diff --git "a/data/dm_maths/full_data/267_11255.jsonl" "b/data/dm_maths/full_data/267_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/267_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -112 = 5*r - 62. Let h be (-5)\/15*(-12)\/r. Which is the nearest to h? (a) 1.7 (b) -1\/2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -436*n + 422*n. Let 2\/3*d**4 + 16\/9*d - 2\/9*d**5 + 4\/9*d**n - 8\/3*d**2 + 0 = 0. What is d?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 662547988119 and 0.\nAnswer: 662547988119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 28*u - 137. Let x be m(5). Solve 5*z = -x*n - 3 + 2, 3*z = -2*n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*((-15)\/6 - -3). Suppose c - g - 13 = 25, s*c + 2*g - 197 = 0. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-25))\/(17*6\/255)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 239732 and 876.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284401 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 12:19 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4 (b) 37 (c) -4 (d) 0 (e) 671 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151 divided by 5.\nAnswer: 151\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -662 + 338 + 332, 7*x - 38 = 5*s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbgxxbbbgbxb. Give prob of picking 1 b and 1 g.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1 - 99*p - 2 + 104*p - 5 + p**2. Let d be w(-7). What is the greatest common divisor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 552 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 625 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -16, -1\/2, 1, 2\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1369 and 11183583?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - y + 3, -5*j - 4 = y - 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 7*j**2\/2 + 4*j - 3. Calculate the remainder when 93 is divided by g(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 + 51*o**3 + 45*o**2 - 51*o - 48.\nAnswer: 3*(o - 1)*(o + 1)**2*(o + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 10*r + 1. What is t(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -14. Let v = 12 - a. What is the third biggest value in 0.5, v, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 6*m**2 + 7*m + 5. Let l = 207 - 141. Let p be ((-12)\/l)\/(-1) - 42\/(-11). Let c be b(p). Solve 4 = -q - c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -21*u + 6. Let l(o) = 1. Let q(z) = -d(z) + 6*l(z). Let g(j) be the second derivative of 1\/12*j**4 - 8*j + 0*j**3 + 0*j**2 + 0. Calculate g(q(y)).\nAnswer: 441*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 672 and 21888.\nAnswer: 153216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 12*x**2 - 11*x - 3. Let t(o) = 11*o**2 - 10*o - 2. Let u(m) = 3*r(m) - 4*t(m). Let n be u(5). Let k = 241 + n. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 4*w**2 - w + 16. Determine y(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (60 - -12 - -3) - -12?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**4 - 270*v**3 + 1680*v**2 - 1570*v - 3525 = 0.\nAnswer: -1, 3, 5, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -40 + -32 + 92 + -9\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1373 + 3047 = 5*s. What are the prime factors of s?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 - a + a + (2*a - 3*a + 0*a)*(-2*a**2 - a**2 + 4*a**2) + 0*a**3 - a**3 - a**3 + 3*a**3 + 2*a**3 - 3*a**3 + (-7*a + 2*a + 3*a)*(6*a**2 + 56 - 56).\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 4*i - 4. Let l be z(-5). Suppose y - l = 1. Solve m = -m + y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 91*f**3 + 10*f**2 + 3*f + 23. Let t be z(-5). Round t to the nearest one hundred.\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/48)\/((-4)\/6)*0. Let s = 0.1 - -0.2. Let o = -4.4 - -0.4. Which is the nearest to x? (a) 0.1 (b) o (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -118820, -118753, -118682, -118607, -118528?\n\"Answer: 2*k**2 + 61*k - 118883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13093?\nAnswer: 13093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21\/26 - -4\/13. Let x = -30\/7 + 4. Let g = 5729 + -5724. What is the closest to x in j, 1, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 97, 185, 283, 397, 533, 697, 895?\n\"Answer: b**3 - b**2 + 84*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2*0\/2. Solve b = 3*d + 5 - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2999634 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -940 (base 14) in base 4?\nAnswer: -130130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 728800.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, x: 2, j: 1, l: 1, i: 5}. What is prob of picking 1 i, 1 r, and 1 x?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -1 + -2*sqrt(5) + 1.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5248666789?\nAnswer: 5248666789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 1, v: 1, b: 1, m: 1, h: 1}. Give prob of sequence mv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v - 2*u - 4 = 0, -5*v = -5*u + 5. Let g be 3*2*2\/v. Suppose -i + 12 = 2*i, -g*n = i - 36. Solve -n*l = -3*l - 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15350 and 170450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*t**2\/2 + 43799*t\/4 + 86734.\nAnswer: (t + 8)*(54*t + 43367)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20 and 2546.811.\nAnswer: 2566.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((8\/5)\/2)\/((-4)\/(-10)). Suppose -10*h + 16 = -d*h. Calculate the lowest common multiple of h and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 181785.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1021*l - 2284. Determine z(-2).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 5*u**2 - 6*u - 14. Let n be w(-6). Let o = n - -11. Is 4 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 + 3*w**2 + 4*w + 5. What is the remainder when p(-2) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.08 + 0.08. Let j = -0.003 - 25.997. Let s = -26.3 - j. Which is the second biggest value? (a) -1 (b) o (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 4:52 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.82 + 0.18. Suppose -4*p - 2 - 6 = 0. Let o be p*(-4)\/(-8)*-4. Put v, o, 1\/2 in decreasing order.