 5*f + 97, 3*i + q*f - 78 = -0*i. Calculate the remainder when 81 is divided by i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, -7, -30 in decreasing order.\nAnswer: 75, -7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k. Suppose 2*a + 61 = 5*q - k*a, -4*a = 4*q - 60. Let x be ((-1)\/(-3))\/(q\/(-6)). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -1 (c) -1\/5 (d) 4\/5 (e) -237\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3*r*r**(5\/4)*(r**(-2\/5))**49)**(-32))**(-21\/4) assuming r is positive.\nAnswer: r**(-12054\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 5 = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/6 and -123\/110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**8\/6720 + r**7\/315 + r**6\/80 + r**5\/30 + r**4\/2 + 4*r. Let y(m) be the third derivative of b(m). What is y(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h - 3. Suppose 4*s + 0*s + 20 = 0. What is the units digit of p(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13814 + -8797. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 6*o**2 - 8. Suppose -5*v - 3*d + 34 = -5, 2*v - 18 = -2*d. Let l be p(v). Let q(a) = -a**3 - 4*a**2 - 5*a + 3. Is q(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7338*-0.27\nAnswer: 1981.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16853069 is divided by 1228.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1109 is divided by 281?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597170?\nAnswer: 2, 5, 7, 19, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 - 4614*c**2 - 12 - 7*c**4 - 17 + 4614*c**2 + 155*c**3 as u*c**4 + r*c + k*c**2 + t*c**3 + g and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) 14.4 (c) 2\/7 (d) 2 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 9*z**2 - 10*z. Let v be m(10). Suppose -8*w + 44 = -7*w. Suppose v = 5*a - w - 61. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0303 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from {r: 3, v: 12, p: 2}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4 + 1 - 76*h + 9*h**3 + 7*h**3 - 15*h**3 + 73*h + 2*h**2. Determine q(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -28*b + 121*b + 91 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, m: 4, y: 9, o: 1, x: 2}. What is prob of sequence omm?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.2. Let c(l) = 2*l**2 + 20*l + 45. Let i be c(-6). Let y be (i - (-38)\/14)\/((-8)\/(-14)). What is the third biggest value in 1\/8, y, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(510)*-2 + sqrt(510))\/sqrt(10) + sqrt(51) + (sqrt(1275) + sqrt(51))*-1)\/(-5*sqrt(6)\/(-1*sqrt(2)*-4 + sqrt(2))))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 < -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -6\/59 (c) 434\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*u**2 - 88*u + 88*u + (-4*u + 5*u + 0*u)*(0*u + 4*u - 2*u))*(-2*u - u + u)*(0 + 2 - 3) in the form h*u + a + y*u**3 + o*u**2 and give y.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5*12\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.83, -1\/3, 5, -0.4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 1 = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -45672.\nAnswer: 1\/15224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2196519089?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 10*w**2 + 14*w - 14. Let o be j(-5). Suppose -174*m = -o*m - 15160. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**6\/120 - x**5\/20 - 5*x**4\/24 + 4*x**3\/3 + 29*x**2. Let q be d(4). Let p be 2 - 2 - (-20)\/q. Which is bigger: 4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times 84850.7?\nAnswer: 110305.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -73*z**3\/2 + 3*z**2\/4 = 0.\nAnswer: 0, 3\/146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 965341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180735?\nAnswer: 3, 5, 12049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43611 or 43658?\nAnswer: 43658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w - 7. Let a = 21 + -24. Let q be o(a). Let f = q - -19. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/11? (a) 7 (b) -4 (c) 2\/5 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppffppfppp. Give prob of picking 1 p and 3 f.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 2 - 2)*(-119)\/2. Find the first derivative of -10*q**2 + s - 430*q**4 + 10*q**2 + 331*q**4 wrt q.\nAnswer: -396*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -524, -1023, -1514, -1991, -2448, -2879, -3278, -3639?\nAnswer: -3956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.699*-5396.\nAnswer: -84711.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 250812, 250815, 250818, 250821?\n\"Answer: 3*h + 250809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105 + -105. Solve 16 = -4*t, -j - 4*j + 3*t + 7 = b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77651911?\nAnswer: 2311, 33601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -1\/11 (b) 21543 (c) -0.2 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1050*n**2. Let t(o) = 36*o - 5. Determine t(b(q)).\nAnswer: -37800*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -121, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + n**2 + 0 - 1)*(-n**3 + 2*n**2 - 2*n**2).\nAnswer: 4*n**5 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 - 140*g**4 + 4897*g**3 + 422*g**2 - 14980*g + 9800.\nAnswer: (g - 70)**2*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 7*f + 5. Let q(j) = j**2 - 5*j + 3. Let o(n) = -8*q(n) + 5*w(n). Let c be o(2). Sort -3\/5, 4, c, 0.3 in decreasing order.\nAnswer: 4, 0.3, -3\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108 - -109. Suppose -8*f + 17 = k. What is the third derivative of -1566*b**3 + f + 1536*b**3 - 34*b**2 - 2 wrt b?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from {j: 18, l: 2}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 7*l**2 - 2*l - 1189. What is j(-19)?\nAnswer: 3181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 115*m - 1497. Determine l(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -24, -10, 20, 72, 152, 266, 420?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -812*s - 462. Let n be u(-2). What is the highest common factor of 84 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 8*a**2 + 7*a + 10. Is k(7) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 148*x**2 - 1145*x + 41575. Calculate v(142).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, f: 1, z: 1, y: 5, p: 2, k: 3}. What is prob of sequence dp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 13*z = -27. Suppose 2*r = 6 + 2. What is the remainder when (r\/22 - (-290)\/(-22))*-2 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 21730912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/9*h + 1\/9*h**3 - 2\/3*h**2 + 2\/3 = 0. What is h?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*z + 2 - 10 = 0, -q + 4*z + 2 = 0. Suppose i + q*p + 30 = 3*i, -4*p = 20. What is the least common multiple of 12 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2602 - -2602. Solve -50*j + 48*j = p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-58 - (-80 - -30))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 120.94646274 and -0.1.\nAnswer: 120.84646274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 (base 2) in base 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 - -114.957. Let o = 0.367 - n. Let a = o + -0.51. What is the second smallest value in -0.2, a, 3\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p - 5*p + 3*p + (3*p - 5*p + 0*p)*(4 + 1 - 4) - 1 + 1 - p + p - p + 2*p + (1 - 1 + p)*(1 + 1 - 1) to the form l + f*p and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 43100?\nAnswer: -43103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 8:11 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89225 by -15.\nAnswer: 17845\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y. Suppose -77 = c - 12*c. Suppose -5*w + c*w - 844 = 0. Let t(s) = w - 422 - s**2. Give t(o(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -46*r + 2. Let t be (-25)\/(-40) + 36\/96. Calculate n(t).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from qknqkkqq.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -8. Let y(t) = t - 8. Let x be y(9). Let j be -2*2\/((-4)\/x). Which is the third biggest value? (a) j (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 23296.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 660, 1320, 1980, 2640, 3300?\n\"Answer: 660*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78550?\nAnswer: 2, 5, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24106 + 24538 - 294*t + 1408*t wrt t.\nAnswer: 1114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 - 13*m + 18. Let h = 3221 - 3216. Determine s(h).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 - 13347*u\/4.\nAnswer: u*(u - 13347)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -4*y + 7893*s - 7887*s, -y - 2*s + 16 = 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.042 and -247.\nAnswer: -10.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -307, -4\/3, -4, 17, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0495773 in 2, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1274, -1272, -1270?\nAnswer: -1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 2. Let a(v) = v - 1. Let y(p) = 7*a(p) - 6*m(p). Give y(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 35728.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-2196)\/8)\/(-1))\/((-14)\/(-28))?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 - (21 - 13 - -29).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -510 by -5.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56143 = 16*t - 39*t. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 7:03 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = -27*x + 31*x. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1085 plus -91009059?\nAnswer: -91010144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z. Let k(x) be the second derivative of -3*x + 2\/3*x**3 + 0*x**2 + 0. Let s(d) = -5*g(d) + 6*k(d). Let o(t) = 3*t**2. What is o(s(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23918407 is divided by 334?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1948)\/(-974))\/((20\/5)\/20*(-10)\/72).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a = -2*r - 10, 10 = -3*a - 2*r. Suppose 0*c - 2*c + 27 = 3*p, a = 4*p - 4. What is the least common multiple of c and 39?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 895256 and 376?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1421302*u - 1421302*u - 2*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2*l + 4*h - 215, -3*h = 4*l - 173. Let a = -47 + l. Let f(k) = k**3 - k**2 + k + 22. What is the units digit of f(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-16)*(4 + (-10)\/3). Let s = -92 - -95.7. Let c = -6.7 + s. Put 1, c, x, 3\/8 in descending order.\nAnswer: 1, 3\/8, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, q: 2, g: 4, w: 3}. What is prob of sequence ggqq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/((-172)\/(-215) + 9\/(-5)). Let s = 7\/4 - w. Factor 3\/4*f**2 + 0 + s*f.\nAnswer: 3*f*(f + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/15 + 76*a**2\/15 + 226*a\/5 - 252\/5.\nAnswer: 2*(a - 1)*(a + 18)*(a + 21)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 189672.2um in meters?\nAnswer: 0.1896722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/9)\/s)\/s)\/(s**(1\/8)\/s)*(s**3)**(-3\/4) assuming s is positive.\nAnswer: s**(-251\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 + -3 + -16 + 16 and 1455.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -10*c**2. Let m(p) = 14*p. What is n(m(f))?\nAnswer: -1960*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7703 - 4?\nAnswer: -7707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 0*l + 8*l. Let d = 24502 - 24505. What is s(d)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6524, -52306, -176592, -418640, -817708, -1413054?\n\"Answer: -6543*q**3 + 6*q**2 + q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qziq when four letters picked without replacement from {i: 5, z: 2, q: 13}?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 6*w. Calculate the lowest common multiple of 4\/(-1) + (14 - -2) and o(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1165*g. Let k(h) = -134*h**2 + 11*h + 22. Let q(l) = -73*l**2 + 6*l + 12. Let c(o) = -12*k(o) + 22*q(o). Give c(m(z)).\nAnswer: 2714450*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 4340?\nAnswer: -4332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + 3*(sqrt(209)*2 - sqrt(209)))*-5)\/((sqrt(11) - 1*sqrt(11))*2 - sqrt(99)*6).\nAnswer: 10*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1476, -1491, -1512, -1539?\n\"Answer: -3*q**2 - 6*q - 1467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26eb6 - -1d1e?\nAnswer: -25197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/665 and 8\/3496855.\nAnswer: 24477985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + t + 585 = 0, 359 = 3*f - 5*t + 6*t. Let i(m) = -104*m - 210*m + f*m. Let n(g) = -g**2. What is i(n(h))?\nAnswer: 196*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -33514875*d**3\/2 + 216225*d**2 - 930*d + 4\/3 = 0.\nAnswer: 2\/465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((6 - -4 - 5) + 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2*x = -85, -4*m - 98 = 4637*x - 4642*x for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 603582, 603614, 603646, 603678?\n\"Answer: 32*x + 603550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 398 (b) -5 (c) 5\/2 (d) 3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v. Let h(y) = 15*y. Calculate h(i(b)).\nAnswer: 45*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qskqkksk. Give prob of sequence kkkk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 106, 389, 860, 1519, 2366, 3401, 4624?\n\"Answer: 94*u**2 + u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10437 divided by -4.\nAnswer: -10437\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*i + 352 = 0, 0 = 5*a + i - 32 - 386. Calculate the remainder when 211 is divided by a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 6. What is the units digit of 1\/(-1)*-1 - d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -493647452 minus 0.00743?\nAnswer: -493647452.00743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -12373.\nAnswer: -12374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 56.4551121588?\nAnswer: 58.4551121588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/15)\/1)\/(299\/69)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1854320 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u\/(u*u**(-1)))))\/u)\/u)**30*u**(-1\/5)\/u*u**(1\/3)*(u**(-1)\/u)**17\/(u**(-1))**13 assuming u is positive.\nAnswer: u**(-778\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/3 - 230*f**4 + 63118*f**3\/3 - 610798*f**2\/3 - 84168*f + 2454232\/3 = 0. Calculate f.\nAnswer: -2, 2, 11, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -r + 5*w, -3*r - 5*w = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9216793 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -462279 at least 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13134717, 13134714, 13134709, 13134702, 13134693, 13134682?\n\"Answer: -i**2 + 13134718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**8*l)\/l*l**(5\/2)*l*l assuming l is positive.\nAnswer: l**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 16*p**2 + 10*p**5 + 2*p + 4*p**4 - 38*p**5 - 30*p - 12*p**4 + 56*p**3 = 0. Calculate p.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, z: 2, d: 1, h: 1, f: 4}. What is prob of sequence fxz?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 47982.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 356*q**6\/5 - 937*q**3\/6 + 895*q - 1. Find the second derivative of l(t) wrt t.\nAnswer: 25632*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12347, -36247, -60147?\n\"Answer: -23900*z + 11553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 15) to base 3\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-6) - 0\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*(q\/q**(-3))\/q*q)\/q)\/q)**(-2\/105))**43\/((q\/(q\/(q**(-2\/3)*q))*q\/(q\/(q\/(q*q**4))))\/(q**(-8)\/(q**(2\/5)\/q))) assuming q is positive.\nAnswer: q**(-130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 48, 4 in ascending order.\nAnswer: 4, 16, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79*a**6*o + 2*a**3*o**2 + 14*a**2*o**2 - 13*a**2 - 1 wrt a?\nAnswer: 9480*a**3*o + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -419 - -418. Which is the nearest to d? (a) 1\/6 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1373\/4 + -343. Which is the third biggest value? (a) -2\/9 (b) -11\/3 (c) 0.4 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -280*n**4 - 18114*n**5 - 18106*n**5 + 36225*n**5 - 285*n**3 = 0. Calculate n.\nAnswer: -1, 0, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474*p**2 - 518*p - 556*p + p**3 + 474*p**2.\nAnswer: p**3 - 1074*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1544 and 1149160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c (base 14) to base 7.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*h - 63*h**2 - 36*h + 3*h**3.\nAnswer: 3*h**3 - 63*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -20*p - 7. Let q(w) = -30*w - 10. Let u(s) = -5*q(s) + 7*z(s). What is the units digit of u(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -29) + -1 + -1 + 44 + -39?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 176162683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {u: 2, y: 18}.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*p**3 + 2341*p - 7023*p + 2334*p + 2348*p.\nAnswer: -30*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/13)\/((-126)\/(-819))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1300 - -5?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:26 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/n**(-24)))\/(((n*n*n*((n*n**35\/n)\/n*n)\/n)\/n)\/n) assuming n is positive.\nAnswer: n**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2. Let z(p) be the first derivative of -p**3\/2 - 3*p + 2. Let k(r) be the first derivative of z(r). What is d(k(h))?\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(825)\/sqrt(3) + sqrt(55)\/(-6*sqrt(5)) + 3)**2.\nAnswer: 290*sqrt(11) + 52735\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 405 - 410. Which is the second smallest value? (a) 0.2 (b) y (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 587555 to the power of 1\/2, to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/2*(3 + -1). Let m(p) = p**2 + 6*p. Let u be m(z). Let v = 146 - u. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - 40 + 40 - 2*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2115076 is divided by 92?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13348 divided by -13348\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/7)\/(3\/(-7)))\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 438.8224m?\nAnswer: 43882.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -34 - -23 - -46.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 8\/1 - 2. Suppose -20 = -2*p + 4*a, p = -2*p - 2*a + m. What is the remainder when 13 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/136 and 19\/340.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**2 - 8*j + 4. Let l be b(-6). Suppose -2*u = 4*h + 8, -3*u + 8*u = -l*h + 10. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -260 (b) 0.78 (c) -2\/7 (d) -1 (e) 10\/33 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p + 20. Let s(d) be the second derivative of d**3\/3 - 17*d**2\/2 - 29*d - 1. Let a(l) = -6*f(l) - 7*s(l). Calculate a(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 681*b**2*z**2 + 474741*b**2 + 2*b + 3264*z with respect to z.\nAnswer: 1362*b**2*z + 3264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-4 + 4 - 20*n**3).\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - ((40 - 92) + -26).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 219, -35, -325, -651, -1013?\n\"Answer: -18*y**2 - 200*y + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -226 - 20. Let p = -248 - f. Which is bigger: 2\/119 or p?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5922, 11818, 17700, 23562, 29398, 35202?\n\"Answer: -y**3 - y**2 + 5906*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 9. What is the remainder when 35 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 + h**5 - h**5 + (-3*h + 22*h - 44*h)*(-5*h + 10*h - 6*h)*(4*h - 2*h - h)*(-3*h**2 + h**2 - h**2).\nAnswer: -77*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*i - 10*i + 24 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y + 3*y + 2*y)*(4 - 2 + 0)*(-32233 + 32233 - 1778*y)*(0 + 3 - 2) to the form k + d*y + w*y**2 and give w.\nAnswer: -3556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12100120102 (base 3) to base 8\nAnswer: 315660","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*(sqrt(1700) + 2 - sqrt(1700))*-4 + 2*((sqrt(1700) + -2 + sqrt(1700) + 0 + sqrt(1700))*-1)**2.\nAnswer: -240*sqrt(17) + 30632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1950*t**3 + 182*t + 182. Let w(c) = -32*c**3 - 3*c - 3. What is -3*n(a) - 182*w(a)?\nAnswer: -26*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(125) + -4 - sqrt(5)*-3*1)**2.\nAnswer: -64*sqrt(5) + 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 19 - 15*n - 33*n)*(n + 7 - 13 - 5).\nAnswer: -53*n**2 + 602*n - 209","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1479\/6)\/(72\/3888)?\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*((0*k + 0*k + k)*(5 - 2 - 1) + 0 + 2*k + 0 + (-30 - k + 9*k - 7*k)*(0 - 2 + 4)).\nAnswer: 6*k - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1323646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3149088 is divided by 124.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c - 27. Suppose -5*q = 4*g + c, -q = q - 2*g. Are -3 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5912927 to the nearest integer?\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -22*h - 2. Let g(m) = -9 - 17*m + 2 + 0 - 50*m. Calculate 2*g(a) - 7*v(a).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -116 - 1\/5*m**5 - 13\/2*m**2 + 0*m**3 + 0*m**4 + m - 17\/2*m**6. What is the second derivative of x(j) wrt j?\nAnswer: -1020*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -93, 2, 3, 0 in descending order.\nAnswer: 3, 2, 0, -1, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44882180 and 950?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*w - 55*w = 2220. Calculate the common denominator of -17\/24 and 5\/(15\/w)*21\/567.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*(-189*p - 105*p + 49*p - 7*p) to r*p + a and give r.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3 + 8*s**2 + 0 + 2. Let a(l) be the first derivative of 3*l**3 - 68. Let m(t) = 3*a(t) - 4*k(t). What is the first derivative of m(i) wrt i?\nAnswer: -10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130752889.\nAnswer: 19, 6881731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(440)\/(sqrt(648) + (-1*sqrt(648) + sqrt(648) - sqrt(648)) - sqrt(8)))\/((sqrt(450)\/(sqrt(10)*-1) - sqrt(45))\/(sqrt(54)\/(sqrt(24)\/sqrt(4)))) + -4.\nAnswer: -4 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 8:12 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 705.643 milligrams?\nAnswer: 0.705643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*w - w**3 - 3 - 3*w**2 - 22*w**2 + 34*w to s*w**3 + r*w**2 + m*w + q and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 213627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1 = 13, -g = -3*b + 50. Let z = g + 63. Solve 2*i - z = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-3)\/(-30))*6\/15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*l - 7. What is the highest common factor of l and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 1. Let h(y) = 8*y + 5. Let i(m) = 2*h(m) + 9*v(m). Let x be 48\/(-20) - (-3)\/(-5). What is i(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + 9023?\nAnswer: 9037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 7. Let c be u(5). Let j(g) = g + 2. Suppose 2*h + 48 = 4*a, -5*h = a + 7 + 3. Calculate the remainder when a is divided by j(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28443.8 and 0.63.\nAnswer: -17919.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -1565*s**3 + 37*s**2 + 48*s + 10. Calculate m(-1).\nAnswer: 1564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 41 = -2*i, 0*r - 19 = -i + r. Suppose 0 = -4*w + 36 + i. Suppose 3*c + 4 = 5*q, 5*c + 2*q = 2 + 43. What is the remainder when w is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 1624098274?\nAnswer: -1624098274.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i - 23. Let r(f) = -f - 3 - 7 - 3 - 2. Suppose -55 = -16*k + 57. Let b(m) = k*r(m) - 5*a(m). Differentiate b(p) with respect to p.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k + 23. Determine o(-12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 4:21 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/(21\/315)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.3123 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6*i = i + 150, 346 = 5*l - 2*i. What is the remainder when l is divided by 42?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 8:32 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 + 173. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 937496784?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3261a - -2708?\nAnswer: 35227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-18204)\/(-8) - 9\/2?\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1962)\/330597 + (-84804)\/20220?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 162 = -3*p, -4*w - 17838 = -17938 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/1017 = -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**4\/3 - 76*n. Let v(l) = 2*l - 3. Determine v(a(i)).\nAnswer: -8*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (184\/138)\/((-1)\/(-4422)*-1). Let a be o\/(-10) - (-5)\/(75\/6). What is a rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/8 and (-15)\/(-75) - 527\/1060.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 6*q + 5. Let r(w) = -w + 1. Determine c(p) - 4*r(p).\nAnswer: p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1 + 4*p**2 - 2*p - 4*p**2 - 4*p**2. Let l = -9 + 12. Suppose -l*c = -c + 2. Give r(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59 in 5, 5\/3, 181?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -815?\nAnswer: -811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -142 less than or equal to -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2 + 741266*u - 137368820689 = 0. Calculate u.\nAnswer: 370633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 553461 - -24?\nAnswer: 553505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**3 - 2307*v**2 + 2310*v = 0 for v.\nAnswer: -770, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 152, 50, -5, 3 in decreasing order.\nAnswer: 152, 50, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 12*s**2 - 24*s + 4. Determine j(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 + 17 - 10*x + 5 - x - 5 - 2*x - 1 + 1 + (x - 4*x + 4*x)*(-3 + 1 + 3).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s\/s**(1\/3)*s*s)\/(s\/(s*s**(-7\/2))))\/(s**1)**35 assuming s is positive.\nAnswer: s**(-197\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 30187313\nAnswer: -30187315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-8) - (-171)\/12. Solve -r = 4*y - 12, -3*r + y = -4*y + q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-21))\/(y**(1\/12)\/y))\/(y**(-2\/7)*y)**(3\/13) assuming y is positive.\nAnswer: y**(24845\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1520*v - 8181. Let t be q(-5). Are t and -4072\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/11 - 122*m\/11.\nAnswer: 2*m*(m - 61)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38.1 + -15.1. Put m, 4, -1\/5 in ascending order.\nAnswer: -1\/5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10082715 (base 10) in base 7?\nAnswer: -151462446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/8 + -36 + 3420\/96. Let a be 32\/6 - (-1)\/(-3). Calculate the greatest common divisor of a and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 39 = -i - 7, 5*v + 10 = 5*i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/2 - 365*t**3\/2 - 37713*t**2\/2 - 779935*t\/2 - 371293 = 0. Calculate t.\nAnswer: -169, -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000194 rounded to 6 decimal places?\nAnswer: 0.000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134.252 - -0.252. Let x = -191 - n. Let k = -57.58 - x. What is k rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q - 17. Let o be m(-6). Let y be 4\/6*(61 - o). Let d be (4\/6)\/((-4)\/(-30)). Solve 0 = 5*u - 3*r + y, -d*u - r = 4*r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*285\/(-114)*-3*(-12)\/135.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1177 - 3?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 334 + -117. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a + 17. Let s be b(5). Suppose 3*l = s*o - 4*o + 23, 4*l - 2*o = 12. Sort 0, l, -2, 4.\nAnswer: -2, 0, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2\/(d*d**(-2\/11)*d*d)*(d\/(d*d**(-1\/4)))\/(d*d**(3\/7)))\/((d\/d**(-2\/7))**41*d**7\/(d*d\/(d\/d**6*d))) assuming d is positive.\nAnswer: d**(-17159\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 7*p**2 - 6*p + 4. Let o be q(6). Suppose z + 0*z - 3*i - 5 = 0, -4*z - o*i = -4. Calculate the highest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27869475 to the power of 1\/2, to the nearest integer?\nAnswer: 5279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4030, 8085, 12134, 16177, 20214, 24245?\n\"Answer: -3*i**2 + 4064*i - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)*j)**16\/(j**(-7)*j\/j**5) assuming j is positive.\nAnswer: j**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 less than 520\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*y + 10, y - 19*s + 21*s = 1. Calculate the least common multiple of y and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11000, -12214, -14240, -17078?\nAnswer: -20728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f + 6*f - 15*f + 50 to z*f + p and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19097?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 1, z: 2}. Give prob of sequence ru.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*x, 5*w = -8*x + 4*x + 9. Let a(l) = 7*l**2 + 9*l - 11. Let t(r) = -11*r**2 - 14*r + 17. Let z(c) = w*t(c) + 8*a(c). Factor z(v).\nAnswer: (v - 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 364679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9793479 and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (728\/546)\/((24\/252)\/(18\/(-4))).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3455 is divided by 63.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -868*j**2 + 1421*j**2 - 4756*j - 2 - 554*j**2 in the form s + p*j**2 + z*j and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1504, -1822, -2368, -3148, -4168?\nAnswer: -5434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 64\/21 - (-16)\/56. Is k < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 4097456.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**4\/12 + 5*y**3\/2 - 7*y**2\/2 - 272*y. Give l(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -26 - (2 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 89153578 and 193711?\nAnswer: 88959867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (2\/1)\/((-28)\/70). Suppose -3609 = -5*w - 3*z, -732 = 7*w - f*w - 4*z. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -1, -5, -2, -4, 1075 in decreasing order.\nAnswer: 1075, 47, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 90, 5, -18\/13?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Solve 0 = -l*v - 5*v + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-3)*(1 + (-15)\/6). Suppose 0 = -c*w + 232 + 22. Let l = -115 + w. Calculate the greatest common factor of l and 144.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**2 + 48*q - 188. Let t be l(-15). Solve t*y - 655*y + 72 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) + (sqrt(39) - sqrt(39)*-3)*6)\/(sqrt(36)\/(sqrt(24)\/sqrt(2)))*4)**2.\nAnswer: 130000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.026206 millimeters?\nAnswer: 0.000005026206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 + 3*w - 1. Let m(t) = 3*t + 2. Let x be m(-2). What are the prime factors of f(x)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 3\/2*t**2 + 2*t + 75. Suppose g = 2 - 0. Determine c(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-24)\/(-32)*(-2)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**2 + 173*b**4 + b**3 + 0*b + 0*b**3 - 174*b**4 - 17 + b + 0 to the form n*b**4 + z*b**2 + p + o*b**3 + l*b and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -16*o**2. Let b(s) = -5*s**2. Let f(r) = -10*b(r) + 3*z(r). Let j(c) = -6*c**2. What is j(f(w))?\nAnswer: -24*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 + 5*u**2 + 5*u + 5. Let x(g) be the second derivative of g**5\/4 + 7*g**4\/6 + 7*g**3\/3 + 7*g**2 + g. Let l(o) = -8*r(o) + 3*x(o). Give l(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12517931, -12517923, -12517915, -12517907?\n\"Answer: 8*i - 12517939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 less than 3293?\nAnswer: 3164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14128 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*i**3 + 2*i**4 - i + 14*i**3 + 2*i**2 - i**2 + 20*i**3 - 4 to a*i**4 + q*i**3 + l + p*i**2 + g*i and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -163.2 + 162.7. What is the fourth smallest value in -5\/2, r, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 8\/6205235 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -k + 3, 3*k - 7 = 2*i + 2. Suppose i = -9*f + 3*f + 12. Let b = 13 + -7. Calculate the lowest common multiple of b and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1007)\/(-114) - 9)\/((-8)\/(-18)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.07 + 20.07. Which is the third biggest value? (a) -29 (b) -0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 2*d**2 + 8*d**3 + 2*d**2.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llnnnnnnxlxl. What is prob of picking 1 n and 1 x?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/154791824 and -127\/193489780.\nAnswer: 773959120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15651368 and 16.\nAnswer: 31302736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w - 93. Let i = -0.967 - -0.13. Let l = i - -1.237. What is the biggest value in w, 4, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 129*b**3 + 15*b**4 - 48*b**2 - 305*b**2 - 31*b**2 + 399424*b - 399292*b.\nAnswer: 3*b*(b - 2)*(b + 11)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4213 + 4213.4. What is the smallest value in 3, 17\/4, -4, -0.5, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*w**3 - 1213537*w**2 + 2*w - 4069227 wrt w?\nAnswer: -15*w**2 - 2427074*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + (-5 - (-21 + 34 - -2)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/((i\/(i**(1\/11)*i))\/i)*(i*i\/(i**1*i))\/i*(i*i**4)\/((i*i**(-3\/5))\/i) assuming i is positive.\nAnswer: i**(423\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 118189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, s: 1, a: 3, o: 5}. What is prob of picking 1 s, 1 o, and 1 z?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33140 rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2578 divided by -1289\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2 - 0.2. Let i = 20 + -37. Let s = i - -15.6. Which is greater: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = -5*j - 139. Let d be ((-2)\/3)\/(6\/j). Let c = 22 - d. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 308 and 8?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 552 divide 2157768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 9430.\nAnswer: -9\/9430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 2. Let b be (d + 16)*(2 + -1). Let x = b - -4. Calculate the greatest common divisor of 190 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1 - 6\/40)*-2*(-108)\/(-81).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 12. List the prime factors of c(18).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 839057*s - 32*d = 839059*s + 358, 0 = -3*s + 4*d + 35 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2251 is divided by 69.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 194326 to the nearest one thousand.\nAnswer: 194000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/3)\/(3\/9). Suppose 0*w + 70 = -5*i - r*w, 5*i = 4*w - 34. Let x = 22 + i. Calculate the greatest common divisor of 132 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -796458 divided by 30633?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.6? (a) 4 (b) -0.432 (c) -0.04 (d) 0 (e) -2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 3, -10, 49, 111 in ascending order.\nAnswer: -10, 1, 3, 4, 49, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000239470006 to 5 decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -20. Suppose 4*k - 44 = -3*l - 19, 5*k - 70 = 4*l. Solve y = -3*z + k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(1\/4)\/r))**(-13)*r**(-8\/9)\/(r*r**12) assuming r is positive.\nAnswer: r**(-1319\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - b = -2064, -v + 550 = -2*b - 467. What is the greatest common divisor of v and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 5, 1, -1127, 2\/5 in descending order.\nAnswer: 5, 1, 2\/5, 0, -5, -1127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*(a*a**(-3\/5)*a)\/a)\/a)\/((a\/a**22)\/a)*((a**9*a)\/a)\/a**(-4\/3) assuming a is positive.\nAnswer: a**(506\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 8:25 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 337 = -2*j - 8*d, 2*j + 4*d - 342 = 0. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 527514 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -22. Solve 2*f**5 - 1\/2 - 1\/2*f**4 + 2*f + f**2 - y*f**3 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7307.759 tonnes in grams?\nAnswer: 7307759000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14435 is divided by 119?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**3 + 20668*s**2 - 144480*s = 0?\nAnswer: 0, 7, 5160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, k: 2, v: 9, o: 1, e: 4}. Give prob of picking 1 v and 2 k.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006382 rounded to 6 dps?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-3))\/(16\/24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3989 + 4336 + 71*j - 64*j. Calculate r(-51).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 76 = 4*f, -108 - 4 = -3*y - 4*f. Solve 2*q - o + 1 = 0, -y*o + 35*o + 3 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 - 3.67. What is k rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 148 = -2*b - 2*d, 0 = -2*d + 4. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 1340783?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*v**2\/7 - 329148*v\/7 + 3116574\/7.\nAnswer: -2*(v + 12669)*(13*v - 123)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.979 - 0.721. Let c = 1716 + -1681. Let i = v + c. What is the biggest value in i, -0.1, 1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/729 and -32\/99?\nAnswer: 8019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 38, 86, 164, 278?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.66 - 0.29. Let g = -1.486 - -1.256. Let i = p - g. What is i rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2720588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 282 and 579.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2419 = -204*h + 437. Let t = -0.38 + -0.02. Let n = 0.92 + 0.08. Which is the nearest to -0.3? (a) t (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -4. Suppose 0 = n - 18 + m. Suppose 0*u + 5*u = n. Solve -8*y = -u*y - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 2*a, -2*n = -4*n - 4*a. Solve -p + 5*g = -n*p + 16, 0 = 4*p + 2*g - 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 179 + -179. Suppose 2127 = 4*q + 5*m, -2*m + d*m = q - 531. What are the prime factors of q?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 237.6 - 239. Let x be (-23)\/(-4) - 1\/(-4). Suppose 2*z + 8 = x. What is the smallest value in q, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 276135 and 5?\nAnswer: 276135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 26, 171, 490, 983, 1650?\n\"Answer: 87*y**2 - 116*y + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p = 2. Let v be (-9 - 4) + -1 + p. What is the biggest value in v, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 93*a + 2. Let c(q) = -186*q - 5. Calculate 4*c(w) + 9*h(w).\nAnswer: 93*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*r + 805*r**3 - 1627*r**3 + 39*r + 851*r**3.\nAnswer: 29*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3 + 3 - k. Let p(c) = -2*c. Let x be p(-1). Suppose x*t + 4 = -2. Calculate w(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5156*x - 46416*x - 6537*x.\nAnswer: -58109*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:54 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2716*g - 10247 - 31038 - 41551 - 4076 = 0 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -12*s - 22. Let t be r(-2). Solve 3*x + 4*z - 24 = 0, t*x + 9 = 5*x - z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 87 = 3*n - 2*t, 0 = 3*n - t - 96. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24.8 and 5?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eighteen sevenths of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -195*o**3 + 69*o**2 - 814*o**2 + 1005*o**3 + 498*o**3 - 86*o**2 wrt o.\nAnswer: 7848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -124.7 * -68279\nAnswer: 8514391.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -80, -5, -14970, 2, 3 in decreasing order.\nAnswer: 4, 3, 2, -2, -5, -80, -14970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*v**2 - 4*v**5 - 57*v + 57*v + 55*v**3 - 30*v**4 + 9*v**5.\nAnswer: 5*v**2*(v - 3)*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*s - 7 = -i, -6 = -4*i + 2*s. Let k be i - (0 + 8\/(-2))*1. Let m(q) = -q**3 + 7*q**2 - q - 8. Determine m(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -7. Let p = 8 + m. Factor p*j**2 + 2*j + j + j + 2.\nAnswer: 2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 262 = 158. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**6 + 13*k**4 + 28*k**2 - 5. Let z(c) = 7*c**6 - 27*c**4 - 56*c**2 + 11. Let w(o) = 5*l(o) + 2*z(o). Find the third derivative of w(q) wrt q.\nAnswer: -720*q**3 + 264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60653489 a multiple of 1322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1517 and 2542?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t = 94 - 314 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -257\/6. Let a(r) be the first derivative of -1\/5*r**5 + 1\/3*r + 2\/9*r**3 + 1\/2*r**2 - s*r**4 - 1\/18*r**6 - 1. Factor a(y).\nAnswer: -(y - 1)*(y + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 71\/(-21) + 2 + 2\/(-7). Suppose 4 = 3*y + 7. Which is the closest to y? (a) k (b) 2\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1178*w - 3479*w + 8404*w + 12099*w to the form r*w + f and give r.\nAnswer: 18202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 305141191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014702 to six dps.\nAnswer: -0.000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 435576.\nAnswer: 1\/145192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-31)\/(-3))\/(2\/(-6)). Let m be s\/2 - (-4)\/8. Let l = m + 70. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2*(0\/13)\/(-3). Solve -o - h = 2, m*h - 4*h = 5*o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(572) + (3*sqrt(572) - sqrt(572)) - sqrt(572))*-3)\/(sqrt(11) - 1*sqrt(11)*3))**2.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9857414599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3a4 (base 16) to base 7\nAnswer: -2501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*p = -9*c + 535, -c = -p - 118. Solve 0 = 133*r - c*r - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 4:12 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -7. Suppose l - g = -n - 4, 0 = n + 5. Solve -l*q + 5 = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 5 + 2*v**2 + 2 + 2 to the form h*v + s + k*v**2 and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 198\/3481 or 1?\nAnswer: 198\/3481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-16)*(-16)\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1 = -y, -z - 4*y + 4 = -0*z. Let t = -84 - -81.9. Which is the second smallest value? (a) z (b) -1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -32, -3, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -912735, -1825481, -2738227, -3650973, -4563719, -5476465?\n\"Answer: -912746*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2830 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4310162 and 0.1.\nAnswer: 431016.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 3*q**2 - 7*q**2.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 9:09 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/751 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/6*4 + (-2)\/4. Let f = 3.94 + 0.06. What is the third biggest value in a, -3\/4, f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-851)\/(-111) - (-2)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880.7128 milligrams to kilograms.\nAnswer: 0.0008807128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.60627ml in litres?\nAnswer: 0.03060627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -9. Suppose -8 = 2*m - v*m - 2*b, -m - 16 = -4*b. Let g = 2 - m. Solve c = -y - 3, 0*c + 6 = g*c - y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -571304 at least as big as -571303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*n**4 - 3*n**3*w - n**3 - w + 450 wrt n.\nAnswer: -148*n**3 - 9*n**2*w - 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/(-15))\/((-290)\/(-25)). Let p = 247 + -247. Which is bigger: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -87, -16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyyl when four letters picked without replacement from {y: 15, l: 5}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*v. Let k = -38 + 40. Differentiate v + 3 + 7 + 13*y**k + 2 with respect to y.\nAnswer: 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -6*x + 160, -4*x - 5*r + 56 = -0*r - 69 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002975021 rounded to 5 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4610 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108392?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4866 times 0.236?\nAnswer: -0.1148376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 3)\/(-4 + (-28)\/(-8)). Solve -7 = 3*s + 5*x, -v*s - 1 = 5*x + 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 8:12 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.48 + -24. Let r = a - -0.02. What is the second biggest value in r, -4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 1.6693.\nAnswer: 1.9693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 2, 13 in increasing order.\nAnswer: -2, -1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**3 + 37446*a**2 + 77148872*a + 77111424 = 0?\nAnswer: -1872, -1, 20596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 798714728?\nAnswer: 2, 7, 2441, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1 = 13. Suppose 1 = 2*b - 3*t, 4*b - 4*t - 5 = t. Suppose -4*z = p - 4 - 20, b*z + 3*p = 37. Is n greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7757.5095 - 7753. Let h = -4.5 + j. What is h rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 11*d**2 - 9*d - 9. Let m be b(10). Calculate the remainder when 67 is divided by 3 - 1\/(m\/(-20)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101011111111000 (base 2) to base 14.\nAnswer: -8397a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -31. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z - 415 = -41*z - 995 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3916 is divided by 3902?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(8))*-4 + sqrt(8))**2 - (sqrt(98) + -2 + sqrt(98) + sqrt(98)*2)**2.\nAnswer: -1484 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 642 and 140513577.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23815, 47621, 71433, 95251, 119075?\n\"Answer: 3*p**2 + 23797*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, v: 14}. What is prob of picking 1 a and 2 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 103*k**3 - k**2 - 2589 + 2587 - 2*k**2 + 2*k**2 - 457*k**3 in the form a + j*k**2 + m*k + b*k**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16 - -4 - -5) + (-315)\/(-44). Sort -1\/3, 2\/7, -2\/11, l, 2\/5.\nAnswer: -1\/3, -2\/11, l, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p**2 + 307*p - 1826. What is z(-67)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 851634 and 238818.\nAnswer: 4506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1145355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4*x = -216 - 0, 2*r = 828*x - 827*x - 57 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/3 + 617711*s\/3 + 8236680 = 0. What is s?\nAnswer: -40, 617751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2933 is divided by 486?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**5\/13 + 94*f**4\/13 - 1532*f**3\/13 + 9540*f**2\/13 - 14850*f\/13 + 6750\/13 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2*r - 84, -2*r - r = -n + 9. What is the lowest common multiple of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d1 (base 16) to base 9.\nAnswer: -1305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (-24 - (12 - -7)) + 16.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/19 and -49\/38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 1, 2\/19, -2\/207, 3\/5 in descending order.\nAnswer: 1, 3\/5, 1\/2, 2\/19, -2\/207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 0.08, -21, 1\/22, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 59 = 32*p - 201 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 68*g**2 - 124*g + 776. What is the units digit of l(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9*q + 346. What is the lowest common multiple of f(-36) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-30)\/350*3*(-16)\/72?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42967 - 88?\nAnswer: -42a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t - 4*t + 2*t - 2*t - 25. Let f be p(9). Solve 3*y = -i + y + 2, -5*i + 22 = -f*y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 247*k**4\/12 - k**3 + 9*k. Let r be j(-2). What is r rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*k - k - 2 = 0, 4*g - 5*k - 31 = 0. Calculate the least common multiple of (-2)\/(-6) - (-32)\/3 and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - 3*l**2 - 4*l. Let h be d(3). Suppose -j + h = 5*q, -4*j + j = 3*q - 21. Let o(c) = 33*c + 14. Is o(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-273)\/(-4485)*-23*-15\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-91)\/(-13)*(-48)\/56\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-8\/5))\/(((o**(2\/13)\/o)\/o*o*o)\/o)*o**(-1\/2)*o\/(o\/o**8))**(-24\/5) assuming o is positive.\nAnswer: o**(-17076\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10803712 at least as big as 10803713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1168454 or 1168450?\nAnswer: 1168450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 352008 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -0.00109654?\nAnswer: -0.00109654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -379509 - -0.06?\nAnswer: -379508.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 4 (c) -0.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 0*a**4 + 0 + 19\/60*a**5 - a - 11\/6*a**3 + 13\/2*a**2. Let i(p) be the first derivative of d(p). Differentiate i(t) wrt t.\nAnswer: 38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4*-4 + 65. Suppose a = 3*u - 0*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -185 and 1953865850?\nAnswer: 1953866035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*r + r = -285, -2*b - 2*r = -182. Solve 96*f = b*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Suppose c = -2*u - 0*u + 6. Suppose 2*w + 3*x + 2060 = 0, -w - u*x = -0*w + 1030. What is w rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 26*c - 10. Let i(r) = 23*r - 12. Give 6*i(g) - 7*l(g).\nAnswer: -44*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**4 + 36*k**3 - 732*k**2 + 604*k + 1368 = 0. Calculate k.\nAnswer: -19, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 + 19*m**2 + 34*m**2 + 33*m**2 - 129*m**2 + 21*m**2 + 3*m**2.\nAnswer: m**3 - 19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1246264 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7334 - -12478. List the prime factors of d.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -775*d**3 + 45718*d**2 + 400*d + 757. Give y(59).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 - -77. Suppose 3*a - 4*m = -1304 + 54, -a + 2*m - 414 = d. Let o = -289 - a. What are the prime factors of o?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**2 + 3*h. Let b(r) = 5*r**2 - 4*r. Calculate -3*b(i) - 4*c(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i. Let c(m) = -622 - 7*m + 622. What is v(c(d))?\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3895 divided by 309\nAnswer: -3895\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (196\/(-42))\/((4\/3)\/(-2)). Suppose -59*v + 52 + a = 0. Let g(q) = -24*q**3 - q. What is g(v)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.42 + 0.22. What is the nearest to 1\/5 in 2\/15, 2, x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2951515*p**3 + 2993517 wrt p?\nAnswer: -8854545*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1287 = -63*w + 30*w. Sort -5, 0, w, 2 in ascending order.\nAnswer: -5, 0, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 8*v = 3 - 39, 12 = 5*a - 4*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 21*a**2 - 66*a + 49. Let g(h) = -3*h**3 + 64*h**2 + 197*h - 147. Let w(s) = 7*d(s) + 2*g(s). Let z be w(22). Solve -z*u - 8 = -18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 386*w + 37249.\nAnswer: (w + 193)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-16) + (-973)\/196 + 5. What is the closest to -1\/5 in -5, x, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n. Let d(u) = -7*u + 49*u - 498 - 43*u. Give d(m(c)).\nAnswer: -2*c - 498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -279*k**3 + 17*k**2 + 44*k + 15. Let s be j(-2). Which is the second biggest value? (a) s (b) -3 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*d - 2*f + 428 = -7*f, 38 = 2*f - 18 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*r + 0)*(0 + 5 + 1) + (-3*r - r + 3*r)*(4 - 14 + 3) + (0*r + 3*r - 5*r)*(0 + 0 - 2) + r - r + 2*r as n + g*r and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**3*t*u - 1268*f**3 + 97*f**2*t - 11*f*t*u + 2*f*u wrt f?\nAnswer: -12*t*u - 7608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13413796.\nAnswer: 2, 11, 83, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 466, 734, 1004, 1276, 1550, 1826, 2104?\nAnswer: 2384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35.8816892 + 3.8817272. Let v = 30 + 2. Let l = v + t. What is l rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 3 - 3*r**2 + 7*r - 2*r**3 + 1\/4*r**4. What is the units digit of w(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 36*b**2 + 30*b**2)*(-1 - 8 + 4 + 3 - 7 + 1 + (-3 - 2 + 4)*(-3 + 2 - 1) - 2 - 2 + 3).\nAnswer: -462*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56348, -1, 0, 26.\nAnswer: -1, 0, 26, 56348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16889?\nAnswer: 16889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - -0.02. Let v(g) = 2*g**2 + 0*g**2 - 1 + 0*g**3 - 2*g**3. Let h be v(-1). Which is the nearest to f? (a) h (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183702989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -60670096?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 m when two letters picked without replacement from meqssqeestte?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/121)*j)**(2\/11) assuming j is positive.\nAnswer: j**(246\/1331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 911 (base 11) in base 6?\nAnswer: 5033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**5 + 20*s**4 - 124*s**3 - 116*s**2 + 792*s - 576 = 0.\nAnswer: -8, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 11*i**2 + 5. Let r be k(11). Suppose -4*o = -2*l - 554, -2*o + 5*o - r*l - 426 = 0. List the prime factors of o.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/d*d)**16*(d**(-1\/4))**(-38) assuming d is positive.\nAnswer: d**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -7.9. Which is the closest to o? (a) -1\/2 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 5*k**2 - 6*k - 5. Let u be m(-4). Let b = 84 + -80. Let v(r) = -2*r + 2. Let p be v(3). Sort 0, p, b, u in descending order.\nAnswer: b, u, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.109668 + 0.12.\nAnswer: 0.010332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, 4 in descending order.\nAnswer: 4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 114134731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26162991 is divided by 7650?\nAnswer: 7641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.004? (a) 28 (b) -2\/57 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*k + 47*k + 24*k + 31*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 1. Let d = -4 + 4. Let a be (d - (0 - -1))*2. Let x be h(a). Is -2\/7 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 30 = -2*m, -5*m + 4*t - 89 - 32 = 0. Let g(h) = 4*h + 103. Let f be g(m). Solve -4*w - w = -q - f, w = 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.43 * 65.\nAnswer: 27.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -319\/2 and -159 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/7 + 58\/(-14). Calculate the remainder when (-31 + 0)\/(u\/4) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/19, -5, 5?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0 = 3*s + 2, 0 = 4*s + 4*r. Calculate the greatest common factor of s and 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.205 + -1.964. Let t = 21.874 - 22. Let b = u - t. Round b to two decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -535.97 + 573.4. Let n = u + 0.57. Let w = 43.1 - n. Round w to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from {d: 9, y: 5}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-4)\/24*-4. What is the second biggest value in -0.04, 1\/9, l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78749 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 11*c - 29 - 9*c)*(-3*c - 7*c - 109*c).\nAnswer: -238*c**2 + 4403*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 24197*c - 1236654. Determine r(51).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.01321l to millilitres.\nAnswer: 64013.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-27)\/(-5))\/1 + -1. Let u = -17214\/4585 - 122\/131. Let m = x + u. Which is smaller: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -12. What is the common denominator of 91\/12 and (-139)\/(r*45\/(-3))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 18*p**2 + 8*p. Let g be n(8). Is g\/6 - 1\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by -1555097.\nAnswer: 83\/1555097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111179956?\nAnswer: 2, 27794989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/3)\/(8\/78) and -11\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 7*h - 10*h = -89824. Calculate the remainder when h is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 615 * -377.\nAnswer: -231855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 306.8116 weeks?\nAnswer: 185559655680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -2*q**3\/3 + 11*q**2\/2 - 3*q. Let w be 38\/(-4) - (-2)\/4. Is f(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k = 2*q - 17, -5*q - 2*k + 32 = 0. Suppose p + 5 = 3, -71 = -5*s - 2*p. Let x be 1*q\/(-2) + s. Do 11 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.2+0.5761347\nAnswer: 19.7761347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -216, -1, -0.1, -2, -4, -2\/27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1619, -3189, -4651, -6005, -7251?\nAnswer: -8389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 866*a - 864*a + 6*h - 188, 0 = 10*a + 3*h - 130 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12492 smaller than 12491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-195) + 3 + (-201)\/78. Let i(m) be the second derivative of 8*m - 2\/3*m**4 + 0 + 0*m**2 + z*m**3 - 3\/20*m**5. Find b, given that i(b) = 0.\nAnswer: -3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95604390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8112 + -1.1112. Let z = -1571\/57 - -83\/3. What is the second biggest value in 1\/7, 2, r, z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-180)\/96*4\/6)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 214894 and 556.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5 = 3*o - 15, 3*o + u = 22. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4799553.\nAnswer: 3, 11, 145441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 36 = 7*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 447*w + 2 - 189*w + 698*w - 2.\nAnswer: 956*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-208)\/91)\/16)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003961834 to six dps.\nAnswer: -0.000396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 1896885 - 624\/48. What is s rounded to the nearest 10000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 12 + 21 + 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -18 (b) 46 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -4, -0.1, -5, -10\/163, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -49277 take away 1488887.8272?\nAnswer: -1538164.8272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4, 4*u + 5*k - k = 28. Suppose -5*n = -4*c + 2*c - 32, 6*n + 4*c - 32 = 0. Calculate the highest common divisor of u and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -31250*f**4\/7 - 6000*f**3 - 501*f**2\/7 - 2*f\/7 + 275. Factor d(j).\nAnswer: -2*(j + 1)*(250*j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1837307 and -3.\nAnswer: 1837304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -337*v + 281*v. Sort -4180, v, 3 in ascending order.\nAnswer: -4180, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4.4. Let u = -7.6 - 0.4. Let r = 13 + u. Which is the third smallest value? (a) h (b) r (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4352 = -o - 3. Let t = -34835\/8 + o. Find the common denominator of t and -41\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0426612458 to three decimal places.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 28 = -5*x, 2*p - 28 = 6*p - 3*x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8478 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -0.3. Let p = -11 - -16. Let w = -18.7 + 14.7. Which is the closest to u? (a) p (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 10*g**2 - g + 11. Give r(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/105 (b) 3\/4 (c) -2 (d) -99 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**2 - 6*r**2 - 3*r**2 + 2*r**2 + 2*r**2 - 2*r**2 + (3*r - 7*r + 2*r)*(r + 6*r - 5*r) + 3*r**2 + 2*r**2 - 4*r**2 - 41*r**2 - 39*r**2 + 22*r**2.\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -n - 0*n + 4*t, 10 = -2*n - 2*t. Let r be 4\/4 - (n\/(-1) + 1). Suppose -35*b + 34*b + 51 = r. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 489 + -40. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 2*n - 55. Let r be y(0). Let q = r + 83. What is the tens digit of 7\/(q\/(-16)) - -126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*c + 137*c - 24*c**3 - 69*c + 26*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 5. Let s be o(4). Suppose -2*g - 4*d + 11 + 7 = 0, -5*g + 2*d = -57. Let p = g - s. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1. Let w = -194.7 - 50.1. Let z = 245 + w. Which is the nearest to p? (a) z (b) 8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-17)*k\/((k\/(k\/((k\/(k**15\/k*k))\/k))*k*k*k)\/k))\/(k**7)**(-2\/3) assuming k is positive.\nAnswer: k**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6497 + f - 6497.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*a - 119, k - 3*k - 3*a = -66. Calculate the remainder when k is divided by (-8 + (0 - -1))*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**2 + 60*m**2 + 85*m**2)*(0 + m - 1 + 0).\nAnswer: 152*m**3 - 152*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51324164 and 267?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2.31 (b) 15 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**6\/120 + x**5\/12 + x**4\/8 + 25*x**2. Calculate s(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 8*d**7\/7 + 5*d**6\/6 + 2*d**3 + 17*d**2\/2 - 50. What is the third derivative of i(r) wrt r?\nAnswer: 960*r**3 + 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6428 + 3726 - 14436 = -82*a. What is the remainder when a is divided by 94?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -20*r**4 + 45*r**3 + 5*r**2 - 30*r = 0.\nAnswer: -3\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a second in milliseconds?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {a: 4, s: 1, m: 1, x: 9}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 101111000000100100 (base 2) to base 14\nAnswer: 50256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c + 153 + 339 = -183 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1238691 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*y + 3350 - 512 = -76*y + 50*y for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55\/38 or 2\/5?\nAnswer: 55\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131613775.\nAnswer: 5, 857, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*r - 29*r - 72*r + (3 + 2 - 6)*(2*r + 0*r + 0*r) + 0 + 0 - r + 3*r + r - 3*r.\nAnswer: -131*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 87?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 53426990 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 505*n**2 - 504*n.\nAnswer: -n*(n - 504)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 222 + 90. Suppose -1223 - 6496 = 41*g + 52*g. Let r = g - v. Let s(x) = -x + 1. What is s(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Let q(s) = 27*s. Let u(z) = 3*z**2 + 17. Let g be 4\/(-14) + 363\/21. Let c(x) = -x**2 - 6. Let n(r) = g*c(r) + 6*u(r). What is n(q(p))?\nAnswer: 729*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 15*g**2 + 28*g + 198. Determine s(-11).\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-10)\/135 - (-123)\/(-18)*(-20)\/(-180)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4699 + -1.470186016. Round r to 6 decimal places.\nAnswer: -0.000286","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-82 - (-3 + (-1)\/(-1))). Let v = 91 + z. Suppose 266 + v = 9*p. Calculate the remainder when 122 is divided by p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k - 16*k + 5*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 725.5 + -726. What is the biggest value in y, 1, -7, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4\/2 - 13860*d**3 - 194243663*d**2\/2 - 14817731082*d - 14720623110 = 0.\nAnswer: -13782, -155, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1129 - -1127. Which is the second biggest value? (a) 1\/3 (b) 0.12 (c) -0.12 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 532*h - 264*h - 250*h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 2 = 5*x, -315 = -2*x - 3*q - 331 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + (-70 - -70)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9416865 divided by 5.\nAnswer: 1883373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9*v**2 - 12*v**4 - 5*v**4 + 4*v**2 + 7. Let g(i) = -9*i**4 - 3*i**2 + 4. Let p(w) = 7*g(w) - 4*h(w). What is the third derivative of p(l) wrt l?\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987 > 1989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (699\/466)\/(((-6)\/(-8))\/((-8079)\/(-2)))?\nAnswer: 3, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2180*f**2 + 23 + 2182*f**2 - f - 3*f**3 + 16 + 2*f**3 to q*f + z*f**3 + l*f**2 + d and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 1495677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1226\/3 + -401. Is 9 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -7*n + 3*k + 5536, 3*n - k - 4157 = 0. Calculate the greatest common factor of n and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1330*j**3 - 139*j**3 - j**3.\nAnswer: 1190*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 9*b**2 - 8*b - 18. Let s be z(10). Let v(w) = 1865*w**s - 1 + 1 - 1835*w**2. Let m(n) = -2*n**2. Give v(m(k)).\nAnswer: 120*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -914.61 * -2\nAnswer: 1829.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 259*v - 50. Determine z(3).\nAnswer: 727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prrd when four letters picked without replacement from prrrdhprhh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 212714.6 centuries?\nAnswer: 2127146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 12 = -0, 3*m = -2*v + 8. Suppose -5*d + 9 = 24. Let q(i) = i**3 - 2*i**2 + 4*i - 16. Let f be q(3). Put v, d, f in ascending order.\nAnswer: d, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqehehqh. Give prob of picking 2 q and 2 e.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*w - 15 = -z, 4*w = 16. Solve -12 = -z*c + c - 4*a, -4*c + 4*a = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a**3 + 4*a**2 + 5*a + 5. Let u be s(-2). Suppose 0 = 10*n - 11*n + u. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from wzzwbzz.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 3648 = 34*d. Suppose -d*l + 7 = -145*l. Sort l, -3, 3, -1 in descending order.\nAnswer: 3, l, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -44, -143, -306, -533, -824, -1179?\n\"Answer: -32*m**2 - 3*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -8*v**3\/3 + 318*v**2 + 320*v + 3051. Factor u(d).\nAnswer: -4*(d - 80)*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 12. Let p be (-2630)\/80 - 1\/8. What is the least common multiple of (90\/c)\/(p\/44) and 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*g**4 - 5 - 12*g**2 + 24*g**3 + 5.\nAnswer: -3*g**2*(g - 2)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z + 1. Let n be g(2). Let o = 10 + n. Let j(a) = 7 - 7 - o*a**2 + a**2. Let m(y) = -5*y. Calculate j(m(b)).\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 90 and 172433.\nAnswer: 172523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**6\/6 + 4*t**5\/3 + 3*t**4\/4 - 158*t**3\/9 + 34*t**2 - 24*t + 1359. Let y(k) = 0. Calculate k.\nAnswer: -3, 2\/3, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-351)*(-1)\/(3\/3).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270607819, 270607818, 270607817?\nAnswer: 270607816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1685197 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: Express (0*m - 2*m + 5*m)*(-7 + 1 + 2)*(-2*m - m + 2*m) as v*m**2 + k + f*m and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11607 divided by -3?\nAnswer: -3869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 - 114.12. Let l = 1.9 - q. What is l rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000060582 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 25*v**2 + 12*v - 241. Calculate the remainder when s(-23) is divided by 51.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13639 is divided by 13633.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 7) in base 3?\nAnswer: 110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*o**3 + 6*o**2 - 6*o**2.\nAnswer: 160*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 136.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1370 and 2753015.\nAnswer: 5506030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5*w**(-1\/9))\/(w**(2\/5))**(-2)*(w**(-1\/3)*w)**(-45)\/(w*w*w*w\/(w*w**(-6\/7))*w*w**(1\/3)) assuming w is positive.\nAnswer: w**(-9293\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-704)\/58 + 12)\/2 + 0.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 - 4 - 8 + 0*j**3 + 2*j**3 - 37*j**2.\nAnswer: -3*j**3 - 37*j**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 301*z + 293. Determine i(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*p = -6, 5*c - c - 2*p = 8. Let a = -278523 + 10027709\/36. Let b = a + -97\/4. Is c <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*r + 488*r - 119*r - 1 - 120*r - 128*r.\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/44*-1*4\/(-4)*-1.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**3 + 69363*q**2 - q - 569256.\nAnswer: -6*q**2 + 138726*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 16 = -4*t, 5*b + 2*t - 30 = 40. Solve -4*v = h - b, h - 6 = -2*v + 6*h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2401896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 3*s + 3. Let i(h) = h - 16. Let j(o) = -o**3 + 8*o**2 + 10*o - 9. Let n be j(9). Let u be i(n). Let t be (1\/(-2))\/(4\/u). Determine r(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -8*s + 8. Give k(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4904 - -4987. Which is the closest to 2\/7? (a) -4\/7 (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*a**2 - 19*a**2 - 16*a**2 - 29*a**2 - 17*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.038 (b) 1\/4 (c) -0.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(28)\/sqrt(4)) + -2)**2 - (sqrt(15)\/(sqrt(320)*-2))**2.\nAnswer: -4*sqrt(3) + 1789\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f*k*w*x - 73*f*k*w - f*k + 3*f - k*w*x - 127616*k - 5755533*w*x + w wrt x.\nAnswer: 2*f*k*w - k*w - 5755533*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -b + 218, -2*b + 5*u = -0*b - 437. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + 2 + sqrt(117) + sqrt(117))**2.\nAnswer: 84*sqrt(13) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - 11*k + 8*k)*(4 + 0 - 2)*(266 + 3*k - 266).\nAnswer: -42*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.028 - -0.438. Let k = 0.01 - y. Which is smaller: -1\/2 or k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 183*g - 8. Let l = 169 + -168. What are the prime factors of u(l)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87 or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10474?\nAnswer: 2, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 115804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.6469905 to 1 dp.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417, -1046, -1847, -2820, -3965, -5282, -6771?\nAnswer: -8432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 3445.8.\nAnswer: -3446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (1517793 - 3) + 2185\/95 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 2\/5, 3\/8, -3\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -19. Solve r*v = -h + 17, 0 = -4*h - v - 4*v + 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -179208 or -458?\nAnswer: -458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*y - 9 = 0. Suppose 0 = -2*q - 0*n + 4*n + 12, y*n = 6. What is the least common multiple of q and 37?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -61*q**3 - 2*q**2 - 10*q + 23. Let f(i) = -21*i**3 - i**2 - 3*i + 8. Let k(m) = 8*f(m) - 3*o(m). What is the remainder when 67 is divided by k(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**2 - 4*h**2 + 10*h**2 + 0*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19741 - 6501 = 223*g + 1341*g + 91*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 9 = 15. Let d(r) = -r**2 - 9*r - 2. Calculate the common denominator of ((-25)\/4 - -1)*-1 and d(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/7 (b) -1 (c) -67 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2587080 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 247 = -4*f, -f - 66 = -2*f - 3*m. Let p be 14\/f + 58\/(-18). What is the nearest to 2 in p, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**3 - 2*n**2 - 2. Let h be g(2). Let t = h - 19. What is the remainder when 5 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -10. Let f = -35\/3 - w. Which is bigger: f or 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g**3 + g**2 + g + 1. Let y(m) = -34*m**3 - 3*m**2 + 10*m + 23. Let l(f) = -6*o(f) + y(f). Let q(v) = v**3 + 2*v**2 - v - 4. Give 2*l(a) + 9*q(a).\nAnswer: a**3 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44659 is divided by 8887?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) 111 (c) 1 (d) 4 (e) 3\/2 (f) 0.2 (g) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(720)*-3) + (-1 + sqrt(242) + (sqrt(242) + 2 - sqrt(242)))**2.\nAnswer: 791*sqrt(2)\/36 + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 10*s + 593624 = 5408143. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -195 + 202.9. Let l = i + 3.1. What is the second smallest value in -2, l, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5 + 980*n**4 + 5832*n**3 + 11636*n**2 + 9686*n + 2904.\nAnswer: 2*(n + 1)**3*(n + 3)*(n + 484)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(833) + (sqrt(833) - (sqrt(833) + (sqrt(833) - (sqrt(833) - (-1 + sqrt(833) + -1 - sqrt(833)))))**2) + (-2*(sqrt(833) + 1) - sqrt(833)*2*3).\nAnswer: -838 - 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 70, 90, 130, 196, 294?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 2*q + 14 - 7, 5*v = q - 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 3*l - 9 + 3, -2*l - 2 = -4*b. Let v = b + -1\/3. What is the third biggest value in v, 4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 8. Let l = g + -6. Suppose -l*i + i + 14 = 0. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2336 = t - 5*t. Suppose -t - 256 = -4*c. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3925488.\nAnswer: 2, 3, 7, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14060877.\nAnswer: 3, 1997, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16561, -32028, -46399, -59674, -71853, -82936, -92923?\nAnswer: -101814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*b**2*k**2 - 3*b**2*k - 993*b**2 + k**2 with respect to k.\nAnswer: -28*b**2*k - 3*b**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -116097341.\nAnswer: -116097344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2229 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 91587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -624, -1264, -1908, -2568, -3256, -3984, -4764, -5608?\nAnswer: -6528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/22)\/(3\/8) + (27 - 24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) -0.3 (c) -2.447905 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -29*n + 35*n. Let a be ((-152)\/(-714))\/n + 24\/(-204). Find z such that 8\/21*z - 8\/21 + 2\/21*z**2 - a*z**3 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3609 divide 127312908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2. Let w(z) be the third derivative of 4*z**5\/15 - 7*z**3 - 5*z**2. Let y(a) = -8*u(a) + w(a). Find the first derivative of y(k) wrt k.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwz when three letters picked without replacement from {u: 2, z: 2, a: 1, w: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*a + 229 = 94*a - 10*z, -3*z = a + 68 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, -5045, 25.\nAnswer: -5045, 4, 12, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -3 - -20 - -55) + (10 - 6) + -16.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*t = -204*t - 649 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t - 8*t**3 + 3*t + 16534 - 16537 in the form s*t + k*t**2 + w + i*t**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -72*f + 16. Let n(b) = -24*b + 5. Let d(u) = -7*n(u) + 2*x(u). What is the remainder when d(7) is divided by 502\/8 - (-33051)\/(-5748)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82800, -116, 2 in descending order.\nAnswer: 2, -116, -82800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 67714022989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/141400 and 103\/26058.\nAnswer: 18240600","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 52509 = -11*f + 20*f. What are the prime factors of f?\nAnswer: 3, 23, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 6)*(8*g**5 + 12 - 12) + (2*g**4 + 0*g**4 - 3*g**4)*(-15*g - 35 + 35).\nAnswer: 63*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 95, 86, 63, 20, -49?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 1126636923*s**2 + 348822*s + 27 = 0.\nAnswer: -3\/19379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5173 + 556 = -337*w for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67168774853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o**2 - o)*(1 - 3 + 4) - o + o + 4*o**2 - 49*o**2 + 141*o**2 - 39*o**2.\nAnswer: 55*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5077 or -2402.1?\nAnswer: -2402.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.5 + -0.5. Sort 4, s, 0 in increasing order.\nAnswer: 0, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2164 (b) 49 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51590 is divided by 3023.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12504433 + -50?\nAnswer: 12504343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 + -70. Let y be -4*(n\/(1 - 3) + -2). Solve y + 4 = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {a: 2, m: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 19. Let f = a - -19. Solve 3 = f*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*y + 4*o - 17, y + 1 = -3*o. Let a = 22 + -22. Sort y, a, -3 in ascending order.\nAnswer: -3, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111505829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - h**2 + 3*h. Let i(w) = 2*w**3 - 5*w. Let z(f) = -3*i(f) - 5*l(f). Factor z(s).\nAnswer: -s**2*(s - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2979103, 3, -5 in descending order.\nAnswer: 4, 3, -5, -2979103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 16 - 7. Let w be q\/(4 - (-44)\/(-8)). Suppose -3*d = -12 - 3, -2*d + 40 = w*p. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + 336)*5\/(-80)*-4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*v - 11*v - 8. Suppose -9 = -b - v*b. Suppose d = -4, -j = j + b*d + 20. Let y(r) = -r + 1. Let z(p) = 5*p - 6. Calculate j*y(n) - z(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1228, -9780, -32994, -78202, -152736?\nAnswer: -263928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6400 is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37044 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1095384 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f. Suppose 0 = -3*h + 4*h - 3. Let n(u) = 7*u + 5*u - h*u - 2*u. Calculate n(r(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*n - 19 = 33, 2*t - 56 = -4*n. Suppose -364 = -t*y + 7*y. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/861 and -7\/49282.\nAnswer: 1034922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/8 of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118*k**6*w**3 - 44*k**2 - k*w**3 wrt k.\nAnswer: 14160*k**3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(-23)*f*f)*f*f**25*f*f*(f\/(f*f\/((f\/(f**(-22)\/f))\/f)))\/f*f**(-1\/2))**49 assuming f is positive.\nAnswer: f**(6909\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39324 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23930, 47855, 71778, 95699, 119618, 143535?\nAnswer: 167450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -6 (b) 0 (c) -549\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11166, 11129, 11094, 11061, 11030, 11001, 10974?\nAnswer: 10949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51082?\nAnswer: 2, 25541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -1\/2*l**4 + 2*l + 7\/2*l**2 + 0 + l**3 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5457*f + 212812. What is w(-39)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 2*f + 332. Calculate i(-10).\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 - 71. Solve 0 = -5*z - x + 37 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (-99)\/(-45)) + (-13)\/(-15). What is the second biggest value in -0.1, q, -0.005?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7983 times -113\nAnswer: 902079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 37*a**2 - 39492*a - 1019354. Determine r(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 48 - (20\/(-8) + 2\/4). Calculate the highest common divisor of 450 and x.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107*k - 389 - 467 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*x - 210*x - 56*x**2 + 114*x**2 - 256*x.\nAnswer: 58*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -406 - -410. Let i be 2\/2 + 3 + 6. What is the highest common factor of p and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p - 16. Let z(a) = a - 1. Let j(f) = k(f) - 8*z(f). Let v be j(-6). Let m = -4 + v. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 7:24 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-2))\/(-2 + 1). Suppose -4*o - 14 = 5*p - r*p, -4*o + 16 = 0. Let q(a) = a**2 + 5*a + 6. Does 12 divide q(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*k, -7*k + 3*k - l + 6 = 0. Let b be 5 + (-2 - -2 - 1). Solve -k = -s + 2*p, b*s + s = -p - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1355 and 72357?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*m - 69 = -46*m. Put m, 2\/11, -5\/76 in descending order.\nAnswer: 2\/11, -5\/76, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*6*(sqrt(170) - sqrt(170)*-2)*2)\/(4*((sqrt(810) - (sqrt(810) + (sqrt(810) - (sqrt(810) + sqrt(810)*1 + sqrt(810))*-4))) + sqrt(810))).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-24))\/((60\/(-8))\/5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12963 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*t = -1562, -g = -2*g - 2*t + 389. What is the remainder when g is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/3 - 15*a**3 - 641*a**2\/3 + 471*a - 728\/3.\nAnswer: (a - 56)*(a - 1)**2*(a + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2792 <= -2792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 180866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13505.\nAnswer: 5, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 645491653 a multiple of 1268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**3 + 9*k**2 + 6*k + 9. Let j(o) = -7*o - 9. Let t be j(-3). Let z be f(t). Suppose 4*a + 5*a - z = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5)*545\/981)\/((-1)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*8\/60 - (-66)\/(-20).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12200 - -14736. Calculate the smallest common multiple of 14 and c.\nAnswer: 17752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 216954390, 216954388, 216954386, 216954384, 216954382, 216954380?\n\"Answer: -2*r + 216954392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(2)*-2*-5 - (5 + sqrt(2) + -1)) + ((-2*sqrt(48))\/sqrt(3))\/(sqrt(648) - sqrt(648)*2 - sqrt(648)))**2.\nAnswer: -164*sqrt(2)\/9 + 13529\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -109357*l - 2405891. What is p(-22)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -3\/742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -440600, -440638, -440676, -440714, -440752, -440790?\n\"Answer: -38*r - 440562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49927 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 + 4*q + 25. Determine c(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-89)\/(-28836)*-297)\/((-2)\/(0 - -8))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49\/6 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y**2 - 74059204989 + 74059204989 + 14*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 6. Suppose 0 = 5*c - 3*k - d, -3*c - 4*k = -43 + 12. What is the second derivative of -14*v + 32*v + 4*v**3 + 16*v**3 + c*v**3 wrt v?\nAnswer: 150*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= -10351.98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4988 + 15396?\nAnswer: 20384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 + 51*g + 6. Let b be h(9). Let t = -1051 + b. Is t != -342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -258450\/197 or -1312?\nAnswer: -258450\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.5, -17324, -0.1, 6, 0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**2\/2 + 4*u + 5. What is x(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.7 and -5?\nAnswer: 73.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -9293*h - 195059. What is t(-21)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 55. Let m = -32 + v. Suppose 2*r - 8 = 3*h - 5*h, 0 = -2*r - h + 7. Which is the third biggest value? (a) -3 (b) r (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 15 = 6*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44602 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - -4136?\nAnswer: 411b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1462561 - 76?\nAnswer: -1462657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -1 - 111) + (-1 - 16 - (35 - 64))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 205 = -303. What is the remainder when -32*((-15)\/6 + 0) is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 - 65*u**2 - 770*u - 23644. Give t(-32).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 442\/(-17) - (134 - 133)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 5*a + 10, 3*d + 99982 = 2*a + 100003 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -76*f**3\/3 + 167*f**2\/2 + 861. Find the second derivative of p(l) wrt l.\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -1373674?\nAnswer: 1373676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -3. Let i be 217\/(-62)*((-228)\/(-95))\/(84\/40). Sort i, g, 5\/4 in increasing order.\nAnswer: i, g, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17594269 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*i**5 - 1410*i**4 + 364*i**3 + 7176*i**2 - 1920*i + 128 = 0. What is i?\nAnswer: -2, 2\/15, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113964 by 6.\nAnswer: -18994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-456)\/228*(40\/(-25))\/8.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1185*a**2 + 2*a - 181457 wrt a.\nAnswer: -2370*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - 13 + 13)*(-2*g**2 + 4*g - 4*g) + (29*g + 4*g - 8*g)*(0*g**2 - 3*g**2 + 0*g**2).\nAnswer: -87*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -903 + 903.2. Which is the smallest value? (a) -2\/7 (b) -2\/67 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 11) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17cb (base 14) in base 12?\nAnswer: -259b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Let i = o - 6. Let f = 5.4 + -5. Which is the third biggest value? (a) 1\/5 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12805 - -22489. Is 36 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 13. Let u be r(17). Let a = 57 + u. Is a a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 17, -3, 5 in descending order.\nAnswer: 17, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 6:57 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 3\/(6 + -3). Let b(f) = 17 - 23 - 1 - f**r. Calculate b(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1012263, -2024524, -3036785, -4049046, -5061307?\nAnswer: -6073568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 393, 1441, 2487, 3531, 4573, 5613, 6651?\nAnswer: 7687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 987884495?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*l - 5*i + 1721, 0 = 3*i + 21. Calculate the lowest common multiple of l and 432.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 1:39 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.96? (a) 1.6 (b) 0.3 (c) 1\/2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/304)\/((-1)\/(-2))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -37*p**2. Let f(n) = 173*n. Give f(l(q)).\nAnswer: -6401*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - p + (-1 + 1 + 2*p)*(-3 + 1 + 3) + 4*p - p - 5*p + 3*p - 4*p - 2*p)*(61 - 61 - 23*p).\nAnswer: 92*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 16) in base 3?\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17527763 is divided by 1618?\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**3\/3 + 5*j - 2. Let u(c) be the first derivative of t(c). What is u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35932 + 27018 = 10*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/9 + 4\/18. Let a(s) = -s + c*s + 13*s**3 - s**3 + s**2. Let z = -530 - -531. Calculate a(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 56\/6)*3. Let j(y) = 3*y**2 + 3*y - 3. Let t be j(-4). Let n = t - w. Solve -1 + 17 = 2*s + n*b, 4*b = 4*s - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10921 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -15) + 1 + -6 + 7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 3*f = -2, 5*f = 3*y - 4 + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.378 in 1\/22, 3\/2, -11, -2\/15, 1\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -17) + -36 - 12 - (6 - (16 + 6))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31523601 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5784 > 5633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 7) to base 6.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**3 + 161*p**4 + 2*p - 163*p**4 - p**2 + 22 + 4*p**2 to the form g*p**2 + t*p + i + m*p**3 + d*p**4 and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 878 divided by 4\nAnswer: 439\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 505 - 3?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*h - 36, 2*v + 14 - 86 = -3*h. Calculate the least common multiple of v and 2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -2. Let u = o + 3.0000005. What is u rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 2. Suppose 7 = k + 1. Let o(x) = x + 2*x + 2 - 2*x - 3*x. Determine k*o(n) - 5*l(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/1373 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6 = 3*g - 11, -g = -3. Let q be (3 - 2)\/(c\/(-4)). Let f be ((-8)\/(-66))\/((-864)\/(-324)). Which is bigger: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 54*x**3 - 3*x**3 + 1 to o*x + q + m*x**3 + a*x**2 and give m.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**4*h))*h*h**(-3\/4)*h)\/h**16*(h**40)**(2\/105) assuming h is positive.\nAnswer: h**(-755\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - x = -9, -5*f + 25 = 7*x - 2*x. Let n be 1\/(f + 0) - 2. Let r = -16 - -46\/3. Does n = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 122*h**2 - 490*h - 10. Give v(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 3:02 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 56 (b) 2\/11 (c) -0.1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p - 4 = 0, -3*a + 3 = 3*p. Let q be a\/(-5) + 162\/(-30). Let f(y) = -y**2 - 8*y + 3. Give f(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -13 + 8 - -59*1. Calculate the highest common divisor of j and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 3:40 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*i - 42, -2*q + 3 = 6*i - i. Let s(f) = 110*f - 28490. Let v be s(259). Solve -3*c + 5*z + 2 - q = v, 20 = -4*c - 4*z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3\/59 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 13*i. Let y(h) = -122550*h**2. Give r(y(p)).\nAnswer: -1593150*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86841 - -170115. List the prime factors of x.\nAnswer: 2, 3, 13879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2795491, -5591118, -8386745, -11182372, -13977999, -16773626?\nAnswer: -19569253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**2*r**2 - 1014791*p**2*r + 50368*r**2 wrt r?\nAnswer: 6*p**2 + 100736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 4*v + 376 - 416 = 0, 0 = -d - 3*v - 26 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7352654*u - 4465868 wrt u.\nAnswer: 7352654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 11, -0.1, 2\/3, 29\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 6, -2, 3 in increasing order.\nAnswer: -2, 1, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.2 - -16.19. Let r = -0.01 - x. What is the third smallest value in r, -0.4, -3\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1559226?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 f when three letters picked without replacement from cfddfffqqc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008194908 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + 7\/((-14)\/(-218)). Let x = 105 - i. Let v = -1 - -1. Solve 3*b + z - 14 = v, -7 = 3*b - 4*b + x*z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -43, -122, -245, -418?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 20545*d + 4273376. Give k(-208).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwxldwxwllldl. Give prob of sequence wd.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 0 = 6*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -90) + -100 - -13.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 7*p - 2. Suppose 2*n - 169 = x, -2 - 7 = -3*x. Suppose 0 = c + n - 89. Let a(z) = 2*z**2 - 7*z - 2. Give c*a(t) - 4*f(t).\nAnswer: -2*t**2 + 7*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-25)\/(-65)*(-6)\/(-30) - (-2885)\/13 and 126.\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 207258 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4103*p - 4112*p + 3*h = 9, 5*p + 7*h - 3*h = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36820*h**6 - h**5 + h**4 - 3*h**2 + 27*h - 412.\nAnswer: 4418400*h**3 - 60*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 35493228.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.5 + 10.1. Let q = f - -8.433. Let h = q + -5.033. Sort -2\/13, h, 1.\nAnswer: h, -2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 3. Suppose 4 = -3*x - v*f + f, f + 8 = 3*x. Sort x, 7, -1\/4.\nAnswer: -1\/4, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from {o: 1, a: 1, u: 1, f: 1, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 divided by 7416?\nAnswer: 139\/2472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/42)\/(2*(-2)\/12)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46079?\nAnswer: 11, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 186263 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-30)*(-6)\/(12\/5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -15*l**2\/2 + 18*l + 171. Let g = -13 + 9. What is the units digit of h(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.3 - 3.7. What is the second biggest value in c, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46659.999935 + -46659. Let f = -68 - -69. Let t = f - s. Round t to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43160 is divided by 21571.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a decade in months?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -717*t - 522716 = -734*t. List the prime factors of t.\nAnswer: 2, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 18, y: 2}. What is prob of picking 1 y and 1 w?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 l when three letters picked without replacement from lbbhlh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20801 = 161*m + 331*m + 137*m - 1302 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -3, 2477, -4 in increasing order.\nAnswer: -4, -3, 50, 2477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1021521.7 + 1021522.9559441. Let t = b - 1.256. Round t to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111001100100000111001 (base 2) in base 8?\nAnswer: 37144071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -13360*r**2. Let d(o) = -33*o. Determine d(j(y)).\nAnswer: 440880*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4088*o**2 + 2063*o**2 + 2044*o**2 + 1 + 16*o.\nAnswer: 19*o**2 + 16*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.645 + -6.238. Let b = c - -0.183. Round b to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 6:13 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/3*-5*1. Suppose -2*o = 2*z - 4*z + 502, -y*o - 1231 = z. Let v = o + 434. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (29 - 31) + (-193)\/(-1). Are t and 962\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.021 + -11.021. Let r = m - -45. Let a = r + -55. Is a not equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*p - 4*x, -4*x = -p - 2*x. Let w be ((-15)\/2)\/(6\/p). Let j = -11 + w. Which is smaller: j or 0.15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -17. Suppose 2*d - 3*j - 78 = -j, -125 = -3*d + m*j. Suppose -34*y = -d*y + 7. Let n(z) = z. Give n(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3220*z + 3213*z + g + 22, -8 = z + 11*g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -358\/9. Let r = 170 - 240. Let g be (-24)\/r + -5 + (-168)\/(-35). What is the third biggest value in g, x, 2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5300, -5846, -6392, -6938, -7484, -8030?\n\"Answer: -546*r - 4754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.8 - -13.8. Put f, -0.5, -4 in descending order.\nAnswer: -0.5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6764)\/178*(-2)\/76?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i + 2909 = 3897 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 0 + 0)*(-252 - 12025 - 14380) to the form p*r + q and give p.\nAnswer: 26657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 319773030 a multiple of 2751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 4*z - 14, 4*t + z + 3 = 6. Solve -t*h - 6 = 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/2*(-3)\/((-60)\/25)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-4*d + 4*d + 4*d)*(-5*d**3 - 5*d**2 + 5*d**2).\nAnswer: 40*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 803 - 778. Solve 4*t + 12 = -4*l, 5*l - c = 7*t - 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -35646257?\nAnswer: -35646257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/6 and -131\/24684?\nAnswer: 24684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6976 and 64623920.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3226861537 to the power of 1\/2, to the nearest integer?\nAnswer: 56805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2564247 and 483.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 1, f: 2, o: 2, a: 1}. Give prob of picking 2 f and 1 a.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/17)*o*o**(-2)*(((o*o**(1\/6)*o)\/o)\/o)\/o**(-6))\/(((o*(o**3\/o)\/o)\/o)\/((o\/o**6)\/o))**35 assuming o is positive.\nAnswer: o**(-24475\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 0*w**3 + 4*w + 4*w**2 - 9*w**2 + w**3. Let f be p(4). Suppose -2*c + f*c + 30 = 0. What is the greatest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*((-7)\/(-35))\/(6\/(-10)). Solve 3*j - 4*j = w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3638, 7810, 11982, 16154?\n\"Answer: 4172*m - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 7*s - 9*s - 26, -1394*s = -2*r - 1389*s + 74 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12455.\nAnswer: 5, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d = 3. Let j be 3\/(((-84)\/(-16))\/(-7)). Let q be (j + d)\/((-3)\/2). Solve -3*w = q*m - 19, -m + 0*w = 3*w - 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -f + 7, -4*f + 4*b + 48 - 28 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -373930.17 and 5389.523.\nAnswer: -368540.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - u - 4*u**2 + 0*u**2 + 0*u**2 - u**2 + (-5*u + 0*u + 3*u)*(-7*u + 3*u + 5*u).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216354?\nAnswer: 2, 3, 107, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34, 82, 142, 214, 298, 394?\n\"Answer: 6*r**2 + 30*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543831.2ml to litres.\nAnswer: 543.8312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328, 312, 298, 286, 276, 268, 262?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-603)\/24 - 2\/(-16). Let b = f + 60. Let l = 33 - b. Let z(c) = -c**2 - 3*c - 1. What is z(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 32 - 10 - 12)*(-17*l - 15*l + 4*l).\nAnswer: -224*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*f + 40 = 95*f. Let s(m) = -12*m - 6. Let c(v) = 13*v + 5. Calculate f*s(i) + 6*c(i).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.3 + 3. Let r = 0.5 + -0.5. Suppose 4*o - 3*o - 2 = 0. Which is the nearest to r? (a) t (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*f**4 - 1474*f**2 - 4036*f + 527639950.\nAnswer: 36*f**3 - 2948*f - 4036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, j: 3, l: 3, k: 10}. What is prob of picking 1 k and 1 a?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2261)\/152)\/(-119))\/(6\/56)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 10*k - 1. Suppose -22 + 92 = 5*u. Let s = u - 13. What is z(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3286413 is divided by 2471?\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 - 326 = 4*h. Let w = -39 - h. Let i = -13 + w. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 + 295 = -57*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -19. Let u(d) = -10*d**2 - 25*d - 15. Let x(i) = i**4 + i**3 + 9*i**2 + 25*i + 16. Let c = 4 + 1. Let z(o) = c*x(o) + m*u(o). Factor z(r).\nAnswer: 5*(r - 2)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**5\/12 - 35*l**4\/24 - 5*l**3 + 82*l**2. Factor q(y).\nAnswer: -5*(y + 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -295\/2363 - -1\/139. Let h = 137.2 - 134.2. Which is the smallest value? (a) j (b) 34 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -10*p - 12. Let d = 4 + -6. Let x = -2.3 - d. What is the smallest value in -5, x, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.91 take away 0.3305?\nAnswer: 9.5795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 46*a - 459. What is p(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60327146.\nAnswer: 2, 11, 59, 46477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 2 = -r - 5, 19*r + 26*r = -5*d + 95 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d4e (base 15) to base 7.\nAnswer: 66050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1085*m + 1075*m - 20 = 0. Which is the third smallest value? (a) 7\/31 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 - 63*j - 311. Let c(v) = -v**2 - 21*v - 103. Let g(m) = -7*c(m) + 2*k(m). Calculate the smallest common multiple of 205 and g(-7).\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 - 4*q + 2. Let f(m) = 6*m**2 + 20*m - 9. Determine -f(i) - 4*r(i).\nAnswer: 2*i**2 - 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35140618.9999985 - -35140602. Let b = f - -17. What is b rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -14*c**3 + 110*c**2 + 15*c + 8. Let k be i(8). What is the nearest to 78.7 in k, 2\/5, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 4*x - 2*x)*(2 - 2 + 2)*(-3 + 12 + 1)*(-4 + 1 - 3).\nAnswer: -240*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 37*h**2 + 309*h - 25. Is k(11) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7605.3*0.341.\nAnswer: -2593.4073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5925659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-seven thirds of a day?\nAnswer: 32160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-12)*21)\/(-11 + 12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 5:15 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, -2\/11, 2\/3, 16.7 in descending order.\nAnswer: 16.7, 2, 2\/3, -2\/11, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 h when three letters picked without replacement from {w: 5, h: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3251 - -11?\nAnswer: -3240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-9) - 32\/(-18). What is the second derivative of -14*r**3 + 16*r**3 + p*r + 0*r wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1221132 - 10?\nAnswer: -1221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5644012 (base 7) in base 8?\nAnswer: -2527250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-168)\/(-12))\/((-6)\/3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -1, 17 in increasing order.\nAnswer: -1, 0, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9856*d**2 - 1123*d**2 - 873*d**2 + 196*d**2.\nAnswer: -11656*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 2236*p**2 - 51360*p.\nAnswer: -4*p*(p - 535)*(p - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a - 6 = 0. Suppose 0 = 3*p - 5*p + a. Suppose -2*t + p*t = 3. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/(-4))\/(-5)*-1. Find the third derivative of -3*d**2 + 1 - q + 10*d**4 + 0 wrt d.\nAnswer: 240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 5 - 4 - 3)*(-2 + 3 - 2).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 3:38 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -57*(85\/(-15) + 3). Suppose -g = -29*v + 21*v. Let w(a) = -a**2 + 20*a - 19. Let b be w(v). Solve 0 = 5*h - b + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/6 - 3 - (-3)\/9. Suppose 4*y + m*y = 434. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 12*z**2 + 16*z - 29. Let h be p(-15). Suppose 7*g - 546 = h. Calculate the greatest common factor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 15, -5*v - 90 = -0*t + t. Let l = 5 - v. Suppose 6 + l = 5*m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 132.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (19 + -14)\/((-62)\/(-10) + -6) and 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 4. Let w(t) be the second derivative of -t**2\/2 + t. Let v(u) = -3*h(u) + 6*w(u). Suppose 6 = a - 0. Give v(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 0*k**2 + 9*k**2 - 2*k**2. Let z(l) = l**2 - 3. Let f(m) = 3*m**2 - 8. Let b(j) = 3*f(j) - 8*z(j). Determine w(b(p)).\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 5*t + 8 = 3*y, 0 = 4*y - 4*t - 8. Suppose 3*j - 15 = -2*j. Suppose j*d + 18 = 6*d. Calculate the greatest common divisor of y and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -2)*(30\/2)\/3. Suppose 0*b + h*b + 4*n = 110, 29 = 3*b - 5*n. Calculate the smallest common multiple of b and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17118856 + 4*x**3 + 9*x**2 - 17118856 + 2*x**2.\nAnswer: 4*x**3 + 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5817977\/92 - -63240. Let y = -57113\/10 - -5717. What is the common denominator of q and y?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801 a factor of 5291460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 45, -19, -141?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 + -2.2. Let h = 1 + x. Let g = h - 0.2. Put 4, g, 1\/5 in decreasing order.\nAnswer: 4, 1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -10*n - 156, -13351*m + 3*n + 56 = -13347*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33\/4 - 5 - (-3)\/4. Suppose q = 5*q - 64. Suppose -q*v + 15 = -11*v. Sort -2, j, -1, v in decreasing order.\nAnswer: j, v, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 599 and -0.2298.\nAnswer: 598.7702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/333, -5, -4\/7 in descending order.\nAnswer: -14\/333, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0 - 17*z + 18*z - 5. Let a = 10 + -4. What is t(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36018 - 499121\nAnswer: -535139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3763000 to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 83626 to the power of 1\/2, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-174)\/261 + (-778)\/(-12)*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -218 - -222. Solve -3*l - o = 15, -w*o - 6 - 6 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxl when three letters picked without replacement from vvxhhlehhe.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5523 divided by -22233\nAnswer: -1841\/7411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j - 6. Let x(z) = 17*z + 11. Let k(m) = -17*m - 11. Let r(h) = 3*k(h) + 4*x(h). Let y(l) = 6*r(l) + 11*u(l). Let o(n) = n**2. Give y(o(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 0, -144\/5, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 + 13\/(-2))\/(3\/(-4)). Which is the closest to 0.08? (a) 1\/2 (b) -5 (c) -1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303031230 (base 4) to base 13.\nAnswer: -74634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 243*i*m - i + 3*m**2 - 847 wrt m?\nAnswer: 243*i + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 546\/52)\/(135\/4)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 24 = 5*o, 3*f = -4*o + 7*o + 24. Let i(t) = 3*t - 8 - 7 + 0*t + 6. What is i(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 - -2?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4110)\/(-738) + -6 + (-3 - -11)\/24.\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.011 + -1.189. Let z = b + 6.2. What is the third smallest value in -2, -6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, l: 1, e: 1, a: 8, k: 1}. Give prob of picking 3 a and 1 k.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10548 is divided by 8486?\nAnswer: 2062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**0)\/((s**(-1\/2)*s)\/s)*(s\/(s*s**5*s*s*s))\/(s**(1\/3)\/s))\/((s\/s**(1\/2))**(-37))**30 assuming s is positive.\nAnswer: s**(3295\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 3*j + 2. Let i be u(-3). Suppose -8063*x = -8043*x. Solve x = i*g - 6, g + 10 = m + 6*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3610 - 3592. Solve 19*g - 5*q + 21 = a*g, 0 = 5*g - q - 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 2*g - 8, 0 = -5*z + 3*g - 3726779 + 3726783 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 + -28. Let w = -32 + 115. What is the remainder when w is divided by p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfa when three letters picked without replacement from {m: 6, s: 2, c: 2, a: 3, f: 3}.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11095 is divided by 111?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 276028617 take away -1163938?\nAnswer: 277192555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5877257767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2563863 nanometers to kilometers.\nAnswer: 0.0000000000002563863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 4. Let w be (-10)\/(-90) + 1\/o. Is w bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (9 - -2 - 0). Suppose -6*g + l*g = 10. What is the second derivative of 6*z**2 - g*z + 4*z**2 - 4*z**2 wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -714363 (base 11) to base 7.\nAnswer: -12520136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 4*u + 28 = 0, -71*q = -68*q - 3*u + 15 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28577 - 28517. Solve -v*k + 4*y = -65*k + 3, k + 5*y - 9 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3795139 is divided by 7530?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -511 and -28187.\nAnswer: 14403557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100001001101110100 - 1000110?\nAnswer: 10100001001100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47996 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*w = 59, 2*l - w = 3*l - 18. Let d = 71 + -8. Suppose b - d - 2 = -5*o, 5*b = 5*o - 35. What is the remainder when l is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**6\/150 + 124*q**5\/75 - 1496*q**4\/15 - 36992*q**3\/5 - 118*q**2 - 5*q. Factor c(p).\nAnswer: -4*(p - 68)**2*(p + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 6*g - 4. Let p be v(-4). Find the third derivative of 27*w**2 + 14*w**4 + 6 - 5 - 33*w**p wrt w.\nAnswer: -456*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 1:21 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2021054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxjojxjjjjjjxjj. Give prob of picking 1 j, 1 o, and 2 x.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*s**4 + 3*s - s**4 - 9*s wrt s?\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002384659 rounded to 6 decimal places?\nAnswer: 0.000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktkkkdlktkdkdkktkl. Give prob of sequence lk.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4179652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14256 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58.33 - -58. What is w rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**4\/2 - 148023645*i**3\/2 + 1217277724167504*i**2 - 6673550646274493996544*i - 6673551863552292175872 = 0. What is i?\nAnswer: -1, 16447072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + j**2 + j)*(-7*j**2 - 65*j - 67*j - 1 + 134*j) to c*j**2 + h*j + q + p*j**3 + k*j**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1012872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 168*r + 3*b + 652, 2*r = -b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(((-1512)\/6)\/6)*-3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - i**2 + i - 1. Let s be r(1). Suppose -5*b + 6 = -2*n - 0*n, s = 4*b + n + 3. What is the derivative of -4 - x**2 + 3*x**2 + b + 2 wrt x?