\nAnswer: o, v, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*l**5*v**3 - 260*l**5*v - 4998*l**2 - 20*v**3 wrt l.\nAnswer: -1740*l**2*v**3 - 15600*l**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3*z**3 - 145*a**3*z + 2*a**2*z**2 + 218*a*z**3 - a*z**2 - 12*z**3 + 2 wrt z.\nAnswer: 6*a**3 + 1308*a - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.22 + -0.22. Let i = 8.5 - n. Which is the third smallest value? (a) 0.1 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1037154 and -40864.\nAnswer: 996290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28795 - -63675. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/32)\/((-2)\/(-40)) + -5. Let j = -4\/45 + 13\/45. Let j*h**2 + 1\/5*h**3 + 0*h - 1\/5*h**5 + u - 1\/5*h**4 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 403 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2083 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 91182, 182369, 273556, 364743?\n\"Answer: 91187*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 34*y**2 + 23 + 9 - 32.\nAnswer: 34*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110232 (base 4) in base 15?\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(6 + 5*f - 6)*(-3344 + 3344 + 61*f)*(2 - 2 - 2*f) in the form m*f + a + y*f**2 + o*f**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 29 = -6. Suppose -4*y + 2*m - 10 = 0, -5*y + 8*m - 7*m = t. Suppose y = -5*l + 328 + 257. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10269 or 10271?\nAnswer: 10271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.546125t in milligrams?\nAnswer: 4546125000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.5 + -6.6. What is the smallest value in -1, u, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/15619 - -4170203\/546665. Let l = 52\/7 - g. Which is the closest to -1\/2? (a) 7 (b) 2 (c) l (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -42. Calculate the remainder when d is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 304\/24 - 10 - (5 + -1). What is the smallest value in 0, 2\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*s = -6*s, 0 = -5*f + 3*s - 35. Let g = f + 6. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -23*r**2 + 2461*r + 2459. What is d(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 589 + -584. Suppose m + 1 - 2 = 0, u + 2*m - 16 = 0. Let t = u - 12. Solve -2*h - 7 = -z, -h - t*h = n*z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**6)\/x**7)**(-1\/24)*((x**(-7)\/x)\/x**(2\/9))**(1\/17) assuming x is positive.\nAnswer: x**(-74\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + r + 4*r)*(1 - r - 1) - 3 + 3 - 2*r**2 + (2*r + 4*r - 4*r)*(2*r - 1 + 1 + (-1 + 3 - 1)*(-50*r - 60*r - 51*r) - r + 0*r + 2*r).\nAnswer: -319*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3968 and 5456?\nAnswer: 43648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsxhhushuxssusxshu. What is prob of sequence sss?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 = 4*x - b - 576, 0 = -2*x - 3*b + 417. Suppose 17*h + x - 5214 = 0. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -6.5. Let i = -2593 - -2592.6. Put i, r, 0.1, 6 in decreasing order.\nAnswer: 6, 0.1, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 23196360?\nAnswer: 23196360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from {x: 3, d: 8}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 - 1)*(5 + 24\/(-6)). Let l be (0 - (-12)\/r)*(3 - -3). Let u be (-2 - 2)\/((-16)\/l). Calculate the greatest common factor of u and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58888?\nAnswer: 2, 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 500\/20*(-3645)\/(-10125).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**0*s)\/s)\/((s**0*s)\/s)*(s*s**0\/s)**(-49))**(-10\/3))**(-11\/7) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2 - 3. Let v(x) = -30*x - 11. Let u be v(8). Let k = u - -254. What is z(k)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.2 + 22.4. Sort o, -8, 43 in descending order.\nAnswer: 43, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1 + 0)\/(6 - 8))\/(-1). Which is the closest to 0.01? (a) 0 (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5*(-28 + 28)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.1. Suppose 16*n + 507 = -1589. Let r = 398\/3 + n. Which is the closest to 0.1? (a) -4 (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (62 - (29 + 30)) + (1 - 20)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/18 and -3 + 2435\/180 + -11?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + 4. Find the second derivative of j*h**3 + 17*h - 19*h - h wrt h.\nAnswer: 102*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13002.5151 + -0.25.\nAnswer: 13002.2651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2803*g + 89. Is f(26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19525 + -0.3.\nAnswer: 19524.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a + 171. What is r(19)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/84 and -77\/21360.\nAnswer: 149520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*d = 5*h + 2, -h + 7 = -d. Solve 3*l - h*m = 4, -3*l = -2*m + 4*m - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k + 14. Let h(m) = -m + 9. Let l be h(k). Suppose -2*y + 3*q = l*q - 41, 2*y = -4*q + 46. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*b = 310*b + 36 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (76\/114)\/(3\/(-1) - (-316)\/108). Let g = 1\/51 + 46\/255. Put g, -1\/2, 0.1, v in ascending order.\nAnswer: v, -1\/2, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - 0.3. Let u = 151 + -1664\/11. Let g = u - -4\/55. What is the nearest to -2 in r, -2\/13, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 26. Let y(h) = 1. Let r(o) = -j(o) + 12*y(o). Let c be r(-9). Let i(n) = n**3 + 3*n**3 - 3*n**3 + 4*n - 5*n**2. Determine i(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 14*w - 24. Let z(p) = 2*p - 4. Let u be 48\/(-6)*2\/8 + -4. Let l(k) = u*z(k) + q(k). Let a(h) = -47*h**2. Determine a(l(o)).\nAnswer: -188*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + r**2 - r - 1. Let s(m) = 2*m**2 - 2*m - 2. Let g(b) = 3*p(b) - s(b). Let t(q) = 9 + 3*q + 2*q - 10*q + 3*q. Let x be t(5). Calculate g(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.6275 + 9.6. Round d to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**2 + 385*y + 1 + 2*y**2 - 402*y. Let g be o(-8). Solve 5*a = g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 214781.\nAnswer: 214787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 9:38 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -18.06. Is y != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119701563 - 28.9307.\nAnswer: -119701591.9307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -4 (b) -1848.15 (c) 4 (d) 2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2668*t + 1770*t - 2680*t - 3122*t as r + d*t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 36. Factor -w*l**2 + 4\/3*l + 2\/3.\nAnswer: -2*(l - 1)*(3*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-7))\/(10 - 77656\/(-119)). Is q <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40656 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12062*a*n**3 - a*n**2 - 146*a*n + 68*n**2 wrt n?\nAnswer: -72372*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 3*q - 29 = 0, -6490*b + 5*q - 21 = -6492*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-63)*6\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -8. Suppose -3*q + 5*q - 32 = v. Let y = -2 + q. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19795 - 10566. List the prime factors of r.\nAnswer: 11, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 + -2.92. Let g = -0.03 + 2.03. Let o = g - 3. Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3797223, -3797220, -3797217?\n\"Answer: 3*w - 3797226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -18, -10 in decreasing order.\nAnswer: 5, -5, -10, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 437 - 173. Suppose v = 9*o - 357. Does 33 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 283 + 15478 = 138486. What are the prime factors of v?\nAnswer: 3, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 144, 146, 160, 192?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3745437.\nAnswer: 3, 29, 43051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490.3034mg to tonnes.\nAnswer: 0.0000004903034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 37. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 828467?\nAnswer: -4\/828467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and 0.1983123?\nAnswer: 0.017848107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 21*v**2 - 47*v - 19. Let h be u(-23). Solve 0 = 6*q - h*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, -7, -10, -13?\n\"Answer: -3*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1499*k - 712*k + 19675 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = v - 20*v. Let -2*x**3 + 6*x - x + 4*x + 0*x**4 + 12*x**2 - 3*x**v - x = 0. Calculate x.\nAnswer: -2, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 821 = -t + 852, -5*t + 4*z - 19 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4) - 1\/(-2). Calculate the highest common divisor of 9 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 3691*h**3 - 3690*h**3 - 5*h.\nAnswer: h**3 - 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o, q + 4*o + o = 290. Let n be 950\/q*(-6)\/(-5). Which is the third smallest value? (a) -8 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.844 - -54978604?\nAnswer: 54978601.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmm when three letters picked without replacement from zulmuuzzzcm?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l + 23. Does 15 divide q(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2058400 to the nearest 10000.\nAnswer: -2060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 872 = -4*a, 5*z = 2*a + a + 1434. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2\/13 - 8550616*f\/13 - 9139129247432\/13 = 0. Calculate f.\nAnswer: -2137654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 + 94.3. Let p = 7.85 + 0.15. Let w = p - 3. What is the nearest to 1\/3 in 4, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-520)\/(-72)*-75)\/((-2)\/98544). What is s rounded to the nearest 100000?\nAnswer: 26700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 49*f**3 + 3*f**2 - 96*f - 98. Calculate k(-1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 15 = -0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**9\/15120 - c**8\/8400 - c**7\/4200 + c**6\/1800 + c**3\/3 - 3*c**2. Let a(m) be the first derivative of l(m). Factor a(n).\nAnswer: n**2*(n - 1)**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 218*m**2 - 901*m - 48. What is o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*o - 45. Suppose -6*j + j = -o. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1022)\/(-14) + 2 + 1. Suppose -4*b - r = 4*t, 4*t - b + 85 = 4*b. Let l be 6\/(-4)*(-24)\/(-9). Sort -3, l, -5, t.\nAnswer: t, -5, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 289\/8 - 285\/8. What is the third smallest value in -5, -71, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 57 (b) 1547 (c) 19 (d) -2\/5 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -77*d**2 + 2. Let c(r) = -r**2. Give a(c(k)).\nAnswer: -77*k**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 515736 and 783.\nAnswer: 1547208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.8512188 + -87371.7.\nAnswer: -87366.8487812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9469 - -9598.95. Round n to zero dps.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, -1\/2, 1\/63, 0.1, -214, 0.5, 3\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 12*u**2 + 23*u + 73. Let a(t) = -5*t**2 - 13*t - 37. Let v(k) = 5*a(k) + 2*i(k). Give v(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 + 1. Let n(d) = 30*d**3 + 7*d**2 - 2. Let m(a) = -5*j(a) - n(a). Find the third derivative of m(v) wrt v.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.0216 - 0.0216. What is the third smallest value in k, 712, 0?\nAnswer: 712","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*13\/((-78)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 4*z**3 - 4*z**2 + 31. Find the second derivative of d(j) wrt j.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 5)*25507\/(-23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.737776 rounded to zero decimal places?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-52)\/39))\/((-3)\/18).