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-27))\/((-77)\/((-41580)\/144)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407*b + 4 - 4 - 59*b - 537*b.\nAnswer: -1003*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25547795 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 3.54 take away 0.06?\nAnswer: 3.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 640.388 millilitres to litres.\nAnswer: 0.640388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 11*r**2 - 6*r - 101. What is g(-12)?\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 413049 and 4797?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d. Let c be 1\/(2 + -1 + d). What is the units digit of 5\/3 - c\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 411*f + 29. Let i(l) = -412*l - 23. Determine 3*b(g) + 4*i(g).\nAnswer: -415*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -82 (b) 10\/9 (c) 2\/7 (d) -1 (e) -4438 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/5 - 924*t - 276061\/5.\nAnswer: (t - 4679)*(t + 59)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 11*x - 11*x + 2*x**2. Let s(z) be the third derivative of 0*z + 0*z**3 - z**2 + 0 + 0*z**4 + 1\/30*z**5. Determine s(i(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.42 - -0.58. Let f = p + 10. Let v = -33.96 + f. What is v rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-18) - (-12758)\/(-117) - 51\/5967*-18?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7047 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/19 - -44\/57. Let k = -3369 - -3369.5. Which is the closest to 1\/4? (a) x (b) -1\/13 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 507 - 507. Solve a + a = -d - 5, z = -5*a - 5*d - 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/116 and -125\/208992?\nAnswer: 6060768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*z - 30832 = 30*z. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30773500 is divided by 134?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 76 = t. Let m be 15\/(-20) - t\/4. Suppose -m*v = -2*k - 22, -3*v = -0*v - 2*k - 18. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6605071 divided by -253\nAnswer: -26107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -13 + 6 + 3 + 3. Let h(d) = d + 6. Let k(o) = h(o) + 6*w(o). Let a(i) = -i. Determine k(a(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/2)*j*j**4 assuming j is positive.\nAnswer: j**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**4 + 2*p**3*u**3 - 5*p**3*u - 14*p + 2*u**3 wrt p?\nAnswer: -12*p**2 + 12*p*u**3 - 30*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 4*j + 241192 = 17*s, -2*s = 3*j + 160806. Round s to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -11. Calculate the remainder when l is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59988 and 582?\nAnswer: 5818836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12833.\nAnswer: 41, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -4*m - 4*t + 60, -2*t + 45 = 3*m. Let i(r) = -15 + r**2 + 7 + m*r + 0*r**2. Let j be i(-16). Solve 0 = -2*x + 6*x - j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -6. Sort 0, -5, -18, r in descending order.\nAnswer: r, 0, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44354 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -2\/7 (c) 5 (d) -1\/5 (e) -100472\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853638.\nAnswer: 2, 3, 17, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 112*a - 4*a. Solve -20 = -4*f, 0 = -4*s + 7*f - a*f - 37 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2249246155.\nAnswer: 5, 13, 5683, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42826*x**3 - 1444*x + 21 wrt x?\nAnswer: -256956*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 546\/52*(-12)\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 1431175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28286 and 9634055615.\nAnswer: 9634083901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 0.4, 5, 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -765705*k**3 - 2*k**2 - 22*k - 18. Is x(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -865644, -865502, -865264, -864930, -864500, -863974, -863352?\nAnswer: -862634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00262426081 rounded to 7 dps?\nAnswer: 0.0026243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5486367*p**3 + 4795801*p**2 wrt p?\nAnswer: -32918202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -16, 695921, -4 in ascending order.\nAnswer: -16, -4, -1, 0, 695921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303 divided by 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86638*b**3 - 6*b + 2409 wrt b?\nAnswer: -519828*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -15.7. Let k = 0.01 + -0.41. Suppose 8 = -3*u + u. Which is the nearest to 1\/4? (a) v (b) k (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -133555, -267081, -400607, -534133, -667659, -801185?\n\"Answer: -133526*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/4 (b) 0.4 (c) -5 (d) 1 (e) 58\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -27) + (-137 - -64).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -27, -33, -37, -39, -39?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/16? (a) 180 (b) -1\/5 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9939*x**3 + 6941.\nAnswer: -29817*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -9*m**2\/2 - 28*m - 49. Find the first derivative of b(j) wrt j.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 41.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 2, t: 1, c: 1}. What is prob of sequence lu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (-4 + 2 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2338 = -5*t - 2310, 5*t = q + 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2057948 and -4.\nAnswer: -8231792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(54)\/sqrt(2))\/(sqrt(225) + (1*sqrt(225) - sqrt(225))))**2.\nAnswer: 48\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 q when three letters picked without replacement from {k: 1, x: 11, q: 2}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvxvxvxxxfxvvvvvfvvx. Give prob of sequence xfvf.\nAnswer: 77\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 11:16 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5290\/16119 + -26\/199. Find the common denominator of -64\/45 and a.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ppngf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.84244 to two dps.\nAnswer: -10.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8258793 to the nearest integer?\nAnswer: 2874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 + 9*k**2 + 8*k + 29. Calculate the remainder when 102 is divided by o(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -772, -803, -830, -853, -872, -887?\n\"Answer: 2*a**2 - 37*a - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i - 1259. Let f(b) = 2*b**2 + 10. Determine s(f(x)).\nAnswer: 4*x**2 - 1239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -1 - 1) + (-5 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -25*t**3 + t. Let o be a(1). Let w = -36 - o. Calculate the common denominator of -59\/14 and 27\/6 + -4 - (-77)\/w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.33 + -4.33. Put h, -3\/8, 6 in descending order.\nAnswer: 6, h, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14201\/(-12910)*13\/(-11) - 4\/5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*sqrt(192) + 5 + sqrt(192)) + -3.\nAnswer: -96*sqrt(3) - 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12621142 to the nearest integer?\nAnswer: 3553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127\/2 + 63. What is the third biggest value in 0.4, -2\/19, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -73 - (38 - 1928)\/45.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2529 minus -1.94156?\nAnswer: 2.19446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 214006 - 1851766 = 0. Let j = -213842 + 307618. Let b = w + j. What is b rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/30*(-20)\/88)\/((-8)\/(-12)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 3 = 3*n. Which is the third smallest value? (a) -4 (b) -2\/11 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4566, -9178, -13790, -18402, -23014, -27626?\nAnswer: -32238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 42, 57, 78, 105?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 684, 93, -498, -1089, -1680?\n\"Answer: -591*z + 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95528?\nAnswer: 2, 11941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -703*m + 3403 - 3403 in the form n*m + h and give n.\nAnswer: -703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v**2 + 6*v + 2. Let b(x) = 1. Suppose 0 = -3*c - c - 4. Let i(d) = c*s(d) + 2*b(d). Find the second derivative of i(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/4)*u**(-4) assuming u is positive.\nAnswer: u**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17514 less than 0.4?\nAnswer: -17513.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -66, -104, -144, -186, -230?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 767\/146213 or 1?\nAnswer: 767\/146213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.6 + -32.4. Let x = o - -63.7. Let s = x - 26.7127. Round s to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1942 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -37798*g + 226796. Determine j(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*j**2*w**3*z + 2*j**2*w**3 + 3*j**2*w**2*z - 4*j**2*z + 418*w**3*z - 194*w**2*z - z wrt w?\nAnswer: 324*j**2*z + 12*j**2 + 2508*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b**(5\/6)\/b*b)\/b))\/b)\/b*b*b**6*b)**(-35)\/((b*b\/(b\/(b\/b**(2\/19))))\/(b*b**(-8\/3)))**(2\/25) assuming b is positive.\nAnswer: b**(-715687\/2850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 17*y**2 - 101*y + 1044. What is r(19)?\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11476323 - 0.7171.\nAnswer: -11476323.7171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 8*s - 2*s. Which is the closest to -2? (a) s (b) -0.5 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l**2. Suppose 0 = -4*c + 22*c - 36. Let f = 5 - 3. Let z(w) = -3*w**2 + 4*w**c - 3*w**f. Determine z(n(u)).\nAnswer: -50*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 29 = 3*w, 12*w + 2*s + 48 = 4*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.4446 - 0.5554. Which is the third biggest value? (a) 5\/2 (b) z (c) 2\/23 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 + -3. Is i\/1*(1 - (0 - 0)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 24 = -2*u. Is (2\/u)\/((-5)\/(-2175)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1991*i + 461909. Calculate n(232).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 26 + 6 = -5*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45503.\nAnswer: 45503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 5*l**2 - 8*l + 116. Let z be g(6). What is the greatest common divisor of 152 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29130, -29155, -29186, -29223, -29266, -29315, -29370?\n\"Answer: -3*h**2 - 16*h - 29111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5\/4 (b) 3\/130192 (c) 0.2 (d) 1\/2 (e) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4599.94 minutes to microseconds.\nAnswer: 275996400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 63913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 7)*(d**2 - 2*d**2 - 6*d**2) in the form k*d**2 + t*d + i and give k.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*h - 10*h + 7. Let m(j) = -12*j**3 - 1. Determine m(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + x + 12. Let s = 0 + 3. Let m(b) = -6 + 0*b + s - 3 - 3*b. Determine m(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = -485. Suppose 0*t + t - 1 = 0, t = -4*h + q. Suppose -2*w + h = w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 11 = 2*b - 29, -5*b = -2*k + 39. Suppose -u + k = -3. Suppose 5*a - w = 11, 0*a + 8 = 2*a - 4*w. Solve 0 + u = a*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) -3 (c) 64.6 (d) 0 (e) 20 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*f + 57 + 42, -3*c = -2*f - 102. Calculate the highest common divisor of 36 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2*(-1)\/(-2))\/(3\/(-6)). Suppose d*q + 24 - 176 = 0. Let y = -70 + q. Solve c + 4 - y = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178907 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -470*s + 6416. Does 138 divide i(-53)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.983km in micrometers?\nAnswer: 321983000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 1708.382.\nAnswer: 6833.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231517 is divided by 38585?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3942587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16038401?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*o = -25*o + 270 - 42 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g + 925. Let r be p(109). Solve 0 = -484*i + r*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16050614?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-10)*(1 - 21). Suppose -5*l = 2*x - l - i, -3*l = -2*x + 23. What is the highest common divisor of 110 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -12) + 7 - 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 6 - 1 + 3*w.\nAnswer: 3*w - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4))**2 + sqrt(5) + 3 + sqrt(5) + (0 + sqrt(80))**2 + sqrt(5) + 2 + -2 + -4.\nAnswer: 3*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -733082*t**4 + 34*t**3 - 921*t - 31446?\nAnswer: -8796984*t**2 + 204*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -312, -322, -350, -402, -484, -602?\n\"Answer: -n**3 - 3*n**2 + 6*n - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1. Let t(h) = h**2 - 7*h + 4. Let q(b) = 3*t(b) - 6*v(b). Factor q(m).\nAnswer: 3*(m - 6)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010 + 20000?\nAnswer: 11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 56 = 152. Let a = d + -95\/6. What is the nearest to 0.5 in -0.1, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1677252 and 3.4?\nAnswer: 1677248.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2 = g, -n + 4 - 5 = -2*g. What are the prime factors of (-1)\/(0 - g) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let u(i) be the first derivative of i**4\/2 - 2*i**3\/3 - i**2\/2 - 2*i + 1. Is u(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -5, 32 in decreasing order.\nAnswer: 32, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 19\/2. Let r = 10\/13 - 76\/65. Which is bigger: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -8. Which is the nearest to 0? (a) -0.3 (b) -1\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -6079?\nAnswer: -6078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.757958 months to decades.\nAnswer: 0.18964965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 = -3*j. Suppose 0 = -2*r + r + j. Suppose -2*a**3 + 6*a**r + 4*a**4 - 6*a**4 + 2*a + 0*a**4 - 4 = 0. Calculate a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.8 in -0.3, -0.4, -1\/3, 750?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 26 = 10. Let n(w) = -w**2 + 8*w - 2. Let q be n(7). Sort z, -4, q in ascending order.\nAnswer: -4, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-319)\/(-4) + (-2)\/(-8). Suppose 2*s + 5 - 18 = 3*k, 0 = 5*k - 15. Suppose 3*i - 19 = s. Calculate the greatest common factor of f and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zskk when four letters picked without replacement from {k: 2, g: 1, z: 3, j: 4, o: 1, s: 1}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10 = -20. Solve 5*l = r*l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.232181 millilitres to litres.\nAnswer: 0.008232181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i = -68*i + 392878 + 395630. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50524 = 20*x + 14864. What are the prime factors of x?\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4780210*j**3 + 9475*j**2 - 31*j wrt j.\nAnswer: -28681260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0408857604 to four dps.\nAnswer: -0.0409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13572\/(-15834) + (-600)\/(-14)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 19043 - 2*v + 38404 - 19361.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*d = 28, 2*o + 2*d = o + 12. What is the remainder when 113 is divided by 138\/o*-4*1\/(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*r = 21663 + 402817 - 26437. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4788197499?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30009865 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 5 (b) 4\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b + 1. Let p be k(-1). Let w = 246 + -245.9. Put w, p, 4 in decreasing order.\nAnswer: 4, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/102, 3, 7 in decreasing order.\nAnswer: 7, 3, 1\/102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -695*o = -15822 + 1227 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 3*f = 29473 - 29515, 5*p = 8*f - 87 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.002 and -2166399.\nAnswer: -2166398.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -18. Let v = -7 - t. Let l = 184 + -182. Put l, v, 4\/7 in increasing order.\nAnswer: 4\/7, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*x - 10, -5*x + 2 = -2*q + 3. Is (592 + q)\/5 - (0 + -1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 15 = 5*v, 0 = m + 5*v + 11. Let o = -4 + m. Find the second derivative of f**4 + 2*f - f + o*f**4 wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-378)\/(-70) + (-6)\/(-10)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**5\/100 - 3*v**4\/20 + 7*v**3\/10 + 69*v**2\/2 + 32. Let r(f) be the second derivative of a(f). Factor r(d).\nAnswer: -3*(d - 1)*(d + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + (0 + -4 - -18).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 7*k. Let c be r(7). Let p be (20\/25)\/((-6)\/(-135)). What are the prime factors of (-12)\/(-18)*(c + p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173900 by 235.\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/60)\/((-20)\/495). Which is greater: 2 or c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 694996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - b + 5, -19*r + 3*b = -256 + 221 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 924683*p - 924412*p = -8943 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*m + 4*c - 1709, 2*c + 6 = 0. Suppose -y + 119 = -3*a, a - m = -3*y - 4*a. List the prime factors of y.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(0 + sqrt(684)) - (3 + sqrt(684) + 1 + sqrt(684)))*-6)**2*-5*-2.\nAnswer: 120960*sqrt(19) + 12071520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -9*y**3 + 30*y**2 + 48*y - 27. Let l(w) = -22*w**3 + 68*w**2 + 94*w - 54. Let h(d) = -2*l(d) + 5*n(d). Calculate h(17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d\/(d\/d**(1\/3)))*d))\/d**3)**(-11)\/(d**(-3)*d**(-2\/5)*(((d\/((d\/d**4)\/d*d))\/d)\/d)\/d**1) assuming d is positive.\nAnswer: d**(476\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 53.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13685575?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12222 divided by -270\nAnswer: 679\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265692 and 924.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9920*j + 9906*j - 27216 = 0. Put -2, 2, j in descending order.\nAnswer: 2, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - w - w)*(1 - 3 + 1)*(-2 - 4 + 0)*(2*w - 2 + 2) in the form k + l*w + p*w**2 and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 73*u**4 - u**2 + 3*u**3 - 42*u**4 - 36*u**4 to the form r*u**4 + p*u**3 + o + v*u**2 + s*u and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3988447773 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 83, 0.6.\nAnswer: 0.6, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-363)\/(-27) + (-188)\/423 - -8.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 1529 + 767 = -59*r - 574 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u + 2 - 1\/4*u**4 - 1\/2*u**2 - 1\/3*u**3. Let t(a) = 5*a**3 + 4*a**2 + 5*a - 4. Let i = -464 + 465. What is i*t(o) + 4*c(o)?\nAnswer: o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 286 + a + 280 - 561 + a**2 + 19*a in the form f + u*a**2 + q*a and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -1 - (-66 - -82).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2056 divided by 2?\nAnswer: -1028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/135*(-1 + (-1 - 1)). Let m(y) = y - 4. Let k be m(9). What is the closest to 23 in k, 6, u?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -172\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 653 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2 - 21395*i + 21396 = 0.\nAnswer: -21396, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 7 = -3*b - y, -y - 4 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*l - 940, -f - 4*f + 1550 = 5*l. Suppose 13*j = 8*j - l. Let u = 22 - j. Is 27 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110011 + 2011?\nAnswer: 2112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 33*h**3 + h**2 + h - 1. Suppose 1 = 3*a - 2. Let r be q(a). Suppose 0 = 3*j + r - 106. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3857*z - 268906 = -140*z - 85044 for z.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0\/i)**(-20)*(i\/i**1)**(2\/61))**(-5\/2) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5 + 334*k**4\/5 - 6348*k**3\/5 - 51192*k**2\/5 - 3888*k = 0. Calculate k.\nAnswer: -45, -6, -2\/5, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*s - 118. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 4*x - 39*x**2 + x - 3*x.\nAnswer: -39*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3650 - -3650.1783. Let b = -0.18 + r. What is b rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -48\/5*j**3 + 48\/5*j**2 - 16\/5*j + 0 + 4*j**4 - 3\/5*j**5 = 0?\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 6*w**2 - 13*w - 6. Give f(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -13*h + 347. Determine l(20).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + y**2 + 2*y**2)*(8*y**2 + 14*y**2 - 8*y**2).\nAnswer: 42*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 9:21 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r + 0*r - 2*r + 0*r - 41. What is the remainder when 123 is divided by m(-9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 5*q + 2. Let o be b(5). Suppose -o*x - 100 = 2*x. List the prime factors of 6\/8 + x\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*sqrt(1700) + -3 - (-1 + 0 + sqrt(1700))))**2 - ((sqrt(425) - (-2*sqrt(425)*3 - sqrt(425))**2) + (1 + sqrt(425) + sqrt(425) + -5)**2).\nAnswer: 75*sqrt(17) + 19113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8093916 to 2 decimal places.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102 - -156. Let z(g) = -g**2 - 4*g + 11. Let d be z(-5). Calculate the highest common divisor of d and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 43?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (392\/(-42))\/(2 + 295\/(-147))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/882188 and -75\/24976.\nAnswer: 24701264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 10:17 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**4\/3 - m**3\/3 + 21*m**2. Determine v(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58)\/696)\/((-40)\/90)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (3 + (3 - 12)))\/1. Solve l*i - 3*i = 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19002*q**2 + 37998*q**2 - 4*q**3 - 19001*q**2.\nAnswer: -4*q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 100*r**4 - 4*r**2 + 2*r - 195. Let p(t) = 298*t**4 - 14*t**2 + 7*t - 586. Let j(v) = -14*m(v) + 4*p(v). Differentiate j(n) wrt n.\nAnswer: -832*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7}. What is prob of picking 2 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 0, -1737, 2, 4 in descending order.\nAnswer: 4, 3, 2, 1, 0, -1737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 5 (c) -4 (d) -1\/6 (e) -22 (f) 413\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 29*o**3 + 115*o**2 - 242*o - 960. Give c(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/(s\/(s\/s**(-2)))*s)\/s)\/s)\/s)**(-2\/49)*s\/(s\/((s\/(s\/s**(-2)*s))\/s)*s)*s**0\/s assuming s is positive.\nAnswer: s**(-298\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 33 - (581 + -573)) + (0 - -8) + -1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n + 13978 = 29*n - 5*k, n + 3*k - 13994 = 0. What are the prime factors of n?\nAnswer: 2, 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 44*r**2 + 50*r**2 - 127*r**2 + 43*r**2 - 5*r**3 + 2*r to p*r + g*r**2 + f + v*r**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 3*w + 118120 = 118440. Solve 0 = 6*f - w + 56 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 666 and 9768.\nAnswer: 29304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -94 - 5*o**2 - 2*o**2 + 3*o**2 - 46*o + 6*o**2. What is the hundreds digit of a(33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10418265 or -20836529\/2?\nAnswer: -10418265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292.81*-0.2.\nAnswer: -58.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**4 + 485*z**3 + 13125*z**2 + 89595*z + 163350 = 0.\nAnswer: -55, -33, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1801 and -38?\nAnswer: 1839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*p = 2*p - 59, 0 = 5*p - 5. Suppose -2*f = -3*d + i, -4*d - 3*f = -f - 10. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -5, -0.4, -264, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - -6. Let q(t) = -t**2 - 4*t + 3. Let k = -7 + 3. Let f be q(k). What is the greatest common divisor of j and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffzfuufuuzu. Give prob of picking 3 u.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*c + 3 = 131*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**6\/1440 + 3*x**5\/80 - 27*x**4\/32 + 2*x**3\/3 - 4*x**2 - 83. Let v(f) be the third derivative of k(f). Factor v(p).\nAnswer: -(p - 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, -4, -24, -64, -130?\n\"Answer: -j**3 - j**2 + 4*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6782803 to 2 dps.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34396390 = -88*m - 34390846 for m.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*v - 232*v - w + 27147 = 0, -5*v + 2*w + 135700 = 0. What are the prime factors of v?\nAnswer: 2, 41, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 613\nAnswer: -3\/613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/5635 and -78\/125170255.\nAnswer: 125170255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 16650, 5, 2, 3, 4 in ascending order.\nAnswer: -4, 2, 3, 4, 5, 16650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + o**2 - 4*o**2)*(1 - 1 - 3*o).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5*3\/18)\/(10\/18). Let q(y) be the first derivative of -o*y**2 - 1\/4*y**4 + y + 3 - 4\/3*y**3. Give q(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/15 + 11\/3. Let t = 1 + r. Suppose -4*i + 15 = -5*x + i, t*x = -i + 8. Solve -3*y - z - 14 = -y, -y + z - x = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*y**4 + 14274 - 59*y**2 + 218*y**3 - 14267 - 64*y**2 wrt y?\nAnswer: 216*y + 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j*z**3 - 2*j*z**2 - 4297090*j*z + 82143*z**3 - 1 wrt z.\nAnswer: 24*j*z - 4*j + 492858*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 42.3. Let i = v + 3.7065. What is i rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(-5*1\/(-10))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 422*t**2 + 204*t**2 - 2*t + 4*t.\nAnswer: 626*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*r = 114*r - 5930. Suppose -136 + r = 21*h. Let o = -3 - -13. Calculate the greatest common divisor of h and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 5, m: 4}. What is prob of sequence mm?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i, 3*s = s - 5*i - 88. Let f = s + 108. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t. Let p(d) = 7*d**2. Suppose 0 = 2*j - j - 2. Let r be ((-1175)\/30 - 1) + j\/12. Let g(l) = 48*l**2. Let k(a) = r*p(a) + 6*g(a). Give o(k(h)).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.85 + 7.65. Sort 1, v, 4, 51 in ascending order.\nAnswer: v, 1, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeepbb. What is prob of picking 1 p, 1 e, and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, e: 5, n: 1, y: 4, o: 3, i: 1}. What is prob of sequence eoyc?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19668\/(-8) - 3\/2. Let j = t - -3497. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3 = 0, -2*z - x + 9 = 3*z. Solve 0 = 4*h - z*s - s + 20, 2 = -3*h - s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5\/839?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14522\/2 - (0 - 0)\/17 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 ewqqxeee. What is prob of sequence xe?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -190, 0, -3, 4 in increasing order.\nAnswer: -190, -4, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 10*t - 15. Let r be s(-7). Let j = r - 11\/2. Let m = 0.1 - 0. Which is the closest to j? (a) m (b) 1\/8 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9150 a factor of 1429245676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -25*x**3\/3 + 5. Let k(i) = -2*i**2. Determine k(w(d)).\nAnswer: -1250*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**1*i)**(-12)*i**(3\/2)\/(i*(i\/(i**(5\/2)\/i)*i*i*i)\/i)*i**(2\/7)\/(i**1\/i*i)*((i**(1\/4)*i)\/i)**10 assuming i is positive.\nAnswer: i**(-157\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(4620\/(-45)))\/(6\/(-2))\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(19) + sqrt(304)*2)**2 - sqrt(57)\/(sqrt(3) + sqrt(48)*-3).\nAnswer: sqrt(19)\/11 + 1541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*y - 2*y + 2, 3*s = 4*y - 13. Let k be y\/2 - (-21)\/6. Solve 15 = -n + 5*j, 11 = -k*n + n - 2*j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/((-20160)\/176)*-8*2\/(-132).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.0279 + -0.0279. Let t = -0.08 - 0.92. Sort k, t, -4, 0.5 in increasing order.\nAnswer: -4, t, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -67, -143, -219?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24567*c**4*r**2 + c**3*r**3 - 16*c*r**3 - 2*c*r + 3*c - 317*r**3 wrt c?\nAnswer: -294804*c**2*r**2 + 6*c*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a + 204 = -30*a. Let g be (-618)\/(-51) - (-6)\/a. What is the greatest common factor of 30 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1854121629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4230 by 282.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (4 + -2 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 806390.\nAnswer: -1\/403195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4487\/(-215376))\/(((-182)\/(-16))\/(-7))?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + -110797)*(54 - 4). Round i to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s - z + 3, -2*z = 4. Let f(k) = -4*k + k**2 - 3 + 8 - k. Let o(t) = 9*t + 2*t - 34*t + 2*t**2 + 12 + 5*t + 6*t. Determine s*o(g) - 12*f(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 53?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:15 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 10 = -5*h. Suppose -h*g**4 + 17*g**4 + 12*g**2 + 76*g**3 - 52*g**3 + 3*g**5 = 0. What is g?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (450\/(-20))\/(635\/(-508)). Factor -3\/2*a**3 + 15 + k*a**2 - 63\/2*a.\nAnswer: -3*(a - 10)*(a - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*s + 22 - 25, -6 = -2*s + 2*p. Solve 2*j = 4*n - 3*n + 3, -2*n - j - 1 = s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 + 6*n**2 - 11*n + 12. Let g be f(-10). Is 7 a factor of 6\/(-33) - g\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 31 = 6*m, -5*m + 56 = 5*p - 99. Suppose 2*x - 3*t - 11 = 0, 2*x = -2*t + p - 5. What is the remainder when 110 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/64)\/((-9)\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -10 + -12 - -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-173)\/(-5) - (-4)\/10. Suppose -5*o - 65 = -2*h - 3*h, -h = -3*o - u. Let l(x) = -2*x + 4. What is the tens digit of l(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24420161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**6\/120 - y**5\/30 + 5*y**4\/24 - y**3\/2 + 15*y**2 - 39. Let x(c) be the second derivative of w(c). What is x(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q, -5*o + q - 4 = -24. Suppose 52 = 6*i - 2*i + o*m, -i + 4*m - 12 = 0. Suppose -x - b - i = -43, 0 = b - 1. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -3*n + 6 + 11, 2*f = 5*n - 27 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -26, -28, -30?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 330*j**2 - 2*j**5 + 1 + j - 1 - 3*j**3 - 324*j**2 wrt j.\nAnswer: -120*j**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*y - 450. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*b + 11 + 17, -5*b = a - 32. Suppose -b*i - 8 = -284. Calculate the remainder when i is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c + -14d1b?\nAnswer: -14cef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 - 4*r**2 + 12*r**2 + r**2 - 3*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 8.975679 (b) -0.3 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4 - 451*g**3 + 232*g**2 + 1356*g = 0. Calculate g.\nAnswer: -226, -3\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*t - 75 = -665. Let n(c) be the second derivative of -14\/3*c**3 - 4*c**2 - 46*c + 19\/20*c**t + 1\/2*c**4 - 7\/30*c**6 + 0. Factor n(f).\nAnswer: -(f - 2)**2*(f + 1)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51819.45 rounded to the nearest one thousand?\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/42)\/((-32)\/96)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285.0915 millennia to centuries.\nAnswer: 2850.915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 8 + 7 + 16 + (2 - 0) + 27\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2998*h - 2952*h = 920 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 798941479?\nAnswer: 7, 59, 1934483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5 = -2*s. Suppose -5*g + 28*i + 15 = 23*i, 0 = -5*g - 3*i + 39. Sort g, s, -1\/6, 5.\nAnswer: -1\/6, s, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 52111?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6*h + z + 187 = 0, -4*z + 140 = 4*h. Let n = 21 - h. Let a = 37 + n. Calculate the highest common divisor of 14 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.865032 litres?\nAnswer: 6865.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a*a\/(a*a**7)*a)*a)*a*(a\/a**1)\/a)**36\/((a*a**(-2\/5))**49\/((a**(1\/2)\/a)\/((((a\/a**(-6))\/a*a)\/a*a)\/a*a))) assuming a is positive.\nAnswer: a**(-2169\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 75d?\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -235594137*w - 944860460?\nAnswer: -235594137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 10 = -16*a. Suppose 3*u - 104 = -a. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 - 1.8. Let p = 0.31 - -2.89. Let w = 0.2 - p. What is the biggest value in 0.1, t, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Let a be 2\/5*10\/h. What is the third derivative of -x**2 - a*x**2 + 2*x**3 + 2*x**2 wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)\/(p\/(p*p\/(p*p**(-5))*p*p)))**(-9) assuming p is positive.\nAnswer: p**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10020 + -10029.498. Let w = 18.496 + t. Let i = 9 - w. What is i rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -821000 to the nearest 10000.\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21458639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/57? (a) -0.4 (b) 3 (c) 0.02 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -a649 (base 12) to base 9\nAnswer: -26863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**3\/3 - 11*d**2\/2 - 11*d - 124. Calculate i(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 + 82. Suppose 4*f + 3*z = z + 190, m*f + 3*z - 93 = 0. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 393\/418 - 15\/38. Which is the smallest value? (a) h (b) -0.3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1254400*k**3 + 41381760*k**2 - 443484*k + 1188 = 0.\nAnswer: -33, 3\/560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32366*u**3\/5 - 32364*u**2\/5 + 2*u\/5.\nAnswer: -2*u*(u + 1)*(16183*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0315 and 498530720104.\nAnswer: 498530720103.9685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 4\/3 (b) -3\/5 (c) 6.3 (d) 26\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -o + 6. Let m be -1*(4 - (-5 + 18)). Solve m = -o*n - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + i. Let a(q) = -3*q**2 - 86*q - 476. Let y(n) = -a(n) + 5*u(n). What is the derivative of y(s) wrt s?\nAnswer: -4*s + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**7\/2940 - r**6\/1260 + r**5\/420 + r**4\/84 + r**3\/6 + 2*r**2. Let i(s) be the first derivative of t(s). Solve i(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 12 = 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 40, 368, 1262, 3004, 5876, 10160, 16138, 24092?\n\"Answer: 47*m**3 + m**2 - 4*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -547320*g**2*o**3 + 1258*g*o - 65*o**3 + 2*o wrt g?\nAnswer: -1094640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y - 20*y + 88*y - 25*y - 28*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 2*c**6\/3 - 7*c**3\/3 + 1. What is the third derivative of n(g) wrt g?\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -5, -47, -1 in ascending order.\nAnswer: -47, -43, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -628461*h - 343*h**4 + 628461*h + (2 - 2 - 3*h)*(4 - 4 - 2*h**3).\nAnswer: -337*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -4*(sqrt(275) + 4 - sqrt(275)) + sqrt(275))*-1 + (2 + sqrt(275)*-6 - (-2*(5 + sqrt(275)) - sqrt(275))))**2.\nAnswer: -1240*sqrt(11) + 5361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7771 + -7770.8. Let o = 1 + 1. Suppose -1 = -4*u + 3*u - h, -h = 2*u. Which is the smallest value? (a) u (b) o (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from {c: 1, v: 3, u: 1, x: 3, g: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -830250541 - 2*z - 830250531 + 1660501072.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:49 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + -34 - (3 - -1). Let v = k - -39. Sort 0, v, -2 in ascending order.\nAnswer: -2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4213 - 4219. Suppose 6 = -2*j - j. Let x be j\/(-6)*1 - 0. Which is bigger: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from trt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 3 - 5\/2*r**2 + 0*r - 1\/15*r**5 + 1\/2*r**4 + 0*r**3. Let m(x) be the second derivative of z(x). Factor m(w).\nAnswer: -4*w*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 101923 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1909?\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 - -89.3. What is the nearest to -1 in -2, s, 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579751033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-1936)\/288 + (-4)\/(-18))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -824 - -828. Let o = 11 + -6. Calculate the remainder when o is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 6. Let r be (-1 - (5 - 0))\/2. Let g be p(r). Is g smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -1\/24*f**5 + 4 + 0*f**3 + 4*f**2 + 0*f - 5\/48*f**4. Factor v(b).\nAnswer: -5*b*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -8\/7*g**2 - 4*g**3 + 0 - 8\/7*g**4 + 12\/7*g = 0.\nAnswer: -3, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2.06. Let d = a - -0.34. Let g = 2\/55 - 63\/220. What is the nearest to 1\/3 in -1\/6, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 + -11 - (-2)\/8. What is the third biggest value in -2, -5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from tmjmtmjtmm?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 4, -0.04, -65, -199, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*p + 2364 - 1852 = -3*o, o + 5*p = -57 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 7*y - 3. Let s be h(3). What is the first derivative of -20*k**3 + 17*k**3 - 8*k**3 + s wrt k?\nAnswer: -33*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/7 + 926682*i\/7 - 5560200\/7.\nAnswer: 3*(i - 6)*(i + 308900)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12302113 + 301?\nAnswer: -12301212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7820, -7839, -7870, -7913?\n\"Answer: -6*d**2 - d - 7813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -82, 2 in descending order.\nAnswer: 2, -2, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 117977*o**2 + o. Let c(w) = -76*w**2. What is m(c(y))?\nAnswer: 681435152*y**4 - 76*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p + 1200 = -121*p - 104*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4152 + d3?\nAnswer: -407f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-207)\/(-1) + (9 - 14). Calculate the remainder when -1 + 3\/2 + h\/4 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 15*x**2 + 52*x - 12. Determine d(4).\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b + 24. Let q be v(4). Suppose -8*t = -q*t - 92. Calculate the greatest common divisor of t and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 31. Let u be h(0). What is u rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46952 and 140?\nAnswer: 1643320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.38 > -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**2 - 308*p + 790. Give c(-106).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 755 = 2*i. Find c, given that 0*c + 0*c - i*c**2 - c**3 + 369*c**2 + 3*c - 18 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00086961 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - -6*sqrt(77)*2))\/((-2*sqrt(99) + sqrt(99))\/sqrt(9)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000635782 to seven decimal places.\nAnswer: 0.0000636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (sqrt(343) + -5 + sqrt(343) + 5 - 4*(sqrt(343) + 4)))**2.\nAnswer: -4791 - 1260*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12)*(-2)\/(-3)*(-351)\/(-234)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -77*x**2 - 7*x + 19. Let h(g) = 3*g**2 - 2. What is 9*h(o) + w(o)?\nAnswer: -50*o**2 - 7*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -174, -255, -336, -417, -498?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*(-4 + 4*sqrt(2448) - (2 + (sqrt(2448) + sqrt(2448) + -3)**2 + sqrt(2448))).\nAnswer: -19610 + 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/3 + 5\/(-15). Suppose -3*m = -3*s - 3, 3*m - 4*s = -2*s + 8. Suppose 5*c - m - 44 = -5*q, -3*c + g = -q. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + (-1 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**6\/120 + 7*t**5\/30 + 7*t**4\/12 + 11*t**3\/2 - 61*t**2. Calculate the smallest common multiple of 14 and w(15).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -115003*s + 115006*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -68*w - 331. What are the prime factors of s(-46)?\nAnswer: 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v = -4. Suppose 1 + v = l. Find the second derivative of -3 - j + 3 - j**l wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 + -62. Let m = k - 3. Calculate the remainder when m is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3652.9828 to the nearest 10.\nAnswer: -3650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 d, and 1 r when three letters picked without replacement from ryrddnv?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -4*l + 2*v, l - 1893*v + 12 = -1894*v for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3)**(7\/2))**47 assuming u is positive.\nAnswer: u**(987\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7527226.\nAnswer: 2, 7, 17, 31627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/31)\/x*x*x**(1\/3)*x)\/((x\/((x\/(x**(10\/9)*x))\/x*x))\/x**(1\/2)))**46 assuming x is positive.\nAnswer: x**(-2737\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 9:30 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 3406\/390)\/((-72)\/(-20))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = o - 1, -4*l = 3*o - 2 - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*i**3 - 4*i - 2*i**3 + 4*i - 13*i**3.\nAnswer: -56*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.77013 to two decimal places.\nAnswer: 3.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29712731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 18. Let x be m(6). Let n be 17\/(-6) + 3 + (-334)\/x. What is the highest common divisor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s - 1. Determine m(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-98))\/((-6)\/(-12)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -638, -637, -636, -635, -634?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 4*o + 5. Let b be p(4). Suppose -5*x = 2*i - 169, 2*i - 134 = -4*x - 0*i. Calculate the greatest common factor of b and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1424 to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 2*v**2 + 3*v + 2. Let d(h) = h**2 - 21. Let f be d(5). Suppose f*n - 6 = -14. Calculate x(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1691186265 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4931.907 hours to nanoseconds.\nAnswer: 17754865200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onnyonooyojjoyooo. Give prob of picking 2 y.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1528, -1533, -1538?\n\"Answer: -5*f - 1523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148975 to the power of 1\/2, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1222110 (base 8) to base 9\nAnswer: 563208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -1 - 15\/(-3). Suppose -v*u = -19 - 1. Suppose -2*r**u + 2*r**2 - 4*r**2 - 2*r**5 + 2*r**3 + 4*r**4 = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q - 3. Let h(y) = -2. Let f(n) = n + 2. Let w(g) = 5*f(g) + 4*h(g). Let b(z) = 2*s(z) + 3*w(z). Let a(i) = i + 2*i + i. Determine b(a(k)).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-170)\/684 - (-2)\/9. Let w = -2174\/27151 + -36\/1429. Put w, 6, 1, r in ascending order.\nAnswer: w, r, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 18132996 in increasing order.\nAnswer: -1, 0, 18132996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2211 (base 7) in base 16?\nAnswer: -318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/263 and -25\/1620909.\nAnswer: 426299067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-2 + sqrt(128))*3 - sqrt(20)\/((2*sqrt(90) + sqrt(90))\/sqrt(9))))**2*-6.\nAnswer: -21964\/3 + 2840*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -727?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kll when three letters picked without replacement from kllkkk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 349523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-66)\/(-432) - 6\/16. Suppose -s - 4*s - 10 = 4*b, -2*b - s = 2. Suppose c - 6*c = b. What is the second smallest value in 0.4, u, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(13*(-29)\/(-4901)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 974 - 9823\/10. Let u = 13114\/11 + -1190. What is the common denominator of i and u?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 317947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) -4 (b) 1.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + 6*sqrt(143)*1 + sqrt(143))\/((sqrt(66) + (sqrt(66) - -2*sqrt(66)))\/sqrt(6)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 10 = 42. Suppose -3*r = -16 - d. Calculate the greatest common divisor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 4*z - 14 - 6*z.\nAnswer: -2*z - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 268437563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -16 (b) 118 (c) -127 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 9:53 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117041416 is divided by 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519162.777 minutes to weeks.\nAnswer: 51.50424375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -0.4, 3, 2\/5.\nAnswer: -83, -0.4, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.285 - -0.015. Let i = -10.09 - -0.09. Which is the third biggest value? (a) i (b) -1\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**13*r\/(r*(r**(2\/37)\/r)\/r))\/((r\/(r\/r**(1\/35)))\/(r**(3\/17)\/r)))**(-17) assuming r is positive.\nAnswer: r**(-310276\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 39*r + 24. Let u(x) = 22*x + 12. Let a(t) = 3*p(t) - 5*u(t). Let g be (0 - -1)\/(3\/15). What is the tens digit of a(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23810015, -23810014, -23810013, -23810012, -23810011?\nAnswer: -23810010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -188, -444, -704, -968, -1236?\n\"Answer: -2*d**2 - 250*d + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/17)*d**(-10))**(-2\/7) assuming d is positive.\nAnswer: d**(302\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 10) to base 15\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, y: 4, r: 2}. What is prob of picking 2 d?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2151627292?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 10*q - 22. Determine k(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -4, 14, 3, -5, -13 in decreasing order.\nAnswer: 29, 14, 3, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**5 + 803793*s**4 - 8841987*s**3 + 26526147*s**2 - 29741520*s + 11253564 = 0. Calculate s.\nAnswer: -267942, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 5*q**2 - 3*q + 8. Let b be a(-4). Suppose 7*x = b*x. Solve -3*f + x*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*5*sqrt(931) + sqrt(931) - sqrt(931)) + -5)**2 + (-3 + (sqrt(2299) + -4)**2 + sqrt(19))*-3.\nAnswer: 2011*sqrt(19) + 574964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0156 and 8358.7.\nAnswer: -130.39572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**13)*h)**44)**(-3) assuming h is positive.\nAnswer: h**1584","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*((c\/(c\/(c\/c**(-4)))*c)\/c)\/c)**(-7\/3)*(c**(1\/6)\/c)**29 assuming c is positive.\nAnswer: c**(-229\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -2566 and -2568 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**4 - 391335*s**3 - 3913010*s**2 - 12521280*s - 12521120 = 0.\nAnswer: -78257, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 3*u**2 + u + 1. Let o be l(3). Let q(i) = i**2 - 15*i + 9. Let d be q(15). Let r = 12 - d. Solve 2*a = 5*b - 28, 2*b + r*a + o = -0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from ccbcwcdccbcdwdwwcccb?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = s - 32, 2*s + 3*s + a = 208. Suppose 40*m + 3 = s*m. Solve m*p + h - 4*h + 9 = 0, -4*p - 3*h = -16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 0*k**3 - 9\/5*k**5 - 1\/2*k**2 + 37\/12*k**4 - 19 + 3*k. What is the third derivative of h(u) wrt u?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4224999*x**2 - 2*x. Let y be 1*((-6)\/(-2) - 0). Let k be y - (-2 - 9\/(-3)). Let z be b(k). What is z rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-27))\/((-650)\/(-4290)).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 11:06 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15\/32 - -63\/32. Let t = 0.041 + -0.141. Which is the closest to l? (a) t (b) -13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - z + 5*z + 8 = 0, 0 = 5*p + 3*z - 17. Suppose 5*f = 3*y - 265, -4*f = -p - 12. Let k = -42 + y. What are the prime factors of k?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25\/4? (a) 0 (b) 3 (c) -14\/17 (d) -5 (e) 0.04 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 47*z + 408. Give i(58).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2009 - -2007. Which is the nearest to x? (a) 46 (b) 6\/13 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 - 55 = 8*s. Let c = s - 91\/3. Which is greater: -0.13 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + z - 2*z)*(4 - 2 - 3) - 4*z - 12 + 12 + 671*z + 481*z - 359*z.\nAnswer: 787*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/9 - (-1)\/3*8. Suppose -w + 4*v = -6*w + 1, r = 5*w + 2*v. Solve -4*k = 15 + w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26)\/(728\/420) + 29337 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40\/30 - 64\/(-6) and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3*(sqrt(68) + 1) - (sqrt(68) + -1 + 4)**2) + -1).\nAnswer: -324 - 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p = 3*t - 304, -5*t = -p + 99. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3433*k**6 - 8*k**5 - 2*k**4 - 49849*k**2 - 8*k - 1 wrt k?\nAnswer: 411960*k**3 - 480*k**2 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -56. Let t = f - 37.8. Which is the smallest value? (a) t (b) -0.03 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -202 - -1136?\nAnswer: a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11207 (base 9) in base 14?\nAnswer: 2a0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) -83 (c) 4\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4918*q**2 - 4 - 2458*q**2 - 2457*q**2 + 4.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11582, -11714, -11940, -12266, -12698, -13242, -13904?\n\"Answer: -n**3 - 41*n**2 - 2*n - 11538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 4*a - 3*a + 74 - 72, n - a = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9418 times -3?\nAnswer: 28254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2307223424.\nAnswer: 2, 11, 1638653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 795970951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14262686654 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - sqrt(468)*2)\/(-2*sqrt(16)\/sqrt(4)))**2.\nAnswer: 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2664 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.461 + 1090?\nAnswer: 1324.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 61? (a) -2781\/10 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2348328 or -16438293\/7?\nAnswer: -16438293\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - w = -3 - 4, 0 = -2*v + 4*w - 24. Let x be v\/(-9) + (-76)\/18. Let p(q) = -q**3 - 5*q**2 - 3*q. Give p(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6023096276?\nAnswer: 2, 109, 13814441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249196?\nAnswer: 2, 62299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 16. Suppose -3*d + 17 + 16 = 0. Let y(b) = 3. Determine d*y(g) - 2*v(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*n**2 - 8*n**3 + 17*n**3 - 90*n**2.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -39. List the prime factors of (-188)\/(-4) + 1 - i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 3995824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m - 3. Let b be t(-4). Let g be (2\/(-6))\/(1\/b). Solve -3*h = g + 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 112*n**3 + 119*n**3 - 81*n**4 + n - 229*n**3 + 0*n - 2 as y*n**2 + u*n**3 + w*n + h + s*n**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, d: 1, g: 1, h: 1, a: 1}. What is prob of sequence ahe?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3 = -2*y. What is the first derivative of 0 + 9*l**y - 3 - 7 wrt l?\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4)\/((225\/40)\/15). Solve 0 = 2*h + r - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7455.66 - -7388. Round d to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -2. Let v(n) be the first derivative of -n**2\/2 + n + 125. Let c(t) = -3*t + 4. Calculate h*c(j) + 14*v(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 826.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w + w + 4*w)*(0*w**3 + w**3 - 2*w**3) - w**4 - 2*w**4 + 6*w**4 to the form i*w**4 + z*w**3 + l + m*w + x*w**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23*(-15)\/(-57)*((-10020)\/(-1250) - 8) and 127\/150.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47\/10 + -383\/90. Which is the nearest to -1\/8? (a) 0.7 (b) 1\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 10.5226?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3280 = 2*q + 32*s + 3384, 3*q + s = 2*s - 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28917*h**3 - 2971*h + 1?\nAnswer: 173502*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, l: 7, d: 5}. What is prob of sequence ll?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f + 8. Give o(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**2. Let p(j) = 4192202*j. What is l(p(q))?\nAnswer: -87872788044020*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10124 and 2531.\nAnswer: 10124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.005 - -0.00144. What is r rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + 26 = 14*z - 4*c, 27 = z - 5*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 766?\nAnswer: 2298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11906\/7 or -1701?\nAnswer: -1701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 31*z**2 - 33*z + 26. Give n(32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 + 6*y**2 - 17*y - 15. Let i(z) = -2*z**3 + 5*z**2 - 18*z - 14. Give -6*i(x) + 5*p(x).\nAnswer: 2*x**3 + 23*x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 2*w + 0*w)*(22 + 202 + 73) as z*w + l and give z.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-139)\/((-23630)\/1224) + 9\/5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10878\/17, 5, 2\/11, 8\/47?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 1:59 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -983*l + 1122 = -471*l - 410*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.113 - -0.11347. Round w to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -150\/17, 6, -0.4, -3, 0.08, 1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*y, 9*l = 8*l - 2*y + 11. Solve 3*i = -2*q - l, i + 2*q - 1 = 5*q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4)*h)**(2\/53)\/(((((h\/h**(-5\/3))\/h)\/h)\/h)\/h**(-2)) assuming h is positive.\nAnswer: h**(-515\/318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (6 - (2 - -17))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 6806 + 1 + (6 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -23*k**2 - 687*k - 2376. Give q(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 12*v**2 + 168*v - 649. Give z(9).\nAnswer: 1106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 445360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 5291.34\nAnswer: 26456.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -592 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 2909?\nAnswer: -2904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109593 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69431 plus 672258663.1?\nAnswer: 672258663.79431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89961 - 126271. What is v rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f = 35*f + 2. Let g be 101\/(-404) - (-23)\/108. Which is smaller: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15827, 15825, 15821, 15815, 15807?\n\"Answer: -g**2 + g + 15827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 787 (b) 0.02 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1198*f - 1164*f = 782 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-10))\/(2\/30). Let n = k + 43. Let o be 4 - ((-2)\/(-11) + n\/11). Let t(w) = -10*w**3 - w. Calculate t(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-2))\/(45\/(-455)) and 19\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 1. Let o be n(-9). Let g = o + 16. Let j be 57\/21 + g\/28. Solve -z - 16 = 4*p, -17 = -4*z + j*p - 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -15*w**3 + 74*w**2 + 8*w - 11. Let c be m(5). Solve -2*r = -7*r + c*z + 15, -4*r = z + 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321117.19 rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1690, -3380, -5070?\n\"Answer: -1690*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116.5 + 115.5. Let t(x) = -2*x + 6. Let k be t(6). What is the nearest to k in 2, p, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 51. Let t = n - -24. Solve 5*j - t = -28 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 5 + g + 3*g + 0. Let b be s(4). Suppose -2 = b*w - 27. Solve 0 = 5*r - 3*c + 2*c + 13, -r = w*c + 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 7. Let t be k(-3). Suppose -3*i - 27 = -3*m, -m + t*i - 7 = -25. Find the third derivative of 49*l**m - 6*l**2 + 63*l**6 - 95*l**6 wrt l.\nAnswer: 2040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 + 0*a**4 - 2*a**4)*(-3 + 8 - 6 - 1 - 2 + 5 + (-4 + 3 + 3)*(5 - 2 - 2) - 4 - 3 + 6 - 2 + 2 - 1).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*f = -118*f + 13. Solve 23*n + f = 10*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a + 5*a + 36. What is the common denominator of 34\/11 + 0 - 1 and ((-8)\/(-2) + -19)*a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -1604214995.\nAnswer: 1604214994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**2 + 72*s + 132. What is v(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1343925)\/34209*4\/22?\nAnswer: -50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2611 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7841?\nAnswer: 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -12243364 not equal to -110190274\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6082? (a) 0 (b) -6 (c) -2 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-191)\/(-5) - 2\/10. Suppose 4*l - 4*o = -o + g, 0 = -4*l + 2*o + 36. Solve -l = w + w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32697.\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - b + 16. Let t be d(5). Let p be ((-1)\/(-3))\/(8\/t)*2. Suppose -3*w - 18 = -3*n, w - 5*n + 16 = -10. Which is bigger: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5\/9 + 22*c**4\/9 - 25*c**3\/9 - 46*c**2\/9 = 0.\nAnswer: -23, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -f - 2*f - 307, 96 = -f - 5*k. Suppose -2907 = 60*c - 77*c. Let v = c + f. What are the prime factors of v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(117))**2 + sqrt(117)\/(sqrt(9)*-2).\nAnswer: -13*sqrt(13)\/2 + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 15*j**2 - 2*j - 2. Let d be p(-1). Suppose 0 = 4*x + x + d. Put x, -2, 0 in decreasing order.\nAnswer: 0, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z + 3. Let a(g) = -4 - 3*g - 4*g + g. Suppose u + 0*u = 2, 6 = -4*d - 5*u. Let t(k) = d*p(k) - 3*a(k). Let q(h) = h. Determine q(t(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1673\/2 + -825. Calculate the common denominator of o and 34\/73.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 13*i - 19. Let o be k(12). Let m(x) = -6 + 1 - 2*x + 12*x**2 + x**3 - 5*x**2. What is the units digit of m(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2707 + 2760 + (-93 - 3)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1\/3, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/385*-11*-10*(-145)\/(-116)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 8) to base 7.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 1\/10*a**5 + 1\/8*a**2 - 1\/6*a**3 + 6 + 0*a - 1\/24*a**6 + 0*a**4. Factor u(s).\nAnswer: -s*(s - 1)**3*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 528.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 + -1.73. Let x = p - -21.93. Let t = 21.89 - x. What is t rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/27)\/((-5)\/(-30)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/378*7 - ((-57)\/(-27) + -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w + 16. Let n(y) = -2*y - 5. Let b(t) = 2*i(t) + 7*n(t). What is b(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/12 = -6\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*t + 12 = 0, 0 = -3*c + 7*c + 4*t + 16. Let a be (-3)\/4 - (-2)\/c. Is 4 a factor of a\/(-3) + (-64)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.26332 to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3720\/2976)\/((-3)\/9)*-32.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (443*x + 376*x - 819*x - 13684*x**2)*(5*x**2 - 5*x**2 - x**2).\nAnswer: 13684*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -287 + 129. Suppose q - 57 = 2*i, 3*i + 53 + 26 = -5*q. What is the common denominator of ((-1)\/(i\/z))\/(-1) and 57\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 35*u**2 + 32*u + 70. Let f be j(34). Solve 0 = 4*z + 2*q + 8, 0 = -f*z - 4*q - q + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -15. Let c(b) = -6*b**4 - 4*b**2 - 3. Let t(g) = -7*g**4 - 3*g**2 - 3. Let z(k) = o*t(k) - 3*c(k). Find the first derivative of z(s) wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -303\/5 + 20311\/335. Which is the closest to -1? (a) 3\/7 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -195, -286, -381, -480?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62*p**4 + 120*p**3 - 8*p**2.\nAnswer: 2*p**2*(p + 2)*(31*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 4 + 2*o + 16.\nAnswer: 2*o + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let n be u(3). Let x be 263*n\/6*-2. Suppose -4*i = 5*f - 10*f - 265, 4*i - 3*f = x. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54.7236*2.\nAnswer: -109.4472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00632729921 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 8 (b) -10\/9 (c) -0.007 (d) 34\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 45\/5 + 2 + -5. What is the closest to 0.4 in o, -6\/11, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**3 - 3*p**2 + 5*p - 3. Let x(h) = 6*h**3 + 5*h**2 - 8*h + 5. Suppose 2*f + 0 = 16. Give f*r(g) + 5*x(g).\nAnswer: -2*g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90.8 - 100. Let z = y + 9. Do -1\/3 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -43562.213215636 and 0.2?\nAnswer: 43562.413215636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -3545\/8, 1\/105?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175 - 61. Suppose 15*g - 18*g = -p. Suppose s - g = 35. What are the prime factors of s?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*-2*sqrt(3456) + sqrt(3456))\/(-4*(sqrt(12) + sqrt(48)\/sqrt(4))*4).\nAnswer: -4 - 15*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24624 + 3*d**3 - 66*d + 24624.\nAnswer: 3*d**3 - 66*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -60*(42\/9 - 2). Let z be (1*-26)\/(m\/171). Let o = z - 283\/16. Find the common denominator of 23\/8 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2563 - 17943\/7. What is the biggest value in u, -2, 57, 1\/3?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47417700 to the nearest one million.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(84) + (sqrt(84) + sqrt(84)*-2)*-3))\/(sqrt(252) - (sqrt(28)*-2 - sqrt(7))) + -2)**2.\nAnswer: -96*sqrt(3)\/11 + 2212\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13717*a**2*t**2 - 16*a*t**2 + 14*a - 3 wrt a.\nAnswer: 27434*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 4:40 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 36 - 3*q + 4*q - 32. What are the prime factors of j(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.75 * -418577.\nAnswer: 313932.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52831207?\nAnswer: 11, 13, 23, 16063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 512, 10475, 37524, 90203, 177056?\n\"Answer: 1424*h**3 - h**2 - 2*h - 909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.16 and -533.812185763.\nAnswer: -533.972185763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**3 - 4*b**3 - 5 + 2 + 9*b**2 - 3 - 7*b. Determine n(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 219*u**2 + 11706*u + 1075. What is r(93)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*w + 603*w + 1840 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*(-51)\/17*1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/140030 + 9801821\/39068370. What is the common denominator of -83\/248 and d?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.5 + 0. Let b = s + -0.5. Let x = 5.0000002 + b. What is x rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376 = -71*t - 121 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 358*i**3 + 4*i**2 - 128*i - 41. Is h(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.1986291 years?\nAnswer: 0.0001986291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41464031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3 + 5\/(-3). Let f(y) = 0 - 71*y + 66*y + 0. List the prime factors of f(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f + 12. Let s be g(-4). Put 3, 1, s, -3 in descending order.\nAnswer: 3, 1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(78) + sqrt(78))*-2 - sqrt(78))\/sqrt(6).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 924 - 498. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s\/((s\/s**(-1\/9))\/s)*s))*s*s**(1\/5)*s*s\/s**(-2)*s**(-6)\/s*s assuming s is positive.\nAnswer: s**(49\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 0*b**2 + 3*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3023 - -101320?\nAnswer: 43242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (100\/(-30))\/((-2)\/3). Suppose 92 = o*j - 33. Suppose -5*h = -5*r - j, 0 = -3*r + 2*h - 6 - 5. Let x(w) = 8*w**2 - w - 1. Give x(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzz when three letters picked without replacement from {z: 5, h: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**4 + 225*f**3 + 3508 wrt f?\nAnswer: 4*f**3 + 675*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2*h - 32 + 142 = -6*g, 5*g = 3*h + 189 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29427, 58859, 88231, 117549, 146819, 176047, 205239?\nAnswer: 234401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbboobob. What is prob of picking 2 b?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*i - 2917 + 3067 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000221417 rounded to 5 dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -3*p + 4*u, 0 = -p + 2*u + 356 - 369 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/30 + -1\/6. Let c = 6730.3299 - 6730. Let t = c + 0.0701. Sort s, t, 3, -2\/11 in decreasing order.\nAnswer: 3, t, -2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 291 + -203. Suppose -5*q + 85 = 5*y, 2*y + d = 7*y + 4*q. Solve 0*l - 12 = 2*o - 4*l, 3*l - y = -4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23\/3 - 1 - 2. Let d = h + -4. What is the closest to d in -5, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40980647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**2 + u**2 + 2*u**2 + 6*u**2 - 3*u**2 - u**2 + (-2 + u + 2)*(-3*u + 3*u + 2*u) + (3*u - 1 + 1)*(2 - 2 + 2*u).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -65, -74, -89, -110, -137?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*u**3 - 10 + 4 - 4*u**3 - 5*u**3 with respect to u.\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 1588 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g + 12. Let i be u(-5). Let c be -1 - -6 - (-2 - (-4)\/i). Solve -a - 19 = -4*h, 2*a - c*a = -3*h + 12 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/12 + 3 - 4\/(-6). Suppose -2*m + 3*m = -2*s + a, s + 4 = m. Let b(h) = -185*h**3 + 3*h**2 + h. Is b(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -235\/3 in -53, -5\/2, 2?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -15 and 1478583174214.\nAnswer: 1478583174199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(-2\/3)*s))\/s)\/(s*s*s\/(s\/(s**2\/s)*s)))**(17\/4) assuming s is positive.\nAnswer: s**(-119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430518919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 6*z - 2. Let x be r(7). Suppose 13 = x*c - 62. Let g = -3 + c. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + -4 + -1)*-2 + -3.\nAnswer: -14*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1128 = 13*k + 9357. Let d = k + 1275. Round d to the nearest 10.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**4 + 9*t**3 - 3*t**2 - 9*t. Let c(m) = -7*m**4 + 19*m**3 - 6*m**2 - 19*m. Let l(q) = -6*c(q) + 13*f(q). Factor l(k).\nAnswer: 3*k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/19, -1, -29 in descending order.\nAnswer: -6\/19, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 take away 56?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and -77.\nAnswer: 1309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1000090 and -29\/50960.\nAnswer: 8000720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 27*w**2 - 46*w + 316. Give l(-29).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 7:54 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36030, 72060, 108090, 144120?\nAnswer: 180150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 608906051 to the nearest integer?\nAnswer: 24676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 17, b: 2}.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*a + a. Let l be 10*(a + 3 + -3). Let t(z) = -z + 4. Let y be t(-6). Calculate the greatest common divisor of y and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -39*n**5\/5 + 11*n**2\/2 - 3*n + 40. Find the second derivative of j(y) wrt y.\nAnswer: -468*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24105241 (base 7) to base 15.\nAnswer: -2c2ec1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(0 - (-10)\/(-5)). Let q be 1\/((-18)\/(-22)) - 1. Which is the biggest value? (a) q (b) y (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 20*w**3 - 20*w**2 + 5. Let j be (1\/(-1))\/(2\/10). Let h(c) = c**3 + c**2 + 1. Let q be -1 - (208\/13 + -18). Let o(l) = j*h(l) + q*f(l). Factor o(z).\nAnswer: 5*z**2*(3*z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 2*z + 2*z**3 - 2*z**4 - 4*z**2 - 43 + 47 + 2*z as w*z**4 + b*z**3 + l*z**2 + i + v*z and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 527721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241553542 (base 6) to base 11.\nAnswer: -2642994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29123611 and 10648?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 265007600 rounded to the nearest one hundred thousand?\nAnswer: 265000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**5 + 182*t**4 + 2148*t**3 + 9584*t**2 + 17600*t + 9984 = 0.\nAnswer: -78, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - -1 - (1 - 18). Suppose -3*a + u = 4*b, b = -5*a - 3*b + 25. Suppose 9 = -4*f + a*f - y, -4*f + 2*y = -34. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 58 - 1?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 3*z**2 + 13*z - 11. Let t be m(6). Let v = -34 + 59. Calculate the highest common factor of t and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2 + -8 - 27248\/(-3668)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 2 + 2)*(-5 + 4 - 2) - 4*h + 5*h + h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4087 by 169.\nAnswer: -4087\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**3\/2 - 10865*s**2\/2 + 7248*s + 7246 = 0.\nAnswer: -3623, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 327244478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2558 plus 2?\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: c126 (base 14) to base 16\nAnswer: 8186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 793*y + 2376*y - 531*y + 42208 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/9, 13, -5\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 8*b**2 + 39*b + 242. Calculate r(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**2 + 6*o - 6. Let w(l) = -4*l**2 + 5*l - 5. Calculate -5*b(g) + 6*w(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*o + 167 + 493 = -60*o for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.012 in 4, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/24 - 62\/(-42). Let c(p) be the third derivative of p**5\/60 + 5*p**4\/24 + 2*p**3\/3 - p**2. Let t be c(-5). Sort g, t, 0.1 in ascending order.\nAnswer: 0.1, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**4\/4 - y**3\/6 - 2*y**2 - y. Calculate the remainder when t(-5) is divided by 52\/(-7)*189\/(-54).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5121\/12563 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 137, 271, 405, 539, 673?\n\"Answer: 134*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*l + 104 = -1143*l + 570*l + 4*j, 14*j - 140 = 6*l for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 504503 = -5*b, 100897 = 5*b - 6*b + 3*k. Round b to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:17 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16225 - 2748*a - 16224 + 947*a)*(4*a**4 - a**4 - 5*a**4 + 0 + 0 - 2*a**4 + 0*a + 0*a - a**4 + (a - a - 2*a**2)*(a**2 + a**2 - 3*a**2)).\nAnswer: 5403*a**5 - 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = h - 77, 741*b = h + 743*b + 67 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 119*c**5\/60 - 14*c**3\/3 - 5*c**2 - 7. Differentiate g(s) wrt s.\nAnswer: 238*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t**1\/t))\/t)**(-4\/5)*t\/t**(1\/8)*t*(t\/t**(1\/5))\/t)**20)**21 assuming t is positive.\nAnswer: t**(1407\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-4)*(0 - 2). Let m = u - 4. Suppose -l = m*l - 20. 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 31 + (23 - 10) + 24 + -54?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 434440 to the nearest one thousand.\nAnswer: 434000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3648900 rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 1, 579?\nAnswer: 579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111720 by -22344.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 8 = -2*a. Suppose -d - 5 = 0, -5*b - 6*d + d = 100. Let t = a - b. Is t at most -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -20 + (-5 + 6 - -6) - -6\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/30 and -4\/50451.\nAnswer: 504510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) + sqrt(126)\/sqrt(3))\/sqrt(6) + (-2*sqrt(56))\/sqrt(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a**(-14))))**(-18\/11)*((((a\/(a*a\/a**(1\/6)))\/a)\/a*a)\/a)**(1\/3) assuming a is positive.\nAnswer: a**(4025\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*o + 22 + 2, -3*a - 3 = -2*o. Calculate the remainder when 1 + -1 - -21 - -1 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**7\/1470 + n**6\/84 - 5*n**5\/84 + 28*n**2. Let x(z) = 0. What is z?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -0.42, 13, 0.3, 5, 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -71040 rounded to the nearest 1000?\nAnswer: -71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 890293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 - 68*w**2\/7.\nAnswer: 2*w**2*(w - 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-799.\nAnswer: 79.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j - 23. What is the units digit of o(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 15*v**2 + 14*v + 274. Let x be y(-15). Solve t - x = -62 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {e: 2, g: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 6\/5, 44.74.\nAnswer: -2, -1, 6\/5, 44.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, v: 5, w: 3, c: 3}. Give prob of sequence wwva.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(4 - (-21)\/(-6)). Suppose -x*p = -5*w + 16, -5*p + 28 = 5*w - 4*p. Let q(a) = -a**2 - a - 1. Let y be q(-2). Sort y, w, -1 in decreasing order.\nAnswer: w, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 5 = 6*t, -2*t + 20 = 2*c. Solve 10*q + 4 = 7*q - r, q - 22 = -c*r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12433*y**5 + y**4 - 5375*y**2 - 5 wrt y.\nAnswer: 745980*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*k + 170*k + 34 - 34 in the form n + w*k and give w.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/22 + (-42488)\/(-2486). Solve j + 1 = -3*b, -2*b = -5*j + v - 40 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 2*g - 6, -5*b + 10*b - g - 18 = 0. Suppose 49 = 5*c - 3*s, -2 + 11 = -b*s. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -2, -1, 3, -411 in increasing order.\nAnswer: -411, -6, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 plus -1434.89?\nAnswer: -1703.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125134 (base 9) to base 10.\nAnswer: -75928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1157 smaller than -10616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.25 (b) -2\/3 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p - p = 24*p - 1092 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/((-12)\/(-15))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.07042 - -0.07042. Which is the third biggest value? (a) -0.01 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2956202 is divided by 19840?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12228050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Suppose 4*k - 234 = 126. Let v = -87 + k. Let d(y) = -y. Determine v*w(x) - d(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 825*k - 1267. What is the hundreds digit of m(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(40)\/(sqrt(5) + 3*sqrt(5))).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - 11*w**2 - 6*w + 3. Let k be y(-8). Suppose -145 = 2*c + 271. Let u = c + k. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12414 + -12421. Put 2, f, -5, 11 in descending order.\nAnswer: 11, 2, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3, -1\/20, 2\/97, 0?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2856518899 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 0*w - 28 = -5*w, -f - 2*w = -7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1327 - 0?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36531 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2, 2*b - 4*m = -2*b + 88. Is 23 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50188 - -96346. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l. Suppose -4*m - 20 = 2*q, 5*m + q = 6*q + 5. Let x(h) = 4*h. Let d(z) = m*x(z) + 2*i(z). Let j(s) = -s + 0*s + 0*s. What is j(d(y))?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/2 + 5*b**4 - 6*b**3 - 20*b**2 + 32*b = 0 for b.\nAnswer: -2, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 450 + ((-18)\/3)\/(-3). Calculate the greatest common factor of 565 and o.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10)*5*13\/(-52)*-324\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(28)\/sqrt(4)))**2*-4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 12*t**2. Let z(d) = -1134*d + 746. What is z(g(m))?\nAnswer: -13608*m**2 + 746","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(320) - sqrt(320))*-3 - (sqrt(320)*-1 + 2 - sqrt(320)))**2*-2*3.\nAnswer: -122904 + 1536*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*d + 61*d = -8728 + 28286. Which is smaller: d or 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j + 6. Give a(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 83\/4 in -6\/11, -48, 5, 2, 20, 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -1\/766 (c) -0.1 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*v + c, 149*v - 147*v + c = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 2*y - 1. Let l be j(-4). Let g be (-2)\/(-4) + l\/2. Suppose -5*c + o = -6*c + g, 3*c - 5*o = 100. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + c**2 - c - 1. Suppose -j - 2*k - 7 = -19, j = 3*k - 13. Let z(v) = 3*v**3 - 2*v**2 + 2*v + 6. Give j*y(l) + z(l).\nAnswer: l**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 8 = -5*r, 60 + 51 = 3*r - 41*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16208)\/(-9) + 1\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -3*s**6\/40 + s**5\/5 - 13*s**4\/8 - 75*s**2. What is the second derivative of u(h) wrt h?\nAnswer: -54*h + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*z + 6843 - 3359 = 6348 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q = 5*n - 16787, -2*q + 16792 = 5*n. What is the highest common factor of 46 and n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g**3 - g)*(3 + 6 - 30).\nAnswer: -42*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2395 + 5*a + 2395.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*j + 61*j + 14 - 14 - 28*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 9*x + 6. Let p be r(-9). Suppose -p = -c - 1. Let o(m) = m - c*m + 2*m + m. Let l(k) = 3*k. Give o(l(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i - 2090 = 24*i. What is the highest common factor of 38 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 2103220433?\nAnswer: -2103220433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + 9. Calculate the least common multiple of a and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2007241*u*v - 5*v - 15100 wrt u.\nAnswer: -2007241*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3544)\/3101)\/((-156)\/(-21))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -871, -2039, -3217, -4405, -5603?\nAnswer: -6811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30303704471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 45, 50, 59, 72, 89, 110?\n\"Answer: 2*g**2 - g + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*x, -5*j - 5*x - 2230 = -6*j. Let k be ((-12)\/20)\/((-175)\/j). Let t = -0.7 + 0.2. Which is the nearest to k? (a) 3 (b) t (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -6*s + 21 - 50, -s - 5 = -v. Let h = 191\/21 + -9. What is the closest to v in 4, h, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/28692 and -55\/102.\nAnswer: 487764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2975 and 120808.\nAnswer: 359403800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*-10*6\/(-8). Let n = -14 - m. Suppose -31 = -3*f - n. Solve 4*u + 5*c = 20, -3*c + f + 2 = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**3 + 38*q**2 - 150*q + 145. Determine x(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -80\/297 and -119\/108.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -9 - (5 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 5*f = 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 11, 32\/7, -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/213974 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -14. What is the closest to s in -1\/5, -0.1, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.05 and -1502.\nAnswer: -1503.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/15, -2\/13, 4\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v + 28. Calculate a(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 95 = -9*w. Let l be w\/5 + (-6)\/(-30). Sort 1, -2, l in ascending order.\nAnswer: -2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 613737 and 1701.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 189*m. Let c(x) = 22257*x**2. Determine c(v(h)).\nAnswer: 795042297*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7) + -1*sqrt(14)\/sqrt(2))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r\/(r**10*r)))\/(r*r**(-14)))\/(((r\/(r\/r**(2\/33)))\/r)\/(r**(1\/2)*r)))**(-3\/26) assuming r is positive.\nAnswer: r**(-1679\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 181\/9452?\nAnswer: 181\/9452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -349805029*t**3 - 430*t**2 - 12883*t wrt t?\nAnswer: -2098830174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2682 centimeters in kilometers?\nAnswer: 0.000012682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/(-651) + (-10703)\/(-294) + -3*(-7)\/(-14).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*w + 9*y + 40, 2*w + 65 = 5*y. Suppose -5*i - 25 = -0*i. Let k = w - i. Is -2 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1649 + -1702 + 1 + 71.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.1491?\nAnswer: 0.07455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -39. List the prime factors of c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 12:25 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3945552263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18701 + -9044. Is o a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*s = 72*s - 119 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*l + 48327 + 352138 = 0. List the prime factors of l.\nAnswer: 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/22)\/(2390\/(-1434)*(-3)\/(-55)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 171870 and 859350.\nAnswer: 859350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5913\/41 in 1\/2, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601047561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioioinioioooioionn. Give prob of sequence in.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 85 = 3*v - 3*g, -4*v - 4*g + 76 = 0. Suppose 2*n = 3*n - 161. What is the highest common divisor of v and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2199 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-6\/11)\/v))\/((v**0\/v*v)\/v) assuming v is positive.\nAnswer: v**(39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 212*m - 53 - 90*m - 121*m + 8. What is n(37)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-396)\/18 - 393\/(-18))*54.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -7.9. Let u = -575 - -575.1. Which is the third smallest value? (a) o (b) -2\/7 (c) u (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**3 - 141*l**2 - 998*l + 28756. Calculate k(28).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147040618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 466070 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 51*c = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, c: 2, a: 8}. What is prob of sequence amc?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.08 + 9. Let z = o + 0.48. What is the closest to -0.1 in -5\/3, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1284, 10591, 35848, 85029, 166108?\n\"Answer: 1329*c**3 + c**2 + c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (1 - (3 - (5 - -4)) - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56183 less than 7822.6061?\nAnswer: -48360.3939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 20 = -5*n, 4*n = 5*o - 15 + 76. Let z = n - 7. Solve -3*v + 4*j = 20, -5*v - 5*j - 14 = -z*j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -235 - -237. Let i = 32.4 - 32. What is the closest to 0.2 in -0.8, i, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144080 by -2.\nAnswer: 72040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 4:10 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = r + 2*r. Factor -6\/7*w + 2\/7 - 2\/7*w**r + 6\/7*w**2.\nAnswer: -2*(w - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 38595, -2, -50.\nAnswer: -50, -2, 2, 38595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 732 - 29.02.\nAnswer: 702.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 170c652 - -5?\nAnswer: 170c657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1601*10.8.\nAnswer: 1.72908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**4 + 0*n**2 + 0*n**2)*(6 + 6 + 5) to k*n + b*n**4 + m + z*n**2 + p*n**3 and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 648 by 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -236 + 11. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {h: 3, x: 3, e: 6, l: 5}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b55 + -7?\nAnswer: 4b4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/42)\/(5\/35).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-14)\/(g**4\/(((g*g**5)\/g)\/g))*(((((g**(-1\/7)*g)\/g*g)\/g)\/g)\/(g\/g**(4\/3)))\/(g\/((g\/(g**(-2\/7)\/g))\/g)*g**1) assuming g is positive.\nAnswer: g**(-326\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11376372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15647, 62465, 140495, 249737, 390191, 561857?\n\"Answer: 15606*f**2 + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4*h + 40, -3*x - 5*h + 44 = -x. Let m = -51 + 95. Calculate the least common multiple of x and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23182220*d**3*l**2 + l**2 + l - 92815 wrt d?\nAnswer: 69546660*d**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - p - 4. Let g be w(3). Let b(d) = g*d + 0*d + 1 - 3*d. Determine b(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h. Suppose 0 = -5*n + 4*i + 1 + 29, 2*n = 4*i + 24. Find the third derivative of h*d**3 + 0*d**3 + 3*d**3 + 2*d**n wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t. Let y(l) = 8*l. Let i(z) = -6*s(z) + y(z). Let c(m) be the first derivative of 5*m**2\/2 - 2. Give i(c(k)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 330 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 (-63 - -61) + 1 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4369*r**2 - 122333*r - 45. Give l(-28).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389124*m**3 + 389344*m**3 - m - 778467*m**3 + m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 8*w**2 + 1 + 0 + 1 - 9*w + 3. Let y be r(9). Suppose -47 = -6*o - y. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 9:38 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -549\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54747 is divided by 277?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 1672*f + 3328.\nAnswer: 4*(f - 416)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40010655 by -1255.\nAnswer: 31881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i + 30 = 4*z, -4*i = -3*z - 115. Let w be 140\/i + 2\/5. Suppose -3*d + 4*d - w = 0. Calculate the remainder when 22 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1457 + 389?\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -232389777484 less than -4365?\nAnswer: 232389773119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (37 - 37) + (-1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -408\/107 (b) -16\/9 (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -955 times 11869\nAnswer: -11334895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 115479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 34*c**2 + 17*c - 9. Let b(p) = -12*p**2 - 6*p + 3. Let z(g) = 11*b(g) + 4*h(g). Let u be z(-2). Solve -5*k = 5*i - 35, 3*k + 0*i + u = 3*i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -6, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 - 15*w + 5*w + 9*w + 2*w**2 - 1. Let x(t) = t**2. Calculate f(v) + 2*x(v).\nAnswer: v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 126*n**2 + 75*n + 217. What is the tens digit of k(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f - 3*t + 1, 3*f - 17 = 5*t. What is the second derivative of -r + 3*r - f*r**2 - 3*r + 3*r wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 168 = 114 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 5315?\nAnswer: 5306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - t - 1600, -2*t = -4*n + n + 1601. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, k: 9}. Give prob of sequence skk.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 94 (b) -5 (c) 52 (d) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h, -2*w + 7*w + h = 430776. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 divided by 4?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 10*u + 20460 = 0. List the prime factors of u.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4034 or -16135\/4?\nAnswer: -4034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((q\/q**(-8)*q)\/q))*q**(2\/23)\/q)\/(q**(-23\/4)\/((q\/((q\/q**(-33))\/q))\/q)) assuming q is positive.\nAnswer: q**(-1763\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5594, -11185, -16776, -22367, -27958, -33549?\n\"Answer: -5591*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z. Suppose -4*v - 3542 + 342 = z. Round v to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17) + sqrt(34)\/sqrt(2) - (sqrt(136) - sqrt(136)*1 - sqrt(136))\/sqrt(8)) + sqrt(136)\/(sqrt(64)\/(sqrt(16)\/sqrt(2))) + -4.\nAnswer: -4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27209499 rounded to three dps?\nAnswer: -0.272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -1, 2, -1298, -83428 in increasing order.\nAnswer: -83428, -1298, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -56763.\nAnswer: -1\/18921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24921 + 1?\nAnswer: 24922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (147 - 148) + -1 + -3 - (22 - 0).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 7*p**3 + 8*p + 3*p**3 - p**3.\nAnswer: -5*p**3 + 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*(-1 - 0). Let n be 1\/(-5)*(1 + 0). Let w = -217237 + 217236.9. What is the closest to s in -5\/6, w, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30175, -30208, -30301, -30484, -30787, -31240?\nAnswer: -31873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 + 14)*(-50 - 41*v + 50) in the form i + s*v and give s.\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x**2 - 4031*x - 8055. Give j(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4795 and 35620.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 11*h + 11. Let l be k(10). What is the highest common factor of 4 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-6 - 2)*(-19)\/(-38).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 17. Let w(y) = 16*y**f + 4 + 8*y - 21*y - 9 - y**3. Is 4 a factor of w(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -12*b. Let a(l) = 12*l. Let d(i) = -6*a(i) - 5*u(i). Let g(o) be the first derivative of -o**2\/2 + 29. Give g(d(t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/232 and -22\/667.\nAnswer: 5336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -14*p + 4*p + 780351, -2*p + 156075 = 5*f. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -7, -5, -4, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*(3*q - q**2 - 3*q) + 33 - 33 + 5*q**2 to n + a*q**2 + w*q and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/1408 and 169\/297528?\nAnswer: 4760448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1362652 (base 7) to base 3\nAnswer: -100022201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1456138 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 127*u**3 + 107 - 52.\nAnswer: 127*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 29. Sort 7, w, -3 in decreasing order.\nAnswer: 7, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*o + 56. Let j = o + -23. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110000100100 (base 2) to base 13\nAnswer: 51b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -42669.0852 to the nearest ten.\nAnswer: -42670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 + -32. Let m = -44 + f. Suppose 0 = m*z + 3*d - 2643, -z + 4*d + 885 = 6*d. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3898*i - 7 = 3899*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.22 + -9.12. Let a = -10.3 + 0.3. Let l = 4 + a. Put z, l, -5, -0.5 in decreasing order.\nAnswer: z, -0.5, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.2999981 + 5.3. Round q to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -21. Suppose -9 = q - 4*q, 4*z - t*q = -40. Let r(g) = 2*g + 24. What is the remainder when 16 is divided by r(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11230 (base 4) to base 2\nAnswer: -101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x + 3*x - 3*x. Let s(o) = -5*o**2 + 4*o + 8. Let b(h) = -85*h**2 + 70*h + 140. Let d(w) = 4*b(w) - 70*s(w). What is i(d(q))?\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6336210?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2765 divided by -44?\nAnswer: -2765\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*u + 37*u - 19*u)*(u + u - 3 + 2*u) to the form r*u**2 + d*u + a and give r.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -346*y. Let n(m) = 432*m**2 + 2. Determine a(n(d)).\nAnswer: -149472*d**2 - 692","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 223\/256 + 1\/256. Let f(m) be the first derivative of -1\/2*m - t*m**2 - 5\/16*m**4 - 1\/20*m**5 - 7 - 3\/4*m**3. Determine s so that f(s) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*m*s**2*z + 46*m*s - 3234*m*z - 2*m - s**2*z + 285*s**2 - 1 wrt s?\nAnswer: 8*m*s*z + 46*m - 2*s*z + 570*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 86*m - 82. Let l(d) = -85*d + 81. Let u = 142 - 147. Let v(g) = u*l(g) - 6*b(g). What is the derivative of v(p) wrt p?\nAnswer: -91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.290647637 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 1 - 6. Let l(i) be the third derivative of 1\/60*i**5 + 7\/6*i**3 - 2*i**2 + 7\/24*i**4 + 0*i + 0. Give l(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4623384 to four decimal places.\nAnswer: 0.4623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 128 - 114. Let y be -6 + 6 - (-1 + -2 - w). Solve 0 = -j - 3*p - 6, p = -j + 3 - y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28742 + 18010. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzyyzyz. What is prob of sequence yzzz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10670905.\nAnswer: 5, 7, 304883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -601165120?\nAnswer: 601165125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4298205681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 2 = 7*h. Suppose -h*l - 5*m + 24 = -9*m, 4*l = m + 13. Sort 45, l, -2 in decreasing order.\nAnswer: 45, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 15 - 3*d + 4*d)*(6 - 6 + 5*d) + (12*d - 19*d - 15*d)*(3*d - 2*d - 3*d) in the form k*d**2 + m*d + q and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/2391, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 31 = 2*t, 2*o - 17 = -t - 3. Suppose -3*x + x = -t. Calculate the remainder when 29 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -361.5409.\nAnswer: 359.5409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -351\/10. Let u = 1003\/15 - 67. What is the third smallest value in r, -0.2, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/7 + 92680\/245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 6*o + 4. Let g = 0 + -6. Let b be s(g). Suppose 0 = 2*n + 5*i - 133, 9*i - 310 = -5*n + b*i. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -799 - -800.569. Let t = -1.6573 + c. What is t rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32344 + -970417\/30. Find the common denominator of -97\/12 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 6 = -5*k, -k + 8 = -4*c + 2*k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 2*l + 4*l + 35700, -x + 7140 = -2*l. What is the tens digit of (-36)\/(-10)*(x\/(-8))\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 7:33 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65752\/3 - 21917. What is the closest to m in -3.94, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5 + 1467*j**4 + 546000*j**3 + 5829824*j**2 = 0. Calculate j.\nAnswer: -728, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in 1.9, -93, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1827, 2 in decreasing order.\nAnswer: 4, 2, -1827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 3, 0.16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -2433527103154.\nAnswer: -2433527103149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = s - 52, 2*w - 6*w - 48 = -4*s. Let n be (1\/2*w)\/(-1). Suppose -111 + 26 = -n*m. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.8 - -10.6. Let y = 3.5 - 7.5. Which is the closest to g? (a) 6 (b) y (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + 0. Let x be (-5 + 2)\/((-1)\/(-7)). Let b = x - -30. What is the remainder when z is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 80*u + 399. Let z be r(-5). Which is smaller: z or -638?\nAnswer: -638","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.066 in 692, -2, -2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27605658 a multiple of 1776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 640 and 8999040?\nAnswer: 8999040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-5)*(f\/(f\/(f*f**0*f)))\/f)\/(f**(2\/15))**34 assuming f is positive.\nAnswer: f**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - -4*2\/(-8). Suppose z - l - 3 = 0. Suppose -3*x - 3*n = 64800003, x - 107999996 = z*x - 4*n. What is x rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 4*v + 4*v)*(0 + 3 - 5 - 4 + 6 - 1 + (1 - 1 - 1)*(2 - 4 + 4) - 2 + 4 - 4 + 3 - 2 + 1 + 129 - 129 + 422)*(5 - 1 + 7).\nAnswer: 9218*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 27573661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (3 + -3 + 7) - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 81 = -3*h + 29843, 5*v = -5*h + 49955. List the prime factors of h.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 < 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 1\/6 (b) -1.5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - v = 5, -20 = -0*i - 3*i + 4*v. Suppose i = -3*b + 7*b - 16. What is the units digit of (-10)\/(-6) + b\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(112) + sqrt(450).\nAnswer: 61*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 330*a. Let o(r) = 2*r**2 + 11. Let w(z) = -z**2 - 6. Let x(h) = 6*o(h) + 11*w(h). Calculate x(f(n)).\nAnswer: 108900*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20053 is divided by 8525.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -535 + 555. Solve -b*p - 36 = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - 40. Let a(v) = -12*v**2 + f*v - 7*v**2 - 19*v. Suppose -5*o - 4*u = 0, -o + 2*u = 4*o + 30. Let n(j) = -9*j**2. Give o*a(i) + 9*n(i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-15)\/(-12) - (-1647)\/(-3060) and -87\/170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*q**4\/7 - 40*q**3\/7 + 24*q**2\/7 = 0. Calculate q.\nAnswer: 0, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-1))\/(470\/188)*(-5)\/((-10)\/8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 minutes before 11:18 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 14382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47940311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 923 - 887 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -121*y + 9658 - 7117. Solve y*b - 42 = 7*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 5:41 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/9? (a) 1 (b) -2 (c) 2 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2 + 100 - 52 - 8*z - 42 = 0. Calculate z.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -9 - (0 - -6) - -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 22*v**2 - 3*v - 3. What is the units digit of d(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3, -0.2, 2\/11, 29\/5, -1\/7?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*p = 6 - 2, 4*p + 12 = -2*o. Let d be (-3)\/o*(-2)\/(-5). Suppose -2*w = 2*w + 20. What is the second smallest value in w, d, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-4))\/((-5)\/40). Suppose -2*y = -y - a. Suppose y*t - t = -2. Which is smaller: -5\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -30*r - 75. Calculate p(-1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/20 - (-98)\/10. Suppose a = 5*q - 15. Put q, 0, -1\/2 in decreasing order.\nAnswer: q, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 572384 by -2.\nAnswer: -286192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -244977 < -244972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b119 (base 12) to base 7.\nAnswer: -106620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = 5*v - 11. Let a = v + 28. Suppose -4*y + 2439 + 2587 = -t, 3*t = -a*y + 6291. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 5e0cb (base 16) to base 5.\nAnswer: 44311402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2)\/((-49)\/(2695\/10))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8657, 31, -3, -14 in descending order.\nAnswer: 8657, 31, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Let k be 3 + (-5 + 4 - -1). Solve p*f + 15 = -k*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3186*v**2 - 210*v**2 + 681*v**2 + 207*v**2 + 919*v**2.\nAnswer: 4783*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w - 12. Let c(l) = -6*l - 26. Let d(a) = 9*b(a) - 4*c(a). Let v(y) = -3 - 6 - 3*y - 4*y. Give 5*d(o) - 2*v(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**5\/5 - 1857*y**4\/5 + 383778*y**3\/5 - 26607372*y**2\/5 + 26225448*y\/5 = 0.\nAnswer: 0, 1, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/3312 and 19\/92736?\nAnswer: 92736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -72*t + 4992. Let w be l(69). Solve 4*b = -3*a - 5 + w, 3*a + 2*b - 17 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**3 + 107*z**2 + 53*z - 20. List the prime factors of k(-32).\nAnswer: 2, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**2 + i. Let t be x(-1). Let o be (t - 4)\/((-2)\/10). Let a(h) = h**2 - 3*h + 3. Is a(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - -0.16. Let u = -2.92 - x. Sort u, -1\/4, 0.3.\nAnswer: u, -1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 1225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*o**5 + 4084185*o**4 - 865*o - 36134 wrt o.\nAnswer: 680*o**3 + 49010220*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*sqrt(33)\/(sqrt(22)\/sqrt(2)).\nAnswer: -3*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -258?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 28*t. Calculate h(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**2 + 9*i**2 + 8*i**2 + 3*i**2 - 11*i**2.\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2431774, -4863559, -7295344, -9727129, -12158914?\nAnswer: -14590699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -504 + 180. Calculate the lowest common multiple of 6 and x.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 4*y**2 + 197*y + 1422. Calculate q(-8).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2291, 2293, 2295, 2297, 2299?\n\"Answer: 2*h + 2289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 109*d**2 - d**3 + 653 + 1459*d**2 - d**3 + 4078 wrt d.\nAnswer: -6*d**2 + 3136*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:40 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19639001, 39277970, 58916937, 78555902?\n\"Answer: -g**2 + 19638972*g + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/(14\/(-168)). Find the third derivative of -15*c**i - 10*c**2 + 292*c**3 - 292*c**3 wrt c.\nAnswer: -360*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133 - -133.5. Let n be (18 - 18) + 10\/2. Which is the smallest value? (a) q (b) 2 (c) n (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2065 - -2064.6. Which is the third smallest value? (a) 8 (b) 0 (c) 3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j*s**4 + 17743*j*s**2 - 2*j*s + 8928*j - s**4 - 2*s wrt s?\nAnswer: 24*j*s**2 + 35486*j - 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/3 + p**3\/3 - p**2 - p\/3 + 2\/3.\nAnswer: (p - 1)**2*(p + 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 6*j + 9. Let x be a(7). Let t(n) = 3 - 7 - n - x. What is t(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuuuuuuw. What is prob of picking 1 w and 2 u?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -1, -21, 3, -2, -4, -3 in descending order.\nAnswer: 56, 3, -1, -2, -3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83*f**3*r**3 - 21546*f**3*r**2 - f**3*r - 39*f**2*r**2 - 2*f**2*r + 3145937*f*r**5 - 3*f wrt r.\nAnswer: -498*f**3 + 188756220*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**7\/420 + u**6\/60 - u**5\/20 + u**4\/12 - u**3 + 5. Let y(c) be the third derivative of w(c). Let y(z) = 0. Calculate z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1161)\/(-18))\/((-3)\/(-10)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99854341\/1385 + -72097. Is n less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a factor of 17750856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*v + 11. Let l = -2 - -1. What are the prime factors of 6\/(l + (v - 1))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 564.3533m to kilometers.\nAnswer: 0.5643533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/39*((-44)\/(-16) + 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - 0) + -253 + 254?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*n = 5*g - 20, 0 = 3*g + 3*n - 15. Suppose h - g*h = -20. Let k(c) = 25*c - 120. Let f be k(5). Solve f*i + 3*l = 7*l + 29, l = h*i - 26 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 5*l + 19 = 0, -72*o + 76 = -16*o - 4*l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4299784 to the power of 1\/2, to the nearest integer?\nAnswer: 2074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -207102.5001 rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -41. Suppose 4*p + 3*n - 112 = 0, -5*p = y*n - 158 + 18. Solve 0 = u + 6*u + p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-105)*(-5)\/((-120)\/(-9))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 6*l**2 - 1 + 4*l**2)*(0*l - 3*l - 3*l)*(-1 - 4 + 3) in the form v*l + g + h*l**2 + z*l**3 and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 60*h + 7. Let u(n) = n + 1. Let w(s) = -l(s) + u(s). What is the units digit of w(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 + b**3 - 9*b**3)*(-17605*b - 16*b**2 + 17605*b - 3).\nAnswer: 176*b**5 + 33*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r - 28*r + 8*r + 6*r + 178 + 11*r.\nAnswer: 10*r + 178","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/24*-4*(384 - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*u - 293480, 8 = 3*u - 4. What is m rounded to the nearest one thousand?\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -451151503 (base 6) to base 5.\nAnswer: -4043220310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -127 - -132. Suppose b*i = -6 - 9, 4*i - 28 = -4*m. Let u(k) = k - 17. Give u(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 8:13 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-4) + 0)\/(-37 - -40). Which is the second biggest value? (a) 9 (b) i (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3548 + 14261\/4. Calculate the common denominator of 71\/20 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*z = 2*r + 40*z - 1720, -4*r - 5*z = -3454. What is the remainder when r is divided by 179?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2*o = -18, 5*k - o - o + 30 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**4 + 3052*k**3 - 6124*k**2 - 3052*k + 6120 = 0.\nAnswer: -765, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -1\/9, -10 in descending order.\nAnswer: 27, -1\/9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3 (b) 1 (c) -2\/41 (d) -0.5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -55711780886 and 0.2.\nAnswer: -55711780885.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (33 - (-52 - -81) - (-7 + 3 + -4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0.5 (c) -491 (d) -0.04 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6297*d**5 - 104*d**2 - d**4 + 6300*d**5 - 23*d**2 - 2*d**4 wrt d?\nAnswer: 180*d**2 - 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1567\/4 - 391. Put -0.2, -10.8, l, -1\/6 in decreasing order.\nAnswer: l, -1\/6, -0.2, -10.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**3 - 5*v**2 + 17. Give h(4).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*i**3 - 14*i**3 + 31*i**3 - 71*i**3.\nAnswer: -85*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2 - 2*p - 7. Let i(f) = f**2 + 1. Let j(y) = c(y) + 2*i(y). What is the units digit of j(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 965887 is divided by 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 214790243.8 or -0.1?\nAnswer: 214790243.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 1316 - 1304 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 148.26719 to one decimal place.\nAnswer: 148.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -2818?\nAnswer: -2814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2 = 18. Is x at least 15\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3890 is divided by 3868?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 3807?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-94)\/3)\/((-12)\/(-18)). Let m = -18 - l. Suppose 0 = o + 5*i - 7, -3*o = o + 4*i - 44. What is the remainder when m is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -14*p - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 11319240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 2\/17, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61837 (base 12) to base 11.\nAnswer: 87743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 22, 321.\nAnswer: -38, 22, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 2*g. Let p(i) = 6*i**2 - 11*i. Let b = -33 - -44. Let y(l) = b*q(l) - 2*p(l). Let v(h) = 43*h. Give v(y(w)).\nAnswer: -43*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/25 in -6, 3, 2, -2\/183, 24.6?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*y + 83*y = 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -30.608+6.9399\nAnswer: -23.6681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000064 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 9:54 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 21666*v + 43322. Determine a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5426873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99\/17812 + 2517427\/935130. Let h = 1\/60 + l. What is the common denominator of h and 121\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - p. Let u(x) = -2*x**3 + 6*x**2 - 7*x. Determine -5*o(w) + u(w).