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - ((-1)\/(-3))\/(2\/(-18)). Suppose -j*r - 4 = -3*r, 3*c - r = 2. Put -2, c, 0.37 in ascending order.\nAnswer: -2, c, 0.37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*x**2 + 2242*x**3 - 2240*x**3 - 43*x**2 as y*x**2 + h*x + a + k*x**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 19, 57, 2, 3, 1.52 in increasing order.\nAnswer: -4, 1.52, 2, 3, 19, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*y + 364 = 637*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6720.835 milligrams?\nAnswer: 6720835000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (488\/72 + -7)\/((-8)\/(-36))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 89*u - 1. Let j(k) = -2*k. Determine -4*h(a) - 44*j(a).\nAnswer: -268*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2328 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6be30 (base 16) in base 8?\nAnswer: 1537060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**4\/12 - 5*d**3\/3 - 25*d**2\/2 - 463*d. Factor l(o).\nAnswer: -(o + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 10*h + 11. Let u be c(-11). Let f = -151 - -758\/5. What is the second smallest value in u, -0.2, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 6. Suppose 11*r = f*r + 112. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, -2, 0.3, 2, 170?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(108)*-2*3)**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -957667a?\nAnswer: 9576678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -67, -125, -181, -235, -287, -337, -385?\n\"Answer: s**2 - 61*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f. Let d(u) be the first derivative of 0*u + 3 - 9\/2*u**2. Calculate m(d(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2 + 40467972*t - 409414189448196 = 0 for t.\nAnswer: 20233986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280507057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3500*v + 2180507. Give g(623).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -4166012?\nAnswer: -4166013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 8, 3, -0.7, -1.96, -10\/11?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4*j + 24 = 0, -5*j - 27 = 35877*q - 35878*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59541879.\nAnswer: 3, 211, 94063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*y**2 - 196 + 196.\nAnswer: -29*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 624 and 17872.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7856, -31500, -70912, -126092, -197040?\n\"Answer: -7884*r**2 + 8*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/20*(116\/(-24) - -4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14487, 58044, 130647, 232302, 363015?\n\"Answer: h**3 + 14517*h**2 - h - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f. Let d(o) = -7*o + 1. Let v(l) = -6*d(l) - 5*s(l). Let t be v(5). Suppose t*n + 5*k = 18, -n - 5*k = 4*n - 25. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -2 + 43 - -2) + (3 - 67) + 73\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 + 833. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Let c(g) = -g**2 + 4*g + 4. Let k be c(i). Suppose 5 + k = 2*q. Solve 4*s - 2*s = q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-5 - -1))*(-1)\/(-1). Let g(x) = -x**3 + 6*x**2 + 2. Give g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 182 - 117. Suppose -2*x - 3 = -5, 2*k - 4*x - 2 = 0. Suppose l + 4*g = -2 + 3, -l - k = 5*g. What is the remainder when o is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47282*g**5 - 292*g**2 - 28*g?\nAnswer: 2836920*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 less than or equal to 624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a\/(a\/(a**(-13)\/a))*a)\/a))\/a)\/a**11)**(-23) assuming a is positive.\nAnswer: a**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 5 + 0*f - 1\/2*f**3 + f**2 + 1\/12*f**4. Give p(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -501, -318, -127, 72, 279, 494?\n\"Answer: 4*i**2 + 171*i - 676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 10:29 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -1\/5*y**5 - 1\/3*y**4 - y - 1\/21*y**7 + 1\/5*y**6 + 0 - y**2 + y**3. Factor v(s).\nAnswer: -2*(s - 1)**4*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*p - 11 + 1, -4*p + 4*z = -8. Let w = p - 2. Let g(k) = 13 + 2*k**2 - 3*k + 7 + k - 18. Let b(t) = -1. Give w*g(a) + 4*b(a).\nAnswer: 2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 22. Let l(p) = -6*p**2 + 15*p**2 - 2*p**2 - 8*p**2. Give a(l(q)).\nAnswer: q**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*s**2 + 0*s**2 - 19*s**2)*(-s - 14*s - 10*s) - s**2 + 2*s**3 + s**2 as h + j*s**3 + l*s + w*s**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5))**(4\/9)*n**(-1\/3)*n*n**(-7))\/(n\/n**(-13)*n*(n*n\/n**12*n)\/n*n)**(-28) assuming n is positive.\nAnswer: n**(7267\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 90088 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -433.5 (b) 0.06 (c) 1\/2 (d) 0.3 (e) -91 (f) 3\/7 (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 v when four letters picked without replacement from ddddvvdv?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 + j - 5150 + 362 + 0*j.\nAnswer: j - 4683","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.46500169 - 0.465. What is o rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**3 - 3474*g**2 + 6936*g = 0.\nAnswer: 0, 2, 1156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7524790359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 31. Suppose 6*u = -4*u + 90. Calculate the remainder when r is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 3*z - 29, -29 - 54 = -2*z - 52*d - 0 - 11 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 19*m)*(-48 - 58 + 110)*(3*m**2 + 3*m**2 - 7*m**2).\nAnswer: -76*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1672 or 2659?\nAnswer: 2659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 46. Suppose -14 = -f*j + s, -j + 2*s - s = -9. Solve -4*m = 5*q + 17, -q + j*m - 10 = 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g - 2*t, 2*g - g + 4*t = 1. Let c be (15\/(-4))\/(3\/(-4)). What is the units digit of c*2 - (-3)\/g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 20*g - 42. Let y be v(2). Let t = 14 - 9. Sort 3, 2, t, y in increasing order.\nAnswer: y, 2, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(75))*5 + -4*(sqrt(75) + sqrt(75)*-3)**2 + 0.\nAnswer: -1205 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 38.8. Let h = -0.17 - -0.19. Let r = -0.18 - h. Put g, 0.03, r in increasing order.\nAnswer: r, 0.03, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 3 + (6 - 4 + 2)*(1 - 1 - 1) + 1 - 1 - 2)*(0*z + 2*z - 3*z) as p*z + d and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 less than 1.174272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/21*(-2)\/2. Let i = 19.02 - -5.88. Let h = i - 25.3. Which is the second biggest value? (a) o (b) 2\/5 (c) 2\/7 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 33*u - 25 + 36.\nAnswer: -33*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 499 + 1921. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-75)\/333)\/(-5))\/(111\/(-9990)*-75).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, p: 2, r: 4, q: 9}. Give prob of sequence qm.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 23*d - 2*c = 92, 0 = -5*d + 4*c + 225. Sort d, 1, 3 in decreasing order.\nAnswer: d, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54*g**2*h - 109*g**2 + 2*g with respect to h.\nAnswer: 54*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58935259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y**2 - 351*y + 1. Let s(w) be the third derivative of w**5\/60 + 82*w**2 - 53. Calculate j(s(b)).\nAnswer: -6*b**4 - 351*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102 (base 9) to base 4.\nAnswer: 30230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + d + 10 + 9 + 3*d**3 - 17 in the form k + n*d**2 + l*d**3 + g*d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-8) + 1390\/1112\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2611*t + 11. Let u(m) = 28*m + 1. Calculate 7*u(z) - x(z).\nAnswer: -2415*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4103946396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -90*p**3 + p**2 - p + 1. Give f(1).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15291\/4 + -137809\/36. Calculate the common denominator of (-436)\/30 - ((-1281)\/105 + 12) and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (415 + ((-30)\/(-12) - 3))*(18 + 2) is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x - 10*x = x + 20967. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446*b**2 + 155*b**2 + 146*b**2 + 129*b**2.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124417, -995490, -3359971, -7964608, -15556149, -26881342, -42686935, -63719676?\nAnswer: -90726313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 4*u**2 + u - 3. Let x be z(4). Let v(l) = 61 + 2*l - 3*l + 8*l**2 - 60. What is v(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -454725610 - 5.\nAnswer: -454725615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00052987 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 + -421?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, g: 1, y: 1, x: 1, p: 3}. Give prob of sequence pxe.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 1\/24*f**4 + 9*f**2 + 0*f**3 + 0*f + 0. Let t(x) = 3*x**2. Calculate t(s(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14 + -9)*-2*(-29067)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 202, 698, 1528, 2692, 4190?\n\"Answer: 167*f**2 - 5*f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -10*s**2 - 2. Let j(a) = 18*a. Give j(l(c)).\nAnswer: -180*c**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -19. Let p = 6 - c. Calculate the highest common factor of 20 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 6. Let q = -1 + 1.06. Let m = q + -0.56. Put h, 0, m in ascending order.\nAnswer: h, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -712 + 711.5. Suppose -4 = -3*r + 2. Suppose -n - 4*n - 13 = 4*j, -2 = j. Which is the nearest to 1? (a) n (b) l (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**5\/60 + 7*g**4\/24 + 5*g**3\/3 + g**2\/2 + 3. Let q(f) be the second derivative of v(f). Is q(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30098*f**2*j**2 + 2*f*j**2 - 2*f*j + 5*f + 25*j**2 wrt f.\nAnswer: 60196*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*b**2\/8 - 3280*b + 2961\/2.\nAnswer: (b - 846)*(31*b - 14)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 8 - 4 = -2*g, 4*g + 2 = 2*u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k. Let x(p) = -5*p + 0*p - 922 + 922. What is x(c(w))?\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -3*j + q, -q - 12 = -4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 203, 0, -210 in descending order.\nAnswer: 203, 0, -1, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 57, 117, 177?\n\"Answer: 60*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/5*b**3 - 3\/5*b**5 + 0 + 12\/5*b**2 - 12\/5*b - 6\/5*b**4.\nAnswer: -3*b*(b - 1)**2*(b + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -9*j + 18. Suppose -5*b - w = -279, -j*b - w - 2*w = -165. Calculate the remainder when b is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 13*b + 16. Let n be y(-17). Let p be (n\/(-39))\/((-4)\/(-6)). Suppose 2*z + 950 = p*j, -4*z + 1 - 9 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29455963217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**3*v**6 + 749*j**3*v**2 - j**3 + 8*j - 31239*v**6 wrt v.\nAnswer: -120*j**3*v**3 - 3748680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 21*i - 1384. Let n be j(66). Solve -2*w - 2*l = 6, -n*w = -2*l - 17 + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 51792\/(-204) + (-2)\/17. Let k = 272 + b. What is the highest common factor of k and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 8*v**4 + 2 + (2*v + 0*v - 6*v)*(24*v - 24*v - v**3).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 7. Let k(a) = -a. What is the remainder when n is divided by k(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2*((-3*sqrt(500)*-2 - ((sqrt(500) - sqrt(500)*2) + -4)) + 6*(2 + -2*sqrt(500))))**2)*6.\nAnswer: -38400*sqrt(5) + 306162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 305208 and 139140.\nAnswer: 1179628920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -473188 + -1?\nAnswer: -473189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 e, and 1 d when three letters picked without replacement from {k: 1, e: 4, d: 5}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/20382 and -53\/54.