\nAnswer: -2*w**3 + w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2448 + -714?\nAnswer: 1634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcpg when four letters picked without replacement from hfjfgjhcpfcc?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + n**2 + 12*n + 6. Let j be t(-3). Let r = j - 31. Find the second derivative of 2*y - 14*y**3 + 21*y - r*y wrt y.\nAnswer: -84*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 3 + m**4 - 37*m**4 + 3 - 5 to y + w*m + a*m**3 + d*m**2 + k*m**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12845127 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -100*g**7\/21 + g**6\/15 + 17*g**3 - g**2 - 181*g. What is the second derivative of m(o) wrt o?\nAnswer: -4000*o**3 + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, 6\/11, 2\/135343, -3\/10?\nAnswer: 2\/135343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 8 = 0, 7*r - w - 20 = 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189690129 is divided by 341?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-336)\/(-224))\/(3\/(-23602)*-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z - 11. Let x be h(0). Suppose -25 = -r + 2. Let j = x + r. What is the greatest common divisor of j and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -40 - 46 + 87 - l. Let z be t(1). Suppose 6*u - 111 - 507 = z. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erir when four letters picked without replacement from oirikrorperer?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1293*q - 116. Is z(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32005 is divided by 10664?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 41 = 9. Suppose -3*p + p = -i. Is (-6)\/(-2)*p\/6 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*a**3 + 291*a**3 - 376*a**3 + 2 - 2.\nAnswer: 25*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/31 at most as big as 0.647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3445 and 25?\nAnswer: 17225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - v + 5*v + 1628 = 0, 3*v = 0. Is q a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 11732591 = 2617409. Round g to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 201 + -198. Suppose 2*k = 0, -a + g - 1 = 3*k. Put 1, -4, a in decreasing order.\nAnswer: a, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.034 (b) -0.4 (c) 9 (d) 4 (e) 3 (f) -2\/9 (g) -11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - -17. Suppose 26*y = 28*y + h. Let g = 142 + y. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86*i + 24*i - 43*i)*(3*i**2 + 0*i**2 - 2*i**2 - 2*i**2 + 2 - 2 + (i**2 - 4*i**2 + 2*i**2)*(4 - 2 + 0)).\nAnswer: -201*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*g + 500 = -112*g - 4080 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 34656?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 178247 + -106108. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjjjjjlqj. Give prob of picking 2 j.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -167, -166, -165, -164?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2*u - 1\/2*u**2 - 1 = 0. What is u?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -377 - -745. Calculate the remainder when u is divided by 181.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 a, 1 q, and 1 k when four letters picked without replacement from {k: 1, a: 5, c: 1, q: 3, l: 1, f: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 9*h**2 + 4*h - 7. Let f(x) = x**3 - 10*x**2 - 3*x + 8. Suppose -b = b + 8. Let g(a) = b*m(a) - 3*f(a). What is g(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9697 and 0.3.\nAnswer: -2909.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-one halves of a century?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f**2 + 22*f - 53. Let j(q) = 32*q**2 + 92*q - 214. What is -6*j(r) + 25*l(r)?\nAnswer: 8*r**2 - 2*r - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2070\/207)\/((-2)\/2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 15*y**2 - 12*y + 32. Let k be w(-14). Factor 0*n**k + 4*n**5 - 2*n + 8*n**2 - 4*n**4 - 2*n**5 - 4*n**2.\nAnswer: 2*n*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52 - -52)*(-7)\/35 - 1\/(-44).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -15*x - 7. Let l(j) = -29*j - 13. Let m(z) = -6*l(z) + 11*n(z). Let h(r) = -r - 2. Let b be h(-5). Is 10 a factor of m(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 6:03 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 228 - 224. Which is the closest to -0.27? (a) -0.4 (b) 0.4 (c) -18 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 1 = -w, 3*k - 519*w + 524*w + 5 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 10 = 3*b, 5*b + 5*o - 22 = 2*o. Suppose 5*j + 46 = 5*w + 276, w = -5*j + 230. Let l = b + j. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 4*z - 3*z)*(0 - 2 + 0) + (-3 + 2 + 3)*(4*z - 5*z - z) to the form n + x*z and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 4*s = 2*y - 1368, -834 = 3*y - 2*s. Let o be (-29)\/3 + (-24)\/(-36). What is the units digit of (3\/o)\/(2\/y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 0, l + 4 - 2 = -x - 1 + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -12*w**2 - 10*w - w**3 + 10 + 22 + 29*w. Let j be a(-14). Suppose -222 = -2*l + j. List the prime factors of l.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 197543654?\nAnswer: 592630962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 10*q**2 - 29*q + 81. Let t be w(9). Sort -2, -1, t in ascending order.\nAnswer: t, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 12) + 13 + (-148)\/(-8)*28. What is the highest common divisor of 275 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05478 + 0.054. Round j to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11840\/(-230880))\/((-2)\/(-4)).\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439983729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 t when three letters picked without replacement from {t: 2, k: 1, a: 3, b: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - 2*a - 14. Let f(w) be the third derivative of -w**5\/60 + w**4\/24 + 5*w**3\/6 - 8*w**2. Give -8*f(r) - 3*q(r).\nAnswer: 2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2761 times 22564?\nAnswer: -62299204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5059566\/23 at least as big as 219981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 + 3*c**4 + 0*c**4)*(1 + 0 + 1) + c - c + 2*c**4.\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14833\/(-5) - 18\/(-30). Let i = -17749\/6 - s. Let b = 2194 - 17527\/8. Find the common denominator of b and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 52*u**2 + 87*u - 2788. List the prime factors of s(23).\nAnswer: 3, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -16*y + 63. Let b be d(3). What is the derivative of -b*f**2 - 45*f**2 - 30 - 8*f**2 + 2*f**4 - 46 wrt f?\nAnswer: 8*f**3 - 136*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 71*u - 1253. What is h(35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 10011010101?\nAnswer: 10011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a micrometer in nanometers?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6168)\/16)\/(4\/8). Let u = f + 773. Solve 0 = -3*j - n + 3*n + 10, 4*n - u = -5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 207.377 + -0.377. Let h = l + -204. Which is the third smallest value? (a) -5 (b) h (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-1)\/sqrt(7) + sqrt(17) + (-2*sqrt(1377))**2 + sqrt(17) + (-1*sqrt(17)*1 - sqrt(68)\/(sqrt(16)\/sqrt(4))) + 0.\nAnswer: -sqrt(17) + 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hevhleheehvheehhe. What is prob of picking 1 h and 1 v?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -1\/3 (c) 15 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 761502 by -6.\nAnswer: -126917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-6)*b)\/b*b**(1\/2)*b**3\/(b*b\/(b\/(b*b\/((b*b**(-1\/3)*b)\/b)))))\/((b**(-2)*b*b**(-4\/7)\/b*b*b)\/(b**(2\/3)*b)**(15\/2)) assuming b is positive.\nAnswer: b**(467\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 178?\nAnswer: -178.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4)**(-3\/37)*(p**(-19))**(-4\/21) assuming p is positive.\nAnswer: p**(2560\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 4*y**2 - 6*y - 6. Let h be p(-6). Let a = h + 28. Let g = 3 - a. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 1\/3*x**3 + 10 + x + 1\/2*x**2. Calculate the smallest common multiple of 6 and g(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (64\/80)\/(4\/850). Suppose k = 3*k - f. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 919, 1830, 2741, 3652, 4563, 5474?\n\"Answer: 911*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*t = -119*t - 48 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -39*f - 72. Determine p(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*(-2 + 0 + sqrt(832))*6)**2.\nAnswer: -18432*sqrt(13) + 481536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1968950 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1781 - 1785 = -b, -r = b + 2. Let z be (-1)\/(-2)*-2 - -6. Let s(k) = z*k - 5*k - 6*k + 4. Calculate s(r).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.57943804 to 1 dp.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, u: 2}. Give prob of picking 3 x.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27260 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n - 8*n - 2 - n)*((3*n**2 + 2*n**2 - 3*n**2)*(-4 + 4 + 4) - 20*n**2 - 7*n**2 - 10*n**2)*(-2*n + 2*n - n**2).\nAnswer: -29*n**5 - 58*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-54)\/(-4)*35\/(70\/48) and 36?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 42*d + 3143. Give r(-75).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -71 times 10721.6\nAnswer: -761233.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33178 is divided by 43.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8610 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.32992 times 18.64\nAnswer: -43.4297088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 9:42 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2094458*u = 2094224*u + 2106 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6000828295 to the nearest integer?\nAnswer: 1817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/8*(16\/(-12))\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10\/33 - 1. Calculate the common denominator of b and 61\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 6:35 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -918880a (base 11) in base 3?\nAnswer: -1010112202122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 965*x + 72376. Calculate f(-75).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {f: 5, y: 3, c: 7, m: 1, x: 2, o: 2}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 + 49 - 27 + g)*(0*g + 3*g - 2*g).\nAnswer: g**2 + 85*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x. Let j be f(-2). Suppose 71 = j*m - 111. What is the units digit of m\/39 - 2\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idx when three letters picked without replacement from {r: 3, t: 2, x: 1, i: 3, k: 2, d: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60 or 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2502, 2501, 2500, 2499?\n\"Answer: -u + 2503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2157926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 258312, 517248, 776184?\n\"Answer: 258936*h - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(729)*-2*5*1)\/((sqrt(3) + 3*sqrt(9)\/sqrt(3))*6*-5).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 855*g - 24974. Give i(29).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 l, and 1 b when four letters picked without replacement from bsssslllvlbbsulsbssl.\nAnswer: 224\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7400397 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 460 by 161.\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 182*v**2 + 14*v - 4. Let b(o) = 544*o**2 + 37*o - 12. Give -3*b(j) + 8*x(j).\nAnswer: -176*j**2 + j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -118) + (-55 - -13) + -38.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(0 + -1) - (29 + -30). What is the tens digit of ((-2)\/4)\/(d - (-258)\/(-128))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -528 - -872. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 14 - 2. Let x(l) be the first derivative of -l**2\/2 + l - 2. Let g be x(1). Solve h*k + g = 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6325644.\nAnswer: 2, 3, 13, 23, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42120318694 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**3 - 4*g - 3 - g**3 + 0 - 24*g + 10*g to the form u*g**2 + t + z*g**3 + m*g and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10122 is divided by 123.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228690*d**2 + 457398*d**2 - 228698*d**2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 4, 21, -101?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 2*u**2 - 1. Let p be a(3). Suppose 0 = 6*q - 81 + 3. Let d = q + p. What is the closest to 0.1 in -4, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -12*w**3 - 717*w**2 - 707*w - 1. Determine q(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -0.4, 36, 4, 5, -0.3, 1\/23?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r + 39 = -33*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 30 - 0. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 5:48 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -181 - -488. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v. Let j(h) = 3*h**2 + 13 + 2*h**2 - 4*h**2 + 6*h**2 + 15*h**2. Give s(j(g)).\nAnswer: -22*g**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t + 4*t**3 - 7*t**3 + 12*t**3 + (5*t**2 - t**3 - 5*t**2)*(2 + 0 + 0).\nAnswer: 7*t**3 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q - 12. Let z(g) = -g - 2. Let n(c) = -o(c) + 6*z(c). Let f(j) be the first derivative of -7*j**3\/3 - 3*j**2 + 5. Determine n(f(s)).\nAnswer: 14*s**2 + 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 13*n**2 + n - 8. Let y be j(13). Suppose -2 = -b, -2*f = -y*b - 187 + 53. Let l = -51 + f. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-135)\/18)\/(2\/(-16)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 + 69*q - 512. Determine k(-28).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*(x\/(x*(x*x*x**(-4\/7))\/x))\/x))\/x)**(-2\/199)\/((x*x**(-7)*x)\/(((((x*x\/(x\/x**(5\/2))*x*x)\/x)\/x)\/x)\/x*x)) assuming x is positive.\nAnswer: x**(20883\/2786)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -128365*x + 203887.\nAnswer: -128365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 greater than or equal to -200810?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = t + 3. Let j = 57 - 48. Suppose -j*x + 7*x = -442. What is the highest common factor of x and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28902544 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10444082, -20888153, -31332224?\n\"Answer: -10444071*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + j + 2. Let v(m) = m**2 - 1. Let t = 25 + -26. Determine t*g(n) - 2*v(n).\nAnswer: -3*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 584*o**2 - 46468*o + 246440.\nAnswer: 4*(o - 202)*(o - 5)*(o + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135206 (base 12) to base 3.\nAnswer: 121020220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 m when three letters picked without replacement from ymmy?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-7)*(-721)\/103.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 880*i**2 + 18*i + 801*i**2 - 18*i to the form t + p*i**2 + y*i and give p.\nAnswer: 1681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5411 or 10871?\nAnswer: 5411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 4*s - 170. Calculate the remainder when s is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(((-6)\/4)\/(-3)). Let a(k) be the first derivative of -k**7\/840 + k**4\/24 - 28*k**3\/3 + 5. Let c(y) be the third derivative of a(y). Determine c(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-180)\/(-16)))\/(1*130\/25).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 599 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93.8784 + 94. Round k to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, -121, -418, -987, -1918, -3301, -5226, -7783?\n\"Answer: -15*f**3 - f**2 - 7*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -175.7 + 167.7. Which is the second smallest value? (a) 2\/7 (b) x (c) 0.7 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -126524 at most -126502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -117 + 113. Let z(q) = -2*q**3 - 2*q**2 + 2. Let r be z(t). What is the highest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -8 + (-2 - -1) + 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -22. Let n = -3 + v. Suppose 0 = 4*l + n*l - 20. Solve -b = l*b + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 311288*i. Let p(t) = -t**2. What is p(s(q))?\nAnswer: -96900218944*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42052)\/18 + (-2)\/(-9). Let p = 20996\/9 + x. What is the common denominator of 77\/8 and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0479338 and 1.\nAnswer: 1.0479338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.5? (a) 0.2 (b) -8 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 274057649?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbdbbbdbdbbb. What is prob of sequence bbd?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 477 + 669 = 0. What is the remainder when 63 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p - 5130 = 3*p. Calculate the remainder when (-3)\/(p\/(-20)) - 1760\/(-18) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -18. Solve 3*l = -10 - o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3384*x + 720873. Calculate t(213).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/4))**(-3\/7))**(6\/7) assuming f is positive.\nAnswer: f**(27\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 2*p + 13. Let i be a(-9). Let x be 20\/(-5) + (-3 - i). Let y = x - 28. What is the greatest common divisor of y and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 36 = -19*q + 15*q, 2*q = 2*p - 2. Sort 17, -4, 2, q.\nAnswer: q, -4, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3508\/5262*(-3)\/(9\/2).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-161)\/(-49) - 4\/14. Suppose l*x - 4*x + 3 = 0. What is the units digit of x*((-120)\/9)\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, t: 1, s: 6, m: 2, a: 7}. What is prob of sequence aatr?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 52?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/30 (b) -1\/4 (c) -3 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(((z*z\/z**(7\/3))\/z*z)\/z)*z)\/z)\/z*(z**(1\/7)\/z)\/z*((z**(3\/5)\/z)\/z*z)\/(z*z\/z**(-1\/14))*((z*(z*z**(1\/5)\/z)\/z)**(-22))**31 assuming z is positive.\nAnswer: z**(-29273\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 24 = -0*n. Does 19 divide (-23)\/(-1) + 2 + n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 5830*q - 932*q + 1509*q.\nAnswer: -5253*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*1*-6 + sqrt(3) + (0 + sqrt(3) + -5)**2 + -1*6*(1*sqrt(147))**2)*-2.\nAnswer: 30*sqrt(3) + 1708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (40 - 35) + -13.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**3\/2 + 92*q - 1. Let x(t) = 131*t**2 + t. Give x(s(k)).\nAnswer: 1179*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(187)*-4)\/(2*sqrt(396)).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r**(1\/21))\/r*r*r)**(-3) assuming r is positive.\nAnswer: r**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62949216*c*s - 105658921*c wrt s.\nAnswer: -62949216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**2\/7 - 10*i\/7 - 12\/7 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Let b = 18 - 21. Let o be (-46)\/(-14) - (b + 6). Sort o, i, -1 in decreasing order.\nAnswer: o, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r**4\/3 - 677*r**3\/3 - 1018*r**2 - 1648*r\/3 + 736\/3 = 0 for r.\nAnswer: -92, -4, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -55404402 (base 6) to base 16\nAnswer: -196832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 4\/5 (c) 1\/59 (d) -966 (e) -4 (f) 1 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, s: 4}. What is prob of picking 1 t and 2 s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, -82994, 46 in increasing order.\nAnswer: -82994, -6, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74040.\nAnswer: 2, 3, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*(-2 + sqrt(2448))*-5)**2.\nAnswer: -76800*sqrt(17) + 3923200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/5392563 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 361, -4, -5, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8266 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1. Let n(q) = -3 + 2 + 3*q + 6 + 1. Let b(j) = 4*j + 7. Let d(x) = -2*b(x) + 3*n(x). Suppose -61*u - 40 = -40 + 122. Calculate u*d(h) - 11*c(h).\nAnswer: -2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16886*q**3 + 214 with respect to q.\nAnswer: 50658*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-10) - 7 - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 12*w**3 + w**2\/2 - 2*w - 17. Let o be t(1). Calculate the greatest common factor of o and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1940449 and 193627?\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**4*u*u*u*u\/u**3)\/((u*u**(-3))\/(u\/(u*(u**(-2\/5)*u)\/u*u))) assuming u is positive.\nAnswer: u**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 517*j + 1834796 - 1834796 + 129*j to d*j + k and give d.\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013081 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -533 - -683. What is the greatest common factor of 30 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 7263.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 8:20 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 5*m - 1. Let x be v(-4). Solve 0 = x*w - 3 - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 181, 180, 179, 178?\n\"Answer: -l + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**3 + 84*w**2 - 1134*w + 315. Give y(-38).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 17*m**3 - 5*m**2 - 39*m + 32. Is h(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*c - 117*c + 7312 = 0. List the prime factors of c.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 2)*(0*o + 0*o + o)*(-17 + 4 - 13).\nAnswer: -78*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 z, and 1 u when four letters picked without replacement from {c: 2, z: 2, u: 3, j: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -17, -2, 31, 88, 175, 298, 463?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-7)\/((-14)\/(-40)). Let o = 2 + a. What is the highest common divisor of o and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + (-2)\/(8\/(-20))*16?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93\/3263 - 5\/502. Which is the third biggest value? (a) 0.3 (b) f (c) -0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 842*z + 844*z = 328, f + z - 82 = 0. What is the greatest common factor of 1681 and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 305924400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 199 - 46. Let n = w + -152.99999. Round n to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 23 - -18 - 15 - (42 + -4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1131326867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/27*-3 - (-2)\/2. Solve -3*c + 4*k = -d*c - 6, -5*c = -k - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -11324155?\nAnswer: -11324163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3*(-1 - 0). Let c = -23 + 25. Suppose 4\/3*m + 2\/3 + h*m**c = 0. Calculate m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 - (52 + -29) - 35.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 + 23 - p**2 - 10 - 3*p.\nAnswer: -8*p**2 - 3*p + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698 a factor of 61095313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31559?\nAnswer: 11, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 1250 = -5*m, 483 = m + m + 5*a. Suppose 0 = -5*k + b + m, 6 = -3*k + 3*b + 168. Does 30 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68947814 + 5*l - 68947814.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -571, 0.06, 6, 3\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**5\/20 - 5*g**4\/12 - 5*g**2\/2 + 4*g. Is s(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153278 (base 13) in base 16?\nAnswer: -7f3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 643962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**6\/240 - r**5\/10 - 35*r**4\/48 - 1946*r**2. Factor l(f).\nAnswer: -f*(f + 5)*(f + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7065471 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/7)*j*j*j**5*j*((j\/(j**2\/j)*j)\/j)**(-24) assuming j is positive.\nAnswer: j**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6719)\/(-3) + 324\/243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1573058 = -175*b + 689804 - 34937. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 698 is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.8, -1, 5, 0.1, -1.8, 0.05, 4 in decreasing order.\nAnswer: 5, 4, 3.8, 0.1, 0.05, -1, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132794?\nAnswer: 2, 67, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5193352163\/2532 + 2051087. Find the common denominator of g and 73\/9.\nAnswer: 7596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32543146*l**6 + 3215*l**2 - 589?\nAnswer: -3905177520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/(-42)*(-42)\/9. Let o be (23\/(-115))\/(k\/135*-1). Which is bigger: o or 6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*r**3 - 123*r**3 + 395*r - 395*r.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6197 is divided by 159.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1298695 is divided by 1874.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556786 is divided by 11127?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2049 - 413 + 2367)*(-q - 1 + 1).\nAnswer: -4003*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 308, 513, 838, 1307?\nAnswer: 1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1502067 and 2121.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -116.1 (b) 3 (c) -1\/7 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -12 - (2 + 6 + (6 - 11))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012 times -4.5?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-153)\/159272994) + (-80)\/680. What is j rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300641187?\nAnswer: 3, 7, 11, 47, 27691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2878 + -1356.7122. Let c = -1357.0579 - w. Round c to 3 dps.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -9. Let l be 12\/(-78) + 864\/208. What is the closest to x in l, -4, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 3*b - 236 = -131, 220*w = 3*b + 4620 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -92, -5, -0.34, -1359, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3093*o = -11*j - 3094*o + 556, j - 5*o - 76 = 0 for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -364 (base 16) to base 11\nAnswer: -71a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - p**2 - 2 + 3*p**2 + 2 - 25 - 3*p**2 + 25 + (2*p - 4*p + 3*p)*(-3*p + p + 0*p))*(5 - 1 - 2)*(-3 + 3 + 8*p)*(p**2 + 0*p**2 + p**2).\nAnswer: -96*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 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: Let r(i) = 6*i + 51. Let t be r(-8). Let y = -2 + 2.2. What is the nearest to y in t, 1\/6, 1\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d\/(d*d**15*d)*d)))\/d**30 assuming d is positive.\nAnswer: d**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*g**4 + 0 + (-2*g**2 - g**2 - g**2)*(-4 + 4 + 7*g**2) + 5*g**4 - g**4 - g**4.\nAnswer: -28*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 - r - 1. Let y(b) = -32*b**2 + 11*b + 11. Let p(t) = -44*o(t) - 4*y(t). Let a(n) = -n - 2*n - 2*n. Give a(p(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29370697 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 77*n**3 - 8*n - 12. Let m be q(-2). Let t be ((-4)\/6)\/(5\/15). Is 4 + (m - 2)\/t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -254010151 to the nearest 100000.\nAnswer: -254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -11\/24*z**4 + 1\/120*z**6 - 1\/6*z**5 + 13\/6*z**3 - 4*z**2 + 0*z + 0. Does 13 divide g(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -433.62017 to the nearest integer.\nAnswer: -434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 5, p: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/4)\/((-3)\/(-62)))\/(20252\/60756).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19295 - 11308. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -16, 0 in descending order.\nAnswer: 2, 0, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 6128979472696\nAnswer: 6128979472696.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {k: 3, z: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 715*q**5 - q**4 - 7*q**3 - 271921*q**2 + 2?\nAnswer: 42900*q**2 - 24*q - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 9*d**2 - 7*d - 12. Let x be t(8). Suppose -3*i = 3*r, 2*r - 6*r = -4*i - 8. Sort x, -2, r, -9 in descending order.\nAnswer: r, -2, x, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-2)\/(-102 + 2)). Suppose 344 = 2*v - 5*y, 0 = v + y + 2*y - i. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.7 + 5. Let y(i) = i**2 + 28*i - 26. Let z be y(-29). Let h be (-2)\/12 + (z + -4)\/30. What is the second smallest value in b, h, 11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 - 4*y**2 + 21*y**3 + 2*y**3 + 1 - 1 + (2*y**2 - 4*y + 4*y)*(0*y + y + y) - 363*y**3 - 20*y**2 - 12*y**2 + 359*y**3.\nAnswer: 23*y**3 - 32*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 217 and 49?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1472*s - 2873. Give z(-2).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 291177.0599945 - 291177. Let d = 42.94 + -43. Let m = d + y. What is m rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 17*m - 70. Let l be v(11). Let p(q) = q**2 + 4*q + 4. Let d be p(-3). Put 4, l, d in ascending order.\nAnswer: l, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100.75 - -117.75. What is the nearest to 1\/4 in -3, p, 27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 163\/3? (a) 4 (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 14*i**2 + 16*i + 13. Let y be o(-13). Let d = 23 - y. Which is bigger: d or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 + 8*c + 30. Let j(y) = -y**3 - 7*y**2 - 14*y - 58. Give 2*j(k) + 5*w(k).\nAnswer: -2*k**3 + k**2 + 12*k + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 40. Suppose 4*w = -5*n + 41, 7 = 4*w + 3*n - 24. Determine b so that 36*b**5 - 48*b**2 - 26*b**4 - 128*b**3 - o*b**w + 0*b**5 = 0.\nAnswer: -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1462*1\/7 and -65\/14.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s - 28 = -12*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 18. Let u be j(-13). Suppose f + 7 = -u. Which is bigger: -11 or f?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7 = -5*i, 1 = -i + 2*i + 2*j. Which is smaller: 2\/37 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1838, 1864, 1902, 1958, 2038?\n\"Answer: v**3 + 19*v + 1818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1. Let h(v) = -2*v - 39. Let g(l) = h(l) - 4*p(l). Let a = 2516 - 2534. Let b be g(a). Solve w - b = -4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (1 + -3))*(12 - 10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -163661355*m**6 + 3*m**2 - 27920450*m wrt m?\nAnswer: -19639362600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13428.99 kilograms to tonnes.\nAnswer: 13.42899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3111 - 400303?\nAnswer: -403414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, -16, -39, -82, -151, -252, -391?\n\"Answer: -z**3 - z**2 + z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(304)*-2*5 + -5) + -1.\nAnswer: -240*sqrt(19) - 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 873715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 5*i**2 - 7*i. What are the prime factors of g(-5)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*d + 2*d**3 - 3*d - 4*d**4 + 6 - 5*d - 5 + 5*d**4 to i*d**4 + h*d + g*d**2 + w + t*d**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - 2*-2*sqrt(143) - 4*(-2*sqrt(143) + sqrt(143)))\/((-6*(-4*sqrt(88) + sqrt(88)))\/sqrt(8)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -37175*u + 25. Let b(z) = -6196*z + 4. Let d(l) = -25*b(l) + 4*k(l). Let s be d(1). What is s rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(17) - (1 + sqrt(612) - sqrt(17)) - (sqrt(68) - (-1 + sqrt(68)))))**2 - (1 + -5 + sqrt(17)*-1 + -2 + sqrt(17) + 0).\nAnswer: -24*sqrt(17) + 287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 531844309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.4, -9.85 in increasing order.\nAnswer: -9.85, -0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.043 * 4.67.\nAnswer: 0.20081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71240 and 338390.\nAnswer: 1353560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 41, 5 in descending order.\nAnswer: 41, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/163 (b) 0.18 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + (3 - 3 - 8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12829664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 60\/19, -9 in descending order.\nAnswer: 60\/19, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 - 3*q - 3. Let g be k(-1). Let o be (-4)\/(-14) - ((-248)\/63 + g). What is the third biggest value in o, -3\/7, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*x - 3*c - 238, -203 = -2*x - 5*c. What is the greatest common divisor of 286 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t + 5*t - 22449 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a894 (base 11) in base 7?\nAnswer: -604016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 75 = u. Suppose w = -0*w - u. Calculate the common denominator of w\/(-18)*18\/(-4) and -101\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p = 1278 + 1587. Suppose 10*k - 631 + p = 0. What is the highest common factor of 8 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2437, 5437, 5 in increasing order.\nAnswer: -2437, 1, 5, 5437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*f + f. Let w(v) be the third derivative of 0 + v**2 + 1\/6*v**f + 0*v - 1\/24*v**4. Differentiate w(b) wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - c - 2*c**2 + 4*c**2)*(179*c - 2*c + 5*c + 1 + c - 1 + 3*c - c - 3*c + (2 - 2 + 2*c)*(-1 - 1 + 0) - 1 + 1 - c - c + c + c).\nAnswer: 712*c**3 - 178*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 7545 (b) 8 (c) 1\/4 (d) 1\/2 (e) -10 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4415020 - 54?\nAnswer: -4415114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 122, 412, 974, 1898, 3274, 5192, 7742?\nAnswer: 11014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 10:57 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 850 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23096, -22240, -21352, -20420, -19432, -18376, -17240, -16012?\nAnswer: -14680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y + 55 + 2*y + 5*y - 16*y + 3*y.\nAnswer: -10*y + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - s - 272, 5*s + 10 = -0. Suppose -2*m = 3*m + x. Let u = 17 + m. Which is smaller: u or -1\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 792117*b - 1423924?\nAnswer: 792117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjj when three letters picked without replacement from dddddddjdddddtddddd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 8 = -z - m, -3*z + 5*m - 23 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 143383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1)*((-v + 3*v - v)*(4 - 3 - 2) + 0*v + 4*v - 2*v + 6*v + v + v)*(-13*v + 13*v - 24*v**2) in the form k*v**3 + h*v + p + d*v**2 and give k.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -244552964*g**2 - 24*g - 4492037?\nAnswer: -489105928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 24*j**2 + 11*j + 9. Determine v(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 4*r - 5. Let b(h) = h - 1. Let t(u) = u**3 + 5*u**2 - 6*u - 1. Let l be t(-6). Let q(s) = l*a(s) + 3*b(s). What is q(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x = 13. Suppose 5*t + 19 = 2*k, -2*k + 0*t + 3*t + x = 0. Suppose -2*l - 3 = k*f + 3, 0 = 3*f + 2*l + 4. Is 4 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1. Let q(y) = y + 6. Let i = 75 + -74. What is i*q(f) - 3*o(f)?\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z - 3*z - 4 + z - 4. Let h be r(15). What is the greatest common factor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -1)**2*-2.\nAnswer: -258 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83984 - 4.41.\nAnswer: -83988.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + -1)*(-22 - 8). Calculate the highest common factor of 15 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 190*r. Let f(t) = -2*t**2. Determine f(p(v)).\nAnswer: -72200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53777*a**2*x**2 + 8*a**2 + 3*a*x**2 - 13836814*a*x + 49*x**2 wrt x.\nAnswer: -107554*a**2 + 6*a + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 - 336 = -10*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1458) - sqrt(1458))**2.\nAnswer: 13122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, j: 1, l: 2, k: 3}. What is prob of picking 1 j, 1 l, and 2 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + b)*(1248*b**3 - 657*b**3 - 676*b**3).\nAnswer: -85*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:12 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 17*j - 64. Let r be s(6). Let i(y) be the first derivative of -4\/7*y**r + 4\/21*y**3 + 1\/14*y**4 + 0*y - 7 - 1\/35*y**5. Factor i(w).\nAnswer: -w*(w - 2)**2*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r + 2*j - 4*j = 12*r + 2*j - 404, -7*j = -r for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2. Let p be u(-2). Let t(o) be the third derivative of 1\/3*o**3 - 3*o**2 - 1\/24*o**4 + 0 + 0*o. Give t(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4318 by 2.\nAnswer: -2159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 23*x - 1642. Calculate the lowest common multiple of 81 and m(80).\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 2506 = -9*y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 3*t - 116*t**2 - 171*t**2 + 371*t**2 in the form f*t + x*t**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 1 - (-6 + -11 + -5 + -84 + 19).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.68718 + 0.687208963. What is y rounded to 6 decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -2*q**2 + 0 + 0*q + 0*q**4 + 0*q**3 - 1\/30*q**5. Let n(p) be the second derivative of -p**4\/3 + 5*p. Calculate r(n(v)).\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21676473.\nAnswer: 3, 7, 13, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 7. Determine t(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 4*m + 1. Let b be h(-4). Let p(i) = 1. Let l(u) = -u**2 - 9*u + 6. Let j(q) = b*l(q) + 4*p(q). Let x be j(-10). Sort x, -3, -2.\nAnswer: -3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/5)\/t**(-4)*((t**(2\/5)\/t)\/t)**(46\/3) assuming t is positive.\nAnswer: t**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(891)*1)*-4)**2.\nAnswer: -1152*sqrt(11) + 57088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-20)*g)\/g)\/g)**(-47)*(g**(-15)\/g)\/(g**(14\/5)\/g) assuming g is positive.\nAnswer: g**(4846\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -48, 3, -5 in descending order.\nAnswer: 7, 3, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-765) - (240\/1564)\/(-5)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 at least as big as 222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nininodinihnonhiiiu. Give prob of sequence odn.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -453672015*l**3 - l**2 + 48764603*l.\nAnswer: -2722032090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1066 + 4?\nAnswer: -1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13 + -0.37. Suppose 5*j + 2*t = -10 - 3, -12 = 3*j - 3*t. Let h = -0.04 - -1.04. Which is the nearest to h? (a) j (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4681 + 63. List the prime factors of o.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -306*b + 2446. Give a(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.27 != -18614800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3821.\nAnswer: 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 - 41 + 981*u + 12)*(3*u + 3*u - 4*u)*(4 - 8 + 5) to the form s*u + y + k*u**2 and give k.\nAnswer: 1962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2916*q - 105031. What is m(-36)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -20, -5*v - 2*n + 40 = -4*n. Let g = v + -7. What is the lowest common multiple of g and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 56*v + 1. Let f be m(1). Let q = 29 - f. Let o be ((-2)\/10)\/((-7)\/q). Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 148 - 23. Is o less than 127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, w: 4}. What is prob of picking 1 h and 3 w?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 + 18*w**2 - 5*w - 9. Suppose 4*a + 3*v - 7*v - 8 = 0, 2*v = 10. What are the prime factors of t(a)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 2*m**2 - m**2)*(15*m**2 + 7 - 89*m + 170*m - 82*m).\nAnswer: -45*m**4 + 3*m**3 - 21*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -519*z**5 + 139*z**5 - 18502*z**2 + 18502*z**2 - z + 2*z**5 + z + (0*z**5 - z**5 + 2*z**5)*(-3 + 5 - 3).\nAnswer: -379*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqo when three letters picked without replacement from oqqqgqoqqojjj?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/269?\nAnswer: -4\/269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.2, 1\/12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poppppppggjppppj. Give prob of sequence ogj.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 13. Suppose w = 2*i - 11. What is the lowest common multiple of i and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -571423*l**2 + 395955*l wrt l?\nAnswer: -1142846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(144\/61) + 3. Let t be (1\/8)\/(8\/(-232)). Let m = z + t. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 - 4.7. Let i = x + -0.9. Let b = 3.994 + i. What is b rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 72*z + 3. Let g be j(2). Let o(a) = 5*a**2 - 147 + g. Let v(l) = 3*l. Calculate o(v(n)).\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19b (base 12) to base 16\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15499, 30997, 46495?\nAnswer: 61993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7615888 + 86242.9?\nAnswer: 86244.6615888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/21 or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1270 + 1295. Calculate the remainder when 157 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 5:25 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*u + 368 = -217*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1035*r**3 + 5*r**2 - 5*r**2.\nAnswer: 1035*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1996975, -3993951, -5990927, -7987903, -9984879?\n\"Answer: -1996976*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0600214 + 0.06. Round k to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 0.6128?\nAnswer: -4.9024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -50, -87, -124?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -217 - -216.9. Which is the second biggest value? (a) -4 (b) h (c) 0.5 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/8 in 172, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3*u + 84. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510 = 4*o - 126. Let b be o\/(-42) - 2\/7. Solve b*g = 4*g - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 29, -4, 7, -6 in increasing order.\nAnswer: -6, -4, 0, 7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(17 - 8 + 31)*(0 - 5 - 3)*(-3*m - 3*m + 4*m) in the form t + g*m and give g.\nAnswer: -1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 6. Suppose -176 = 6*s - 212. Find z such that -z**c - 3*z**3 - 4*z + z**4 + z**3 + s*z = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 2, -2, -10 in increasing order.\nAnswer: -10, -3, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 6:51 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 31. What is the third derivative of 5*y + b*y**2 - 7*y**2 + 7*y**6 - 5*y wrt y?\nAnswer: 840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34006858271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32107*b**3 - 68980*b**3 + 12348*b**3.\nAnswer: -88739*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*6*sqrt(128)*-2*-1*-2 + 5 + -4).\nAnswer: -4 + 3840*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -881\/22 - -4449\/110. Which is the closest to x? (a) 1\/54 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108948 and 1323?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 225*b - 17745. Give u(-62).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 32260*y. Let v(x) = 19*x. What is c(v(j))?\nAnswer: 612940*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 162553715*a**6 - 71420*a**2 + 2*a - 36 wrt a.\nAnswer: 19506445800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (138\/30 - 4)\/(8\/(-720)*3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/2 - -1) + 2. Suppose 0 = 6*i - 2*i - 4. Let q = i + t. Solve -4*o + 2*y = 4 - 22, q*y = 2*o - 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 253?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2131689, 2131249, 2130517, 2129493, 2128177?\n\"Answer: -146*t**2 - 2*t + 2131837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10041 + 5019 + 5022 - 7*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) + sqrt(200) + 0 + 5.\nAnswer: 5 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*l - 22, 3*l - 78 = -5*d + 2*d. Let t = 65 + d. Suppose -3*i - 2*i = -t. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19776, 19785, 19808, 19851, 19920, 20021?\nAnswer: 20160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10843*h*p**3 - 24*h*p - 6*h - 909*p**4 - 2*p + 108 wrt p?\nAnswer: 65058*h*p - 10908*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -8*t + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2832, 2844, 2872, 2922, 3000?\n\"Answer: q**3 + 2*q**2 - q + 2830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 6*d**2 + 2*d - 10. Let b = 32 - 33. Let n be (-115)\/(-23)*1*b. Let y be r(n). Put y, 4, 1 in decreasing order.\nAnswer: y, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.145 or -1\/152?\nAnswer: -1\/152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9415.033 litres to millilitres.\nAnswer: 9415033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/2)\/(3\/6). Let z = -4 - v. Suppose -36 = -4*u - 3*p - 1, 0 = 4*u - p - 15. Sort u, 3, z in decreasing order.\nAnswer: u, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754 a factor of 363087140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n + 6. Suppose -5*h = 1876 - 1851. Sort n, 5, -2, h.\nAnswer: h, n, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43 - 1?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 6*l + s - 8, l = -5*s - 16. Suppose 0 = l*f + 1 - 13. Solve -4*a - 23 = -3*o, 0 = f*o - 6*o - 3*a - 12 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(5\/(-2388)))\/(80\/1200). What is the greatest common factor of 108 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30678 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95206.82 nanometers to micrometers.\nAnswer: 95.20682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 7. Suppose -r + 2*r + 6 = 0. Let w be z(r). What is the tens digit of -1 + w + 0 - -21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633 is divided by 612?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b + b)*(-321*b - 643*b - 109*b).\nAnswer: -4292*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3306555 and 172620.\nAnswer: 1811992140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123737, 247473, 371209?\nAnswer: 494945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 8*t**2 + 18*t - 15. What is a(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 4. Suppose 0 = -k + 5 - 4. Solve d*t + t + k = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**6\/6 - 3*y**5\/2 - 45*y**4\/4 + 90*y**3 + 810*y**2 + 30*y - 15. Let s(i) be the first derivative of q(i). Factor s(z).\nAnswer: 5*(z - 6)**2*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74496 and 42624?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 6*q**2 + 449*q + 1336. Determine v(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from dpwadpfaeaaappwdwpdd.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28956907 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 5:42 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*27\/(-9))\/(6\/(-16)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**8\/1344 - o**6\/160 - o**5\/120 + 6*o**2. Factor c(q).\nAnswer: q**2*(q - 2)*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 807464360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 - -737. Is u a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 11*l**2 - 14*l**2 + 33*l**2 - 6*l**2.\nAnswer: 2*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4432732.26 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + g = -3, 0*d + d = g + 7. Determine o, given that 49*o + 0*o**d + 3 - 45*o + o**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 0.8268.\nAnswer: 0.3268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*4\/40*4\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 9*j - 23. Let g be h(-11). What is the tens digit of g\/(-6) - (-1005)\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.395092 nanometers?\nAnswer: 0.000000000002395092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 796289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**4\/2 - 39*f**3\/2 + 166*f**2 + 414*f = 0?\nAnswer: -2, 0, 18, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h**2. Suppose 3*g - 3*z - 5 = 1, 5*z - 10 = -5*g. Let s(o) = o**g - 3*o**2 + 3*o**2 + 0*o**2. What is s(n(m))?\nAnswer: 25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.52 - -20.4. Let o = 3.12 + f. Let w = 119\/6 - 20. What is the third biggest value in 6, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**2 - 2*b + 6*b**2 - 1674742 + 1674711 as d*b**2 + k + j*b and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*i*o**2 - 314*a*i - 42*i*o**2 + 9*o**2 wrt o?\nAnswer: 2*a*i*o - 84*i*o + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9129213.\nAnswer: 3, 338119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 57.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**2 - 4*m + 4*m)*(4 - 3 + 3) + 65*m**2 - 866*m + 57*m**2 - 194*m**2 + 184*m + 67*m**2 as h + f*m + g*m**2 and give f.\nAnswer: -682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m - 54*m + 1650 = 58*m - 18*m for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209374.\nAnswer: 2, 11, 31, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162697, 178069, 193439, 208807, 224173, 239537, 254899?\nAnswer: 270259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7068 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 10*q**3\/3 + 6*q - 86. Let n(f) = 3*f. Calculate r(n(l)).\nAnswer: 60*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 128 = -677. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7373.625ml?\nAnswer: 7.373625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/7 + 212*y**3\/7 - 414*y**2\/7 - 212*y\/7 + 416\/7 = 0. Calculate y.\nAnswer: -1, 1, 2, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -255*u - 116*u + 666912 + 27808822. What are the prime factors of u?\nAnswer: 2, 38377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.98 (b) 2.49 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 305896070 to the nearest integer?\nAnswer: 17490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3489 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3772 = -0*d - 4*p, 0 = -3*d + 2*p + 2809. Suppose 4*r - f + 3998 + d = 0, 2*f = -r - 1223. What is r rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -341*x**3 + 2*x**2 - x. Let p = -26 - -27. Let t be s(p). What is the remainder when (-1)\/(-1 - 336\/t) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*t - 29 = 0, -6*a - 2*t + 39 = -a. What is the derivative of 0*q + 0*q + 0*q + a + 2*q wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from fxaaauu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/30*31 - -13. What is the fifth biggest value in -2, h, 2\/7, 1\/4, -0.07?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 + 3*w + 5. Let v(p) = 2*p**3 - 2*p - 3. Let i(f) = -6*t(f) - 10*v(f). What is the second derivative of i(j) wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -3*w + 32, 98*w - 90*w - 99 = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7 + 13\/3 - 2)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 + 0*k**3 + k**3 - k**3 + 0*k**3 + 0*k**3 + (k**2 - 1 + 1)*(2*k + 0 + 0))*(-2 + 4 + 0).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -20, p - 1919 = d + 2*d. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + -52.972. Let d = i - 0.0465. Round d to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7010 and -0.2.\nAnswer: 7009.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29466552 + 1?\nAnswer: 29466553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - -2 - (2 - -1). Let i = 7 + n. Find the third derivative of 6*l**6 + 2*l - 8*l**2 - 2*l - l**i wrt l.\nAnswer: 720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24795 is divided by 24738?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5789 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l*t**2 + 47*l*t + 60*l - 2*t**2 + 4641*t - 88596 wrt t?\nAnswer: 4*l*t + 47*l - 4*t + 4641","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -753 + 8281\/11. What is the third biggest value in 2, 153, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Let a(h) = -h + 6*h**2 - 1 + 10*h**2 - 15*h**z. Let i(c) = -8*c**2 - 6*c - 12. Let o(q) = 6*a(q) + i(q). Solve o(d) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -4. Let o(n) = 2*n**3 - 2*n - 2. Let l(p) = -p**3 - p**2 + p - 1. Let c(t) = x*o(t) - l(t). Let k(h) be the first derivative of c(h). Give k(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 170.29 - 9.29. Let s = j + -161.4. What is the second biggest value in 18, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 22. Let z(d) = -2*d + 1. Let v(s) = 5*s - 2. Let f(b) = -3*v(b) - 7*z(b). Let m be f(n). Calculate the highest common factor of m and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 divided by -1\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by -13 - (-10 + -2) - (-41 - 1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1494 - 1406. What is the remainder when 420 is divided by b?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-5)\/i)*i**(-3))\/(i**5*i\/(i*i*i**(2\/5))) assuming i is positive.\nAnswer: i**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*b**2*x**2 - b**2*x + 375*b**2 + 869*b*x**2 - 4*b*x + b wrt b?\nAnswer: -20*x**2 - 2*x + 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9164*m**2 - 216 + 4586*m**2 - 220 + 4585*m**2 - 218 + 654.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1007 - -1032. Suppose 0 = -10*u - 65 - g. Let i = -2 + 3. What is the nearest to 0 in -0.1, i, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1510*j*q**4 - 13*j*q**2 - 11*j*q*x**2 + 2*j*x + 2*q**2*x**2 - 2*q - 4403*x**2 wrt q.\nAnswer: -18120*j*q**2 - 26*j + 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42660 divided by 113.\nAnswer: -42660\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10362\/250135 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-10))\/((-4)\/20). Differentiate -3 + 2*h - 5*h - q*h + 3*h wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-2 - 10\/(-4)). Suppose -p*n = -n - 15. Suppose -n + 1 = -c. Solve v = -0 + c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 3 - 5 - 3 + 60*o.\nAnswer: 60*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -12 - (-1 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*sqrt(8640))\/(sqrt(12) + sqrt(108)\/(sqrt(27)\/sqrt(3)))*1)**2.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41485, 41511, 41551, 41605?\nAnswer: 41673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.066061 (c) 4 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*m = -105. Suppose 3*n + 4*t = 2 + 18, m = 3*t. Suppose 2*k + 5*k - 5033 = n. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**4*v + 53852*k**4 + 2*k**3 + 11*k**2*v + 3*k**2 + 10817*k + v wrt k.\nAnswer: -48*k*v + 1292448*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-32)\/((g**1*g)\/g*g**6*g)*((g\/(g*g\/(g**(-1\/7)*g)))\/(g\/g**6*g))\/(g**(-1\/4)\/g)**(-43) assuming g is positive.\nAnswer: g**(-2517\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*b - 1. What is the highest common factor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 2)*(13*z - 960 + 960) - 3*z + 2 - 2)*(-2 + 2*z + 2).\nAnswer: 46*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**5 + 85*y**4 - 390*y**3 + 700*y**2 - 440*y = 0.\nAnswer: 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3192 + -3206 + (3 + -2 - 13)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -91304, -91305, -91306?\n\"Answer: -f - 91303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 5:03 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7))**(-1\/45)\/(d**3*(d*d**(-2\/7)\/d)\/d))**6 assuming d is positive.\nAnswer: d**(-1084\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1821 + 1820.6. Let o = -0.2 - -0.2. Let a = -1.3 + 0.3. Sort i, o, a in decreasing order.\nAnswer: o, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**5\/20 + 31*w**4\/12 + 17*w**3\/3 - 24*w**2 - 40*w. Let q be s(32). Solve c - q = -3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - 7*i**3 - 4 + 16*i - 13*i**2 + 16*i**3 - 4 - 10*i**3. What is q(-14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 0 + 1 + -4. Let a(t) = -3*t - 9. Let u(o) = -3*o - 10. Let l(s) = 6*a(s) - 5*u(s). Give l(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**3 + w**2 - 6*w + 5. Let c(l) = 5*l**3 + 2*l**2 - 6*l + 5. Let g(f) = -5*c(f) + 4*z(f). What is the least common multiple of g(-7) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.72? (a) -4 (b) -59 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*(-7)\/(-21).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*o - 7*o + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9008640 divided by 64.\nAnswer: -140760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 225 - 880 = 0. What is the remainder when t is divided by 48?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 168.3 and 21.53.\nAnswer: 3623.499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, r: 4, m: 4}. What is prob of picking 2 m and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - -1. Let g(c) = -30*c + 572. Let x be g(19). Suppose l*o + 189 = x*o. Which is smaller: -25 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -0.034148, -5, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 1\/(-4)*22*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k + 13. Let m(a) = 1. Let v(n) = -m(n) - r(n). Let l = 60 + -54. Let g be v(l). Solve 3*i - 5*i = g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 31 = -85. Suppose -t + 0*u + b = u, t - 29 = 5*u. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6298426?\nAnswer: 2, 277, 11369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -114, -2\/3, 0.7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 45 = -5*w, -2*w - 13 = -5*f + 4. Suppose 2*h = 2*x - 16, -3*x + w*h = 2*h - 19. Suppose x = m - 1. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u. Let t = 11 + 2. Let p = -3 + t. Let h(q) = -p*q**2 + 7*q**2 + 5*q**2. Give h(z(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27, 22, 1, -42, -113, -218?\n\"Answer: -w**3 - 2*w**2 + 8*w + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g**2 + 107 - 16*g**2 - 9*g**2 - 2*g**2.\nAnswer: -3*g**2 + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (38 - 1386\/36)\/(20\/32)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14452 + 8183.109.\nAnswer: -6268.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j - j - 35 + 18 + 44*j**2 wrt j.\nAnswer: 88*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 397549213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 100540 divided by 25135\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 + 876*q - 22263. Give d(27).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2282650842530 and 6.2.\nAnswer: -2282650842523.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 13*r = 9. Calculate the smallest common multiple of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) - (sqrt(13) + 1)) - sqrt(13))*1 - (4 + sqrt(637) + sqrt(637)).\nAnswer: -14*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*sqrt(500)*-1 - ((2*sqrt(500) + sqrt(500) + sqrt(500))*1 + sqrt(500)*-1*-1)**2.\nAnswer: -12495 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21 - 2?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2\/5*z**4 - 1844\/5*z**2 + 1842\/5 + 368*z**3 - 368*z = 0.\nAnswer: -921, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -662 and -288552682.3?\nAnswer: 288552020.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5236 less than 5236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14936 and 10232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(143) - -2*sqrt(143))*5)\/((sqrt(704) + sqrt(704)*-2)*-1)*1)**2.\nAnswer: 2925\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9*(42\/49)\/(243\/(-189))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.5, -355980, 2 in increasing order.\nAnswer: -355980, -0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/((g*g*g**(3\/16))\/g)*g**(-50))\/((g\/((g**(-14)*g*g*g*g)\/g))\/(g\/g**(-1\/79))) assuming g is positive.\nAnswer: g**(-76061\/1264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 47. Suppose 7*i = 4*i + r. Solve 3 = -i*p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/30 and 109\/5006958?\nAnswer: 25034790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 252*s. Let o(x) = x**2 + 19*x + 58. Calculate t(o(p)).\nAnswer: 252*p**2 + 4788*p + 14616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x + 27. Let r be v(3). Is r >= 35\/128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 419*d + 7243. Determine c(-17).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**5\/30 - 7*z**4\/24 + 7*z**3\/6 - 8*z**2 - 4. Calculate q(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -169 - -286. Suppose -4*d = 4*k - v + 25, 29 = k + 3*d. Suppose -625 = -9*q - 175. Calculate the greatest common factor of k and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 93381*k + 78830 wrt k?\nAnswer: 93381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (23 + -11 - 46) - (1 + -5 + -3)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 16029*g**2 + 792930*g + 1649952.\nAnswer: -3*(g - 51)*(g + 2)*(g + 5392)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*g + 29, -20*r - 3*g = -18*r - 18. Let b(z) = -z**2 - z + 2. Let q be b(0). Suppose -l - q*l - r = 0. Which is smaller: -8\/11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 385, 5 in ascending order.\nAnswer: 1, 5, 385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*j + 246*j - 13 = 2*y, y + 7 = 2*j. Let z(c) = -c**3 - c**2 + c - 1. Let n(q) = q**3 - 6*q**2 + 6*q - 6. Calculate j*n(b) - 6*z(b).\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 less than -180?\nAnswer: -179.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -a + 13, 12 = 361*r - 364*r for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -3 (c) -20 (d) 9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5910 is divided by 957?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3098*d. Let a(r) = -34090*r**2. What is t(a(f))?\nAnswer: 105610820*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 a when four letters picked without replacement from ogtgogontoannoog.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 12) in base 4?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 60 = 5*f - 2*f, -4*q + 2*f = -40. Let r be (-5)\/(-8) + (-18)\/q. Which is the second biggest value? (a) r (b) -4\/3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 + 3*b**2 - 4*b**2 + 8 + 9*b + 5*b**2. Determine k(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8394 and -55.\nAnswer: -461670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**(-1\/4))))\/(y*y**(2\/5)))\/(y**2*y)**39 assuming y is positive.\nAnswer: y**(-2353\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqnnqq.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 270880429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 440?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329481.\nAnswer: 3, 12203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 5461. Let b(s) = 22. Calculate 2*b(i) + v(i).\nAnswer: 2*i - 5417","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 7. Suppose 5*o - 29 = -2*a + 3*a, -61 = c*a - 4*o. Let l = a + 36. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263\/(-789) + 1 + (-82)\/(-10) + -9.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 15*u**2 + 2*u - 1. Suppose -t - 5 - 3 = 2*w, 3*t = w - 3. Let r be t\/11 + (-26)\/(-22). Is 8 a factor of i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.4, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 73*z + 4287. Calculate the remainder when h(-40) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 4:22 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 0.3, -17, 2, 413, -16\/7 in ascending order.\nAnswer: -17, -16\/7, 1\/8, 0.3, 2, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(27) - sqrt(243)))*1)**2 + -4*(sqrt(3) - (-1 + sqrt(432))).\nAnswer: 44*sqrt(3) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -1532*o**2 + 28*o. Let h(x) = -302*x**2 + 5*x. Give -22*h(w) + 4*u(w).\nAnswer: 516*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.7. Let v = 50 + -199\/4. Which is the second biggest value? (a) v (b) q (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -370 divided by -74?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -i + 4. Let b be (3\/9)\/(2\/96). Let y = i + b. What is the smallest common multiple of 4 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 12*k + 15. Let r be l(-11). Suppose 23 = 3*n + r*g, 19 = 2*n - g - 0*g. Let u = 37 + -13. What is the remainder when u is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -46?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)\/(sqrt(36)\/sqrt(3)) - (sqrt(44) + sqrt(176)\/sqrt(4))*3)\/(sqrt(12)\/sqrt(48) + (sqrt(4) - sqrt(28)\/(sqrt(7)*3))).\nAnswer: -60*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -2 + (11 - 3) - (0 - -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 289967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssesweeswssa. Give prob of picking 2 w and 1 e.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*g - 485*g - 154 = -892 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5897167 micrometers to millimeters.\nAnswer: 0.0005897167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3362 - -8542. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 3, 0, -29?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 3*p + 15. Let q be (14 - 4)*4\/48. Which is the nearest to 0? (a) q (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -34*n**2 + 40*n - 4. Let b be i(1). Solve -4*q - 21 = -f, 6*f - 24 = b*f + q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/65)\/(90\/25)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 147*x**4\/4 - 16233*x**3\/4 - 6444*x**2 - 2685*x - 336 = 0?\nAnswer: -1, -2\/7, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2747\nAnswer: -4\/2747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77*b**4 - 3*b**2 + 196 with respect to b.\nAnswer: 308*b**3 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2605482)\/(-152370) - 17 - (-2 + 42\/20). Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-3\/8)*v)*(v\/(v\/(v**(-2\/5)*v)))\/v*(v*v\/v**1)**40)\/((((v\/(v\/v**(-2)))\/v)\/(v*v\/v**5*v))\/((v**(1\/10)\/v)\/v**(-1\/6))) assuming v is positive.\nAnswer: v**(4829\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -39*(-6)\/(-72))*20\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 - 254 = q + z, 5*z - 15 = -4*q. Suppose 3*d - 2 - 10 = 0. Solve -q = 5*y, -3*f + 4*y - d = -y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30522*a**5 - 280*a + 56?\nAnswer: -610440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (3 + 5 + (0 - 1))) + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 7*w + 3. Let i be c(-6). Let p be (-28)\/(-6) + (-1)\/i. Suppose 69 = p*m + 24. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.2 - 9. Let p = -1204 - -1203.94. Which is the closest to -0.2? (a) p (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 227\/(-15) - (-6)\/(-180)*-4. Is h smaller than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -6) + 84 + -19 + (7 - (-2 - 7))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x - 4*x + 3 + 2*x. Suppose 0 = 5*f - 5*c - 5, 3*f - 2*c - 5 = 2. Determine s(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x\/((x**(2\/5)*x*x)\/x)*x)*x\/x**(1\/26) assuming x is positive.\nAnswer: x**(307\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/10642435 and -11\/17027896.\nAnswer: 85139480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75376 or -75137?\nAnswer: -75376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000611138 rounded to five dps?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 10*u - 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2685 and 21991045?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*r = -5 - 6, n + 2*r = 11. Suppose -9*p + 5*p - 16 = 0. Let k(w) = w + 9. Calculate the lowest common multiple of n and k(p).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184000 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (-2 + 0 + 6). Let k(c) = -c**2 - 8*c - 7. Let t be k(m). Let d(s) = -s**2 - 1. Give d(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 - 1 - -3)\/(-2). Suppose -5*t + 2*x + 94 = -0*t, p*t - 64 = 5*x. What is the greatest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3 (b) -6 (c) -14 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/64*(-65 - 1122\/(-18))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-5) - (30\/(-25))\/6. Solve 0 = -3*l - 0 + h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11032 + 3133212233?\nAnswer: 3133223331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 5*t**2 - 4. Let h be r(4). Let j(p) = p**2 + 12*p + 11. Let g be j(-10). Let f be (g\/h)\/(-1*3). Is -2 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8.630071 minutes?\nAnswer: 517804260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -7084427 and -7084421 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -51*n**2 - 60*n + 11. Let q(m) = -25*m**2 - 29*m + 4. Let g(z) = -5*q(z) + 2*r(z). Factor g(i).\nAnswer: (i + 1)*(23*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.9837761 nanograms?\nAnswer: 0.0000000009837761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k + 1. Let c be j(1). Suppose 2*z - c - 9 = 0. What is the least common multiple of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 147 = -4*x. Let m be -1 + 8\/3 - (-29 - x). Which is the nearest to m? (a) -2 (b) 9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*m - 72631 + 72688 = 0, -3*d + 54*m + 963 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/3)\/((-3)\/9). Let x(z) = z**3 - 4*z**2 - 8*z + 3. Suppose -q - 5 = -11. Let j be x(q). Calculate the greatest common divisor of j and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2681561?\nAnswer: 2681561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -315*d + 315*d + 39*d**2 in the form z*d + u*d**2 + v and give u.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23907 + 23907. Suppose 5*d = -4*w + 32, -3*w = -3*d - 7*w + 24. Solve 4*k - 2*r - d = 0, h = 5*k - 2*r - 5 + 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24.3 - 25. Let l = -1.1 - c. What is the nearest to 1 in l, -4\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 30 = -3*m + 280, -2*m - 2*y + 206 = 0. Suppose 0*v = -3*v + m. Let b(j) = -2*j - 5. Calculate the remainder when v is divided by b(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*q**3 + 6*q**2 - 57*q + 4339 wrt q.\nAnswer: 12*q**2 + 12*q - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14208?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5910*d**5 + 46*d**2 - 56*d wrt d.\nAnswer: -354600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from {h: 6, o: 12}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 3*o + 42 = 13*o. Solve 0 = o*l, 5*l = -b - 6 + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 775*s - 871*s - 3 + 3.\nAnswer: -96*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474 + 460 = 4*x + 2*i, 5*x = 2*i + 14. What is the third biggest value in x, -0.1, -813?\nAnswer: -813","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v - 4. Let q be b(-3). Let c be (-55)\/11*q\/(-10). Solve -c = -2*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - (26 - 54)) + (16 - 0).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 6:17 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -40*d - 26 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.939*0.1.\nAnswer: -0.3939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 20, 61*r - 59*r - 39052 = -i. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 10 = i + 1, -2*i + y = 2. Sort -5, i, 23, -4, 26 in decreasing order.\nAnswer: 26, 23, i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 15*i - 16. Let s be o(11). Let d = 123 + s. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 734.26 - 734.26033581. What is s rounded to six dps?\nAnswer: -0.000336","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 + 2*c**4 - 5*c**4)*((809 - 809 + 38*c)*(3 - 3 + 1) - c + 7*c - 3*c).\nAnswer: -82*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.889 - 6.589. Let l(m) = -3*m**3 - 1. Let f be l(1). Sort o, -2\/7, f in decreasing order.\nAnswer: o, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p*q**4 - p*q**3 - 136*p*q**2 + 19*q**4 wrt q?\nAnswer: 24*p*q - 6*p + 456*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30494 is divided by 2063.\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Let b(u) = -u**3 + 2*u**2 + 2*u. Let m be b(2). Suppose 0 = m*g - 5*p + 8, 0 = -3*p + 2*p. Put o, 0, g in decreasing order.\nAnswer: o, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a + 1. Give g(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a hour?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 0.141, -2?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/1830 and 7\/75335.\nAnswer: 452010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0 (b) -4 (c) -1 (d) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.3 (b) -0.6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 47*b**2 - b**4 - 148*b**2 + 49*b**2 + 48*b**2 + 2*b as o*b + d*b**3 + i*b**2 + z*b**4 + m and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.32349 kilograms to milligrams.\nAnswer: 85323490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efyripepeeifrp. What is prob of picking 1 p and 1 e?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/4*12\/9. Let l = 4 - h. Let c be (-16)\/(-10) + l\/(-5). Solve -17 = -2*s + 5*y, c*s + 5*y + 33 = -0*y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22154291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 11*m - 12. Let n be z(-9). Suppose 3*p = -p - 16. Let i = n + p. Solve -2 = i*l - l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13056, 26104, 39152, 52200?\nAnswer: 65248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*y + 9380, -7*y = -11*o + 9*o + 4652. What is the smallest common multiple of o and 143?\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 1 - (-340 - -339)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -553 - -718. Let c = s - -26. What are the prime factors of c?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 549 and 15372?\nAnswer: 15372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 9:54 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from sssjslslsjslssssqqss.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -9\/158, -0.32, -1\/3?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -329 + 1357. Let b = h - 549. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 31*p**3 + 5*p + 5. Let h(n) = -30*n**3 - 4*n - 4. What is 5*h(r) + 4*k(r)?\nAnswer: -26*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41445, 165876, 373263, 663606, 1036905, 1493160?\nAnswer: 2032371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2882 - 2872 - (0 - 34).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**3\/3 - u**2\/2 + 16*u - 66. Let z be b(-4). Solve -5*m - 5*j + 6 = -9, -9 = -z*m - 3*j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(21))\/sqrt(3) + (1 + sqrt(847))**2 + (sqrt(35)*2)\/sqrt(5).\nAnswer: 21*sqrt(7) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 z when three letters picked without replacement from {v: 2, f: 2, u: 1, z: 7}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111052 to the power of 1\/2, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = w - 3*w + 2, -2*h - w = 2. Let x = 46 + -44. Suppose 2*i = 4*i + 6. Sort i, x, h in decreasing order.\nAnswer: x, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*c - 8 = 7, 4*z + c = 20. Let u(n) = n**2 - 8*n + 9. Let o be u(7). Sort z, -1, o.\nAnswer: -1, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 - i**2 + 0*i**2 + (579 + 70 + 137)*(-5*i**2 + 4*i**2 - i**2).\nAnswer: -1570*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 25*k**2 + 81*k + 414. Let w(g) = -8*g**2 - 2*g. Let x(v) = -4*q(v) - 12*w(v). Suppose x(d) = 0. Calculate d.\nAnswer: -69, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -298 - -41?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, -47, -4 in decreasing order.\nAnswer: 6, 2, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571713*q - 571709*q = -148 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -29. Suppose -4*m = z*d - d - 134, 4*d - 4*m - 136 = 0. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -31538, -4, 13, -1\/6 in descending order.\nAnswer: 13, -1\/6, -3, -4, -31538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -57858 at least -57866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 4, c: 4, q: 4}. What is prob of sequence oo?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -897809 - 0.2691237.\nAnswer: -897809.2691237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u + 0 - 3 + u + 2. Let x be f(5). What is the units digit of (2 - 3)\/(2\/x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 146 (c) -3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 33*l. Let o(x) = x. Determine -44*o(c) + w(c).\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (213\/1136)\/(((-4)\/((-64)\/2))\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 344893926643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**4\/2 - 5*n**3\/3 - 5*n**2\/2 + 7*n + 1. Let b(f) = -f**3 + 2*f**2 + 2*f - 3. What is -5*b(u) - 2*z(u)?\nAnswer: u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*r + 2 + 37*r**2 - 10*r + r as z + y*r**2 + v*r and give y.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*i - 2174, -6*f - 2*i = -7*f + 2170. What are the prime factors of f?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/(-48) - -5 - 2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 46*k**2 + 480*k - 2656 = 0.\nAnswer: -332\/23, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 4*q**2 - 3*q. Let w be t(-3). Suppose 2 = -4*z + 5*o, w = 2*o - 4. Let n = z + -4. Which is smaller: -2\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8875.840013 + 8873.34. Let y = -2.5 - p. What is y rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -1\/3, -1\/29?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.89 - 66.89. Let q = l - -65.7. Which is the biggest value? (a) q (b) -5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -17*t**4\/4 + 11*t**3\/3 + 3*t - 1. Let s(w) = w + 2. Let h be s(9). Let l(x) = 6*x**3 - 4*x**2 - 1. What is h*l(n) + 4*z(n)?\nAnswer: -2*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n - 2*b, -12 = -n + 2*b. Solve 0*v = v + n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/7, -7\/2, 3\/4, 0, 3\/7, 0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22, 14, 10, 16, 38?\n\"Answer: g**3 - 4*g**2 - 3*g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -4, -3 in ascending order.\nAnswer: -4, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 48*w - 88. List the prime factors of t(12).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 747 = -8*s. List the prime factors of s\/(-20)*(-5)\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - (-164)\/(-16))\/(21\/(-56)). Solve q*z = 65*z + 189 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 47 = -5*h, 45*h + 2*a + 7 = 42*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 minus -795394?\nAnswer: 795370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 1105, 3502, 8115, 15682, 26941, 42630?\nAnswer: 63487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*n - 4*r - 60, 0 = -2*n - 4*r + 30. What is the greatest common factor of 65 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268421 to the power of 1\/2, to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 108*j + 113*j - 25 = 0, 5 = -f + j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -t - 0*a - 56, 0 = 5*a + 25. Let f = -29 - t. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 - 4 + 85*c**3 - 11*c**2 + 26*c**2 + 2.\nAnswer: 85*c**3 + 9*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113254 is divided by 37738.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89 or 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most 2185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.13 + -0.186. Let p = i + -0.044. What is the smallest value in -1\/3, p, 1\/2, -1\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*j + 108 = 0, 11*p + 162 = 14*p - 3*j. Let n be 18\/27 + 9\/(p\/388). Determine s so that 56\/3*s + n*s**2 + 4\/3 = 0.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 103133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/sqrt(5)*3 + sqrt(76)*-5)*1.\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74)\/407*(-11)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 10:25 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*o + 11, -5*o + 85 = 5*j - 0*o. Let v(p) = -3*p + 4. Let q be v(5). Let x = q - -19. Solve -2*f - 2*w - x = 0, f + j = 3*f - 4*w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2886 and -35\/39.\nAnswer: 2886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = 17*d + 23 - 35 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-3))\/((-5)\/(-30)). Is 6 + (-2 - (0 + b)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -506*t**2 + 375*t - 9. Let q(j) = 127*j**2 - 94*j + 2. Let v = -47 - -38. Let w(n) = v*q(n) - 2*z(n). Find the second derivative of w(a) wrt a.\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -282*c**4 - 334*c**2 wrt c.\nAnswer: -6768*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1606, 3218, 4830, 6442, 8054?\nAnswer: 9666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 546 or 545?\nAnswer: 546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468*q + 4408 = -460*q. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89 - 16 - 68 - -64?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 172866, 345415, 517968, 690525, 863086?\n\"Answer: 2*q**2 + 172543*q + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/1205 - -1209\/2410. Determine m so that -w*m**3 + 1 + 1\/4*m**4 + m - 3\/4*m**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -13*z + 784. What is the remainder when 446 is divided by z?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 539374055.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -34250, -0.3, -2\/5 in decreasing order.\nAnswer: -0.3, -2\/5, -59, -34250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10 = 70. Let r = -9 - n. Let w(a) = -a**r + 28 + 0*a + 0*a**3 + 132*a**2 - 133*a**2 - a. Calculate w(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17565567 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -601512*j. Let k(g) = -2179*g + 2. Calculate t(k(a)).\nAnswer: 1310694648*a - 1203024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*x - 2*x + 3*x)*(1 + 2 - 1) + 6*x + 5 - 5 + (1 - 1 - 2)*(4*x - 6*x + 0*x).\nAnswer: 150*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2. Let v(i) = -35*i. Calculate l(v(w)).\nAnswer: -2450*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 80, 126, 174?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2155 - -2159. Solve 12*g + c*g = -32 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - sqrt(77)*2))*4)\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90425165 to the power of 1\/2, to the nearest integer?\nAnswer: 9509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -13*z**4\/4 - 2*z**3\/3 + 5*z**2\/2 + 5*z - 42. Let l(h) = -7*h**3 - h**2 + 3*h + 3. Give -3*b(t) + 5*l(t).\nAnswer: 4*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.3 + -2.1. Let r = -254\/7 + 36. Let s be 0 + 1 - (-33)\/(-27). What is the nearest to r in s, 3, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 19. Suppose -t*f + 0*f - 24 = 0. Is 0 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*s - 34838, 139404 = -4*a + s - 6*s. Let r = -1045267\/30 - a. Find the common denominator of r and (-1 + 31\/(-6))\/(5 + -7).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 57*h**2 + 243*h - 54. Determine j(-61).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i - 10*i - 72 = 0. Let z(c) = -5*c - 11. Let p be z(i). Sort p, 2, -4, -41 in decreasing order.\nAnswer: 2, p, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 353 and 3773923.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -6 + c + 5\/3*c**3 + 29\/10*c**6 + 0*c**2 + 0*c**5 + 1\/12*c**4. What is the third derivative of q(d) wrt d?\nAnswer: 2088*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 13, -0.198, 5, 379?\nAnswer: -0.198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14480758?\nAnswer: 2, 2269, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 44030*v + 616621. Determine s(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/36 and -67\/1992.\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, k: 6}. What is prob of sequence fkf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b + 1. Suppose -760 = -3*v + 6419. Let a(h) = 2393 - v + 3*h. Determine c(a(z)).\nAnswer: 18*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25002641 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.21? (a) 2 (b) 2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -32 (b) 6.16 (c) -0.1 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 - 76. Let j(b) = -36*b**3 - 2*b**2 - 3*b - 13. Let h be j(w). Suppose h + 305 = 5*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*g**5 + 7*g**5 - 8*g**5)*(-12 + 7 + 19 + 14).\nAnswer: 252*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -6. Let t(x) = x**2 + 6*x - 9. Let a be t(-7). Let l = 58\/51 - 8\/17. What is the closest to -0.1 in a, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2394 and 277476?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*-1*sqrt(156))\/(sqrt(768)*1) - 1*(2 + -1 + sqrt(1573) - sqrt(1573))*1.\nAnswer: sqrt(13)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 8, -6*y + 2*y + 5*a + 38 = 0. Let g be y + 3*16\/(-12). Let u be 8\/(-12) - g\/6. What is the smallest value in -0.3, -5\/2, u?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 2*l**3\/3 - 11*l**2\/2 - 32*l. Let o = 11 + -6. Is d(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l + 3*l**3 - 7*l)*(-271 - 19*l + 271) + 13*l - 13*l + 4*l**4.\nAnswer: -53*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Let o be 33\/77 + (-114)\/21. What is the smallest value in o, 0.2, f, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 47*l - 3. Let m(a) = -47*a. Give y(m(d)).\nAnswer: -2209*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 150097484 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*g**3*z**3 - 10*g**2*z**3 - 5*g**2*z - 3*g**2 + 83*g*z**3 + 2*g + 5*z**3 + 2 wrt g.\nAnswer: 48*g*z**3 - 20*z**3 - 10*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40430 + -4?\nAnswer: 40421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.005 + 3.905. Let v = f + -2.92. Round v to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 576, 573, 570, 567, 564, 561?\n\"Answer: -3*h + 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-105) + 6\/15. What is the second biggest value in -1\/25, -2, -5\/2, v?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 79 - 115. Which is smaller: -20 or n?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 332 (b) 2 (c) 0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004793636708 to five decimal places.\nAnswer: 0.00479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 - 2*w**4 - 2 + 0*w**4 - 2*w**3 + 2*w**4 + 7*w in the form v*w**3 + y*w**4 + u*w**2 + i + r*w and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -143\/320 - -3\/64. Let i = 0.0031 + 1.9969. Let u be 2\/7 - (-36)\/70. Which is the closest to 1? (a) i (b) n (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 - -69. What is the greatest common divisor of b and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -46.5. Which is the third smallest value? (a) 5 (b) 3\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 2290380?\nAnswer: 2290380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8851000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -7. Solve 3*z + q = -w + 5*z, -5*z = 4*w - 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(75)*-2 + sqrt(75) - sqrt(75))\/sqrt(5))\/(sqrt(180) - sqrt(60)\/(-1*sqrt(12))) + -4.\nAnswer: -4 - 6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 8. Solve -7 = 2*s + 5*y, s + 2*y - 4*y = g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -115\/6 (c) 0.5 (d) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 13*o**2 + 4\/3*o**5 + 10\/3*o**3 + 85\/24*o**4 + 0*o + 0 + 1\/8*o**6. Find m such that w(m) = 0.\nAnswer: -4, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-159)\/(-25)*(-690)\/207*25\/20?\nAnswer: -53\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2398588481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126 + 98. Let w = p + 31. Solve 4*j + w*m = 3*j - 7, -4*m + 9 = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 83*u + 47*u**2 - 6 - 21*u.\nAnswer: 47*u**2 - 104*u - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Let x be 1\/(1 - (-4)\/(-5)). Solve -9 = x*n - o*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7858*p**3 + 15419*p**3 - 7557*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 17\/3, 2, -1\/4, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 9*u**2 + 9*u + 23. Let n be h(-10). Does 6 divide n - (-3 + (2 - -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -2\/7, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 1:39 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-9) - (-10)\/6. Let j be (-2)\/(m\/((-15)\/10)). Suppose 3*n - 18 = -j. Solve n*i = -29 + 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -17. Let j be 44940\/(-20)*q\/(-2). Suppose 0 = 5*n - 198 - j. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4 - 308703*z**3 + 85972455*z**2 - 7990612173*z + 247634172162 = 0 for z.\nAnswer: 93, 102622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023941 to seven decimal places.\nAnswer: 0.0000239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -9, 87\/7?\nAnswer: 87\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 9*v + 8. Let g be t(-9). Suppose 0 = -2*p - 4*r - 8, 0*p - g = -2*p + 4*r. Solve 3*f + 0*f = p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2.1. Let m = 7.83 + 0.17. Let w = m - 7.7. What is the third smallest value in l, w, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -2 (b) -5 (c) 2\/9 (d) 30.1 (e) 4 (f) -319\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151755915?\nAnswer: 3, 5, 10117061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**4\/3 - 74*q**3\/3 + 25*q**2 = 0?\nAnswer: -75, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**3 + 139*v**2 - 1630*v + 41092. What is l(27)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 4*m = 52, -3*m + 188 = 5*x + 149 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2595 - -464. What is the greatest common factor of 19 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.2481779 weeks?\nAnswer: 150097993920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 7*w**2 - w + 3. Let u be k(7). Let c(t) = -6*t + t + 3*t - t. What are the prime factors of c(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011000110010111 - -1001101010100?\nAnswer: 10100010011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = t + 3*y + 23, 3*y = -t - 15. Let r = 5 + t. What is the third derivative of -5*h**6 - 42*h**4 + 42*h**4 + h**r - 5*h**2 wrt h?\nAnswer: -600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -876*r**4 - 2*r**3 - 123*r + 0*r**3 + 13 + 11 - 22 + 0*r**3 wrt r?\nAnswer: -10512*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 16 = 4*w - 5*w, -3*w - 4*t = -15. Is (1359 - (-1)\/(5\/(-10)))\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6\/(-60)*2 - 363\/(-15) and 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 67*u + 3*u**2 + 13 - 4 - 66*u + (2 - 5 + 2)*(-2*u**2 + 22 - 22).\nAnswer: 5*u**2 + u + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 u, 1 j, and 1 w when four letters picked without replacement from ejjwewjweennueeeee.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a - 369. Calculate the remainder when a is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**5\/60 + 19*l**4\/24 + 7*l**3\/2 - 29*l**2 - 2*l. Is q(7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q - 30 = 0. Suppose -q = -53*l + 47*l. Suppose 0*b - 2*b = -8. Solve p - b = 2*p, 3*h = l*p + 32 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g + 6. List the prime factors of c(-16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3*s + 64809, 0*o + 5*o - 11*s - 108047 = 0. Is 31 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w - 155 = -3*a, a = -2*w + 45. What is the remainder when a is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22231 (base 4) to base 11\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4502 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2335 + -0.6335. What is the closest to 0.04 in -1\/4, 1, h, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 3*v - 8*v - 5*q, 2*v + 3*q = -12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-213)\/(-144) + (-75)\/45. Which is smaller: 2\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 - 4*o - 5. Let y be v(-3). Suppose 0*m - h = -4*m + 54, 2*m = -2*h + 22. Suppose 0*f + m = 2*f - w, 5*f - w = y. Which is smaller: 5 or f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5 + 2. Let g be v\/2*(55\/5 - 7). Suppose -g*h = -57 - 43. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n. Let d(v) = -4*v**2 - 5*v. Let y(z) = 19 - 4*z - 5*z**2 - 2*z - 19. Let q(m) = -6*d(m) + 5*y(m). Determine q(o(w)).\nAnswer: -81*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 7 + 13. Suppose -5*f + w*g = -110, -f + 17 = -4*g + 4. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 282799213 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*w = 4, 0*w = l + 2*w + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 - -107. Solve -t = 3*i - 0*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.172 - 0.128. Let t = -2 + 1.2. Let u = 0.2 - t. Which is the second biggest value? (a) u (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 20*g**2 + 924*g - 1160. Let j(b) = -b**2 + 9*b + 4. Let q(s) = -2*f(s) - 36*j(s). Determine k, given that q(k) = 0.\nAnswer: -544, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or -872\/19?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 2. Let s(u) = u**3 + u**2 - u. Let f(y) = 6*y**3 + y**2 - 5*y - 5. Let o(g) = -f(g) + 3*s(g). Is o(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9987 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -245 - -250. Solve -y*u = -7 + 22 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**5\/60 + i**4\/12 + 3*i**2\/2 + i. Let v(q) be the first derivative of b(q). Determine z so that v(z) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2951413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**5*s - 48*j**4*s + 2*j*s + 5*j - 1 wrt j.\nAnswer: -20*j**3*s - 576*j**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1412*l**3*x**2 - 3770*l**3*x - l**3 - 2*l*x**2 + 26*l*x - 21*x**2 wrt x.\nAnswer: 2824*l**3 - 4*l - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) -0.8 (c) 5 (d) -5 (e) 5.602 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.3 - -11. Let k = z - 7. Let v = k - 1.7. What is the nearest to -5 in v, 3\/8, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14719 is divided by 2438?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -125.2 and -0.1.\nAnswer: 12.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 214 = -r, 0 = -3*r - 0*m + m + 634. Let j = -101 + r. Calculate the greatest common factor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/21 and (-128)\/(-15) - (7 - 3).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14664825289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47.954 - 48. Let v = -3.9 - -3.344. Let t = d - v. Round t to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*b - 8666631 = -8667006 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 y, and 1 n when four letters picked without replacement from ruynnranrrruu?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (4 - 53 - 1)) + (149 - 154).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1538 divided by -229?\nAnswer: 1538\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j - 1. Let r(p) = 9*p**2 + p + 1. Let d be r(j). Is (-3)\/(d\/(-75))*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -370, -368, -366, -364?\n\"Answer: 2*i - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3.6, 2\/7, 1\/6?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 69 = 5*d + 59, 0 = 2*t + 5*d - 15. Solve y - 20 = t*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h + 4*h)*(-2*h**2 + 5*h**2 - h**2).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from oodpfuoo?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(6\/(-110)) - (-2)\/1 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 13 + 11 = 0. Let j be 0 + 18 + (x - 0). Solve 5*a + f = 3*f + j, -10 = a + 4*f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b + 493 = b - 452 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s + 4*s + 1 + s - 1 - 1 + 1 - 3*s + 4*s - 2*s - s + (0*s - 2*s + 0*s)*(-1 + 4 - 1) + 3*s - 5*s + s - 2*s - 9*s + 2*s - s - s - s)*(0 + 0 - 1).\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 - 86. Find the second derivative of 48*q**3 + 50*q**d + 17*q**2 - 100*q**3 + 2*q**2 + 36*q wrt q.\nAnswer: -12*q + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4373 + 2533. Let d = 1430 + -2587. Let x = d - r. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468246.17 rounded to the nearest 100?\nAnswer: 468200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -4*z + 2, 530 - 375 = 3*d + 82*z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -118*g**2 + 125*g**2 - 3 + 2 + (4 - 4 - 3*g)*(3*g + 3*g - 4*g) - g**2 + 0*g**2 + 3*g**2.\nAnswer: 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/468 and -27\/32?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 19*d - 431. Let t be c(22). Put 0, t, 2, -1 in descending order.\nAnswer: 2, 0, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-2\/7)*r**(-3\/8)*r**17*r**(-16) assuming r is positive.\nAnswer: r**(107\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 26*a - 4*k = -761948, -3*a + 571475 = -4*k. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16 - 19 - (18 - 19). Sort -4, 6, t, 0 in increasing order.\nAnswer: -4, t, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 4, g: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5400685 (base 9) to base 15\nAnswer: 3c270e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2277 - 4*q + 2277. Let u(g) = 17*g**2. Give v(u(j)).\nAnswer: -68*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9416 divided by -2740?\nAnswer: 2354\/685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1313\/(-130) - (-58)\/580\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 1:05 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**3 + 2*x**2. Let t(m) = 25*m**2 + 10*m - 24*m**2 + m**3 - 10*m. Determine 5*a(z) - 10*t(z).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 4*l - 4*l)*(-33 + 75 - 60 - 7*l**3).\nAnswer: 14*l**4 + 36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 2*d - 10. Let i(b) = b**2 + b + 5. What is -5*i(p) - 3*z(p)?\nAnswer: -2*p**2 + p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 + 42*s - 47. What is n(-19)?\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 394000 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*h + 22 = 0, -g = 4*h + 63 - 74. Suppose 15 = d - 16. Calculate the remainder when d is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 196179 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.008 * -121.54.\nAnswer: 0.97232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 10. Let q be f(-7). Suppose -2*d - 10*m = -6*m - 4, -2*d = 5*m - 5. Solve 5*t - g - g - 7 = d, 15 = t + q*g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjsjluccujull. What is prob of picking 1 s and 1 u?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**3 + 69*v**2 - 204*v + 304. Give h(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-44)\/10)*12\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*g**2 - 7 + 3 + 4 as o*g**2 + u + x*g and give o.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 74*s**3 - 4*s**2 + 2*s. Determine b(1).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -86, -174, -262, -350?\n\"Answer: -88*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 5 = -4*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*48\/280)\/((-264)\/(-42))?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7533389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7407 at most as big as 7407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 51120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -26 + 15\/2*f**4 - 20*f + 30*f**2 - f**5 - 65\/3*f**3. Find l such that d(l) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2312 - -2340. Let x(m) = 10*m**2 + 14*m. Let s(y) = -y**2 - y. Give u*s(c) + 2*x(c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 135\/972*424\/(-53)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*k = -40*k + 40 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 (base 14) in base 4?\nAnswer: -10323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.089476 centuries to years.\nAnswer: 808.9476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 579786 at least 579766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9400758 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5 = 0, 5*x = -4*b - 0*b + 29. Let p be ((-44)\/5)\/((-42)\/15 + 3). Let w = 44 + p. Solve w = 2*u - 5*d - 4 + b, -d = 2*u - 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14796417 equal to -14796411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 12. Let h = -1 + 3. Let a(o) = -2*o**2 - 3*o**h - 2 + 3*o**2 - k*o + o**3. Give a(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**3\/5 - 8*r**2\/5 + 64*r\/5 + 512\/5 = 0?\nAnswer: -8, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/5 - (-6)\/(-15). Solve 5*h - 2*g = -2, l*h = h - 3*g - 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*g**2 + 1 + (g - g + g)*(g + g - g) + g**2 - 6*g**2 + 3*g**2 + 5*g**2 - 2*g**2 - g**2 + 96*g**2 + 124*g**2 - 201*g**2.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-15)\/5 - -55. Suppose -x = -4*c + 175. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeceecceec. Give prob of sequence cee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 7. Suppose -2*d - 12 = 2*p, 4*d - 6*p = -4*p - 30. Let f be w(d). Let q(a) = -a**3 + a + 6. What are the prime factors of q(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 807, 810, 823, 852, 903?\nAnswer: 982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -89, -197, -323, -473, -653, -869?\n\"Answer: -b**3 - 3*b**2 - 92*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -204, -186, -170, -156, -144, -134, -126?\n\"Answer: -b**2 + 21*b - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.904 * 0.04.\nAnswer: -0.03616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -377 + 171a2?\nAnswer: 16a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7006, 14023, 21040, 28057, 35074, 42091?\n\"Answer: 7017*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x - 3. Let c(d) = 6*d + 4. Let r(n) = -3*c(n) - 4*o(n). Let k(u) = -8*u**2. What is r(k(h))?\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -4, -3.8058?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 10) in base 13?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1203 and 402.\nAnswer: 161202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 33*v**2 + 6*v - 34. What is the units digit of q(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 409906 and 94962.\nAnswer: 146336442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -10*o**2 - 4*o. Let x = -40581 - -40585. Let p(z) be the second derivative of 2*z + 0*z**2 + 1\/6*z**x + 0*z**3 - 8. Give v(p(n)).\nAnswer: -40*n**4 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 2889?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 45 = 5*t. Suppose -7*h + 12*h + t = 0. Sort -2, h, 1.\nAnswer: h, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**3 - 13*s**2 - 2*s - 14. Let j(h) = 30*h**3 - 54*h**2 - 9*h - 60. Let i(c) = -13*a(c) + 3*j(c). Let q = 19 + -12. Determine i(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 97*x**2 - 57*x + 408. Calculate s(49).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 822309 to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 1777*i**8\/112 + 7345*i**4\/24 + 3225*i**2. Find the second derivative of h(f) wrt f.\nAnswer: 106620*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*o + 645, 0 = -2*o - 0*o - 2*a + 258. Suppose 0 = 2*c + q - 12, c + 0 = 3*q - 1. Suppose -5*z + 431 = c*j - 274, 5*j = z - o. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3335 and 6785.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6939397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*s + 111*s - 26*s - 29*s - 25*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448168.\nAnswer: 2, 7, 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {h: 6, x: 2, q: 1, f: 2, s: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**5 + 84*u**4 - 92*u**3 - 84*u**2 + 88*u = 0.\nAnswer: -22, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 19634 divided by -407\nAnswer: -19634\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2263*g + 2263*g + 17*g**2.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7422514 is divided by 558?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1153 is divided by 62.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + -46. Suppose 3*s - h = -22. Let k = -6 - -11. Put k, 0, s, -3 in increasing order.\nAnswer: s, -3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/9))**(-6\/7) assuming w is positive.\nAnswer: w**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (6 - 3) + 1. Suppose 2*b - 278 = -4*x, 0*x + 4*x - 293 = y*b. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*j - 54*j + 30*j - 5 + (j - j + 2*j)*(-2 + 6 - 1).\nAnswer: 12*j - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from nnnppnnpnppnpnpn?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in 3, 4, 0, 10\/7, -0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 90 or 3?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -58 + 57 - (-2 - (9 - 0))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 1. Let t(v) = -12*v - 6. Calculate 9*r(c) - t(c).\nAnswer: 3*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -1\/2*v**2 + v + 1. Does 5 divide d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - j + 336, -3*o + 796 = -2*j - 232. Suppose a = -4*b + o, 0 = -3*a + 12. What is the highest common divisor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/15)\/(76\/(-6))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.5 + -100.8. Let q = 80 + t. Which is the second biggest value? (a) -2\/7 (b) q (c) -101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**3\/3 + 15*j**2\/2 + 18*j + 2. Let t be m(-14). What is the second derivative of -3*d - 8*d - 7*d**t + 7*d wrt d?\nAnswer: -84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88*p**3 + 348*p**2 + 16*p.\nAnswer: -4*p*(p - 4)*(22*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 4*g**2 - 4*g. Let r be b(-3). Solve -4*q - 3 = 2*l - 17, r*q + 3*l = 15 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.8 - 2.8. Let i = -10.7 + l. Let k = 2\/53 - 218\/159. What is the second smallest value in k, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 41*u**3 + 1430*u**4 - 1401*u**4 - 4 to d*u + t + m*u**4 + x*u**2 + s*u**3 and give m.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*q + 2 + 0*q)*(-170 + 96 + 145).\nAnswer: 142*q - 71","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -20120 (base 3) in base 8?\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (56 - 69) - 33\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 147334328 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 42 = -4*l + 6*l, 3*l - 5*h = 19. Suppose 3*y = 3*t + 345, 2*t = -2*y + 159 + 79. What is the greatest common factor of l and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2 - 14*u. What is the remainder when w(5) is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - 92\/(-16) - (-2)\/8. Suppose u = -4*d + 22 + 1922. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 a factor of 313170432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.03 times -2990?\nAnswer: -6069.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s + 4 - 5 - 4. Let l be g(-5). Solve -3*r + l = -2*q + 1, 0 = 2*r + 5*q + 19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153259889 plus -0.87?\nAnswer: -153259889.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 5)*(315\/20)\/9. Let l(w) = -5*w - 1. Let f(n) = -9*n - 4. Let u(y) = s*l(y) - 4*f(y). What is u(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 24 = 8*c, 6 = 2*c - 28*i + 27*i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 56. Suppose 3*j = 6*j - o. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 41 - 20*g)*(-13*g + 1 + 1 + 14*g).\nAnswer: -20*g**2 - 40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20, 72, 218, 506, 984, 1700?\n\"Answer: 8*n**3 - n**2 - n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15950*m**3 - 22635*m**3 + 14045*m**3 + 804*m**3 - 22767*m**3.\nAnswer: -46503*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 7039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -28295593805 to the nearest one hundred thousand.\nAnswer: -28295600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25724 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6071 (base 12) to base 11.\nAnswer: -7943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*d + 3*t, -47*d + 46*d = 3*t + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 8:33 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -60*h + 35*h + 35*h. Solve 54*z = -h*z - 504 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11997 or 11999?\nAnswer: 11997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*i**5 - 20*i**5 - 9*i**5 + (-2*i**2 + 2*i - 2*i)*(-8*i**3 + 5*i**3 - 14*i**3).\nAnswer: 12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(900)*1 + sqrt(900))\/(sqrt(12)\/(sqrt(4) + sqrt(4)*-3*-3 + sqrt(4))))**2.\nAnswer: 1778700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 180 + -174. Let o = 1550\/9 + -172. What is the third smallest value in o, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12751*k + 12754*k + 56 = 5*c, -2*c - 66 = 4*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = -0. Let a be 2*(9\/l)\/(-3). Let p = -3 - a. Is 0 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 199. Suppose -p*v + 173*v = 22. Solve -v*u + 1 = 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 525, 2015, 4469, 7887, 12269?\nAnswer: 17615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((5*(sqrt(567)*5 + sqrt(567)))\/sqrt(9))\/(-3*sqrt(3600)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6\/413, -4 in ascending order.\nAnswer: -4, -6\/413, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*n + 0)*(-7*n**3 + 9*n**3 - 8*n**3).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 336 = 3*u + 840, 0 = 3*b + u - 1176. Let i = b - 82. Find the common denominator of -17\/11 and i\/(-28) - -1 - -2.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468985 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + sqrt(637).\nAnswer: -2 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 6*a**2 + 7*a + 7. Let x be (3 + -7 - -3)*7. What are the prime factors of b(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/15 - (-4)\/(-6)) + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/585 and 32\/3?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 24 (c) 2\/7 (d) -0.4 (e) 4\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2037 - 2205.8. Let v = t + 169. What is the nearest to v in -1.1, -0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62592.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + 3 - 3 + (0 + 0 + 1)*(b**2 + 2*b**2 - 2*b**2) + 0*b**2 + 5*b**2 - 4*b**2 + 0*b**2 + 3*b**2 - b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -838*b*c**5 + b*c - b - 2*c**5 + 3*c**2 + 43*c - 1 wrt c?\nAnswer: -16760*b*c**3 - 40*c**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 3. Suppose -5*l = -6*l + w. Let r = 8 - l. Solve r*b = -3*b - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 16, 3 in increasing order.\nAnswer: 3, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(1 - 0) + -12. Let h be (-8 - f)*(2 + -1). Suppose 5*p + j = 15, h*p + 3*j - 4 = 11. Solve -p*t + 4 = 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -27*w - 108. Let s be m(-4). Let k(l) = -5*l**2 - 3*l + 7045. Is k(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-17)\/(-5))*((-640)\/12)\/(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*h + c, 0*h + 3*c - 4 = 4*h. Suppose -17 - 7 = -4*l. Let n = l + -2. Solve h*f + u + u = 2, n*u = 5*f - 32 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - -1. Let a = 0.9 - z. What is the second biggest value in 4, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 1 - 8) + -5 - -7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 3. Let g(t) = 4*t**2 + 4*t - 6. Let c(o) = -5*o**2 - 5*o + 5. Let i(k) = 3*c(k) + 4*g(k). Let s be i(-4). What is n(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 1922?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 55\/4 of a milligram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.039927 and -0.04.\nAnswer: -0.00159708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595790 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + -210011001?\nAnswer: -210011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697 a factor of 461993624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 8:55 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -18. Which is the closest to 2? (a) n (b) -1\/3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 0.1107.\nAnswer: -0.08856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99.4 - -10.4. Let f = z + 88.99752. What is f rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 - 13627560*y**3 - 122647878*y**2 - 367943472*y - 367943391.\nAnswer: -3*(y + 3)**3*(y + 4542511)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + 23. Find the common denominator of (154\/(-6))\/((-120)\/36) and -1 + -1*(-393)\/j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-14)\/z*z*z\/(z*z**(-11)\/z)*z*z)\/((z*z**(3\/4)\/z)\/(z*z**(-6)*z)) assuming z is positive.\nAnswer: z**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, v: 2, k: 1, l: 4}. Give prob of picking 1 l and 1 v.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4554 (b) -54 (c) -8 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16932, -16931, -16930, -16929?\nAnswer: -16928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 7:49 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 16769 = 2*f, -23276 = -4*f + 2*l + 10270. What are the prime factors of f?\nAnswer: 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 13*m - 7. What is x(-12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**1))**(-2\/159)*z**(2\/7)*z\/z**(2\/3)*z*((z**(-1))**17)**(-9\/8) assuming z is positive.\nAnswer: z**(184817\/8904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 6780914?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5651 = -3*v - 3*f + 2737, 0 = -5*v - 4*f + 13981. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670367222 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 3*n**2 - 2*n + 7. Let p be m(-4). Let v(h) = h**2 + h - 1. Let i(x) = -x**3 - 9*x**2 - 4*x. Let g(j) = p*i(j) - 3*v(j). Determine g(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5082 = 88*l - 66*l. Calculate the highest common factor of l and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23.71 + 0.71. Which is smaller: b or 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153076809 divided by -3.\nAnswer: 51025603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 14 = q, -5*t = 2*q - 4*q - 16. Suppose s = -2*f - q*s + 11, 22 = 3*f - s. Let g(m) = 2*m. What are the prime factors of g(f)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 6*h = 4*l - 11389, -3*l + 2*h = -6839. What is the remainder when l is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63 in 1, -30, 7, 2\/17?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 34441021?\nAnswer: 34441022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5 + 29 + 8*g**2 + 3*g - 261 - 9*g. Let q(s) = -10*s**2 + 5*s + 226. Let v(h) = 2*q(h) + 3*x(h). Find the first derivative of v(w) wrt w.\nAnswer: 8*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2540203*d**4 - 20442159*d**2?\nAnswer: 60964872*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*z**2 - 51*z**2 + 8 - 8.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99763965.\nAnswer: 3, 5, 7, 19, 79, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 133 = -2*g + 157, 4*g = 3*n - 6. Let u(w) be the second derivative of 0*w**g - 9*w**2 + 0 - 18*w - 5\/4*w**4. What is the derivative of u(q) wrt q?\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -847, -5 in decreasing order.\nAnswer: 2, -5, -847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2062*k - 453661 = 6749*k - 234*k + 344000 for k.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -22*n**3 + 15*n**2 - 13*n. Let r(s) = -5*s**3 + 4*s**2 - 3*s. What is -6*o(y) + 26*r(y)?\nAnswer: 2*y**3 + 14*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 4*i**2 - 7*i + 6. Let c be w(5). Let l = -13 - c. Let b = 3 - l. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 7*d**6\/120 - d**3\/6 - 23*d**2. Differentiate j(o) wrt o.\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.31 + 19.41956. What is v rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -370231, -740463, -1110695, -1480927, -1851159, -2221391?\n\"Answer: -370232*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 119*k**2. Let s(z) = -2020*z. Determine s(o(a)).\nAnswer: -240380*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 2*a**2 + 12*a - 4. Calculate k(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4859.3 + 4859.155939. Let o = 0.144 + n. Round o to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -1) + ((-3 - -23) + 2 - (-590 - -604)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17309 + -120027\/7. Let s = n - 162. Let i = 61 - 303\/5. Which is the third biggest value? (a) i (b) s (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144614 is divided by 48193.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 211813*v**3 + 0 - 211814*v**3 + 3*v.\nAnswer: -v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 45663 (base 8) to base 12\nAnswer: b26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33091765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21554 (base 6) to base 12\nAnswer: 18ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okkgp. Give prob of sequence kpok.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z. Suppose z = 2*c - 7 - 1. Suppose 2*l = c*l - 128. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:59 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**3 - l**2 + l + 5. Let g(m) = -m**3 + 1. Let q(u) = -2*g(u) - j(u). Let f be q(0). Let o(z) = -z - 12. Give o(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18\/7? (a) -5 (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j = -24 + 45 - 21. Solve 5*o = 2*l + 2, j = 3*l - 0*o - 5*o - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 5*w**2 + 9*w - 27. Let x be t(6). Let d be 4\/((-16)\/(-12)) + x. Is d\/(-24) - 18729\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665192565 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3571.6 * 914.\nAnswer: -3264442.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/5243 and -4\/5243.\nAnswer: 5243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40492 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 7 = 15. Solve f*n + 0*l - 20 = -l, l = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452034 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 v(z) = -10*z**3 + 221*z**2 - 422*z + 33. Calculate v(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2, 9\/7, 31\/3 in decreasing order.\nAnswer: 31\/3, 9\/7, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-72)\/7 - 8\/(-28). Let y = l - -13. Solve 24*j + 33 - y*j**2 - 38 - 43 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vj when two letters picked without replacement from jvfryqfy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 299\/1537?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a millimeter in micrometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9294 is divided by 272?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2865069 - 20.5.\nAnswer: -2865089.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 464 + 1714?\nAnswer: 2278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + v + 0*v)*(0*v**2 + v**2 + 0*v**2) + (-5*v + 5*v + 4*v**2)*(-11*v + 12*v - 12*v) as t*v**3 + p + l*v**2 + k*v and give t.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**3 + 5*z**3 - 25*z**3 + (-4*z + 4*z + z**2)*(-3 + 0 + 1)*(124*z + 216 - 216) in the form r*z + a + s*z**3 + u*z**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddeee. Give prob of sequence eee.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 50*r**2 + 3*r - 3. Let j(b) = 93*b**2 + 6*b - 5. Let y(p) = -3*j(p) + 5*o(p). Give y(-2).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*h = 282, -345 = -5*n - 3*h + 360. Suppose -5*x - 16 = -n. What is the remainder when 109 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + ((-10)\/(-2) - (37 - 25))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 66 = 2*x, -4*j + 48 = -6*j + 2*x. Let y = j - -31. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 314 + 336 = 0. Is 26 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2, -0.04, -0.3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 14*j + 10. Calculate d(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1972.4 take away -0.1?\nAnswer: -1972.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -2\/3, -5, -0.3, -11742, -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + o + 8. Let a be 3\/(-6)*(-1 + 1). Let g be k(a). Let q = 12 - g. Solve 2*s + 3 = 5*l, -2*s + 0*l - 2 = -q*l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**4 - 7*b**3 + 1956*b**2 + 58604*b?\nAnswer: -24*b**2 - 42*b + 3912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-3 - 44) - ((-27 - -50) + -21)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.1 - -9.9. What is the nearest to -0.1 in 2\/3, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 35*x**4 - 15*x**3 - 105*x**2 + 55*x. Let h(n) = 5*n**4 - 2*n**3 - 15*n**2 + 8*n. Let v(l) = -15*h(l) + 2*o(l). Factor v(u).\nAnswer: -5*u*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4981, 9960, 14939, 19918, 24897, 29876?\n\"Answer: 4979*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920906301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 113*t - 768*t + 0 + 638*t.\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -767 or -12909?\nAnswer: -12909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c = 44*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 4*x + 551. Calculate n(-20).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40714, -10, -5 in ascending order.\nAnswer: -10, -5, 40714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a - 4*a - 2*a)*(-5 - 2 + 0) + 30*a - 56*a - 81*a.\nAnswer: -114*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/11 (b) 0.1 (c) 2 (d) 4 (e) 219 (f) -2 (g) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*j = -116510, -v - 2*j + 291296 = -6*v. List the prime factors of v\/(-140) + -2*(-3)\/(-42).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-231)\/(-132)*(-76 + 0). Let y = i - -179. What is the remainder when 319 is divided by y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4292750 divided by -3850.\nAnswer: -1115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4480407+2\nAnswer: -4480405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-352)\/(-24)*150\/1100?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -14*t**3 + t**2 + 2*t + 3. Suppose -119*u - 142*u = -94 + 616. Give y(u).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3207859761?\nAnswer: 3, 17, 62899211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -138369\/32 - -4324. Find the common denominator of 59\/192 and b.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3*(1 + (-32)\/22) and (-2)\/11 + (-370)\/(-99)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/((-144)\/3))\/((-1)\/(-66)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*-1*(-10)\/(-20)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 1)*(8*f + 0*f - f)*(4*f**3 - 3*f**3 - 3*f**3 + (-3*f + 2*f + 2*f)*(-194 + 194 - 134*f**2)).\nAnswer: -3808*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960804.\nAnswer: 2, 3, 13, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -58\/19*x**2 + 8\/19*x**3 + 62\/19*x - 12\/19 = 0.\nAnswer: 1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**5\/120 + p**4\/4 + 5*p**3\/6 - 3*p**2. Let d(c) be the first derivative of o(c). Let a be d(0). Are 6 and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6 and -89\/744?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 185*a - 6317. Give o(34).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Suppose 3*j = 7*d - 3*d - 51, -i*d + 3*j + 33 = 0. Solve -4*p = -p - d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4315 = 4*f + 4271 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 26637 = -2*f + 390197, 5*z - 521050 = -5*f. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9454 + -1441. What are the prime factors of d?\nAnswer: 3, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -14\/11, -2172.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w**2. Let o(x) = 2028*x**2 - 2889. What is o(d(g))?\nAnswer: 73008*g**4 - 2889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 - 3*a**3 + a**3)*(-6 + 3 + 8) - 10 + 5*a**3 - 5*a**3 + a**3.\nAnswer: -4*a**3 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -469\/57 - -1426\/171. What is the closest to -2 in -0.4, -1\/5, 11, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1114 - 1624. Let y = -156 - h. List the prime factors of y.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**4\/12 + 7*q**3\/6 - 3*q**2 - 5*q - 5. Suppose -3*d + 5*v = -81 + 112, 0 = -4*d + 5*v - 38. Calculate u(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5 + 2*r**4 + 514*r**3 + 3086*r**2 + 3088*r - 6688 = 0. Calculate r.\nAnswer: -11, -4, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2795378*f**3*k**3 + 106*f**2*k**3 + 3*f**2 + 843*k wrt f?\nAnswer: -16772268*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 178 and 18?\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2141, -62, 2, 219 in descending order.\nAnswer: 219, 2, -62, -2141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(3*sqrt(192) + sqrt(192) + sqrt(192))*-5 - (sqrt(34) + -6*-1*sqrt(34))\/((sqrt(24)*1)\/sqrt(12)).\nAnswer: -57*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28527?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 24 = 2*r. Suppose -18*n = -23*n + 30. Calculate the greatest common divisor of n and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/108 - 5\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (8 - (4 + -3)) - 1. Let w(n) = n**3 + 4*n**2 - 8*n - 5. Let s be w(-5). Suppose -5*m + a = -120, 3*m - 2*m - 3*a = s. Solve -2*z - m = i*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z**2 + 45 - 747 + 20*z**2.\nAnswer: -z**2 - 702","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8869, -8868, -8867, -8866, -8865, -8864?\n\"Answer: l - 8870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 215314 != 215313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 28*u - 8 = -25*u, -26 = 4*v + u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-42)\/(-12))\/((-2)\/4). Let w be p\/(-6) + 6\/(-9). Which is the third smallest value? (a) 0.1 (b) w (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d**2 + 3*d**2 + d**2 + (567 + 68 + 134)*(4 - 2 - 4)*(-d + d + d)*(d + 2*d - d).\nAnswer: -3078*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18435475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 6, -2*t = s - 2 + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 15*k - 3*k)*(k**4 + 2*k**4 - k**4 + (-6*k**2 + 2*k**2 + 3*k**2)*(-3*k**2 - k**2 + 3*k**2) - 12*k**4 - 30*k**4 - 18*k**4).\nAnswer: -741*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*v = -748 + 4415 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 5:15 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 6:48 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + 44. Let l = y + -45. Let t = 27 - -1. Calculate the greatest common factor of l and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17763.165 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**2 - 33037*u - 33023*u + 132123*u - 33036*u - 33027*u.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85975 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -14*h**5\/5 - 8*h**4 - 22*h**3\/3 - 2*h**2 - 13. Let q(c) = 0. Calculate c.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 875, 835, 771, 677, 547?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4))\/(6\/8). Let j be 0 + 0 + (1 - c). Let s(g) = -4*g + 1. Give s(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from {h: 1, a: 1, f: 1, x: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1082*g - 616. Does 71 divide a(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 + -0.05. Let o = -0.4 + -1.6. Which is the nearest to o? (a) -1\/5 (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*m + 5, -2*n + 3*m + 3 = 7. Suppose -19 = -6*y - n. Suppose 0*z = -y*z + 99. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -55, 2\/9, -0.02, -10, 94, 0.08?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7027 - (2\/(-4) - 15\/(-30)). Suppose -z + 2437 = -17*u. Let t(w) = -8*w + 3. Let f be t(-3). Calculate the greatest common divisor of u and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-5))\/(3\/(-30)). List the prime factors of 6\/z + (-15)\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5461 (base 10) to base 8.\nAnswer: 12525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 + 7)\/(2\/2). Suppose x = -4*b - 11, 2*x = a*b - b + 5. Sort 0, -2\/5, x in increasing order.\nAnswer: -2\/5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-m - 6*m - 5*m)*(-3 + 0 + 1)*(2*m - 6*m - 5*m)*(2*m - m + m)*(3*m - 4*m + 3*m).\nAnswer: 1728*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 35 = 6*k. What are the prime factors of (-422)\/(-7) + (-10)\/k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2, -2\/5, 5, -0.040789 in ascending order.\nAnswer: -2\/5, -0.040789, 1\/2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 - 101. Put 6, 0, x in increasing order.\nAnswer: x, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 3:26 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -122*n**3 - 4*n**2 + n + 2. Let v(g) = -241*g**3 - 7*g**2 + 2*g + 4. What is -4*v(l) + 7*x(l)?\nAnswer: 110*l**3 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7140*s**3 + 2*s**2 + 8*s + 1698444.\nAnswer: 21420*s**2 + 4*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z = -2*o + 6, -4*z = 3*o - 20. Suppose i = -4*x + 6, 6*i - 2*x - 6 = z*i. Let g(k) = k + 1. Let b be g(-6). Sort i, 5, b in ascending order.\nAnswer: b, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*w**4 - 260*w**2 + 7*w + 20.\nAnswer: -48*w**2 - 520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {g: 1, r: 1, u: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (0 - (-2 - -1)) + (2 - -4)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26181*a**5 + 58*a + 198 wrt a.\nAnswer: -523620*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.7 and 6.954516?\nAnswer: 7.654516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 28734*w + 2787166. Determine s(-97).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -13. Suppose z*w - 118 = 62. Suppose -y + 2*j = -4*y + 170, 3*j = -y + w. What is the greatest common divisor of y and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 41*t + 2257. Let c be i(-54). Solve -c*a = 34*a - 616 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1208 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in -0.4, -1\/28, 24\/91?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 120.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuwuwuuuuuuuuuuu. What is prob of picking 4 u?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -37 + (-4 - (0 + -3)). Let w = -27 - s. Let d = w + -11. Solve -b + d = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -456*r**4 + 10*r**3 + 7698?\nAnswer: -1824*r**3 + 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 27 + 16*c**2 + 53 - 5*c**2 + 17 to b*c + g*c**2 + p and give p.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*d**2 - 24*d**2 + 75*d**2 - 15*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -182*a**2 + 2*a. Let m(t) = t. Give m(y(v)).\nAnswer: -182*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*j = 21, 5*j = -i - 0*j - 9. Calculate the greatest common factor of 22 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35344, -70689, -106034, -141379?\nAnswer: -176724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 318, -781, -2638, -5247, -8602, -12697?\n\"Answer: s**3 - 385*s**2 + 49*s + 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 2*p**2 - 2*p**2)*(6*p + p - 9*p)*(7*p - 7*p + 16*p + 3).\nAnswer: 160*p**4 + 30*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53 + 211*x**2 + 1313*x - 93 - 1313*x wrt x?\nAnswer: 422*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 14. Let o = y + 3.99. Which is the third smallest value? (a) o (b) -3\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 20*l**2 + 2*l + 5. Suppose 0*u - u - 8 = -5*a, -7 = 2*u - a. Is j(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95 and 50.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdt when three letters picked without replacement from wrttttdssttst?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 0*t - 2*t + 109693 - 6*t**2.\nAnswer: -6*t**2 + 109693","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*y - 68279 = -12124. What is y rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + -1331?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 3:48 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -3*f - 136. Suppose -10*v + f*v = 168. Suppose 5*b - 41 = -3*q, b - 2*q - v = -3*b. Solve 2*d = b*d + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 43*p**2 + 37*p + 316. Calculate n(44).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 230*c**2*k**3 + c**2 - 55*c*k - k**3 wrt k.\nAnswer: 1380*c**2*k - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -3*z - 69. Let r be (-42)\/z*7\/(-1). Let t be r\/10 + (-52)\/(-20). Put -8, t, -1 in increasing order.\nAnswer: -8, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6515757370 + 28881.\nAnswer: -6515728489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*i - 131*i - 8. Is 4913\/17 + 2\/(i\/6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589026708 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1551 divided by -7.\nAnswer: -1551\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -1. Solve v + j - 9 = 0, -g*j + 7 = -13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 79, -0.2, -37, 8\/5, -1\/3 in decreasing order.\nAnswer: 79, 8\/5, -0.2, -1\/3, -25, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + 39 + -107 + 18.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000145687 rounded to 7 decimal places?\nAnswer: -0.0000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 702935818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/215 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000409 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 2*h + 20. Let p = h - 167\/4. Factor p*u**2 + 1\/4*u + 0.\nAnswer: u*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3231405 millilitres to litres.\nAnswer: 0.0003231405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -2*a + 12, 34462*p - 34460*p - 106*a - 12 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 311*c*x**2 - 3*c*x + 5118*c + 3240*x**2 - 3*x + 3092 wrt x?\nAnswer: 622*c*x - 3*c + 6480*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h**2 + h - 1. Let i be l(1). Let u be (i\/1)\/((25\/(-5570))\/5). Let t = 20140 + u. Round t to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251897657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1123*o + 235 = 1128*o for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0)\/(i**(-8)\/i*i))\/(i**1\/i**(-3\/7))*(i**(-5)*i*i*i**(-3\/5))\/(i**(-1\/3))**(4\/31) assuming i is positive.\nAnswer: i**(13067\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.8? (a) -3\/32 (b) -1\/6 (c) -5\/29 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/4*(-1 - -3). Let k = -9 + a. What is the common denominator of 19\/24 and (0 - 1)\/(k\/(-19))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y**3 + y**3 - y**3)*(-4 - 1 + 2 + 3 - 8 + 2 + (-1 - 1 + 1)*(3 + 1 - 2) - 3 + 1 + 0) to the form v*y**2 + g*y**3 + s + z*y and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1860990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143466 divided by 1778.\nAnswer: 71733\/889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 39*k**2 + 80*k + 93. Let m be f(41). Let t(h) = -h**3 + 12*h**2 - 6*h - 26. What is the remainder when 54 is divided by t(m)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 10. Let i(k) = k + 5. Let d(b) = -3*a(b) - 7*i(b). Let g be d(-8). Let u be 4 + 2\/(-3)*g. Solve z = 2*z + 4*o + 10, -4*z - u*o = 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 77256\/(-319) - 4\/(-22). Which is greater: -1\/4 or c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.05896582 plus 4.38?\nAnswer: 33.43896582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 538 - 442. What is the greatest common divisor of d and 6144?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (767 - -4) + -4. Suppose -5*i - u = 2*m, -i + 5*m = -0*i + 132. Let b = 289 + i. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 22. Suppose 5*s = y - 19, -s = -5*y + 137 - 18. What is the remainder when y is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**3 + 19*d**2 - 10*d - 11. Let y be c(-6). Solve -y*a = -50 - 545 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2 - b**2 + 2. Let k(x) = -10544*x + 32*x**2 - 10543*x + 21087*x. What is k(m(w))?\nAnswer: 32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(1\/5)*k*k**(-2)\/k*k)\/(k\/k**0)**32)**(-44) assuming k is positive.\nAnswer: k**(6776\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04605174 - -78.\nAnswer: 77.95394826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(6*-2*sqrt(363)*2 + ((sqrt(363) - (sqrt(363) + 1)) + 0 + sqrt(363) - (0 + sqrt(363)*2))))**2.\nAnswer: 2200*sqrt(3) + 907504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/27))**(-1\/37)\/(k*k\/((k\/(k**19\/k))\/k)*k**8*k*k) assuming k is positive.\nAnswer: k**(-29999\/999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - -7) + -31)*2\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**4 + 2*s**3 - 8*s**2 - 8*s = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64*o - 3*o**3 - 66*o + 5*o**3 wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-0.1794171\nAnswer: -0.1794171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 14809.\nAnswer: -4442.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6643 and 70?\nAnswer: 66430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**3*i**4 - 39*g**3*i**3 + 628*g**3 with respect to i.\nAnswer: -16*g**3*i**3 - 117*g**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 19*s + 17 to the form m*s + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -15. Let y be (-129)\/z*46\/(-69). Is y less than -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/78*3*1. Let f = -1929694\/212835 + -2\/42567. Let m = f - -42\/5. What is the biggest value in i, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1519*h - 313789 - 126443 = 3785*h for h.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 5934560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -58*p + 4. Let j be q(1). Let z = j - -59. Suppose -4*a = -v + 3006 - 267, 0 = 5*a - z. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and -13.86?\nAnswer: 1.1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 104*n**3 + 560*n**2 - 1568*n.\nAnswer: 4*n*(n - 2)*(n + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, y: 2, h: 2}. What is prob of picking 1 m and 1 y?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-20))\/(1257\/12570).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - -6*-2*sqrt(72)) + sqrt(72) - 2*sqrt(72)*-2)\/(1*-2*sqrt(225) + -3*sqrt(225)*2).\nAnswer: 3*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 + 82.2. Let h = -0.3 - 0.1. What is the nearest to b in 0.5, -1, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/5 and -68\/65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(27) + 0 + sqrt(108)\/sqrt(4) + sqrt(27)).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 100101111101 (base 2) to base 9\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -79c290 + -2?\nAnswer: -79c292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*l - 10*l - 184261. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40 and 3182779.\nAnswer: 127311160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4)*1 + 17\/4. Let b(j) = -13*j + 25. Let v(y) = 3*y - 6. Let q(a) = w*b(a) + 18*v(a). Is 4 a factor of q(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108447, -867818, -2928983, -6942840, -13560287?\nAnswer: -23432222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 754.2675kg in tonnes?\nAnswer: 0.7542675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 9*l. Let o(z) be the second derivative of z**3\/6 + 127*z. Determine o(r(n)).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, 4, 13, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h - 10. Let g be o(-4). Let k = 6 + -4. Suppose 2*x + k*x - 8 = 0. Solve -4*l - 2*q = x, -3*l + g*q = 3*q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) 2\/73 (c) 1\/6 (d) 2\/3 (e) 0.505\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1988895*f - 55. Let r be u(9). Round r to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 3\/5, 3029.2, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/25173 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**2 + 87 - 12*n**2 + 9 in the form z + h*n**2 + x*n and give z.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 20*m**2 + m - 7. Let s = -225 - -245. Is 4 a factor of a(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.213 - -0.087. What is the closest to 1 in l, -2, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8a (base 12) to base 14\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 9056572070 and -34.\nAnswer: 9056572036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -584 - -2921\/5. Factor 0*k**4 + 0 + 0*k + 1\/5*k**5 - c*k**3 + 0*k**2.\nAnswer: k**3*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - l + 2*l**2 + 32*l**3 - 42*l**3 + 163*l**3 in the form y + r*l**2 + s*l**3 + t*l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 3*v + 3*o, -2*v = -0*v + 2*v - 14*o - 58 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7 - u**3 + u + 2 - u**2 + 8*u**2. Let n be p(7). Suppose 0 = 7*k - n*k - 1315. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3*u - 3*v - 7, -u - v = 0. Suppose -u = 2*o - 3*o + 4*r, 3*r = 12. What is the greatest common factor of o and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 318060 + -954178\/3. Let j*t**4 + 0 + 22\/3*t**2 + 8\/3*t + 13\/3*t**3 = 0. What is t?\nAnswer: -4, -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1758, 1765, 1772?\n\"Answer: 7*f + 1751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2200112 (base 3) to base 16.\nAnswer: -7a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -9*y. Let i(h) = 948950*h. Determine p(i(x)).\nAnswer: -8540550*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-75)*-3 + 333\/180. Factor b*l + 3\/4 + 3\/2*l**2.\nAnswer: 3*(l + 1)*(2*l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -367 at most -72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667722717.\nAnswer: 31, 53797507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**6\/120 - z**5\/60 + z**4\/24 + 4*z**3 - 5*z**2. Let m be w(0). Calculate the greatest common divisor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 368 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 6*u**2 + u - 5. Let w be m(-5). Suppose w*v - 3 = 14*v. List the prime factors of (8\/12)\/(v + (-1024)\/342).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-2)*6\/9. Let b be -54*(-2 - h\/2). Suppose 3*d + 195 = 5*s - 2*d, 4*d = s - b. Is s a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.44\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.228 (b) -0.1 (c) -0.2 (d) 6 (e) -2\/7 (f) 130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644255 plus -1640?\nAnswer: 1642615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)\/(d**6\/d))\/(d**(1\/2))**23 assuming d is positive.\nAnswer: d**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5663979 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 949497456 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x - 20. Let y be c(12). Let t(r) = r**2 - 12*r - 6. Let a be t(8). Let f = a + 54. Calculate the highest common factor of y and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1126*t - 35660 + 6582 = 74*t + 18262 for t.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5 - 10*l - 7 - l**2 - 13. Let h = 856115 + -856121. Determine n(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -7659?\nAnswer: -7658.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 440377912 and 345.863.\nAnswer: 440378257.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) + 1*(1*sqrt(24) + sqrt(24)))\/(sqrt(60)\/sqrt(5)*1))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2 + 5*i - 5. Let d = -2 - -1. Let t(a) = a**2 + a - 1. Let b(s) = d*w(s) + 5*t(s). Let u(l) = 135030*l - 270075*l + 135041*l. Determine b(u(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 144 (c) -9.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**3\/2 - 96*a. Suppose 3*v = -0*v. Let z(p) = 6*p + v*p - p. What is r(z(m))?\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1097.5 + -845. Let b = j - 251.489. What is b rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, k: 4, p: 1}. What is prob of picking 1 w and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, e: 1, t: 1, n: 2, v: 1, g: 1}. What is prob of picking 1 g, 1 j, and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**3 - 2*h**2 + 2. Let l(n) = -3*n**3 + n**3 + 4*n**3 - 4*n**2 + 3 + 2*n**2 + 2*n**3. Give -4*l(o) + 6*t(o).\nAnswer: 2*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -200 - -204. Suppose -48 + 16 = -j*a. Let s(i) = i**2 - 2*i - 3. What is the remainder when s(6) is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1740293.1 milliseconds to weeks.\nAnswer: 0.00287746875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 22*o - 4. Let t(k) = -1. Let l(v) = 3*t(v) - w(v). Calculate l(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1234999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 0.3 (b) -107 (c) 12 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -173399, -346798, -520197, -693596, -866995, -1040394?\n\"Answer: -173399*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -65823, -131643, -197463, -263283, -329103?\n\"Answer: -65820*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21589, -21707, -21861, -22069, -22349, -22719, -23197, -23801?\n\"Answer: -3*i**3 - 97*i - 21489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.465 - 2?\nAnswer: -5.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**5\/60 + f**4 - 16*f**3\/3 + 8*f**2 + 2. Find the first derivative of o(z) wrt z.\nAnswer: -2*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5*r + 19 = 0, -15*i + 31*r = 34*r - 60 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 + 81. Let y be 4 - (-1)\/(-2 + 1). Suppose 0 = 4*q + l - y. Sort -4, -1, q in ascending order.\nAnswer: q, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*10\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 642*w*y**2 + 2*w*y - w - 2*y**3 - 3*y**2 + y + 52156 wrt y.\nAnswer: 1284*w - 12*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*q**3 + 313*q**3 - 987*q**3 + 355*q**3.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1530, 1534, 1540, 1548, 1558, 1570?\n\"Answer: v**2 + v + 1528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-973*y - 679*y + 453*y - 785*y)*(-18 - 33 - 12) to i + k*y and give k.\nAnswer: 124992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18432 is divided by 5719.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/1620 and -119\/22560.\nAnswer: 609120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**3*l**2 - 22*j**3*l - 10013*j**3 + 16*j**2*l - 18457*j**2 - 6*j*l**2 wrt j.\nAnswer: -12*l**2 - 132*l - 60078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 5 + (-5 + 3 - 4)*(2 - 2 - 3) - 3 - 4 + 4)*(4*r - r - 4*r)*(5*r - 2*r - 2*r) in the form s + f*r**2 + o*r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11 + (46800\/(-423))\/(-10). Which is the closest to 0? (a) u (b) 0.04 (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 8 + 8)*(25 - 2 + 55) in the form w*n + j and give w.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*k + 13, -5*k + 4*l + 5 = -3. What is the second biggest value in 0, 1, -3\/7, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 81\/6*(-40)\/(-180). Let j(b) be the first derivative of b**4\/4 - 4*b**3\/3 + 2*b**2 - 13. Determine j(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(114) - (-3*sqrt(114) + sqrt(114) - sqrt(114)))*-3*-6)\/(1*sqrt(192)\/sqrt(8)*-5).\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-353004)\/10 - (0 - 2\/5). Round l to the nearest 1000.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.005 + 0.46. Let y = -0.545 - k. Sort y, 2\/7, -3 in decreasing order.\nAnswer: 2\/7, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*m + w, -m = 4*m - 3*w + 76. Let i be (m\/3)\/(4\/(-126)). Suppose 3*j + i = 390. What is the highest common divisor of 27 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1639 - 1616. Calculate the remainder when a is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 4. Let l be h(7). Suppose 45 = l*s - 0*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13972949?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(7)*-2)*-5 + 3 + (sqrt(539) + 1)*-4 + 4 + 5)**2.\nAnswer: -408*sqrt(11) + 28867\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 78 = 2. Suppose 2*q - 894 = 4*v, 0 = 4*v + v - n. List the prime factors of q.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**4 - 156*g**3 - 288*g**2 + 624*g + 1200 = 0.\nAnswer: -50, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 = 11*s + 57*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d = 5*d + 26 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399398 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321441 is divided by 9183.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -519, -3, -380.\nAnswer: -519, -380, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 17*a**2 - 1. Let s be r(1). Suppose -7*m - 514 - 1054 = 0. Let n = 226 + m. What is the highest common divisor of s and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -2. Suppose -3*s + 6 = 5*t - 0*s, 5*s + 3 = -4*t. Let d = m + t. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3\/11 - 40*f**2\/11 - 184*f\/11 - 192\/11 = 0.\nAnswer: -2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -0.5 (c) -15 (d) -5.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -121*i + 107*i. Let x(w) be the third derivative of 0*w + 0 - 1\/24*w**4 + 4*w**2 + i*w**3. Let y(r) = -21*r**2. Calculate y(x(t)).\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k**7*((k**(1\/3)*k)\/k)**(-41))**(-16\/9) assuming k is positive.\nAnswer: k**(368\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 9*a**3 + 2*a**2 + 2*a - 4. What is the remainder when 383 is divided by t(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*z + 691 = 12*z + 241 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 51*p + 19 - 33. Let u(f) = -f**2 + 1. Let m(l) = -l**2 - 2*l + 7. Calculate p*m(w) - 6*u(w).\nAnswer: 5*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t. Let j(r) = -2*r. Let z(v) = 4*i(v) - 5*j(v). Let c(s) be the third derivative of -1\/30*s**5 + 5*s**2 + 0*s**4 + 0*s + 0 + 0*s**3. Give c(z(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9253445837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3*b + 72, 4*b + 5*y - 45 = 60. Suppose 7*v + 4 = b. What is o in 0 + 2\/3*o**2 + 4\/3*o**v - 2\/3*o**4 - 4\/3*o = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8411.247g?\nAnswer: 0.008411247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 101, 324, 487, 596, 657, 676, 659, 612?\n\"Answer: v**3 - 36*v**2 + 324*v - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -353036?\nAnswer: 353036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/287)\/((-15130)\/(-310165)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 282647, 565301, 847957, 1130615, 1413275, 1695937?\nAnswer: 1978601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t + 4. Let a be c(-5). Let y(z) = 3 + 1 + 2*z**2 - 3 + 9*z. Is y(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407 = -6*i - 389. Suppose 0 + 3\/5*t**2 + 2\/5*t - 2\/5*t**i - 3\/5*t**4 = 0. What is t?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awa when three letters picked without replacement from {v: 1, a: 3, w: 1, y: 3, h: 11}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)*m*m**(-4\/5)*m*m**9\/m**(-5\/4) assuming m is positive.\nAnswer: m**(189\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + n - 2*n)*(-74 + 285*n**2 - 284*n**2 - 283) in the form v*n**3 + s + i*n + k*n**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00825279 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - 2*q**2 + 5*q**2)*(-q - q + 0*q) + (q - q + q)*(0 + 2*q**2 - 4 + 5).\nAnswer: -2*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2 + 52*f - 6. Let v be s(8). Calculate the highest common divisor of 143 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1462596516 to 5 dps.\nAnswer: 0.14626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 102110220100 (base 3) to base 9\nAnswer: 373810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 8*k - 6. Let h be z(6). Suppose -3 = c - 6. Suppose 3*d + 23 - 5 = c*p, -3*d - 4 = -p. Solve 4*v = -5*b - 1 + p, v = b + h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x - 21288. Let i(b) = -b. Calculate v(i(l)).\nAnswer: 3*l - 21288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((s - 5*s + 2*s)*(-6 + 2 + 0) - 2*s - 2*s + s + (-s + 2*s + 0*s)*(-1 + 1 - 2) + 4*s + 0*s - 5*s)*(944 - 463 - 740).\nAnswer: -518*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2, l + 5*t = 2*t + 8. Let a(r) be the second derivative of -1\/42*r**4 + 2*r + 1\/7*r**l + 0 + 0*r**3. Find b such that a(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -837934 to the nearest 10000.\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 850 by 85.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(-3)*(-531)\/367570 and 75\/56?\nAnswer: 24920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -251625, -504283, -756941, -1009599, -1262257, -1514915?\nAnswer: -1767573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2745 divided by 3.\nAnswer: -915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v = -h + 46, -62 = -v - 5*h. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2340)\/120)\/(28\/(-3360)*-36).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/18)\/((-40)\/(-48)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 9342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87*b**4 - 1137*b**2 + 6*b**3 + 83*b**4 - 33*b**3 + 88*b**4 - 254*b**4 wrt b.\nAnswer: 96*b - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 934 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*t = -1528 + 1545, -220*l + 5*t + 1038 = 328 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000149 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**4 + 2*z**3 + z**2 + z. Let y(m) = 729*m**4 - 8*m**3 - 4*m**2 - 4*m + 108. Let f(s) = -4*l(s) - y(s). Differentiate f(q) wrt q.\nAnswer: -2900*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25224 is divided by 1002.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54641 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v - 6*v - 2*v - 1 - v**2. Let q be x(3). Let i(u) = -u**3 - 13*u**2 - 3*u. List the prime factors of i(q).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwpywryrryywjyyrypy. Give prob of picking 1 p and 2 w.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 2*s - 20. Suppose 5 - 19 = -2*z. Let i = s + z. Solve 0*o + i*o - 6 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25332 is divided by 329.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 60. Is w less than -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - 10779 - 9*v**2 - 9198 + 2*v**2 + 3*v**2.\nAnswer: -2*v**2 - 19977","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 9*m = 0. Let z(j) be the first derivative of 4 + 0*j**2 - 1\/2*j**4 - 3*j + m*j**3. What is the first derivative of z(n) wrt n?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -149976724\/19 equal to -7893511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 301*o**3 + o**2 + 21*o + 1227608?\nAnswer: 903*o**2 + 2*o + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3757 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 254775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyiigiujyiujyik. Give prob of sequence jyj.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 58367767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83970215\/22 + 3817499. Let p = m - 669. Find the common denominator of -55\/14 and p.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3853 + 3851 + -2 + 22 + -2 + 2\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 + 41472?\nAnswer: 41495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*t**3 - 24*g*t**2 + 2*g - 43*t**3 - 7364 with respect to t.\nAnswer: 3*g*t**2 - 48*g*t - 129*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 1\/3*m**3 + 0*m + 0*m**2 + 1. Determine z(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 11492?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3916*b**3*u**2*v - b**3*u**2 - 2*b**3 - 103*u*v - 36*v wrt u?\nAnswer: -7832*b**3*v - 2*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3526320 and 1740?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - 3. Suppose 50 = 2*q + 14*x - 11*x, -12 = -3*x. Let m = q + f. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7369520 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -39. Let y = 135 + -121. What is the remainder when 61 is divided by 4\/s + 298\/y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y + 1. Let m be a(5). What is the common denominator of 1\/2*74\/m and 83\/21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a + 3*z = 22*a + 18, 0 = 4*a + 2*z + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1451.9 times -327\nAnswer: -474771.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2415, -3, -1, 3 in descending order.\nAnswer: 2415, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/1073820 and -41\/36?\nAnswer: 3221460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**6\/195 + 2*s**5\/65 - 2*s**4\/39 + 2*s. Factor a(c).\nAnswer: -2*c**2*(c - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -15*m**2 + 6*m + 45. Let r(q) = -10*q**2 + 4*q + 29. Calculate 5*b(n) - 7*r(n).\nAnswer: -5*n**2 + 2*n + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62643 and 13628699.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 10:29 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2253*r - 385*r + 5282 + 13398 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/(-14))\/((-3)\/276). Let j = t - -42. Put j, -3, 4, 2 in decreasing order.\nAnswer: 4, 2, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-289)\/4*23310\/66045.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + r + 1. Let w(y) = -22*y**3 + 4*y**2 - 5*y - 14. Let m(b) = -29*b**3 + 4*b**2 - 4*b - 16. Let k(j) = 3*m(j) - 4*w(j). Give -k(x) + 4*q(x).\nAnswer: -x**3 - 4*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(304) + 1) - (-5 + sqrt(304))*3.\nAnswer: 20 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(12\/5)*(d*d**(1\/3))\/d)\/(d\/(d*d**(-5)*d)*d)**(18\/5) assuming d is positive.\nAnswer: d**(-229\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12 (b) 33456 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437475*w**2 + 437711*w**2 - 875186*w**2 - 83*w**3 + 86*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97 + -93. Suppose 3*q - y*q + 89 = 0. Let w = 93 - q. Solve 0 = 2*x + 5*k - 31, -2*k - 4 = 2*x - w*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k\/k**(-2\/9)))\/k)**44*k**(-2\/33)*(k\/(k**10*k)*k)\/k)**(-35))**(-36) assuming k is positive.\nAnswer: k**(-884800\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*(-2*sqrt(612)*-4 + sqrt(612)).\nAnswer: 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(1 - (1 - -1)). Suppose -16*y + 13*y + 12 = h. Suppose 0 = b + 4*b, -5*b - 1676 = -y*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.62533 millennia in centuries?\nAnswer: 916.2533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) 1 (c) 17 (d) 6\/11 (e) 1\/6 (f) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61354 greater than 61353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6838 + -167?\nAnswer: 6671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*b + 83*b = -21 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1078 - -699. Let d = -403 - i. Is d > -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2300*h - 641702. Calculate w(-279).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*o**4 + 366*o + 46620 with respect to o.\nAnswer: 72*o**3 + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 13\/12*z**2 + 75 - 5\/2*z - 1\/9*z**3. Factor r(l).\nAnswer: -(l - 5)*(2*l - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 2*m - 364. Determine l(-16).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 4995\/191 and 26 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -1408*o + 1411*o - 11*h, -2*h = -36*o - 908 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96 + -72. What is the greatest common divisor of x and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001355129226 to seven decimal places.\nAnswer: 0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 405654607*i**3 - 1696968*i**2 - 90*i - 1 wrt i?\nAnswer: 2433927642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -694 - -693. Sort z, -5, 10.\nAnswer: -5, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 264731.\nAnswer: 12\/264731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 4)*(2 - 6 + 2) + 1 + 2 - 1 + (2 + 2 - 5)*(1 - 5 + 2) + 1 - 3 + 3)*(-1 - 1 + 13)*(2*l + 3*l - 3*l).\nAnswer: 66*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002355404477 to five decimal places.\nAnswer: 0.00236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from {i: 4, t: 2, b: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 31*d**5\/60 - 48*d**2. Let r(t) = -4*t**2. What is v(r(y))?\nAnswer: 496*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 2*v + 5*v. What is the greatest common divisor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 55 = -70 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - sqrt(700)*3) + 5.\nAnswer: -20*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(27)\/(sqrt(45)\/sqrt(5))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10952 - -10952.10769. What is g rounded to 3 decimal places?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 4)\/(-1) + -3 + (40 + 7 - 98)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 374967 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1765236427?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61705*o - 181026 = 59671*o for o.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - -2)\/(26\/65). Solve -2*g + c = 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 68*r**2 + 4*r + 15. Let h be z(-2). Let v = h + -80. What are the prime factors of v?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -2*s + 416. Let v = 54 - s. Solve -8 = 4*t - 4*h, v*t + 7 = -3*h + 2*h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 0. What is the second derivative of 3*i - 3*i**5 + 3*i**h + i - 2*i**5 wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*x + 25*x + 2 - 20*x - 11*x to s + d*x and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 4*z**2 + 2*z + 7. Let p be t(5). Which is smaller: p or -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2106\/17 + 124. Let a(p) = p**3 - 6*p**2 + p - 6. Let k be a(6). Which is greater: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from uebb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 213 - 24. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1355400 + -1?\nAnswer: -1355401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1742*x - 352433. Calculate j(202).\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7623 and 193721?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 57 - 17 - 24 - 16.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/11 - 16*a**3\/11 + 34*a**2\/11 - 20*a\/11 = 0.\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o**2. Let y(a) = 13*a - 5 - 45*a + 5. What is y(j(n))?\nAnswer: 160*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -0.3 (c) 33969 (d) -2\/5 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a - 25. Let q be r(5). Suppose -q*t + 0*y - 336499980 = 4*y, 336499975 = -5*t - 5*y. What is t rounded to the nearest 1000000?\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from ijvivivjiiijibijvj.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52\/24 + (-2)\/12. Let q(f) be the second derivative of 0 + 0*f**4 - 2*f + 0*f**3 + 0*f**5 - f**g - 7\/30*f**6. Differentiate q(i) wrt i.\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {a: 2, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 6.49736.\nAnswer: 25.98944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24351484?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35300*w**3 - 1636*w**2 + 810*w**2 + 826*w**2.\nAnswer: 35300*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 56 = -3*z. Let d = 16 + -11. Let r = -29 - -34. Solve -r*v = -3*v + 4*g - z, -d*v - g = -17 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 2. Let h(x) = x + 19. Give -6*a(g) - h(g).\nAnswer: -13*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c + 12 = 0. Let s(m) = m**2 + 7*m + 6. Let t(q) = q**2 - 3. Let z be t(0). Let o(a) = a**2 + 7*a + 5. Let h(r) = c*s(r) + z*o(r). What is h(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 8*s + 72 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {y: 4, i: 6, q: 5, h: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-42) - 1*(-672)\/63?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p + 4*p - 5*p)*(-24 - 2*p + 24)*(-1 + 1 + 2 - 7 + 4 + 2 + (1 + 0 + 0)*(1 + 0 + 0) + 0 + 3 - 4 + 0 - 5 + 3 - 3 + 4 + 2).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 0)*(4 + -3). Let m(b) = -2*b + 4. Let s be m(6). Let d = 8 + s. Solve 5*g - x = -2*x + 18, g + w*x = d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 - 63. Differentiate -48 - 7*h**f - 2334*h + 2334*h wrt h.\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 144? (a) -0.7 (b) 1 (c) -11 (d) -3\/5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**5*b*b)\/b*b**8)\/(b\/(b**(-3\/5)\/b)*b*b**(-4\/5)*b*b*b) assuming b is positive.\nAnswer: b**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 443*4\nAnswer: 1772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -b2?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -215380 to the nearest 1000.\nAnswer: -215000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*o + 14740, -9*o = -6*o + 2*r - 8837. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(216))*-3)\/(sqrt(88)\/(sqrt(11)*-1)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6\/43 + -105\/172. Let w = 0.53 - 0.63. What is the smallest value in m, w, 2\/17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.028 in -5\/4, -0.85, -8315?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7266525 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*r, 2*j - 16 = -5*r + 13. Let m = r - 9. Let w(f) = 4*f + 5. Suppose 68 = 14*n - 184. Let i(b) = b + 1. Determine m*w(s) + n*i(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -1, -3, -9443, -6 in increasing order.\nAnswer: -9443, -6, -5, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25998169222\/1081 + 24050112. Let x = a - 2091713\/1176128. What is the common denominator of x and -101\/16?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*n + 7. Let w = n + -6. Do w and -5 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 108511, 435601, 980749, 1743955, 2725219, 3924541?\n\"Answer: 109029*o**2 + 3*o - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20574294 divided by -263773.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 10:01 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16130118, -16130124, -16130136, -16130154, -16130178?\n\"Answer: -3*w**2 + 3*w - 16130118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 6) to base 16.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h = -5. Let m(v) be the second derivative of -3*v**3\/2 + v**2\/2 - 11*v. Determine m(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 44, 56, 76, 104?\n\"Answer: 4*o**2 + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 9:12 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 take away -0.34?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 14, e: 5}. What is prob of sequence eee?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 29.7. Let k = -1.91 + 0.91. Which is the third smallest value? (a) -4\/9 (b) k (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 20*h**2 - 194*h + 128. What is j(27)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 2\/134935?\nAnswer: 2\/134935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*b + 4*w + 1546, 3*w + 510 = -b. Let l be 362\/b + 2\/3. Let i = l + -157\/430. What is the nearest to i in 5, -1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeueeeuueeeeueeu. Give prob of sequence ue.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-8)*(-20)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*u = 2094, -u + 0*u = 3. Does 29 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*1 - 0\/(-9). Suppose -2*f = n*f - 24. Suppose -4*i + 32 = -0*i + 4*y, -4*i + 33 = 3*y. What is the lowest common multiple of i and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2613*i**5 + 55*i**3 - 2*i**2 - 5*i - 48486 wrt i.\nAnswer: 156780*i**2 + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**3 - 2*c**2 + c + 1. Let j(q) = -5*q**3 - q**2. Let b(h) = -5*j(h) + 6*l(h). Is b(6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(3*h**2 - 2*h**2 - 3*h**2) - 7*h**2 + h**2 - 3*h**2 + 2*h**2 - 4*h**2 + 0*h**2.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 116 = -19*b + 17*b, -268 = -4*b + s. What is the derivative of 121260*i + b*i**2 + 14 - 121260*i wrt i?\nAnswer: 136*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -820 - -1510. Calculate the highest common factor of 30 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/8 - 1035*b**2\/8 + 2937*b\/2.\nAnswer: -3*b*(b - 11)*(b + 356)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (sqrt(136) - (sqrt(136) + -1*sqrt(136))))*-1 - sqrt(136))\/(sqrt(2352)\/sqrt(6)).\nAnswer: -sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 1\/5*o**5 + 0 + 0*o**3 + 0*o**2 - 6*o + 2\/3*o**4. Find the third derivative of u(j) wrt j.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8938?\nAnswer: 2, 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z + 22. Let t be p(-9). Suppose 2*n + t*y = 5250, -2*y - 5245 = -2*n - y. Suppose -n - 5662 = -5*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, -330, -690, -1066, -1464, -1890, -2350?\nAnswer: -2850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -22*-8.6\nAnswer: 189.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 4730?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 1:05 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-258)\/(-36) - 7 - 14981\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 1. Let x(f) be the first derivative of -f**3\/3 - 4*f**2 + 13*f - 2. Let u be x(-9). Suppose 4 = 4*c, -5*v + 11 = -u*c - 0. What is z(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 846.29 + -850. Let m = -3.2 - r. What is m rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o - 80 = -23*o. Let a be (2 + o\/6)*-3. Suppose 0*b - 8 = -a*b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - 2*y + 2*y)*(-4*y + 0*y + 2*y) + 2*y**2 + 0 + 3 + 3 in the form c*y**2 + r*y + b and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -41. What is the lowest common multiple of 7 and (l - -3)*3 - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) 6.5 (c) 3 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028566525 to the power of 1\/2, to the nearest integer?\nAnswer: 32071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*w = 55, 0*w - 25 = -5*w. Calculate the smallest common multiple of t and 24 + 2 + -14 + (1 - -5 - -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, w: 2}. Give prob of sequence swss.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -13\/5, -2\/109 in descending order.\nAnswer: 5, 2, -2\/109, -13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*m - 8, -m + 6*m = -2*n - 4. Let j = n - -7. Suppose -5*k = -4*k + j*u - 106, -5*k = -2*u - 395. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -288 - 20289*d**2 + 20288*d**2 - 527 + 168*d = 0. What is d?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/(-8)*3\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2073)\/(-21) - 2\/(-7). Suppose -5*x = 6*m - 4*m + 93, -5*x - w = -4*m. Let u(y) = -2*y - 2. What is the tens digit of u(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 1097*h + 12 - 7 + 1 in the form c*h + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -413?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (3 + 4 + -6) - 18.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 2\/7*i**2 - 12 + 1\/7*i - 5\/21*i**3. Factor q(z).\nAnswer: -(z - 1)*(5*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5618*h**2\/7 - 4664*h\/7 + 968\/7 = 0. Calculate h.\nAnswer: 22\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*g + 4*h, -25*g = -22*g + 5*h - 48. Calculate the smallest common multiple of 35 and g.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -6 (b) 109 (c) 1\/5 (d) 18824\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 6*h**2 + h - 6. Suppose -2*b - 3*b + 11 = -3*n, n - 7 = -b. Suppose k - 7 = -v, 0 = n*v - k - 0*k - 17. What is c(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.52, 6, 7\/4742?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2445793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 69*f**4\/7 - 15390*f**3\/7 - 14925*f**2\/7 + 31590*f\/7 - 192 = 0. Calculate f.\nAnswer: -2, 1\/23, 1, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*m = 212*m - 98*m - 88 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-8))\/(2\/24). Let v(w) be the third derivative of -w**5\/60 + w**4\/6 - w**3\/6 + 2*w**2. What are the prime factors of v(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*2*(6*(1 + sqrt(300) - sqrt(300)) + -2 + sqrt(300)*-1 + sqrt(300) - (-2 + 4*1*sqrt(300))) + -1)**2.\nAnswer: -49600*sqrt(3) + 483844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -144\/97 - 4577\/1164. Calculate the common denominator of d and -46\/807.\nAnswer: 3228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -62 in 2, -4, -2, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(2\/4))\/(-1). Let o be g\/7 + (-16)\/7. Is o not equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 12*y**3 + 34*y**2 + 32*y + 288. Factor m(t).\nAnswer: 4*(t + 1)*(9*t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -5*m**2\/2 - 7*m + 1. What is the tens digit of q(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -405*b - 11. Let y(p) = -135*p - 3. What is 2*d(c) - 7*y(c)?\nAnswer: 135*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405793*a - 103282*a + 95892*a - 127152*a + 548915*a.\nAnswer: 820166*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8433711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2163 and 43007650.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3199)\/(-462) - 7)\/(25 - (-2850)\/(-120))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - 3*g)*(-1 - 3 + 2) + 12 - 12 + 2*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 14*t**2 + t - 1. Let w be q(1). Suppose -5*m + 105 = -2*m. What is the highest common divisor of w and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**6)\/j)\/(j*j*j\/j**(-2)*j)*(j**(-2)\/j*j)\/(j*j**3*j) assuming j is positive.\nAnswer: j**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 m when three letters picked without replacement from {m: 5, u: 2, v: 8}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447074896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2 + 3 - 5 - 1 - 1 - 2 + 1 + (2 - 5 + 2)*(2 - 4 + 1))*(0*r**3 - r**3 + 0*r**3 - 2*r**2).\nAnswer: 2*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099338533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n. Let g(j) be the second derivative of j**3\/2 - j**2\/2 + 3*j - 2. Let q be ((-30)\/(-9) - 4)\/(2\/(-3)). Determine q*g(k) + 2*o(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.2 (c) -6 (d) 0 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82835598 to the nearest integer?\nAnswer: 9101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -0.055, 1\/4, -5 in ascending order.\nAnswer: -5, -3\/7, -0.055, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*z + 5 + 7*z - 6)*(-5 - 2 + 5) in the form q + j*z and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1171 + 1172 - 135*c**3 + 472*c - 2343 - 472*c.\nAnswer: -135*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, f: 3}. Give prob of picking 1 a and 1 f.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 31488871140+114\nAnswer: 31488871254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*s - 4, 5*n = 2*s + 18. Is n <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*d + 2 = 0, 33*d = 2*w + 34*d + 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 - (-10630)\/(-24). Let d(h) = 70*h + 67. Let o be d(-7). Let c = o - i. Calculate the common denominator of 13\/9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15887?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/54 + -17\/702. Let g = -3 + 8. Sort u, g, -3 in ascending order.\nAnswer: -3, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7040 divided by -5.\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -151*s + 158*s - 10906. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -1\/6*z**6 - 7\/2*z**2 + 7 + 0*z**5 + 0*z + 0*z**3 - 8*z**4. What is the second derivative of x(h) wrt h?\nAnswer: -20*h**3 - 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*4\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 737 and 67144?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 - (-13 + (-13 - (16 - 27)) - -34).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 5:07 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + sqrt(15)\/sqrt(3) + 0 + -4 + ((1*sqrt(55)*6)\/sqrt(11) + (sqrt(5) - sqrt(10)\/sqrt(2)*-3) + 3)**2.\nAnswer: 61*sqrt(5) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 16*w + 66. Let u be b(-4). Suppose 3*q + 2*q - 5*h = 0, 2*h + u = 4*q. Sort 5, q, -1, 4.\nAnswer: -1, q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 762 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 117.8 and -233353116.\nAnswer: -233352998.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -2*u - 5*d, 5*d = 0. Let k = 8.826 + -9.026. Let t = 0 - 3. Which is the nearest to 2? (a) t (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1425.7 to the nearest ten.\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(104)*1*2)\/(-2*(sqrt(8) - (sqrt(8) - (2*sqrt(392) + sqrt(8) + sqrt(8))))))**2.\nAnswer: 13\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -165 + -22?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1\/6 (c) 0.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 6*l + 0*l)*(-l - l + 5*l)*(-2 + 6*l**2 + 2) as a*l**2 + o*l + h + t*l**4 + s*l**3 and give t.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*sqrt(11))**2*5 + 4) + 3.\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.732822us in milliseconds?\nAnswer: 0.000732822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -937*t**3 - 3*t**2 - 569*t - 1 wrt t?\nAnswer: -5622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 87*v + 9. Let x be z(7). Suppose 2*m = 5*m - x. Suppose -4*y = -6*y + m. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 0*s - 1 + 1\/3*s**3 + 1\/4*s**2. Determine m so that j(m) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*t - l + 2, -15 = -t - 5*l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 4*t + 14. Let i be o(-2). Let u(q) = -8921*q - i*q**2 + 8921*q. Let a(h) be the first derivative of 9*h**2\/2 + 2. Calculate u(a(z)).\nAnswer: -162*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 103\/4 (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g - 24. Let i be t(-9). Solve -2*y + i = -5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - -2.5. Let l = 1 - 0.9. Which is the second biggest value? (a) m (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from tttzttztzzzt?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/12 and (98\/220)\/((-44)\/10 + 4)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 443 + 1713 = 0. List the prime factors of v.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 1:11 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -11*l**6\/15 + l**5\/10 - l**3\/6 - 3*l**2\/2 + 4*l + 1. What is the second derivative of k(g) wrt g?\nAnswer: -264*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684042.\nAnswer: 2, 3, 173, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2835)\/756*2\/6.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 307*b - 274*b = 32*b, -2*f - 105 = 7*b - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -15, 0 = y + 3*v - 28 + 37 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)*1)\/(sqrt(16)*2).\nAnswer: 9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*w**2 - 301 + 139*w**2 - 92 - 287*w**2 + 393.\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 6*l**2 - 9*l - 7. Let k be b(-4). Let f = 1 - 2. Let q = 1 + f. Which is smaller: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410113?\nAnswer: 11, 23, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**2 + 2*s**2 + 0*s**2)*(-5*s + 0*s**2 + 2*s**2 + 0*s) as z + i*s + y*s**3 + k*s**2 + q*s**4 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 165.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 - 2.\nAnswer: -2.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 a factor of 3805332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.28686ml to litres.\nAnswer: 0.02128686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 3*y**2 - y. Let w(q) = -q**2 + 7*q - 4. Let p be w(6). Suppose 2*d = m, 2 = p*m - 2*d - 0*d. Suppose -z + 5 = m. Calculate r(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -112 + 2102. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + g)*(-3 - 2 + 4)*(-g**3 - 3 + 3).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000552257 rounded to 7 decimal places?\nAnswer: -0.0000552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 8\/9*u**2 + 8\/3*u - 2*u**3 + 2\/9*u**5 + 0 + 0*u**4 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0385 - -0.1385. Which is the nearest to p? (a) 0.3 (b) -3 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -40*i - 40. Let u(w) = 13*w + 13. Let l(r) = -3*q(r) - 10*u(r). What is the units digit of l(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -385 in 1, -12, 42\/13?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82465296*c**2 - 82465296*c**2 - 5*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-6))\/(((-24)\/(-540))\/(1\/20))\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22057 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 + 4664*x\/9 + 4666\/9.\nAnswer: -2*(x - 2333)*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*(-204)\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/144199805 and -1\/314332.\nAnswer: 576799220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*r + 209 = 26*r + 41*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-68)*16\/20*(-3)\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 4. Let v be w(6). Is ((-1)\/v)\/(6\/13308) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 - 3*j**2 + 3*j - 2. Let l be a(-3). Let z = 21 + l. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6042 (base 8) in base 14?\nAnswer: 11bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 - 55. Suppose z*l = -4*f - 12, 14 = f - 3*l + 5. Let n be (f + 0)\/(-3 + 4). Solve n = -2*g + 6 - 16, -3*m - 4*g = 35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -3278.\nAnswer: -327.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873 bigger than 16870\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 0*q**3 - 2*q - 45 + 1\/10*q**6 + 0*q**5 - 2*q**4 + 24*q**2. Factor h(o).\nAnswer: 3*(o - 2)**2*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1951 - 1688. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 + 2*d. Let c(m) = -m**3 - 5*m**2 + 7*m + 4. Let q be c(-6). Calculate x(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 289?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-6\/5)*p\/p**(-2\/79))\/(p**(3\/11)*p**(-25)) assuming p is positive.\nAnswer: p**(121454\/4345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -629*t**5 - 164*t**5 - 504*t - 1132*t - 636*t wrt t?\nAnswer: -15860*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3968 is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -4\/3815, -0.5?\nAnswer: -4\/3815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 3, 274874*n = 3*d + 274875*n + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 304318401 to the power of 1\/2, to the nearest integer?\nAnswer: 17445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/(-2))\/(2 - (-45)\/(-18)). Let i(t) = 7*t + w*t - 20*t + 5*t. Let x(l) = -6*l**2 - l. Give i(x(v)).\nAnswer: 6*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = i - 8706 + 8643, 5*i + 53 = -3*g for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56*-0.052319.\nAnswer: 2.929864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + o**2. Let j(w) be the second derivative of -7*w**5\/20 - w**4\/2 + 10*w**3\/3 - 370*w. What is j(q) + 6*z(q)?\nAnswer: -q**3 + 20*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49937169 divided by -5.\nAnswer: -49937169\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 64*o**3 + 28*o**2 - 28*o. Let j(l) = 23*l + 87. Let t be j(-5). Let y(n) = 7*n**3 + 3*n**2 - 3*n. Calculate t*y(p) + 3*g(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64378?\nAnswer: 2, 32189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k*t**2 + 82059*k*t - 1003845*k with respect to t.\nAnswer: -2*k*t + 82059*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-67 - -37 - -30).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/535262 and -111\/319358.\nAnswer: 38003602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*j - 11. What is the third derivative of -5*n**2 - 4*n**5 + j*n**5 - n**2 wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -545*p - 1096. Let k be s(-2). Suppose -4*q = -5*q + 8. Let r = 4 - q. Is k smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1730*k + 299290 + 5\/2*k**2.\nAnswer: 5*(k + 346)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30258 + -30257.9981169. Round v to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 7. Let q = -705 - -693. Let d = q - -165. What is the highest common factor of d and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 2. Let g(h) = h. Let o(y) = 3*y + 1. Let r(z) = w*o(z) + 5*g(z). What is the units digit of r(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68669156*o**2*w**3 - 3116*o**2 + 2*o*w**3 + 6769*o*w wrt w?\nAnswer: -412014936*o**2*w + 12*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -951 and -54?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*c**3*h**3 - 6*c**3*h + c**2*h**3 wrt h.\nAnswer: -54*c**3*h + 6*c**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 = -u - 9*g, -5*u + 2*g + 46 + 7 - 3 = -13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*c + 1884 = 0, 0*d - 3*c + 2484 = 4*d. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + d - 10. Let j = d + 1. Let r(z) = z**3 - 5*z**2 - 5*z + 4. What is r(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-7))\/(t*t**(1\/6)*t))**(-27\/7)\/((((((t*(t\/(t**(4\/5)*t))\/t)\/t)\/t)\/t)\/t)\/(t*t\/((t\/t**(1\/5))\/t))*t**(2\/7)*t\/t**(-3)) assuming t is positive.\nAnswer: t**(-277\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14305\/112 + -856\/7. Suppose -2*q = 10, 2*m + 4*q + 70 = -106. Find the common denominator of r and 0 - m\/32 - 3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42365 (base 10) to base 9\nAnswer: 64102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + y + (3*y + y + y)*((0 - 1 + 0)*(-4 + 2 + 3) - 2 - 1 + 1).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 12640 and 1\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 108457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 58*h + 2941 = -1531. Let n(k) = -k**3 - k**2 + k + 1. Let v be n(-1). Suppose v = -3*b + 11 + 28. What is the greatest common divisor of b and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1967*j**4 - 2220 - 2200 + 537 wrt j.\nAnswer: -7868*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 206122, 412226, 618304, 824344, 1030334, 1236262?\n\"Answer: -2*l**3 - l**2 + 206121*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37 - -60cac9?\nAnswer: 60ca92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (505344\/(-1290240))\/((-3)\/360).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/5 - 49568*t**2 + 15369541012*t\/5 - 1657020883248\/5.\nAnswer: (t - 123866)**2*(t - 108)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 3*x + 19, 0 = -3*d + 15*x - 18*x - 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, x: 7}. Give prob of sequence xxt.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 244*o - 251*o - 42. Let p be o\/(-24) + (266\/24)\/(-7). Let l = -2 + 4. What is the nearest to l in p, -2, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - s + 1. Let j(r) = -9*r**2 + 3*r + 6. Let n(w) = -j(w) - 3*l(w). What is the derivative of n(x) wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 3*m = 75. Suppose -3*u + 0*u = 18. What are the prime factors of (-4)\/u + m\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, n: 2, k: 6}. Give prob of picking 1 c and 2 n.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/20)\/((y**(5\/7)\/y)\/y))\/(y\/y**(-12\/7)*y\/((y*y**(-1\/9)\/y*y)\/y)) assuming y is positive.\nAnswer: y**(-3137\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 70*x**2 + 218*x - 70. Calculate k(-73).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.6, 0.3627.\nAnswer: 0.3627, 0.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 522129 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 810, 0.4, -3, 4, -11, -2\/5, -4?\nAnswer: 810","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 5*d**3\/3 + 3*d**2\/2 + 3*d + 1. Suppose 729 = 467*g - 1263 + 124. Let i(m) = -6*m**2 - 3*m - 4. What is g*z(w) + 3*i(w)?\nAnswer: 2*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -237*w + 12. Let i be o(-24). Round i to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*p - 1069 = 2331 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 603332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -148240, -296455, -444636, -592777, -740872, -888915, -1036900?\n\"Answer: h**3 + 11*h**2 - 148255*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*k - x + 8, -14 = 2*k - 5*x. Suppose j - k*j = -88. Suppose -6*w = -2*w - 3*m - j, 3*m = w - 2. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2 = 2, -47*n - 47*n = -92*n + 3*i + 43 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 130*x + 113. Calculate y(69).\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 15 = -n - 2*n, -15 = 4*t - 3*n. Suppose -3*d = 4*c - c + 3, 1 = -c - 4*d. Put 1, t, c in descending order.\nAnswer: 1, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7326 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**2 + 9*s. Let m(b) = 4*b**2 - 8*b. Let n(r) = -2*h(r) - 3*m(r). Find the second derivative of n(i) wrt i.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 238 - 238.2. Suppose -40 = -5*f - 3*f. Which is the nearest to -0.1? (a) -19 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54929 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: Is 242\/(-968)*1*-182564 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6)*(-9)\/30*-5. Let d(q) = q**2 - 4*q - 3. Let i(g) = g**2 - g - 1. What is k*d(x) + 2*i(x)?\nAnswer: x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 505783, 2023112, 4551995, 8092432, 12644423, 18207968, 24783067?\nAnswer: 32369720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1761 - 1629. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 0.01 (b) 0.3 (c) -642\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 198*b**2 + 3*b - 13. Let r(j) = 297*j**2 + 5*j - 19. Let v(n) = 7*c(n) - 5*r(n). Let h be v(-8). Round h to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, s: 11}. What is prob of picking 3 s?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + s**2 - s**5 - 3*s**2 - s**5 + 3*s**5.\nAnswer: s**2*(s - 2)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 13*v - 3. Suppose -4*f + 8*f = 28. Let w be o(f). Suppose 4*d - w = -0*d. Calculate the lowest common multiple of d and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241870698 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: How many kilograms are there in 21\/4 of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20980511753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*4\/42)\/(84\/(-42))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 0*y**2 + 0*y + 10 + 0*y**3 + 1\/9*y**4 + 2\/9*y**5. Factor m(h).\nAnswer: 2*h**3*(5*h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 2. Let w = 8 - f. Solve -3*u - 5*n + 7 = 0, -3*u - 7 = -w*n + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11100207743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1391.00002607 + -1391. Round g to seven decimal places.\nAnswer: 0.0000261","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4037969 times -13?\nAnswer: -5.2493597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -4, 45 in descending order.\nAnswer: 45, 43, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 - (-404)\/(-10). Suppose -4*g + 0*g + 232 = 0. Let y = r + g. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 19 - 1 + 20.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 289 and 287 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14028507, -14028506, -14028505, -14028504, -14028503?\nAnswer: -14028502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-3 - (0 + -3)). Suppose g = 6*x - 2*x + 20. Put x, 4, 1 in ascending order.\nAnswer: x, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 8*c + 5. Let t be 20\/48 + (c - -1). Let h be (-18)\/(-12) - (-2)\/(6 + -10). Is h smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2022, 2012, 2000, 1986, 1970, 1952?\n\"Answer: -z**2 - 7*z + 2030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3081, 15\/7, 9, 2\/5 in ascending order.\nAnswer: 0.3081, 2\/5, 15\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 26993818?\nAnswer: 26993822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 6 = 2*o + 11, o - 197 = 37*h - 2*o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1 = -4*t - 3, -6 = 5*k + 2*t. Let z(d) = 3*d**2 - 4*d - 7. What is the least common multiple of z(k) and 5?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**5 - r**3 + 51*r**2 wrt r.\nAnswer: 60*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -5 (c) 3612 (d) -2\/3 (e) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3299*r**5 + r**2 - 269 wrt r?\nAnswer: 197940*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 10 + 10 - b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -640 (base 9) in base 7?\nAnswer: -1344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -1.1\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 89516 and 3542?\nAnswer: 984676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 16 - 74. Calculate the remainder when 212 is divided by (-2)\/(-6) + 5\/(j\/(-322)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (44160\/(-496))\/(-15) + -3*2. Which is the fourth smallest value? (a) -1\/7 (b) i (c) 4 (d) -13\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + k - 135. Is 3 a factor of (-85)\/(-2)*36\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8770.\nAnswer: 2, 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t + 508. Let x(h) = 6*h - 515. Calculate 5*x(p) + 6*y(p).\nAnswer: 12*p + 473","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4903, 9791, 14667, 19525, 24359?\n\"Answer: -g**3 + 4895*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oinnnllgon. Give prob of picking 1 g and 1 o.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 4:53 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 9*d**3 + 10*d**2 - 19*d + 4. Let l be y(2). Solve -59*g = -46*g - l for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a second in milliseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001110110 (base 2) in base 8?\nAnswer: 6166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 plus 1.80280432604?\nAnswer: 204.80280432604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -75*w - 21. Calculate a(-1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 0*k - 5*l = -8, -5*l = -5*k - 40 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 366 = -18. Let i be 46\/8 + 6*(-4)\/q. Suppose 0 = i*r - 17*r - 20400. Round r to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 924 + -2471. Does -1546 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143922 divided by 3\nAnswer: -47974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 12:05 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11136?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1523, -13, 77, 4 in decreasing order.\nAnswer: 77, 4, -13, -1523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 3*r = -1059 - 999 + 2018, r - 14 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -4. Suppose 2*z + i = 10, -i - p = -4*z + i. Let c be z\/9*-8 - -2. Is c not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -53, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 3*d + 14. Let m(h) = -7*h**3 + 3*h**2 - h - 2. Let z be m(2). Let g be z\/(-4)*1\/(-2). Let y be o(g). Put y, 1\/9, 3\/4 in increasing order.\nAnswer: y, 1\/9, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 + 0*n**3 + 2*n**3 + (-8*n**3 + 6*n**3 - 3*n**3)*(-2 + 1 - 1).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36345, 73103, 109861, 146619, 183377, 220135?\nAnswer: 256893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -564*a - 180140. Calculate i(-317).\nAnswer: -1352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3372, -6764, -10156?\n\"Answer: -3392*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110406050 by 2208121.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81.11303 + -0.2.\nAnswer: 80.91303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwqqq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (165\/22)\/(9940\/(-1136))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66045*m**3 + 7010*m**2 - 1.\nAnswer: -396270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c**3 + c**2 + 2. Suppose 53 = 90*z + 413. Let l(x) = -7*x**3 - x**2 - 2. Determine z*l(t) - 5*f(t).\nAnswer: -2*t**3 - t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 32. Suppose -m*p - 2*p + 8 = 0. Suppose 9*s - 3500000 = p*s. What is s rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*((-148)\/(-8) + -12). Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o. Let k(i) = -6*i. Let r(q) = -4*k(q) - 22*t(q). Let m be (10\/(-15))\/(8\/12). Calculate r(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 - (59 - 95 - 28).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 688\/5 - 6062\/45. Let b(y) = -3*y**2 - 9*y + 3. Let d be b(-3). Are l and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - c - 11. What is o(6)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 231460.3 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2158, -4468, -6930, -9544, -12310, -15228?\n\"Answer: -76*l**2 - 2082*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4*o + 2 = 0. Let q(d) = 3*d - 1. Let c be q(o). Let p be 0 + -1 - (-4 + c). Is p != 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Suppose 19 = 4*z + r, r - 9 = -2*z - 0*z. Suppose -3*c = -v*c - z. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*k**2 - 2 - 32*k**2 + 2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 15*y - 1. Suppose -2*a = 5*z - 1, -4*a = 4*z + z - 7. Let p be 35\/(-21) - (-2)\/a. Give k(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 10*v**2 + 8*v + 9. Let u be 1*((-6)\/15 - (-47)\/5). Let f be o(u). Suppose h - 53 = 3*a, 4*h - a = -f*a + 190. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.2 = -3564196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 0*g - 2*g)*(3*g + 0*g - g + 2)*(1 - 2 + 3)*(4*g**2 + g - g + (-6*g + 2*g + 3*g)*(-2*g + 7*g - 3*g)).\nAnswer: -48*g**4 - 48*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((0 - -1) + 1). Let j = 0 - g. Differentiate 7 + 0*v - j - 3 - 3*v with respect to v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6934796 + -2.64952. Let m = s + -0.044. What is m rounded to six dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1780.817 litres to millilitres.\nAnswer: 1780817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 161.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40687 and 78080?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 108a (base 11) to base 2\nAnswer: 10110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 163653*k + 1636555\/2.\nAnswer: -(k - 327311)*(k + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -525, -482, -439, -396, -353, -310?\n\"Answer: 43*a - 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*c + 533 + 7224 = 297*c - 4161 for c.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 12 = d, 5*d - 33*p + 34*p - 5 = 0. Solve -a - 26*k + 30*k = 6, 0 = -4*a + 3*k + d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 85*b - 509, -4*b + 21 = -7*l + 10*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2468 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1001\/(-35) - (-2)\/(-5). Let s = j - -32. Let c(q) = 37*q - 4. Does 23 divide c(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j - 14. Let w(i) = 3*i + 7. Let y(o) = -4*a(o) - 7*w(o). Let u = -2 - -2. Suppose u*b = -b. What is y(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + v. Let c(a) = a**2 + 12*a + 12. Let t be c(-11). Determine j(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1828, 1867, 1934, 2035, 2176, 2363, 2602?\n\"Answer: m**3 + 8*m**2 + 8*m + 1811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/7 (b) -5 (c) -10655\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13522526*v**2 + 6750330*v**2 + 6772194*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/240 - 63501\/(-2440)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o - 20 = 0. Suppose -5*p - 16 = o. Is 3\/p*(-144 - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-80)*-2)\/(-1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.4676119m?\nAnswer: 467611900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 36*u + 26. Let h(n) = -1165*n + 8192. Let m be h(7). Give d(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -333*n**2 + 3736*n + 2707639.\nAnswer: -666*n + 3736","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(4\/5)\/p*p)\/((p*p**(1\/3))\/p*p))\/(p\/(p\/(p\/p**10)*p)*p*(p\/(p\/p**(-3\/2)))\/p*p*p) assuming p is positive.\nAnswer: p**(269\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215523 to the power of 1\/2, to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -1\/2, 279, -1.022, 5, -2\/15?\nAnswer: 279","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1674.68 - -1610. Let y = -103 - -40. Let i = z - y. What is i rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 906 = -222418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 3.1218.\nAnswer: 1.24872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2, 23, 56, 101, 158, 227, 308?\n\"Answer: 6*t**2 + 3*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -540 - 1968 + 5615*s**2 - 540 - 2266 wrt s.\nAnswer: 11230*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 574*w + 4 - 591*w.\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 63*k**2 - 65*k + 191. Let u be b(62). Let g(q) = 49*q - 1. Let o(v) = -90*v + 2. Let m(n) = u*o(n) + 9*g(n). Determine m(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 630 by -15.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 7*n + 1. Let l(f) = -13*f + 8. Let d be l(1). Give s(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1310*o - 1310*o - 1373*o - 1293*o - 1305*o - 1307*o + 7903*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/7366 and 9\/290?\nAnswer: 36830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 11:20 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91395.\nAnswer: 3, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/7? (a) -1\/3 (b) 1 (c) -5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173090497 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -379365 by -46.\nAnswer: 379365\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7820 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 10567392*p + 9305814473472.\nAnswer: 3*(p + 1761232)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c**4 - 2152*c**3 + 17124*c**2 + 11896*c - 7360 = 0. What is c?\nAnswer: -115, -1, 2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**3 - 2*r**2 + 46*r - 45. Calculate m(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -0.069.\nAnswer: 0.00345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**2*v**2 - 41*h**2*v - 8585*h**2 - 2*h*v**2 - 3*v + 1 with respect to v.\nAnswer: 4*h**2*v - 41*h**2 - 4*h*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooooonooaoo. Give prob of sequence noon.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p**2 + p**3 - 274365*p - 274295*p + 548660*p + 15*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**4\/4 - x**2\/2 - 7*x - 3. Let c be f(0). Let r = c - -24. Calculate the remainder when 32 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448 divided by 112.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1608*g**3 - 1603*g**3 + 3180*g**3.\nAnswer: -31*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247, 248, 249, 250, 251?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*v + 13488 = 0, -4*k - 5321 = -2*v - 32321. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -2.32?\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -5674287 in decreasing order.\nAnswer: -2, -5, -5674287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*z - 1 - 4, -5*z + 5 = 0. Let r be o\/3*(-3)\/2. Let n = r - 7\/10. Are n and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 5776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 10, -2*j + 2*j - 7*j = -8*j + 5*n - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s + 10. Let h(y) be the second derivative of y**5\/20 + 3*y**4\/4 - 2*y**3 - 13*y**2\/2 - 2*y. What is the units digit of h(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -1\/4, 4\/7 in decreasing order.\nAnswer: 4\/7, -1\/4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/17 - 319920*a\/17 - 12793600800\/17.\nAnswer: -2*(a + 79980)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*f + 77 = -5*f, -45 = -2*x - 5*f. Suppose -x = -11*w + 6*w. What is the greatest common factor of w and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 129.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - -1377. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from {u: 5, p: 3, d: 2, q: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 1.116 (b) -8\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -2\/5, 18806?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28632 (base 9) to base 11.\nAnswer: 1369a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 17488.\nAnswer: 52464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-344)\/4*3 + 4. Let s = 403 + d. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2018.60635 + 0.1?\nAnswer: -2018.50635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, -22, -10, 22, 80?\n\"Answer: a**3 + a**2 - 12*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 - (4 + -13 - -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*m**4 + 95*m**3 - 24*m**2 - 144*m.\nAnswer: -m*(m + 1)*(5*m - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -738, -6021, -20364, -48297, -94350, -163053, -258936?\nAnswer: -386529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28406.\nAnswer: 2, 7, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**4\/12 + 4*l. Let u(k) = -14*k**2 - 3. Calculate u(q(m)).\nAnswer: -14*m**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 - 5 = 0. Let i(l) = -35*l - 3574. Let r be i(-102). Which is the nearest to 2\/13? (a) r (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1397 - -1360.28. Round f to zero dps.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 divided by -143628?\nAnswer: -163\/143628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 11.9. Which is the nearest to i? (a) 1 (b) 3 (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/50 and 7 + (-4)\/(-58) + 472521\/(-60900).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390.4872 years in centuries?\nAnswer: 3.904872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 21*c. Suppose 2*m = 5*r - 8, -3*r = -2*m + 6*m - 10. What is p(m)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - p**2 - 8*p + 96. Let s be l(0). Which is smaller: 97 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 740 and 23495?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (315 - (-7 + 6))*4\/730. Let j = 5\/73 + o. Factor 0 - 3\/5*g - 9\/5*g**3 + 3\/5*g**4 + j*g**2.\nAnswer: 3*g*(g - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2240 and 34090?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 25, 257 = 4*u - 0*u + 3*m. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 - 12855*u**3.\nAnswer: -3*u**3*(u + 4285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 30 = -2*s, -61*q + 29*q + 28*q - 12 = 3*s + 5 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 10. Let j be u(-8). Suppose -5*t + j*i = 5, i + 0 - 9 = -4*t. Let s be 0 + (2 - -2 - t). Solve 0 = -s*b - 2 - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44173?\nAnswer: 163, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*c + 150*c + 1 = 5*x, x + 13 = 3*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1\/2 (c) 1\/4 (d) 1\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4160107*p**5 + 92457*p**2 + 14?\nAnswer: -249606420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3*q**4 + 0 + (-2*q**3 + 2*q**3 - 2*q**3)*(2*q + 3*q - 3*q) + (0*q**4 - q**4 - 2*q**4)*(-5 + 2 + 4).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.8 and -0.172104.\nAnswer: -0.6539952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 7*i**2 + 7*i - 4. Let s be l(6). Suppose -4*c - s = -34. Solve 3*j = j - c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.354 times 0.4?\nAnswer: -2.1416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**5\/2 - 3493*a**4\/4 - 2617*a**3\/2 + 437*a**2 + 1309*a + 1745\/4 = 0.\nAnswer: -1745, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 1. Let g be (-2)\/l - (-21)\/6. Let y be (24\/(-10) + 2)\/((-38)\/95). Calculate the highest common divisor of y and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38675?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 7*o - 2. Calculate y(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(675)*-2)\/sqrt(9).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 5 = -4*m. Let u be (-3)\/(5\/((-30)\/(-9))). Let x be (-2)\/u - (-6 - -7). What is the nearest to 0.1 in m, -4\/9, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -5) + 3 + -4. Suppose k*s + 2 = -0*s, -133 = -5*j + 3*s. Let v = -535 - -537. Calculate the smallest common multiple of v and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 27 (b) -0.7 (c) 2\/9 (d) 2\/15 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - x**2 - 3*x)*(2*x**2 + 0*x + 0*x) + x + 2*x**4 + 2*x**4 - 3*x**4.\nAnswer: -x**4 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, u: 1, z: 2, i: 1, g: 2}. What is prob of picking 1 u and 2 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 273 + -277 - ((-103)\/5 - (-9)\/15).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 1. Let i = -18 - -12. Let t be l(i). Calculate the highest common factor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.078901 less than -0.390755?\nAnswer: -0.469656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-1)\/82)\/((21\/(-434)*-31)\/(-3))\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 48485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*3\/96)\/((-144)\/(-192)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123 + -331. Let m be f\/36 - -6 - (-52)\/9. Let y be 1*(-7 + m)*11\/(-10). Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/51 (b) -5 (c) -0.6 (d) 59545 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r - 5*f + 45 = 0, 5*f = 2*r + 10. Sort r, 3, 4 in descending order.\nAnswer: r, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161 + 106. Is s a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u. Let a(v) = -v + 10. Let z be a(8). Let h = z + 0. What is the lowest common multiple of f(10) and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, v: 3}. What is prob of picking 2 v and 2 k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 18 = -8. What is the lowest common multiple of u and (18\/(-5))\/((-3)\/15)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*c**2 + c**2 - 2 + (-14 + 4*c + 14)*(0*c - 5*c + 2*c).\nAnswer: -9*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -23. Let v = m - 6. Let c(b) = -b + 3*b - v*b. Let p(o) = -2*o**2. Give c(p(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**3 + 5*w**3 - 2*w**3 + (-2*w - 2*w + 6*w)*(-4*w**2 + 6*w**2 - 3*w**2) - 2*w**3 + 3*w**3 - 2*w**3 - 4*w + 4*w - 2*w**3 + 2*w**3 - 3*w**3 - 4*w**3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -1\/4, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-18))\/(((-110)\/(-4))\/(-11))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -139938, -139937, -139936?\n\"Answer: n - 139939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -106306, -212642, -318982, -425326, -531674, -638026, -744382?\n\"Answer: -2*t**2 - 106330*t + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4 = -3*u, 0*x - x = -u - 2. Let y be (-74)\/12 + u\/18. Let g = 16 + y. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*d + 10, -4*z + 0*z = 12. Suppose -966 = -5*k - s + 2*s, 5*s - 990 = -d*k. Is k a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**2 + 1. Let z(t) be the first derivative of 2*t**3\/3 + 2. Calculate x(z(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*n**3 - n**5 - 57*n + 30*n**3 + 36 + 55*n**2 - 29*n**2 - 22*n**2.\nAnswer: -(n - 4)*(n - 1)**2*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -5161, 3.\nAnswer: -5161, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/5*d**2 + 33\/5*d + 6 = 0. What is d?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g + 5 = y, 2*y + 2*g - 2 = 0. Suppose 5*n + 6*s = 2*s + 27, 3*n + s - 12 = y. Suppose -311*m = -319*m. Solve 3*t = -3*a, m = n*a + 5 + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/27 (b) 113 (c) 169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 + 5*v + 2. Let u be p(-3). Let q = 27 - u. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 6*n**2 + 3*n - 5. Calculate t(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*(-5 + sqrt(475)*-1))**2.\nAnswer: 1250*sqrt(19) + 12503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g + 31*g + 2*r - 5 = 0, 16 = 2*g - 5*r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-264))\/((-86)\/(-344)). What is the nearest to 0 in f, -5, -5\/4, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -718739*s**2 + 398313*s**2 + 124299*s**2 - 1331410*s**2.\nAnswer: -1527537*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -690330.48816 + 690234. Let s = -0.03184 + g. Let f = s - -95. Round f to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 1303289?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmdmmmdmddm. What is prob of picking 3 m?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 86*v**3 - 11*v**2 - 17*v - 12. Let h be c(-12). Round h to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24532 or 1?\nAnswer: 24532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 0 + 1\/15*f**5 + 0*f + 0*f**4 - 29\/120*f**6 + 0*f**3 - 35*f**2. What is the third derivative of y(h) wrt h?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -2. Suppose 11*p - m*p - 10 = 0. Suppose 0 = p*z - z - 85. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s + 4. Suppose j + 1 = 5. What is the remainder when v(1) is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25797\/4147 or 7?\nAnswer: 25797\/4147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40944.046 + -41022. Let d = k - 0.046. Let i = d - -82. Put i, -0.4, 3\/8 in increasing order.\nAnswer: -0.4, 3\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**5 + 13*t**4 - 7*t**3 + t**2 - 3*t. Let v(l) = 3*l**5 - 9*l**4 + 5*l**3 - l**2 + 2*l. Let w(i) = -7*v(i) - 5*x(i). Let w(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 18508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -3*r**2\/2 + 95*r - 10. Let p be w(0). Suppose -2*t - b + p = -0*b, -5*b = 2*t - 99. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6)*(1 - 133). Let t be (1\/2)\/(8\/80). Suppose t*i = 2*i + h. Calculate the lowest common multiple of 18 and i.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2342*g + 69200 - 53716 = -113326 for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108 (base 13) in base 16?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 110 = -2*o, 3 - 7 = 2*c. Put o, -1, 1 in ascending order.\nAnswer: o, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -281\/5 + 57. What is the second smallest value in -18, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2655 + 7966\/3. Factor -x*f**3 + 1\/3 + 1\/3*f - 1\/3*f**2.\nAnswer: -(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-67)\/(-5) + 4\/(-10). Let h(l) = 2*l**3 - l**2 + 4*l - 4. Let y be h(2). Let i = -13 + y. Solve -3*v = i*m - 3, 0*v = -3*m + v - p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*u - 30*u = 10*u + 304. Sort 16, 1, u in descending order.\nAnswer: 16, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6)\/i)\/i*i**(1\/4)*i)\/(i**(-2\/3)*i*i*i**(-5)) assuming i is positive.\nAnswer: i**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -35. Solve -5*v + v + k = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3063667 (base 10) to base 12\nAnswer: -1038b57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -1095*y + 5\/3*y**2 + 6550\/3 = 0. What is y?\nAnswer: 2, 655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 484803 divided by 747.\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.275 - -90065?\nAnswer: 90037.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*x - 4*k - 182, -2*x = -3*k - 114. Suppose -2*o + 18 + x = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - u + 3*u**4 - u**3 - 3*u**4 + 0*u + u**4 to the form z*u**2 + r*u**4 + m*u**3 + p + o*u and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 0.3, -9, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 57114 (base 8) to base 2\nAnswer: 101111001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 245*n**2 + 31874*n + 2725. What is j(-339)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 - -0.225. Round p to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77513 divided by -1085.\nAnswer: -77513\/1085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174904 and 218630.\nAnswer: 874520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1848*l - 1834*l + 3682*l + 39395*l**2.\nAnswer: 39395*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.3 - -7. Which is the second biggest value? (a) y (b) -1\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*c**4 - 234617*c**3 + 107*c**2 + 37*c + 193.\nAnswer: -288*c - 1407702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) -76.3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4243268 divided by 249604\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a factor of 29462130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5223 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-110)\/(-350)*(-4730)\/16. Let t = m + 813\/8. Is 9 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1698*p - 1489. Is z(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*b + 193*b - 56 = 0. Does 5 divide (-2 - b)*(-7)\/(7\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 22 - 12 - 10. Let l(r) = -r + 2*r - 2*r. Calculate y(l(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 242601.7km in micrometers?\nAnswer: 242601700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (1 + -7 - -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 16*q**2 - 4*q - 31. Give a(-16).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 6*d**3 + 0*d**2 - 4 + d**2 - 10*d**2 - 7*d. Is c(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*((-1 + sqrt(112) + 0 + sqrt(112))**2 - sqrt(112))*5.\nAnswer: -800*sqrt(7) + 17960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-7))\/((-44 - -41) + 5)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*r, 2*p = -0*p + 3*r - 77. Calculate the common denominator of (-8 - (0 + -6))\/(p\/226) and -1\/106.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*s + 65*s + 8784 = 252*s. Solve -9*u + 18*u = -s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11649 is divided by 776.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.8, 0.1929239 in increasing order.\nAnswer: -0.8, 0.1929239, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*r + 50 = 0, 0 = 2*b - b + 3*r - 7. Let u = -19 - -12. What is the remainder when b is divided by (-2)\/u - (-141)\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221355 to the power of 1\/2, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60647.\nAnswer: 60647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 811 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 23*a**6\/40 - 119*a**5\/60 + a**4\/6 - 13*a**2 - 79*a. What is the third derivative of w(s) wrt s?\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 855 a factor of 39047042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b + 5*b = 1620. Suppose b = 7*m - 6*m + 2*n, m - 53 = -n. Calculate the remainder when m is divided by (-1 + -1)\/(1\/(-7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*g**3 + 38*g**3 - 133 + 133.\nAnswer: 101*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 193\/56 + -23\/8. Let h = -4727 + 4727. Factor 0*n + b*n**2 + h - 2*n**4 - 10\/7*n**3.\nAnswer: -2*n**2*(n + 1)*(7*n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*k - 77 + 19, -2*x = -k - 83. Suppose 26 = w - 4*i + 6*i, 4*w - 5*i = x. What is the greatest common factor of 64 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/109 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39507822 to the power of 1\/2, to the nearest integer?\nAnswer: 6286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 2\/1 + 0\/(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*l - 23 = 0, 5*h + 6*l + 21 = 2*l. Let p = h - 1. Let k = p + 20. What is the remainder when k is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) 2 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, b: 6, e: 5, m: 3, z: 1, v: 1}. Give prob of sequence gbm.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 5*v**4\/4 - 13*v + 15. Find the first derivative of b(q) wrt q.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1214 and 36\/17.\nAnswer: 20638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Let p(d) = -6 + 6 + d**2 - 4*d**n. Let u(q) = q**2. Calculate u(p(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2738, 2740, 2742, 2744?\nAnswer: 2746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**4\/4 - 4461*q**3\/2 + 3716919*q**2\/4 = 0. What is q?\nAnswer: 0, 501, 2473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145413176 to the nearest integer?\nAnswer: 12059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 278 - u**3 + u**2 - u + 26*u**2 - 233. Calculate the remainder when 26 is divided by p(27).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23419*s**3*y**4 - 4*s**3 + 439*s**2 - 2 with respect to y.\nAnswer: -93676*s**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 12) to base 16\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 162\/1147 or -1?\nAnswer: 162\/1147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 e, and 1 w when three letters picked without replacement from wqxxxxexeemexemex?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 - -51. Put -4, -3, p in ascending order.\nAnswer: p, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 932.0179l?\nAnswer: 932017.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 726*n - 723*n - 100 = 0, 2*k - 14 = 4*n. Let a = 15 + -23. Let g = a + k. Calculate the highest common divisor of 45 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7, 106, 271, 502, 799, 1162?\n\"Answer: 33*a**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*h + 15 - 64, 3*h + o = 35. What is the remainder when 32 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*c - 6*c - 3*c**2 + 4*c**2 - 595*c.\nAnswer: c**2 - 530*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1325995731.\nAnswer: 3, 19, 2584787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 702 and 1080.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23851 is divided by 77.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-4)*(-117)\/(-6)*3. Suppose -a = -2*g + 237. Suppose g = y - 26. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/8134 and 25\/18011?\nAnswer: 252154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 7:57 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 7:08 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539*o**2 + 0*o + 8*o - 558*o**2 - 8*o.\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/31)\/m*m\/(m*m**(2\/9))*m**(-9)*m**4\/m assuming m is positive.\nAnswer: m**(-2033\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 704\/44 - (13 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 174.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.7 + -1.8. Let d = 16 + c. Let h be (-14)\/(-12) + (-1)\/2. Put h, d, 3 in decreasing order.\nAnswer: 3, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18080*k**6 + 11*k**3*r**3 - 6*k**2*r**3 - 38*k**2*r**2 + 7*k*r**3 + r + 1 wrt k?\nAnswer: -2169600*k**3 + 66*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 113, 112, 109, 104, 97?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 2 - 5*o**3 - 2 + (1 + 2 + 67*o - 65*o)*(-3*o**2 + 0*o**2 - 28 + 3*o + 27).\nAnswer: -11*o**3 - 3*o**2 + 6*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 59*h**5 - 20888*h**4 + 1945820*h**3 - 16383920*h**2 - 97192384*h + 3313408 = 0. Calculate h.\nAnswer: -4, 2\/59, 14, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (26 - -5) + -22 + 0 + 1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -25 + 22. What is the closest to l in 5, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 7 (c) 1\/5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**3*v**2 + 2*h**3*v - 3436*h**3 - 1292*h**2 + 88*v**2 wrt h.\nAnswer: 6*v**2 + 12*v - 20616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8983099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8630)\/2589*(-162)\/(-15).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/84928 and 29\/6252?\nAnswer: 132742464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 138545000 to the nearest 1000000.\nAnswer: 139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 1 - (5 + -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 2, j: 2, e: 2, b: 2, h: 3}. What is prob of picking 1 h, 1 j, and 1 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1039, 5, -3, 106, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/2*n**3 + 3\/2*n**5 + 0*n**2 + 0*n**4 + 0*n + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 5047?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.6, -5817, 0.4, -1, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*j + 25*j + 36*j - 800 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.4544 minus 3?\nAnswer: -26.4544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52441474 is divided by 2556.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 6 (b) -9 (c) 0.1 (d) 75 (e) 5\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10488\/115)\/(-12) + 8. What is the smallest value in 2\/11, -5\/3, 3\/2, r?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**5\/4 - a**3\/3 - 9*a**2. Let i be u(-2). Let m = -32 - i. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 2\/7, 2, 23, -2\/13?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9321*r = -20260*r - 820425 for r.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -1946, 17, -96 in ascending order.\nAnswer: -1946, -96, -1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -17*j**2 + 3*j. Let x be v(2). Let o = -43 - x. Suppose o = z - 15. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33962157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 8, y: 2}. Give prob of picking 2 q.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/256710 and 43\/684?\nAnswer: 29264940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26154 + -25667. Put -0.02, 4, s in descending order.\nAnswer: s, 4, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -4\/3, -130 in ascending order.\nAnswer: -130, -4\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -492.3 take away -12.247?\nAnswer: -480.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) 1 (c) 1214 (d) -387\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -32*k**2 - 25\/6*k**3 + 0 + 0*k + 23\/24*k**4. Is m(22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 45 - 6. Let g = 89 + a. Let n = g - 35. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1146184 by -214.\nAnswer: -5356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*(k\/(((k\/k**(1\/4))\/k)\/k*k))\/k*k)))**15\/((k**7\/k)\/k**(-3\/5)))\/((k\/(k*k**(-2\/5)))**(-2\/13))**20 assuming k is positive.\nAnswer: k**(7379\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (5 - -1) + -5. What is the units digit of (-5 - i)*4\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277524 divided by -6.\nAnswer: -46254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*s - 548 - 1675. What is the greatest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21102121103 (base 4) to base 11.\nAnswer: -1413202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 2746193412.\nAnswer: 13730967060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -201, -186, -161, -126, -81, -26?\n\"Answer: 5*u**2 - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54262852.000147 - 54263091. Let y = 318 - 557. Let l = y - s. Round l to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698101 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3 = -m, 68*f - 4*m = 69*f - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Suppose -4*x - 62 = 2*f, -4*f = 3*x - 6*x + 113. Let m = f + 59\/2. What is the biggest value in m, -0.3, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llhhfhll. What is prob of picking 2 l?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 33349*t**2 - 2 - 32244*t**2 - 4 - 2*t**2 + 4 + (3*t + 2*t - 4*t)*(-6*t + 2*t + 2*t) - 5*t**2 + 5*t**2 + t**2.\nAnswer: 1102*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6924880 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*f + 405 = -78*f. Suppose 0 = -0*w - w - 1. Sort w, f, 2, 4 in decreasing order.\nAnswer: f, 4, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -2, -19, -58, -4, 2 in descending order.\nAnswer: 2, -2, -3, -4, -6, -19, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*x**4 + 48*x**3 + 8*x**2 + 2.\nAnswer: 72*x + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -2*i**2 + 0*i**3 + 0*i + 1\/60*i**5 + 0*i**4 + 0. Let s(g) = g**2. Calculate s(t(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeiie. Give prob of picking 1 e and 1 i.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 208872 times -2?\nAnswer: -417744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*(-32)\/240)\/(15\/(-100)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -122*o**2 - 272 + 63*o**2 + 273 as b + u*o + p*o**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/5, -2, 3, 0.09, 0.11, 0.3, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7061.763 milliseconds?\nAnswer: 7061763000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 794.5693ml?\nAnswer: 0.7945693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11616 (b) 1.6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (191 - 75) + -150 + 139.