\nAnswer: 183438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-273)\/35)\/((-1968)\/(-16400))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -17*u**2. Let n(b) = -35*b**2 + 18*b**2 + 16*b**2. Determine n(y(r)).\nAnswer: -289*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -2 - 4)\/(-1). Let a be (28\/6)\/(y\/(-9)). Let v = -10 - a. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i + 2. Suppose -8*v - 20 = -3*v. What is the remainder when 9\/12 - (-303)\/12 is divided by x(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**6*y)\/y*y**(1\/26)*y*((y*y**(-3)*y)\/y)\/y*y**(1\/24) assuming y is positive.\nAnswer: y**(1585\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g - 3*l - 28, -5*g = 3*l - 28. Let o be g\/3 + (-2)\/3. Solve -3 = o*s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21316*s**4 + 367081960*s**3 - 1085971077*s**2 - 45093915*s - 464886 = 0.\nAnswer: -3\/146, 3, 17218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -15146943 > -15146944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.17 in 1, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.2, 1\/3, 2\/17 in ascending order.\nAnswer: -0.2, 2\/17, 1\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8982, 9012, 9062, 9132, 9222?\n\"Answer: 10*r**2 + 8972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 19 = 13. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**8\/840 - b**5\/30 - 4*b**3\/3 + 18. Let o(j) be the third derivative of f(j). What is the second derivative of o(t) wrt t?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97 by -84.\nAnswer: -97\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2*l - 61 + 25 = 0, 46*l = 2*m + 558 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(0 - -1)*3\/6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 3*v**2 - 3*v**2)*(-v + 4 - 4) - 1703 - 36*v**3 - 106*v**3 + 1702.\nAnswer: -143*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 468, 3 in increasing order.\nAnswer: 3, 6, 468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17, 21, 15, -7, -51, -123, -229?\n\"Answer: -q**3 + q**2 + 8*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490)*-2*4 - -6*1*sqrt(490))\/(-1*5*(sqrt(5) - 2*2*sqrt(5))).\nAnswer: -14*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 3*x**2 - 8*x + 7. Suppose 56 = 10*s - 2*s. Let k be b(s). Suppose -3*i + 12*i = k. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23674 (base 11) to base 15.\nAnswer: -a172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - k + 1. Let m(c) = -36*c**3 + 54*c - 54. What is 54*b(h) + m(h)?\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5359 and 621.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**3 + a**2 - 2*a - 1. Let c be o(3). Is (0 + c)*(-6)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179374?\nAnswer: 2, 13, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, 4, 0 in descending order.\nAnswer: 4, 0, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -103913, -208132, -312351, -416570, -520789, -625008?\n\"Answer: -104219*i + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1041, -0.5, -0.1, -8, 1\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - sqrt(1728) - sqrt(75)*2) + (-4*(-6*2*sqrt(12))\/sqrt(4))**2.\nAnswer: -30*sqrt(3) + 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(21285\/22))\/(1\/3)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tppx when four letters picked without replacement from xqtpqxqqxxtpppqsq.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 44, 45, 46, 47?\n\"Answer: x + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, l: 5, g: 2, f: 1}. What is prob of sequence fg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1937, -3825, -5739, -7691, -9693, -11757, -13895?\nAnswer: -16119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s - 7. Let h(t) = -t - 1. Let c(n) = g(n) - 6*h(n). Let l be c(-4). Let b(i) = i**2 + 5*i - 1. Determine b(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 1. Let o be h(-6). Suppose -3*v + o*w - 2*w + 262 = 0, -392 = -4*v - 4*w. Let b = v - 47. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/8, 9\/5, 0.27, 0.16, -15?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 154*p - 149*p - 2 = 0, 5*p = -10. Solve -55*o + x = -53*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 1609*a - 52558. What is d(33)?\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 21*v**3 + 9696*v**2 + 55. Let x(b) = -4*b**3 - 1939*b**2 - 10. Calculate 2*j(u) + 11*x(u).\nAnswer: -2*u**3 - 1937*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36115\/(-466)*78\/65?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 19*u + 564740 = -3*u. List the prime factors of u.\nAnswer: 2, 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j + 6538 = -31*j. Suppose -70*b + 68*b + j = 0. What are the prime factors of b?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(234)*-2 + sqrt(234))*2 + (sqrt(234) - (sqrt(234) + 5*-1*sqrt(234) + sqrt(234))))\/(-2*sqrt(242)*2*-4) + 0)**2.\nAnswer: -9*sqrt(13)\/44 + 69813\/7744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 14729*m + 309307. Calculate t(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 + 377*z - 1061. Calculate the remainder when a(-98) is divided by 204.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*p + 2320 = -57*p. What is the greatest common factor of p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00020025 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1302 + -1?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u - 2*u - u - 3*u. Let m be j(-1). Suppose a = -4*p + 811, -443 = -4*p - m*a + 366. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200121 - -21?\nAnswer: 200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -218 (base 9) in base 16?\nAnswer: -b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1285)\/(-2313)*(2001\/7245 - (-2)\/(-6))?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/499942674 and 61\/2070156.\nAnswer: 999885348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -2*l + 8, l + 5*a = -2*l + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -25*s**3 - 4*s**2 + 29*s - 56. What is h(2)?\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40154158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -812.3 minus 0.5?