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*492\/(-16)*(28400\/750)\/71.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 197 (c) 4 (d) -1\/6 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-7\/5))\/p**(-10))\/(p**(-2\/7)*p**(-3)) assuming p is positive.\nAnswer: p**(549\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = -3*m - 5*y, 102604 - 102524 = 2*m + 3*y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -824003748 by 4.\nAnswer: -206000937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5\/11 + 2020*k**4\/11 - 118642*k**3\/11 + 803908*k**2\/11 + 4703816*k\/11 + 5210608\/11 = 0. What is k?\nAnswer: -1066, -2, 13, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*u**2 - 2*u - 25 wrt u.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2. Let m(a) be the second derivative of 3*a**4\/8 - 45*a**2\/2 + 10*a. Let y(f) be the first derivative of m(f). Determine u(y(g)).\nAnswer: 243*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23000 (base 4) to base 16.\nAnswer: -2c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -72 and -808\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 990969142 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/3, -0.1, 3, -7\/3, -2\/9 in ascending order.\nAnswer: -7\/3, -2\/9, -0.1, 3, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**3\/6 + t**2\/2 + 5*t. Let y(u) = -u - 2. What is 4*c(z) + 2*y(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4 - 6. Which is the nearest to 0.3? (a) -0.1 (b) x (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3305 - -0.276. What is v rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**4 - 25383*t**3 - 383220*t**2 + 15267300*t - 88998000 = 0.\nAnswer: -35, 10, 8476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -733639 or -733640?\nAnswer: -733640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 11*u = 11*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 + 172*j - 120. Calculate a(-59).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + k + 359 - 16 = 0, 0 = -5*m - 5*k + 895. Let p(x) = x**2 - m*x - 1 - 1 + 169*x. Calculate p(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 5*w - 4*q - 32, -5 = 5*w + 3*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*g + 111107 = -18043. Suppose 5*j - g = -2*p, 0 = 5*j - 7*p + 3*p - 3150. Is j a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 4*y**2 + 9*y - 4. Let m be d(5). What is the highest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48471 or -55508?\nAnswer: -48471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a - 2 - 1 + 3.\nAnswer: -31*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1858383 divided by 4.\nAnswer: -1858383\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let q be i(2). Solve o + x = -q*x - 5, -5*o - 2*x - 25 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 61.90588ng?\nAnswer: 0.00006190588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 19 = i, 2*i + 3*c = -2*c - 33. Let a = i - -7. Solve -g = -1 + a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 680\/212697 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 6:46 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 49*g**2 + 180*g + 2. Let x be s(-45). Let w(v) = 91*v**3 - v**2 + 9. Is 21 a factor of w(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 149, 7, -5\/26?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21982, 21882, 21780, 21676?\nAnswer: 21570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**4 - 39*l**3 - 45*l**2 + 219*l - 132 = 0.\nAnswer: -11, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + -3 + (-2 - -4) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011110100 (base 2) in base 16?\nAnswer: 2f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3281.119 decades?\nAnswer: 328.1119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 17*g**6\/120 + 2*g**5\/5 - g**2\/2 + 34. Let l(n) be the second derivative of j(n). What is the third derivative of l(b) wrt b?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 + -103. Solve -z - 6 = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 5. Let m(n) = -2*n + 4. Let r(k) = 6*m(k) + 7*x(k). Let d(a) = -5*a - 10. Let s(b) = 5*d(b) - 4*r(b). Does 27 divide s(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1204 by 301.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-4) + (-3)\/(-6). Suppose -18 = a - z*a + x, -90 = -5*a + x. Solve 3*l + a = -5*r, 1 + 8 = 3*l - 4*r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**3 - u**2 - u + 3. Let q be g(3). Let a = 247 + q. Suppose 75*b + 1736 = 291*b - 424. Calculate the highest common factor of a and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, m: 3, h: 5, e: 2}. What is prob of sequence mha?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 10 = 2. Suppose z*n - 5*n = -6. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-7 - (-1 - (-8 + 4))) - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a2e (base 16) to base 12.\nAnswer: -1612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*r = 23*r + 30 + 274 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.5 - 7. Let d = 0 - 2. Which is the nearest to 0? (a) h (b) d (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*v - 2*v - 3 = 0, -4*q + 13 = v. Let a(p) be the first derivative of 4*p**3 - 7*p**2\/2 + 7*p - 426. What are the prime factors of a(q)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 0*t + 4 - 1\/2*t**2. Let s(a) = 4*a. Calculate -9*g(n) - 2*s(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1416 - 837. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 46. Is 4 + -3 + ((-18)\/(-3) - x) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 + 20032231?\nAnswer: 20033012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 15. What is the tens digit of (6 - -21) + -2 + n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3 - (-42)\/(-36). Let f = 77 - 77.17. Which is bigger: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 2443581. Let j(w) = -4*w. Determine j(d(r)).\nAnswer: -4*r**2 - 9774324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**6\/120 + d**5\/6 - d**4\/12 + 19*d**3\/6 + 239*d**2. Let p be z(10). Let x be -2 + 1 - 178\/(-180). Which is smaller: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 - 3*q**2 - q - 1. Let k(a) = -14*a**3 - 233*a**2 - 6*a - 6. Give -k(p) + 6*t(p).\nAnswer: 2*p**3 + 215*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.2, 157\/8, -1.\nAnswer: -5, -1, -0.2, 157\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 712452713 and -166327.\nAnswer: 712286386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 280993*q - 4495887. Give g(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5 + 21*k**4 - 48*k**3 + 24*k**2 + 48*k - 48 = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and 340 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57012 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-2\/3)*j*(j**(1\/3)*j)\/j)**(8\/9)*(j**(-2\/5)\/(j*j*j**6))\/(j*j\/((j**(-1)*j)\/j)*j*j)**31 assuming j is positive.\nAnswer: j**(-7193\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3 = -3*x, 4 - 3 = -2*i - 5*x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29\/3 + -31\/3. What is the nearest to k in -10, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -4b?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9841, -13093, -18499, -26047, -35725, -47521, -61423, -77419?\n\"Answer: 2*q**3 - 1089*q**2 + q - 8755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 + 6461 = 471*v - 963*v + 374*v for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81314372701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (10 - -31) - (2 + 4)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 150607 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*g + 87542 = 88494 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from {d: 1, g: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/12)\/(6\/27). Let w = 540 - 545. What is the closest to 1 in u, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(-414)\/60 - 27. Factor -9\/2*h**3 + 3\/2*h**5 - c*h**2 - 3*h + 3\/2*h**4 + 0.\nAnswer: 3*h*(h - 2)*(h + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1282607406859.1 - 1282612219284.0999905. Let j = n - -4812428. Let k = j - 3. Round k to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 142 + -132. Is -4 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -v - 5, -v - 23 = -4*r + 4*v. Suppose -3*w = 15, 28 = r*h - h - 4*w. Solve -5*z + z = -h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440*j**2 + 16714*j - 228 = 0. What is j?\nAnswer: -38, 3\/220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 6*o**2 + 5*o + 4. Let d be b(5). Suppose -d*f - 53 = -9. Let n = 23 + f. Calculate the remainder when n is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6266293.8 * -5.\nAnswer: -31331469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/10 and 711\/(-60) + 3 + 135\/(-36).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9295840999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3906 and 783.\nAnswer: -3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 305 = y + 250 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*f - 89 = 0, 3*f - 11 + 168 = 4*i. Suppose -i = 4*u - 97. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -591*a**2 + a**3 - 2 - 6*a**4 + 591*a**2 - 4*a to the form f*a**3 + m*a**2 + j*a + k + x*a**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 52 - 44 = 0. Let h(o) = 0*o**2 - 4*o + 2 + 2*o**2 - 5. Give h(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**3 + 10432609*d**2 + 41730424*d + 41730420 = 0.\nAnswer: -10432605, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13995*a**3 + 5*a**2 - 6636*a - 4?\nAnswer: 83970*a + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 31 = -175*a + 172*a, -a = 4*n + 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -93 + 0*q + 4132*q**2 + 8067*q**2 - 2827*q**2 + 95 - q in the form y*q**2 + a + r*q and give y.\nAnswer: 9372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (0 - 13) + -4 + -1 - (1 + -2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 5*q - 8. Let t be h(7). Let y = t + -120. Let f(o) = -o + 10. What is f(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 2. Let y = h - 12. Solve -x = -0*x - y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 5*i + 7, -i = -2816*q + 2815*q - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -450\/17? (a) -60\/11 (b) -1\/12 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-95 + 10 - 29)*(0 - 2 + 3)*(-2 - 2*m + 2)*(1 - 1 + 2 - 1 + 13 + 0 + (-3 + 2 + 0)*(3 - 1 - 3)) to the form d + u*m and give u.\nAnswer: 3420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 399247?\nAnswer: 399247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 47.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/4, 4, -0.5, -2, 96081?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 810 = -14*o + 17*o, 2*o = -h + 531. Calculate the remainder when o is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100*f**2 + 57*f**2 + 13*f**2)*((-2 + 3 - 2)*(-2 + 5 + 5) - 2 + 3 + 0 - 5 + 1 + 6 + 0 + 2 - 1 + 2 - 2 + 2 + (-3 + 5 - 4)*(2 + 1 - 1) + 2 + 4 - 4).\nAnswer: -680*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1141 and 44988?\nAnswer: 314916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 9*q**2 - 9*q + 10. Determine w(3).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w**2 - 82*w**2 + 160*w**2.\nAnswer: 58*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*v = -62*v - 28. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*n. Sort n, -1, -5 in descending order.\nAnswer: n, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -313\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szxszss. What is prob of sequence sx?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1473109958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 320214 (base 5) to base 3\nAnswer: 112122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 66\/55*10\/(-4). Let a be (-8)\/6 - 4\/z. Suppose a = -2*v + 30 + 12. What is the remainder when 41 is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(432) + -3 + -4*(1 + sqrt(432) + sqrt(432)))**2.\nAnswer: -63696 - 4032*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 8)\/(8\/315412) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 470\/314431?\nAnswer: 470\/314431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 6, 24 in increasing order.\nAnswer: -5, -3, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3366105.\nAnswer: 3, 5, 349, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2)*(-1164)\/(-18). Let n be (-1)\/(((-2)\/c)\/2). Suppose 4*x - 360 = 2*i, -x + 2*i = 5*i - n. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 7*p. Calculate i(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l + 12 = 0. Let a be 6\/(-9) + 22\/l. Find r such that -6*r**2 + 6 - 2*r + 0*r - 2*r + 3*r**a + r = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 - 5*f**2 - 3*f - 1. Suppose -5 - 19 = -4*m. Let g be m\/2*5\/(-5). What is the units digit of w(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*y + 1\/7*y**2 - 1\/7*y**3 + 0.\nAnswer: -y*(y - 2)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 11*q**2 + 5*q + 2. Let i(b) = 17*b**2 + 8*b + 3. What is -5*i(d) + 8*z(d)?\nAnswer: 3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 555*m - 11256. What is d(19)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1274, -2431, -4360, -7061, -10534, -14779, -19796?\n\"Answer: -386*g**2 + g - 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2205.3 - 2090. Let r = m - 125. What is r rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 74152*i - 444855. Determine f(6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 13023*r + 3*r**2 - 2*r**2.\nAnswer: -r**2 + 13023*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by (1\/(-2))\/((-1)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -780*h + 6. Let v(l) = 130*l - 1. What is -6*g(t) - 38*v(t)?\nAnswer: -260*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 44*t + 98. What is the units digit of h(-35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 12020?\nAnswer: 12102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -3594.6, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 719909797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 7. Let m be b(-6). Let r be (m\/3)\/(2\/6). Are r and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*m + 3*p, 5*m - p = 9 + 5. Suppose 4*t - 6 = -30. Let h = m - t. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*n**5 - 235*n**4\/2 + 295*n**3 + 1115*n**2\/2 - 525*n = 0. Calculate n.\nAnswer: -5, -2, 0, 3\/4, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -310066, -310065, -310064?\n\"Answer: r - 310067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -27, -11, 41, 141?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*l + 29*l - 17*l - 2 in the form f + d*l and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 60.084. Let m = o - 3.916. Put -1, m, 1\/3 in ascending order.\nAnswer: m, -1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1637.\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 14 = -3*h, -25*r = 3*h - 29*r + 29. Let c(n) = -25*n**3 - 2*n**2. What are the prime factors of c(h)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*x + 577 = -336*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.55991 less than 1.2476469?\nAnswer: 32.8075569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 28 = -5*b, 5*b + 21 = -3*v + 5. Suppose -v*h + 4*h = 19800. What is h rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -2*z - 5*s, -17*z + 2*s = -12*z - 276. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-1189))\/(-58*(-2)\/(-19774)). Let v = -5\/841 - d. Is v greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 5*b - 6. Let h(i) = -2*i**2 + 4*i + 5. What is 4*h(z) + 3*p(z)?\nAnswer: -2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130515358*f**6 - f**2 + 3552*f - 7.\nAnswer: 15661842960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + 11)\/(-2 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 72, 198, 380, 624, 936?\n\"Answer: g**3 + 22*g**2 + 53*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -236 - -56. Let d = 270 + b. Calculate the lowest common multiple of d and 33.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -11*d + 1. Let u be x(-4). Let a = -32 + u. Let s = 21 - 8. What is the highest common divisor of s and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 282.8 - 283. What is the nearest to 1 in -35, -0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*f + 12. Suppose -5*z - 84 = -1174. Let k = 223 - z. Solve k*i = 3*i - f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 902181688 and 130224.\nAnswer: 902311912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**2 + 4*l + 3. Let z be n(-2). Suppose -2*b + b + z = 0. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.14 and 0.\nAnswer: 5.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111101111000 - 0?\nAnswer: -1111101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79864*z - 78969 wrt z.\nAnswer: 79864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7 + 7 + k - 15. Let t(d) = -d**2 - 6*d - 6. Let w be t(-4). Let n(f) = -1. Give w*n(c) - u(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2033, 4067, 6101, 8135, 10169, 12203?\nAnswer: 14237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 99724197\/(-168) + (-6)\/(-21). Let y = 591511 + u. Let h = 2078 + y. What is the common denominator of h and -11\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 + 654415?\nAnswer: 654366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 152.8 * -3\nAnswer: -458.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 10*l - 2. Let h be r(-12). Let u be 9\/(-3) - h\/(-6). Which is the closest to -1\/4? (a) u (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168, 327, 488, 651, 816, 983?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/41436 and 40\/21?\nAnswer: 290052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 119972*h - 59967*h - 60005*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50704700 is divided by 61090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*x - 174, -x = 2*k - 0*x + 103. Let c = -36 - k. Solve -4*q = u + c, -u + 0*u - 2*q - 11 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*n = -3*q + 283*n - 4, -2*q = n + 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333305, 1333117, 2999435, 5332259, 8331589, 11997425, 16329767?\nAnswer: 21328615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2153, 4, -3, 3, -21 in decreasing order.\nAnswer: 2153, 4, 3, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142*x - 112*x**3 + 142*x)*(2*x - 17 + 17).\nAnswer: -224*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-127.\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3389 - -3388.943. What is the biggest value in 4\/5, r, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**6 - r**3 + 3. Find the third derivative of t(d) wrt d.\nAnswer: -360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8053 or 4051020\/503?\nAnswer: 4051020\/503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 11 (b) -0.3 (c) -1.17 (d) -0.01 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 4)\/((-6)\/4). Let w(c) = -c + 3*c**2 - 2*c**2 + 0*c**o - 11 - 4*c. Let d be w(7). Solve -d*i - 6 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 93.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 1, -3\/7, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -3. Suppose 20 + 6*p**3 - 11*p**3 - k*p - 33*p + p + 25*p**2 = 0. Calculate p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2797167 - 3357907.\nAnswer: -6155074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 248887576316 less than -1?\nAnswer: -248887576317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8578103 is divided by 689?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176 - -114. Let o = t - -67. List the prime factors of 385\/o*(3 - 1).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 2. Let x be c(-4). Let p(r) = 42*r**2 - 2. Let l be p(x). Suppose 2*m - 7*m + 3*b = -184, 5*m + 3*b = l. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/13)*x*x**(-1)\/x*x*x*x*(x\/(x**(-1\/4)\/x)*x*x)**(5\/16)*(x\/(x*x*x\/(x**0*x)))**40*x**2\/x**(2\/11) assuming x is positive.\nAnswer: x**(-320389\/9152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 11*m + 25. Let g be z(-11). What is the common denominator of 95\/6 and g\/11 + -1 + -3?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687879 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13\/((-26)\/(-6) + -4) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 21685032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4*-148250.37\nAnswer: 593001.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -113 - 140. Suppose -4*r - 2*o - 5 = n, 2*r + 4*o = -26. Let b = -1.3 + 0.3. Put b, r, -1\/6, 0.5 in descending order.\nAnswer: 0.5, -1\/6, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*m + 3*i - 6, -3*m - 2*i = 8. Let w = -3.97 + 4. Which is bigger: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 2. Let c be i(-4). Solve 10 - 27 = -5*w - c*v, 0 = 4*w - 5*v - 40 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -7 - (124 - 100) - -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 6:43 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.48256+-3589\nAnswer: -3589.48256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11*a. Let c(r) be the first derivative of 0*r - 14\/3*r**3 + 0*r**2 + 127. Give i(c(o)).\nAnswer: 154*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1058, 247 in decreasing order.\nAnswer: 247, -3, -1058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 5*j**2 - 15*j - 7. Let i be s(-7). Suppose i = 11*k - 1259 - 974. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 less than -1950.46?\nAnswer: -1796.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -2 - -3 - (1 + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -3)*12\/2. Let p(h) = -h**3 - 5*h**2 + 1. List the prime factors of p(m).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 273708\nAnswer: -273707.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/2*((-759)\/(-46))\/(-33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(-1)\/(-6)*10. Let l(v) = -4*v - 27. What is the remainder when 38 is divided by l(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -265407 smaller than -16720616\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.65 - 9.65. Let i = -7.8 - l. Which is the biggest value? (a) -0.1 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 - 59 = 21*a - 195 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21057191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -3, 1, 0, -1, 345 in descending order.\nAnswer: 345, 1, 0, -1, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/299646 and 121\/5793156?\nAnswer: 17379468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 12:05 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c + ac9?\nAnswer: b38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*v**2 - 128*v**2 - 60*v**2.\nAnswer: -249*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-7)*(-81)\/54\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -6.6. Let o = 42.9 + -43. Which is the closest to o? (a) -0.1 (b) w (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*s**2 + 31 - 11 - 19 as j*s + a + v*s**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 29. Let m(d) = -15266*d - 114. Determine 4*c(g) - m(g).\nAnswer: 15270*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7056, 7058, 7070, 7098, 7148, 7226, 7338?\n\"Answer: h**3 - h**2 - 2*h + 7058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 - 3)*(5 - 5 + 6)*(-6*n + 3*n + 7*n) as r + v*n and give v.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21916 and -289.79.\nAnswer: -6351037.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01246116563 rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 48, -1, 28.\nAnswer: -1, 1\/3, 28, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 3*z = 11*k - 54, 3*z - 20 = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/3)*t)\/t*t**(-1)*t*t**(4\/7)\/(t**(4\/5)*t))\/(t**(3\/10)\/t**(1\/2))**(4\/25) assuming t is positive.\nAnswer: t**(-1391\/2625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.001 and 2\/453 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrddddddddrddddd.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 = 97. Round r to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -3, 1, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412190.\nAnswer: 2, 5, 47, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - l + 20, -v - 10 = -3*l. Let r be -1*(-411)\/(v - -1). What is the common denominator of 91\/16 and r\/(-12) - 0\/1?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/979 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 11*s**3 + 8*s - 8. Let d(o) = -1 - 2*o - 2 + 2*o + 3*o + 4*o**3. Give -8*d(q) + 3*u(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 11:43 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 118*r**2 + 116*r + 60. What is w(-119)?\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqw when three letters picked without replacement from twqrurh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 214.5 - 214.9. Sort -4, i, -1.6, 1\/4 in ascending order.\nAnswer: -4, -1.6, i, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2023.367ml?\nAnswer: 2.023367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 26177460 to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 48 = -s. What is the common denominator of 29\/15 and 152\/s*(-10)\/(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5304564 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 18*y**4 + 3 + 4*y**3 - 55*y**4 - 2*y**3 to t*y**2 + m + z*y**4 + l*y**3 + k*y and give z.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 - -133. Suppose -25 = -4*j + s. What is the common denominator of -93\/2 and -7*((-25)\/j + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**2 + 16*g + 12. Let b be x(9). List the prime factors of ((-2)\/4)\/(((-68)\/b)\/(-17)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 48199142.\nAnswer: 24099571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15)\/(-10)*(-7570)\/(-3).\nAnswer: 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*m + 8 = -4*m, -15 = 5*m. Let d(p) = 2*p + 5. Let x be d(z). Let g(c) = -c**2 + 22*c + 1477. Let s be g(51). Are s and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8398 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 4*f - 2. Let k(s) = -s - 1. What is -3*k(p) + t(p)?\nAnswer: 2*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -28b3 (base 14) to base 16\nAnswer: -1c2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1492, -2, -3, 175 in descending order.\nAnswer: 1492, 175, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7781\/2 + -3890. What is the nearest to g in -0.4, -5, 1\/800?\nAnswer: 1\/800","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 657991?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1079, 1309, 711, -697, -2897?\n\"Answer: 3*r**3 - 432*r**2 + 1505*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1378*i + 1252*i = 78900 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4088 less than -936117\/229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 6 - 0. Let p = 7 - -26. What is the third derivative of 5*i**a + 52*i**5 - p*i**2 - 19*i**5 wrt i?\nAnswer: 1980*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.05 - -0.01. Let q = p - -3.1. Let y = q + 0.44. What is the nearest to 0 in -7, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -7*r + 4*r - 5*v, -3*r - 2*v = -185. Suppose 5*u + 13 = r. Suppose b = 5*b - 24. What is the lowest common multiple of u and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 28*o**2 - 23*o - 104. Let t be x(27). Let u = -7 + 10. Suppose u*q - q - 14 = 0. Solve q*d - t*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x**2 - 5*x + 5. Let i(w) = -w - 1. Let f(d) = 5*i(d) + j(d). Find the second derivative of f(b) wrt b.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-10)*110\/33\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -b + 5*o, 0*b - 2*o = -4*b - 18. Let m be 72\/33 + (-3)\/(-33)*b. What is the biggest value in 1\/2, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17372, 17375, 17380, 17387?\n\"Answer: c**2 + 17371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(5\/(-20) - 14\/8). Let a be ((-24)\/(-48))\/((2\/r)\/1). Solve -a*z = 2*z + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*l - 2*l - 2*l)*(l + 10*l**2 + 14 - 10 - 7*l**2) as f + i*l**3 + y*l**2 + j*l and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -144080000 to the nearest 1000000.\nAnswer: -144000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926304 is divided by 1764?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6260\/(-8451)*(-9)\/12\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*((-5)\/(-2) - 3)\/(-1). Let j = 19 - c. Suppose 202 = 4*z + 50. Calculate the remainder when z is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 701520492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 12:17 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -192968, -385910, -578852, -771794?\n\"Answer: -192942*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -570*64.\nAnswer: -36480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -14*r**4\/19 - 178*r**3\/19 + 912*r**2 - 85016*r\/19 + 22880\/19 = 0.\nAnswer: -44, 2\/7, 5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 178.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 304*j**5\/5 + 360*j - 68. Find the first derivative of o(y) wrt y.\nAnswer: 1216*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997298938?\nAnswer: 2, 498649469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*x - 3198 = 0, 0 = 2*c - 7*x + 6*x - 2133. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.3, -1455, 5, -14.25, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 - -33. Suppose d + 79 = 11*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/y**14)\/y)\/(y*(y**(6\/11)\/y)\/y) assuming y is positive.\nAnswer: y**(-138\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*c - x + 33 = 111*c, -9*c = -5*x + 289 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 0*b + 0*b**4 + 0*b**2 + 0*b**5 - 14 + 0*b**6 - 16\/3*b**3 + 2\/7*b**7. What is the third derivative of f(h) wrt h?\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3815 times -2483.9?\nAnswer: 9476078.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28508\/3 or -9504?\nAnswer: -9504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 101. Let f = -77.9825 + n. Round f to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 1\/9 (c) 0 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/2)\/((-351)\/(-13)))\/((1750\/(-4275))\/35)\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r - 39. Let n be o(20). Suppose m = 30 - 9. What is the greatest common factor of m and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.183 plus -7.48157?\nAnswer: -7.66457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 454712 - 454256.9095. Let d = 455 - y. What is d rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30\/(-20))\/(2\/(-152)). Suppose 0 = -2*r + t - 16. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.9 - -0.9. Let d = 3.7 - 3.4. What is the second biggest value in d, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3898, 15786, 35596, 63328, 98982?\n\"Answer: 3961*x**2 + 5*x - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0023 and -66.\nAnswer: 0.1518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -192 and -2.62.\nAnswer: 503.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 78\/468 + (-1679)\/(-6) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10816, -21295, -31448, -41275, -50776, -59951, -68800?\n\"Answer: 163*w**2 - 10968*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, 2, 3, -148, 91 in descending order.\nAnswer: 91, 8, 4, 3, 2, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*q - 998*q + 243*q + 233*q + 259*q.\nAnswer: -23*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 16 + 1\/12*j**4 - 1\/6*j**3 - j**2 + j. What is q(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51\/17 - (1 - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.053.\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(980) - -2*sqrt(980))*1)\/(6*-5*sqrt(36)*-3))**2.\nAnswer: 49\/405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uusuvvmmvmvvvvmuvvgm. What is prob of sequence uvg?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 1) + 1 + 2 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2073 or -2078?\nAnswer: -2078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (114*4\/105)\/(80\/840 - 208\/420)?\nAnswer: -76\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + sqrt(272))**2*5*-3 - -3*(sqrt(833) - ((sqrt(833) - (sqrt(833) + 1) - sqrt(833)) + 2) - -1*-2*sqrt(833))**2.\nAnswer: -4317 + 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 9:52 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 1. Let c = 1 - 0. Let p(k) = -3*k + 6. Let h(w) = c*p(w) + 6*g(w). Give h(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -135, -138, -143, -150?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*j = 2632 + 4063. Suppose 0 = 3*y - 3*f + f - 73, -y = -3*f - 36. Calculate the remainder when j is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011504 to 5 dps.\nAnswer: 0.00115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -3\/2*d**2 + d**3 - 3*d - 4 + 3\/4*d**4. Find t such that g(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -248, 5 in descending order.\nAnswer: 5, -3, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -597 (b) -10750 (c) 0.3 (d) -1\/5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2 - 25068*t + 50124 = 0. What is t?\nAnswer: 2, 8354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 - -56. Let k = -45 + 179\/4. Which is the biggest value? (a) 4 (b) k (c) i (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2591\/17 or 153?\nAnswer: 2591\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -19*n**5\/20 + n**2\/2 - 6*n. Let v be i(-1). Suppose 0 + v = 5*x. Solve 1 = -5*w - x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 49 = -27*q. Solve q = -2*a + 4*g, -4*a + g - 9 = -2*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 44\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*q + 2*q**2 + 4*q**2 - 34*q)*(-14*q + 169*q + 14*q) to z + x*q + w*q**2 + d*q**3 and give d.\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k + k**2)*(5*k**3 + 0*k**3 - 3*k**3) + (10*k + 2*k**3 - 10*k)*(-3*k**2 - 5*k**2 + 31*k**2).\nAnswer: 48*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 2*b**2 + 4 + 0*b**3 + 6*b - 4*b**2. Let u be ((-2)\/3)\/(26\/(-195)). List the prime factors of g(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2\/19, 6627628?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 1) + 81 + -56 + -5.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*x**3 + 3*x**2 - 7*x + 3?\nAnswer: 498*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 63181.16 tonnes?\nAnswer: 63181160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 1. Suppose 41*x - 84 = 55*x. Let m(v) = v. Determine x*m(f) + 5*h(f).\nAnswer: -f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29564 and 912?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*m - 12 + 17 = 0, -4*x - 3*m + 89 = 0. Let c(y) = 2*y**3 - 41*y**2 + 19*y + 28. What is c(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34510 is divided by 55.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 15 - 9 - c + 19 - 1 + 6.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 6*p - 4*p)*(-93*p + 39539 - 39539)*(2*p**2 + p - p).\nAnswer: 186*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/4152 and -139\/288.\nAnswer: 49824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 - -48. Is -28 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 2162?\nAnswer: -2155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -1\/3 (c) 0.1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 290868307 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 155172192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/2)\/(1316\/1645).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-363)\/(-55))\/(7777\/95445)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1083405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 143.538 + 1.66627\nAnswer: 145.20427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1110101 (base 2) to base 15\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 26*g**4 + 4*g**3 - 4*g**2 - 4*g + 315. Let o(m) = 80*m**4 + 11*m**3 - 11*m**2 - 11*m + 946. Let a(u) = 11*b(u) - 4*o(u). Differentiate a(h) wrt h.\nAnswer: -136*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4*g = -g + 26, -2*g = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 0*c**2 + c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59799.36442 - 332.9.\nAnswer: -60132.26442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (sqrt(12)\/sqrt(4))**2) - ((sqrt(108)*1)**2 + 3).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/16*-1 - 1\/152*19?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/1513 or -2\/149?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 17.2?\nAnswer: 5.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51362.18 centuries in years?\nAnswer: 5136218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39? (a) -0.019 (b) 5 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167478373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiw when three letters picked without replacement from {w: 1, i: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 e, and 1 y when three letters picked without replacement from {b: 1, y: 2, h: 1, s: 1, e: 1, i: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(11\/308*-7)\/(11\/(-4))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/811034 and -3\/469546.\nAnswer: 8921374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 4031948088103.\nAnswer: -4031948088102.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -53. Suppose 0*r - r = -4*z - 30, -2*r + 51 = -5*z. Let j = 0 + r. Calculate the highest common factor of j and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 94 - 45\/2*p**2 + 3\/4*p**4 - 300*p + 6*p**3. Suppose v(q) = 0. What is q?\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/7, 28, 0.3, 0.1, 2\/9?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2724893000 to the nearest one million.\nAnswer: 2725000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from {s: 3, b: 1, d: 1, z: 6, g: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -6) + 1\/((22\/(-627))\/(272\/(-102)))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3311)\/(-245) - 13)*5.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*z + 45. Let n = 30 + -27. Let p = z - n. Solve -4*v + 9 + 3 = 2*i, -4*v = 5*i - p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**2 + 1999*c**3 - 234*c + 14 + 3222*c**3 + 263*c wrt c?\nAnswer: 31326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 2, 0.4, -3, 5, 0.79?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/3 + 290*t**4\/3 + 23834*t**3 - 290*t**2\/3 - 71500*t\/3 = 0. Calculate t.\nAnswer: -130, -1, 0, 1, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 65, 124, 181, 236, 289?\n\"Answer: -g**2 + 62*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 244857 + 54261. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Suppose r*f + 2*t - 6 = 0, -2*t - 3*t = -15. Is 21 a factor of 2*((-35)\/(-2) - f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 83 = -3*s, -2*w - 243 + 296 = -3*s. Let h = -384 - -545. What is the remainder when h is divided by w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 13 + 1 = 0. Which is the second smallest value? (a) -2 (b) -0.8 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 12, -2*g - 2*g = 5*m + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 168, 147, 116, 69, 0, -97?\n\"Answer: -p**3 + p**2 - 17*p + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6038 + 2*o + 3493 + 2538 + 4*o.\nAnswer: 6*o - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40530 and 48.\nAnswer: 324240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10*s**2. Suppose -12 = -3*h, -2*k - 62 + 56 = -3*h. Let x(z) be the second derivative of 0 - 1\/6*z**4 + 0*z**k + 0*z**2 + 13*z. What is r(x(v))?\nAnswer: 40*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 9*h**2 - 2*h + 22. Let v be f(9). Suppose v*y - 3*s = 29, -5*y + 7*s = 2*s - 40. Solve 0 = -y*p - 30 + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from xqthixqiiq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 - (16 - (27 + -36) - 86)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 381809 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4142205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99559254?\nAnswer: 2, 3, 47, 353047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25168?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least -7972376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 0 + 1\/6*j**4 + 0*j**3 - 3*j + 0*j**2. Let a(s) be the second derivative of -s**3 - 2*s. Calculate a(v(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**5 - 10472*r**4 - 13780858*r**3 - 190884988*r**2 = 0.\nAnswer: -2611, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128.1 + 128. Which is the nearest to -0.04? (a) o (b) 1\/7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32854893.\nAnswer: 3, 2557, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 0. Suppose 0 = 3*d + c*h - 7, 0*d + d + 2*h - 2 = 0. Solve 19 = -2*u + v + d*v, -2*u - 14 = -4*v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y + 1. Suppose 5*x - 2*t - 13 = 0, -2*x - 3 = 3*t - 12. Suppose 0 = h + x*h - 8. What is w(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k**3 + 4*k**3 - 3*k**3)*(85 - 85 + 191*k) + k**4 - k**4 - 3*k**4 + k**4 + k**4 - 4*k**4 in the form t*k + g*k**4 + p + l*k**2 + c*k**3 and give g.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 4 (b) 61\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 + -127. Solve -3*i - 4*f - 1 = 2, -24 = -5*i + u*f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -600101 divided by -4\nAnswer: 600101\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h*p*r**2 + 159*h*p*r - 9*h*r**2 - 3*p*r**2 wrt r?\nAnswer: 2*h*p - 18*h - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2\/5*s**2 + 10 = 0. Calculate s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13704 is divided by 13468.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/8*10\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 173 + -113. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o**2. Let d(j) = 4*j - 3*j - 4*j + 6*j. What is c(d(k))?\nAnswer: -63*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + m + 3*m - 50, m = -r + 11. What is the common denominator of r\/(-10) + 2168\/80 and -57\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -29*w + 3. Let v(y) = 28*y - 4. Let b be 1\/(-17) - (-12834)\/3162. What is b*u(g) + 3*v(g)?\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768140 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-35)\/14)\/(2\/(-4)). Suppose -3*y = -6*y - 3*o + 2357973, 3929985 = p*y - 5*o. Suppose 55994 = q + y. Round q to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -17. Suppose q = -i + 4, -z + 4*i = z - 4. Suppose -6*f + z = -f. Solve -4 = -y - f*v - 0*v, 5*y - 5*v = 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 309*(8374\/159)\/(-158)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ttttttttttdtttttdt.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78548458 and 8826.\nAnswer: 2942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + -1 + sqrt(1700) + -4.\nAnswer: -5 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 124 = 5*d, 0 = 3*d - 2*l - 3*l - 68. Is d a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1067, 2132, 3197?\nAnswer: 4262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -122?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32552229979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-71368)\/12976 + -2*4\/(-3).\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29477, 58956, 88435, 117914?\n\"Answer: 29479*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 10*w**2 + 5*w + 1. Let c(i) = -4*i + 3. Let l be c(3). Is y(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y\/((y\/(y*y**(10\/3)\/y))\/y*y)*y)\/y)*y)\/y)\/y*y)\/y**(-3\/7) assuming y is positive.\nAnswer: y**(-40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 51*c + 24. Let v be i(5). Let z = 58 + v. What are the prime factors of z?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 23. Let w = k - 7. Let o(u) = -4*u - u**2 + 0*u + 2*u**2. Calculate o(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 853 - 531. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(9)\/sqrt(3)*1).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + 519 - 2\/(3 + -1). Let f = 908 - a. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdab when four letters picked without replacement from {v: 1, j: 1, b: 6, d: 10, a: 2}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (19 - -3 - 31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4274*r**6 - 5*r**3 - 206*r**2 - 30.\nAnswer: -512880*r**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -188.07 + 188. Which is the second biggest value? (a) -3\/2 (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 22*w**2 - 200*w + 81. What is f(6)?\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 303520 and 38820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**3 - 2*x**2 + 4*x + 3. Let z(l) = -1 + 98*l**2 - l**3 - l - 98*l**2. Let y(a) = h(a) + 3*z(a). Solve y(i) = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 25*p - 13. Let b(n) = -2*n - 39. Calculate r(b(t)).\nAnswer: -50*t - 988","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8*n - 6. Let l(c) = -26*c + 20. Let m(y) = -10*d(y) - 3*l(y). Let f(g) = 6*g + 2. Let q(o) = 1. Let k(x) = -2*f(x) + 4*q(x). Calculate k(m(s)).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * 3483\nAnswer: -383.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92 - -91. What is the units digit of (6 + -3)*1\/(k\/(-55))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v**4\/3 + 119*v**3\/3 + 176*v**2\/3 - 236*v\/3 - 16 = 0. What is v?\nAnswer: -2, -2\/11, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -3*j**5\/20 + 5*j**3\/3 + 18*j. Find the second derivative of g(x) wrt x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.9 + -0.1. Let y = d + 15. Which is the third smallest value? (a) 4 (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9333 is divided by 1758.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 296263663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 82. List the prime factors of 4*1*q\/12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**3 - 2*l**2. Let y be v(-2). Let m = -14 + y. Let u be -3 - -5 - (-20)\/m. Is u <= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 3961\/2580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 251305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -513\/4 - -128. Let z = 1\/12 - m. Let y be (-30)\/44 + 2\/4. What is the closest to -2\/7 in -2, y, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwewtewwwzewwwwttt. Give prob of sequence tzw.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 5*r**2 + 3*r + 4. Let h(q) = -q + 4. Let a be h(-4). What is the remainder when j(-3) is divided by 20\/a*(2 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t - 225 - 41 - 119 = 0 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6924, 27743, 62444, 111027, 173492, 249839?\n\"Answer: 6941*b**2 - 4*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, n: 4, p: 1}. What is prob of picking 1 p and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -9252887 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 21210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -137*g**3 + 2*g**2 - 2*g - 1. Let a(u) = 4*u - 1. Let d be a(0). What is the units digit of c(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/(-252))\/((-6)\/8)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.097618 rounded to 3 decimal places?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 90.4 + 2371\nAnswer: 2461.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 9*k = -6. Let z(b) be the second derivative of 0*b**3 + 1\/70*b**5 + 0 + 1\/42*b**4 + 0*b**2 - 1\/147*b**7 - 1\/105*b**k + b. Factor z(x).\nAnswer: -2*x**2*(x - 1)*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001704 to seven dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*n**2 + 24 - 24 - 109*n**4 - 113*n**2 wrt n?\nAnswer: -2616*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -43 (b) -1\/3 (c) 9432 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727 + 739 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/18 + 824\/18 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*f**3 + 6 - 6 + 2 + (-1 + 1 - f)*(0*f + 0*f - f**2).\nAnswer: 8*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(352)*1*3)\/(sqrt(55)\/sqrt(45) - (sqrt(11) - ((sqrt(1584) - sqrt(1584)*2 - sqrt(1584)) + sqrt(1584)))).\nAnswer: 72*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 27, -1 in descending order.\nAnswer: 27, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 11*o - 17. Let w(n) = -41*n + 67. Let t(d) = 9*l(d) + 2*w(d). Let q be t(2). Solve -4*i = -7*i + q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozz when three letters picked without replacement from yozyyyyozoyy.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.4, -2, -8350570?\nAnswer: -8350570","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 5\/6*b**4 + 5\/3*b**6 - 11*b + 0*b**2 + 0*b**3 - 5\/14*b**7 + 0 - 9\/4*b**5. Suppose z(s) = 0. Calculate s.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 23*u**2 - 9*u - 9. Let f(d) = 11*d**2 - 4*d - 4. Give 9*f(x) - 4*w(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/2 - 256917*m\/2 - 4365855.\nAnswer: -3*(m + 34)*(m + 85605)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f = 0. Let q be f\/((5 + -1)\/(-2)). Let k be (-2)\/33 - 6060\/(-1980). Solve -3*n - k - 3 = q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*c - 98*c - 8*c - 12*c + 4*c)*(-3 + 1 + 0) in the form q*c + t and give q.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, t: 3, v: 3}. Give prob of picking 1 v and 1 t.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 37, 10121.\nAnswer: -2, 37, 10121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5852, -6827, -9544, -14897, -23780, -37087, -55712?\nAnswer: -80549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521344776.\nAnswer: 2, 3, 21722699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10538 divided by -10538?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - -4*(sqrt(1539) + -4))**2.\nAnswer: -1440*sqrt(19) + 38731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38a4a (base 14) in base 5?\nAnswer: 13423401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 19*h + 132. Let v = -21 - h. What is the highest common factor of v and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 19*a**2 - 2*a - 2. Let f be b(-16). What is the greatest common divisor of 21 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*z + 11*z + 11400 = 241*z for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3*h - 2 - 1)*(102*h**2 + 2139*h - 2139*h) as i*h**2 + p*h**3 + x + q*h and give p.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 9*u + 117 + 20 + 20 + 8 = 0, 3*a = -u - 30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4431 (base 5) in base 11?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1992088 and 103\/182?\nAnswer: 25897144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 9*g**2 + 17*g + 9. Let j be y(-11). What is the greatest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -439*a + 123885171 - 123885171.\nAnswer: -439*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/2 and 19\/251.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**5\/360 - 2177*w**4\/72 + 4739329*w**3\/36 - 2214*w**2 + w. Factor h(c).\nAnswer: (c - 2177)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417726072 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 4*h + 24, 2*w = -5*h + 16 + 5. Suppose -w*o + 1700000 = -2*o. What is o rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9)*s**(-3\/8))\/(s**(-5)*s**(2\/9))*s\/((s\/(s\/(s\/s**4)))\/s)*s**(5\/2)*(s\/s**(1\/5))**(-2\/177) assuming s is positive.\nAnswer: s**(61463\/21240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38652991?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*a = 150185, 3*t + 5*a = 30787 + 59328. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = m. Put 10, -4, m in descending order.\nAnswer: 10, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**3 + 1080*h**2 - 12528*h - 9446112 = 0?\nAnswer: -78, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 485*q**2 + 12000*q - 11520.\nAnswer: 5*(q - 48)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115*z**2 + 36.\nAnswer: -230*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*r - 20*r - 49. Calculate the remainder when 85 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 5*m**2 + m - 5. Let n(d) = 0 - 2 + 3 + d**2 + 3 - 5. What is 10*n(b) - 2*q(b)?\nAnswer: 2*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 - 0.46. Let c = -2584 - -2585. What is the biggest value in 3\/2, c, j?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + (-1 + sqrt(1088))*1 + 1 - (3 + -1*(sqrt(1088) + 2)).\nAnswer: -1 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5247 and 795.\nAnswer: 26235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 15*n - 12. Suppose 4*v - 5*v + n*k + 63 = 0, 3*v - 133 = -5*k. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 0 + (5 - 7) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 3*u**2 + 3*u + 4. Determine n(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + 0)**2 + -3)*5.\nAnswer: 6485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 88 = -20*r - a, 7535*r - 7531*r + 2*a = 104 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 3*q**2 - 2*q**4)*((1 - 2 - 1)*(-1 + 5 - 2) + 5 + 1 - 4 + 4 + 5 - 1).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/7)\/((-42)\/98). What is the nearest to 5 in v, 1, 0, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b43736 + 38?\nAnswer: 1b43772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3911919*q**4 + 2*q**3 + 34031502 wrt q.\nAnswer: -15647676*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -4. Solve r - 6 = h, 4*r = -5*h + 3 + m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540826 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 2*k + 1. Suppose x - 3 = 2*x. Let b be t(x). Let i = -8 - b. Let r(v) = -v**2 - 5*v + 6. What is r(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5\/15 + 658*b**4\/15 - 52306*b**3\/15 - 217858*b**2\/15 - 54964*b\/5 = 0 for b.\nAnswer: -3, -1, 0, 151, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 + 20)\/((-7)\/((-63)\/(-6))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 greater than or equal to -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a + 6. Suppose -11*q - 39 - 5 = 0. Let v(z) = -7*z - 5. What is q*i(k) - 5*v(k)?\nAnswer: 7*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 969114828?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5466\/(-40995))\/(4\/(-150)*3))\/((-20)\/(-852))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -61?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5466, -43433, -146442, -347013, -677666, -1170921, -1859298, -2775317?\n\"Answer: -5420*w**3 - w**2 - 24*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-174)\/(-34) + (-94)\/799)\/(10\/8). Solve -h*x + 2 + 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -503 in descending order.\nAnswer: 2, -3, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -16104.0137786016?\nAnswer: -16104.4137786016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = -6*c - 55. Let p be (-10)\/c + 638\/28. Solve 6*m**4 - 21\/2*m + 3\/2 + p*m**2 - 39\/2*m**3 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/(-9) + -2)*6. Suppose 5*s - 160 = -2*z, -i*z + 18 - 4 = s. What is the greatest common factor of 272 and s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q = 0. Suppose 2*n + 4 = 3*x - 4, q = 4*x + n - 29. Let a(m) = -m**2 - 7*m - 1. Let v be a(-7). Put v, 2, x in decreasing order.\nAnswer: x, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 19622*d + 9813*d + 9809*d.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/28)\/((-25)\/900).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*((-5*(sqrt(425) + 0) - sqrt(425)) + -2) + 0 + sqrt(425) + sqrt(425) + 1 + sqrt(425) + -5*(sqrt(425) - (sqrt(425) - (-1 + sqrt(425)))))**2.\nAnswer: -320*sqrt(17) + 27218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttty when four letters picked without replacement from {u: 1, t: 6, y: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 821005 - 491664. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -34. Let q = 2 + 12. Find the second derivative of x*p**3 - 109 + 109 + q*p wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n + 1. Let s be 2 + -3 + 6 - 1. Suppose -s*p + 3 = -3*p. Suppose 2*q + 1 = p*q. Give u(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b - 8*b**2 + 3*b**2 - 9*b.\nAnswer: -5*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 451 from -0.07.\nAnswer: -451.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*k, -l - 1552*k + 1556*k + 26739 = 0. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 306142?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*0.03.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**3 - y**2 + y + 1. Suppose -20 = -3*m - 5. Let c be 2 + -7 + (-1 - 0). Let l = c + m. Give h(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -91 - 95. Let p = i + 78. Let z = 47 - p. Solve 0 = -b - 3*b + 5*h - 10, z = -b + h - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1742)\/156 - -11 - 1*244\/(-24).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccz when three letters picked without replacement from {l: 3, z: 4, c: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = 18*h + 996. Let m = -60 - h. Calculate the highest common divisor of m and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b + 12. Let i(y) = -17*y**2 - 514471*y + 514471*y. Calculate h(i(j)).\nAnswer: -34*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 0*p**2 + 129\/7*p**4 + 0*p + 3\/7*p**5 + 0 - 132\/7*p**3 = 0.\nAnswer: -44, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3070656?\nAnswer: 2, 3, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/18491451 and 11\/4.\nAnswer: 73965804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1980.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42152*1.\nAnswer: -42152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(4784\/26)\/8.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 - 4*m**3 + 5*m**3 + 7*m - 3*m**3 - 7*m + 3*m + m**3 - 3*m + (2 + m - 2)*(1 - 1 + 2*m**2) - m + m - 2*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 263\/22 less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/2 + (-26 - -30))\/((-2)\/28).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 9*l - 54. Suppose -2*r + l - 4 = 0. Suppose -2592*u + 2587*u = 0. Solve -4*f + 3*y = -r, u*f - 4*y = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3862\/3696 - (-196)\/(-1078) and -58\/189?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let m be ((-30)\/(-9) - 2)*6. Let b = 6 - m. Let s be l(b). Which is bigger: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y - 47. Let r(s) = 16*s + 94. Let z(i) = 5*f(i) + 3*r(i). Give z(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.1 times 0.050554\nAnswer: 0.9150274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1043 and -2961 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3 - 2 + 6 - 3 + (2 + 2 - 2)*(-2 - 3 + 6) + 1 + 2 - 4 + 0 + 4 - 2 + 2 - 1 + 1)*(-2*o**5 + 0*o**5 - 6*o**5).\nAnswer: -40*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-2 - -16 - 1). Let d = z - 8. Let g be d + (-3 - (0 - 1)). Sort -3, g, 2 in ascending order.\nAnswer: -3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5\/4, 2\/3, 6\/7 in decreasing order.\nAnswer: 5\/4, 6\/7, 2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8\/23 + 10\/161. What is the nearest to i in -1\/5, 2, 1\/20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 719 + -361. Suppose 0 = -4*y - 31 - 97. What is the units digit of (-8)\/y + b\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 683?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 809594\/(-614026) + 9\/7.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37510000 rounded to the nearest one million?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1153 divided by 3.\nAnswer: -1153\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(156)*2 - sqrt(156))*3)\/(sqrt(972) + sqrt(972)*1*2 - sqrt(972)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -3*c**5\/20 - 641*c**4\/36 - 386*c**3\/9 - 70*c**2\/3 + 243*c. Determine s, given that q(s) = 0.\nAnswer: -70, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -80*z**3 + 138600*z**2 + 485835*z + 425320 = 0.\nAnswer: -7\/4, 1736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/1415 and -1642 + 1647 + (-1)\/((-2547)\/(-12703)).\nAnswer: 12735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 432*x - 427*x + 74 = 0, -4*p + 4*x - 56 = 0 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.3632219 to 1 decimal place.\nAnswer: -34.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 1. Let z(k) = 4*k**2 - 8*k**2 - k**3 - 2*k + 11*k**2 + 16. Calculate the lowest common multiple of h and z(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6630 and 0.4.\nAnswer: -2652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7*y. Suppose -9 - 273 = 6*p. Let f = 49 + p. Let i(k) = -10*k**2 + 9*k**2 + 2*k**2 + k**f. Calculate q(i(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 56611*a**2 + 132*a + 2. Is b(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**5\/4 + 5*z**4\/6 + 5*z**3\/6 - 5*z**2 + 369*z. Determine o, given that f(o) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -55145 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -169?\nAnswer: 16.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*c - 6. Suppose -3*m + 77 = -4*j, -m + 6*m - c*j - 131 = 0. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 116 = -4*k, -4*q - 10 = k + 7. Let f be (-6838)\/(-6) + 22\/k. Suppose -2*t = -155 - f. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4010 - 132202?\nAnswer: -125162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/2 + 57*b**4 + 243*b**3\/2 - 632*b**2 - 714*b + 2088 = 0 for b.\nAnswer: -3, 2, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3\/17 - 24*b**2\/17 - 70*b\/17 = 0?\nAnswer: -7, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8*x + 171. Let z(n) = -n + 26. What is -v(y) + 4*z(y)?\nAnswer: 4*y - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*w + 58, 3*w + 12 = 6. Let q be (-21)\/y + 6\/24. Sort -7, 1, q in increasing order.\nAnswer: -7, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*g = -28, -2*k + 2*g + 28 = 3*k. Let i(t) = -k + 42*t**3 - t + 2*t**2 + 7 - 1. Is 5 a factor of i(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/300*-20*2. Let i = -4 - -2. What is the smallest value in 2, -0.5, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/2*(-5 + (-115)\/(-3)). What is the second derivative of n*s + 42*s**2 - 328*s + 163*s wrt s?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244768*c - 244768*c + 20*c**3 - 4*c**3.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406 = 5*p + w, -3*w = -2*p - 5*w + 156. Suppose i = 4*k - 430, 5*i + 288 = 2*k + p. Suppose m + 4*m = 60. What is the greatest common factor of k and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 - 27 - 3131*f + 3096*f)*(-1 + f**2 + 1) as n + g*f**2 + c*f**3 + b*f and give c.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3, 4, 0, -0.76?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 17*d. Let l = -67 + 85. Let o be z(l). Solve -4*u + 2 = o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from qooqqoqxooxo?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 299014780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 101001101101001 (base 2) in base 7?\nAnswer: 116153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 5:19 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2114 + 2*a**3 - 22578*a**2 - 22521*a**2 + 45099*a**2.\nAnswer: 2*a**3 + 2114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = j + 3. Let i = j + 0. Let c be (i - 1)*3\/(-2). Solve 6*v = c*v + 3*k - 9, 3 = 5*v + k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(4))\/sqrt(2) + 2 + 3.\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 248123.4 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * -0.03.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 4:51 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 3. Let m be g(3). Let u(r) = -1. Let a(h) = h - 8. Let k(f) = m*u(f) - a(f). Give k(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7, 0.01, 1, -1\/130, 0.08?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-14)\/63) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 451036 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 3. Let m be o(0). Suppose a - 2360 = m*a. Is -1*4*a\/16 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*1*3*-7*(-15)\/(-1575)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -14*s**2 - 4*s - 8. Let d(i) = 16*i**2 + 5*i + 10. Let u(f) = -4*d(f) - 5*l(f). Let m(w) = -25*w**2. Give u(m(g)).\nAnswer: 3750*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - v**3 - 9 + 21.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1097441 to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6*w + 18 = 0. Let z(n) = -w - 18*n + 10*n + 7*n. Let d be z(-12). Solve 2*y - 10 = -3*i, -d*y + 8*y - 25 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s + 2. Let c(v) = -85*v - 35. Let g(b) = 2*c(b) + 35*f(b). What is g(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13521 - 3769. What are the prime factors of q?\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 10*t + 4. Solve 0*x - 3*j - 10 = t*x, 2*x = -j - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2539474*a**2*l + 2*a*l + 306303399*l wrt a.\nAnswer: -5078948*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*u = -202*u + 268760371. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*s**3 - 38*s**3 - 2*s**3.\nAnswer: -208*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(891))**2*2.\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - p - 133, -64 = 1370*o - 1372*o - 2*p. What is the highest common divisor of 1760 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 0*a**5 + 1\/35*a**7 + 0 + 0*a + 0*a**6 + 0*a**3 + 4*a**2 - 1\/6*a**4. What is the second derivative of s(d) wrt d?\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -3*u**2\/2 - 1. Let w be (-5)\/1*(-2)\/5. Let t(f) = -f**2 + 5*f**2 - 3*f**w. What is c(t(n))?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -11 + 60 - (-299 - -491)?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*h + 48, -5*h - 3 = 7. What is the greatest common factor of 70 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -53 + 72 + 162*y + 122. What is the units digit of z(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b - 1 - 1 - 5*b**2 + 0 + 0*b**2 - 10*b**2 to the form z*b**2 + y + o*b and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-6\/5)))\/(w*w*w**14) assuming w is positive.\nAnswer: w**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -1, -34, 1, 0.5, -8\/43?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 12:02 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + (1 + sqrt(108) + -1 + sqrt(108))*1 + -5 + 3 + -1*(sqrt(108) - (sqrt(108) - (sqrt(108) + 1*sqrt(108) + sqrt(108)))) + sqrt(108)))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -310 - -307. Which is the nearest to -0.22? (a) z (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/7 - (-7)\/(-49). Let n be (i\/(-5))\/(4\/118). Let l = -12 - n. What is the second biggest value in l, 3\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 + -58. Calculate the remainder when 54 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 28*f**2 - 6*f + 6. Let m be j(4). Let q be 8222\/(-6) + 1\/3. Let p = m + q. What is p rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/(6 - 0))\/(-1). Let k(b) = 10 - b**2 + 5*b - 3 + 0*b. Give k(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42153 is divided by 1279.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - 2b8a?\nAnswer: -2b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 144212+1.61738\nAnswer: 144213.61738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-10) - (-14)\/(-10). Suppose -5*b + 2*f = -29, 0 = 5*b - 5*f - 35. Suppose -2*x = 4*g + 2, 2*x + 3*g = b*x + 21. Sort x, 2, z.\nAnswer: x, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -934.13487 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x - 2. Suppose 0*u - u + x = 0. Suppose 0 = 2*q - q + 3*z - 15, -u*z = -q + 10. What is the remainder when 34 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1958323337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssddssddsss. Give prob of sequence sssd.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 229600624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-22)\/(c**(-17)*c) assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232, -244, -264, -298, -352, -432, -544, -694?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -268, -284, -300, -316, -332?\n\"Answer: -16*t - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**2 + 672*y + 3888 = 0?\nAnswer: -162, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**5\/3 + 209448*w**4 + 8167930*w**3\/3 - 64087996*w**2\/3 + 46076552*w - 95504336\/3 = 0.\nAnswer: -314159, -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and -27711.\nAnswer: 387954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttftqffqvfu. Give prob of picking 1 t and 1 f.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*m + 437*m + 6515 + 6989 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -326 + 303. Let f = u - -34. What is the highest common factor of 99 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1. Let u(p) = -p. Let v(d) = -u(d) + 4*x(d). Determine v(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52636?\nAnswer: 2, 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (28 - 2) - (0 - -13).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 3 - 6 + (5 - 5 + 13)*(-3 + 4 + 0))*(t**3 - t + t).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -183.91 - -185. Let w = v + -0.09. Suppose -p - 3*p = -5*y + 19, 2*p - 8 = 0. Which is greater: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0*v**4 - 9*v**2 + 0*v + 2\/15*v**5 + 0 - 4\/3*v**3. What is the derivative of j(m) wrt m?\nAnswer: 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -3211?\nAnswer: -3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -156712.\nAnswer: 31342.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/(-12))\/((-26076)\/4347 + 6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/8))\/g*g*g**(-4)\/g*(g**(-2\/5)*g)\/(g\/g**(4\/7)) assuming g is positive.\nAnswer: g**(-1107\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-4*(-6)\/(-8)*27\/(-81)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475216476.\nAnswer: 2, 3, 7, 269, 21031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4947 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Let n = 0.28 - -4.72. Which is the closest to -0.02? (a) n (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**3 - u**2 + 5. Let r = 47 + -42. Let g(y) = -2*y**2 - 3*y**3 + y**3 - 6 + 4 + 3*y**2. Give r*g(z) + 2*w(z).\nAnswer: -2*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 5*g + 3. Let d be s(-5). Suppose 0 = -d*k + 39 + 6. What is the remainder when 43 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 2*x - 29, -743*x - 42 = 4*t - 740*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2690 = -12*k + 1402. Suppose -j = -3*o + 253, 5*j + k = -4*o + 8*o. Calculate the highest common divisor of o and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 562*y**2 - 134 + 132*y + 552*y**2 - 1112*y**2.\nAnswer: 2*(y - 1)*(y + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2 + -2)*784\/(-168). Suppose -z - 3*o = -2*o + 2, o = -3*z + 2. Let i be 84\/36 + z\/(-6). Solve -i*x = -g*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 518 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: Let t(v) = 126*v**2 - 31*v - 11. Let b(h) = -25*h**2 + 6*h + 2. Give 11*b(z) + 2*t(z).\nAnswer: -23*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 w when three letters picked without replacement from gwwwhsttsst?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195690 is divided by 32484.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(637)*3 + 1 - -3*(sqrt(637) + 3*sqrt(637))))**2.\nAnswer: 7560*sqrt(13) + 5159736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, v: 4, s: 8, y: 2}. Give prob of sequence yxs.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/5 + 3482*k\/5 = 0.\nAnswer: 0, 3482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/(-8) - (-4)\/8. Let u(h) = h + 10. Let i be u(-10). Let j be 4 - 1 - i\/19. Solve 0 = p - j + d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 638 and 20763304.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/56 and -95\/292.\nAnswer: 4088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45711040 and -0.1.\nAnswer: 4571104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 0*l + 2*l)*(-892 - 1039 + 236 - 602 + 587) in the form r + w*l and give w.\nAnswer: -3420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284183331.\nAnswer: 3, 23, 4118599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 4:55 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 + 74. What is the first derivative of 3*y**3 + 25 - 9 + v*y**3 + 5 wrt y?\nAnswer: 57*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -15*o - 4. Let h(v) = 238*v + 63. Let p(r) = -4*h(r) - 63*i(r). Let d(t) = -55*t. Calculate 4*d(f) - 33*p(f).\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362*x = 361*x - 3*f + 15, -3*x - 5*f = -33. What is the remainder when x is divided by 72\/(-45)*5\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -235.6974457 to 1 decimal place.\nAnswer: -235.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7 + 4 - 2 + 1 + a. Let f(c) be the first derivative of c**2\/2 - 5*c + 4. Suppose -6 = n - 2*v + 4, -2*v - 2 = 5*n. Give n*f(o) + 3*t(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 38 + 208 = 0. Let o = 11946 + -11912. What is the greatest common factor of s and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259092 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - 5*n**2 - 2*n**2)*(3 - n**2 - 3) + 4*n + n**4 - 4*n.\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*f - 29*f - 5 - 27*f + 3.\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**2*n**2*r**2 + 4*d**2*n**2*r - 2*d**2*n**2 + 109*d**2*n*r**2 - 15*d*n*r - 2*n**2 wrt r.\nAnswer: -2*d**2*n**2 + 218*d**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747*b = 14979 - 3027 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -32.6 (b) -2\/3 (c) -2\/17 (d) 1\/13 (e) 0.5 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 + 91. Which is the closest to -0.2? (a) u (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-175))\/(-1*(-4)\/(-10)). Is h smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) -0.1 (c) 28 (d) -1\/5 (e) 111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -48079 (b) -0.3 (c) -241\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/55692 and 119\/1404.\nAnswer: 167076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0, -5, 0.2, -2\/5 in ascending order.\nAnswer: -5, -0.5, -2\/5, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*g, -3*g = -2*v - 6*g - 35. Let s be -1 - 8*2\/v. Which is the smallest value? (a) 0.3 (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1655410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 5:35 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 1:34 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-416)\/(-234) + 4\/18. What is the remainder when 6\/r*(-15)\/(-9) + 21 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 - 8*y**2 - 10*y + 80. Calculate the remainder when a(8) is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*q**3 - 7*q - 11*q**3 + 8*q.\nAnswer: 83*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -50\/4771 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 123, 109, 109, 129, 175, 253, 369?\n\"Answer: f**3 + f**2 - 24*f + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 625, 0.\nAnswer: -4, 0, 625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 48.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + 2.8. Let c = 0.1 - h. Let s = c + 1.9. Sort 2\/5, s, 0.5 in increasing order.\nAnswer: s, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 206\/245 + (18 - (-1424)\/(-80)). Which is the closest to s? (a) -1\/3 (b) 0.3 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121 - -123. Calculate the smallest common multiple of 109 and w.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 27. Suppose q*c = 34 - 24. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 16124786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.64 + -23. Let s = j + 0.06. What is the third biggest value in -1, s, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-3*4 - sqrt(136))\/((sqrt(88) - (sqrt(88) - sqrt(88)*3 - sqrt(88)))\/sqrt(11)) + -2)*1.\nAnswer: -13*sqrt(17)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 4*p**2 - 5*p. Let r be h(-5). Suppose 2*y - 3*w = -3 - r, -4*y - 3*w = -21. Solve y = -4*l + l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4424150 + 6524146. Let h be u\/3 - (-80)\/60. Round h to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ssuossusss.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -40, 3, 37, -10 in decreasing order.\nAnswer: 37, 5, 3, -10, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135657121.\nAnswer: 1297, 104593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h + 2. Let k(d) = -4*d - 3*d - 3 - 2. Let u(s) = 2*k(s) + 5*l(s). Let r(y) be the third derivative of y**4\/8 - 28*y**2. Calculate u(r(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 79431.9 centuries in months?\nAnswer: 95318280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 39 = -k, -5*z - 4*k + 59 = 256. Let b = z - -88. List the prime factors of b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 743986548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Simplify -1*(-2*(3 + (sqrt(704)*2)**2) + 5 + 3) + -1.\nAnswer: 5629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 403*h + 3 - 404*h - 3. Suppose -2*r + i = 4 + 8, 0 = -2*r + 4*i - 18. Determine w(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - d - 1. Let r(p) = 3*p**2 - 8*p - 14. Let t(o) = -6*g(o) + 2*r(o). List the prime factors of t(-7).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + s - 1. Let j(w) = -17*w**2 + 18*w**2 - 6 + 2*w**2 + 6*w + w**2. Calculate -4*j(p) + 24*q(p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*y + 80, -4*d = -5*y + 6*y - 252. Suppose -111 = -3*r - 4*a - 15, -a = 2*r - d. What is the remainder when r is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -158 and -26165.\nAnswer: 4134070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 93, 149, 249, 399, 605, 873?\n\"Answer: u**3 + 16*u**2 + u + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-34))\/(0 + 18\/99). Is -2 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*t + 12899 - 11315 = 0 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 3.62.\nAnswer: 9.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155478 divided by 1.\nAnswer: -155478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 4:13 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1890 divide 80383590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(-3 + 0 - -2). Suppose t*k + k = 5. Let z be 0 - (1 + -6 - -1). Solve 4*c + 37 = k*w, -3*w = 6*c - z*c - 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 4*r**2 + 4*r - 4. Let p(x) = -x**3 + 5*x**2 + 5*x - 5. Let h = 5 + -3. Let i be (6 - 5)\/(h\/10). What is i*l(w) - 4*p(w)?\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 13. Suppose 4*j - 5*b - 162 = 0, -4*j = -3*j + w*b - 49. What are the prime factors of j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11, -25, -43, -65, -91, -121, -155?\n\"Answer: -2*z**2 - 8*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or -7.408?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52757019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1832, -1766, -1716, -1688, -1688, -1722?\n\"Answer: -h**3 - 2*h**2 + 79*h - 1908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/9 - 19\/9. Let u be ((-4)\/3)\/((-6)\/27). What is the common denominator of 1869\/(-14)*1\/u and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8849 is divided by 1767.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33762, -135004, -303726, -539928, -843610, -1214772?\n\"Answer: -33740*m**2 - 22*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 877 divided by -46013?\nAnswer: -877\/46013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/8619726 and -133\/17964.\nAnswer: 51718356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 - 81. What is the smallest value in p, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(3 + 21\/(-9)). Suppose 4*r = v*m + 1245, m - 151 - 162 = -r. Calculate the common denominator of -7\/8 and 4\/26 - 1322\/r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1485 and -0.1.\nAnswer: -148.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 142592869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/6 and (-5518)\/(-1364) - 1*(0 - -1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 7*z**2 - 6*z + 17. Let d be u(-8). Suppose -5*a = -9 - d. Suppose -a*j = -23 + 15. Solve j*w + 21 - 1 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82480 rounded to the nearest 1000?\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**4 + 304*d**3 + 4396*d**2 + 3504*d - 8208 = 0. What is d?\nAnswer: -57, -18, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-66)\/(-352)*(-9 - -25). Determine g, given that -5\/4*g + 1\/2 + 1\/4*g**5 + 1\/2*g**2 - g**4 + g**c = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -110*c + 105343 - 42533. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6b2a + -ae0?\nAnswer: -771a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*d - 54, 87 = 2*x + d + 2*d. Suppose 0 = 2*i + i + x. Let n = i - -62. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 6\/7*q**2 - 3840\/7 - 738\/7*q = 0.\nAnswer: -5, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -19*k + 15*k - 28, -4*k = 4*x - 32. Let f = 1 - -2. Let q = f - -2. Solve x = -4*j + a - 5*a, 5*j - 35 = q*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a factor of 5232175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(-1 + 1 - 2*d) + 3 - d + 1 + 1.\nAnswer: -3*d + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3875 - 4061 = 31*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q + 64. Let j be v(-7). Solve 97 - j = 41*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 1. Let b be j(-3). Find the third derivative of 3 + 10*o**4 + 1 - b + 21*o**2 wrt o.\nAnswer: 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1152086 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from mnn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/880 and ((-117)\/20)\/(-2*12\/48).\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6165\/(-180) - -38)*(-12)\/(-5). Sort 0.4, 28.6, o, -0.5 in decreasing order.\nAnswer: 28.6, o, 0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/128 and 63\/10?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42608 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250996608?\nAnswer: 2, 3, 23, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 (base 15) in base 4?\nAnswer: -1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/5 (b) -31 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 288 + -286. Solve 0 = -r - 3, w*n + 7 = -0*r - 5*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383210438 a multiple of 1306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6419 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5259 and 18072.\nAnswer: 31680216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 280?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + -59.15. What is the second smallest value in -2, b, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*r + 218*r - 197*r + 11470 = 0 for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**6\/10 - 3*p**5\/20 - p**4\/4 + p**3\/2 - 3*p + 2. Let o(b) be the first derivative of d(b). Let o(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 21 + 2972*c + 10 + 4264*c in the form b*c + u and give b.\nAnswer: 7236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s + 2*s + (-3 + 0 + 2)*(19 - 8*s - 19))*(1 + 2 - 2)*(0*s - 2*s + 0*s).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2426602\/243 - 9986. Let x = -37 + 36. Is d != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 617873*a + 2471496. What is x(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100126 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -8. Let i = 3040 - 3046. Sort i, -0.3, n in decreasing order.\nAnswer: -0.3, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/3 (b) 68 (c) -0.4 (d) 2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 3:50 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2317535 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -59 + 27*i**2 + 114 - 21*i - 61.\nAnswer: 3*(i - 1)*(9*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 27\/7*q**4 + 117\/7*q**3 - 75\/7*q**2 - 3\/7*q**5 - 54*q - 216\/7 = 0.\nAnswer: -3, -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**2 + 8*j + 17. Let i be p(7). Suppose g + i = 3*y, 2*g + 277 = 3*y - 3*g. Let -y - 2*n**3 + 89 - 4*n**5 + 6*n**3 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3 + 296213*t**2 + 21934794791*t - 109681379405 = 0. Calculate t.\nAnswer: -148109, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1281105*u = -1281164*u + 2832 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5437 by -182.\nAnswer: -5437\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.3 + -28. Put -2, -0.1, s, 0 in ascending order.\nAnswer: -2, -0.1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -12*y - 8. Let w = 54 + -57. Let p be l(w). Solve n + p = -5*t, -4*n = -n + 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 7 + 13 = 0. Let u(z) be the second derivative of 3\/10*z**5 - 1\/2*z**4 - 1\/15*z**6 - n*z + 1\/3*z**3 + 0 + 0*z**2. Factor u(s).\nAnswer: -2*s*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261059 divided by 6.\nAnswer: 261059\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = 11*b + 15. Suppose b*k - 1182 = -m, 2*k + 2*m = 380 + 412. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.9 - 544338.\nAnswer: -544343.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 + (3 - 0))\/((-36)\/6 - -5). Solve -i + 13 = 17, -4*n = -f*i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2905 + 2935 - ((-14 - (-6 + 2)) + (-2 - -3))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 13124*g + 41575. What is c(-3)?\nAnswer: 2203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 540000 = -15*m. What is m rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(440\/(-70))*(-6)\/(-1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 11*s**2 + 209*s**2 + 125*s**2. Let a(v) = -2*v. What is a(n(z))?\nAnswer: -690*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f - 2. Let y be d(8). Suppose -q + r - 2 = -4, -3*q = r - y. Suppose -167 = -3*m - 122. Solve -q*l = -l + m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.6 - 12.5. Which is the second smallest value? (a) 0.3 (b) k (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228144959?\nAnswer: 7, 127, 353, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 7 - 0. Let d(c) = -c**2 + 4*c + 23. Let q be d(y). Suppose q*p + 5 = 3*p. Solve -2*n = -5*i - 15, p*i + 5 = 2*n + 2*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 57*s - 5. What is the hundreds digit of i(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 8\/9, -0.3, 1, 1813 in increasing order.\nAnswer: -0.3, -0.1, 8\/9, 1, 1813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 4*l + 1. Let h(k) = 4*k**2 - 3 + k**3 - 13*k + 13*k. Let t be h(-4). Determine w(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 714*o**5 - 8149*o**4 + 48610*o**3\/3 + 25451*o**2 + 21278*o\/3 + 240 = 0.\nAnswer: -5\/7, -1\/3, -2\/51, 9\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -2291*d**6\/120 + 5951*d**4\/24 + 1063*d**2. Find the second derivative of p(n) wrt n.\nAnswer: -13746*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {y: 1, b: 2, d: 1, g: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 2*f + 2. Let x be r(-3). Suppose -x*u + 70 = -0*u. Suppose 9*l - u*l + 750000 = 0. What is l rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, -67\/3, 0.4, -9\/10 in increasing order.\nAnswer: -67\/3, -1.5, -9\/10, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 61\/1248577?\nAnswer: 61\/1248577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -3*h + 18, -8*y = 2*h - 3*y + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**6\/40 + 3*a**4\/16 + a**3\/4 - 561*a. Suppose w(t) = 0. Calculate t.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -396*h - 87876. What is n(-222)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Sum -1725.39 and 396979.\nAnswer: 395253.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1369 divided by -1.\nAnswer: -1369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128.4 + -128. Which is the biggest value? (a) h (b) 0.1 (c) -3\/4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -454 - 6641?\nAnswer: -7315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91 or -52513\/568?\nAnswer: -52513\/568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((129600\/792)\/36)\/(62\/341*2\/4)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141 - 38. Let n = 286 - 102. Let y = n + r. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24301200302 + -20?\nAnswer: 24301200232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006769 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2698234, 5396564, 8094894?\n\"Answer: 2698330*a - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3 + g**2 + 5. Let w be p(-6). Let z = 5867\/15 + w. Suppose -2*n - 4 = 2*n. Which is the closest to n? (a) z (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125340 (base 6) in base 3?\nAnswer: 120212220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -102699.92575 rounded to the nearest one hundred?\nAnswer: -102700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6374, 12739, 19102, 25463, 31822, 38179?\nAnswer: 44534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 826 = -456. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 2*v**3 + 8 + v**4 + 1 + 3 + 5 + 2*v**2 - 20 as j*v**4 + u*v + z + p*v**2 + g*v**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -66 (base 16) to base 9\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p + 27. Calculate the remainder when 11 is divided by t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzooohonohohhhzhhm. Give prob of picking 1 h, 1 z, and 2 o.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/83, 0.2, 1\/7?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**3 + 0*f**3 - 1 - 2. Factor p(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p - 20. What is i(8)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -68*l + 6675. What is p(98)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91807095 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 394929416 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + -12 - (796 + -755)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -10 - 11*y**2 + 22*y + 16 + 3 - y**3. What is the units digit of c(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 14*k**2 + 14*k - 72. Give m(-15).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/63, -0.28, -5\/2 in ascending order.\nAnswer: -5\/2, -0.28, -2\/63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 27 + 64 - 11*n.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1357 and 3776?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428909.\nAnswer: 13, 32993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3)*-3 + -1 + 2 + ((sqrt(11)*-2 - sqrt(11)) + sqrt(11))*-3.\nAnswer: 1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 0*v + 2*v + (14 - 11 + 11)*(-v + 2*v + 0*v) + (-3 - 1 + 8)*((3 + 1 - 1)*(0*v + 0*v + 2*v) + 3 - 3 - v).\nAnswer: 33*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/2136071 and -17\/29904994.\nAnswer: 29904994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 11*x + 22. Let p be y(9). Suppose 11*l - p*l = -21. Let r be (-11 + 10)*(-1 + l). Let v(h) = -h**3 + 4*h**2 + 2*h - 3. What is v(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*-3 + -5 + -4.\nAnswer: -27*sqrt(5) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -123 + 123. Let c(w) be the third derivative of 0*w**3 + 0*w**4 - 1\/30*w**5 + 0*w + k - 3*w**2. Let s(m) = 4*m. Give s(c(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 6. Suppose 3*g - 3 = -21. Let z = -1560 - -1559. Let m(n) = n - 1. Let p(j) = g*m(j) + z*y(j). Let b(q) = -6*q**2. Calculate p(b(s)).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*l - 155*l - 1045*l**2 + 80*l as w + b*l + c*l**2 and give c.\nAnswer: -1045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (101*16\/40)\/((-1)\/(-35))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 + 1648*u - 3292*u + 1648*u. Suppose -5*m = -3*q - 38, -7*m - 39 = 4*q - 2*m. Let l(r) = 9*r**2 - 11*r. What is q*p(c) - 4*l(c)?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116 or -237?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 596.\nAnswer: -2384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 35 (b) -0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -864731275 + -5.\nAnswer: -864731280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6005 + -5997. Solve -12*q = -u*q + 5*z + 32, 11 = -5*q + z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o + 50*o - 185 = -635 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 33 = -27. Let y = -20 + 27. Calculate the remainder when r is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*n - 4, -6*n + n = 2*h + 5. Let t be ((-2)\/4)\/((-7)\/14). Put n, -5, t, 5 in ascending order.\nAnswer: -5, n, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/12*1)\/((-2)\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 2*j**2 - 2*j**2 + (2 - 4 + 1)*(2*j**3 + 0*j**3 - 3*j**3) + 6 - 7*j**3 - 6.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -206\/3377 or 0?\nAnswer: -206\/3377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-18))\/((-10)\/15). What is the nearest to q in -6, 0, 5, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d + 54. Let i be l(-13). Suppose -3*u - 4*w + 11 = 0, -5*u - 4 + 27 = i*w. Solve -u*v + 28 = 4*g, -2*v - 3*g = -7*g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r**2 - 3*r + 3. Let h(t) = -2*t**2 - t + 1. Let g = 293 - 294. Let j(z) = g*m(z) + 3*h(z). Let q(u) = 45*u**2. Give j(q(w)).\nAnswer: 2025*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t. Let v(q) = -q - 2. Let i be v(-8). Let w = -927 + 1539. Let m(j) = -612 - j + w + 4*j. What is i*s(p) + 5*m(p)?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5475 - 5474.9999995864. Round j to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (656\/(-492))\/((-4)\/(-15)). Let q(z) = -36*z - 40. Let u(t) = -396*t - 441. Let m(c) = 45*q(c) - 4*u(c). Is 19 a factor of m(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21072.276 hours to days.\nAnswer: 878.0115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + 9\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3530007 divided by -392223?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9441 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (11 - (28 + -52))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21\/2 + -149\/14. Let k = g + -1\/42. Let i be 1*(3\/4)\/1. Which is the closest to 0.1? (a) i (b) -3\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 9*n**2 + 57*n + 516. Let o be g(-9). Solve 4*w = o*m - 12, 0*m - 4*m = -5*w - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h**2 - 19*h**2 - 19*h**2 - 16*h**2 + 71*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 16. Suppose r*l - 8981192 - 5818808 = 0. Round l to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 o when three letters picked without replacement from coccocooccooooccccoc.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/74, -3, 3\/5, 6?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, l: 1, p: 3, a: 6, y: 5}. Give prob of picking 1 a and 1 p.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*q - 15, -32 + 5 = -5*i - 4*q. Differentiate -5*d**3 - 72 + 6*d**3 + i*d**3 + 2*d**3 wrt d.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 785825 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, -3, 2, -27 in ascending order.\nAnswer: -27, -11, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*h**2 - 113 wrt h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 5. Let r(c) = -30*c + 10. Calculate 6*j(t) + 3*r(t).\nAnswer: -84*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnww when four letters picked without replacement from nwnonnwnwnonwnonnnno.\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(24\/4))\/(-252*52\/(-2912))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3*y - 12 = 0, -4*j + 1232 = 5*y + 1213 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 10, 1\/3, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (566\/3)\/(6\/53127). Suppose 0 = -3*g + o - 3933621 - z, 4*o = g + 1868064. Let p = g - -768056. Round p to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 7. Which is bigger: 7 or j?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*q**5 + 2*q - 38 wrt q.\nAnswer: 1680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -68\/9 (b) 2.6 (c) -1\/6 (d) -4\/3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54838 divided by 27419.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(18) + 1)) + sqrt(2) + -1 + 2*sqrt(2).\nAnswer: -2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 463 - 274. Suppose 7*f = 5*g + 2*f - 1005, g - t = -3*f. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 46\/10 + 9\/(-15). Solve g = 3*h - 16, 5 = g + l*h - 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 0, 2\/11, 3\/106 in descending order.\nAnswer: 5, 2\/11, 3\/106, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 + 0)*(2*l - 3*l + 8 - 5) in the form a*l + t and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -3, 0, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1421*o - 2927*o = -1443*o - 126. Factor -4*z**3 + 0 - 4\/5*z**4 - 12\/5*z - 28\/5*z**o.\nAnswer: -4*z*(z + 1)**2*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * 0.4.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - m - 20, 0 = -5*g + 1025*m - 1027*m - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 22*r. Let x(m) = 4*m + 64. What is q(x(w))?\nAnswer: 88*w + 1408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 0 - (-5 - -12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -41 + a24b?\nAnswer: a20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 15*t + 2. Suppose -5*w = -69 - 46. Let b = w + -38. Let u be i(b). Solve -2*y = -6*f + 2*f + u, -13 = 4*y + f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1280 divided by 15750.\nAnswer: -128\/1575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 26*y - 7 = -25*y, -3*y - 9 = 0. Solve 22 - 10 = -3*a, -4*c = -z*a - 24 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*u**2 - 36*u - 114*u**4 - 13*u**2 + 122*u**4 to the form b*u + v*u**4 + t*u**2 + x + q*u**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/12 and 55\/1054.\nAnswer: 6324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129538 or 129541?\nAnswer: 129538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.904 in 4, -5, 0.5, 3, -2\/35?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjeeejjjjeheeeejjee. What is prob of picking 2 j and 1 e?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m - 25. Determine y(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -62850 smaller than -66344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9753 - -32020. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -188407*a**5*s - 404*a**3*s**3 + 2*a*s**3 - 28*a*s**2 + 18*a*s + 2*s**3 - 157*s**2 - 5*s wrt a?\nAnswer: -3768140*a**3*s - 2424*a*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27702244 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 895*q - 5963 = 984*q for q.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8459180 a multiple of 394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -89*h + 87. Let l(z) = 5*z - 39. Let a be l(7). Is c(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 9*s**3 + 3*s**2 + 4*s - 3. Let n be u(-3). Let p = 818 + n. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e1 - -4?\nAnswer: e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*i**4 + i**4 - 4*i**4)*((1 - 1 + 1)*(4 - 2 + 3) - 3 + 2 + 0) as s*i**3 + l + y*i**4 + z*i**2 + n*i and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 20\/16)\/(0 - -1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -31318?\nAnswer: 31322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65847444 divided by -16461861.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -35926*o - 79. Is a(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -0.2884, -0.5?\nAnswer: -0.2884","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -439 (base 16) to base 13.\nAnswer: -652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 17*p + 14 - 23.\nAnswer: 17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6924 or -6918?\nAnswer: -6924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -11, 1 in increasing order.\nAnswer: -11, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -210010210 (base 3) to base 6\nAnswer: -155203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = 37*c - 2954. Suppose 90*j = c*j + 327. Calculate the remainder when j is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*f - 2*f + 4 = 0, -h = -5*f + 2. Let r be ((-18)\/324)\/((-1)\/(-40)). Is h at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4340339248.\nAnswer: 2, 7, 59, 103, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248 by -11.\nAnswer: -248\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32.98 and 1185738188.\nAnswer: 1185738155.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26855 < 26852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 22*c**5 + 24*c**4 - 4*c**3 - 4*c**2 + 2*c + 2. Let h(a) = -a**5 + a**4 - a**2 + a + 1. Let z(x) = 2*h(x) - l(x). Let z(q) = 0. What is q?\nAnswer: -1, -1\/4, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*g + 4. Suppose h = -2*n + 2, 5*h + 4*n - 10 = -0. Solve g*a = -h*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -109 - -115. What are the prime factors of 1274\/112 + 3\/(-48)*h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*a - 18 + 234 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x**2. Let k(v) be the third derivative of 0 + 1\/12*v**5 + 0*v + 0*v**4 + 0*v**3 - 5*v**2. Give k(p(u)).\nAnswer: 180*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.21 + -0.09. Let s = 130 + -130. Which is the nearest to s? (a) 4 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = -4*d. Let p(j) = -5*j + d*j + j. Let h(l) = -13*l**2. Calculate p(h(x)).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7 + 2 = 0. Suppose -u + 1 = -4*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 541887 (c) -13.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 543025 and 7210.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from {z: 4, u: 1, s: 1, k: 3, g: 2, m: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 155470 and 777350?\nAnswer: 777350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2. Let q(r) = -299*r - 306*r + 621*r. Determine k(q(d)).\nAnswer: 1024*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 169 and 663?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1985 + -9.09296.\nAnswer: -8.89446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 142 = 2*s. Let u = s + -41. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) - (-6*((sqrt(252) - (2 + sqrt(252)) - sqrt(252)) + sqrt(252)))**2.\nAnswer: -144 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10489, 19090, 27675, 36238, 44773?\n\"Answer: -j**3 - 2*j**2 + 8614*j + 1878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (156\/(-26) + 7)\/(751854\/375926 - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((11 - 5) + -4)\/((-20)\/30))\/25.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/5)\/b**(-4\/5)*b**6*b**(1\/2))\/(b*b**(2\/7)*b**(1\/6)\/b)**(1\/21) assuming b is positive.\nAnswer: b**(3298\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -218*r + 462 wrt r?\nAnswer: -218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -40.9. Put -1\/3, -2, i in increasing order.\nAnswer: -2, -1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/3575712 and 49\/2107116.\nAnswer: 117998496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 11*t**2 + 2*t - 1. Let f = -3 + 0. What is the remainder when b(1) is divided by (0 + 1)\/(f\/(-21))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1577, 5, -31 in descending order.\nAnswer: 1577, 5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*d**3 - 99*d**3 - 182 + 2*d + 182 + (4*d**2 + 2*d**2 - 5*d**2)*(0 + 2*d + 0) as a*d + j*d**3 + y + c*d**2 and give j.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13745454?\nAnswer: 2, 3, 499, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 11*f**2 + 13*f + 16. Let v be b(-12). Let t be v - -1 - -1 - 3. Solve t = -4*u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -185*j - 1. Let w(s) = -744*s - 4. Calculate -9*i(m) + 2*w(m).\nAnswer: 177*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.349341 to two decimal places.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3244 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51110, 103666, 156208, 208736, 261250, 313750, 366236?\nAnswer: 418708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51214236*w**2 + 20 - 8*w**3 - 51214236*w**2.\nAnswer: -8*w**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/593 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 5*y**2 - 7*y + 9. Let c be i(6). Let s be (3 + c)*1 - 2. Let n = 0.7 + -1. Put s, n, -4\/3 in decreasing order.\nAnswer: s, n, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2. Let q be 3\/(0 - -3) - 2. Let h = 3 + q. Let a(y) = -2 + 0 + 2 + h*y**2. Calculate a(n(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231559.\nAnswer: 231559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 12*w + 93. Let v be k(5). Suppose -7*d + v*d = -3*m + 1753, 2*d = -3*m + 3494. What are the prime factors of d?\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/2 - 4060\/1960. What is the third biggest value in 16.3, u, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52056?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k + 11. Let o(q) = -13*q - 24*q - 127*q + 62*q. Give o(p(r)).\nAnswer: 204*r - 1122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2*v = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 + 4*t**5 - 5*t**5 + (3 - t**2 - 3)*(3*t**3 + 0*t**3 - 5*t**3) - 4*t**4 + 4*t**4 - 2*t**5 + 55*t + 2*t**5 + 66*t - 124*t.\nAnswer: t**5 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 323412 and 1176.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.578 + -0.078. Let f = 7.5 - m. Let s be 0 - (2 + -1 + 0). Sort 3\/5, s, -1\/5, f.\nAnswer: f, s, -1\/5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.6 (b) -0.13 (c) 0 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4284 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a century in decades?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 3\/19 (c) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 341\/90 - 26\/9. Find the common denominator of 1*(-12 + -2) - 31\/(-124) and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-6) + (-87)\/(-54)*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 3*o**2 + 2*o + 1. Let g(z) = z**3 + z - 3. Suppose 2*f + 2*n + 8 = 0, -3*f + 3*n = -7*f - 12. Let y be g(f). Give x(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/18*(-3)\/8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 3768?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (10\/15)\/((-6)\/9). Suppose -g*q + 170 - 38 = 0. What is the remainder when q is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0012 and -0.3.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-13 + (10 - 10) + 4)) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z**2 + 2*z)*((1 + 0 + 0)*(-3*z - 4*z + 3*z) + 6*z - 3*z - 4*z).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q - 84. Let y(k) = k**3 - 2*k - 2. Let t be y(3). Let s = q - t. Solve -2*u = 3*z + u + s, 3*z + 3 = -u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 6*q**2 - 33*q - 248. Let a be k(-7). What is the highest common factor of a and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 12*j**2 + 34*j - 244. What is g(10)?\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879 is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lln when three letters picked without replacement from nlftfllltnt.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, c: 8}. Give prob of sequence clcc.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*g + 16. Suppose t - 9 = -g. Suppose 1 + t = 2*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6343856 divided by 4\nAnswer: 1585964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v**2. Let n(t) be the third derivative of -t**5\/12 + 35*t**2. What is j(n(x))?\nAnswer: -175*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20545 divided by 17048\nAnswer: -20545\/17048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332*d - 402 + 742 = -988. Solve d*p = 3*w + 24, -w + 0*w + 5*p - 19 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 206?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 9 = 9*b. Sort -5, b, -14 in ascending order.\nAnswer: -14, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -238796 rounded to the nearest 10000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -0.1, 4\/3, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 22. Suppose 2*r - 6*r - 12 = -4*w, 0 = 3*w - s*r - 6. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 269. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g - 14. Let z be (57\/4)\/(g\/(-40)). Suppose -3*s = 3*v - 39, 3*v - s - z = -3*s. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 - 6*i - 48. Let y(j) = -2*j**2 - 4*j - 30. Suppose -18*a = 1 - 145. Let g(l) = a*y(l) - 5*w(l). Factor g(k).\nAnswer: -k*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/44945 + 4809139\/539340. Let h be 22\/(-121) - 67537\/(-44). Let t = 1543 - h. What is the common denominator of s and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 265789 = 2*n, 5*n + 106296 = 2*x + 7*n. What are the prime factors of x?\nAnswer: 5, 10631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5149 and 106774?\nAnswer: 2028706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 14418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 11:12 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*r**2 - 724*r**4 + 2155 - 787 + 544*r**4 wrt r?\nAnswer: -720*r**3 - 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(10) + sqrt(90)\/(sqrt(27)\/sqrt(3))) - sqrt(15)\/(sqrt(45)*5)) + 0.\nAnswer: 13*sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -10096.9512455 and 6.\nAnswer: -10090.9512455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 93121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4815 (base 12) to base 16\nAnswer: -1f91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddjndnjdndjjddjdddjn. What is prob of picking 2 j and 1 n?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009261807 rounded to seven dps?\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3506976 is divided by 1365?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-6 - -22) - (3 - 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -24.7, -0.2, -1\/3 in ascending order.\nAnswer: -24.7, -4, -1\/3, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10477*t - 1731*t + 802*t - 1961*t - 2206*t.\nAnswer: -15573*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -280 - -279. Which is the second biggest value? (a) -7\/5 (b) 1 (c) -0.1 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*w**3 + 71*w**3 + 66*w**3 - 7 - 190*w**3 as n*w**3 + q*w**2 + d + b*w and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3540 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 5*a + 77. Is (-2044)\/(-1) - a\/28*4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6517*p**3 - 6509*p**3 + 2897 + 2*p + 13027*p**3.\nAnswer: p**3 + 2*p + 2897","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -9*c**2 + 5*c - 5. Suppose 5*o = -4*s + 7, -5*s - 5 = 5*o - 15. Let r(z) = -4*z**2 + 3*z - 3. What is s*l(m) - 5*r(m)?\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1538 - -4134. What is the units digit of ((-112)\/32 + 5)*i\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -595972 (base 12) to base 2.\nAnswer: -101011111110000100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4 = -5*u. Let f be u + 0\/(2\/(-1)). Solve -f = 3*v - v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 216?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22720*g*l + 3*g + 1480 with respect to l.\nAnswer: -22720*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -9, 2\/13, -37, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 10*p - 5. Suppose -2*b + b - 9 = 0. Let y be m(b). Suppose 7*x - 9 = -3*s + 4*x, y*s = 3*x + 5. Sort s, -1\/2, 0.4 in descending order.\nAnswer: s, 0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1533*z - 1456*z = 770. Calculate the greatest common divisor of z and 3660.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -1, 4, -21.\nAnswer: -21, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.001 - -0.001. Let x = 12 + d. Let y = x + 21. Is -2 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/1632 (b) 0 (c) -96.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -231 + 23. Let r = 201 + w. Which is the biggest value? (a) r (b) 0.2 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3439 + -3440. Let o = -0.4 - -1.4. What is the nearest to o in z, 7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -m + 3*q, -5*m + 50 = -4*q - 322. What is the remainder when 909 is divided by m?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/16 + -3)*20\/6\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*a - 35 = -11, 0 = -2*z + 2*a - 32. Let m(b) = b**3 + 13*b**2 - 14*b - 5. Let s be m(z). What is the closest to 0 in 0.7, s, 4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 + 36*v**2 - 104*v + 1398. Calculate b(17).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from {t: 7, s: 2, d: 1, r: 4, v: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 1, -2, 3, 10 in descending order.\nAnswer: 18, 10, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 + 62*c**2 - 3*c + 83. Is w(28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -101?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from ybyypikbyk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 12?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 - 13. Suppose 0*r - d - 46 = -4*r, 4*d + p = 3*r. Let j(v) = v**2 - 13*v + 10. Calculate j(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 - (-78 + 33) - 37?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 183, 727, 1649, 2949?\n\"Answer: 189*m**2 - 23*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1839*c + 14232. Calculate p(-8).\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 7*a - 4*a - 3*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 0 - 10*s + 1\/12*s**4 + 0*s**2 + 0*s**3 + 9\/20*s**5. Calculate the remainder when 38 is divided by m(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = -111*c + 3892 + 2108. Suppose 56 = 4*g + l, -2*g = 3*g + 5*l - 55. Let d be (36\/g)\/(6\/20). Calculate the greatest common divisor of c and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 15 = -0*t. What is the smallest value in -4\/9, 2, t, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 7*v = 6*v + 19, -7 = -h - v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/3))\/w**3*w**(-2\/11)\/w**(3\/5) assuming w is positive.\nAnswer: w**(-514\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3 = -3*g - 6, g - a - 5 = 0. Suppose -3 = -g*u + 7. Suppose -102 - 78 = -u*t. Calculate the greatest common divisor of t and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f - 19. Let c(v) = v + 1. Let j(m) = 2*c(m) - d(m). Let b be j(19). Solve -11 = -5*a - b*u, 5*a - 2*u = 11 + 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498188 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 25, -4*a - 21 = -3*j + 41. Solve -5*k = 3*w - 10, 3*k + j = 2*w + 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4. Suppose -k + 3 = -0, -u + 2 = -t*k. Solve -5*p = -s + u + 3, 3*p = -3*s - 21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1547*q**3 + 1312*q**2 + 12*q + 18. Let a(s) = s**3 - s**2 + 2*s + 3. Let i(t) = -6*a(t) + n(t). Find the third derivative of i(p) wrt p.\nAnswer: -9318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 867, 1590, 2045, 2112, 1671, 602, -1215?\n\"Answer: -20*y**3 - 14*y**2 + 905*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1970262 or 1970258?\nAnswer: 1970258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1322 and 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436*h - 428*h - 432*h + 1296*h + 543*h**2.\nAnswer: 543*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 200, 129, -12, -247, -600, -1095?\nAnswer: -1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 9*z - 4*z - 247, 2*z - 4*x = 96. Suppose -2*l = -l + z. Let g = l - -137. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 874, 103 in decreasing order.\nAnswer: 874, 103, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 35 = 5*a, -5*a - 2*y + 11 = -y. Suppose 3*r + 1 = 16, -u + 18 = a*r. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 - 2*i**2 - 4*i + 2. Let j(p) = -p**2 + p - 1. Suppose 6*w + 5*w + 121 = 0. Let n be (1 + -5)*w\/22. Let m(t) = n*j(t) + k(t). Factor m(q).\nAnswer: -2*q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14510964, -29021920, -43532876, -58043832?\nAnswer: -72554788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15935459 and 449?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*1 - sqrt(104) - sqrt(104))*-1)\/(sqrt(24)\/sqrt(3)*-5) - (3 + (((1 + sqrt(13))*-2)**2 - (sqrt(117)*-4)**2)).\nAnswer: -41*sqrt(13)\/5 + 1813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 20242 divided by 6\nAnswer: 10121\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 224002 (base 6) to base 5\nAnswer: 1102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + j - 3*j)*(-2 + 2 - 2*j**2 + (2*j - 2*j - j**2)*(2 - 1 + 0) - 2*j + 2*j**2 + 2*j - 2*j**2 + 1 - 1 + j**2 + 2*j**2 - 4*j**2)*(j + 0*j + 0*j).\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1336 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -252.5 to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {i: 9, m: 7}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -254*m**2 + 4*m + 4616.\nAnswer: -508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11422 (base 7) in base 6?\nAnswer: -21404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 6 = -14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdbjjbbd. What is prob of sequence jbdj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2717, 2725, 2733?\nAnswer: 2741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 13, p: 6}. Give prob of sequence ss.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -5 (b) -993\/4 (c) -2\/11 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -1) + -63 + 52\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 2328039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 2*t**2. Suppose -4*o + 4 = 4*z, -6 = -3*z - o + 1. Let s be c(z). Let m(u) = u + 4. What is the remainder when m(s) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94473408?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -134*o + 138*o - 3*b + 78, 5*o - 4*b + 99 = 0. Let v be (-64)\/5 - (-1)\/(-5). Which is smaller: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Suppose 3*u = 11*i - 5078, -708 + 2540 = 4*i - 2*u. Is i greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2399788?\nAnswer: 2, 17, 35291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 222 + -224.432. Let b = a - -77.312. Let j = b - 75. Sort j, -0.2, 0.\nAnswer: -0.2, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 28, 66, 130, 226, 360, 538, 766?\nAnswer: 1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 16*p**2 + 21*p + 18. Let i be f(-14). Suppose -3*r + i = r. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 18 = -0*c + 3*v, 2*v + 2 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 611455 and 8180.\nAnswer: 2445820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = -2*w, 3*w - 3 = u + 4. Calculate the remainder when (3\/1)\/(2\/10) is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*m + 43 = 4, -3*l + 45 = -4*m. Calculate the greatest common factor of l and 979.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 6)*20 + -21.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 12 = 18*u. Suppose k + 7 = 5*r, 3 = r - u*k - 2. Which is smaller: r or 12\/13?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = -2*n, 4*v - 5*n - 13 = 1. Let o(h) = 20*h**3 - h**2 + 5*h - 4. Calculate the remainder when o(v) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(68) + 2*sqrt(68)) - (-5*sqrt(4896))\/sqrt(2))*5)**2.\nAnswer: 2998800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*u - 165 = 164. Suppose 5*k = -10, -4*k = 5*t + 11 - 178. What is the highest common divisor of u and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -3*m**4\/4 - m**2 + 2*m + 52. Let x(k) = 15*k**3 + 11*k - 11. Calculate 33*u(n) + 6*x(n).\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q. Let x = -8 + 24. Suppose 4*t + x = 0, 3*i - 2*t - 2 - 24 = q. Calculate the highest common divisor of 15 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -22*m**3 - 392*m**2 - 3*m + 8. Let s(k) = -8*k**3 - 131*k**2 - k + 3. Determine -3*b(t) + 8*s(t).\nAnswer: 2*t**3 + 128*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1667\/5 - 20419\/60. What is the common denominator of f and -101\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - o**2 - 152*o + 20*o.\nAnswer: 2*o**2 - 132*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1247?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3\/6 - 2*r**2\/3 - 15*r\/2 = 0 for r.\nAnswer: -5, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(3\/((-5)\/((-10)\/3)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 3\/4 (b) 22\/29 (c) -2.39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/3)\/(1\/(-18)) - -5. Let u be -8 - -8 - r\/(-2) - 5. Factor 0*h - 3\/2*h**3 - u*h**5 + 0 + 1\/2*h**2 + 3\/2*h**4.\nAnswer: -h**2*(h - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/654563 and 61\/14386.\nAnswer: 1309126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52738 = 213*y + 52525 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 r, and 2 o when four letters picked without replacement from {g: 5, v: 2, o: 2, l: 3, r: 2, y: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-117 + 117)*((-6)\/4)\/3. Suppose j = -104*z + 111*z - 63. Calculate the remainder when z is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*a + 4 - 7 + a**2 + 6 + a**2 - 5 as o*a + u + w*a**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -583, -2411, -5473, -9763, -15275, -22003?\nAnswer: -29941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3660*j + 14405 = 27807 - 207382 for j.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, s: 7, d: 1, q: 2, h: 3}. Give prob of sequence qqhs.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/437, -0.5, 1.2, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17492 + -11965. Suppose k = 9*g - 7064. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1323 = -4*x - 315. Let n be (-119)\/x + 4\/18. Which is the nearest to -2\/7? (a) -3 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = f + 4*c, -3*f = -3*c - 6 - 9. Suppose -4 = 2*d - f. What is the smallest common multiple of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1711477.\nAnswer: 61, 28057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*y**2 - 254*y**2 + 17*y**2 - 6626487612 + 6626487612.\nAnswer: -407*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w = -3*r - 108, 2*r = 68*w - 42*w - 32*w + 40 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/16 and 11\/2000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631 divided by 5?\nAnswer: 1631\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -30. Sort v, 4, -1 in descending order.\nAnswer: 4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 9 + -15 + 12 + -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzbzszsbzzssswsswsl. Give prob of picking 1 l, 1 w, and 1 z.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 874300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -24*j - 14. Let s(z) = 14*z + 8. Let h(y) = -4*d(y) - 7*s(y). Let v(n) = 75*n + 6. Calculate v(h(u)).\nAnswer: -150*u + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 - 35. Let y = 0.338642032 - 49.338650232. Let c = k + y. What is c rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 4:09 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5)**(23\/5)\/(d**(2\/25)*d**(-3\/2)))**12 assuming d is positive.\nAnswer: d**(7326\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-4)*-1*(-1)\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10*-2)\/((-147560)\/23800).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 146023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 277*n - 31694. Determine t(364).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44081 - -132287\/3. Solve -52\/3*z + 8\/3*z**5 + f*z**3 - 40\/3*z**2 + 50\/3*z**4 - 10\/3 = 0 for z.\nAnswer: -5, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**8\/480 + c**7\/630 - 7*c**6\/360 - c**5\/30 - c**4\/6 - 2*c**2. Let w(d) be the second derivative of a(d). Solve w(l) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**5\/3 - 526*z**4\/3 + 550*z**3 - 1844*z**2\/3 + 817*z\/3 - 34 = 0?\nAnswer: 1\/5, 1, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 567 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 391961\/4 - 98546. Let j = 562 + b. Find k, given that -j - 15\/4*k - 1\/4*k**3 + 9\/4*k**2 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275*k - 5826761 - 9912864 = 0. What is the ten thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, d: 6, w: 3, n: 3, c: 5, r: 1}. Give prob of picking 3 w and 1 r.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9186 + -4043. Is w a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-25))\/(2*((-748)\/(-510))\/(-22)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11703*u - 20040*u - 12694*u - 6830*u - 7783*u to the form j + w*u and give w.\nAnswer: -35644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/4*(-113)\/((-9492)\/168).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 11*y + 2. Let k be d(7). Is k less than or equal to -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 921 divide 749507298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13672668?\nAnswer: 2, 3, 673, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 337881, 337858, 337835, 337812, 337789?\nAnswer: 337766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/1 + (-5)\/(10\/6). What is the first derivative of 2227*w**3 - 6 - 2227*w**p - 6*w**4 wrt w?\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o. Let i(l) be the third derivative of 3*l**4\/4 - l**3\/3 - 4740*l**2 - 2*l. Calculate i(g(n)).\nAnswer: 108*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22938 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 0, -1\/31, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 11*y + 31. What is z(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29, -19, 5, 49, 119, 221, 361?\n\"Answer: y**3 + y**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1, -213861, -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 6*w**2 + 5*w - 7. Let v be (-27)\/(-6)*-2 + 4\/2. Let d be s(v). Calculate the highest common factor of 14 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 802089 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4235*i = -4228*i - 63 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.14 - -0.05. Let v = -944.2 + 943.2. Which is the fourth biggest value? (a) y (b) 0.3 (c) v (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {k: 3, m: 13}.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-0.1.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4578 and -0.02214715633.\nAnswer: 0.43565284367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1536 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/3*(2 + -5)\/((-18)\/(-36)). Solve o*g - 75 = -145 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - n = 101 - 378, k = 5*n + 247. Suppose 0 = -3*x + b + k, 3*x + 3*b - 264 = 6*b. What is the remainder when x is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 5*x - 1. Let u be g(9). Suppose -2*f - 854 = -924. What is the highest common factor of u and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1690*q + 18581. Give g(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 45 = -11*t. Suppose -n = -24 + t. Which is bigger: 10 or n?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 27*o**2 + 21*o - 3. Is w(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 4*u + 10, -3*u - 29462 = -d - 29456 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59, 116, 173, 230?\n\"Answer: 57*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -19, -5, -20, 0 in decreasing order.\nAnswer: 0, -5, -13, -19, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n**3 + 30*n**3 + 14*n**3 + 21*n**3 - 104*n**3 + 21*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1342055.\nAnswer: 5, 11, 13, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 - 19176*l\/5 + 19186.\nAnswer: -2*(l - 5)*(l + 9593)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g**4*g*g*g)\/g**2*g**(-2)\/(g*g**(2\/9)))**46 assuming g is positive.\nAnswer: g**(1978\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37166157 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 6090*n + 0 - 6084*n as b + y*n and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2235*v + v**2 + 2235*v + 17*v**2.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 10. Let o(y) = 8*y - 9. Let u be o(x). Let p = 35 + u. Calculate the remainder when p is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*a + 2613 - 2569. Calculate the remainder when 86 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 134*x**2 - 20*x - 1. Let q(n) = -115*n**2 + 17*n + 1. Let o(t) = -6*f(t) - 7*q(t). Let r = -3 - -4. Give o(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 23*i**2 + 43*i - 30. What is g(21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + sqrt(304))**2 + 0.\nAnswer: 32*sqrt(19) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137\/3 - 45. Let t = 0.8 - -0.2. What is the closest to -1\/4 in j, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.6627 (b) 0.2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17441 - -17442. What is the closest to -1\/3 in 885, -2, s, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209129 is divided by 9893?\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16 + 3*w + 27 - 8 + 67*w**3 + 0*w wrt w?\nAnswer: 402*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2546560 (base 10) to base 6\nAnswer: 130325344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u = -106 - 48 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5949577*x**2 - 65399833*x wrt x?\nAnswer: 11899154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*d + 23 - 89 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/22 and -35\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 41.\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5386 + 43011\/8. Find the common denominator of u and -77\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79963800 rounded to the nearest ten thousand?\nAnswer: 79960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 4. Let x(l) be the second derivative of l**5\/4 - l**4\/4 - 2*l**3\/3 - 5*l**2\/2 - 4*l. Is x(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**3 + 2*s**2 - 1. Let p be a(-1). Calculate the lowest common multiple of 172\/24 + p\/12 and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 10*f - 3. Let i be g(7). Let n = -11 + i. Let u be (-1)\/(-2) - n\/(-2). Solve -u*t - 10 = -2*m, 0 = 2*t - 5*t + 2*m - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, e: 1, v: 2, i: 2, n: 4, u: 8}. Give prob of sequence eitn.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(140)\/sqrt(4)*6)\/sqrt(5)*2)**2.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 289, 566, 843, 1120, 1397, 1674?\n\"Answer: 277*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, -34, 4, -28, 2 in ascending order.\nAnswer: -34, -28, -7, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.1, 3, -2, 2.2, 1\/7800, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*y = -82*y + 60*y + 3750 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**5 - 9616*f**4 - 192594*f**3 - 1213940*f**2 - 1888999*f + 3305148 = 0?\nAnswer: -7, 1, 9636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q - 107 + 38 + 21 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -f + 3*c, 0 = -3*f + 4*c - 0*c + 86. Suppose -w = f - 86. Let z be 1\/((12\/3)\/w). Is 17 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at most as big as 6485\/551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25328.\nAnswer: 2, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52369\/39292 - 2\/517. Find the common denominator of (-910)\/294*(1215\/30)\/(-27) and t.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 16 = -7*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khp when three letters picked without replacement from {p: 2, k: 5, s: 1, h: 1}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100 + 123. What is the remainder when t is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35812?\nAnswer: 2, 7, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -8.8. Let u = p + 13. Let k = 0.1 - 0.5. What is the third smallest value in -1, u, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**4\/4 + r**3\/3 - r**2\/2 + 36*r + 225. Let d(n) = n - 4. Let u be d(4). Is a(u) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30003 by 3.\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 12:48 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3928 - -5359. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -370 - -62481?\nAnswer: 62111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -246 by -18.\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*u + 34 = 232, -2*l - 5*u = -111. What is the units digit of 6\/l + 18579\/63?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276 a factor of 32073986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2. Let v(k) be the third derivative of -k**4\/24 - k**3\/3 - k**2. Let i(j) = 4*v(j) + 5*y(j). Is i(-6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1291750 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 2*x**2 - 8*x + 1. Let m be p(-7). Round m to the nearest ten.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(4) + sqrt(4)*3) + sqrt(7) + sqrt(700)*-1.\nAnswer: -35*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 105171286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 4*z. Let d be i(-2). Let s be (0\/(-4))\/(-3*(-5)\/(-15)). Let p be (1 - 2\/1)*-1. Solve d = -s*w + w + p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/4)\/(21\/(-406)). Let f = g + -24. Solve -4*j + 4 = 2*w, -5*j - 6*w = -2*w - f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/28 - 16428\/76664. Factor -3\/5*p**2 - 27\/5*p**4 + 0 + x*p + 12\/5*p**5 + 18\/5*p**3.\nAnswer: 3*p**2*(p - 1)**2*(4*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 1\/2 (c) -2\/5 (d) 13\/2 (e) 0.17273\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1745.45 (b) -10 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 29. Suppose -6*q = -3*q, -2*y - q - 352 = 0. Calculate the remainder when t is divided by y\/(-33)*6\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 115*o**4 - 1040*o**3 - 2370*o**2 - 1160*o + 55 = 0. Calculate o.\nAnswer: -1, 1\/23, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 3*y**2 - 2*y - 1. Let s be m(-2). What is the second derivative of 3*u - s*u**3 + 0*u**3 + 4*u**3 + 6*u**3 wrt u?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*g + 2*b + 6, 9 = 4*g + b. Let y be (-8755)\/(-102) - g\/(-6). Suppose 9*i = 7*i + y. List the prime factors of i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -1\/8*u**4 - 143748*u - 3267*u**2 + 139 - 33*u**3. Find o such that w(o) = 0.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 4, -0.3, 4\/5, 5, -21408, -7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/7 + (335040\/28140)\/(-16)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13\/(-13)*(-20 + -1). Calculate the highest common divisor of l and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 171902 + 157505. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -279 + 1081. Let t = w + -201. What are the prime factors of t?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llln when four letters picked without replacement from llnln.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**2\/7 - 24*l\/7 - 99\/7 = 0. Calculate l.\nAnswer: -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154336?\nAnswer: 2, 7, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -16*u**2 - 2*u. Let p(m) = 3*m. What is w(p(a))?\nAnswer: -144*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + 7. Let a = -16.02 + v. Do 0 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -153824?\nAnswer: 153826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10723561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7367 less than -7367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 301 * -7\nAnswer: -2107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 552166976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -1\/9, -55, -2\/903 in decreasing order.\nAnswer: 3, -2\/903, -1\/9, -1, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -8*q - 4 + 0 + 4 + 6. Let g(j) = 761 + 0*j - 4*j + j - 759. Determine -17*g(n) + 6*x(n).\nAnswer: 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3 (b) -4 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6270 or 6266?\nAnswer: 6266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b. Let n(f) = 4*f - 3. Let o(d) = -7*d + 5. Let u(c) = 5*n(c) + 3*o(c). Determine z(u(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + j**4 + j**4)*(423163 + 0*j - 2*j - 439227).\nAnswer: -2*j**5 - 16064*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 558409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (2 + -70)*(0 + 5 - 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**4 + r**3 + 2*r**2 + 3*r + 3. Let z(c) = -12*c**4 + 4*c**3 + 5*c**2 + 8*c + 8. Let h(f) = 8*o(f) - 3*z(f). Solve h(l) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**3 + t - 1. Let d be a(1). Solve 21 = -5*h + 2*f, d*f = 2*h + 2*h + 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1180\/279 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 387016 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -21 - k - 7*k - 27*k + 4. Let m be y(-7). Let w = 5017\/22 - m. Calculate the common denominator of w and -107\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13519 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1337, 2676, 4015, 5354, 6693, 8032?\n\"Answer: 1339*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 3633921 in descending order.\nAnswer: 3633921, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by -4.\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16863, 28854, 40845?\nAnswer: 52836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10643*u**4 - 5151*u - 1?\nAnswer: -127716*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 207623 - 207628. Let y = 17 - 27. Which is the smallest value? (a) y (b) -6 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3423 - 3419. Solve q*h + 1029 - 1005 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 26 = -6. Let c(k) = -3*k - 25. Let q be c(-10). Suppose q*m - 18 = 2*m. Solve 0 = -o - m + v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 128842.77 seconds?\nAnswer: 2147.3795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 155*y**3 - 2*y**2 + 2*y - 1. Let s be j(1). Suppose 3*m - s = 74. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2142 (base 8) to base 3\nAnswer: 1112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 296969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/9*20*(-1)\/(-4)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109074065\/360693 - -18446\/61. What is the common denominator of d and 57\/2?\nAnswer: 11826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4004200 (base 6) to base 2\nAnswer: 101101110010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - s**2 - 2*s + 2. Let x be d(2). Suppose -x*l - f + 93 = 0, 22 = l + 2*f - 20. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, f: 1, c: 1, h: 7, z: 3}. Give prob of sequence cfq.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/(-208)*-13)\/(2\/27368)?\nAnswer: 2, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5 = 2*x, 2*o - 5 = 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*k + 1, 4 = -2*t + t. Suppose 3*i + 2*c = 5, -k*i - 7 + 47 = -3*c. Suppose -i*d = -2*d. Solve -2*h - 2*h + 8 = d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 8*r**2 - 5*r. Let l be z(7). What is the units digit of (-4)\/7*l*(-3)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6975 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 182 = -5*f. What is the greatest common divisor of 48 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*v + 5 = 0, v + 7 = -3*w + 3*v. Suppose -3*m - w = -7. What is the remainder when m is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-56)\/84*6\/4 + 25. Calculate the highest common divisor of 552 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.2, 0, 0.566, 0.2 in ascending order.\nAnswer: -0.2, 0, 0.2, 0.566, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*l - 1870 = -380*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 - 139*a**2 + 66*a + 243. Let r be b(69). Solve 34*i - 6 = r*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -198*v**5 + 1217*v wrt v?\nAnswer: -3960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -10*y**3 - 7*y**2 + 4. Let w(m) = -9*m**3 - 2*m + 2*m - 7*m**2 + 3. Let i(b) = 3*j(b) - 4*w(b). What is the third derivative of i(p) wrt p?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b - 41*b**2 - 6*b + 3*b**2 - 9*b**2 + 2*b**2 + (3*b - 3*b + 2*b)*(1 - 1 - b).\nAnswer: -47*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 179\/7?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259494?\nAnswer: 2, 3, 61, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 26128824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16433056 by 16433056.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 0, -58, 8.\nAnswer: -58, -4, -2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 3*k - 3*k)*(-3 + 3 + 2*k**4) - 488*k**5 + 263*k**5 - 128*k**5 - 2*k**5 + 5*k**5 - 2*k**5 + 2*k**3.\nAnswer: -356*k**5 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8814 is divided by 63?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1123978, 1123975, 1123970, 1123963, 1123954, 1123943?\n\"Answer: -a**2 + 1123979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -34*(-7)\/98 - 3\/7. Suppose -v*t + 5*u = -239, 372 = -2*t + 5*t - 3*u. List the prime factors of t.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2867504 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/7)\/6*-3*1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 4*f**2 + 5*f + 2. Let a be n(-5). Suppose -2*p = 4*x + 16, 0*x + 2*p = -a*x - 10. Let g(t) = -t**3 - 4*t**2 - t - 2. What is g(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79947.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 15 - -25 - 22.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 4 - 16. Suppose 0 = f*p + 3. Let n(h) = 2*h**3 + h + 1. Determine n(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -3, 3, 41454 in descending order.\nAnswer: 41454, 3, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-1 + 2 + 3.\nAnswer: -sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.3492271 rounded to one dp?\nAnswer: 14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 10:07 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c**5 + 32*c**3 + c - 460?\nAnswer: -140*c**3 + 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7 - 6 = 0. Let z = -0.37 + -0.03. Is z less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6122, 4, 6 in descending order.\nAnswer: 6, 4, -6122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14181 is divided by 836?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 15*s**4\/4 + 17*s**2\/2 + 13*s + 6. Let r(b) = -4*b**3 - 4*b - 3. Let w(d) = 2*i(d) + 9*r(d). Give w(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675*w = 130*w + 22156 - 8531 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, w: 1, o: 1, f: 1, k: 1, s: 1}. Give prob of picking 1 h, 1 f, and 1 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 25*t + 3*v - 786 = 0, 2*t - v = 388. Calculate the smallest common multiple of t and 8.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1443426*-0.6.\nAnswer: 866055.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*f + 7. Suppose -6*k = -8*k + 36. What is the tens digit of (k + f)*(1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094307014 to the power of 1\/2, to the nearest integer?\nAnswer: 33080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 503323 (base 9) in base 15?\nAnswer: 5d316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*h + 3083730 = -15*h - 543155. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -7*n + 0 - 1 + 2. Let s be y(1). Let b(z) = -19*z - 5. Is b(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/20)\/(8\/4060). Suppose 0 = -4*d + 6*d - a. Is d a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2764191200 to the nearest one million.\nAnswer: 2764000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-9) - (-8)\/36\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 3*c**2 + c + 2. Let h be a(2). List the prime factors of -1*(-1*(-5 + h) + -420).\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 9*z - 16*z**2 + 6*z.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 3:24 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1119785*y**3 + 448*y**2 + 54*y + 4 wrt y?\nAnswer: -6718710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 41\/2 of a milligram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 + -0.56. Let j = 8.8 + -8. Let t = k + j. Which is the nearest to -0.1? (a) 2\/11 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -12 + 4 + 122*u + u**2 + 114*u - 236*u. Let w(f) = -47*f**2. Calculate m(w(h)).\nAnswer: 2209*h**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) -1\/5 (c) -0.5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 14 = -4*r, 3*z + 5*r + 13 = 0. Suppose 5*k - z*m = 104, -4*k - 6*m + m = -75. Solve 30 = -5*s + 5*t, 0*s - 5*s - 5*t - k = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85 - 2*j - 395*j**2 + 2*j + 99 - 4*j - 9482*j**4 - 13 wrt j.\nAnswer: -227568*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.49 + 0.927. Let o = 9.313 + r. Round o to one decimal place.\nAnswer: 9.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/3, -8, -0.0599, 1\/9.\nAnswer: -8, -2, -0.0599, 1\/9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-5 - -4) - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**5 - v**3 - v**2. Let n(a) = -27*a**6 + 3*a**5 - 3*a**3 - 43*a**2. Let g(h) = -6*b(h) + 2*n(h). Find the third derivative of g(l) wrt l.\nAnswer: -6480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18, -24, -5, 1?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(625) - (sqrt(625) - ((sqrt(625) - sqrt(625)*2) + sqrt(625)))) + sqrt(150)\/(sqrt(6)*1 + sqrt(6)))\/(6*sqrt(45)*-2*-4).\nAnswer: sqrt(5)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.17 - 0.102. Let k = -0.0680029 + u. Round k to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3275101\/540 + -6065. What is the common denominator of -143\/72 and u?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1344*p**3 + 3*p**2 - 6*p + 2. Let r be b(1). What is the greatest common factor of 79 and r?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*l - 6, -l = -n + 4*n + 4. What is the units digit of n\/((-1)\/(-18))*(-5)\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 964*k = -1991 - 11784 + 3171 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*k + 4*p, 26*k + 10*k - 3*p + 129 = -108*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -35.5. Let a = 24.8 + m. Let u = -12 + a. What is u rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -77*l + 0*l**2 - l**2 + 2 + 72*l. Let c be 1*-1 - (-5 + 8). What is f(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 4*y - 2*y)*(3*y**2 + y**2 - 6*y**2) + 634*y**3 + 5040*y**3 + 221*y**3.\nAnswer: 5897*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-3 + (5 - 0)). Let m be -3*1\/(-4 + 3). Solve -m*l - l = x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*s + 5*p - 3, s + 4*p = 3. Suppose s = -5*x + 17. Suppose x*u - 120 = 118. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 503260*l + 44 - 99.\nAnswer: 503260*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 - -7) + 31584\/686?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + g. Let f(j) = -6*j**2 - 15*j - 27. Let t(d) = f(d) - 3*i(d). Solve t(v) = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(195\/126))\/(((-308)\/35)\/(-22)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 36 - 340. Let w = k + 383. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -3. Let k be ((-1)\/(-7))\/(1\/z). Suppose 4*u + 25 = 5. Which is the second biggest value? (a) k (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 20*y - 19. Let h(s) = -7*s**2 + 6*s + 4. Let k be h(-1). Does 20 divide c(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 8:49 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/693*18)\/(24\/7)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)*-3)\/(sqrt(32)*-4) - (sqrt(132)*3*3)\/(sqrt(768) + sqrt(768) + sqrt(768) + 2*sqrt(768) + sqrt(768)).\nAnswer: 9*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**5 - 25*u**4 - 85*u**3 + 65*u**2 + 260*u + 140 = 0.\nAnswer: -2, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a factor of 17945164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 145*a**5\/4 - 11*a**3 - 201*a. Find the second derivative of t(u) wrt u.\nAnswer: 4350*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -425\/27 - -47\/3. Let g be ((-1)\/(-3))\/(4 - 66\/18). What is the smallest value in -2, m, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 14*d = -44730. Let h be d\/27 - 2\/6. Let y = h - -395. Is y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1578854 = 85*b + 402879. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -51*h + 53*h + 5 + 3. Let t be -9*-2*1\/3. Is b(t) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -6*h + 5*o - 7, -5*o = 2*h - 37. What is the lowest common multiple of h and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40.41*-210.\nAnswer: -8486.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4057 - 5077 - 11868 = -716*p for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1460, 5831, 13122, 23339, 36488?\n\"Answer: d**3 + 1454*d**2 + 2*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s. Suppose s + 39 = 3*b. Suppose 199 - 223 = -2*u - 4*z, 4 = 2*z. What is the remainder when b is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 18 + (-16 - -28)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 15*s - 3. Let d be x(8). What is the remainder when 17\/3 + d + 68\/(-12) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4822 is divided by 509?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3380000 rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = x + 3*x + 4*w, 2*x - 9 = w. Let s = 26 + -23. Solve -x*d - s*d = -10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 8 = -2*j. Suppose 3*k - j = 8. Suppose w + 5 = 0, k*d + 2*w + 9 = -3*w. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-35 + 41) - (-210)\/(-5)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -11. Let f be (-9)\/6*x\/7. Let d = -1.3 - 0.7. What is the biggest value in f, d, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/287 (b) 0.1 (c) -2 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by -21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 26 = 5*s, -460*v + 61 = -452*v + 5*s for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 + 20 = 0. Suppose 0*o = 2*o - p. Suppose -1600 = 2*h - o*h. Round h to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*i + 2*v, -2*v = -3*i - 208 + 223 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -129\/28, 2, -5, 4\/3, 0?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyytmvtb. What is prob of picking 1 v and 1 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -265 - 46?\nAnswer: -2ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + (2*(sqrt(76) + 1) + 1 + 0 + sqrt(76))*-3)**2.\nAnswer: 396*sqrt(19) + 6281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.41 in 2\/11, 1\/2, 52, -2\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 + 3*i - 4. Determine g(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*d + 3*d + 2*d)*(-2 + 1 + 3)*(0 + 2 - 4) - 8 + 8 + 2*d + (d + 3*d - 2*d)*(3 - 2 + 0))*(-5*d + 3*d - 2*d).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -895*b + 867*b = -224. Solve -17*l - b = -9*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434480 (base 9) to base 2.\nAnswer: 111111010001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(1053) + (1 + sqrt(1053))**2 + 3 + 3).\nAnswer: -5300 - 135*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4715 - -6112. What is the lowest common multiple of r and 889?\nAnswer: 9779","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/762028121 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (752*f + 590*f - 67*f)*(0 + 3 - 1 + (-2 - 1 + 2)*(3 - 2 + 1) + 0 + 4 - 2 - 1 - 2 + 4).\nAnswer: 3825*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 46b69 (base 16) to base 7\nAnswer: 2314302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a millimeter in micrometers?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -585585, -1171172, -1756759, -2342346, -2927933?\nAnswer: -3513520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 1088.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 416016342 a multiple of 1459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = -2. Let f be 2*3*1\/t. What are the prime factors of (f\/1 - 3)*-2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10098 and 7578.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, k: 8}. What is prob of sequence khk?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*c + 5*c + 154 = 0, 3*c = -4*s + 188. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*c - 170 + 170.\nAnswer: 117*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 9:30 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -832*c**2*x**3 - c**2*x**2 + 103*c**2*x - 4*c**2 - 32*c*x**2 + 44*x wrt x?\nAnswer: -4992*c**2*x - 2*c**2 - 64*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 8*v**2 - 6*v. Let r be z(9). Suppose 4*y + 5*h = 604, 5*h - 7 = -r. What are the prime factors of y?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - 2) + (-6 - -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 1:32 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4 - 8 + 3*a**2 - 1 + 6*a**3 + 6 - 3*a - 4. Suppose 5*b = -2*y - 1, -3*y - y - 4*b = 8. Let q(p) = p**3 + p**2 - p - 1. What is y*q(k) + c(k)?\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, g: 1, s: 1, v: 1, y: 1, t: 1}. What is prob of picking 1 v and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 87*q - 3. Let g(w) = -44*w + 1. Suppose 9 + 1 = 2*i. Let a(k) = i*g(k) + 2*s(k). Is a(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.73 - -201.67. Let g = -219 + z. Which is the third smallest value? (a) g (b) -7\/2 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*o**2 + 6 + 9*o - 12*o - 11*o**2 - 8 as k*o + z*o**2 + r and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 + 27*y + 17. Let q(f) = f**2 + 5*f + 3. Let p(g) = 11*q(g) - 2*w(g). Suppose -h - 2*h - 18 = 0. What are the prime factors of p(h)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88648195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-18 + (-13400)\/(-750)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 22. Suppose 0 = z - 22 - w. Let d = 787 + -775. What is the highest common divisor of z and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.95 and -9?\nAnswer: -107.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - 1 - (169 - 182)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61037660 - 0.078.\nAnswer: 61037659.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 6 - -6) + (0 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 305 (base 6) to base 4\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3236)\/28 + 12\/(-28). Is 39 a factor of 12\/(-174) - 97448\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -3\/7, 7 in descending order.\nAnswer: 18, 7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143*d + 3*d - 127*d to j*d + f and give j.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2)\/y*y)**(9\/10))**36)**(15\/8) assuming y is positive.\nAnswer: y**(-243\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2420)*2*-2 + (sqrt(2420)*-2 + sqrt(2420))*4.\nAnswer: -176*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9))**(1\/12)\/(w*w\/(w**(-3)*w)*(w\/(w**(-2\/5)\/w))\/w) assuming w is positive.\nAnswer: w**(-1463\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5\/3)*z*z\/z**(1\/2)*(z*z**(-1\/4)*z)\/((z*z**(2\/19)*z)\/z) assuming z is positive.\nAnswer: z**(109\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -32. Let v be 2\/((-1)\/(3\/x)) + -5. Let m(z) = 9*z**3 - 22 - 16 + 33 - 5*z. Let s(b) = -8*b**3 + 4*b + 4. Give v*m(k) - 5*s(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 6*u + 34*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 22. Let r be (-2)\/h + 3*12\/(-54). Suppose -o - 35 + 92 = r. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 626, 2370, 5264, 9302, 14478, 20786, 28220?\n\"Answer: -g**3 + 581*g**2 + 8*g + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9431, 18864, 28297, 37730?\nAnswer: 47163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1305528 and 109\/36?\nAnswer: 3916584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 + 2*h + 1. Let c(d) = -d**2 - 7*d - 1. Let z be 1\/(0 + (-2)\/14). Let w be c(z). Let b be r(w). Solve -g = -2*g - b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-51)\/(-17))\/(1 - (-13)\/(-10)). Let u be ((-846)\/s - 0) + 27\/(-45). Let h = u + -40. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(14)\/sqrt(2)) - (sqrt(7) + sqrt(21)\/(sqrt(3)*-3)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1519 - -1373.8. What is z rounded to 0 dps?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3*f + 2*f - 105, -4*f = 5*u + 60. Is u\/(2 + 2) + 149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1808a (base 11) to base 16\nAnswer: 632b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -5*n**5\/4 - 7*n**4\/4 + 33*n**3\/4 + 79*n**2\/4 + 14*n + 3 = 0.\nAnswer: -2, -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -260, -274, -314, -392, -520, -710, -974, -1324?\nAnswer: -1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*q**3 - 9*q + q + 8*q - 6*q in the form v + k*q**2 + m*q + r*q**3 and give r.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.443507 litres in millilitres?\nAnswer: 5443.507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-40)\/(-28) - 2)*-7. Sort l, -2, 0 in descending order.\nAnswer: l, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27323141?\nAnswer: 27323141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 7*g + 1. Let v be j(5). Let y(w) = -w**3 + w**2 + 3. Let m be y(0). Let q be (-15)\/6*(-4)\/5. Solve 0*n - n = -m*h - v, q*n - h = 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 9:13 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*s - 3 = 3*s, 0 = -2*s + 6. What is the remainder when 25 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7924 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 46969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(114)*-4)\/sqrt(6)*3 - (4 + sqrt(1900) + -3 + -5).\nAnswer: -58*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 82\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 4. Determine b(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-2)\/12*-17. Let n = 209\/78 - p. Let j = n + 3\/104. Which is the third smallest value? (a) -5 (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 39*n + 64. Suppose -3*x + 7*a = 2*a - 32, 3 = -3*a. What is the tens digit of t(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11438*g**2. Let j(a) = -a**2. Calculate d(j(n)).\nAnswer: 11438*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*j - 19 - 13, 0 = 3*j + 5*k + 34. Put -38, j, -2 in ascending order.\nAnswer: -38, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-1\/2)*a*a)\/a*a)\/(a**(3\/4)*a))\/(a**13\/a*a*a*(a**(2\/11)\/a)\/a*a*a) assuming a is positive.\nAnswer: a**(-547\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3.653 * -2\nAnswer: 7.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 9. Give c(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 19826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 2*o**2 + 2*o**2)*(1 - 5 + 3)*(49*o + 30*o - 134*o).\nAnswer: -55*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/90 and 7\/58125?\nAnswer: 348750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 533109170 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 11*c**2 - 10. Calculate y(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 2) + -20 + (3 - -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 7*u - 3*u = 0. Solve a - 3 + 8 = u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 2 = -2*l, 2*a - 5884*l + 7 = -5881*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -19*a**2 + 510*a + 5. Let c(h) = 7*h**2 - 170*h - 2. Determine -8*c(y) - 3*s(y).\nAnswer: y**2 - 170*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/6 and 103\/46404.\nAnswer: 46404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 + 0*j**2 - 17*j**3 - j**2. Let w be a(1). Let y be (-4)\/(-3)*6\/w. Is y <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226599018 to the power of 1\/2, to the nearest integer?\nAnswer: 15053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 12:50 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmiaiankw. Give prob of sequence km.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (605 - 604) + (0 - (2 - 5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3101, 3103, 3107, 3113?\nAnswer: 3121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Suppose -c + 384 = -5*c. Let i = -93 - c. Let j(u) = -4*u. Determine i*d(w) + j(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 3*t + 7. Let b be i(4). Solve 3*w - r = -0*r + 5, -8 = -2*w + b*r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8b369 (base 16) in base 14?\nAnswer: 10bb3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -21, -49, -99, -177, -289, -441, -639?\nAnswer: -889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.218 in 0.5, 3, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 + l + 0*l + 0*l**3. Let i be n(2). Let b(k) = -k - 4. Let w(t) = -1. Let g(q) = b(q) - 2*w(q). Let h(d) = -4*d - 9. What is i*g(f) - 4*h(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -3 - (-15 - (-18 - (-17 + 14)))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*b - 12 = 0, 29*b - 26*b - 9 = 0. Let t(w) = w**2 + w - 8. What is t(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -137*v**3 + 4. Let w(h) = 547*h**3 - 18. What is 9*s(t) + 2*w(t)?\nAnswer: -139*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 17. Let c be v(5). Suppose t - 164 = -c. What is the remainder when t is divided by (2 + 29)\/((-2)\/(-2))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Suppose -o + u = -30. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 11*y**2 + y - 11. Let l be b(11). Which is smaller: -4\/5 or l?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.153 - 0.047. Sort -4, y, 5, 4 in decreasing order.\nAnswer: 5, 4, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2 - 2*g - g - g**2 + 5*g. Let h(s) = s + 27. Let a be h(-22). Give v(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 75\/(-10)*8\/6. Let u = -3\/994 + -24100\/1491. Find the common denominator of d\/(-35) + 1622\/(-140) and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*l**3\/4 - 555*l**2\/2 - 213*l - 42 = 0.\nAnswer: -14, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9422 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3657636 and 17253.\nAnswer: 3657636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 7*s = 52. Solve -5*p = 4*z - 2, s*p + 2 = 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -853*b**3 + 9*b + 746*b**3 - 2 - 13*b**2 + 11 + 36*b**2 - 14*b**2. Let v(u) = -27*u**3 + 2*u**2 + 2*u + 2. Determine -2*l(i) + 9*v(i).\nAnswer: -29*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 23*t + 84 = 0. Suppose -6*d - d = -t. Let h be (d + -2 + 0\/(-3))*1. What is the greatest common divisor of h and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 1. Let q be (u - (3 - 3))*0. Suppose 2*v + 4*n - 18 = q, n = -v + 1 + 6. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1624866 and 232448?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(-4*a + 0*a - a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2 - 3, 14 = -3*k + 5*c. Suppose -3 = -5*t + 7. Let q be (k\/t)\/((-2)\/4). Solve v - 3*x = 1, -q*v = -0*v + 4*x - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 9*c + 25*c - 20*c = 24, -31*c = -4*x + 163 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - sqrt(77)*-1*3) + sqrt(77))\/sqrt(11) - -3*(sqrt(448) - sqrt(7)))**2.\nAnswer: 4732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u - 84. Suppose t - 32 = 5*x, 3*t - 4*x + 50 = 4*t. Let i be o(t). Solve 4*j - 20 = i, 0 = -4*r - 3*j - 0*j + 27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -620 < -619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24412 divided by 34.\nAnswer: -718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 115 + 4 + -193 + 82\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11941 or 11942?\nAnswer: 11942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(5\/5*-10*(-22)\/(-220))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 2. Let a be t(-6). Suppose -4*p - 12 = -4*v, p - 3*v = 2*v - 23. Suppose a = -p*l + 4*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370260 a multiple of 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4242 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1020\/80)\/17)\/(1\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x + 2*x - x)*(-33 + 75 + 99 - 2 + 9).\nAnswer: 1036*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.7 (b) -10 (c) 1\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 31 + -2 + -1 + 0. Let l be (-4)\/6 + d\/(-12). Let a be 1*(83 + -73)*2\/(-4). Sort l, a, 2 in increasing order.\nAnswer: a, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82654, 82643, 82636, 82633, 82634?\nAnswer: 82639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-7 + -1 + -12 + 9 + 6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 6:06 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 43 = -2*j, 5*j + c = 1394 - 1321 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 34254011?\nAnswer: -34254012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 384192 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 147196.4 rounded to the nearest 1000?\nAnswer: 147000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-45) + 16\/720?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 9:54 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2766*i + 19. Is w(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*(-24)\/702*(-4)\/((-40)\/9).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*r**3 - 3*r**3 - 7 + 8 - r**2 - 2*r + 2*r**4 to o*r**4 + f*r + u*r**2 + l*r**3 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/12 + 1432\/1074 + 16672\/(-960)?\nAnswer: -86\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -11827*x - 59340. Determine q(-5).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 4. Let v be b(-7). Suppose 3*o - 2*x = 13, -o + 6*o - 9 = -v*x. Suppose o*f + 15 = 6*f. What is the remainder when f is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661022 to the power of 1\/2, to the nearest integer?\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + 1d?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 9*x + 140000. What is x rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 0*z**3 + 40*z + 1\/15*z**6 + 0*z**4 - 21\/2*z**2 + 1\/10*z**5 + 0. Differentiate p(r) with respect to r.\nAnswer: 8*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.025466 + -0.0126.\nAnswer: 0.012866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**3\/6 - 7*m**2\/2 - 3*m. Let p be x(5). Put 0, 3, p in increasing order.\nAnswer: p, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*i**2 - 12*i**2 - 8*i**2.\nAnswer: -55*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 15. Let a be g(-7). Do a and -24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4702 + 6256. List the prime factors of f.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1680030 and 4.\nAnswer: 1680034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 25. Let t = p - 8. Let i be t\/(-6) - (-1)\/(-6). What is the nearest to 1 in 3, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/2 or 52?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 2*n**3\/3 + 3*n**2 + 2*n + 2. Calculate the smallest common multiple of 7 and m(-4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z + 84572 = 154307 + 186937. List the prime factors of z.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3675*o**2 + 210*o - 3.\nAnswer: -3*(35*o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -894, -4857, -15612, -36555, -71082, -122589, -194472, -290127?\nAnswer: -412950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 10*z = -9*z - 1, -5*u + 2*z - 2 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 18*y**2 + 3. Let k be s(-18). Solve k*m + m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*m - 4, -4*b + m + 2 = -9*b. What is the nearest to 0.3 in b, -0.1, -6\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 7*v - 3. Suppose -2*t - 25 = -7*t. Let p be f(t). Suppose p*y = 681 - 163. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 4*j**2 - 6*j - 3. Determine n(-6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/26904 and 113\/114.\nAnswer: 26904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03371 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2106\/270 + -3*(-4)\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2947 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-112)*(-3745)\/(-40125)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 200 - 203. Let k(j) be the second derivative of j**5\/20 + j**4\/6 - j**3\/3 - j. What is k(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-9))\/(-6*1975\/(-495) - 24) - 16\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 14*f - 10*f + 2005, 2*o = -3*f + 825. Calculate the least common multiple of o and 495.\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 779318, 779316, 779314, 779312, 779310?\n\"Answer: -2*d + 779320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87782436 divided by 42.\nAnswer: -2090058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - (0 + 3 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**5\/13 - 58*o**4\/13 + 3196*o**3\/13 + 76988*o**2\/13 - 42338*o + 470270\/13 = 0.\nAnswer: -41, -31, 1, 5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 12:45 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 86, 207, 340, 485, 642?\n\"Answer: 6*d**2 + 103*d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -2. Which is greater: 10 or f?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**7\/210 + 11*h**5\/20 + 5*h**3\/2 - 103*h**2. Find the first derivative of d(r) wrt r.\nAnswer: 4*r**3 + 66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (10 - (-10 + 9)) + 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a factor of 129835680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*l = -13, -2*v = -0*v - 2*l - 2. Suppose 4*f - v*f = 1390000. What is f rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09236 + -0.09239234. What is z rounded to 6 decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21311430 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15961.\nAnswer: 11, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 + 825 = 108*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60249, -60253, -60257, -60261, -60265?\nAnswer: -60269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 8, 0, -3 in descending order.\nAnswer: 8, 4, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -17 + 24. Let r be 1\/(4\/98) + l\/14. Let m(c) = c - 11. What is the tens digit of m(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o - 0*o + 14. Solve -5*r - 3 = 5*m - o*r, 0 = -m + 3*r + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0395 in 1\/60, 1, -2\/7?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.059305 + -1.06. Round t to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnunnnuuunnaa. Give prob of sequence aan.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -12*r**2 - 40*r - 12. Give l(-9).\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**5\/60 - 5*z**4\/24 + 5*z**3\/6 + z**2. Let n be v(-6). Let f(u) = 9*u**3 + 2*u**2 + 2*u + 1. What is f(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 4*t + 528, 198 = 2*y - 3*t - 2*t. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17537256 divided by -6534?\nAnswer: -2684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 29, -3\/5, 730, 7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpd when three letters picked without replacement from pllsslldllllsdpldpll.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/3 + 13964*v**2 - 146217040*v - 1755274816\/3.\nAnswer: -(v - 20948)**2*(v + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + a**2. Let b be v(4). Let t be 160\/24*6\/5. Calculate the greatest common factor of t and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2)\/((-13)\/91)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89\/2 + 163\/3. Find the common denominator of -13\/3 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/3))\/(b\/(b\/b**(-4\/5)))*b\/(b\/b**(1\/4))*b**2 assuming b is positive.\nAnswer: b**(223\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 1093425 and 1093426 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*v + 37*v - 18361 - 7629 = 0. Solve -v = -15*s - 181 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17647 and 312931730?\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1621303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 5*m**2 - 6*m + 3. Let n be y(6). Suppose 25 = 5*t - 0*t. Suppose -5*c = w, 0 = -3*w - 3*c + 4*c. Sort w, n, t.\nAnswer: w, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x + b + 65, 2*x - 4*b = 36. Suppose 2*s + 5 = -4*n - 3, -x = 4*s. Suppose n = k - 20 - 7. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163788\/9*-1*27\/(-36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -2814774?\nAnswer: 2814773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1777 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 4*z**2 + 3*z. Calculate the remainder when c(-2) is divided by (-24)\/(-28)*(-7)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/5 (b) -0.2 (c) 0.2 (d) -1 (e) -2\/5 (f) 284\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o - 8. Let q be h(-6). Suppose q*r - 3*w = 20, -2*r + 0*w + 10 = 3*w. Let n(b) = b**2 - 11 + 16 - 3*b - 12. Determine n(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 7*s + 2*s - 16, 0 = 5*i + 5*s - 65. Suppose -16 - i = -5*d, -4*d = -2*p + 566. Is p a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 + -65. Suppose m*r - 3 = 3. Let a = 2 + -2.5. What is the second smallest value in -0.2, a, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/7 (b) -1 (c) 0.1 (d) 549\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 11) in base 9?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 37 = -3*g, 2*g + b - 5*b = -38. Let x be 0*g\/108*(0 + -1). Solve 4*p + 2*p - 3*p = x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -133 - 104 + 370 - 3916*x - 133 in the form d + y*x and give y.\nAnswer: -3916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7747909 is divided by 333?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41234959\/90 - 458172. Let w = -89\/10 - y. Which is smaller: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m*m\/((m*m**(-2\/5))\/m)*m*m)\/m)\/m))**(13\/5)*(m**0*m)**(5\/7) assuming m is positive.\nAnswer: m**(-512\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -158439613?\nAnswer: -1\/158439613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3820 divided by 543.\nAnswer: 3820\/543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 100\/77 in -4, 1\/6, 1, 2\/43, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 44 + 99 - 1794*y - 764*y. Is v(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**5 - j**4 - 5*j**3 - j**2 + 8*j. Let p(h) = -7*h**5 + 6*h**3 + 5*h**2 - 9*h. Let q(x) = 3*m(x) + 2*p(x). Let q(n) = 0. What is n?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 6:27 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -36065632 (base 8) in base 10?\nAnswer: -7891866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + (-19)\/6)*(-6 + 0). Solve u*x + 84 = -8*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -1. Let h = 313.0059 + -313. Let j = h - 0.0959. Sort j, -5, w.\nAnswer: -5, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5986633 is divided by 3136.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s - 10. Let g be b(4). Suppose -2*k = 4*h, g*h - 4 = 6*h. Calculate the highest common divisor of 10 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 200 = -4*d, 62 = g - 4*d + 3*d. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34234 is divided by 103.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -10 - -50) + -24?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75*a*d**4 + a*d**2 + 4*a - 12 with respect to d.\nAnswer: -300*a*d**3 + 2*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - q - 3. Let b = 2 - 0. Let c(p) = -2*p**2 - 2*p - 7. Let k(y) = b*c(y) - 5*d(y). Let f(s) be the first derivative of k(s). What is f(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36923 - 0.1?\nAnswer: 36922.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 409?\nAnswer: -409.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*p**4 + 840*p**3 + 424*p**2 - 2784*p - 2448.\nAnswer: -(p - 34)*(p - 2)*(5*p + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srsrsddrrssrssdd. Give prob of picking 1 s, 1 r, and 2 d.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4377360 and 126067968.\nAnswer: 630339840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/8, 3356, -1\/4 in decreasing order.\nAnswer: 3356, 1\/8, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (912\/(-532))\/((-234)\/(-5460))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/20 and -74\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*h - 6*s - 1415 = 0, 31652*h + 5*s = 31653*h - 26 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 242 + -144 + (-277749)\/2835?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(304) - (sqrt(19) - sqrt(1216)*1)) + -4 + (sqrt(114)\/sqrt(2) - sqrt(57))\/sqrt(3).\nAnswer: -4 + 31*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6936\/11*g + 128\/11*g**3 + 1632\/11*g**2 + 9826\/11.\nAnswer: 2*(4*g + 17)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 7056?\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5*j + 25, -p - 3*j = -0*j - 17. Let x = 13 - p. What is the tens digit of x + 0 + (1 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 + -1.8. What is the closest to -1 in z, -1\/14, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1578.16 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + (7 - (-16 + (13 - 25) - -12))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 600 - 4*p - 600. Let w(l) = 898*l**2. What is w(z(x))?\nAnswer: 14368*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 4*t**2 - 47*t + 13. Let m be l(9). Let q(g) = g - 14. Let v(j) = j - 9. What is m*q(w) + 8*v(w)?\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 474730431 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -34*q - 214. Let w be b(11). Let t = 664 + w. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4 + 12*s**2 + 16*s + 6 = 0. What is s?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 132*g + 984. Give d(25).\nAnswer: -1691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50526 or -275?\nAnswer: 50526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -13714*b**2 + 126*b - 64*b - 62*b. Let j(d) = 2*d**2. Determine h(j(s)).\nAnswer: -54856*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 15\/(-9) - 0)\/((-12)\/54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175535.\nAnswer: 5, 35107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 - -152. Calculate the greatest common divisor of s and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 1:57 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 18 = -d, 3*d - 24 = 4*k + 28. Let w be (-1)\/(-1 - (-8)\/9). List the prime factors of (d\/(-6))\/(w\/(-27)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 > 465\/94858?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9810043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = 2*s, -4*u = -0*u + s + 5. Let o be u\/(-9) + (64\/36)\/(-8). Solve 0 = -7*p - o*p - 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -681892, -681710, -681528, -681346?\n\"Answer: 182*d - 682074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 12:41 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a + 25. Let j = -18 + 18.1. Let m = -0.6 - -0.5. What is the nearest to j in 0, m, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -20, -58*t + 55*t = 3*m - 40710. What are the prime factors of m?\nAnswer: 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 9:17 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.5637 to 2 dps.\nAnswer: 5.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*x**2 + 146 + 20 - 20 + 30 + 50 - 2258*x = 0. Calculate x.\nAnswer: -113, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 8*r**4 + 2*r**2 - 7*r**4 - r**3 - 17 to i + l*r**2 + h*r**3 + t*r + w*r**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -965\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3015 - 3000) + (-73 - 1) + 1 + 2.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 3:56 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 67616 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116897 + 3*g - g - 116897.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42)\/14*(-4)\/3 + -43. Let a = r + 52. What is the smallest common multiple of a and 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yupzyybyzypy. Give prob of picking 2 y.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 139017796 to the power of 1\/2, to the nearest integer?\nAnswer: 11791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -445\/91 - -58\/13. Let q(n) = -n**2 + 5*n - 2. Let i be q(3). Suppose -i - 8 = -3*v. Which is the smallest value? (a) -2 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/403 or 0?\nAnswer: -24\/403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 48. Let g be c(6). Is 20\/g + (-221)\/(-3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 8. Let u(w) = -47 - 42 + 90 - w. Let o(h) = -3*g(h) - 6*u(h). Determine o(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + 200. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3436 + 3435.8. Suppose 4*k - 4*t = 96, k + 4*t + t = 6. Let h be (-11)\/k + (-2)\/6. Which is the second biggest value? (a) 5 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 610, 600, 566, 496, 378?\n\"Answer: -2*h**3 + 4*h + 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*m + 2589, q = 54 - 49. Is m a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 111720 and 19?\nAnswer: 111720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g - 314089 = -28548. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257352328 + 35*n + 257352328.\nAnswer: 35*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*v**4*y - 537*v*y**3 + y**3 + 122*y wrt v.\nAnswer: -8*v**3*y - 537*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.634 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*b - 44 = 0. Suppose 3*q + q = b. Calculate the remainder when 30 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*o + 51 = 0, 4*q - 8*o + 10*o = 68. Let x = 30 - q. Solve -33 = -5*d - x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5171452 is divided by 113?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 272*x - 81. Let c(a) = -134*a + 40. Let h(s) = 5*c(s) + 3*u(s). Suppose 2*t + 35 = 7*t. Is h(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101011111111 - -1?\nAnswer: -11101011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sow when three letters picked without replacement from {o: 1, w: 1, h: 1, y: 1, s: 1, x: 12}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 2)*(a**2 - 4*a**2 + a**2) + 2*a**2 - 2*a**2 - 3*a**2 + (-1 - 1 - 3)*(-a + a**2 + a) to the form l*a**2 + b*a + h and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from ffnfnnnnnfnnnf?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97393.57um to meters.\nAnswer: 0.09739357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 2*l = -139 + 231, -3*l = 2*b - 28 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 45\/(-9) + ((-30)\/(-7) - -1). Which is the closest to 5\/3? (a) -3 (b) -1 (c) -0.4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/62, 0.2, -1\/649, -3\/4, -1\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 - 43 = -w - a, -5*w = -a - 659. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 14 - 26 = 0. Calculate the greatest common divisor of 22 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 + 0.86. Let u = t + -0.9. Which is the nearest to -1\/2? (a) u (b) -2\/19 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29742*g - 29742*g - 43*g**3.\nAnswer: -43*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-1))\/(-3 - -5). Solve a + 15 = 3*c - 0*c, -c = -o*a - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83803955 - -83802929.99327. Let y = x + 1025. What is y rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**4\/24 + 5*m**3\/6 - 9*m**2. Let s be o(4). Solve s = i - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 297 and 396.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 4064352.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = n - 1, -n + 0*n = -5*j - 5. Let m = 44 - n. Is 44 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + w - 2*w - 47, 0 = -3*v - 5*w - 22 - 44 - 8 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -680, 142, 4, 0, 8.\nAnswer: -680, 0, 4, 8, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s + 1. Let l be y(-3). Let x be (-3)\/(54\/l) + 1. Suppose -5*t + 2*t = 0. Which is bigger: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1463 is divided by 727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-6))\/(-28 + 24). Which is the biggest value? (a) 8\/17 (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 - 2*f + 2. Let d be y(2). Does 4 divide d\/(-3)*(-9)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 7, 32, 89, 190, 347, 572, 877?\nAnswer: 1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 292*r**2 - 132*r + 61. What is the units digit of p(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.21 + 0.21. Let q = u - -35. Let l = -15.99999999 + q. What is l rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*b**2*m*u**2 - b**2*m*u + 6*b**2*m + 5*b*m - m*u**2 with respect to u.\nAnswer: -22*b**2*m*u - b**2*m - 2*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -25 + 13 - (61 - 33)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18711*x - 18695*x + 48 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8672985 to the nearest 1000.\nAnswer: -8673000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f. Let i(c) be the first derivative of -c**3\/3 - 20. What is i(y(t))?\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 551740 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 13, n: 3, q: 3}. What is prob of picking 1 o and 1 q?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-8) + 1*(-13)\/36. Put -2, q, 0.2, 2 in ascending order.\nAnswer: -2, q, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 5:27 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.70159 millilitres in litres?\nAnswer: 0.04870159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 3*w - 14*w - w**2 - 9 - 3. Let y(q) = -9*q**2 - 129*q - 120. Let d(j) = -21*m(j) + 2*y(j). Factor d(x).\nAnswer: 3*(x + 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 3, -915, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2648420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -28*m + 182. Give v(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -496 by -2.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 2*q + 51. Let j be v(-5). Which is smaller: 22 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 163 - 105. Suppose 3*m + f = -5. Let k be 3\/21 + 3\/m. Put -5, 1, k in descending order.\nAnswer: 1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/36*3)\/((-55)\/(-264))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 6:26 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.4109078 rounded to 2 decimal places?\nAnswer: 41.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + ((18 - 11) + 8 - 10).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 6263391.\nAnswer: 6263390.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10867 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i - 53. Determine j(-11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Suppose -5 = -5*s - p, 3*p - m*p = 5. Suppose s = 3*k - 2*k - r, 15 = 3*k + 2*r. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19b21 (base 13) in base 9?\nAnswer: 75800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 285 = -3*y - 294, 0 = -4*y - 4*a - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-68)\/(-10))\/((-6)\/120*-4). Suppose u*a - 100 = 33*a. Calculate the greatest common factor of 25 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 0.2, 0, 0.3, 418526 in ascending order.\nAnswer: 0, 0.2, 0.3, 3, 4, 418526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 85.73 * -0.4\nAnswer: -34.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2211, 4510, 6925, 9450, 12079, 14806, 17625?\n\"Answer: -p**3 + 64*p**2 + 2114*p + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(3 - 3 - b) - 6*b + 4*b + 3*b + 15*b + b - 6*b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**5 - 70164*l**4 - 617542680*l**3 - 38018412400*l**2 = 0.\nAnswer: -17510, -62, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 164259 and 164257 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25 - 37*q**5 - 264*q**5 - 10*q - 69*q**5 + 5 wrt q.\nAnswer: -7400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2120, -4261, -7832, -12833, -19264?\n\"Answer: -715*y**2 + 4*y - 1409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3791901713 to the nearest 1000000.\nAnswer: 3792000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10419508.\nAnswer: 2, 11, 236807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (30\/4 + 8)\/(1\/46).\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1253 - 1123 = -4*m. Suppose 3*l - 3*g = m, 3*g = 6 - 3. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -72. Suppose -4*u = 5*y - 90, 4*y - 58 - 40 = 2*u. Suppose 0 = -y*f + 23*f + v. Round f to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, -2, 227334 in ascending order.\nAnswer: -2, 2, 10, 227334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z - 129*z**3 + 2024*z**2 - 18*z.\nAnswer: -129*z**3 + 2024*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.329906*0.3.\nAnswer: 0.0989718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 1191 - 171. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*r - 6 = 0. Calculate the common denominator of (4\/10)\/((-256)\/8) and 2577\/198*r + 10\/(-55).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 232839 and 1893.\nAnswer: 232839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3736410 to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 0 + 0*m**4 - m**2 - 73*m - 10\/3*m**3 + 1\/12*m**5. Factor j(u).\nAnswer: 5*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6286942492 to the nearest integer?\nAnswer: 1846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 1534*w + 3. Let p(h) = -h**3 - 782*h + 2. Determine -3*n(c) + 5*p(c).\nAnswer: -2*c**3 + 692*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g = 53*g + 7*g - 667 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**8\/84 + 11*l**4\/12 - 19*l**2. Find the second derivative of k(s) wrt s.\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/((-836)\/888) - (-4)\/(-3)*(-6)\/44?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88208 is divided by 9799.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131 - 69. What is the remainder when z is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 26*k = 28*k + 141529, p - 5*k = 141523. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 3*a - 5*x, 0 = -5*a - 4*x + 80 + 103. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 49804?\nAnswer: -1\/12451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 10*s**2 + 13*s - 16. Let z be b(11). Suppose z*g = g. Let p(r) = -r + r - r + g. Let h(m) = 8*m**2. What is h(p(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 618072 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 127\/((-40640)\/(-768)) + 54\/(-35)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*(1 + sqrt(325))**2 - (sqrt(325) + sqrt(325)*1 + -3)**2).\nAnswer: 120*sqrt(13) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.0400431 microseconds to hours.\nAnswer: 0.00000000167778975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -227029 times -9.1\nAnswer: 2065963.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(4 + -3) + 4. Which is the smallest value? (a) -1\/2 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 80.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -1. What is the derivative of -7*r**2 + z + 5*r**2 - 2 + r**2 wrt r?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 - 1. Suppose 0 = -3*g + 5 + 67. Let a = g + -29. Let z(r) be the second derivative of -r**4\/3 - r**2 - 4*r. What is a*b(j) + 2*z(j)?\nAnswer: 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/3 + 550*q**2\/3 + 3889*q\/3 + 5570\/3 = 0.\nAnswer: -5, -2, 557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 13*d + 2. Let h be n(7). Suppose 4*s - h = 56. Solve -t - s = -6*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2947.63 rounded to the nearest ten?\nAnswer: -2950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b - 7. Let q be o(0). Let i(j) = j**3 + 7*j**2 - 6*j + 18. What are the prime factors of i(q)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f = 60*f + 1171 - 1267. Suppose -v - 2 = -8. Put v, -2, -4, f in decreasing order.\nAnswer: v, f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35, 11, -107, -367, -817, -1505, -2479?\n\"Answer: -8*k**3 + k**2 + 29*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 5*z**4\/24 - 55*z**3\/2 - 170*z**2 + 613*z. Solve n(b) = 0.\nAnswer: -2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 5.05. Let z = v + 2.05. Let c = z - 1.9. Is -0.1 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71625457 is divided by 3450.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 6:40 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from bytmbtybwwwwbwywbywb?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -6?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.651 - -1.43. Let b = u - 0.049. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) -1\/3 (c) -345 (d) -18\/5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -79. Let j be s\/4 + (-2)\/(-8). Let i = 1 - j. Calculate the smallest common multiple of i and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*n - 4*n + 5*n)*(-4 + 4 + 1) + 3 + 2*n - 3 - 10 + 10 - 8*n)*(0 - 3 + 2) in the form m + y*n and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-12))\/(2 - 597\/300). Let w = s - -26. What is the remainder when w is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -372, -1440, -3210, -5682, -8856, -12732, -17310?\n\"Answer: -351*l**2 - 15*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-228))\/(-3*2\/81)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 = 7*j - 3*j, 0 = 2*j - 5*s + 15. Suppose 7*h - 11*h + 20 = j. Solve 5*o - 3*o + 3*u - 13 = 0, -4*o = h*u - 23 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1264004, 2527978, 3791940, 5055884, 6319804, 7583694, 8847548, 10111360?\nAnswer: 11375124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*g + 126675 = -808, 0 = -7*o - 2*g + 223048. Is 208 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k**2 - 6. Let y be h(2). Let f be (y\/(-4))\/((3 - 7)\/(-32)). Let i = f - -47. Solve 5*d = -4*n - 5, 0*n + 5*n + i*d = -3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 1. Let m be (-22)\/(-12) - 4\/(-24). Let w be v(m). Suppose -4*t + 3*b = -t + 15, 5*t - 3*b = -23. Sort w, t, -2.\nAnswer: t, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*(15\/(-6))\/(-5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 146*(-4)\/(4\/5). Let u be (-8)\/12 - v\/(-3). Is (-2)\/(-9) + u\/(-36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-100)\/(-30))\/(2\/(-3)). Let y(n) = n**3 + 4*n**2 - 4*n. Give y(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(11))*-1 + sqrt(11) + (sqrt(275))**2*-2 - 4*2*(sqrt(220)\/sqrt(4) - sqrt(55))\/sqrt(5).\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/4 + 4 + (-56)\/(-14). Let c(s) = 36 - 3*s - 12*s - 37 - 2*s**n. Give c(-10).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -58*t - 136*t + 74 - 71 + (-4*t + 3 - 3)*(2 - 3 + 2).\nAnswer: -198*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -464, -921, -1378?\n\"Answer: -457*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 6*j**2 + 5. Let f be a(-6). What is the third smallest value in 4, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 65*k**2 + 2*k. Let n be t(-1). Let a be 1534\/(-24) - (-4)\/6. Let v = a + n. Sort v, -3, -0.2.\nAnswer: -3, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 3*n**3 + 5*n**3)*(9 - 9 - 4*n).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -48878 + 48878 + 818*q in the form w*q + g and give w.\nAnswer: 818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115859 + 234988. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**8\/42 - 2*o**7\/105 - o**4\/24 - 9*o**3 - 93*o**2 + 2*o. Find the second derivative of s(b) wrt b.\nAnswer: 160*b**3 - 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (5 + (-13 - -16) + 1 + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 8:01 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-26)*f)\/((f\/(f\/(f*f\/f**17))*f)\/f))\/(f**3*f**10*f) assuming f is positive.\nAnswer: f**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -241.97 - -239. Let x = -0.03 + w. Which is the closest to x? (a) 0.08 (b) -4\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358226434 to the power of 1\/2, to the nearest integer?\nAnswer: 18927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 37*j**2\/2 - 362*j - 4893. Calculate m(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2063.209 weeks?\nAnswer: 1247828803.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*g**2 + 649 + 494*g**3 + 4*g**2 + 3*g**3 + 175 wrt g.\nAnswer: 1491*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w + 1. Determine o(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 6*b. Let k be -3 - (5 - (8 - 7)). Calculate w(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46451912 + -76554.\nAnswer: 46375358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, a: 2}. What is prob of sequence lla?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*x - 51, 2*c = 4*x - 0*x + 100. Let l = c - 43. Suppose 2*w = 3*w - 20. What is the greatest common divisor of l and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*z - 5*y + 5, 2*y - 22 = -3*z. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 3. Let s be (-13)\/2 - 1\/i. Let h = s + 32. Calculate the remainder when h is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6306.3339 - -3.5661. Round t to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -3. Let c(y) = 5*y**2 + 2*y - 4. List the prime factors of c(t).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r + j = -281, 3*j = -r + 69. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.3 times -0.3\nAnswer: -3.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14130 divided by 9\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -3\/4 (c) 0.1 (d) -0.76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -55 + -17 + 37 + 21\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -137\/69 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -38*o + 113. Let r be a(3). What is the third smallest value in 68, -1\/2, -1\/10, r?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 6*v**3 + 5 + (-9*v - 6*v + 4*v)*(-4*v + 3*v**2 + 4*v) to the form h*v**2 + s*v**3 + p + j*v and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2142, -4287, -6432, -8583, -10746, -12927, -15132, -17367?\n\"Answer: -z**3 + 6*z**2 - 2156*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -34 + -1 + 20 - -118 - 9 - 1\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f - 1. Let i be q(1). Let s = 8 - i. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5*sqrt(81)*1 + sqrt(81)))\/(1*(sqrt(3) + sqrt(18)\/sqrt(6)) + sqrt(3) + sqrt(36)\/(sqrt(12)*3)).\nAnswer: -162*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/77)\/((-800)\/4400))\/(6\/(-28))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 6*l**2 - l - 8. Let h be w(-6). Let t = 0.8 + 1.2. Which is the nearest to t? (a) h (b) 2\/11 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/21)\/(4 - 132\/32)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q - 3*o, 7*o - 5 = 5*q + 2*o. Let g = 3 + q. Which is greater: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u + 4*u - 9*u**3)*(2 + 0 + 2)*(-2 + 11 + 7 + 5 + 2) to the form c + g*u**3 + v*u**2 + y*u and give g.\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 3480*c - 6850*c + 24.\nAnswer: -10330*c + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5\/2*p**4 + 7\/2*p**2 + 11\/4*p - 3\/2 - 29\/4*p**3 = 0. What is p?\nAnswer: -3\/5, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 6*c - 4. Let d be t(6). Let l(u) = u**3 + 6*u**2 + 7*u + 4. Let a be l(d). Suppose -11*s = -a*s - 51. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*w + 4 = -1, 40 = 5*y + 5*w. Suppose -s + a + 30 = -a, -63 = -2*s + y*a. Calculate the highest common factor of 42 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 2*u**2 - u + 143. Let n be z(0). What is the third derivative of -117*b**3 + n*b**3 + 0*b**2 + 4*b**2 wrt b?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -144*j + 145*j - 493. What are the prime factors of j?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.042 and -8?\nAnswer: -0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -667452 + 667452 + 2*z**2. Let r(d) = 7*d - 7*d - 12*d**2. What is n(r(y))?\nAnswer: 288*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -28 times -2.7813\nAnswer: 77.8764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 3. Let o be s(15). Let v be (o - 16) + 2*3. Solve -4*a - j = -v*a + 6, -5*j + 9 = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 10*u + 139. What are the prime factors of b(17)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (81\/(-243))\/(2*(-1)\/(-30))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 425394869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -44.1. Let o = -3.4 - m. Let l = -335 - -331. Sort o, l, -9 in descending order.\nAnswer: o, l, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u - 4*u - 90*u**3 + 11*u.\nAnswer: -90*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 7*d**4\/4 + d**3 + d**2\/2 + 5*d - 1. Let o(h) = 8*h**3 - 3*h + 6 - 6*h**2 + 6*h**2 + 3*h**2 + 4*h. Calculate 6*g(s) - 5*o(s).\nAnswer: 2*s**3 + 3*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 42144?\nAnswer: -42143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 5*c - 3*b + 57, 0 = -4*c + 2*b + 28. Suppose c*v - 52 = 5*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {y: 2, v: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 2. Let a be f(-1). Suppose 2*l + 5 = 5*v, 3*l - 4*v + 1 - 4 = 0. Solve 0 = -3*c + 4*z - 2 - a, -4*c - 13 = l*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfl. What is prob of picking 1 l and 1 f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -21 * -10.7\nAnswer: 224.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11341564, 11341565, 11341566, 11341567, 11341568, 11341569?\nAnswer: 11341570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j. Let a be 0\/(-2) + 2 + 3. Let w be (-2)\/5*-10 - 3. Let d(o) = -3 - 3 - w + a. Give -d(m) - 2*r(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 2008473?\nAnswer: 2008478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9) + 7\/((-105)\/550). Let s = i + 58. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(77) + (sqrt(77) - (sqrt(77) - (sqrt(77) - (sqrt(77) - (sqrt(77)*5 + sqrt(77))))))))\/(sqrt(11) + (sqrt(539) - (-1*sqrt(539) + sqrt(539)))).\nAnswer: 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -176386039*u**2 - 32608148*u?\nAnswer: -352772078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**6\/90 + t**5\/15 + t**4\/6 + 8*t**3\/3 + 9*t**2. Let a(y) be the first derivative of w(y). Factor a(p).\nAnswer: 4*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/6 + 637*v\/6 - 48830\/3.\nAnswer: -(v - 380)*(v - 257)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2295)\/68)\/9)\/(1\/4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/8*(-157)\/785?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 290 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(208)*-6 + sqrt(143)\/(1*sqrt(44)) + -5.\nAnswer: -47*sqrt(13)\/2 - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3861102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -201 - -271. Let m(l) = l**3 - 5*l**2 + 2*l - 5. Let d be m(5). Suppose -d*f + 7*f = c. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6077 = -167*w - 399 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxjjjaxjjxs. What is prob of picking 1 j and 1 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.627 - -0.027. Let l = d + 8. What is the second biggest value in -4, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -2*x**2 + 37*x + 11. Let g be j(10). Let s be 3\/((-7)\/(-3) - 2\/g). Solve -t - 2 = s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -2 + 3 + 17 + 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/8)\/((-5)\/20*-4). Which is the nearest to -30? (a) -5 (b) 2\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10 + -2 + 148\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1 - -11) - -4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 284569884 to the nearest integer?\nAnswer: 16869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 11:23 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37 + 27?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 x when three letters picked without replacement from kxgxxxxkkgxgxgxk.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.39 - 0.01. Let q = 55 - 55.3. Let k = 0.24 + -4.24. Which is the nearest to k? (a) -1 (b) q (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o + 15 = 0. Let u = 18 - o. Let s be 4 + (-3 - (-2 - u)). Let z(h) = h**2 - 7*h - 2. What is z(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*d + 8 = 0, -2*d + 5 = 5*v - 0*d. Suppose f = -v, y + f = -2*f + 25. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - t - 2*t)*(2 + 4 - 1) + (3*t - 2*t - 3*t)*(-3 - 1 + 3) + 7*t - 12*t - 26*t to the form k + j*t and give j.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njv when three letters picked without replacement from jvjnjjjjlljjljlvnjj?\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 0 + (-950)\/(-30). What is the third biggest value in -0.3, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/6750 and -57\/295?\nAnswer: 398250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -952\nAnswer: -5\/952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.1, -2, 466, -6\/29, 5\/4, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u + 520 = 5*u. Sort 2, 1, u in decreasing order.\nAnswer: 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*y + 74*y - 21 = 0. Let i be (-28)\/(-8)*4\/7. Put i, -2, y in ascending order.\nAnswer: y, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 0*u + 1 + 2*u + 3*u - 6*u. Let f(z) = 4*z**2 + 14*z - 12. Let m(w) = f(w) + 12*t(w). Find the second derivative of m(j) wrt j.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/(q**(1\/3)\/q)*q\/q**1*q)**(6\/35) assuming q is positive.\nAnswer: q**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3502047 or 3502045?\nAnswer: 3502047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 194213 - 5439825\/28. Let l = -259\/4 - v. Find f such that 20\/7*f + 8\/7 - 4\/7*f**4 + l*f**2 - 4\/7*f**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144707*g + 1820*g**2 - 144705*g + 289412*g.\nAnswer: 1820*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*s = 2*f - 2, 16 = 4*s + 4*f. Suppose j + j = 0. Suppose s*x + j*x - 4 = 0, -10 = -4*d - 3*x. Which is smaller: d or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/3))**(-7\/4))**(-2\/15)*(z*z**0)**6*z**(-6)*((z*z\/(((z\/(z*z*z*z*z*z**(-5)))\/z)\/z*z*z)*z)\/z*z)\/z assuming z is positive.\nAnswer: z**(52\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 211 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -10 - 6. Suppose 3*s + 2*z = z + 9, -3*s - q*z = -9. Let r(m) = m**2 + 68*m + 203. Calculate the remainder when r(-3) is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millennium in decades?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, z: 4}. What is prob of sequence zggz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/((-5)\/(-10)). Let p(s) = 5*s**3 - 2*s**2 - s. Give p(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65? (a) -0.3 (b) -2\/15 (c) -4\/9 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -19. Solve f - 1 = -k, 0 = 5*k + a + 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-7)*7*(-3)\/27.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -477 by -4.\nAnswer: 477\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18306 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: Solve 2*m**2 + 379681460*m + 18019751383466450 = 0.\nAnswer: -94920365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + d + 2. Let o be p(0). Let u(h) = h**2 - 11*h + 15. Let a be u(6). Let c be 4 + a\/5 + -1. Solve c*m = o*m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -940822\/153 - -6149. Find the common denominator of 145\/306 and w.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1 + a + 0 + 0. What is the remainder when 11 is divided by j(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1 + 2*w - 2*w + w + w**2 - 6*w. Determine o(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (0 - 4\/4). Let b(a) = 3*a + 4*a**2 + f*a**2 - 2*a**2 + 6*a**2 - 2. Let t be b(2). Solve 3*w - 5*u - 35 = 0, 0*w - 4*w + 4*u + t = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 9:15 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 6063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**3 - 8*a**2 - 5*a - 29. Let k(z) = 2*z**3 + 7*z**2 + 6*z + 29. Let g(t) = 7*d(t) + 6*k(t). Is g(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 499 - -64a?\nAnswer: ae3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1 + 14*a + 2 - 8*a + 13*a. What is the remainder when w(4) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 11*c - 10. Let q be b(-10). Suppose -6*x + 3*x + 24 = q. Solve 12 = -4*j - x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(28) + (sqrt(84) + (sqrt(84) - (sqrt(84) + sqrt(84)*2 + sqrt(84))))\/sqrt(12) - (sqrt(7) + sqrt(28) + 3 + sqrt(252)\/sqrt(4))**2.\nAnswer: -265 - 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 14 = 5*l - 2*g, -4*l + g = -17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/(-2)*(-2)\/(-3). Suppose -s*j + 2*j = -70. Let u be ((-100)\/(-75))\/(2 - (-80)\/(-42)). Calculate the greatest common divisor of u and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 3*x**2 - 1 - 4*x**2 + 6 - 4*x. Suppose -r = k + 3 - 4, -11 = -4*k + 3*r. Let c be n(k). Is c <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70855*p**2 + 2*p - 77352*p**2 - 113176*p**2.\nAnswer: -119673*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 16. Calculate the remainder when r is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-10))\/((-40)\/(-50)). Sort d, 3\/4, -0.45, -1 in descending order.\nAnswer: 3\/4, -0.45, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 - -120. Let j(l) = 10*l + 41. Let k be j(-4). Sort d, -33, k in increasing order.\nAnswer: -33, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r - 2*r + r)*(0*r - 3*r + 4*r)*(-3 + 3 + 10*r) in the form j*r**3 + q*r**2 + w*r + a and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**4\/5 - 18*s**3\/5 + 68*s**2\/5 - 48*s\/5 = 0?\nAnswer: -12, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqq. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-3)*p)\/(p\/(p*(p*p*p**(6\/5))\/p)*p)*(p\/(p\/(p\/p**1)))**(-35) assuming p is positive.\nAnswer: p**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(180) + (-2 + sqrt(180))**2 + sqrt(180) + 0)*6 + -5.\nAnswer: -288*sqrt(5) + 4411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - q**2 + 6. Let w be j(0). Suppose 0 = -2*r + w + 2. Solve 2*c - 2 = -4*k + 12, 3*k - 18 = -r*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*u - 18*u = -106 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -570 - 235 - 8*r + 1487 - 224 - 230 - 228.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 + 138. Let g = -59 + l. Let z be (-1 - 0)\/((-4)\/6). Which is the nearest to -0.1? (a) g (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864038135 less than 0.13?\nAnswer: -1864038134.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, i: 1, f: 1, c: 1}. What is prob of picking 1 c and 2 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.03, -0.05, -2\/11, 0.2, 0.06?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.895 - 1.88. Let u = y - -0.085. Which is smaller: u or -2.8?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**2 + 15*a**2 + 10*a**2 - 14*a**2.\nAnswer: 19*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjhehqjrjhi. Give prob of picking 1 j, 1 e, 1 q, and 1 h.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 82723 = i - 4044, 4*u = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 + 42 = 0. Let n = 2 + k. Does 16 divide (-42)\/((n\/4)\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47515?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1253120, -2506071, -3759010, -5011931, -6264828?\nAnswer: -7517695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 632700 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 0.4, -0.1038 in increasing order.\nAnswer: -3, -0.1038, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17\/4 + 9\/12. Sort 158, -5, k in descending order.\nAnswer: 158, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/12*16\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(sqrt(847) + sqrt(847)*-3 - sqrt(847))**2 + 3*(sqrt(847) + -2 - sqrt(847))**2)*3.\nAnswer: -114312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2823.81 and -3?\nAnswer: 2826.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -496276*h - 911. Is i(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125 + -14. Is w\/9 + (-4)\/12 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5457217 or 5457238?\nAnswer: 5457217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75825550*x**2 - 421*x**3 + 417*x**3 + 75825550*x**2.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4050 divided by 6.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -1, 0, -8 in decreasing order.\nAnswer: 4, 1, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.13, 6\/5, 6.\nAnswer: 0.13, 6\/5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 118841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -191 and -0.01651400834?\nAnswer: 190.98348599166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = 20*b + 8*b + 303 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g = -17*g - 57*g - 98 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 159433140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -772291*h - 1538554 wrt h?\nAnswer: -772291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173.808 weeks in days?\nAnswer: 8216.656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -209000 divided by 38\nAnswer: -5500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 536347 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 1504.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -227\/2 + 113. What is the third smallest value in u, -2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -1 - 6*w**2 - 22*w + 4 + 16*w + 9*w. Let k(h) be the second derivative of -h**4\/6 + h**3\/6 + h**2\/2 + h. What is 17*k(z) - 6*v(z)?\nAnswer: 2*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 r, and 1 g when three letters picked without replacement from {r: 3, g: 1, l: 2, d: 6, b: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o - 39*o = -2335 + 775 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -54295a (base 13) in base 2?\nAnswer: -111100010100101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -865818 or -865821?\nAnswer: -865818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-8)*-2)\/((-224)\/(-448)). Let g = -27.3 - -27. Which is the nearest to 1? (a) h (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3860 = -5*a, -22*y + 19*y = 5*a - 3830. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2119308 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-8)*5)\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10560a + -3?\nAnswer: 105607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7745943911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41696603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*((-2*l**2 + 3*l**2 + 2*l**2)*(l**2 - 2*l**2 - l**2) - 2*l**4 + 2*l**4 - 2*l**4) + (1 - 3*l**2 - 1)*(4*l**2 + 0*l**2 - 3*l**2).\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17025788 and 1196?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262, -139, 200, 863, 1958?\nAnswer: 3593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 128*x - 269060215 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 5*q + 18. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-12))\/(130\/468)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 36. Let v be k(18). Suppose 0 = -v*b - 2*b + 82. What are the prime factors of b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p - v - 18 = 0, -104*p = -52*p - 50*p - 5*v + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 26*o**2 - 773*o + 41. What is the tens digit of l(34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -16. Suppose -3*k + 3*y = -6, 4*y - 6 - u = 0. Suppose 0 = -2*t - 2, -k*t = 4*i - 0*t - 672. Is i 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 3:25 AM and 10:58 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7438 divided by -7.\nAnswer: 7438\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/12 - -2)\/((-4)\/(-12)). Let l(z) = -z + 148 - 2*z**j - 149 + 4*z**2. What is l(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (160 - 232 + 205)*(8*s - 188 + 188).\nAnswer: 1064*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142 and 4458658.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1166, -4548, -10184, -18074, -28218, -40616, -55268?\n\"Answer: -1127*m**2 - m - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 + -152. Suppose z - 4*z - 9 = 0. Let l = z - w. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, s: 15}. Give prob of picking 4 p.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = 5*v - 252. What is the tens digit of ((-6)\/v)\/(1 + 2276\/(-2274))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 107 and -0.2.\nAnswer: -21.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3431, 3427, 3421, 3413, 3403, 3391?\n\"Answer: -a**2 - a + 3433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 11 = 4*b, -5*b + 22 = 5*w - 18. Suppose -14 = -7*r + b*r. Solve 0 = 3*l + 1 - r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*d)*((-d**2 + 2*d**2 + d**2)*(-3*d**2 + 0*d**2 + 4*d**2) + 0 + 2*d**4 + 0 + 3*d**4 - d**4 + d**4 + 6*d**4 + 0*d**4 - 4*d**4).\nAnswer: -27*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(2 - 10) - 9912\/(-1260). Which is the third biggest value? (a) 0.04 (b) 2 (c) 0.11 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -6. Let h be -2 + -3 + q + 6. Let z be (-2)\/h - 0 - (-2)\/10. Solve z*x + x + 4 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 251.16274 + -266.1627344. Let i = r - -15. Round i to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 - 776*o + 28 - 16*o**3 + 775*o + 17*o**3 to the form u*o + s*o**2 + g + x*o**3 and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 + 197*u + 4850. Give i(-51).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.3697174 kilometers?\nAnswer: 369.7174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 9*f**2 + f + 12. Let w(m) = m**3 - 10*m**2 + 8*m. Let d be w(9). Let t be z(d). Suppose -t*r + 0*r + 54 = 0. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5136 = 12*s + 4*s. Let a = s + -105. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00816 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**5\/5 + d**4\/4 + 11. What is h in p(h) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.78.\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 0.2602.\nAnswer: 4.2602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-129)\/24 + ((-135)\/(-40) - 3). Let s(r) = 10*r + 1. Give s(l).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -184\/21 (c) -1\/2 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -13214?\nAnswer: 13220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 - -3) + -9 - (-2 - 11). What is the units digit of -11 + 133\/b - (-2822)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*x + 22840012, -9*x = 3*k - 10*x - 17130014. Suppose -3*d + 2*j + 17130006 = 0, -4*d - 2*j - k = -5*d. Round d to the nearest 100000.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -1\/20*u**5 - 2\/3*u**3 - 17\/12*u**4 + 23\/2*u**2 + 0 - 7*u. Is a(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3006237 or -3006248?\nAnswer: -3006237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87.9999905 - 88. What is k rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 12, -2*b - 40 = -5*r + 12. Let m = -32 - b. Solve 3*q + m = -2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 9, 0 = n - 2*p + 4*p + 10. Let s = 0.1 + -0.1. Which is the closest to 2? (a) n (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (((-255)\/7)\/(-5) + -4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 10*w + 11. Let c(s) = 2*s + 2. Let v(h) = -4*a(h) + 22*c(h). Let u(j) = -3*j**2. What is v(u(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + z = -58, -3*z + 46 = -r + 2*r. Suppose 2*n + 0*m = 2*m + 34, 3*n = 5*m + r. Suppose 528 = -4*w + n*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*q - 23 - 5, 0 = -2*j + 5*q + 48. What is the third biggest value in j, -18.18, 0.1?\nAnswer: -18.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) -1\/3 (c) -4 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2 - 5, 2*m = 5*z + 15. Which is the closest to -0.1? (a) -0.1 (b) m (c) -2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = 3*x - 4. Solve x*u + 11 = -d, -3*u = -145*d + 143*d + 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 151 = 3*b - 162, b - 20 = 5*b + 2*w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 232 in ascending order.\nAnswer: 1, 2, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2*b = 3*t - 1, 2*b - t - 7 = 0. Solve w = -b*w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-906.\nAnswer: 2718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 332081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -305*l**4 + 7782*l**3 - 7782*l**3 + (-7*l**2 - 6 + 6)*(l**2 + 0*l**2 - 1 - 3).\nAnswer: -312*l**4 + 28*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000101000100110 - 100100?\nAnswer: -10000101001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 8*j**2 - 6*j - 1. Let a be 12\/4 + 4 + -1. Suppose -4*s + 3*u + 43 = 0, a*u = s + u - 32. Let m be k(s). Solve -v + m = 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = p + 1. Let v be 3 - p - (-17 - 2). Suppose -3*c + v = -43. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q + 1. Suppose 2 = 5*j - 3. Let m be g(j). Let b(p) = 2*p**2 + p. Give b(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 1.682\nAnswer: -0.5046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 2*l + 15. Let d be n(-4). Suppose d*s - 6592 = 7975. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 403*g - 64. Let b be o(24). Suppose 5*j = 2*q - b, -j - 1904 = 3*q + q. Round j to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + (0 - 1)\/1. Let q(h) = h**2 + 6*h + 2. Let a be q(-6). Factor 3 + 3 - s*l**a - 6 - 4*l.\nAnswer: -4*l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 26*b - 1905. Give s(-38).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 b, and 1 c when three letters picked without replacement from cobcbocbccbocbooboc?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 less than -52774\/3271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 40\/19200*-30*(-128)\/536\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -237 and 12.93499.\nAnswer: -3065.59263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2 + 0*d - 24*d**2 + d**3 + 4*d + 31*d**2. Calculate j(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(3\/63)\/((-4)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/13 (b) 3 (c) -0.5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14161347 (base 9) to base 14\nAnswer: d05dd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000178101345 to seven dps.\nAnswer: 0.0001781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 3, -8, -2\/7, -3, -31305\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104760 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -988, -4207, -11842, -26101, -49192, -83323?\nAnswer: -130702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnonnnonnnnnnn. Give prob of sequence nnon.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -9*p**2 - 7. Let y(t) = -3*t**2 - 2. Let m be (-99)\/4290*-26 - 38\/5. Suppose -4*g + 4*f = -0 + 8, -2 = 3*g - 2*f. Determine g*o(i) + m*y(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*j = 12, -6 = 5*j + 9. Suppose 0*i = -k*i + 12. Solve i = -2*f + 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 195 + 95 = 0. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b - 7. Let g be u(4). Suppose x + x + d = 243, 607 = g*x + 3*d. List the prime factors of x.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52408 is divided by 728.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/787 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + u - 1 + 0 + 0*u.\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by (-12)\/(-2) + (-56)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1843622 (base 9) to base 10\nAnswer: -1032770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -25. Let w be 24\/154*f\/7352. Let g = w - 778549\/262834. Find the common denominator of 97\/16 and g.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9587.\nAnswer: 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -27.909. Let u = y - 2.009. Let t = u - -1.17. What is t rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**25*x*x*x)\/(x*x**(3\/5)*x))\/(x\/(x*x\/(x*x**8)))**(-8\/3) assuming x is positive.\nAnswer: x**(716\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 = -1. Suppose -3*d - 2 = 3*b - 23, -5*d + 3*b - 5 = 0. Suppose v = -a + 6, 2*v - d*a = 2*a + 6. Solve h = 3*z + 7 + v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-6)\/87 - -15*(-6154)\/(-51765).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*y**3 - 21834*y**2 - 20702*y + 1002 = 0. What is y?\nAnswer: -167, -1, 3\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u**2 + 11*u - 24. What is the units digit of i(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283.0933706 rounded to 1 dp?\nAnswer: 283.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-16 - -10) - (5 - -3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + s - 2, 46 = 4*o - 5*s. Suppose -7*t - 84 = -o*t. What is the biggest value in -0.3, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3509664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2447922 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -263, -856, -2009, -3908, -6739, -10688?\nAnswer: -15941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2160634 is divided by 308?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 103. Calculate r(8).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421880 = -16*q + 420552 for q.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -357106, -356183, -355272, -354379, -353510?\nAnswer: -352671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 6:16 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -337 + 3*n + 306 - 2*n + n to the form f + x*n and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4945 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4\/9, -0.051, -3, -2\/5 in descending order.\nAnswer: 1, -0.051, -2\/5, -4\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404695693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/3, -0.269?\nAnswer: -0.269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 9*b + 8. Suppose 2*x = 3*n - 68, -2*n + x + 28 = -17. Suppose 5*c = -23 - n. What is the remainder when d(c) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -333442, 67, 0.4?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60244704 a multiple of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -350, -589, -828?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4*(-16)\/(-12). Factor m**2 + m - 3*m - 1 - m**3 - l*m + 5*m.\nAnswer: -(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 16 = 2. Let s(v) be the second derivative of 5\/2*v**q + 1\/3*v**3 + 5*v + 0. Calculate s(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**3\/3 + 6931*y**2\/3 + 2856328*y\/3 + 298203836\/3 = 0 for y.\nAnswer: -614, -791\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/3)\/i)\/(i\/i**(2\/3)*i))**(-14\/9)*(i**(-2\/5))**23\/(i**(-3\/8)\/(i\/i**(-2\/7))) assuming i is positive.\nAnswer: i**(-25637\/7560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 637739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + -10 + 2 + 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44440194.\nAnswer: 2, 3, 7406699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.072269 + 325.562269. Round l to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) - (-5)\/15. Let v = 2 + t. What is the second derivative of 3 - 3*u**v - 2*u - 4 + 1 wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 2 - (-44 - (-32 + 1))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 9, -14*w + 10*w - o + 6807 = 0. Let m = 2570 - w. What are the prime factors of m?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 48*z**3 - z**2 - 10*z + 3. Let o(i) = 73*i**3 - i**2 - 14*i + 4. Calculate 5*o(d) - 7*w(d).\nAnswer: 29*d**3 + 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70865\/27 + 2625. Let y = -64008\/31 - -812781\/310. Let n = y + -1670\/3. Calculate the common denominator of x and n.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -41*d**3 + 4*d**2 + 3*d - 2. Suppose -29*y + 6 = -32*y. Is 14 a factor of f(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.039342 - -0.039384266. Round t to 7 dps.\nAnswer: 0.0000423","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 584 divide 11352269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 14) to base 2\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 9*w**2 - 10*w + 17. Let u be r(8). Solve q + 0 = -u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 10*y - 6. Let s be v(-7). Let z = 46 - s. Calculate the remainder when z is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -45, 26, -1 in descending order.\nAnswer: 26, 0, -1, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2749176?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.2728 - -2.072848. Let p = s + 0.2. What is p rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/13*(10\/20)\/(171\/6)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = m - 3*z, -3 = -m + 4*z - 18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-3) - 1 - -49. Let g be 0*(6 + o\/(-8)). Solve g = -9*j + 16 + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6046 (base 11) in base 16?\nAnswer: 1f64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 17 + 7 = 0. Let k = u + 29. What is the smallest common multiple of k and 10?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(7 - 4) + 5. Let -2\/5*g**3 + 2\/5*g**v + 2\/5*g - 2\/5 = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 13541*w - 1223948. Determine t(-91).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nuucycuuf. What is prob of picking 2 u and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/17)\/k*k*k**(-2\/11)*k)**(-1\/5)*k\/((k*k**(-2))\/k)*(k**2*k)\/k*(k\/k**1)\/k*k*k**(-1) assuming k is positive.\nAnswer: k**(3609\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 10*u - 6. Let v(s) = s - 15. Let i be v(11). Let y = i - -32. Calculate the remainder when y is divided by z(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r. Let j(c) = -5288*c**2 - 4*c. Give v(j(g)).\nAnswer: -21152*g**2 - 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, x: 3, d: 1, k: 5}. Give prob of picking 4 k.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -15*k + 1. Suppose -2*d + 36 = 2*d. Let o(t) = 7*t. Let c(p) = d*o(p) + 4*z(p). What is the derivative of c(l) wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 577772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 111.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.0204, 12, 0.01?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 4)*(-42*m**5 + 4*m + 24093*m**4 - 24093*m**4).\nAnswer: 42*m**5 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c*l**3*v + c*l**3 - 6*c*l**2*v - c*v - 10*l**3*v + 53*l**3 + 16*l*v wrt l.\nAnswer: -6*c*v + 6*c - 60*v + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73642.4758 rounded to the nearest one hundred?\nAnswer: 73600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 202*q**2 - 200*q.