\nAnswer: -812.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**5\/20 - m**4\/2 - m**3\/3 + 13*m**2\/2 + 1288*m. Calculate l(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(396)) + 4 + ((sqrt(396) - (sqrt(396) - (-5*sqrt(396) + sqrt(396)))) + sqrt(396) + sqrt(396))**2 + -1.\nAnswer: 12*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**2 + 20*a + 131. Calculate the remainder when 186 is divided by t(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v - 65. Let j be f(-17). Suppose -30*d + 2330 = -j*d. Is 48 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1986, -1\/5, 0.003, 7, -0.3, -0.4, -3?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 6. Suppose 2*d = 4, 3*c + 30 = -2*c - 5*d. What is the units digit of k(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m - 11. Let z be y(-3). Sort z, 0, 2, -7 in descending order.\nAnswer: 2, 0, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5 - 4 - 6*v + 16. Is f(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 4651*d**2 - 2990441*d - 15068355.\nAnswer: (d - 577)*(d + 5)*(d + 5223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 559259.1 litres in millilitres?\nAnswer: 559259100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*g = -9 - 15, 4*g + 8 = 0. Suppose r = -q*r + 35. What is the lowest common multiple of 9 and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 3. Suppose x - 2*x = -2*g + 14, -19 = -3*g + x. What is f(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4331784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*u - 523776 = 996239, -2*u + 7599990 = 5*i. What is i rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9393, 1728, 20259, 46200, 79551, 120312?\nAnswer: 168483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 27*r**2 + 63*r - 85. Calculate the lowest common multiple of 36 and g(25).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6336 - 6332. Factor 0*f**3 + 16\/5*f + 2\/5*f**o - 6\/5 - 12\/5*f**2.\nAnswer: 2*(f - 1)**3*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {w: 1, g: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 10*o**3 + 20*o**2 - 3*o - 3. Let i(k) = -3*k**3 - 7*k**2 + k + 1. Let j(y) = -2*h(y) - 7*i(y). Suppose 28 - 8 = -5*t. Is j(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g**0\/g))\/g)**16\/(g\/(g\/(g**(1\/2)\/g)))**(2\/27))\/(g**1*g**(1\/9))**(-9\/8) assuming g is positive.\nAnswer: g**(3595\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/5))**8*q**(-1\/5)\/q**(-1\/5))\/(((q*q**(-1))\/(((q*q*q\/((q*q**(-8)\/q*q)\/q))\/q)\/q))\/((q*(q*q**(-3\/7))\/q)\/(q\/q**2))) assuming q is positive.\nAnswer: q**(482\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.064 and -95.864?\nAnswer: 95.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 8*i**2\/5 + 24413*i\/10 - 2289\/5 = 0.\nAnswer: -1526, 3\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30070 and 113005.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60949241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, i: 4}. Give prob of sequence ti.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23\/11 in -3\/14, -42, -0.2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*v + 27*v - 10*v - v**2 to the form r + s*v**2 + f*v and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44 + -43 + (5 - (4 - 2)). Suppose -o = -3 - 0. What is the third derivative of -3*t**3 + p*t**o - 8*t**2 - 5*t**3 wrt t?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69031386 and 65925.\nAnswer: 2637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - v = 3*h + 383, -3*h = -2*v - 1152. Solve 3*t + 392 = h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3774*z**2 + 154*z + 5307918 wrt z?\nAnswer: -7548*z + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 - 71. Calculate the remainder when z is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8639 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 24*y**2 - 25*y + 1. Let x be v(-25). Let i = 15885\/13 - 1221. Which is smaller: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209 + -153. Let q = -225 + 332. What is the remainder when q is divided by m?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-2 + -2 - -8 - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1000110000110110001011 (base 2) to base 12\nAnswer: -9294b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 16 = -2*t - 2*b, -b = 5. Suppose 4*o = -t*d + d + 29, -2*d = 2*o - 16. Calculate the greatest common factor of o and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x + 9. Let m(d) = d + 1. Let u(t) = -6*m(t) + y(t). What are the prime factors of u(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 3*y - 15 = 0, -11*y + 10*y - 5 = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1484.5291 - 1485. What is u rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -6. Suppose -7*a = -3*a + 96. Calculate the smallest common multiple of c and a*(-1)\/3*1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 6 - (-5 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1487, 1455, 1417, 1373, 1323, 1267?\nAnswer: 1205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 157472*i**4 + 472461*i**3 + 472551*i**2 + 157607*i + 45 = 0.\nAnswer: -1, -45\/157472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - p - 2. What is s(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n + 7*n + 8*n + n to the form u*n + w and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 306.9 + -310.9. Which is the third smallest value? (a) 4 (b) r (c) -0.1 (d) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 405\/(-81)*(-1 + 1\/(-5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + c - 186 + 194, -11*g - 2*c + 2 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3471776 = j - 15228219, 0 = j + 4*h - 18699980. What is j rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2990 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 464 = -0*d. Solve d = 4*r + 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -10567.\nAnswer: 52835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*f - 16 = 0, 0 = 5*y + 2*f + 11 + 9. Let w be y\/27 + 76\/18. Suppose -w*v + 3 + 5 = 0. What is the least common multiple of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 246993*x**2 - 2964240*x - 8893044.\nAnswer: 3*(x - 82343)*(x + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -10*p - 13. List the prime factors of (-4)\/p - (-20 - 184).