\nAnswer: -2*q*(q - 100)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -5, 4, 4\/5, -32 in decreasing order.\nAnswer: 4, 4\/5, 1\/3, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeleeele. Give prob of sequence lele.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 13*n**3 + 7*n**2 - 13*n - 25. Suppose 6440*r = 6431*r + 63. Let w(o) = -4*o**3 - 2*o**2 + 4*o + 8. Calculate r*w(f) + 2*x(f).\nAnswer: -2*f**3 + 2*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2119*f**2 - 418*f**2 - 146*f**2.\nAnswer: 1555*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2 - 0) - (194 - 183)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*v - a, -a + 2 = 4*v + 4*a. Solve 2*g = -v*j + 9, 0 = -0*j + 3*j + 4*g - 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -9, 10, 0.0634?\nAnswer: 0.0634","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5\/5 + 58)*7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 7*c + 2. Let p be b(-7). Let g be (-88)\/(-72) + 2\/(-9). Differentiate 0 - 2*z + p - g with respect to z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 7*z**2 + 7*z + 3. Let i be b(-5). Let r be ((-9)\/i)\/((-2)\/(-24)). Sort -4, 4, r in decreasing order.\nAnswer: 4, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(539) + 1 - (2 + 0 + sqrt(539)))**2.\nAnswer: 28*sqrt(11) + 2157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*c + q + 1, -c - 9 = -4*q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 5*n + 150240 + 1308558, -q = -n + 486266. Let b = -1486266 - q. Round b to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -41*h**2 - 51*h - 8. Let k(j) = 5*j**2 + 6*j + 1. Calculate -51*k(n) - 6*u(n).\nAnswer: -9*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (546\/(-8918))\/(3\/7)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4760 or -4759?\nAnswer: -4759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*c*k**5 - 5*c*k**3 - 13*c*k + 2*c + 24*k wrt k?\nAnswer: -1280*c*k**3 - 30*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -16*w + 5. Let i be y(2). Put i, -3\/7, -0.1 in descending order.\nAnswer: -0.1, -3\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 56, -1\/135, -2\/7?\nAnswer: -1\/135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54.007 - -0.007. Let o = k + 54.0224. Round o to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:53 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/sqrt(54)*-6)\/((sqrt(80)*6 + sqrt(20))\/sqrt(10)).\nAnswer: -2*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 0*x + 1\/3*x**4 - x**2 + 1\/3*x**3 + 0 + 7\/15*x**5. Is d(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssssscsssassuss.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60)\/(-8)*(57 - (2 + -5)). What is the first derivative of -5*i + i**3 - 7 - i**3 + 438*i**4 - v*i**4 wrt i?\nAnswer: -48*i**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - z + 328, -3*z + 212 = -2*k - 4*z. Let b = k + 112. Put -8, b, -1, 1 in descending order.\nAnswer: b, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -12*c + 14*c. Is (-6)\/(15\/c - 6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 102 = -0*i - 2*z, 0 = -2*i - z + 87. Calculate the remainder when i is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -495, -1037, -1701, -2433, -3179, -3885?\nAnswer: -4497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -21506, 2, -4 in decreasing order.\nAnswer: 2, -4, -21506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1336, -1423, -1576, -1801, -2104?\nAnswer: -2491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 53. Suppose 5*i - 262 = -5*d - 32, -d + 5*i + 64 = c. Suppose -d - 131 = -2*p. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18, 34, 70, 132, 226, 358, 534, 760?\n\"Answer: n**3 + 4*n**2 - 3*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853 is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 5. Suppose -v*h + 3*h = -k + 29, 3*k - 65 = 4*h. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 - 26*g**2 + 2*g - 5. Calculate the remainder when d(13) is divided by 1148\/98 + 2\/7.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 0 + 0 + (-3*f - 2*f + 7*f)*(2 - 2 + 2*f) + 2*f**2 + 24*f**2 - f**2 + (-5*f**2 + 2*f**2 + 2*f**2)*(2 - 5 + 1).\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 219973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -2, -4, 5, -19\/34?\nAnswer: -19\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17264835 and 1215?\nAnswer: 466150545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 146949 and 139080.\nAnswer: 111681240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52992972.\nAnswer: 2, 3, 937, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.9 (c) 0.03 (d) 4 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -22216*y + 2. Let f(u) = -2*u**2. Determine f(x(t)).\nAnswer: -987101312*t**2 + 177728*t - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -267 + 184. Let n = 77 - p. Suppose -3*k = k - n. What is the remainder when k is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*f + 6*f - 9*f)*(f - 5*f**3 - f) to the form b*f**2 + p + j*f + q*f**3 + o*f**4 and give o.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1 (c) 5\/19 (d) -190\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-425) - 1968318\/(-16830)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -670901.9 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -147 - 105. What is the common denominator of -38\/77 and (3\/((-81)\/30))\/(z\/(-8))?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 0.485?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, 2\/5, -243, 143 in increasing order.\nAnswer: -243, -1, 2\/5, 8, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 45, 111, 223, 393, 633, 955?\nAnswer: 1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 130945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*f - 31*f - 190. Let n = -2\/4511 - 266099\/112775. Calculate the common denominator of f and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -18. Suppose 0 = -2*k + 5*s + 11, k + m*s - 5 = -2*k. Solve 0 = -k*p - 3*l + 2*l - 4, -4*p + 3 = 3*l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 10110?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-21) + (-60)\/(-70). Suppose -4*p - 5*c = -5 - n, -5*p - 3*c + 1 = 0. Suppose 2*v = 10, -2*y + v = 2*v - 9. Sort p, y, 1.\nAnswer: p, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1164378 divided by 3.\nAnswer: -388126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*k = -l + 4*l - 39*k - 40, -13*l + k = -70 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-312)*(18 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 403 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**6\/120 + 2*g**5\/15 - 5*g**4\/12 + g**3\/6 + 4*g**2. Let r be w(-9). Suppose r*k - 5*k = 50. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 436 divided by -2.\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -3036401?\nAnswer: -3036400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 443 - -359. List the prime factors of p.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (7 + -17 + -4 + (-1 - -10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 3 + 46 + i)*(5*i**3 - 3*i**3 - 5*i**3) as m*i + j + h*i**2 + r*i**3 + w*i**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 7. Let h be o(-8). Let w(l) = -36*l - 1. Is w(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 + 9)*1*10. Let b(v) be the second derivative of -5\/3*v**3 + 0*v**2 + 1\/12*v**4 - 19*v + 0. What is b(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 36 (b) -10\/7 (c) -149\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 630 divide 452475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 552911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (846\/(-188))\/((2\/(-4))\/(-1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**2 + 6*n - 10. Let o(c) = -2*c**2 + 6*c - 10. Let j(b) = 3*g(b) - 4*o(b). Let i be j(-7). Put -2, i, 0 in increasing order.\nAnswer: -2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t + 2*t - 3*t)*((2*t - t + 0*t)*(1 - 1 - t) - 275*t**2 + 2089 - 2089) to the form n*t**3 + x + o*t**2 + w*t and give n.\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -242363 (base 7) in base 11?\nAnswer: -30148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9555)\/(-819) - (2 - (-4)\/(-3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/70 + 209\/(-140) and 66\/95.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/(-190))\/((-1550)\/(-14725)))\/((-564)\/8).\nAnswer: -2\/235","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*v - 3008 = 0, 6*v - 2*v - 12 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1124*k - 351 = -2340 - 3631 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 482022 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/3915 and -137\/30?\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 10. Suppose -3*n - 5 = -k. Is (0 + n)\/((-4)\/596) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -452991, -1811933, -4076823, -7247661, -11324447, -16307181, -22195863?\n\"Answer: -452974*d**2 - 20*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*k + 7*k + 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9954 + 495734.537?\nAnswer: 495737.5324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 0*q + 0*q**5 + 0*q**4 - 88 + 0*q**2 - 17*q**6 - 185\/3*q**3. Find the third derivative of b(p) wrt p.\nAnswer: -6120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 3*w = 4*y - 20, 3*y + 4*w - 15 = 0. Suppose -20 = -y*f - a, -4*f - 3*a + 28 = 1. Solve -2*s + f = -2*g - 5, 3*s + 4 = -5*g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/9 of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 45*r - 2. Let m be s(2). Calculate the greatest common divisor of 22 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(175) + sqrt(175))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - (1*(sqrt(70) - -2*sqrt(70)) + sqrt(70)) - (sqrt(70) - (sqrt(70)*-1*-5 - sqrt(70))))\/(-1*sqrt(160)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 516, 1293, 2610, 4485, 6936, 9981?\nAnswer: 13638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llww when four letters picked without replacement from vvlvvvvvvwvlwvvb.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**3 - 14*k**2 + 15*k - 9. Let u(z) = z**3 + 2*z**2 - 2*z - 1. Let o(a) = g(a) + 3*u(a). Give o(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/51 - 2\/17. Which is the third biggest value? (a) 0.2 (b) t (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.8 + 4.4. Let p = 7.3 + l. Which is the nearest to 0? (a) p (b) -0.4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s - 4. Let v be i(5). What is the highest common divisor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g - 4*u + 32 = 0, -36005*u = -2*g - 36009*u - 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 + 4*b - 9. Let u(j) = 2*j**2 + 3*j - 10. Let m(c) = 4*u(c) - 3*y(c). Give m(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -82.7. Round i to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 2. Determine z(20).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 6*m - 2. Let g(b) = 2*b**2 + 13*b - 3. Let u(c) = -2*g(c) + 5*q(c). Suppose -19*x + 834 = 5432. Let i = 236 + x. Calculate u(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -229 - -224. Let g be k + 2*468\/184. Which is the second smallest value? (a) 0.1 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16140 - 12397. What is the highest common factor of 38 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.4594498 kilograms?\nAnswer: 459449.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + -8 - 4) + -8 + -2 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 - 3775.63.\nAnswer: -3775.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03087 + -50.75587. Round y to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15982, -15978, -15972, -15964, -15954, -15942?\nAnswer: -15928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181.6840273 rounded to 3 decimal places?\nAnswer: 181.684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*y - 464 + 8*y**2 + 44*y + 464 wrt y.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250561549?\nAnswer: 7, 1753, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*l + 57*l + 572 = 0. Let w be 20\/11 + 0 - (-52)\/l. Suppose -m + 2615 = 5*g - 875, 0 = w*m - 3*g - 6928. What is m rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -14. Calculate the smallest common multiple of j and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32400 + 45691. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -263 - -1123\/4. What is the common denominator of n and 59\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/2 and 179\/930.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4900?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 893, 1733, 2403, 2819, 2897, 2553?\nAnswer: 1703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144653*l**3 + 23737*l - 2.\nAnswer: -867918*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-10)*(-180)\/72\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 2:06 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c - 4. Suppose 4*l = -3*h - 27, -3*l + 3*h - 1 = -7. Let i(b) be the third derivative of -b**4\/12 + b**3\/2 + 3*b**2. Give l*j(n) - 4*i(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 6*q + 9. Suppose -c + 4*n - 3*n = -5, 0 = -c + 2*n + 8. Suppose 0 = -c*f + t + 18, 5*t - 22 = -11*f + 7*f. Give i(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*u + 276 = -108. Let x(c) = c**3 - 8*c**2 - 11*c - 17. Let l(o) = o**3 - 5*o**2 - 7*o - 11. What is u*l(k) + 5*x(k)?\nAnswer: -3*k**3 + k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001000011010 + 1?\nAnswer: 111001000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (2 - -3) - (9 + -3 + -7)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z + 33. Is (-1461)\/z - (-26)\/143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + z - 7, -4*z - 3 + 23 = 0. Suppose -3*c - 2*c - 3*n + 200 = 0, -4*c + u*n = -138. What is the remainder when c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1643, 1642, 1641, 1640?\nAnswer: 1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 6410.\nAnswer: 12820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 65\/(-26)*108\/55\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**4\/7 + 3084*p**3\/7 + 84696*p**2 - 614512*p\/7 - 3575904\/7 = 0.\nAnswer: -386, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59 and 25.\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 + 507 = 5*o. Suppose -5*s + 6*r + o = 3*r, -3*r - 81 = -3*s. Suppose -3*z + 53 = -61. Calculate the remainder when z is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10029 by -1866.\nAnswer: 3343\/622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/4 - 1877498*c - 3524998740004 = 0. Calculate c.\nAnswer: -3754996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 216872225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w - 2. Let d(j) = -18*j - 6. Let v(n) = -3*d(n) + 8*f(n). Differentiate v(s) with respect to s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2688083?\nAnswer: 41, 65563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2340\/(-105))\/((-6)\/21). Let 20*n + 2*n - 18*n + h + 15*n**2 + 197*n = 0. Calculate n.\nAnswer: -13, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9*(-3 - (14 + -4)). Let v = -69 - x. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -578.664 - -579. Let k = -16736403.33600189 + 16736403. Let o = k + g. What is o rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1722 is divided by 718.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 6:06 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -3*y**4\/4 - 3*y**3 - 9*y**2\/2 - 3*y - 16. Suppose v(g) = 0. Calculate g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 24*v**2 + 3*v - 9. Suppose 2*r + 2*q - 58 = 0, 2*r + 0*q - 43 = q. Calculate the remainder when 123 is divided by l(r).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11719 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*h + 164*h - 16 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/9 - 26422592*a\/9 + 87269170999808\/9.\nAnswer: 2*(a - 6605648)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-78)*(-10)\/165*-11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -27. Let u = g + -7. What is the second biggest value in 0.4, u, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + -2 + (sqrt(320) + 0)**2 + ((2*sqrt(20))**2*-3 - (sqrt(100)\/sqrt(5) + 5))).\nAnswer: -10*sqrt(5) + 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34403.\nAnswer: 34403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 6 - 2 = g, 3*u + 4*g = 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y + 389 = 128 - 139 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence saa when three letters picked without replacement from sasa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1411172 divided by 6.\nAnswer: -705586\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2761 divided by -1.\nAnswer: 2761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 769.4 + -769. Let z = 1 - -3. Which is the third smallest value? (a) x (b) -1 (c) -2\/21 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16640 by 1040.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.326 and -15?\nAnswer: -229.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-3 + 2 + -17 - (-12 - (-9 + 5))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 14*z**2. Suppose -3*r = -2*t + 87, 2*t - 5*r - 29 = 56. Let c(k) = -37*k + 5*k**2 + 82*k - t*k. Calculate g(c(h)).\nAnswer: 350*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -3\/11 (c) 3 (d) 31 (e) -2\/3 (f) -1223 (g) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42895210, -42895219, -42895228?\nAnswer: -42895237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 + 0*o + 8*o**2 + 0*o.\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3 - 36*x**2 + 33*x + 70 = 0. Calculate x.\nAnswer: -1, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 27*x**2 + 35*x - 1. Let u(k) = -k**3 - 30*k**2 + 39*k. Let z(r) = -5*u(r) + 6*v(r). What is z(-13)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 1:19 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(8\/5)\/(g*g**(6\/7)*g)*g**0\/g**(3\/7) assuming g is positive.\nAnswer: g**(-59\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**19)*g**(4\/3)\/g assuming g is positive.\nAnswer: g**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3003\/1340 - 215\/67. Find the common denominator of -139\/30 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/350356 and -25\/9.\nAnswer: 3153204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256*-166192.\nAnswer: -42545152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14939?\nAnswer: 14939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -247 - 97. Let x = c - -190. Let j = 47 - x. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 6*l - 4*s + 8, 0 = -3*l + 2*s - 6. Let h(c) = -2*c**2 - 10*c - 2. Let f be h(l). Solve -5*m = -3*m + f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7823627 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001923040548 rounded to 6 decimal places?\nAnswer: 0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 211 + -147. Let k(p) = p**2 - 6*p + 2. What is the least common multiple of k(6) and b\/3 + 2\/3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 15*v**2. Let g(f) = -20*f**2. What is a(g(o))?\nAnswer: 6000*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55.8 + 51. Let z = l - -5.1. Which is the nearest to 2\/9? (a) 5 (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 1. Let w(o) = 55*o**3 - 3*o**2 - o - 3. What is -w(m) - 3*y(m)?\nAnswer: -55*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 366743, 366746, 366749?\n\"Answer: 3*i + 366740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 76*m**4 + 777 + 402*m**4 + 213*m**4 - 235 wrt m.\nAnswer: 2764*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21388)\/(-32082)*-38*(-6)\/(-2)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 5*d**2 - d + 1. Let f be r(-5). What is the common denominator of 13601\/696 + 56\/(-4) and ((-3)\/f)\/((-88)\/(-92))?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 6:57 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 272 + 314. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*-1 + sqrt(77) + sqrt(77) + sqrt(77) + -1*sqrt(77)*3)\/(sqrt(99)*-1*-4*-4).\nAnswer: sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**5\/30 - m**4\/12 - m**3\/6 + m**2. Let a = 2 + -3. What is the units digit of z(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 329 = 308. Let q be (432\/140)\/(-3) - (-21)\/j. Which is the smallest value? (a) 1\/3 (b) -0.3 (c) q (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/3 and 74\/231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1794228 divided by 14\nAnswer: 897114\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -6. Let q = -13\/90 - 1\/45. Suppose -6*c - c = 7. What is the smallest value in c, q, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 6\/7, -1.3, 1.36, 1\/4 in decreasing order.\nAnswer: 6, 1.36, 6\/7, 1\/4, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -33404202 (base 6) in base 12?\nAnswer: -409662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 55881, 447048, 1508789, 3576390, 6985137, 12070316, 19167213, 28611114?\n\"Answer: 55881*n**3 + n**2 - 3*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/133, 1148, 4\/3?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 12*h - 0. Suppose -7*n = -h*n - 12. Solve a + n*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 14. Is (2\/4)\/(m\/(-444)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 734672*a**2*n**3 - 2*a**2*n**2 + 2*a**2*n - 7*n**3 + 6919*n - 235 wrt n.\nAnswer: 4408032*a**2*n - 4*a**2 - 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i - 1. Let u be t(-2). Suppose 2*b = 5*m - 15, -5*m + u = -2*b - b. Suppose 0 = 3*h + 5*q + 6, -2*q - 24 = -5*h + q. Is m smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272 + 202 = -8*y - 6*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25 + (-9 - (-18 + 10)). Let m be 114*((-3)\/6 - -1). Let n = m - -3. Calculate the greatest common divisor of n and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12864 and 128?\nAnswer: 25728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 + -193 + (-188)\/(-2) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10213251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 181588103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 2. Let i be z(4). Let q be (-18)\/(-33) - (-11 - 5915\/(-539)). What is the second biggest value in 13, i, 0.5, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1663.8 + 1525. Let u = r - -137. Let n = u + 1.7. Is n not equal to 6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 267939?\nAnswer: 267937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 11642\nAnswer: -69852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*s + 11, 3*s + 13 = -v - s. Let u be (-12)\/(-30) - (-7)\/v. List the prime factors of 0\/(4 + u) - -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103846667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*j + 2. Suppose -4*l - j = -13. Solve l*q = -3*k - 8, -3*q - 3*k = 2*k + 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 9008966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 11*a**2 - 12*a - 9. Give i(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/1)\/(21\/(126\/(-12))). Let g(y) = -2*y**2 + 4*y - 3. Let r(x) = -x**2 + x. Determine q*g(w) - 4*r(w).\nAnswer: 2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10780)\/1960*9\/11?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, 0.13, -31, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657 + 2627 = 10*o. Calculate the remainder when o is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*v + 1 = -5, -5*g - 5*v = -15. Let h = g - 1. Solve -5*k + 6 = -h*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 10:26 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7114431 to the power of 1\/2, to the nearest integer?\nAnswer: 2667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(2\/41))\/h*h)\/(h\/h**(7\/2))*(h*h**(2\/53)*h)\/(h**(-1\/4)*h))**(-2\/161) assuming h is positive.\nAnswer: h**(-41191\/699706)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 598317 and 221307.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = 21*h - 502. Suppose 0 = 51*l - h*l - 32620. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (1 - 0)) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 11:44 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - b + 6*b = 12, -5*q - 15 = -2*b. Let y(t) = 22*t**2 - 90*t + 3. Let a be y(4). Calculate the least common multiple of 696\/60 - q\/a and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 666 times 209894\nAnswer: 139789404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102493, 102479, 102465, 102451, 102437?\nAnswer: 102423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - 201*u - 2969. Determine h(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*d**2 - 93*d**2 + 274*d**2 - 96*d**2 + 86*d**3 - 137*d**3.\nAnswer: -51*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15168975, 15168976, 15168977, 15168978?\nAnswer: 15168979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9039684361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-15)*(1581\/(-217) - -7). What is the third smallest value in -2\/3, -1\/85, 3\/22, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddud when four letters picked without replacement from {u: 1, d: 3, w: 3, c: 1, v: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*i + 21553 = 107*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + -6. Let a = 65 + m. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.033 - -0.03299894. Round d to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 347 + -348. Which is the nearest to 1? (a) -2 (b) 1.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + (3 + -4 - 1). Is 1 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l**3 - 5*l**2 + 5*l**2 + 4*l**2 + 8 + 0*l**3 - 5*l**2 + 2*l to b*l**2 + k*l + c*l**3 + g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 62, -2 in decreasing order.\nAnswer: 62, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from {b: 2, l: 1, a: 1, c: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -13*u**6\/360 + 6*u**3 + 23*u**2. Let s(v) be the first derivative of j(v). Let w(n) = -3*n**2. Give s(w(d)).\nAnswer: -117*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 856 or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.45.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8806 + 7.7758. Let z = k - 6.1. Let o = z + -0.8. What is o rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Let s = 113 - y. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20979 = 101*g - 47095. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkcc when four letters picked without replacement from {c: 10, k: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11796306 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 10*k - 1. Let p be b(1). Let w = -8 - -2. Let c = p + w. Solve -5 = -4*v + c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 - -86. Suppose 3 = 5*y - 2. Which is the closest to y? (a) q (b) 2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*z + 5*d - 37, -4*z - d + 124 = 0. Suppose -3*m = 0, 2*r - 3*m + 3 = -3. Let v be (1 + r)*(-5)\/z. What is the closest to v in -1\/3, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 11, -0.09, -3\/2, 345897?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 497, 950, 1351, 1712, 2045?\nAnswer: 2362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11037 by -3.\nAnswer: -3679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 210, 365, 520, 675, 830?\n\"Answer: 155*u + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogooogogggogog. Give prob of picking 3 g.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 3475*h - 3477*h - 2*i, -92 = i + 3*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n + 0*n + 3*n)*(2*n**2 - 2*n**2 + n**3) + 4*n - 4*n + 2*n**4)*(-2*n - 2*n + 3*n).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -13*z + 2. Is z at most as big as 2\/371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3970530 divided by -3?\nAnswer: 1323510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i - 28. Let j(m) = m - 8. Let y be j(10). Let a(n) = 1. Let r(l) = y*a(l) + f(l). Let z(c) = -2*c - 9. Let k(o) = -4*r(o) + 11*z(o). What is k(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27272 divided by 27272\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -830*t**3 - 61422*t**2 - 151*t - 166. Determine n(-74).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1) - (-102 + -3). Calculate the common denominator of 1\/(-1) + h\/36 and -2 + 19*(-5)\/20.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23493431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 53, 38, 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 0.1363.\nAnswer: 0.05452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6*2\/1. Suppose -z - 2*x = 4*z + 23, 5*x + 8 = 4*z. What is the closest to -1\/3 in z, i, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 96\/(-2160) + 4\/9\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*y - 27*y + 44 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3520*v + 25. Let q(x) = -440*x + 3. Let a(g) = 25*q(g) - 3*r(g). Let b be a(2). Round b to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252169636 divided by 6749?\nAnswer: -37364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 9*f + 8. Let a be (-3)\/15 - (0 + 117\/15). Calculate the remainder when 61 is divided by r(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9.64, 3, 2, 1\/2, -4 in decreasing order.\nAnswer: 9.64, 3, 2, 1\/2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13332 + 3?\nAnswer: 20001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25325*w - 12672*w - 12702*w.\nAnswer: -49*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/3 + 36928*v\/3 + 85229824\/3.\nAnswer: 4*(v + 4616)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 516860118 by 172286706.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0497 and 0.07901503.\nAnswer: 0.02931503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, 5, -13315, 0, -1 in decreasing order.\nAnswer: 5, 0.13, 0, -1, -13315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.561 - -1.061. What is the second biggest value in 2, 116, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38002192 divided by 647.\nAnswer: -58736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 747.3391 to the nearest ten.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*a**3*g*n**2 - 6*a**3*n**3 - 2*a**2*g*n**3 + 16*a**2*n**3 + a*n**2 - 2*g*n**3 wrt a?\nAnswer: -42*g*n**2 - 36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2091 and 6519?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 - 34*x + 998. Let u be t(25). What is the greatest common factor of u and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -17*i - 318. Let n be z(-19). Let x(r) = -r - 4. Suppose -24 = 7*s - 3*s. Let d be x(s). Sort -1, n, d.\nAnswer: -1, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + -4 + -1*sqrt(98) - (sqrt(98) - (5 + 1 + sqrt(98)))*1).\nAnswer: -7*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24460*u**2 - 24471*u**2 + 48934*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 0*g - g)*(-41 - 102 - 4).\nAnswer: 147*g - 294","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22996161 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -9*s**2 + 20. Let x(f) = 3*f. What is x(i(q))?\nAnswer: -27*q**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/328)\/((-104)\/24 + 4 - 1\/(-2))\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + sqrt(243) + 1 + sqrt(243)*-1 + -3)**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101485189 a multiple of 1477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92061\/455 - -239\/455. Let m = o + -6177\/28. Let n = 4\/163 + -7065\/2282. What is the common denominator of n and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -44.85, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 961 + 296. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 3727 + 5979 + 5071 + 6*l.\nAnswer: 2*l + 7323","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 2021?\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.23 * -3.\nAnswer: 57.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 - 71. Are -111 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 18*y**2 - 30*y - 12. Let f(t) = -t + 0 + 5 - 7*t**2 - 8*t + 21*t. Let p(d) = -12*f(d) - 5*u(d). Find the second derivative of p(k) wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, -0.3, -1.1, -0.03?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944192 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43920 a multiple of 549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 890388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42976.25mg to grams.\nAnswer: 42.97625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 2257358.\nAnswer: 10\/1128679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 56?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4 - 15*x**3 - 18*x**2 = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17321.\nAnswer: 17321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*g = 30. Suppose -6*y = -y - g. Let j = -791\/4 + 199. Which is the closest to -1? (a) y (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-32))\/((-200)\/(-45))*(-8)\/(-18)*3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 3*c**2\/2 - 5*c + 12. Let o(u) = -2*u**2 + 23*u + 6. Let x be o(0). Calculate n(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a meter in centimeters?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -77, -803, -2771, -6599, -12905, -22307?\n\"Answer: -103*o**3 - 3*o**2 + 4*o + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3079 = -8*k + 7*k + 2*h, h = 4*k - 12316. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2519275*f**3 + 6*f**2 - 100852689 wrt f.\nAnswer: -7557825*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from elqyf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 0.4. Let j(i) = i**2 + 6. Let a be j(0). What is the second smallest value in a, -0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 42*g - 1 - 5 + 5 as f*g + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -228 (b) 647\/6 (c) 1 (d) -1\/6 (e) 4 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 - 3. Let b be -2*(2 + (-2 - 1)). Calculate the remainder when o(b) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -903361*d**3 + 3609*d + 32?\nAnswer: -5420166*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/187?\nAnswer: 3\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**4\/3 - 15878*s**3\/3 + 19422392*s**2\/3 + 6479424*s = 0.\nAnswer: -1, 0, 1512, 6428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**4 + 103*v - 27*v - 11*v**3 + 104*v + v**2 + 14*v**3 + 189*v to o + k*v**3 + r*v**4 + z*v**2 + c*v and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -167514.69 rounded to the nearest one hundred?\nAnswer: -167500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**3 - 2*x. What is k(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 3 + 4*u - 2*u)*(2 - 3 + 2).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -21*d**2 - 25*d - 79. Determine f(-5).\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 2001010020232?\nAnswer: -2001010020232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 60, 0, 3 in increasing order.\nAnswer: 0, 3, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 2.8, -257 in descending order.\nAnswer: 2.8, -1\/5, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30042 is divided by 9975?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*z + 16 = 0, 0 = i - 2*z + 5 + 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 9:29 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 12:26 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 406350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 2*i - 2*i to v*i + z and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s**2. Suppose 4*f + 4*x = -36, 5*x + 15 = -3*f + f. Let v(m) = m + 15. Let q be v(f). Let z(i) = -3*i**2 - 1 + q*i**2 + 1. Determine z(u(n)).\nAnswer: 98*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3178 and 28301679.\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -35*c - 9. Calculate the smallest common multiple of 8 and j(-3).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, -6 in decreasing order.\nAnswer: 10, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1923*h + 136 - 18347 - 6788 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqfsqsssqqqqq. Give prob of sequence ss.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-4 + -3 + (-8 - -12) + -3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2. Let g(u) = -95*u**2. Calculate m(g(v)).\nAnswer: -27075*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 958320480 less than -0.1039?\nAnswer: -958320480.1039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -54, 4, -36, -1 in descending order.\nAnswer: 4, -1, -18, -36, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a8 (base 13) to base 2.\nAnswer: 1010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (32 + (-3685100)\/90)*9*1\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/17)\/(y\/(y\/((y*y**(1\/9)*y)\/y*y*y))))**16)**(4\/9) assuming y is positive.\nAnswer: y**(-28736\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*r = 83, 2*b + 5*r = -109 + 276. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322212 - 1230?\nAnswer: 320322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-234)\/(-135))\/(-13))\/(6\/10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*v**2 - 15 - 16 + 31 as t + w*v + p*v**2 and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1054\/360 + (-10)\/(-45) and 3\/(-45)*87\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qggg. What is prob of sequence ggg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.16 - -0.14. Let u = 5.6688 - -0.3312. What is the nearest to u in -1\/4, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35.0000024 - -35. Round i to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*k = 3*k + 16, -5*k - 20 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 11*z**2 + z + 12. Let v be d(-11). Sort 6, -3, v, 4 in ascending order.\nAnswer: -3, v, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241b11 (base 14) to base 8.\nAnswer: 4552463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 272028165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -12. Suppose 156 - 2431 = -d*m. Suppose m = 2*z + z - 5*b, -3*b + 6 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + t - 5, 4*u - 4*t + 20 = -0*t. Suppose u*p = -h + 2*p + 146, p = -4*h + 575. Suppose -h = -7*x + 185. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -12, -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o - 3*o)*(-4*o**3 + 0*o**3 + 6*o**3) + 18*o**4 + 15*o**4 - 30*o**4.\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 + 3*a + 1. Let s(t) be the second derivative of 0*t**4 + 2*t + 3\/20*t**5 + 0 - 2\/3*t**3 - 1\/2*t**2. Give 5*m(g) + 4*s(g).\nAnswer: 2*g**3 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 15 - (-9 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*7\/(-42))\/((-6)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f**3 - 17*f. Let b(s) = 2*s + 2528928951*s**2 - 2528928951*s**2 + s**3. Suppose 0 = 5*w - 2*q + 265, w + 67 = 2*q + 6. Calculate w*b(h) - 6*n(h).\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4078.\nAnswer: 2, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = 7889 - 7745 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -13373 - 25022. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8063471 by -29.\nAnswer: 8063471\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -630*w**2 - 611*w**2 + 317*w**2 - 724*w**2 to a + t*w + z*w**2 and give z.\nAnswer: -1648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j. Let l(t) = 2*t. Let d = 0 + -1. Determine d*r(n) + 3*l(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576928328.\nAnswer: 2, 283, 254827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 16 = -8. Let i = l + 8. Suppose 6 = i*g + 2. Calculate the least common multiple of 11 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1495\/46)\/65*-1*110?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34230986, 34230988, 34230990, 34230992?\nAnswer: 34230994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77*l**2*z**3 + 2*l**2*z**2 - 2*l*z**3 + 2*l*z + 30913*z**3 + 678*z**2 + 948*z wrt z?\nAnswer: 462*l**2 - 12*l + 185478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-2 - (-3 - -5))) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 4*h**2 + 4*h**2)*(h + 7*h + 4*h) + (2 + 0 - 1)*(-h**4 - h**4 + 3*h**4).\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 0*c**3 + 0*c + 2*c**2 + 0*c**5 + 0 + 1\/15*c**6 + 11\/24*c**4. What is the second derivative of h(l) wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 6*c**2 - 5*c + 3. Let s be b(5). Let u be 6\/(-9) + 2\/s. Suppose -2*x - y + 50 = 2*x, -x + 5*y + 2 = u. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 + -49. Calculate the remainder when x is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1841 and 6995011.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7259 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/((-120)\/138) + (-820)\/(-32)?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 25*m**2 - 17*m + 16. Let g be y(5). Let u = -546 + g. What is the remainder when 37 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -201, 0, 3\/8, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-3\/4)\/k)**21\/(((k**(-3)\/k)\/k)\/k)**(42\/11) assuming k is positive.\nAnswer: k**(1239\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420458 is divided by 783?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 - 12 - 20361\/473?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -636162 rounded to the nearest ten thousand?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14372 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 8*f**2 - 9*f - 4. Let w be s(9). Let i(k) = k**2 + 6*k - 8. Let m be i(-7). Is ((-34)\/8 + m)*w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -34. Let g(b) = -6*b - 2. What is the remainder when g(v) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101\/550 + 9\/55. Let s = 33420187\/206515650 - 4\/375483. Let d = s - x. Which is the second biggest value? (a) 4 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1716\/(-1001)*7*(-2)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 204, 29, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002747 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -15*z**2 + 813*z - 7224 = 0.\nAnswer: 56\/5, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 123 + -126. Let t be 40\/(-18) + 4\/18. Let z = -265\/1179 - -1\/393. Which is the closest to -2\/3? (a) z (b) t (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/(-3))\/(-3*(-2)\/6). Let q = o - -44. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(sqrt(68) + 1) + (sqrt(68) + 1*sqrt(68))*4)**2.\nAnswer: -360*sqrt(17) + 10254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3195 and 3195.\nAnswer: 3195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - -11 - 4 - (-12 + -14 + 15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 22418 + 22427 = 0. Solve t = -6*w + 5*h + 8, -4*h = -3*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and 396090.\nAnswer: 237654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -2\/27, 6, 47, -1\/7?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40233108?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 5*c = 19, 153*c = t + 148*c + 21 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*v)*(-35 - 9 - 11)*(-3 + 0 + 2)*(-1 - 3 - 1).\nAnswer: -550*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 41*k**6\/15 - 29*k**3\/6 + 84*k. What is the second derivative of d(t) wrt t?\nAnswer: 984*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142 + 70 + 2*v + 72 - 18*v - 18*v.\nAnswer: -34*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 100318 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*w + 2*w - 20, 3*f + 60 = -4*w. Let p = w - -17. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0, -18, -13, -0.3, 1\/39?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 - 140*n + 152*n + 2*n**5 + 0*n**5 + (2*n + 0 + 0)*(10*n**4 + 4*n**4 + 8*n**4).\nAnswer: 46*n**5 + n**3 + 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 70\/15 - (-22724)\/(-4485)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-2)*(50\/(1400\/98))\/(15\/(-10))?\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21494 + 32304. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71 by -2.\nAnswer: -71\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 20*i + 738. Let v be n(39). Let l(q) = 13*q**3 + 3. Let y(o) = -12*o**3 - 4. What is v*l(x) - 2*y(x)?\nAnswer: -15*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27059, 27301, 27703, 28265, 28987, 29869, 30911?\nAnswer: 32113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {q: 6, o: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60772, 120973, 181174?\nAnswer: 241375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5168 + 51631\/10. Let w = -48520968 - -970690163\/20. Let f = -13536 + w. What is the common denominator of f and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*t**2 + 66*t**2 - 41*t**2 + 57*t**2 + (-t - 2*t + t)*(-316 + 316 + 6*t).\nAnswer: 110*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -12*u + 1. Let o(t) = 23*t - 3. Let k(v) = 3*o(v) + 5*w(v). Let z(m) = 120*m - 1 + 195*m - 312*m. Calculate -2*k(g) + 7*z(g).\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 14354, 11.9 in ascending order.\nAnswer: 2\/11, 11.9, 14354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -752478505.\nAnswer: -752478505.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (858\/130)\/(-11)*3\/(-6)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 1:19 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 410, 428, 3 in decreasing order.\nAnswer: 428, 410, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {u: 1, j: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = o - r, 2*o + 40221*r = 40224*r - 89 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 4 (b) -4 (c) -8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1106300 + 1651107. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (6 - 2))*(-3 + 2). Suppose -11462 = -5*m + 4*s + 51915, -4*s = d*m - 50716. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**5\/30 - 16*l**3\/3 - 37*l**2. What is the first derivative of g(u) wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*k**3 - 182 + 182 + (-k - k + 3*k)*(-5*k + 5*k - 2*k**2) - 4*k**3 + 5*k**3 - 3*k**3.\nAnswer: -25*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20630616.3 hours in weeks?\nAnswer: 122801.2875","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 50*y + 409. Let r be v(-57). Solve -6 = -r*x + 24 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 488 divide 615631168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m + 20. Let n(j) = -10*j - 42. Calculate -13*f(a) - 6*n(a).\nAnswer: -18*a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + (sqrt(1008) - (-2 + 6*sqrt(1008) + sqrt(1008))) - sqrt(1008))**2*-3.\nAnswer: -108876 + 864*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, a: 1, l: 11}. Give prob of sequence llap.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 0*r**5 + 0*r**6 - 37\/105*r**7 + 0 + 0*r**4 + 31\/6*r**3 + 26*r**2 + 3*r. What is the first derivative of j(d) wrt d?\nAnswer: -296*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 16*q - 14 = 0. Suppose -2 = -2*r, -q*p + 7 = -2*p - 3*r. Solve 5*y + 17 = p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 76\/(-10) + (-6)\/15. Let s(l) = -l**2 - 3*l. Let h(w) = -2*w**2 - 8*w. Let d(q) = u*s(q) + 3*h(q). Let t(m) = m**2. Determine t(d(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 463 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 700182277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1912 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -232861, -465722, -698583, -931444, -1164305, -1397166?\n\"Answer: -232861*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**5 - 201*u**4 - 94*u**3 + 74564*u**2 + 129336*u - 36992 = 0?\nAnswer: -16, -2, 1\/4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2 - 0. Let i(m) = 18*m**3 + 3*m**2 + 3*m. Let w be i(o). Calculate the remainder when (w\/4)\/(3\/(-4)) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53960063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f**3 - 2*f**2 - 3. Let s = -6024 + 6026. Let w(n) = -9*n**3 + 3*n**2 + 4. Calculate s*w(d) + 3*b(d).\nAnswer: 6*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/44, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*c + 427, 4*v + 0*c = 2*c + 1762. Suppose 9*o - v = 7*o. Let p = 317 - o. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*((sqrt(1872) - (sqrt(1872) + -2 + sqrt(1872))*2) + 3*sqrt(1872) + -1))**2*-5.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + -3 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 4. What is the common denominator of 8\/5 and k - 174\/(-27)*-3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -219 + 360. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sszzzczszsf. What is prob of sequence czss?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/574986933?\nAnswer: -2\/574986933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 9) to base 4.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1090850, 1090851, 1090852, 1090853?\nAnswer: 1090854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 9:15 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhuip. Give prob of sequence hu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 5:22 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 712106110 to the power of 1\/2, to the nearest integer?\nAnswer: 26685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2898*r - 100 = 5*q + 2897*r, -2*q = -3*r + 40 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4403 + -4478.32. Let h = 76 + l. Let w = 0.32 + h. Does 40 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 3*t + 20. Let g(s) = -10*s**2 - 4*s - 13. Let m(i) = 19*i**2 + 7*i + 26. Let w(q) = t*g(q) + 3*m(q). Is w(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1571688 divided by 3156.\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002221200221 (base 3) to base 12.\nAnswer: 678321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54620261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 - 2*l**3 + 5*l**3)*(-l**2 + l**2 - 2*l**2) - 2*l**5 - 2*l**5 - 21*l**5 - 22*l + 4 + l**4 + 22*l + 9*l**5 + l**2.\nAnswer: -22*l**5 + l**4 + l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19400 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, 13, 40, 89, 166, 277, 428?\n\"Answer: y**3 + 2*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 442 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27234303 is divided by 9078079.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 220*w - 8 + 229*w - w**2 - 456*w + 2*w**3 to the form z*w**2 + k*w**3 + q*w + g and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1224*a**4 - a**2 + 1 - 23*a**3 - 4*a**3 + 1225*a**4 + 3*a**2 - 2444*a**4 as m*a**2 + z*a + b*a**4 + q*a**3 + d and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4395019?\nAnswer: 1303, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 2*l + 2. Let q = 221 - 224. Let g(b) = -4*b**2 + 3*b - 4. Determine q*g(z) - 5*x(z).\nAnswer: 2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116676*l**3 - 1337*l**2 - 17216*l - 1406 wrt l?\nAnswer: -700056*l - 2674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2311100 (base 4) to base 16.\nAnswer: 2d50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -1.6. Let j = b - -0.3. Let c = j + 0. Is c smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 15, 2\/3 in decreasing order.\nAnswer: 15, 2\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(d - 5*d - 13*d) - 8*d - 8*d - 29*d + 19*d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/90*2\/((-4)\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - 10. Let d = 7.1 + g. What is d rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**2*v + 15*a**2 + 2*a*v - 13*v + 4 wrt a.\nAnswer: 4*a*v + 30*a + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004503035654 rounded to seven decimal places?\nAnswer: 0.0004503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 190939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 6*x**2 - 7*x + 2. Let p be h(-7). Suppose 2*s = q - p*s - 5, 5*q - 6 = s. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10010 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(0 + -4 + 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2866 + 328?\nAnswer: -2538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10180 divided by 24\nAnswer: -2545\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.7603 in -4, 2784, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 26*q - 66. Let o be k(15). What is the first derivative of -13*a + a - 31 + 9*a - 24*a - o*a wrt a?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3384341 rounded to two decimal places?\nAnswer: 1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24566 + -2?\nAnswer: 24564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 302 and 0.5?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 l, and 1 b when four letters picked without replacement from vwllbblwlblvwbb.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 148 + -161.4. Let v = -26.15803 - -39.55734. Let f = t + v. Round f to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-5)*104320\/(-11736))\/2?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 701 = -3*w - 2*v, 0 = 2*w + 3*v - v + 464. Let c = -153 - w. Let q be (-145)\/(-7) - (-2)\/7. What is the highest common divisor of c and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 35962907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.1 + -160.1. Let m = -28480981242 - -28480981093.00000093. Let v = z - m. Round v to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/18 and 157\/612270.\nAnswer: 612270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.1 + 1.6. Let c = 2.5 - -0.5. Let g = 2.7 - c. Put g, h, 0 in increasing order.\nAnswer: h, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 638 divided by 1.\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6146*u**2. Let i(r) = 7*r. Calculate i(o(g)).\nAnswer: -43022*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -717 divided by -4197.\nAnswer: 239\/1399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 1 - 1 + (0 + 5 - 4)*(-2 + 0 + 0) + 1 + 0 - 2)*(-3*n + 5 - 5)*(-5*n - 3*n - 3*n) as i*n**2 + r + p*n and give i.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45135815?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.065 times -20.3?\nAnswer: 1.3195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139187885 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 912 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1483, -787, -4563, -9839, -16609, -24867?\n\"Answer: c**3 - 759*c**2 + 2241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17168*f**2 + 15648*f + 4 - 4 - 15648*f.\nAnswer: -17168*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = 3*n, 2*n - 4*n + 7 = 3*h. Suppose 4*s - 16 = 0, h*m - 2*s + 2776 - 388 = 0. Which is greater: m or -475?\nAnswer: -475","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -8\/5, -1\/2, -1864, 1\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 3606*f + 18027. Determine b(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -19*p**3 - 5. Let q be (-15)\/12*680\/170. Let g(f) = 29*f**3 + 8. Suppose 3*w - 5*w - 16 = 0. What is q*g(s) + w*t(s)?\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500 = 4*r + 164. Solve -r = 31*o + 40 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34888875?\nAnswer: 3, 5, 7, 13291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 l, and 1 q when three letters picked without replacement from vevvqhvevqvhvblhv.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**3 + q**3 + 0*q**3 + (-q**2 + 2 - 2)*(1 - 1 + 2*q) + 1 - 4 + 15*q**3 - 14*q**3 as x*q**2 + b*q + g + d*q**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42.2 + -42.1. Which is the nearest to l? (a) 5 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 10:31 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12483 + 16966. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 9*u - 11. Let n be g(7). Suppose y - 258 = -n*h + 6*y, 3*y - 9 = 0. List the prime factors of h.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 7*a + 18. Let f(y) = -3*y. Let r(h) = 4*h. Determine a*f(g) - 2*r(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/4560437?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1733097?\nAnswer: 3, 89, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3886019 < 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -16740*h - 840. Does 40 divide f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/f**(3\/29))*f)\/f**(2\/5))**(2\/43))**21 assuming f is positive.\nAnswer: f**(-42\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Suppose 4*m - 15 = -m + 3*t, 0 = -2*t. What is i in -2\/7*i**m - 2\/7*i**g + 0*i + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 18765?\nAnswer: 18765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 244.\nAnswer: -21\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/308 and 143\/36?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-26) - 8547\/(-1443). What is y in -q*y**2 + y**3 + 0*y**2 + 2*y**3 - 21*y - 14*y + 26*y = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - 77. Let c(l) = -299*l**2 + 19*l - 11. Let d(q) = -150*q**2 + 10*q - 5. Let w(s) = x*d(s) + 6*c(s). What is the second derivative of w(a) wrt a?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-10 + 1 + 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 10 - 1. Let a be 11\/(825\/(-30)) + 27\/5. Suppose -3*k = 0, 42*k = -a*s + 46*k. Sort s, 37, -5, v in ascending order.\nAnswer: -5, s, v, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36931695 is divided by 9960.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321027 (base 8) to base 16.\nAnswer: 1a217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/5)*m**6)**(-2\/29))**(-50) assuming m is positive.\nAnswer: m**(680\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 365526 - -11?\nAnswer: 365540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 326?\nAnswer: 32.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 28 = 92. What is the highest common factor of p and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r + 10. Suppose 19*w + 4*w - 2*w = 189. Determine c(w).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 - 8*c**2 - 5*c**2.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -19*n + 156 - 162 + 0*n. Let v(f) = 10*f + 3. Let h(z) = -3*t(z) - 7*v(z). Let q(l) = -l - l - 2 - 4*l + 1. Calculate -3*h(k) + 7*q(k).\nAnswer: -3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 1, 3\/7, -44, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/((-230)\/(-40)))\/(((-2420)\/(-11))\/11)*4\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/429070 and -39\/8.\nAnswer: 1716280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1301833 is divided by 86788.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548 = 20*y + 148. Let w(i) = i**2 + i - 5. What is the hundreds digit of w(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 41*x + 6. Let z(r) = -r**2 - 82*r + 10. Give 5*v(m) - 3*z(m).\nAnswer: -2*m**2 + 41*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 8*x + 4. Let h(z) = -z**2 + 3. Let j = -5 + 2. Let l be h(j). Is 7 a factor of r(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004824 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 9*j**2 - j + 2. Let b be s(7). Let r(d) = -d**2 - 4*d + 1. Let k be r(-2). Suppose -2*g = z - 4*z + 112, 2*z - k*g = b. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 10. Let a be (-24)\/16*q\/(-3). Let o(l) = 0*l**2 - 3 - 4 + l**2 + a*l. What is o(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-9)\/6 - ((-11228)\/8 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5843961 decades to centuries.\nAnswer: 0.05843961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**4 - 2506836*o**3 - 12534096*o**2 - 10027264*o = 0.\nAnswer: -626704, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5472 divided by 4?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 8*r + 6. Let l(u) = u**2 + 9*u + 7. Let a(q) = -q**2 - 12*q - 16. Let j be a(-11). What is j*l(d) + 6*h(d)?\nAnswer: d**2 + 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**3\/18 + 7*c**2\/12 - 2*c - 82. Factor n(l).\nAnswer: -(l - 4)*(l - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0 - 2 - (8 + -19 + -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 14342288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 - 59 = 4*d. Let t be ((-4)\/(-10))\/(3\/d). Let k(u) = 64*u - 3259. Let y be k(51). Solve -3*z + t = 3*n - 4*z, -y*z = n + 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709634?\nAnswer: 2, 199, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4763 to two dps.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 = -0*i. Suppose -3*g + 87 = -0*n + i*n, 185 = 4*n - 5*g. Calculate the highest common factor of 18 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5428588020.\nAnswer: 2, 3, 5, 90476467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 188*v + 31554. Give n(-168).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (398*w**3 + 243612*w**2 - 243612*w**2)*(5 - 6 + 0)*(0 + 3 - 1) + (8*w**3 - 3*w**3 - 2*w**3)*(0 - 4 + 6).\nAnswer: -790*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -31227\nAnswer: 1\/31227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288572?\nAnswer: 2, 19, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5208250 divided by 166.\nAnswer: -31375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 1 + sqrt(288))*-1.\nAnswer: -24*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -27.6. Put -2, 1, j in decreasing order.\nAnswer: 1, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1053816 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 92 - 95. Let f(z) = -6*z + 9. Calculate the smallest common multiple of f(a) and 33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/4 - 13219*x**2\/4 - 19825*x\/2 - 6608.\nAnswer: -(x + 1)*(x + 2)*(x + 13216)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -297 + 299. Suppose -g*s = -s - 2*s. Is -0.035 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/((1386\/24)\/(-11) - -6). Suppose -w = 2*v + 11 - 7, v = 3*w + z. Is -9 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**31\/h)\/h*h)**(-2\/65) assuming h is positive.\nAnswer: h**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1465002?\nAnswer: 2, 3, 7, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -20.2. Let i = s + -0.20045. Round i to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 7:59 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 12*z. Let r be k(10). Let b be r\/6*(-3)\/(-2). Suppose -b - 27 = -w. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -307, -466, -629, -796, -967?\nAnswer: -1142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*o - 15. Suppose l**2 + l**5 - 2*l**2 + 3*l**4 - l**o - 3*l**4 + l**4 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 204, 273, 344, 417, 492, 569?\n\"Answer: i**2 + 66*i + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (110\/7)\/((2\/3)\/((-1302)\/(-279))). What is the second smallest value in 0.4, -0.1, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 893*m + 3136*m - 45410 = -98731 - 164245 for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6 + 0 = 0. Suppose -3 = -5*i - 4*u, -m*i - 5 = -0*i - u. Sort i, -3, -5 in increasing order.\nAnswer: -5, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyrr when four letters picked without replacement from kwrarrwraywgwrw?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222 = -14*f - 60*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1)\/l)**(-34\/5))**(-8\/13)*l*l**(4\/3)*l*(l*l*l*l**(-5))\/l*(l**(1\/3))**(-8) assuming l is positive.\nAnswer: l**(-1271\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27420*v**2*w - 4*v**2 - 19839 wrt w.\nAnswer: 27420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**4 + 11*f**3 - 2*f**2 + 11*f - 9. Let c(q) = q**4 - q**3 - q + 1. Let n(p) = 22*c(p) + 2*k(p). Find the third derivative of n(l) wrt l.\nAnswer: 432*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f - 2 + 2)*(-3*f - f + 5*f) - 7*f + 7*f - 4*f**2 in the form m*f**2 + p + x*f and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 29. Let p be (-3 - 13) + 4*-1. Let h = -20 - p. Solve 2*a - x - 4 = 6, -u*x - 20 = h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 18*p + 214. Let l be x(26). Suppose -l*s = -8 + 50. Let j be (-102)\/9 + (-1)\/(-3). Which is smaller: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 53159*l - 2126376. Calculate x(40).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 89*t**3\/2 - 41*t**2\/2 - 40*t. Is v(4) 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 227, 327, 427, 527?\n\"Answer: 100*o + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(168)\/sqrt(63)*-4*4)\/((sqrt(12) - sqrt(60)\/(sqrt(5) + sqrt(10)\/sqrt(2) + sqrt(5)) - sqrt(12)) + 6*sqrt(588)).\nAnswer: 32*sqrt(2)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 11468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 - -37 - -65 - 6?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -29*k - 281. Let r be d(-10). Suppose 3*s + w - r = 0, -19 = -3*s + 5*w - 10. Factor 0 + 1\/2*f**4 + 0*f**s + 0*f**2 + 0*f.\nAnswer: f**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhh when three letters picked without replacement from {h: 2, z: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -11*z + 4. Suppose -8*w - 10 = -7*w. Let y be s(w). Suppose 3*h - y - 48 = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a hour in seconds?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/39 in 5, -0.4, -2, -24?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*w + 49, -3 = -2*y + 5*w + 4. What is the highest common factor of y and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*y + 178 = 0, 0 = 2*n - 3*y - 107 + 29. What is the smallest common multiple of 1444 and n?\nAnswer: 30324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 3. Let o be y(-4). Sort 4, o, -1, -2 in descending order.\nAnswer: o, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 823*j = 379*j + 524*j - 1680 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r + 4*u - 84, -5*r + 5*u + 135 = 0. Let x = -3 + r. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*i + 100 - 41 + 37 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -18. Let r be -3 - -11*(-2 - -3). Let k(i) = -i**3 + 9*i**2 - 7*i + 4. Calculate the least common multiple of k(r) and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*p**5*x - 8*p**3*x**2 - 521*p**2 + x**2 wrt p?\nAnswer: -1440*p**2*x - 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7744.6 + 0.5\nAnswer: -7744.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 3\/(-12))*-8. Suppose 2*w - g - 35 = 0, 4*w - 7*g - 55 = -f*g. Calculate the highest common factor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 4:59 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34611 and 284856?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Suppose j + 0 = -t. Let o be (-4 - (-1 + -13)) + -16 + (-85)\/(-15). What is the third smallest value in j, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/7, 13, -208\/83 in decreasing order.\nAnswer: 13, 2\/7, -208\/83, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 2 - 2)*(-t**4 - 2*t + 2*t) - 36*t**5 - 653*t**2 + 653*t**2 - t**5 + 3*t**5 + t**4 - 46*t + 47*t.\nAnswer: -37*t**5 + t**4 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*(0 + 1))\/((-38)\/304). Suppose 5*j - 10 = -0*j. Suppose -j*l + 7 = -3*l. Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 0*z**2 - 2*z - 1\/10*z**5 + 1\/3*z**3 + 0*z**4 + 2. Let i(x) be the first derivative of d(x). Let i(f) = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*s + 4*o + 3, -4*s + 20 = 4*o. Put s, 3, 5 in increasing order.\nAnswer: s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 496 and 10.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5495.\nAnswer: 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 154\/308*0\/2. Solve -7*k - 14 = -x*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 276 - 276.09. Which is the biggest value? (a) w (b) -2 (c) -0.5 (d) 2 (e) 20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72906 and 943022?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in -7, 5, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1685593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(19) + -1))**2 + 4 - (sqrt(76)\/sqrt(4) + -1 + (sqrt(19) - (sqrt(19) - (sqrt(2299) - (sqrt(2299) + sqrt(2299) + -1)))))**2.\nAnswer: -1396 - 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 171\/156919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 5201250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-7) + 171\/63 + 2 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -83271065?\nAnswer: -24981319.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 8:57 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6145897 and 577129.\nAnswer: -5568768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 367841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/((-2)\/6 - -1). Let d be 12\/2 + (2 - 8 - 30). Let z = j - d. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvvsksshllkhs. What is prob of picking 1 k and 1 v?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*l - 3*z, 54*l - 51*l = 2*z + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3528590*f**2 - 15*f*w + 2131825*w - 11 wrt f?\nAnswer: 7057180*f - 15*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**3 + 2820*s**2 = 0 for s.\nAnswer: 0, 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (6 - (21 - 9)) + -21 + 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**3 + 46*o**3 - 9*o**3 - 12*o**3 - 10*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1709 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-3)*(-9 + 250\/30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6745856*h**4 + h**2 - 2*h - 10434781 wrt h.\nAnswer: 161900544*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.5, -0.2, 4, -6\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88\/7 - 513\/28. Let j = 6 + a. Let p = 0 - -1. Is j less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159735?\nAnswer: 3, 5, 23, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*f - 8 = 0, -7*f = -2*m - 2*f + 3. Solve 2*h = -m*r + 3*h + 1, -3*r - 23 = 4*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60020743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 58455 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 132665*p**4 + 82104 wrt p.\nAnswer: 530660*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000164099 to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 676.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 10 = -7*r + 2*r, r - 4*u = 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 52025 (base 6) to base 4\nAnswer: 1230101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2284388 and 19364.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 w when three letters picked without replacement from jjjjjjjwwjw.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8946957347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjtjjjjjj. What is prob of sequence jjjt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2954*a*r**3 - 2*a*r**2 + 133*a*r + r**3 - 178*r**2 wrt r.\nAnswer: -17724*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 divided by 890067?\nAnswer: 146\/890067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21131 by 844.\nAnswer: -21131\/844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3)\/m*m)**17\/(m**(-1\/4))**19 assuming m is positive.\nAnswer: m**(125\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59\/5 - -423\/35. Let d = 73\/70 + -8\/7. Let l = 1 + 0. Which is the nearest to n? (a) -2\/7 (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 2*h + 0*h)*(86*h - 17*h**2 - 42*h**2 + 56*h**2).\nAnswer: -3*h**3 + 86*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 + 440*b**2\/3 + 862*b + 1284.\nAnswer: 2*(b + 3)**2*(b + 214)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkznznnknzk. What is prob of sequence knzn?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 10*u**2 + 11*u + 6. Let v be y(9). What is the second derivative of -v*l**5 + 11*l + 9*l - 21*l wrt l?\nAnswer: -480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/(-63) + (-108)\/51?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -23. Let x(v) = 21*v**2 + 10*v + 6. Let b be x(y). What is the units digit of b\/12 - (-2)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h - 3*h)*(3*h + 0*h - 2*h + (-4 - 2 + 4)*(1 - 1 + h) + (0 + 8 - 2)*(-4*h - h + 3*h)) - 4*h**2 - h**2 + 6*h**2.\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.42999258 + -1.43. What is y rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*n - 32*n = 54*n + 102*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2728*h + 23784 = -80*h - 53008 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -1)*(11 + -24). Suppose -17 + y = -4*n. Let p(b) = -2*b**2 - 5*b + 6. Let x(m) = m - 1. Give n*p(o) + 6*x(o).\nAnswer: -2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f = -4*i + 39*f + 17577, -5*f - 4418 = -i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 200020?\nAnswer: 200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**4 - 9672001*c**3 + 4*c**2 - 880716915*c.\nAnswer: -72*c**2 - 58032006*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 minus 319213739?\nAnswer: -319213711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1584) - -2*(sqrt(1584) - 2*sqrt(1584)) - (sqrt(1584)*2 + 4)))**2 + (-2*(2 + sqrt(1584)) + -1 + 5)**2 + -2.\nAnswer: 4608*sqrt(11) + 234686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07669389 + 0.5?\nAnswer: 0.42330611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54452\/275 - 452\/275. Let g = -7382\/33 + q. Let z = g + 27. What is the nearest to -3 in 5, 0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1956640\/200 - (4\/(-14) + (-323)\/(-665)). Calculate the highest common factor of c and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 21*k**3 + 2*k**2 - 2*k. Determine y(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675 = 41*b + 306 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*q + 596190 - 148182. Let m = q - 25039. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 11 = 4*c, 0 = -4*g + 18 + 2. What is the second biggest value in c, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76920373?\nAnswer: 37, 2078929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 2*l. Let y(k) = k**2 - k. Suppose 3*j - 3*c + 4*c = 2, 0 = -4*j + 4*c + 24. Let u(i) = j*y(i) + d(i). Let v(p) = 27*p. Calculate v(u(t)).\nAnswer: 108*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by 299082?\nAnswer: -4\/21363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -4278866.\nAnswer: 12836598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**4\/8 + 343*v**2. Let y(r) = 3*r**2 - 3*r. Let l(b) = 7*b**2 - 5*b. Let f(g) = 3*l(g) - 5*y(g). Give f(x(q)).\nAnswer: 54*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17866631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 7:34 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710 is divided by 230.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -395*q - 14. Let m(j) = -395*j - 17. Give -5*m(s) + 6*n(s).\nAnswer: -395*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -10. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(17))*4.\nAnswer: 24 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2. Suppose 0 = u - j - 5, -1 = u + 2*j - 3. Let l(t) be the first derivative of 4*t**2 - 4*t**2 - 2*t**2 - 4 + u*t**2. What is i(l(d))?\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4032239 is divided by 1585?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 0*t**3 - 1\/12*t**4 - 1 - 2*t + 1\/2*t**2. Let i(x) be the first derivative of h(x). Find the first derivative of i(y) wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2. Let x(p) be the first derivative of -9*p**2\/2 + 27*p - 14. Let z(g) = 4*g - 13. Let l(c) = -3*x(c) - 7*z(c). What is l(j(d))?\nAnswer: d**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9\/11)\/(-3) - 54167\/(-11).\nAnswer: 2, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**5\/5 - 42*z**4\/5 + 174*z**3\/5 - 12*z**2 - 165*z + 150 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1047642 is divided by 853.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-8) - 708\/96. Suppose -2*c = -q + 42, q - 3*q = -5*c - 80. Let g = d + q. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 - 6*k - 6. Let f be p(6). Let s(l) = 2*l**3 + 15*l**2 + 9*l + 21. Let a be s(-7). Suppose f = 3*u + a*u. Solve u*c = -0*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 33*g**2. Let s(b) = 187 - 187 + 46*b**2 - 45*b**2. Give s(v(x)).\nAnswer: 1089*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/(-15))\/(-2))\/((-98)\/70).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3832, 7227, 10584, 13885, 17112, 20247?\n\"Answer: -3*v**3 - v**2 + 3419*v + 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbgbtttrbt. Give prob of picking 1 b, 2 t, and 1 g.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 73 = -5*b + 88, 0 = -4*b + i + 112. Find the first derivative of -22 + b - 42 - 122*z - 43 wrt z.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*x**3 + 386*x**3 - 9 + 1735*x**3 + 9.\nAnswer: 2400*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 719557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 158\/443 or 99.9?\nAnswer: 158\/443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(4\/(-8)*3)*-1. Let v be 32\/(c + 21\/(-9) + 1). Suppose 6*w = w - t + 76, 3*w = -3*t + v. Calculate the remainder when 89 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**2 + c + 2 + 6*c - 12*c**3 + 4 - c**4 + 0*c. Let t(a) = 3*a**4 + 42*a**3 + 18*a**2 - 24*a - 21. Let f(b) = -18*n(b) - 5*t(b). Solve f(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-37 - 0) - -3) + (-21 - -32) - 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p**3 + 6*p**2 - 1. Let z(d) = -8*d**3 + 13*d**2 - 519 + 1030 + 4*d**3 - 15*d**3 - 513. Determine 13*n(a) - 6*z(a).\nAnswer: -3*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a + 2. Let u(l) be the first derivative of l**2 - l - 152. Determine -2*p(h) - 5*u(h).\nAnswer: -4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -20297 at most -60887\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -8.1.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159007982.\nAnswer: 2, 7, 229, 49597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565959*i + 565959*i + 208*i**2.\nAnswer: 208*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0079561 to five dps.\nAnswer: -0.00796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/8 - (-375)\/1080. Which is the closest to -1? (a) h (b) 0.01 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -12*b + 46*b + 24*b + 121*b. Let m be l(6). Is m\/4*4\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2530*v**3 - v - 134*v**2 + 3 - 1264*v**3 - 1268*v**3 as h*v**3 + c*v**2 + s*v + t and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 - 2*a. Let r be -5*6\/(-15)*1. Let n = 6 - r. Suppose 0*h - 8 = -n*p - 4*h, -2*h = -4*p - 16. Give s(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i = -2*i - 13*i - 272 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7398560 divided by -26\nAnswer: -284560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 53 = 5*j, -5*j + 52 + 17 = 4*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28715 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/11? (a) -3 (b) 0.5 (c) 2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/1504 and -113\/56.\nAnswer: 10528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2643, -5430, -8331, -11346?\nAnswer: -14475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 - 76. Is f greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**2 + 1. Let y be d(1). Is ((-21)\/y)\/((-4)\/8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l + 153. Give r(-49).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.35 + -17.2. Which is the fourth smallest value? (a) -2 (b) z (c) 0 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/((-560)\/36))\/(3\/10*2)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9632291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 17. What is the third biggest value in -5, c, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a**5 - 670*a**3 - 313*a**2 + 4921665*a wrt a.\nAnswer: 80*a**3 - 4020*a - 626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (44\/(-12))\/((-1)\/6). Let u = 3 + n. Suppose 5*l + 1 = -z, 3*l + u = 3*z + 10. Is l bigger than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - h + 0*h**2 + 2*h**2. Let p be (-4)\/1 - (-4 - -2). Let c = p + 1. What is x(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36295 - 36264. What is the remainder when 13665 is divided by d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 65 = -3*n, -n - a = -4*n + 85. Calculate the remainder when 159 is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 85 + 79 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1570*p**3 + 1569*p**3 + 51*p**2 + 12 - 11.\nAnswer: -p**3 + 51*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-528)\/(-52) - 4\/26 and (-2 - -4)*(-4)\/(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**3 + 3*x**3 + x**3)*(x - 2*x + 4*x)*(-6 + 3 + 2)*(-5 + 1 + 2)*(3 - 5 - 5)*(4 - 6 - 2) to the form l*x**2 + f + s*x + a*x**3 + r*x**4 and give r.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 358420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -8*n + n**5 - 3*n**3 + 1\/12*n**4 - 3 + 1\/2*n**2. Find the second derivative of y(q) wrt q.\nAnswer: 120*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) - 3\/(-4). Let z(w) = -87*w**3 - 3*w**2 - 4*w - 8. Let c(a) = -54*a**3 - 2*a**2 - 2*a - 5. Let i(p) = -5*c(p) + 3*z(p). Determine i(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (554*n**2 - 68*n**2 - 3473*n + 3475*n)*(3*n - n + 4*n).\nAnswer: 2916*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(748\/248 - 3). Let u = y + 74. Solve -x = 2*x + u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11061576 + 2?\nAnswer: -11061574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 19. Let m(z) = z**3 - 9*z**2 - 23*z - 3. Is m(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 - 3594*k\/7 - 33592.\nAnswer: -2*(k + 68)*(k + 1729)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 60*z**3 - 596816*z**2 + 1482011244*z + 10502704296 = 0.\nAnswer: -106\/15, 4977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-645)\/(-84) + 2 + -6 and -125\/48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.006 - 0.306. Let v be 18\/30 - 860\/100. Put v, 5, 2, m in descending order.\nAnswer: 5, 2, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5\/4)\/b**(-21))\/(b\/(b\/((b**(5\/3)*b)\/b))*b**16\/b))**(3\/37) assuming b is positive.\nAnswer: b**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - c = 7, 0 = -0*n + 5*n + 5*c - 5. Suppose 25 - 9 = n*p. Which is smaller: p or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 325.5 - 326. Let r be ((-2)\/8)\/(21\/(-24)). Which is the biggest value? (a) -3\/4 (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 31. Let g(k) = k**3 + 4*k**2 - 14*k. Calculate the lowest common multiple of g(i) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1142 = 162. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 3 = -4*l - 3*x, 3*l + 2*x = 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -22*z + 6556. Let s(k) = 5*k - 1641. What is 9*s(p) + 2*w(p)?\nAnswer: p - 1657","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*z - 247*z - 238*z + 712*z + 2*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - 221021324?\nAnswer: -221021344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/3745896 and -19\/133782?\nAnswer: 3745896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + 7. List the prime factors of ((-182)\/r)\/((-2)\/5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9617.\nAnswer: 59, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4 - 3*y**2 - 6*y**3 - 4*y + 0*y**3 + 4*y**3. Let i(x) = -3 - x**3 + 0*x**2 - x**2 - x + 4. Determine -g(s) + 4*i(s).\nAnswer: -2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -160 - -202. What is the remainder when 156 is divided by n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 m when three letters picked without replacement from {m: 1, p: 4, a: 1, q: 2, c: 3, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632556909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -34*s**2 + 41*s**2 + 5 + 1. Let t(l) = -8*l**2 - 7. Determine -6*p(c) - 5*t(c).\nAnswer: -2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 124573 (b) -0.1 (c) 0.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3. Let v = s - 1. Let m = 1.4 + v. Which is the second smallest value? (a) 0.5 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 6*j + 95342 = 0. Let a = -2900 - j. Is 20\/35 + -1 + a\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 10. Suppose 0 = w + 3*f + 4, -4*w - 5*f = -10 - 2. Suppose -o*l + w = -454. Calculate the highest common factor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -31. Calculate the smallest common multiple of 6 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -5. Let k(c) be the second derivative of -c**3\/6 - c**2\/2 + 23*c. Let t(y) = 6*y + 6. Calculate m*t(x) - 14*k(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 334570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(((3 + sqrt(245))*3 - ((sqrt(245) - 2*(sqrt(245) + 0) - sqrt(245)) + sqrt(245)))**2 + 2).\nAnswer: 2520*sqrt(5) + 20018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1*(-3 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 13 + 44*x - 4)*(0*x**4 - 4*x**4 + 6*x**4).\nAnswer: 88*x**5 + 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**2 - 415*s - 6209.\nAnswer: 2*s - 415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 3:58 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10101100010111111000?\nAnswer: -10101100010111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 + 59 = 4*p - 2*m, -p = -4*m - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 17*p**2 - 6*p**2 + 8*p**2)*(16*p - 154 + 154).\nAnswer: -240*p**3 + 32*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47928?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 1\/4, 1, 2\/3, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -1\/8, 3 in descending order.\nAnswer: 3, -1\/8, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1063 from -243894.\nAnswer: -243893.8937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73 + 61 - 19)*(3 - 6 - 108*r + 3) + 0*r + r - 2*r.\nAnswer: -12421*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(484) + (sqrt(484)*-1 + sqrt(484) - sqrt(484) - sqrt(484)))\/sqrt(2)*6 + 0 + sqrt(2)*3 + sqrt(2) + sqrt(32)\/sqrt(4))**2 + -2.\nAnswer: 7198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 352*i - 6 = -354*i, 9*c + 4*i = -53 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2de - 138c6?\nAnswer: -135e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.5, -61, -1\/11, 0.0753288, -1\/3?\nAnswer: 0.0753288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 13) in base 15?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-94 + 200 - 32 + 265 + 316)*(3*r + r + 4*r) as f*r + g and give f.\nAnswer: 5240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*p - 42. Suppose 4*h - 4*k - 8 = 0, -4*h - 3*k = -p*h + 8. Is h less than or equal to 180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 + 0 - 6*q**2 to the form p*q + k + h*q**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.02 (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -609.\nAnswer: 1\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127472?\nAnswer: 2, 31, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7596 - 3861 = -19*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + 10)\/(0 + -2). Let v be 3 + 1 + 2 + w. Factor 3*b + 4*b**2 - 7*b**2 - 2*b - b**v + 3*b**3.\nAnswer: -b*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40\/(-42) - 24\/(-36). Sort 0.08, m, -0.05 in descending order.\nAnswer: 0.08, -0.05, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 111*c**3 + 57*c**3 - 2*c**2.\nAnswer: -54*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3\/13, -1033, 2\/3 in descending order.\nAnswer: 2\/3, -3\/13, -8, -1033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-8))\/(20\/(-8) - -1)*22\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -16 - (-4 - 2) - 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 113097748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-132)\/18)*16\/(-60)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1310 + 855 = -445*l + 9285 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -516 - 287?\nAnswer: -814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1103 - 2?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-746.\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01920287689 rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 2. Let m be c(0). Let w = -160 + 154. Suppose -j - 5*v - 22 + 2 = 0, -4*v + 8 = -4*j. Sort m, w, j in increasing order.\nAnswer: w, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*r + 9 = -11, 3*r = 2*x + 7. Which is the nearest to x? (a) -3 (b) -1\/9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 33029 - 2129 = 7*d. Round d to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*w - 2*w + 21, -3*l + 2*w + 2 = 0. Let t be (41\/(-9) + l)*2\/5. Let r = 172 + -114. Are t and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(11)))**2 + sqrt(11) + sqrt(121)\/sqrt(99) - sqrt(55)\/(-4*sqrt(80)).\nAnswer: -317*sqrt(11)\/48 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 4*h**2 + 4*h - 21. What is the units digit of s(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(3 - 1 + 0)*(4*w + 7*w - 98*w).\nAnswer: 174*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0384 and -26.\nAnswer: 0.9984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:43 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, r: 13, v: 3}. Give prob of sequence vvvr.\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4536\/5670*90\/(-1908).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128146 is divided by 12811?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2807362561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 15*j**2 - 239*j - 61. What is u(16)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 0*g + 0*g**3 - 7\/24*g**4 - 8*g**2 + 0. Let j(s) = 2*s. Calculate j(i(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**2 + 6*s + 14. Let v(g) = -2*g**2 + 3*g + 7. Let f(l) = -3*j(l) + 5*v(l). Let d be f(3). Solve 14 - d = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (2 - (2 - (-2 + 2)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2474*r + 170. Is q(-5) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = j - 2*u, -5*j = -2*u + 46. Is (-28968)\/(-15) - (-2)\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 336\/12*(-7 - (-87)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 16*l**5 + 476*l**4 + 3928*l**3 + 5708*l**2 + 1456*l - 784 = 0?\nAnswer: -14, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**3 - 2*n**2. Calculate z(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2. Let b(a) be the second derivative of a**6\/45 + 7*a**4\/12 - 16*a + 2. Let i(y) be the third derivative of b(y). What is u(i(c))?\nAnswer: 768*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003505058117 rounded to 5 dps?\nAnswer: 0.00351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 1. Let n(u) = 7*u**3 - 42*u**2 + 11*u - 6. Determine n(y) + 5*r(y).\nAnswer: 7*y**3 - 47*y**2 + 11*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 280*n**3*o**2 - n**3*o - 10*n**3 + 12*n**2*o**2 - n*o**2 - 2*n - 5*o wrt o.\nAnswer: 560*n**3 + 24*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 4) in base 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22 (b) -16\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1259 + -1258.57. Put -0.4, -3\/8, i in ascending order.\nAnswer: -0.4, -3\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 6*s**2 - 6*s**2 - 2*s**2. Let w(q) = 19*q. Give y(w(b)).\nAnswer: -361*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 338518.\nAnswer: 1\/169259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**(-5))\/z)*z\/(z\/z**0))\/(z\/z**(-1))**(-45) assuming z is positive.\nAnswer: z**86","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 15*i + 90 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56035 and 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -125b + 54c2?\nAnswer: 4265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 0 + 0*h**5 + 7\/15*h**6 + 6*h - 2*h**2 + 0*h**4 + 0*h**3. Differentiate f(u) with respect to u.\nAnswer: 56*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000674108279 rounded to 5 dps?\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 171742, -4, 0, -6 in descending order.\nAnswer: 171742, 0, -2, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66303931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19747 + 699. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 132. What is u(-21)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100221201 (base 3) to base 12.\nAnswer: -32454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0725 - -0.0943. Let v = y + -0.16. What is v rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*u = 8*u + 162 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**6\/240 - 19*i**5\/120 - 33*i**4\/16 - 27*i**3\/4 - 2*i**2 + 11*i. Factor p(s).\nAnswer: -(s + 1)*(s + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 412020, 412033, 412048, 412065, 412084?\nAnswer: 412105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 77, 108, 151?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1548863632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 616 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-9)*q)\/q)\/((q\/q**(-12))\/q*q) assuming q is positive.\nAnswer: q**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8432171*y - 8432171*y - 8*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 + 191 + (114 - (-12 - -8))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.1, 0.1161, -2\/3, 4 in descending order.\nAnswer: 4, 0.1161, 0.1, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + (-5 + sqrt(176) + (0 + sqrt(176) - sqrt(176) - sqrt(176) - sqrt(176)) + -3*(sqrt(176) + 1))*2) + -5 + -5)**2.\nAnswer: 39936*sqrt(11) + 416320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -15*z**2 - 219*z - 75. Let x be c(-14). Put x, -4, 0, 5, 4 in descending order.\nAnswer: x, 5, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 2534 - 130 = -79*u for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-22 + 270\/(-10))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101 - -11?\nAnswer: -1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 44101?\nAnswer: -44104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8147.5994 - 8149. What is n rounded to 2 dps?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4}. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -480779 divided by 4?\nAnswer: -480779\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3241102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 0 + 0 + (3*t - 3*t - t)*(4 - 1 - 2))*(8*t + 8 - 141*t**2 + 143*t**2 - 54) to m*t + i*t**2 + d + l*t**3 and give m.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-117)\/510) - (-1)\/(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1510 - 4520\/3. Let h(m) be the first derivative of 0*m + 1\/4*m**4 + 0*m**2 - q*m**3 + 1. What is the third derivative of h(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4568940 divided by 42305.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -4055.\nAnswer: 8\/811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by (-91)\/(-5) + (-5)\/25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -2)\/((-6)\/6). Is -4\/9 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 406455 and 148.\nAnswer: 60155340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (22 - 27) + (45 - -1) is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284734608.\nAnswer: 2, 3, 19, 312209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 686, 1245, 1798, 2345, 2886, 3421?\n\"Answer: -3*u**2 + 568*u + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 7 = -5*z - 2*y, 0 = 5*z - 3*y - 14. Suppose 4*l - 11 = 3*b - 4*b, -b + z = -l. Solve -b*n + 12 = -3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2100 (base 7) to base 10\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 356 and 18.\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.05 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 141655\/(-111251) - 6\/(-46)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 * 131219.\nAnswer: -3936570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3217 + -1791. Suppose -22*s + 708 = -i. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -11*k - 56. Let i be u(-6). Let d be (-6)\/(-2) + 2 + 0. Suppose -53 = -d*x + t, 27 = -0*x + 3*x + t. Calculate the highest common divisor of i and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + 1*sqrt(847) - sqrt(847)))**2 + ((5*(0 + sqrt(847)))**2 - ((sqrt(847)*-2)**2 + 3)) + -5.\nAnswer: 17783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/10 + (-1)\/(-2). Let w be (f\/(-2))\/(4\/(-232)). Suppose -4*g + 4*u = -2*g - 2, 5*g - 4*u - w = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220125 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*h + 669, -4*u + 8*h - 3*h = -2727. Let w = u + -671. Calculate the remainder when 347 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.416 and -0.2?\nAnswer: 0.0832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - 0. Suppose 4*x = 12, 2*x = -4*t + 9*t + 71. Let h = t - y. Let g(j) = -j + 1. Calculate g(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-1970)\/200 - ((-6)\/(-15) - 0).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 401402765 + 1\nAnswer: 401402766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*(2 + sqrt(2299)*2)*4.\nAnswer: -264*sqrt(19) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from picpquu. Give prob of sequence uqcu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 414095, -41 in ascending order.\nAnswer: -41, -3, 414095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 885 less than 16.4?\nAnswer: -868.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 5*s**2 - 4*s - 8. Give t(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18*(-1)\/3*-2. Suppose -3*c + t = -0*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 319*q - 2877. Is f(-102) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2942*p - 28*p**2 - 2943*p - 72*p**2)*(-11 + 11 + 7*p)*(-2 + 2 - 2*p**2).\nAnswer: 1400*p**5 + 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3150 is divided by 158.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111100000001110011 + 11?\nAnswer: 100111100000001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(130)*1*4*1)\/(sqrt(1210)*-5 - (sqrt(250) - -2*sqrt(250))).\nAnswer: -6*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + m**3 - 6*m**3 - 2*m + 4*m**3 - m**4 to the form q*m**2 + p + u*m**4 + d*m**3 + k*m and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 6) + (-26 - (-35 - 11) - (83 - 0))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 1974 = -o. Let n = -392 - o. Find the common denominator of (n\/8)\/(21\/(-14)) and -83\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(1037\/(-915)))\/((-1)\/1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12 + -5 + (-112)\/(-7). Do 1\/21213 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -0.473569?\nAnswer: 4.473569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/11 and 81\/7550378.\nAnswer: 7550378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((((c\/(c\/c**(-10)))\/c)\/c)\/c))**(-10\/13)\/(c**(5\/9))**(-32) assuming c is positive.\nAnswer: c**(730\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50175 by 21.\nAnswer: 16725\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - p - 5. Let r(y) = -y**2 + 3. Let c(s) = 4*k(s) + 9*r(s). Let b be c(-5). What is the derivative of 0 + m**b + m**2 + 0*m**2 - 1 wrt m?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809272441?\nAnswer: 809272441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -288 - -804. What is the lowest common multiple of 6 and s?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172257 rounded to the nearest one thousand?\nAnswer: -172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 6*b + 6. Let g be b\/(-9) + (-219596)\/(-18). Let z be 4\/(-18) - g\/(-225). Calculate the highest common divisor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {r: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**6\/120 + c**5\/30 - c**4\/24 - c**3\/3 - c**2\/2 + c. Let k(j) be the first derivative of a(j). Is k(3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145.45 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34, -51, -68, -85, -102, -119?\n\"Answer: -17*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 4*z - 3516, z = c + 3*c - 3541. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -185.6 - -185.68. Put 2\/23, g, -2\/5, -4 in increasing order.\nAnswer: -4, -2\/5, g, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 715518, 1431042, 2146568, 2862096?\nAnswer: 3577626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - 13*z - 48007102. Let l = z - -13253613. Let i = 7599938 + l. What is i rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -95310 (base 12) in base 11?\nAnswer: -124047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 15. Let d(q) = q**2 + 2*q - 1. Let p be d(h). Let i(s) = 5*s**3 + 2*s**2 - 1. What is i(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(12\/12) + (-11 - 38341\/(-2392))?\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 105378\/(-11) - (-34)\/(-187). Let d = k - 820. Round d to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*z = z + 98, 0 = z - 4. Let v be (220\/(-60))\/(10\/(-282)) - 2\/5. Which is greater: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbbs when four letters picked without replacement from bbbbbbbsbsbb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 82813.4 (b) 2\/25 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.197 to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -4, -1\/3, -0.0791, -4.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2 + 8 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 43 = -6*y. Suppose 2*i - 5*l - 71 = 0, 3*i + 3*l - y = 11. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39037 and 3032?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8)\/((r\/((r\/(r\/(r**(-1)\/r)))\/r))\/r))\/(r**(-1\/3)\/r)**(-43) assuming r is positive.\nAnswer: r**(-205\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 17*m**9\/20160 + m**6\/360 + m**5\/30 - 2*m**3\/3 - 32*m**2. Let v(g) be the third derivative of b(g). Differentiate v(k) wrt k.\nAnswer: 153*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.7 - -6.33387.\nAnswer: 1.63387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -33 - 50\/(-5)) + -9 - -11.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2 = 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -751, -1492, -2233, -2974, -3715, -4456?\n\"Answer: -741*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 2299764.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -287 by -7.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 5.41 (c) 2\/5 (d) 279.87 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.771 rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c**2 - 26*c + 7. Let q be u(3). Let v = 8 + -15. Are q and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -430 at most as big as -437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5197148 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35)\/(-3) + (-10)\/15. Let f = j + -7. Let i = 12 - 7. Sort f, i, -4 in descending order.\nAnswer: i, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121823011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2852 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277880 is divided by 489?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3024)\/154*(-2)\/(-15). Let q be (588\/(-120) - -5)*(-2)\/(-11). Let d = o + q. Is -2 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**2 - 5*m + 1. Let r be k(5). Suppose r = 5*v - 79. Calculate the remainder when v is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 h, and 1 a when three letters picked without replacement from {f: 10, a: 4, o: 1, i: 1, h: 3}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.033, -889.8, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 127871.6 and -1.1.\nAnswer: 127870.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -32*t + 109. What is z(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*c + 290 = 270, 8*b - 40 = -7*c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 389 (b) 9\/16 (c) -3\/170 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 + 75. Let n = -12 + d. Suppose 29 = n*i - z, -3*i + 2*i + 5*z + 28 = 0. What is the least common multiple of 6 and i?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -37411, -74755, -112099, -149443, -186787, -224131?\n\"Answer: -37344*z - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 16 = -4*s. What is the second derivative of 0*q**4 + s*q + 51*q**2 - 51*q**2 - 3*q**4 wrt q?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 5, 0 in ascending order.\nAnswer: 0, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-6))\/(2\/36). Let x be (-5)\/9*l\/(-15). Suppose -2*k + 4 = -0. Which is the third biggest value? (a) k (b) 2\/19 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ollllol. What is prob of sequence llo?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*s + 70, h + 0*h + 4*s = -6. Let n be ((-4)\/(-10))\/(2\/h) - -171. Suppose n - 37 = 4*z. Is 34 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r - 15*r + 5*r - 26*r.\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 26*c + 76 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53099056 to the nearest integer?\nAnswer: 7287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 736 and 818938?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + (-8 + 42004 - (-7 + -1 - -2)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.13.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**5\/20 - k**4\/3 - 4*k**3\/3 + 3*k**2 + 14*k. List the prime factors of s(-7).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 158*g + 1412. What is u(-8)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0075, -2\/15, -11, -1.8, 0.5 in descending order.\nAnswer: 0.5, 0.0075, -2\/15, -1.8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1675 - 276374\/165. Calculate the common denominator of 172*(-17)\/136*(-8)\/150 and r.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2048.696 - -38\nAnswer: 2086.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-10 - (7 - 10)) - 3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 9*j + 5 + j - 5*j + 6. Is f(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128626848 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 678 divided by 22\nAnswer: 339\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2013 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129318 divided by 6.\nAnswer: 21553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4 - 3*n**3 + 6*n**2 - 4*n - 2*n + 2*n**3. Suppose 2*z = 7 + 3. What is m(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87511.\nAnswer: 87511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*r = 1781 - 646, 0 = 2*r - 10. What are the prime factors of m?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**4\/4 - 2*w**3\/3 - w**2\/2 + w - 6. Suppose 32*v - 41*v = -18. Give y(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 + -86. What is the closest to 0.1 in j, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -20140024?\nAnswer: 20140033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*l - 19*l + 11*l)*(1 + 4 - 3) + (-2 + 0 + 4)*(l - l - 2*l).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v - 33*v = 5*m - 37, -5*v + 72 = -2*m. Solve 3*z = -q + 17, 9*q = -4*z + v*q + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.02 (c) -71 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 111 - 101. Let y be 16\/o + 3 + 32\/(-10). Calculate the greatest common factor of 213 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-2\/35))*g)\/((g*(g*g**(-1\/8))\/g*g)\/g))\/(g*g**26*g*g**(-2)\/g) assuming g is positive.\nAnswer: g**(-6981\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28557 is divided by 140.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 - 56. Suppose -5*z + 2*r - 6 = r, 4*z + 2*r = -f. Which is the nearest to z? (a) 2\/13 (b) -0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 125 + -733 + 581.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p - 2 + 2)*(-36*p - 154 + 154)*((2 + 3 + 1)*(1 + 3 - 2) - 4 + 0 + 0) in the form u*p**2 + n + b*p and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 151*y**3 - 104*y**2 + 16927511?\nAnswer: 453*y**2 - 208*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**6 - 6244*w**5 + 54*w**3 - 10*w**2 - 881789?\nAnswer: 120*w**3 - 374640*w**2 + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*l + 254*l + 6*s + 31 = 128*l, 18*l - 122 = -s for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05099 - -0.04901. What is the fourth biggest value in -0.6, o, -2, -1.62?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 13832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + k - 2 - 2*k + 2 - 2 + 2*k + 2 + (-1 - 4 + 3)*(-3*k - k + 3*k) + 4*k + k + 11*k - 1 + 5*k - 2*k - k.\nAnswer: 21*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 884500656897 plus 0.1?\nAnswer: 884500656897.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-9)\/(-6)*-2. Suppose -13 = -2*d - 5, -5*s = -3*d - 8. What is the second derivative of -2*i - 3*i**s + 2*i**4 - 2*i**m + i**4 wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3496429 and 467.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139590 is divided by 252.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqlgfduq. What is prob of picking 1 f, 1 q, 1 u, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6185 - 3*o**2 + 6309 - 12494.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -12982?\nAnswer: -12983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-5 + -2 + sqrt(2448) - ((sqrt(2448) + 3*sqrt(2448))*-6 + sqrt(2448) + sqrt(2448) + sqrt(2448)))*3*-6)**2 + 1.\nAnswer: -1235520*sqrt(17) + 383902469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16218331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1599.729 + 1599. Let o = j - -0.009. Round o to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 5*h + 6. Suppose h*b = 5*o - 4*o + 199, o = -3*b + 191. Suppose -5*y = -330 - b. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 16 + 20 = -y, -5*y = -5*m - 30 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10267 take away -72533.03548?\nAnswer: 62266.03548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -686 + 1166. Suppose -5*i - m = -i. Let h be i\/175 + (-4)\/(-14). What is the closest to 0.1 in -3, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -0.7. Sort c, 4, -0.2 in descending order.\nAnswer: 4, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 285, 381, 477, 573?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -597237.53 + 617488?\nAnswer: 20250.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 6 + 2. Suppose -i - m = -29, -k*i = i + 5*m - 79. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, f: 3, w: 5, l: 4}. Give prob of picking 2 x and 1 l.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34961\/18 + -1943. Calculate the common denominator of 47\/26 and i.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = -1338 + 5001. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/13? (a) -0.103 (b) 0.09 (c) -11\/3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21865903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 9:39 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584 = -5*h - 104. Let k be -3*(-1)\/(4 + -3). Suppose 5*i = k*z + 27 + h, z + 23 = i. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4579*g**5 - 3*g**2 + 3*g + 1051?\nAnswer: 91580*g**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*h - 22. Suppose -3*v = -5*d - 8, -3*v + h*d - 2*d = -5. Suppose -p + 10 - v = 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 q = 28.8 - 29. What is the smallest value in -2\/7, 2, q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j = -2*y, 5*y = -5*j - 5. What is the hundreds digit of (5\/y)\/((-6)\/300)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/7)\/((-9)\/126).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - -45. Suppose -3*m - 15 = 0, 3*m + m = p*t - 292. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9063794?\nAnswer: 2, 23, 103, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 15*x**2 - 2*x - 1. Let c(o) = -60*o**2 + 9*o + 4. Let p be 27\/(-4)*(-344)\/(-258). What is p*l(h) - 2*c(h)?\nAnswer: -15*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -324.0503 + 0.0503. Let w = 328 + m. Let g = 1 + -0.5. Which is the second biggest value? (a) g (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 122 - 675*b + 254*b**2 - 3*b**3 - 20*b**2 + 120 - 242 = 0.\nAnswer: 0, 3, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1 - -2) + (-16 - (3 - 6))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*s + 2 = 9, 4*s = a - 7. Suppose -545 - 120 = -a*j. What are the prime factors of j?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Suppose 0 = -36*p + 1660 - 17824. Let l = -434 - p. Calculate the least common multiple of l and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - f**2 + 2. Let k be q(2). Let v(s) = s**2 - 7*s + 9. Let r be v(k). Suppose u + 0*x + 4 = -3*x, -r*u - 2*x = -2. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 7:18 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 18, 35, 56, 81?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119640133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-33))\/(35\/(-45)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*r = 149*r + 16. Let d be (-42)\/(-8) - 1\/4. Suppose -y = -d*y + r. What is the greatest common factor of y and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132 - 129. Suppose f*y = -4*a + 44, 0 = -0*a - 4*a - 4*y + 44. What is the highest common factor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/5)\/(18\/(-45))*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -0.4 (c) -14 (d) -0.1 (e) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 4\/9 (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5445 - -5444.6. What is the closest to -36 in g, 0.7, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 0, 3, 5 in descending order.\nAnswer: 37, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a**2 + 72*a - 21. Calculate the remainder when 201 is divided by g(-13).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -n**6\/168 + 2*n**5\/105 - n**4\/168 - n**3\/21 - n**2\/2 + 3. Let j(g) be the second derivative of w(g). Solve j(r) = 0 for r.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -596002, -596003, -596004, -596005, -596006, -596007?\nAnswer: -596008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/8 - 902*(-5)\/40. Let c = n + -107. Solve -c*i - 3 = 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -1\/3, 8, 73?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 388786397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 588, -0.2, 0.16.\nAnswer: -4\/3, -0.2, 0.16, 588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*u + 5 + 3, 0 = 2*u - 6. Let b be ((-235)\/m)\/(3 - 410\/136). Let q = b + -426. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*v**3 - 3*v + 138*v**3 - 40*v**3 - 25*v**3 + 3*v.\nAnswer: 27*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -464*x + 457*x. Solve 12*k - x = 8*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13982 + 237690\/17. What is the nearest to 2 in 17, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/270 and -107\/48402.\nAnswer: 726030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8514607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a week in hours?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2177, -4358, -6539?\nAnswer: -8720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 4. Calculate the remainder when 26 is divided by a(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 4*f**2 - 14*f**2 - 4*f.\nAnswer: -6*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 4 (b) -6.07 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*-2 + 5 + 18. Suppose -r = -7*h + 44. What is the remainder when 90\/27*36\/5 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 50317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 73*n. Let d(b) = -72365*b**2. Determine h(d(q)).\nAnswer: -5282645*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 12:16 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 528813815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*l*n**2*q + 75*l*n**2 - 18*l*n*q**2 + 2*l*n + 312*l*q**2 + l*q + 2*n**2*q**2 - 7*n**2 - 2*n - 4 wrt n.\nAnswer: -72*l*q + 150*l + 4*q**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 63143125?\nAnswer: 63143116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.324 (b) -0.09 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/44160 and 191\/173460480?\nAnswer: 173460480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -11. Let y be (z + -1)*(1 - 35). Let l = y - 9. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103, 93, 93, 109, 147?\n\"Answer: u**3 - u**2 - 14*u + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -2\/627641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*m - 6*k + 2343, -3*k - 1395 = 3*m. Let t = 669 + m. What are the prime factors of t?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**3 + 185*l**2 - 53770*l - 1746240 = 0. Calculate l.\nAnswer: -107, -32, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**4\/12 + v**3\/3 - 2*v**2 - 3*v + 4. Let m(h) be the first derivative of d(h). Is m(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 z, and 1 o when three letters picked without replacement from {z: 7, o: 2, j: 4}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - k**2 + 4*k + 3. What is v(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.014, -1\/8, -0.1, 6?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14541 and 555.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/8*10*-3*((-102)\/(-150))\/17.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-19 + 18 - ((-8 - 0) + 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.67 - 143.33. Let s = 137.1 + h. Let i = s - -6.8. What is the third biggest value in i, 2, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4*i + 0*i)*(-i**3 + 0*i**3 - i**3) + (-6*i**3 - 4 + 4)*(4 - 2 + 258*i - 54*i).\nAnswer: -1218*i**4 - 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1\/3 (b) -0.01 (c) -1 (d) 13 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 3:19 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116186*m**2*q**2 + m*q - 12425*q**2 - 3*q wrt m?\nAnswer: 232372*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137115318 is divided by 114.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -21.6. Let u = p - 4. Which is the smallest value? (a) 2\/3 (b) u (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 214, 425, 636, 847, 1058?\n\"Answer: 211*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526980.\nAnswer: 2, 3, 5, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p + p + 17*p)*(-3 + p + 2*p + 2) in the form q*p**2 + y*p + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 2*d - 3, -z - 6564 = 5*d - 6580 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21298*z - 21297*z + 3*l - 52 + 4 = 0, -2*z + 2*l = 40 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t - 2 = -4*d, -2*d + 14 = 4*t. Let p be 102\/5 - 6\/15. Let i = -12 + p. Solve 3*v + 22 = 5*s, i = d*s + s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*l = 4*c - 250*l, c + l + 9 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480\/(-384)*(-3)\/(-57)*10\/25*2.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 775.6 (b) 1\/4 (c) -59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by 153469.\nAnswer: -52\/153469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3095113.404 to the nearest 100000.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, k: 3}. Give prob of sequence gkgg.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8*s**4 - 4*s**3 + 4*s. Let h(o) = 23*o**4 + 12*o**3 - o**2 - 12*o. Let w(d) = -11*b(d) - 4*h(d). Factor w(x).\nAnswer: -4*x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23964.89 + -24588. Let d = -627 - w. What is d rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 450 - 452. Which is the nearest to -24? (a) 0.3 (b) k (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/11 + 91\/(-77))*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -59, -84, -109, -134?\n\"Answer: -25*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2363469)\/(-787821) - (5 - 2). Let p = f + 10766107\/102416730. Let i = p + 4\/65. What is the closest to 0 in 4, -1\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*f + 61, -2*f = -5*n - 0*f + 107. Calculate the remainder when 244\/(-6)*36\/(-24) is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6189700 divided by 187.\nAnswer: 33100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**6 - i**4 + 1006*i**3 - 11338*i**2?\nAnswer: -240*i**3 - 24*i + 6036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 1.062.\nAnswer: -1.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -476*c**2 + 6. Let x(r) = 912*r. What is d(x(b))?\nAnswer: -395910144*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (20*(-54)\/(-40))\/((-3)\/3)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-5 - (-15)\/3) - 0) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -153633406*s**2 + 80014427 wrt s.\nAnswer: -307266812*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + i - 38. Let c be v(-7). Suppose 4*n + 3*j = 85, 0 = 5*n - j + 7 - 137. Suppose -4*t = -5 + n. Sort -1\/5, c, t in increasing order.\nAnswer: t, -1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 787436.2 years to months.\nAnswer: 9449234.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3\/5, 0.1, 5\/4, 27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 263294209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/12 and 37\/3124.\nAnswer: 9372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1282176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -40292\/84293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334.7606 months in decades?\nAnswer: 11.123005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 + -59. Let p be (12\/18)\/((-4)\/(-78)). Suppose -n - p = -2*t. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 414 + 40154?\nAnswer: 41012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13428, -26877, -40326, -53775?\n\"Answer: -13449*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12424 (base 6) in base 3?\nAnswer: 2120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*c + n - 38, 8*c + n + 22 = 12*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 718200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from yllivi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 1 = -101. Let v be 10\/2*(-2 - -3). Calculate the highest common factor of v and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 4:31 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 13*r - 8. Suppose -4*c = -5*o + 45, o = -3*o + 4. Does 11 divide n(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764819 is divided by 7582?\nAnswer: 6619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-84))\/(6\/12)*(3600\/(-660))\/10?\nAnswer: 3\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8240 + -8090. Calculate the highest common factor of 24 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/sqrt(5) + 4 - (-1 + sqrt(30)\/sqrt(6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 306*c + 2307. Determine f(-8).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*i + 263, -5*o + 81 - 506 = -5*i. Suppose i*s - 90*s = 0. Let b(x) = -x**3 - x - 17. Calculate b(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30746 divided by 2\nAnswer: -15373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379*p - 365*p - 268590 = 0. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*j**3 + 11*j**3 + 10*j**3)*(j + 0 + 0).\nAnswer: 93*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - ((sqrt(180) - (0 + sqrt(180) + sqrt(180))) + 4))**2 - ((sqrt(30) - -2*sqrt(30))\/sqrt(6) - (-1*sqrt(605) - sqrt(605))**2).\nAnswer: -99*sqrt(5) + 3156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 16 = 3*f - 2*f, 3*r = -4*f + 5. Suppose r*t - 7*t - 28 = 0. Is (-326 - t)\/(-2 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2 - 5*q**2 - 4*q**2 + 5*q**2 + 2*q. Let h(r) = 1086 - 1083 - 2*r**2 + 3*r + 2*r**2 - 4*r**2. What is -3*c(d) + 2*h(d)?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*2\/((-16)\/12). What are the prime factors of (684\/48)\/(w\/4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -31*s + 30*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 69592, 69318, 69080, 68896, 68784, 68762, 68848, 69060?\n\"Answer: 3*b**3 - 295*b + 69884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297459469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0688346603 rounded to 5 decimal places?\nAnswer: -0.06883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 41, 8, -61, -166, -307, -484?\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*i + 2 = 20, 3 = 4*g - 5*i. Let h be 3 - (-3 - (g + 2)). What is the third derivative of -5*n**5 + 9*n**h + 3*n**5 - 12*n**2 wrt n?\nAnswer: 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.29856906 plus 6.57?\nAnswer: 15.86856906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b2 + -1496?\nAnswer: -12a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1083*y**2 - 1115*y**2 + 3 + 3*y**3 - 16*y**3.\nAnswer: -13*y**3 - 32*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 296 or 3672?\nAnswer: 296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3474 and 1062?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.4 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 9:55 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r = -34*r + 69. Let p = r + 32. Solve -n - 2*n - p = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4975*a**3 - 328*a**2 - 589020*a + 1.\nAnswer: 29850*a - 656","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 33420 divided by -12\nAnswer: -2785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 408 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, s: 9}. Give prob of picking 1 s and 1 p.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zodd when four letters picked without replacement from {z: 7, o: 2, d: 4}.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 + 7*b - 2. Let c be v(-1). Let k(z) = -7*z**3 + 6*z**2 - 12*z - 5. Let i be k(c). Round i to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 597519, 1195012, 1792447, 2389794, 2987023, 3584104, 4181007, 4777702?\n\"Answer: -5*l**3 + l**2 + 597525*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:03 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 52.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8f76 + 107?\nAnswer: 907d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 3*g. Let d be r(3). Suppose w - 1123 = -5*u, d = -3*u + u - 3*w + 457. Calculate the common denominator of 4\/14 + (-204)\/u and -41\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2 = 5*o. Which is the nearest to 1? (a) 2 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*s + 38*s + 33*s - 39*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/20)\/((28\/(-15))\/14).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.159963 and -0.201?\nAnswer: 0.032152563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3160)\/(-5530)*(-42)\/(-1836)*-1?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91141608*f**3 - 391502*f**2 + 45 wrt f?\nAnswer: -546849648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -11*u**2. Let i(f) = 7720197*f. Give l(i(r)).\nAnswer: -655615858906899*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-3 - -7 - (-1 - -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*j + 56, 104*u - 108*u = -4*j - 72. Calculate the lowest common multiple of (0 - -10)\/((-2)\/(-4)) and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q + 65*q - 82*q - 56*q.\nAnswer: -82*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40.27 - -40. What is a rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -857 + 1459. Let k be (-42)\/(-112) + (-2379)\/8. Let b = k + g. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 7. Let v be 4 - (1 - 0)*-2. Let b(w) = 2*w - 4. Let r be b(v). Let k be h(r). Which is smaller: -1\/6 or k?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-113368)\/8732 - (-4 + -6 - 3).\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -44, 6078, -1, -3\/47?\nAnswer: 6078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(-2930*c**4 - 2416*c**4 + 68*c**3 - 96*c**3 + 28*c**3) to f*c + a + r*c**2 + s*c**3 + d*c**4 and give d.\nAnswer: 5346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16445*s = -16385*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 8:54 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23750528 to the power of 1\/2, to the nearest integer?\nAnswer: 4873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnodhhnhtorhtr. Give prob of sequence thno.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 5*i + 3. Let j be ((-52)\/(-117))\/((-4)\/(-18)). Give u(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -3. Let g = h + 53. Let v = g + -25. Calculate the remainder when v is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 98 = -7*y + 2*y, -12 = 4*n. Let l(r) = -r**3 + r - 1. Let s(g) = 10*g**3 - 14*g**2 - 60*g + 11. Let v(j) = y*l(j) + 2*s(j). Factor v(a).\nAnswer: -2*a*(a + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 146058 = -r, -4*w + r = -4*r + 116859. List the prime factors of w\/26*(-6)\/9.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100273739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, g: 8}. Give prob of sequence gg.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 53824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6761341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1066 and 95653.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**2 - 5*a**2 - 1 - 2*a**2 as b*a**2 + g + r*a and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 2*r + 7, -3*r = 3*v + 3 - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**4\/6 + 23*w**3\/6 - 11*w**2\/2 - 26*w. Let o be j(-12). Suppose -6*z = -18 - 0. Solve 0 = -z*p + 5 + o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 5*p**2 - 2*p + 4. Let i = -61 - -53. Let j be i\/(-3)*-1*15\/10. What is v(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 10, 0.1, 1\/2, -2\/9, 2.7 in decreasing order.\nAnswer: 10, 2.7, 1\/2, 0.1, -2\/9, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1324504543 (base 6) to base 15\nAnswer: -15e1ee6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 - 7*j - 7. Let x(h) = -h**2 + 11*h - 10. Let o be x(7). Suppose o = -8*y + 3*y - 2*k, 4*k = 4. List the prime factors of r(y).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 366618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -8*t + 45 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*-1)\/sqrt(12))\/(sqrt(50)\/(sqrt(5)*-1)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109 - -543\/5. Put 8, 5, c, -2 in decreasing order.\nAnswer: 8, 5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 1:10 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64901193\/11 greater than 5900109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, 59, 207, 425, 719, 1095, 1559, 2117?\nAnswer: 2775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102*c*j**2 - 3*c - 2*j - 4 wrt j.\nAnswer: 204*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 492 and 2542.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 21. Let d(t) = t + 43. Let n(p) = 2*d(p) - 5*r(p). Let u(g) = g**2 - 25. Let y be u(6). Let a be n(y). Solve -a*l = -2*k - k - 15, -k - 5 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*y + 1 + 17*y - 32*y)*(y + 0*y - 1 - 3*y).\nAnswer: -76*y**2 - 40*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - -7)\/(3\/(-3)). Let c be 46\/(-15) - (-3 - (0 - z)). Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/16)\/3)\/(3\/9)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 113*i**2 + 495*i + 900. Is l(-127) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -171006609, -342013216, -513019823, -684026430?\n\"Answer: -171006607*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 532 - 556. Which is smaller: g or -1\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52343 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 19 + 27 = 0. Suppose -757 - 100 = -2*w + 3*j, 1754 = 4*w + o*j. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1649 + -1541. Is 108 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57020552*t**5 + 3453914*t?\nAnswer: 1140411040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 29. Suppose 5*m - p = 25, 2*p = -0*p. What is the highest common divisor of m and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.933247772 - -2596.187748428. Let p = -2593.021 + s. Let m = 4.1 - p. What is m rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -25, -4, -1158, -5, 0 in ascending order.\nAnswer: -1158, -25, -5, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-8)*2\/8. Suppose -2*v = -7*v - 10. Let x = 0.06 - 3.06. Which is the second smallest value? (a) i (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -113323?\nAnswer: -113336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 12900*z - 12901*z = -5, 0 = k - 4*z - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.303514 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 + 112. Factor -x**i + 4*x**2 + 65 - x**2 - 69 - 2*x.\nAnswer: 2*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389594*x + 389592*x - 4 + 4.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -28*u. Let i(w) = 145130*w. Determine i(m(x)).\nAnswer: -4063640*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.6 + 0.6. Let n = -2.9 + y. Let d = -3 + n. Sort -0.1, -2, d in ascending order.\nAnswer: -2, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 365 and 64.\nAnswer: 23360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -270033?\nAnswer: 270027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24 + 0 + -1 - 0. Suppose 2145*v - r - 245 = 2144*v, 2*r + 996 = 4*v. What is the greatest common divisor of v and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(((-1)\/(-2))\/((-15)\/(-30))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 2*z**7\/35 - 123*z**6\/40 - 7*z**5\/4 + 123*z**4\/8 + 31*z**3\/2 - 3*z**2 - 805*z. Suppose t(x) = 0. Calculate x.\nAnswer: -1, -1\/4, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -552*s**2 + 6148*s**5 - 6149*s**5 - 147*s**2 + 2 - 2 - 2*s**5 + (s**3 - 3*s**3 + s**3)*(2*s**2 + 3*s - 3*s).\nAnswer: -5*s**5 - 699*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*t - 0*t - 405, -3*t - 239 = -g. Let s = t - -118. Suppose 42*f - 615000 = s*f. Round f to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9, -7, -1, 9, 23, 41, 63?\n\"Answer: 2*o**2 - 4*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416*o + 2218*o + 444*o - 3055*o.\nAnswer: 23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 1:09 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21069885 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 15) in base 8?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 0*g**2 + 2*g**3)*(0*g + 5*g - 4*g)*(-42*g + 40*g - 1 + 24).\nAnswer: -4*g**5 + 46*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 119 - 356 + 119 + 118 + 37*l in the form g*l + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (0 + 0 + sqrt(1331) + sqrt(1331) + 1 + 5 + sqrt(1331) + 0 + sqrt(1331) + -1 + -4 + (sqrt(1331) - (sqrt(1331) + 0 + sqrt(1331))))**2)*5.\nAnswer: 1320*sqrt(11) + 239680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-331)\/3)\/(27\/(-1377)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.261914 micrometers?\nAnswer: 0.000000009261914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 1, 158, 6, -9, 2 in ascending order.\nAnswer: -9, -2, 1, 2, 4, 6, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 4*c + 2. Let i be b(2). Let d = 0.1878 - -0.1122. What is the biggest value in -0.08, i, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*u - 6 = 0, 5119*u - 3 - 1 = 2*p + 5035*u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*t - 2 - 2*t**3 + 15*t + 3 - 3*t**4 to n*t**3 + m*t**4 + j*t + u + o*t**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and 69.31.\nAnswer: 75.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 1)\/(354\/98502801) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*s + 29 - 51 + 22 to the form b + q*s and give q.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80147782 is divided by 1998?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -5. Let p = n - 13. Let k = p + 9.3. Which is the second biggest value? (a) 3\/7 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - -4 - 1446)*2\/(-5). Let q = d + -455. Calculate the remainder when q is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 3\/1 + -6. Let s = x + -3. Let o be (10\/4)\/(s\/(-10)). Solve -3*i + o*u + 6 = 0, -5*u - 30 = 5*i - 0*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99058 (base 13) in base 14?\nAnswer: -72ca3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1216) - (sqrt(1216) - (-1*sqrt(1216) + 0))) + 4 + (1 + 3*(2 + sqrt(1216)))**2).\nAnswer: 1640*sqrt(19) + 54985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0*v + 1\/24*v**4 + 1\/30*v**5 + 0*v**3 - 9*v**2 + 1\/120*v**6 + 0. Determine h so that z(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 3263.5\nAnswer: 13054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301308 is divided by 504.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 divided by 6.\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 72 = -178. Suppose -10 = 2*b, -4*u - 5*b + 8 = -71. Calculate the remainder when u is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16 + -22 - 170\/(-28). Let o(d) be the second derivative of 23\/30*d**5 - 2*d + p*d**7 + 0 + 1\/18*d**3 + 2\/3*d**4 + 17\/45*d**6 - 1\/3*d**2. Factor o(c).\nAnswer: (c + 1)**4*(9*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -714700 divided by 35?\nAnswer: -20420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/55 + (-105)\/308. Let z be 1\/(-12) - (-1)\/4. Which is the second biggest value? (a) y (b) z (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l - 504. Let s = l - 8. List the prime factors of s.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o**3 + 1. Let s = 96 - 96. Suppose 5*g + 63 = -3*h, s = -3*g + 8*g. Let n be (-27)\/h + (-6)\/21. Give t(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 209*s. Let y(g) be the second derivative of 8*g**3\/3 + 2269*g. Determine 6*l(n) - 77*y(n).\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -138428 - 5?\nAnswer: -138432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*d = -2*d - 468*d - 31968 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 - 8*y**2 + 0*y**2 - 9*y**2 - 27*y**2 + 58*y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 513*k - 1030. Give q(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8*a = -4. Let v be 2 + -4 + a + 1. Let u = 28 - 31. Put 2, v, u in decreasing order.\nAnswer: 2, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458*n + 18 - 458*n - 10*n**3.\nAnswer: -10*n**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1624.99999461 + 1625. Round s to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -18*p - 27. Let i be (147\/14)\/(-3) - (-1)\/2. Calculate the remainder when 75 is divided by a(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1255*o + 707*o - 836*o = 163312 for o.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*g**5*w**3 + 1585*g**4*w**3 - 4*g**2*w**3 - 71*g**2*w + 10*g*w**2 wrt g.\nAnswer: -2640*g**2*w**3 + 38040*g*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10*10*23\/(-4232).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (10627 - 10600 - 4*d - d)*(-d**3 + 6*d**3 - d**3) as j + y*d**3 + a*d + s*d**2 + n*d**4 and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**2\/7 + 68*m\/7 + 213\/7 = 0.\nAnswer: -3, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uguuj. Give prob of sequence ujuu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42582965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**5\/30 - z**4\/6 - 6*z**2. Let r(j) = 7*j**2 + 13*j. Let p(y) = 3*r(y) + 8*x(y). Find the second derivative of p(t) wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(1\/1)\/(1\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 8*r - 14 = 0. Suppose 23 = -4*p + 3*i, -3*p - 2*p + r*i - 27 = 0. Which is the second smallest value? (a) -2 (b) -3\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 165039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 6*n**2 - 7*n - 4. Let v(i) = -3*i + 23. Let c be v(-5). Let l = c + -43. Let p be j(l). Let f(q) = q**2 - 7*q + 4. Give f(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/11 + -17\/33. Let m = 883.182 - 895.1. Let y = m - 0.082. Is y not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-3)\/4*2\/(-4)). Let x(v) = v**3 + 7*v**2 - 10*v - 9. Calculate x(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1734*-1 + 11 + -13. Let q = y + 3336. Round q to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2)\/((-7)\/(-14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express v - 4*v + v + (-2*v - v - 23*v)*(-26 + 30 + 33)*(-3 + 2 - 1) + v + 6*v - 3*v as s + h*v and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 89*o - 1314. Give y(12).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 15 = -p - 22, h = -4*p + 77. What is the remainder when p is divided by ((-30)\/8)\/(-3 - (-126)\/48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*j - 1792 + 1741 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 828.5337 minutes to microseconds.\nAnswer: 49712022000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3 + 11480*t**2 - 261828*t - 273312 = 0.\nAnswer: -1, 24, 2847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**2 + 5*u + 6. Let g(z) = -12*z**2 - 11*z - 13. Let a be (-2)\/(-5) + (48\/(-20) - 0). Let w(v) = a*g(v) - 5*r(v). Give w(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i + 3*i)*(-14*i**4 + 4*i**4 - 21*i**4) - 7*i**4 + 3*i**4 - i**5 + 2*i**4.\nAnswer: -63*i**5 - 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 105 and -1577?\nAnswer: -165585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**4\/8 - 43*d**3\/4 - 113*d**2\/2 - 141*d\/4 + 819\/8 = 0?\nAnswer: -3, 1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8952 - -8954. What is the highest common factor of 547 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9\/4 (b) 1 (c) 3 (d) 1\/14 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4793*c - 31381038 + 31381038.\nAnswer: -4793*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-20))\/(3\/(45\/6)). Let x be 4*(7 + -7 - (-1)\/g). Let u = 0.7 - 0.4. Which is the second biggest value? (a) u (b) -0.5 (c) x (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 8*y - 13. Let d(n) = n**2 + n - 1. Let a(w) = -b(w) + 5*d(w). Let t(m) = -5*m**2 + 2*m - 7. Let g(i) = -6*a(i) - 7*t(i). Give g(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*-1*sqrt(720))**2 + (sqrt(720) - (sqrt(720) - ((sqrt(720) - (sqrt(720) + -1 + 1)) + sqrt(720))))**2.\nAnswer: 18722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4 + (-351)\/104)*8\/12.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 67*x**2 - 40 + 10*x**2 - 40*x - 12*x**2. Let y(i) = 694*i - 3473. Let n be y(5). Let w(z) = 5*z**2 - 3*z - 3. Determine n*h(b) + 40*w(b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1643176, 3286332, 4929488?\n\"Answer: 1643156*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**6*p)\/p)\/p*p*((p\/p**12)\/p)\/p)**(-24) assuming p is positive.\nAnswer: p**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5) - 3\/(-45). Let z = 0 + 5. Which is the biggest value? (a) z (b) n (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**5\/20 + 3*s**4\/4 - 4*s**3\/3 + 4*s**2 - 9*s + 12. Let o(l) be the first derivative of i(l). What is o(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -8. Suppose w = p - x*w + 11, 3*p + 1 = -5*w. Let l(b) = -31*b - 7. Let j be l(p). Round j to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54508840 - -4.\nAnswer: 54508844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(85\/20 - (-1)\/(-4)). Let f be (6\/(-2))\/6 - (-50)\/o. Solve 5*n - 2*y = y + 23, -4*n - 4*y + f = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((-11)\/154).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 6*m - 9 = 0. Suppose -5*w = 3*a - a - 641, m*w + 5*a = 377. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Suppose -13 = -l + 3*h, -4*l + z*h = -l - 57. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -13 + 5*j + 0*j + 4. Let a = -13 - -20. Is y(a) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and 925217.\nAnswer: -23130425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y = 5*h - 8*h + 17*y - 32, 4*y + 17 - 81 = 4*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3121, 7228, 11355, 15502, 19669, 23856, 28063?\nAnswer: 32290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 231532, -7.8, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l**2 + 77*l + 20. Give a(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 + 95 - 3*d**2 + 7*d + 5*d**2 - 51 to q*d**2 + c + b*d and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 4. Let o(n) = 101*n**3 - 4*n**2 - 2*n + 24. Calculate -4*k(u) + o(u).\nAnswer: 101*u**3 - 2*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p - 30*p = 13*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 13*a - 581. Calculate t(45).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 + 0 - (7 - 2) and 5130.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1881*t - 5515 + 5647*t - 1891*t - 1874*t to the form s*t + j and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m - 3965 = -3845. Let d = -1 - -7. Solve -m*g - d = -2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17528789 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 351383061?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w - 3. Suppose -23 = -4*s - 3. Let g(y) = -4*y + 2. Calculate s*u(n) + 7*g(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1550, -1, -3, -2 in ascending order.\nAnswer: -1550, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -46, -4, -2, 5, 1, 0.\nAnswer: -46, -4, -2, 0, 1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) 102849 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.73 - 32.27. Let y = 33.11 + u. Round y to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45611 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3203.194l to millilitres.\nAnswer: 3203194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-6) + (-1)\/2. Let c(y) = 0*y**u - 2*y - y**2 + y - 4*y. Calculate c(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 4*f**2 - f + 10. Let m be u(3). Calculate the common denominator of (-46)\/72*(-13 - -3) and m + ((-2660)\/90)\/((-8)\/3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -6. Let f be -7 - (-12 + 0) - (2 - 1). Let g(z) = 2*z - 1 - 7*z + f*z + 4*z. Give g(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127093389 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - u**2 - u + 1. Let a(m) = -2*m + 14. Let r be a(6). Let j(f) = 3*f**3 + 2*f**2 + 2*f - 4. What is r*z(w) + j(w)?\nAnswer: w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - 5*j - 11. Suppose -w - 4*h = -0*h, 3*h - 92 = 5*w. Let v = w - -24. Is a(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -10, -0.3, -0.5 in descending order.\nAnswer: 1\/5, -0.3, -0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1293835 rounded to 3 dps?\nAnswer: 0.129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 7*q**2 + 3*q - 4. Let b be k(-4). Let w = -20 + b. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Let s be 3*(q\/(-6) + 1). Let j = 9 + -14. Which is the third biggest value? (a) -2\/7 (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2060 and -31\/4?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29805?\nAnswer: 3, 5, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-27) - 330\/(-27). Let u(j) = 8*j**3 - j**2 - 2*j**2 - d*j**3. Does 10 divide u(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4 + 21\/6). Suppose -8 = -k*g, 3*a + 3*g - 12 = -0*a. Differentiate -a - 6 - 7 + 21*f**2 + 14 wrt f.\nAnswer: 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-six fifths of a tonne in kilograms?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.087 + -9.887. Which is the nearest to 0? (a) 1 (b) f (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-20 + 25\/5). Calculate the greatest common divisor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 40 = -22. Suppose 0 = 5*d + v + g, 0*d - 5*v - 15 = 2*d. Let f = -3 + 7. Solve f*k + d*k = 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u - 3*u - u)*(-125 + 1956 + 1621 + 35) to v*u + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -15. Let q be g\/(-6)*(-6)\/44. Let d = -0.35 - -2.35. Sort -1\/5, q, d.\nAnswer: -1\/5, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 6. Let v be j(10). Let t be ((-11)\/66)\/(2\/v). Factor -5\/3*o**4 - 2\/3*o**3 - t*o + 2*o**2 + o**5 - 1\/3.\nAnswer: (o - 1)**3*(o + 1)*(3*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 7*h - 20 = 0. What is the greatest common factor of h and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r**2 + 27*r + 126. Does 26 divide b(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3791670 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 + 1. Let g be b(-1). Suppose -8*f = -3*t - g*f - 1, 0 = -f - 2. What is the nearest to 0 in 1\/9, t, 3\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 3*c + 1 - 13 = 0. What is the nearest to c in 5, -1, 4, 83?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 7*h + 490560 = 60279, 5*h = r - 215098. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -7. Let j(p) = -p**3 + 8*p**2 - p + 8. Let z be j(8). Sort z, 5, g in decreasing order.\nAnswer: 5, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27117 is divided by 3146.\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 66707043.7 to the nearest one hundred thousand.\nAnswer: 66700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3580 = 3*d - 1781. Suppose -12*k + 301 = -d. What is the highest common divisor of k and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfrm when four letters picked without replacement from rsmmrggfsggrgrsrrg.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (799*(-254)\/(-537210))\/(1\/(-10)).\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18\/149 - -208\/745. Solve -1\/5*m + 2\/5*m**3 - 1\/5*m**5 + n - 4\/5*m**2 + 2\/5*m**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from {u: 3, a: 4, m: 1, j: 1, q: 1, v: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12952, 12951, 12950?\nAnswer: 12949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 1\/2*i**4 + 2\/3*i**3 - 5 + 0*i - 2*i**2. Factor u(x).\nAnswer: 2*x*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3601606.\nAnswer: 2, 1800803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 9116493 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**5\/15 - m**3 + 14*m**2. Find the first derivative of r(v) wrt v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y + 1. Let l(f) = 2*f - 1. Let p(b) = -l(b) - q(b). Let k(v) = 261*v. Give p(k(r)).\nAnswer: 522*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.12, 3, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {b: 1, f: 9, g: 1, v: 1}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6184.977 - -6166. Round b to one dp.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/(-6)*(-12)\/14. Suppose 0 = -3*z + 7*z + 3*g - 1963, -v*z + 1964 = 4*g. Is z a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (6\/(-6) + 2). Suppose -3*k = -4*n + 28, -o*k - 3 - 14 = -n. Put 3, 0, k in increasing order.\nAnswer: k, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-6)*(-2 + 4). Solve y*v + 15 = b, 5*v + 3*b + 19 = 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9127 or -8975?\nAnswer: -8975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*i)*(-485432*i + 2 + 488601*i - 2) to t + r*i**2 + b*i and give r.\nAnswer: 6338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3641)\/662)\/(12\/(-18)*(-9)\/12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y - 4. Let f be c(3). Let k(n) = -n**2 + 7*n - 7. Let j be k(f). Solve -6*v**4 + 3 + 4*v - 6*v**2 - 16*v**j - 2 - 1 = 0 for v.\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 78*k**2 - 760*k + 1970. Determine c(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 950771?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2. Let v = -6 + 9. Let r(b) be the second derivative of 0 - 1\/3*b**v + 0*b**2 + b. Give r(p(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:31 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18935 + 18985. What is the remainder when 5399 is divided by i?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -94, -85, -76?\n\"Answer: 9*j - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -4*a + g - 24 - 8, 4*a - 4*g = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -261000 by -145.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 723787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3511? (a) -3 (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.9 - -0.1. Let n = u - 6. Let y = -12.12 + 13.12. Which is the second biggest value? (a) n (b) -4\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 90. Let z = i + 48. What is the smallest value in -1\/4, z, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from daozaodoiaiidoodzaz. Give prob of sequence oiad.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + t + 13 = -41, 32*p - 304 = -4*t for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 7)*(-74*i + 57*i + 41*i) to the form q*i + b and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 222, 344, 504, 714, 986?\nAnswer: 1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2338419 is divided by 678?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 3*r - 4*r)*(3 - 3 - 2*r)*(-r**2 + 0*r**2 - 11*r**2 + (2 - r - 2)*(2*r - 4 + 4)).\nAnswer: -28*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -173 in 4\/3, -2, -2\/7, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 184 - 174. What is the highest common divisor of 50 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 20*l - 31. Let j be w(2). Suppose 0 = j*p + o - 71100, o + 42668 = p + 2*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1356813?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/7 in -1\/18, -54\/7, 151?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329768386?\nAnswer: 2, 223, 739391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 164217833 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*m**3 - 3*m + 2404*m**4 - 7*m**2 - 2402*m**4 - 2*m**2 - 2 + 0*m**2 + 7*m**2 in the form s + n*m**3 + d*m + k*m**2 + r*m**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 830*d + 11649. What is q(-14)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1116 = -3*k + 27*l - 31*l, 3*k - l = -1131. Let a = 378 + k. Solve 0 = -4*s - j - a*j + 14, j = -s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/1*((-44)\/(-12))\/(-11). Calculate the greatest common divisor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**5\/20 + 5*r**4\/12 + r**3\/6 - 3*r**2 - 4*r. Let q be w(5). Which is smaller: -1\/9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16745512 and -4?\nAnswer: -66982048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 3\/(-1 - 2). Let f = -1386 + 1386.02. Sort n, f, -7.\nAnswer: -7, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/90 and 55\/2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8*a - 1. Let z(c) = 160 + c**2 - 80 - 80. Give b(z(w)).\nAnswer: -8*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 88*t + 439. Let z be m(-5). Let d(p) = 6*p - 1. Let c be 2\/(2\/(-2)) + 3. Let h(w) = -w. Let r(k) = c*d(k) + 5*h(k). What is r(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 3)*(2*l + 0*l + 0*l) - 2*l + 0*l - 25*l + 3*l + 2*l + 0*l to a*l + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - h - 14, 7*h - 10 = 3*g + 6*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43061.\nAnswer: 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -780 + 7028\/9. Factor 4\/3*q**2 - 16\/9 + 2\/9*q**4 + l*q - 10\/9*q**3.\nAnswer: 2*(q - 2)**3*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**4\/4 + 11*a**3 - a**2\/2 - 35*a + 1065. Give s(-33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**8\/42 - g**4\/4 - 8*g**2. What is the second derivative of w(f) wrt f?\nAnswer: -160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109417 and 8203041?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 24. Suppose -3*h + 5*u = -2*h - 15, t*h - 3*u - 16 = 0. Suppose 25 = -5*i, -k + h*k - 2*i = 214. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i = -22 - 20. Solve 0*u - 2*u = l + 10, -i*l = -5*u - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1360 + 1361 - 2732)*(1 - 1 + k).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 e, and 1 f when four letters picked without replacement from {h: 2, g: 1, t: 4, f: 1, e: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -95720\/7057?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.1 - 4. Let u = -9.4 - -9. What is the closest to -2\/7 in 5, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*v - 15265, -7*v + 3*v + 12210 = 5*j. List the prime factors of v.\nAnswer: 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = 3*s - 32. Let a = 87 - s. Let r(p) = -725012*p + 24. Let j be r(a). What is j rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 8*z + 31\/2*z**2 + 0*z**4 - 1\/6*z**3 - 2 + 19\/20*z**5. What is the first derivative of n(m) wrt m?\nAnswer: 57*m**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526957 bigger than 1526957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*i = -17 + 2, 2*i + 12 = 4*q. Let a(d) = d. Let b(x) = 4*x - 17. Let s(y) = -6*a(y) + b(y). What is the remainder when s(-12) is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**2*o**6 + 2*n**2*o**2 - 33*n**2 + 36*n*o**6 wrt o.\nAnswer: -240*n**2*o**3 + 4320*n*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -198*o + 4. Let t be (-4)\/8*(-5 - -7). Does 23 divide q(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-154)\/(-231) + (-8695)\/(-3) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19682 is divided by 9779.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffpffpffipp. What is prob of sequence ifff?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f - 7 + 7*f**2 - 2 + 0*f + 12 + f**3. Let m(g) = 3*g**2 + g - 2. Let p be m(2). Suppose p = 11*d + 67. Calculate b(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p - 8. Let r(f) = -9*f - 16. Let z(n) = 7*a(n) - 4*r(n). Give z(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i - 23. What is h(9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 3\/5 (c) -10\/7 (d) 17 (e) 321\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4851 = -16*x - 5*x. Is 33 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10469927748 less than 0.35?\nAnswer: 10469927748.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/601638 and 47\/1773.\nAnswer: 1804914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 3*q + 4*q)*(1 - 5 + 0) - 4 + q + 1 + 1 + (-32 + 9 + 8)*(5*q - q - q).\nAnswer: -48*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/23088 and 137\/438679696?\nAnswer: 1316039088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*b - 26*b = 3078 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y + y - 5*y + (2 - 7 + 3)*(-12*y + 10*y - 10*y) to the form w + q*y and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11211 + 0?\nAnswer: -11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrreerellleerrr. Give prob of picking 2 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n. Let x be m(4). Suppose 330 = x*h - 2*s, 0 = h + 2*s + 3*s - 99. Let z = h - 50. Calculate the remainder when z is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/5 + 0 + 111119360\/8800?\nAnswer: 2, 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by (65\/35 + 3)\/((-2)\/(-14))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (4*9)\/(-14 - 88\/(-6)) and 576.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.823748l in millilitres?\nAnswer: 9823.748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6697970 and 85506?\nAnswer: 20093910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/70, -3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -6\/7*u**7 + 0*u**2 + 0*u + 1 + 0*u**5 + 0*u**4 + 0*u**6 + 8\/3*u**3. Find the third derivative of n(j) wrt j.\nAnswer: -720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5364579 divided by -169?\nAnswer: 5364579\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 377835.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + ((sqrt(13)*-1 - sqrt(13) - sqrt(13) - sqrt(13)) + 0 - (sqrt(13) - (sqrt(1573) + -1))))**2 - (-2*((sqrt(1300)*1 - sqrt(1300)) + -4))**2)*-2.\nAnswer: -816 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 23. Let s be (u\/(-10) - 3)*10*-1. Suppose -i + h + 3 = -0, 3*i = -3*h + s. Solve 5*o - 25 = 4*f, i*f = 2*o + o - 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - w - 2 = -1, 4*k + 8 = -5*w. Suppose -h - 8 = -k*h. Let f be h\/10 + (-9)\/(-15). What is the nearest to f in -4\/7, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, a: 1, j: 1, d: 1, m: 1}. Give prob of sequence bm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1388, -3907, -7562, -12353, -18280, -25343, -33542?\nAnswer: -42877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 2532040\nAnswer: 1\/633010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 7*j**2 - 5*j + 7. Let c be b(-5). Let r = -56 + c. Let l(x) = -x + 3. Calculate the remainder when r is divided by l(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 76*w**2 + w - 2. Let p(o) = -75*o**2 - o + 1. Give -4*p(c) - 3*s(c).\nAnswer: 72*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50321187?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 10 + 14 = 0. Let o(p) = -7690*p - 7657. Calculate the lowest common multiple of t and o(-1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144 + 290. Let o(w) = -w**3 - w**2 + 37. Calculate the remainder when k is divided by o(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/47436 and 113\/4824.\nAnswer: 284616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1027.085 - 1023. Let i = r + -0.085. Suppose -7*f = -2*f + 20. Which is the third smallest value? (a) -5 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y. Let w(b) = -10673*b + 26. What is d(w(p))?\nAnswer: -10673*p + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*p - 17. Let f = -2482 - -2488. Solve p*q - f*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3 + 13*p**2 + 30*p = 0. Calculate p.\nAnswer: -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1038 divided by -9\nAnswer: -346\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34674 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: Calculate the remainder when 142 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35, 377, 1029, 1991, 3263, 4845, 6737?\n\"Answer: 155*p**2 - 123*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*n - 926*n + 2381*n = 74171 + 51685 for n.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxexxxexee. What is prob of picking 4 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 532 + -535. What is the closest to -1\/3 in y, 3\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 273 = -4*n. List the prime factors of n.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 3*k - 5. What are the prime factors of w(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*o = -10, -24*j + 3*o - 25 = -26*j. Suppose -j*a = -15*a - 3*w + 44, 4*w = -4*a + 160. Which is smaller: 43 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297949.3 rounded to the nearest 1000?\nAnswer: 298000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/5)\/c)\/c)\/(c**(-1)\/c)*(c\/(c**(1\/5)*c)*c)\/c**(2\/7))**(-41) assuming c is positive.\nAnswer: c**(-164\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*o - 28 = 0, s + o = 6*s - 50. What is the lowest common multiple of (3*-6)\/6 - (-4 - 1) and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1.88. Let q = g + -0.13. Round q to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 226816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 14*a. Let t(x) be the first derivative of -4*x**3\/3 - 21. Give t(s(z)).\nAnswer: -784*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -51141 divided by -3\nAnswer: 17047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -21. Calculate the highest common divisor of x and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-16)\/(-520)*-15)\/2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 10*d - 4. Let l be x(-4). Let b(m) = m**2 - 21*m - 5. Let o be b(l). Let z = 81 + o. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -99*a + 21*a + 0 + 8 + 4 - 13. Let h be o(0). Let n = 6 + -5.6. What is the nearest to h in -6, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 228 by 76.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 125, 295, 533, 839?\nAnswer: 1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**3\/3 + 27901472*b**2\/3 + 55802950*b\/3 + 9300492 = 0.\nAnswer: -1, 13950738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/2 + 300*v**2 - 26775*v\/2 - 165375.\nAnswer: -3*(v - 105)**2*(v + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.31 take away 21397719528?\nAnswer: -21397719523.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 7*q**2 - q - 4. Let v(y) = 5*y**3 - y**2 + 7*y - 9. Let f(s) = -s**3 - s**2 + 1. Let m(l) = -6*f(l) - v(l). Let p be m(-8). Is j(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -20*g**2 + 27*g + 29. Determine o(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 13 = -3*c. Suppose -3*z + c*n + 81 = 0, -3*n = -2*z - 0*n + 50. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.15529 rounded to one decimal place?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0 (b) 0.0098 (c) -696\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 8*c + 11. Let u be w(-9). Solve 0 = u*j + 2*j + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1497*l - 29031 = -1498*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 2*y + 27 + (-2*y - 2*y + 2*y)*(4 + 1 - 3) + 4*y - 5*y - y + 5 - 5 - 3*y)*(0*y**3 + 0*y**3 - y**3).\nAnswer: 11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**4\/10 - 22*a**3\/15 - 4*a**2\/5 + 88*a\/5 - 3648. Factor v(x).\nAnswer: 2*(x - 11)*(x - 2)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29297138.7 to the nearest 1000.\nAnswer: 29297000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 687486510 and -1893?\nAnswer: 687488403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324 a factor of 17728816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 6*d - 2. Let t(r) = -2*r**2 - 9*r. Let u(g) = 6*n(g) - 5*t(g). Differentiate u(s) with respect to s.\nAnswer: 8*s + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3764 = 103*z + 3764 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r - 1041962*r**2 - 3 - 12*r + 5 + 1042029*r**2.\nAnswer: 67*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -2\/13 (c) -0.32 (d) -14 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4517561 litres to millilitres.\nAnswer: 451.7561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-2*6\/(-4). Let g = -23 - -18. Sort g, -4, m in decreasing order.\nAnswer: m, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/5, 2\/207, 5, -89 in ascending order.\nAnswer: -89, -1, -2\/5, 2\/207, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 83249472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.51 + 7.91. Let r = k + -7.11. Let y = -0.2899948 + r. Round y to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2787*u + 1 = -2*r - 2790*u, 2*r + 176 = 32*u for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/17 + 21\/68. Let z = 7 + -10. What is the nearest to z in -2, m, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7939 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + 2 + (-138)\/(-36). Which is greater: 17 or x?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19, 16, 17, 28, 55, 104?\n\"Answer: y**3 - 4*y**2 + 2*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*d - 16 = 0, 5*q + 16*d - 11 = 12*d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109*k**6*u - 564*k**4*u**2 + k**2*u**2 + 10*k*u**2 - 6143*u**2 + u wrt k?\nAnswer: 13080*k**3*u - 13536*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61)\/(11712\/(-2448))*-4.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -9*w**2 - 4*w - 8. Let l(i) = i**2 + i + 1. What is g(d) + 5*l(d)?\nAnswer: -4*d**2 + d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 5*t**2 + 118*t - 1447. Determine n(10).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1256 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 21 - 10 = 0. What is the lowest common multiple of k and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, z: 1, i: 2, q: 1}. Give prob of sequence izq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-3*4*-3)\/(sqrt(80)\/(sqrt(10)*2) - (sqrt(800) + sqrt(800)*1 - sqrt(800) - sqrt(800))).\nAnswer: 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 5 + -14)\/(3\/(-4)). Calculate the greatest common factor of 144 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -5 (b) -3 (c) -1 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 14 = 3*y, 0*y = -3*y - 2*c + 16. Calculate the lowest common multiple of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 265 - 263. Let b(g) = g**2 + g + 2. Determine b(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 28224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 3 (c) 4 (d) 53\/5 (e) -3 (f) -22.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 - 58*t - t**3 + 54*t)*(-t**2 - 2 + 2).\nAnswer: -2*t**5 + 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/8*48\/(-36) + 138 is divided by 40.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3082392 by -24.\nAnswer: 128433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3\/11 + 800134*b**2\/11 - 80055199440*b\/11 + 5679886400568\/11 = 0. What is b?\nAnswer: 71, 199998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*p + 439926 = 0, 4*h + h = -3*p + 549926. Suppose s + 0*s = -4*v + h, s = -3*v + 109988. Round s to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j = 7*j + 12. Let k(u) = u**2 + 3*u - 3. Let x be k(-4). Calculate the greatest common factor of x and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*c**2 - 456*c**2 - 15040 + 15040.\nAnswer: -552*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mam.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -910.28 rounded to the nearest 10?\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 73*k - 3 - k**2 - 73*k + 13*k**2. Let x(t) = -16*t + 2*t + 7*t + 0*t + 5*t. Give v(x(a)).\nAnswer: 48*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -0*q - 2*q. What is the least common multiple of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -59ea5?\nAnswer: -59ea6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 763*s**3 - 2566*s**3 + 1301*s**3.\nAnswer: -502*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + -1 + sqrt(99)\/sqrt(1089) + ((2*sqrt(77) - sqrt(77))*2)\/(sqrt(175)*-2 + sqrt(7)).\nAnswer: -13*sqrt(11)\/99 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = 4*o - 9. Let p = -61 + o. Solve 0 = f - 0*f + p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*s + 20*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (88 - 34)) + ((-5 - -5) + -2 - -3)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 211211364 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56624458 and 6.\nAnswer: 169873374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**5 + 7*f**5 - 3*f**5 + (2*f + 0*f + 11*f)*(1 - 1 - f**4).\nAnswer: -9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(180\/(-788)) + 10\/2. Let m = t - 27. Let r = -10 + 11. Which is the second smallest value? (a) m (b) -0.02 (c) -5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222934969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, -12, -82, -222, -456, -808?\nAnswer: -1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4039.7 or -2\/2669?\nAnswer: 4039.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 621, 624, 623, 618?\n\"Answer: -2*h**2 + 9*h + 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 279034426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.069\nAnswer: -0.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304042 (base 6) to base 16.\nAnswer: -5e9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 1199 + 45*h**2 + 1194 + 2*h to the form i*h + l + x*h**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 384\/55?\nAnswer: 384\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 40 = -c. Calculate the remainder when c is divided by (3\/5)\/((-2)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z - 2*z - 2 + 0*z. Let n be (-5)\/3 + (-46)\/138. Let d(y) = -y**2 + y. Calculate n*d(u) + s(u).\nAnswer: 2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46978\/5 - 9433. Let y = 3543\/95 + l. Is y != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -945 - -944. Which is the nearest to x? (a) 1\/5 (b) 1\/2 (c) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 - 56. Suppose -2*l - 15 = -o. Solve -2 = 2*x + l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 2*b - 20 = 0. Suppose 21 = 3*l + 4*f, l - 7 = f - b*f. Let r = 8 + 2. Calculate the least common multiple of l and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 11:44 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 11:46 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*k - c + 121, -4*c + 100 = -4*k. Is k smaller than -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*x - 4 = 0. Calculate the least common multiple of 9 and x\/(-13) - (-350)\/91.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119 - -135. Let n(s) = -2*s**2 + 39*s - 16. Let b be n(q). What is the common denominator of -7\/33 and (1 - 1) + 572\/b?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 18*c + 20*c**2 + 8 + 6 + 3*c**3 - c**3 - 32*c**2 - c**3. Let j be a(11). Is j equal to 90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97273 and 4477?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4067002, 8134011, 12201022, 16268035, 20335050, 24402067?\n\"Answer: u**2 + 4067006*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-55)\/11 - -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 11436\/(-5)*(-5)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*q**3 + 32\/5*q**2 - 4\/15 + 14\/5*q.\nAnswer: 2*(q + 1)**2*(25*q - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*n**3 + 2*n - 12 + 0*n**3 + 1746*n**5 + 4*n**2 - 9806*n**5 wrt n?\nAnswer: -483600*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/13552 and -41\/1232?\nAnswer: 13552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 515 - 515.3. Put 0.1, -21\/4, 0, w in increasing order.\nAnswer: -21\/4, w, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 3*j**4\/2 - 3*j**3 + 7. Find the third derivative of k(o) wrt o.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 838760 and 170.\nAnswer: 14258920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.4784\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12984, -12957, -12878, -12717, -12444, -12029, -11442, -10653?\nAnswer: -9632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 6)*(o**3 + 2*o**3 - 6*o**3) - 2*o**3 + o**2 - o**2 - 2*o**3 + o**3 + 0*o**3)*(4 - 5 + 3 + (2 + 3 - 6)*(4 + 3 - 5) - 3 - 1 + 3 - 2 + 0 + 0).\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12474 and 1001?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 11*r + 32. Let b(a) = -a**2 - 12*a - 42. Let g be b(-8). Let o be f(g). Calculate the highest common factor of 77 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89268 is divided by 608.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(1100) + 0 - (2 + sqrt(1100) + -4 + sqrt(1100) + 4))*-2.\nAnswer: 4 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324322*t - 549155*t - 254528*t.\nAnswer: -1128005*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = -4*f + 11*k + 298, 5*f + k = 383. Let i = f - 74. Let t(r) be the third derivative of r**5\/60 + r**4\/8 + r**3\/3 - r**2. Determine t(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76? (a) 1.23 (b) -1\/111 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + -3 + (-150)\/(-5) - -153?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*(y\/((y**24*y)\/y))\/y*y*y)\/y)\/y)\/y**(-18\/13)*(y*y**(-4\/9))**(-2) assuming y is positive.\nAnswer: y**(-2542\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-5 - -1) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 9:49 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 0.2 (c) -4 (d) 1 (e) -1919\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49726 is divided by 16569?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 22.00044. Round q to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007216 to 5 decimal places.\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**5\/60 - m**4\/6 - m**3\/3 - m**2. Let t(i) = -i**2 + i. Suppose 1327 = -p + 1328. What is p*k(v) + 4*t(v)?\nAnswer: -3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -50. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2379 + 264 = 9*u. Let k = u + 366. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 338904 and 1863972.\nAnswer: 3727944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -3\/5 (c) 0.31 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w - 371 + 331 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1007*f - 2. Let g(p) = -1996*p - 5. Calculate 7*c(i) - 3*g(i).\nAnswer: -1061*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 + 10.4. Let v = o - 15. Let i = v + 7. Which is bigger: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 87876613?\nAnswer: 87876615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -400268 divided by 121?\nAnswer: -3308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxz when three letters picked without replacement from nnnnnnnnxmzmzs?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*b - 2*b. Suppose -p = l + 2 - 3, b*p = 4*l + 14. Put 5, -4, l in decreasing order.\nAnswer: 5, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193920155 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 2\/13 (c) 12\/127 (d) -416 (e) -4 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 627228860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**5\/70 + w**4\/21 + w**3\/7 + 2*w. Let t(c) = 0. What is c?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 699 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1677745 (base 10) to base 11.\nAnswer: -a46573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101235382 - 58635383. Suppose -2*f - 21839480 - 6560516 = -4*r, -3*f = -r + a. Round f to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 739618884 divided by 18?\nAnswer: 41089938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -564132402, -564132404, -564132406?\n\"Answer: -2*m - 564132400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + o**2 - 3 + (2*o + 0*o - 4*o)*(-o + 4*o - 4*o) - 30*o - 16 - o**2 + 14 + 2*o**2.\nAnswer: 4*o**2 - 30*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157*b + 192*b - 39*b to the form r + m*b and give m.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 168 - 180. Which is the third biggest value? (a) -0.2 (b) -1\/6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from {i: 5, v: 3, y: 6, z: 1, d: 2}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 i when three letters picked without replacement from ccfdieiceicfci.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8065.986 + 8053. What is k rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = 0, 3*x + 4*f = x - 10. Let w be (x\/9)\/(1\/(-3)). Which is smaller: 8\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*o - 12. What is the third derivative of m**3 + 0*m**3 - 3*m**o + 4*m - 4*m wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (276*q + 241*q - 942*q - 794*q)*(-2*q**2 + 7*q + q**3 - 24*q + 7*q) in the form d*q + l*q**4 + f*q**2 + s*q**3 + g and give l.\nAnswer: -1219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2764*v**2 - v - v**4 + 16 - 2*v**4 - 2763*v**2 to the form b*v**4 + s*v**2 + a*v + o + c*v**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/5346528 and -109\/71712.\nAnswer: 48118752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 57*r**2. Let a(d) = 3*d**2. Give h(a(p)).\nAnswer: 513*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 8. Let z(s) = -10. Let m(p) = -5*o(p) - 4*z(p). Let u(d) = 6*d**2 - 10*d**2 + 5*d**2. Give m(u(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20199.\nAnswer: 3, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -14. Let i = 33.1 + -36. Let h = i + 3. Is h bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 19*m + 1. Let i be v(1). Let a = i + -8. Let o = 93 + -72. What is the remainder when o is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 0. What is the lowest common multiple of 2 and (48\/u)\/((-4)\/(-42))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 591 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 0*f**4 + 0*f**3 + 19\/2*f**2 - 61 + 3*f - 54\/5*f**5. Find the second derivative of b(y) wrt y.\nAnswer: -648*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -101, 44 in ascending order.\nAnswer: -101, -3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (54\/(-56))\/(108\/99) and -103\/38.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**2 + 10*m**2 + 12*m**2.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 j, 1 h, and 1 l when four letters picked without replacement from {s: 1, l: 5, j: 3, d: 2, h: 1, b: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -748*d = -749*d - 1 - 6 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 at least 21174\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 75.77494 and 0.3.\nAnswer: 76.07494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -120\/52727 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2\/3*u**2 + 2\/3*u = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*q - 23 - 7*q + 24*q - 3*q to w + v*q and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*y + 174*y - 30*y + (-3 + 2 - 1)*(-1 + 2*y + 1) to the form f + a*y and give a.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*n + 55, 4*n + 1 = -3*o + 20. Suppose -2*g = -o - 17. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 4\/5 (c) 1391\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -405 divided by 242.\nAnswer: -405\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 14) to base 11.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 0*m**2 + 7*m**3 - 1358*m + 1449*m.\nAnswer: 7*m**3 - 2*m**2 + 91*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1721, 3385, 5027, 6635, 8197?\nAnswer: 9701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.1 * -27.\nAnswer: -191.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8471 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/21 and -1\/4512627.\nAnswer: 4512627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) 4 (c) -4\/21 (d) 0 (e) 152\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*s**4\/9 + 2*s**3\/9 + 44*s**2\/9 - 2*s\/9 = 0.\nAnswer: -1, 0, 1\/22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 9*y**2 + 8*y + 11. Suppose v + 4 = -4. Let j be n(v). Let g be (-2)\/8 + (-2)\/(-8). Solve 4*s - j = 2*c + 1, g = -c + s - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 462405794 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 1 = -d. Suppose -d = -b + 2. Solve -5*l + 1 = 4*a - 9, b*l + 2*a - 6 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/69, 0.4, -2, 56\/5, -1, 2\/21, -0.39?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 301 - 44440?\nAnswer: -44134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1085 (base 9) to base 13.\nAnswer: -4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.2747 + 48.601343\nAnswer: 47.326643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 divided by 4.\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 9*u + 11. Let h(g) = 4*g + 1. Let t be h(-1). Let m be (t + 1)*(-4)\/(-1). Let p be f(m). Which is smaller: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + b = 26, 86*x = 83*x + b - 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6966\/35 - 993\/5. Suppose 3*z + 4 = 19. Which is the biggest value? (a) z (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffbfbbbb. Give prob of sequence bbb.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**4\/12 - 5*m**3\/6 + m**2. Suppose -10*w + 7*w = -5*o - 29, -14*w + 5*o = -117. What is v(w)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118575634?\nAnswer: 2, 181, 327557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1618*a**5 + 5*a**4 - 239*a - 10. Let d(n) = 810*n**5 - 3*n**4 + 118*n + 6. Let t(g) = 5*d(g) + 3*h(g). What is the second derivative of t(j) wrt j?\nAnswer: -16080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and 0.02212546.\nAnswer: 7.02212546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/8 (b) 1\/3 (c) 3\/2 (d) 0.4 (e) -210\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 2*w + 17*w**2 + 7*w**3 - 8*w**3 - 2 to c*w + y*w**2 + l + x*w**3 and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + a**2 + ((-2*a - 7 + 7)*(5 - 1 - 1) - 4*a - 2*a + 2*a)*(1 + 3 - 3)*(2*a - a + a).\nAnswer: -19*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((2 - 2) + 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2. Let o(h) = -5 + 881*h - 12*h**2 + 5 - 881*h. What is 6*o(j) + 22*u(j)?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, 33 in decreasing order.\nAnswer: 33, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m + m - 3*m. Let p(y) be the first derivative of 58 + 2\/3*y**3 + 0*y + 0*y**2. Calculate v(p(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucczccccuzcuccczcc. Give prob of picking 2 u.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 2*p - 78*p**3 + 0*p.\nAnswer: -78*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 1)*(-1 + 0 + 3) + (2 - 1 + 0)*(0 - 2 + 5) + (-3 + 3 + 2)*(-27 + 34 + 23))*(-2 + 5 - 1)*(k + 8*k - 4*k).\nAnswer: 650*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 103032 (base 7) to base 3\nAnswer: 220111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497306249 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108 - 3457\/32. Let q = l - -407\/224. What is the common denominator of ((-97)\/8)\/((-1)\/2) and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -136 - -137. Solve -4*h + 5 - b = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2412 and 109612?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1421?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**2 - 6*u + 6. What is q(4)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-63427)\/205 - (-2)\/10. Let g = -310 - l. Which is the biggest value? (a) g (b) 0 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 349 divided by 269?\nAnswer: 349\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 24 = 2*n. Suppose 5*p = p + n. Solve 2*r + 2*i + 4 = 6*r, 4*i = -2*r + p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3 - 14125*h**2 - 53480208*h - 24957013824 = 0. Calculate h.\nAnswer: -6792, -541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3643 (b) 5 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*a - 8*a + 5*o + 13, 2*o = 2*a - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 180964052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 10:45 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5131*w - 435. What is n(0)?\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2. Let y(i) = -6*i - 2. Let l(a) = 75*a + 27. Let v(u) = 4*l(u) + 54*y(u). Determine q(v(m)).\nAnswer: -576*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - t + 10 = 0, -4*t - 35 = -5*y. What is the remainder when (-4)\/24 + 50\/12 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5737+-6.43\nAnswer: -5743.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (281 + 1669*c + 1663*c - 3330*c)*(-9 - 7 + 5*c + 13).\nAnswer: 10*c**2 + 1399*c - 843","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.353873 and -0.025807948.\nAnswer: -0.379680948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 407822549?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1670340 = 8797*d + 5297*d + 1814*d for d.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -281 - -282. Which is the second biggest value? (a) -0.1 (b) r (c) 2\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103130212201 - 10?\nAnswer: 103130212131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40363 - 16.\nAnswer: -40379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.29 + -0.12. Let w = j + 0.01. Which is the biggest value? (a) w (b) 1\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/4))**(-31)*(r*r\/(r*r\/(r*r**(-2\/5))))**4 assuming r is positive.\nAnswer: r**(513\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - -11. Suppose -5*i + 14 - 44 = -5*g, 5*g = -5. What is the remainder when r is divided by (-5*(8 + i))\/(2\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -188 greater than or equal to -134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 6:24 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2*6)\/(sqrt(99)*-2 + sqrt(99) + sqrt(11)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - h - 6*h**3 - h**3 + 3*h**3.\nAnswer: -4*h**3 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*m + 54 = -8*m - 6*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1932 + -1930. What is the second smallest value in -5, h, -18?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6628\/7 + -26553\/28. Calculate the common denominator of c and -119\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 16*j**2 + 20*j - 69. Is c(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/5)\/(u\/((u\/(u*u**30))\/u))*u*u**(-1\/43)*u**(-35)*u)**33 assuming u is positive.\nAnswer: u**(-459921\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 13*w**2 + 9*w + 11. Calculate o(-14).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 12476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 10*y - 4. Suppose 0 = -3*q + 9 + 12. Calculate the remainder when 32 is divided by m(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**3*u**4 - 927*k**3 - 2*k**2 - 473*u**4 with respect to u.\nAnswer: -8*k**3*u**3 - 1892*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 20*q + 14*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/1095 and -115\/2628?\nAnswer: 13140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from svvfcmr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 359, 527, 691, 851, 1007?\nAnswer: 1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*i - 86 + 24 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 492 - 3440\/7. Determine z, given that 0 + o*z**4 + 16\/7*z + 32\/7*z**2 + 20\/7*z**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 182 - 182.202. Let t = q - 1.148. What is t rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, g: 9}. Give prob of sequence ng.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from yvvvyvyvyyyvvyyvvy?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2671995.\nAnswer: 3, 5, 53, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 893*z + 1897 + 780 = -7146 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjj. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(-4) - 1\/4. Let l = 8 + -10. Which is the closest to l? (a) s (b) -1\/6 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*11\/((-2541)\/14). Suppose 0 = 2*w + w - 3. Is w at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/7 of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 5 + z**2 + 3 - 31 + 3 - 20*z to the form n*z**2 + v*z + x and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*(-12)\/(-9).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 11 = -4. Let c(u) = 7*u**2 + 7*u + 6. Let i(a) = 8*a**2 + 8*a + 7. Calculate x*i(l) + 6*c(l).\nAnswer: 2*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3\/4, -23 in decreasing order.\nAnswer: 3\/4, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4089 + -224901\/55. Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -715619611*p + 949412714?\nAnswer: -715619611","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 7*f + 1. Let s be j(-7). Let m be 1 + 9 + 0 + s. Is 10 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23929, -4\/7, 0.8, 4\/9 in decreasing order.\nAnswer: 23929, 0.8, 4\/9, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 21 = -3*s, -4*h = s + 3*s. Let q(d) = -193335*d + 5. Let a be q(s). Round a to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18, -372, -1328, -3186, -6246, -10808, -17172, -25638?\n\"Answer: -50*i**3 - i**2 - i + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-3)\/(-36)*48\/(-36)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -9*i + 45. Let y = -10503 + 10503. Determine u(y).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 20. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2664 and 920042.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-3) + -3 + 5. Let j = -106 + 106.89. Let u = -0.49 + j. Which is the nearest to x? (a) 5 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -1\/65 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 plus 140672936.1?\nAnswer: 140672934.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*a - 166 = 0, -a = -3*d + 2*a + 123. Let l be 57\/21 - (-12)\/d. Is (751\/(-2))\/(((-6)\/4)\/l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Suppose -i*f = -f - 4. Solve 2*w = 3*w + f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13242726 and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2916992.4 months to years.\nAnswer: 243082.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -92*c - 366. Let w be l(-4). Which is bigger: w or 472?\nAnswer: 472","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l. Suppose -3*q - 14 = -5*r, 3*q - 3*r - 3 = -9. Let k(o) = -25*o**q + 9*o + 24*o**2 - 9*o. Determine m(k(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -212, 0.2.\nAnswer: -212, -2, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + (-5 + -2 + sqrt(396))*6 + -3*sqrt(396)*2*-4 + 3)**2.\nAnswer: -15120*sqrt(11) + 358164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 207 = -113. Suppose a = 65 + l. Suppose -2*r - 3*r + 217 = -4*d, a = 3*r - 2*d. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 271 + -229. Suppose -72 = -11*a + 8*a. What is the smallest common multiple of a and c?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-4)\/(-2))*-2. Let z be (3 - 4)*0\/p. Suppose -2*d + 11 - 5 = z. Calculate the remainder when 11 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*f + 8 = -43, -42 = -3*l - f. Solve 0 = 3*z - 4*p + l, 0 + 13 = -5*z - 2*p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2155 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: Suppose b + 17 = 4*c, 7*c = 3*c + 5*b + 21. Suppose 20 = -3*t + 2*n + 6, c*n = 16. Is 5 a factor of 10\/2*(-10)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - u = -15*r + 31784, 5*r - 2*u - 79460 = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6362*b**2 + 5777*b + 68208001 wrt b.\nAnswer: 12724*b + 5777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129 - -133. Sort f, -2, 5, -2\/5.\nAnswer: -2, -2\/5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.1, -9, 6\/13, -1.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 1:12 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhsz. Give prob of sequence zzs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/8 (b) -310.5 (c) -0.3 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -58 - 7b?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -175*b + 14. Let n be v(2). Let f = 5038\/15 + n. Is 0.2 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 598.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*n = -42*n + 281 + 159. Solve 5*v + f = -v + 1, n*f = -v - 19 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923265065 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -18*(-4)\/6 - 26\/13. Let j be a\/8 - 486\/24. Round j to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0*m + 2*m)*(m**4 + m**4 - 4*m**4) + 39*m**5 + 875*m**3 - 875*m**3.\nAnswer: 31*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/57*(5\/(-10))\/1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-12))\/i**(-5)*(i*i**(-2\/3)*i)\/i**1 assuming i is positive.\nAnswer: i**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1042044302 (base 5) to base 12\nAnswer: 92aba8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54\/553 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -324*p**2 + 1904 - 1904 - 1 + p**2 + 1 + (2 - 2 - 1)*(3*p**2 + 2*p**2 - 4*p**2) + 2*p**2 + 2*p**2 - 5*p**2.\nAnswer: -325*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1020130 - 1?\nAnswer: 1020123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6 + (-1)\/3. Let t(j) = 1. Let m(y) = -2*y - 2. Calculate v*m(r) - t(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*b**6 - 12*b**2 - 2*b**2 - 2*b**2 - 2*b**2 wrt b?\nAnswer: 960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177 + 177 - 41*d**2.\nAnswer: -41*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-14) + (-10 - (-7 - 5))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d722 (base 16) in base 9?\nAnswer: 313308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l = 7. Let b = l - -4. Suppose 0 = 5*w + 4*t - 23, w + 22 = -4*t + 33. Solve 2*d + w*p + b = -0*d, 2*p + 6 = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -48*y**3 + y**2 + 2*y - 4. Give c(1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/12 - 4*o**3\/3 - 13*o**2\/2 + 25*o + 3. Let a be b(-4). Suppose 0 - 3*w**3 + a*w**2 + 3\/4*w**4 + 0*w = 0. What is w?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1516 - -1516. Put 4, 1, -2, s in descending order.\nAnswer: 4, 1, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -34*x + 5. Calculate the remainder when l(-3) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9*(0 + (-2)\/(-3)). Let r be ((-8)\/(-42))\/(4\/i). Let c = -0.035224 + 0.235224. What is the closest to 2\/7 in c, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 411 (b) 4 (c) 1\/2 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -11*n**5 - 6*n**4 + 68*n**2 + 42*n + 34. Let h(j) = j**5 + j**4 + 3*j - 2. Let b(u) = -6*h(u) - v(u). Find the second derivative of b(a) wrt a.\nAnswer: 100*a**3 - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 divided by 73?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7*r - 459 = 0. Suppose q = 4*c - r, -3*c + c + 66 = -4*q. What is the remainder when c is divided by (-10)\/((-1)\/3*15\/10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, t: 8, l: 6}. Give prob of picking 1 l and 3 t.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84075, -336274, -756605, -1345068, -2101663, -3026390, -4119249?\nAnswer: -5380240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - 0\/4)*1. Suppose -57 + z = -5*i. Suppose -3*a - v = -i, -a + 6*a - v = 22. Solve 4*l + 2*f = 0, -2*l - f - a = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c5 - -784?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10599493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -98 or 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 312602 + -505452. Round g to the nearest 1000.\nAnswer: -193000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 107*o**2 + 8*o + 126. Let u(h) = 6*h + 55 + 10 + 17 + 161*h**2 - 55*h**2 + 44. Let v(m) = 3*p(m) - 4*u(m). What is the derivative of v(k) wrt k?\nAnswer: -206*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 - 1.22. Let d = 1.28 - v. Put 0.2, -1\/7, d in decreasing order.\nAnswer: d, 0.2, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 + 190\/(-20))\/((-9)\/4). Let t = 0.1 - -0.4. What is the nearest to -0.2 in t, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -10*s - 3. Let u be j(-1). Solve -u*t = -3*t + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3130038211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 129073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72110770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/8))**(3\/2)\/(q**(2\/5)*q**12))**(-18\/11) assuming q is positive.\nAnswer: q**(8523\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 43 = 15. Suppose -12*j = -v*j - 170. Calculate the remainder when 46 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**9)**(-3\/14)*(i\/(i*((i**(-4\/23)*i)\/i)\/i))**(-2\/53) assuming i is positive.\nAnswer: i**(-33669\/17066)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 178*h**3 + 3*h**2 + 238*h.\nAnswer: 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 5:59 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(56)\/sqrt(2))\/sqrt(4) - sqrt(7)) + -2 + 3)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j + 4. Let b be v(1). Suppose -2*o - 507 = b*o. Let y = 51 + o. What is the highest common divisor of 36 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-244 - -202) + -1 + 23?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*h + 53 - 7, 4*h = -5*i - 73. Let b = -9 - i. Suppose -t - b*t = 0. Solve -5*z + 0*z + 20 = t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 6*z + 46. Let x(s) = s**2 + s. Let g(d) = -30*d**2 - 25*d. Give z*g(y) - 25*x(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -13*p**4\/8 + 77*p**3\/4 - 509*p**2\/8 + 77*p\/2 + 15\/2 = 0.\nAnswer: -2\/13, 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-10)\/(-6))\/((-1270)\/(-913638)) is divided by 100.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2554241 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*j = 189*j - 3082. Solve 0 = 19*h - j*h + o + 20, 15 = 3*h - 5*o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 5*y + 6. Let v be i(4). Let f be 12 + (-1 - (-2 + v)). Let s = f + 1. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3 = 0, -5*x = 3*w + w + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10460 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04 and 486340846.\nAnswer: 486340846.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2196924.95 - -1283396\nAnswer: -913528.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)*-2*-6 + sqrt(550) + (sqrt(550) - (sqrt(550) - -3*sqrt(550)))*4)\/(sqrt(3872) - 4*((sqrt(3872) - -4*sqrt(3872)) + sqrt(3872))).\nAnswer: -5*sqrt(11)\/1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -5) + (3 + -2 - (-102 + 99))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/(4116\/203982905))\/2. Let q = 173454 + v. Find the common denominator of q and -52\/9.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/8*(8\/(-3))\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/22 + 230\/(-55) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 3*p**3 + 19 + 3*p**4 + 2*p + 7*p**2 - 4*p**3 to the form y + f*p + x*p**3 + z*p**4 + n*p**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/220 and -89\/836.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 14) to base 2\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, -0.5, 0, -147.\nAnswer: -147, -0.5, 0, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from {w: 2, t: 2, e: 4, k: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**9\/20160 - b**8\/1680 + b**7\/420 - 17*b**5\/60 - 13*b**2. Let u(d) be the third derivative of q(d). Factor u(l).\nAnswer: 3*l*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, t: 3, x: 3}. Give prob of sequence rxxx.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f**3*f*(f**1\/f)\/f*f*((f\/f**(-1\/3)*f*f)\/f)**(-1\/50)*(f\/(f**(1\/5)*f)*f**(-1))\/(f*f\/(f*f**(-2\/5))*f*f*f\/(f\/f**5)) assuming f is positive.\nAnswer: f**(-547\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 3, b: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 35850?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -252, -399, -564, -753, -972, -1227?\nAnswer: -1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.56859864 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 7*a + 3. Let y be o(7). Let w(r) = 14*r + 336. Let d be w(-24). Let b = 5 + -1. Solve d = b*s - y + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 686 = -267 - 757. Solve -r*n - 37 - 197 = 0 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 5*f**2 + 2*f + 8. Let t be r(-5). Let s be 1 + ((-459214)\/(-4))\/7*t. Round s to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 10 = -2*b, k - 1 = b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*m**2 + 4*m**2 - 14*m**2.\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/35139 and 23\/24677913.\nAnswer: 419524521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 200810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (4 - 26)\/((-78)\/195) and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 + 25*q + 42. Calculate d(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 7*n + 334. Let r be o(22). Put 0.05, 0.9, -2\/17, r in descending order.\nAnswer: r, 0.9, 0.05, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*w**2 + 29*w**2 + 35*w**2 - 3*w**3 - 2 + 8 to o*w + g + j*w**2 + u*w**3 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*1 + (2 - 4). Let g = t + -2. Suppose g = -2*x + 4*b - 4, -4*x + b = 5*b - 4. Solve l - 2 + 6 = x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 10) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*d, 4*d = -h - 0*d + 40. Let u = 40 - h. What is the highest common factor of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54.845292 + -0.1.\nAnswer: 54.745292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124 - 5*y**4 - 1798*y**2 + 1796*y**2 - 121 + y**3 - y to s*y + u + x*y**2 + p*y**4 + r*y**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 - 67. Calculate the lowest common multiple of 30 and k.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*k + 8 = 0, -5*b + 5*k + 8 + 12 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 2 - 5 - (19 - (2 + -6)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 + (3 - (3 + -6)). Calculate the remainder when 28 is divided by 16\/12*i\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**2*z)\/z**(-2\/27))**(1\/2)*((z\/(z\/(z\/z**(1\/3))*z))**(6\/17))**1 assuming z is positive.\nAnswer: z**(881\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 188.0996316 - 188.1. What is u rounded to 5 decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000366 to 7 dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 10 + 37)*(-1 - 2 + 9)*(-1 - 1 - 1)*(2*a + 0 + 0).\nAnswer: -1512*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0239*-8.6\nAnswer: 0.20554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3 = -3*o, 6 = 2*o - 4. Suppose y*m + 5*b - 17 = 0, 43 = 5*m - 4*b + 3*b. What is the greatest common factor of m and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 (base 16) in base 14?\nAnswer: 3d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043684823 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*t - 2*v, -37*t + 41*t + 4*v = 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/10466604 and -23\/796.\nAnswer: 10466604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 85? (a) -0.1 (b) -5 (c) 0.35 (d) -2 (e) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9398\/53 or 176?\nAnswer: 9398\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1752 = -3*d + 3*p, 9*d - 8*d + p - 592 = 0. Suppose 0 = 64*s - 50*s - d. Calculate the greatest common divisor of 182 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1101101010110100000010?\nAnswer: 1101101010110100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 7*n**3 + n + (n**3 - 6*n**3 + 3*n**3)*(0 + 5 - 3) - 3*n**3 + n**3 + 0*n**3 + 18*n**3 - 26 + 26 - 3 - 6*n**2 + 2*n**2 - 2*n**3 + 6.\nAnswer: 17*n**3 - 4*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from bfff?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1 = 3*j - 11, 0 = -n - 3*j + 12. Let q = 2.1 - 2. Let f = q - -0.1. What is the second smallest value in n, -4, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (66\/88)\/((-2)\/(-8)). Suppose -1649 - 673 = -n*r. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.429081 and -0.7?\nAnswer: 0.3003567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) - (-35)\/(-20). Let w(t) = 65*t**2 + 2*t + 3. Is w(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86.931 + 0.069. Let l = m - 87.0057. What is l rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 4 - 8 + 51 - 35. Let z(x) = 2*x. Give t(z(f)).\nAnswer: -2*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 182*f**2 + 6*f**3 - 185*f**2 - f**3 - 2 + 4*f**3 + 4*f as i + g*f**3 + r*f + m*f**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8803033.\nAnswer: 379, 23227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 7909.\nAnswer: 71181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 196\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + 20. Let k = q + -33. Let z(a) = 2*a**2 + 8*a - 1 - a**2 + k. Give z(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638678 is divided by 272.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**3 - 8. Let j = -7 - -12. Suppose 5 = 3*g - 2*g. Suppose j*f + b + 18 = -0*f, 21 = -2*f - g*b. Let x(s) = -2*s**3 + 3. Calculate f*l(y) - 8*x(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 + 0)*(3*b**2 - 3*b**2 - b**2) + 5 - b**2 - 5 - 2*b**2 - 4*b**2 + 5*b**2 - 59 - 10*b**2 + 59 as q*b + t*b**2 + a and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(0*r - r + 2*r)*(7*r**3 + 0*r**3 - 2*r**3).\nAnswer: -15*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3 - 4 + 5 - 2 + 0 + 1 + 1 + (4 + 0 - 2)*(-2 - 2 + 6) + 2 - 1 + 0 - 43 - 13 - 30)*(-b + 2*b + b).\nAnswer: -156*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 25 = 10. Solve 4*o = k - 4, -2*o = k + w*o + 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 722491*a + 15894814. Calculate o(-22).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 1. Suppose 13 = 4*c + 5*j + 40, -4*c = 3*j + 21. Let t be n(c). Let l be t*14\/(-2)*-6. What is the highest common divisor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81164834.\nAnswer: 2, 17, 2387201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107 + 77. Let u be 10*(-4)\/z*(-42)\/4. Calculate the remainder when 24 is divided by ((-78)\/91)\/((-12)\/u + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**3 - 134*l**2 + 85*l + 137. Determine r(44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -526254*c**2*p**3 - 15*c*d*p**3 - 7264029*d*p**3 + 4*p**3 wrt c.\nAnswer: -1052508*c*p**3 - 15*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/(36\/54)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 6:44 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 47\/4 of a day?\nAnswer: 16920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s - 5512 - 2613 = 0. List the prime factors of s.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, 69, -0.09.\nAnswer: -188, -0.09, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19055 - -18441.2. Round m to the nearest 10.\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 89333.4322 to the nearest one hundred.\nAnswer: 89300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 37, -1\/161, 1, -2, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 3\/7, -4, -1, -208.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/168)\/(((-630)\/(-196))\/15)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 8, -4*j - 200 = -2*l - 5*j. Suppose v + 5*a + l = 5*v, -129 = -5*v + a. Suppose -v - 19 = -3*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*z = -1061*z - 534*z + 117655 + 78038 for z.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.054 - -0.946. Let o be (-3 - (-12)\/11) + 2. Which is the nearest to t? (a) 0.1 (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -14190*w - 89. Is p(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 3196008*f - 9587997.\nAnswer: -3*(f + 3)*(f + 1065333)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -177 - -19. Let v = m - -160. Solve -3*s + x + 15 = 0, s - 3*s - v*x = -2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3698*y**2 - 33*y - 375*y + 5*y**3 - 3*y**3 - 222*y - 2 - 3696*y**2 to v + w*y + k*y**2 + x*y**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/((-174)\/(-88))*(-1)\/4.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4392901?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 782 a factor of 2552014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 117?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*r**2 - 36*r**2 + 13*r**2 - 55*r**2.\nAnswer: -126*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -3577, -13644, -33645, -66892, -116697?\nAnswer: -186372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.925ml to litres.\nAnswer: 0.056925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (58\/12)\/((-10)\/15) - (-5175)\/575. Let u(b) be the first derivative of -3\/5*b**5 + 47 - i*b**4 + 7\/3*b**3 + 0*b + 3\/2*b**2. Factor u(m).\nAnswer: -m*(m - 1)*(m + 3)*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) 3 (c) 0.11 (d) 2\/33 (e) -0.4 (f) 33\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 9*z + 4. What is k(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(64)*4) + -6*(0 + sqrt(605)) - (sqrt(30) + sqrt(480)*-3 + sqrt(30))\/((sqrt(66) + 2*sqrt(66))\/sqrt(11)).\nAnswer: -3005*sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1030110 + 1322?\nAnswer: 1032032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 9 + 4)*(4*h - h - 4*h) + (h - h + 2*h)*(-3 + 2 + 0).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljj when three letters picked without replacement from {j: 6, d: 5, l: 1, p: 2, h: 5}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-16))\/((-225)\/100)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 7*t + 100 = -v, 3*t = -4*v + 83. Let o(h) = h**2 - 18*h - 4. What is the tens digit of o(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -46, -76, -118?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3389517.19 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 74178?\nAnswer: 370890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2)*0\/20. Suppose 6 = 5*a - 2*p - 14, d = 5*a - 4*p - 30. Solve 5*i + 17 = a*t, 2*i + 2*t = i - 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144129211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(-3*2*sqrt(10)) + sqrt(98) + 2 + 2)**2.\nAnswer: 164*sqrt(2)\/3 + 1969\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (317 - 317 + 41*x + (-2*x + 3*x - 2*x)*(1 - 2 + 3) + x + 5 - 5 - 5*x + 3*x + x)*(83 + 35 - 13).\nAnswer: 4095*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**2 + 7. Let s(k) be the third derivative of -k**5\/60 + k**3\/3 + 99*k**2 - 2. Determine 6*m(u) - 22*s(u).\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 2*n - 2*n + (-57 + 25 + 12)*(4*n - 2*n - n).\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozozoozooooooooozo. Give prob of sequence ozzo.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.54?\nAnswer: 0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -105*l + 449. Let d be u(4). Solve -23 = -d*w - 110 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 18. Let c be i(-18). Which is smaller: c or 6\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904500023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/9 + (-2103)\/(-9). Let p be -3 - (-5 + 2)\/(-2 + 3). Suppose p = -3*a - 0*a + d. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 43788?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = 41*v + 376 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14 - -14)\/(-4 - -1))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {a: 5, h: 3, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 - 2\/(-3). Suppose 4*u + 5*u - 63 = w. Suppose -u*v + 10*v = 822. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4*o - 8 + 6 = 0, -d + 1 = -4*o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 - 18 + 14)*(z**4 - 5*z**4 + 2*z**4) in the form h*z + r*z**2 + m*z**3 + j + k*z**4 and give k.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3806914806 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 - 1344*r**3 - 677376*r**2 - 151732224*r - 12745506816.\nAnswer: -(r + 336)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-216)\/15)\/(-2))\/((-4)\/(-10)). What is the second derivative of -166 + 24*b + 338 - 172 + i*b**2 wrt b?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 10. Determine u(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(76)\/sqrt(4) + sqrt(228)\/(1*sqrt(12))).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 9*f**2 - 9*f - 13. Let u be m(-12). Let n = -314 + u. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j. Let x(g) = -48*g. Determine b(x(n)).\nAnswer: 96*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 169004438 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31002 + 132025?\nAnswer: 101023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-15) + (-2588)\/(-10). Suppose 3*h - 5*f = g, 0 = h - 0*h - f - 85. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 59 - (4\/(-1))\/4. Let y = p - 41. Is 19 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + -3*((sqrt(99) + 1)**2 + 4 - 3*(sqrt(99) + 0))).\nAnswer: -308 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61486980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {r: 1, y: 4, v: 3, o: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4743028?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/35 - 6\/(-21). Let p be (-3)\/(-3) - (3 + -35). Let w be p\/(-60) - 2\/8. Which is the second biggest value? (a) u (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 20. Suppose u*o - 4 = -12. Which is bigger: o or -8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12180)\/9744*(-3)\/(-10).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97860 divided by 4?\nAnswer: 24465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + sqrt(700).\nAnswer: 1 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 10. What is the common denominator of (-38)\/9 - 6\/15*10 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -20*r. Let u(c) = c. Let f(b) = -5*l(b) + 4*u(b). Let q(d) = -27*d**2. Determine f(q(j)).\nAnswer: -2808*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -a + 8 - 3, -5*d - a + 14 = 0. Solve j + 2*f = 1, 5*j - f - 5 = d*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 430 + 110. Does 27 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 149150 and 19000?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t - 10. Let b be f(1). Let h be ((-39)\/91 - 48\/b)*1. Solve -4 = -c - h*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/90*9\/54*3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138 + -198. Let d be 14\/l - 4\/(-10). Which is the third biggest value? (a) -5 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2654634?\nAnswer: 2, 3, 442439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42290894 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887105.\nAnswer: 5, 177421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 20489.71592853.\nAnswer: -20484.71592853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -13*r - 75\/4*r**2 - 15\/4*r**3 + 0 - 3\/40*r**5 + 9\/8*r**4. Solve v(y) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + t + 34 = 8*i, 2*i - 5*t - 1 = 0. Suppose i*k - 20*k = -21. Solve k*g - g = -2*j + 6, 0 = -g - 3*j + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*x + 24. Suppose -w - 3 = -n, -x*w + 6 + 0 = 2*n. Suppose 0 = 5*i - i - 2*t - 80, 3*i + n*t - 51 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12635850 is divided by 1905?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 321.\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*o = 1153 + 5684 - 1733 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 7:45 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36093 and 104463?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 624 + -623.5. Which is the smallest value? (a) n (b) 0.01 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64449 and 14?\nAnswer: 128898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 7*i**2 - 12*i + 31. Determine b(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 0. Let g(n) = 2*n**3 - 2*n - 1. Let k be g(-1). Let u = b + k. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -448459.2 from 5.\nAnswer: 448464.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/15)\/((-34)\/(-102)))\/(-2)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 5*i + 26. Let c be x(6). Let z = c + 32. Is (z + 3)\/(-5)*50 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from {k: 2, h: 1, u: 2, a: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l**2. Let p(r) = 1 - 2 + 1 - 2*r**2. Determine f(p(a)).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 24*w + 4. Let q be c(0). Solve b - q = 0, -10*b + 12*b - 10 = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1357 - -47.151926\nAnswer: -1309.848074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3705577597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55589 - 1188*d - 55589)*(d**3 - 2*d**2 + 2*d**2)*(-3 + 0 - 3).\nAnswer: 7128*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 2*p + 1. Let t be m(2). What is the nearest to 0 in 2\/5, 2, t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 + 0*l**2 + l**2)*(0*l + 3*l - 2*l) - 111*l**2 + 109*l**2 + 6 + 2*l**3 + 8 to the form g*l + y*l**3 + n + c*l**2 and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/101541 and -40\/236929.\nAnswer: 710787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42635325 (base 7) in base 8?\nAnswer: 15704144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285 and 969.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 20338465?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*x, -4*x = -3*q + 9 - 4. Let u be 0 + 0 + q + 3. Let 5\/2*b**5 - 3\/2*b**u - 7\/2*b**3 + b + 0 + 3\/2*b**4 = 0. What is b?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103.14 + -1.86. Let k = -225.61697 + 330.6177. Let j = f + k. Round j to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 75. Calculate the greatest common factor of u and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/204 and 74\/5245953?\nAnswer: 356724804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1544999 milliseconds to microseconds.\nAnswer: 154.4999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**3\/21 - 43*h**2\/14 - 82*h\/7 + 429. Determine k, given that a(k) = 0.\nAnswer: -41, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -643, -1277, -1911?\n\"Answer: -634*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.7, -4, -44, 2, -3?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1587, 1, -3635, 5, -2 in ascending order.\nAnswer: -3635, -2, 1, 5, 1587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*u - 5, 4*z + 4*u = 1 + 3. What is the smallest common multiple of 6 and 1*4 - (-5 - z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -126856 and -0.2.\nAnswer: 25371.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 35 = 5*u. Let s(o) = -5*o**2 + 4*o**2 + 39*o**3 + u*o - 1 - 3*o. Is s(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9\/2)\/(((g**(-8)\/g)\/g)\/g))**(2\/31) assuming g is positive.\nAnswer: g**(13\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 - 62. Suppose y = 8*s - 2257 - 3175. Is (-8)\/8 + s + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7848*j**4 + 5*j**3 - 5*j**2 - 5150241*j wrt j.\nAnswer: -94176*j**2 + 30*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 714937, 1430007, 2145079, 2860153, 3575229, 4290307, 5005387?\nAnswer: 5720469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -5, 15853678 in decreasing order.\nAnswer: 15853678, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p**3 - p**2 + 2*p - 1. Let m(q) = -q**3 + q**2 - q + 1. Determine g(s) + m(s).\nAnswer: -8*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 2 = -0*m, -34 = -5*z - 138721*m + 138718*m for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j + 8. Let t be g(-2). Suppose 4*x - t = 0, -x + 18 = 3*f + 2*x. Let m(b) = b**3 - 4*b**2 - 6*b + 5. Calculate m(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3 + 2610*z**2 + 570276*z + 1130136 = 0. Calculate z.\nAnswer: -434, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, e: 4, w: 4, b: 1}. What is prob of picking 2 e and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20742023*h**3 - 69739378 wrt h.\nAnswer: 62226069*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -11*h - 81 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3509 divided by 5131.\nAnswer: 3509\/5131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 72150876.\nAnswer: 360754380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (3 + 1))*4. Let b be (-1)\/o - 948\/(-48). Let p = 45 - b. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18\/137 - -2246\/411. What is the second smallest value in -0.9, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1018, -1608, -2198, -2788, -3378, -3968?\nAnswer: -4558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169 divided by 14.\nAnswer: 169\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o**5*o)\/o*o*o)\/o*o*o\/(o*(o**4*o)\/o))**34\/(o**(-1\/3)\/(o**(1\/2)*o*o)*(o\/(o\/(o\/(o**(1\/2)\/o*o))))**39) assuming o is positive.\nAnswer: o**(358\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 5*r**2 - 6*r + 2. Calculate the smallest common multiple of 666\/30 + (-2)\/10 and t(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52291 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342705?\nAnswer: 3, 5, 11, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 345 or 344?\nAnswer: 345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (186\/31372)\/((-2)\/(66\/(-9))).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 12*z + 1. Let v(s) = -2*s**2 + 23*s + 3. Suppose 31 = -3*w - 2. Let m(c) = w*n(c) + 6*v(c). What is the remainder when 22 is divided by m(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -64*u**3 - 2*u**2 - 2*u + 7. Let z be v(2). Round z to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Suppose 2*v = 4*o - r*o, -6 = -4*v + 2*o. Let k(x) = -5*x - x + v*x. Let l(p) = p. Calculate k(l(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -38. Let c = 6 - j. Let q be (-1)\/(-2)*4\/(-3). What is the closest to -8 in 4, c, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-6))\/((-3)\/(-18)). Let y = -6 + d. Suppose 35 = x + y*x. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2340295218 to the power of 1\/3, to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121021210 - -12?\nAnswer: -121021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*s - 5*j, s + 3*j = j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -3, -55, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/40 of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -1. Let x = -11 + s. Find the common denominator of (-2)\/x - (-139)\/(-36) and 109\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 429 and 2412696.\nAnswer: 2412696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwgkkr. What is prob of sequence gkw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10296 - 92665\/9. Which is the biggest value? (a) 4 (b) -135 (c) f (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/31 (b) 18 (c) 0.4 (d) 2\/11 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 258\/5 in 0, -0.2, 0.5, -3\/4, 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 55, 124, 221, 346?\n\"Answer: 14*u**2 - u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167939894 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -3*u + 0*u**2 + 0*u**3 + 1\/6*u**4 + 3. Let g(h) be the first derivative of s(h). Let z(j) = -4*j**2. What is z(g(d))?\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, t: 2, z: 4, g: 1, f: 1}. Give prob of picking 2 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 8:18 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-15) + (48\/(-8))\/18. Is j greater than or equal to -189\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 2*(-2 + 1). Suppose 1 = 5*l - 9. Solve -l*p - 12 = -u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 + 5 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d**2 - d + 2*d**2)*(2 + 5 - 1) + (d - 4*d + d)*(-3*d - 2*d + 6*d).\nAnswer: 4*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - 30*b - 2354. Calculate q(51).\nAnswer: 1318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 3*u + 0*u + 191 - 801.\nAnswer: -u - 610","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -44 - -13 - 17\/(-20 - -3)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9740240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 421507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h + 652. Let y = -159 + h. Which is the second biggest value? (a) -0.16 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 62?\nAnswer: 19\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 406013 and -3.7?\nAnswer: -1502248.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 7:52 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12cb98 + -6?\nAnswer: -12cb9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4 + 1.3. Let k = 357.9 - 363. Let l = k - m. What is the nearest to 1\/3 in -2\/3, l, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + w - 382, -373 - 97 = -5*d - 5*w. Let i = 58 + -46. What is the highest common divisor of i and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f + 18. Let c be h(8). Let y(b) = -2 + b**2 + 47*b - c*b + 1 - b**3. What are the prime factors of y(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/9 of a week in minutes?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 12, -3*h = -4*h - y - 3. Suppose h = -2*u + 5*b + 355, u - 3*b - 147 - 30 = 0. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 225 = 5*g. Suppose -4*j + 120 = 3*i, i - 83 = -4*j + g. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -99078378*i - 8785856.\nAnswer: -99078378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15188 + -60289\/4. Let w = -115 + i. Determine p, given that 0 + 0*p**2 + 0*p + 1\/2*p**3 + w*p**4 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/3 + 420*x**2 - 141961*x\/3 - 47740 = 0 for x.\nAnswer: -1364, -1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 1:34 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g*g*g**27)*g*g*g*g**(-1\/31)*(g\/(g*g**(6\/17)))\/(((g*g\/g**(9\/7)*g*g)\/g)\/g*g) assuming g is positive.\nAnswer: g**(-96281\/3689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -614 + 1049. List the prime factors of y.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jamaaatommaonoanoa. What is prob of sequence mt?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3 - 3 = -4*q, 0 = -4*d - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-102)\/(-27) + (-10)\/(-45) + 24 and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -118284, 41 in increasing order.\nAnswer: -118284, 0, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from {z: 5, d: 1, v: 6, u: 5}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 9:42 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, o: 14}. Give prob of picking 2 o.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2. Let a(b) = -4*b**2 + 2*b + 2. Let i(c) = -8*c**2 + 5*c + 5. Let p(t) = 5*a(t) - 2*i(t). Determine p(s(u)).\nAnswer: -64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -792, -788, -780, -768, -752, -732, -708?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11601803 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42480507*q**3\/8 - 286605132*q**2 + 59734185*q\/8 - 194481\/4.\nAnswer: -3*(q + 54)*(3763*q - 49)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.1 or 9?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/8 - (-1 + -44)) + -1. Let c(n) = 18 - 9*n + f*n**2 - 7 - 12. Is c(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1169 - -595. Let b = 1361 + h. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**(-8))\/(g*g\/g**2))\/(g\/g**(-2))**(-3))**(6\/5) assuming g is positive.\nAnswer: g**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 + 187 = -7*d - 5*k, 4*k = 3*d + 57 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(((-6)\/4)\/(585\/(-234)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 4*z - 5*z)*(2*z**2 + 4*z**2 - 4*z**2) + 53*z**2 - 3*z**3 - 72*z**2 - 82*z**2.\nAnswer: -7*z**3 - 101*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j - 3\/2*j**3 + 0 + 1\/12*j**4 - 2*j**2. Suppose -35664*z = n - 35661*z - 66, 4*n - 2*z + 2 = 0. Give f(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 19*p - 16. What is the tens digit of a(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168816800 to the power of 1\/3, to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3121947 to the power of 1\/2, to the nearest integer?\nAnswer: 1767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*v, n - 3*v = -0*n + 28. Suppose -8*w = -n*w - 44. What is the units digit of (-3 - 3*-29) + w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c = 39*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*(((sqrt(24) - sqrt(216))\/sqrt(12) - sqrt(2)) + -5)*6.\nAnswer: 216*sqrt(2) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.034708us in milliseconds?\nAnswer: 0.009034708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (6\/3 + 21\/(-9)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 + 5 = 3*n, 0 = 2*n + m - 13. Solve z = -c + 3, -4*c + c + n*z = -17 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142691 and 1178446.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 15*i - 14. Let p be f(-16). Solve -5*o + p*b - 5*b - 12 = 0, -5*o + 5*b = 20 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -681*u**2 + 318*u**2 + 812*u**2 + 812*u**2.\nAnswer: 1261*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -617*m = -22767 + 62872 for m.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 147*a**4\/2 + 1064*a**3 + 5776*a**2 - 2535*a. Suppose h(o) = 0. Calculate o.\nAnswer: -76\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*s - 921 + 3651 = -35*s. Solve 141*v - 155*v = s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nob when three letters picked without replacement from {k: 1, o: 1, n: 1, w: 1, b: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-141)\/21 - (-2)\/(-7). Let a(k) = -13*k - 5*k - 11*k - 38 + 32*k. Let n be a(12). Sort n, d, -1\/6.\nAnswer: d, n, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3236*j + 4228*j + 6978*j + 26961*j.\nAnswer: 34931*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 3. Let j = -3.5 + d. Let w = -11 - -10. Which is the nearest to w? (a) -0.3 (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3984.9999998934 + -3985. What is d rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 4*k**3 - 25*k + 21*k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-8 + 1)\/(-35))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9675.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 62. Let a be d(5). What is the greatest common factor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}