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 163646?\nAnswer: 1800106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 1. Let f be d(-7). What is the remainder when 15 is divided by (12\/f)\/(3\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, g: 1, x: 4, f: 2, o: 1}. Give prob of sequence of.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -47*p + 1032. Give y(24).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 513 - 514. Let t be (-4 + 4)\/(-14) - (q - 1). Solve 3*z - 7*z + t*a - 12 = 0, 0 = 2*z - 2*a + 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/39 - 3\/65. Which is the third smallest value? (a) s (b) -1 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6455706?\nAnswer: 2, 3, 19, 56629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*f**3*o*v + 1570*f**3 + 2*f**2*v + 2*f*o*v - o with respect to o.\nAnswer: 7*f**3*v + 2*f*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18.55555g?\nAnswer: 18555.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16708 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17\/((-68)\/700)*(-20)\/14. What is the greatest common factor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41854 and 4.\nAnswer: 83708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 13171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y = 2*b - 6, y + 2*b - 4 = 0. Suppose -3*c = y*c - 635. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.37 + 0.77. Let g = -24 + 22. Which is the closest to 11? (a) g (b) 1\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-1)*s\/(s*s**(-20))*(s*s*s**(13\/4))\/(s*s**(-3)\/s*s) assuming s is positive.\nAnswer: s**(109\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 54*m**2 - 8*m. Let b(s) = s**3 - 55*s**2 - 6*s. Give 4*b(a) - 3*q(a).\nAnswer: a**3 - 58*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/1373?\nAnswer: -9\/1373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times 31302.3\nAnswer: 37562.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 16*c + 22. Let x(t) = 11*t + 1. Let k(d) = -23*d - 1. Let h(l) = -6*k(l) - 13*x(l). Let j(r) = 10*h(r) + 3*p(r). Is j(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -19 + 4 + 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3067 + 4137 = -667*x - 9838 - 11770 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 233422 and 31444?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 1.2. Let b = j - 0.5. Let v = 505\/8 - 63. Sort v, 1, b in decreasing order.\nAnswer: 1, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 5*c - 80. Give b(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*x + 22 + 55 + 95 - 28 - 195*x.\nAnswer: -146*x + 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 28644.783 to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 631427908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**2 - 1322*m + 2481.\nAnswer: -4*m - 1322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**6\/120 - v**5\/60 - 3*v**4\/8 + 13*v**3\/6 + 18*v**2. What is the tens digit of s(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (27 - 11)\/((-1)\/(-3)). Solve -44*z - 20 = -q*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 15*a + 22. What is the smallest common multiple of 2 and w(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/10 and -37\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914 is divided by 222.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owksokwsoswfwswow. What is prob of sequence kw?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65) - (sqrt(65) + sqrt(65) + -2*(sqrt(65)*3 - sqrt(65)))))\/((sqrt(245)*-2 - sqrt(245)) + sqrt(245)).\nAnswer: sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3 + 12446*m**2 + 287364*m - 299808 = 0.\nAnswer: -24, 1, 6246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(432)*-3)\/(sqrt(9)*1*-1))**2 - ((1 + sqrt(147))*2*-5*2)**2.\nAnswer: -48400 - 5600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*l + 22 = 0, 5*k + 3*l = -0*l - 62. Let p be (6\/k)\/(-5 - -6). Sort -0.2, p, 0.1 in decreasing order.\nAnswer: 0.1, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.2 - 3.7. Let m = -511 + 459. Let a = m + w. What is a rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 10*h + 48. Let v = -46 - h. Let j(l) be the first derivative of l**4\/2 - 2*l**2 + 3*l + 2. Determine j(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 23*d**4\/24 - 5*d**3\/2 + 39*d**2. Differentiate z(b) with respect to b.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 216\/5 + -43. Let m = -1\/71 + -211\/142. Let n be (-15)\/4 + 4 + 0. Which is the nearest to z? (a) m (b) -0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -37, -1, 59, 143, 251, 383?\n\"Answer: 12*h**2 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44331467.2 rounded to the nearest 100000?\nAnswer: 44300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 + 3*a - 27 + 79 + 88 in the form g + n*a and give g.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + z - 63 = 0, -3*z - 49 = -3*j + j. Suppose -j + 53 = -12*t. Let d be 1*4\/(-8)*(-11 + t). Which is bigger: -0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 - 54. Let d = -70 - -64. Put -4, d, v in decreasing order.\nAnswer: v, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6.5 (b) 13 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**5\/60 - g**4\/12 - g**3 + 9*g**2 - 27. Let w(a) = 2*a**2 + 5*a + 19. What is -8*q(d) - 3*w(d)?\nAnswer: 2*d**2 + d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (44 - 41) + (6 - 0). What are the prime factors of 19740\/54 + 4\/z?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 16 = -0*o - 4*f, -2*o + f + 9 = 0. Is o at most as big as 36\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65704 or 58795?\nAnswer: 65704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.357 plus 5?\nAnswer: 6.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82438 divided by 1465.\nAnswer: -82438\/1465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p - 94 = -d, 5*p + 3*d = 102. Let s = 286 + -276. Calculate the lowest common multiple of p and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(425) + -1 + 5 + -4 + (sqrt(425) - 3*sqrt(425)))*1*-3.\nAnswer: 6 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 12*d + 4. Suppose -21*m = 22*m. Suppose m = -26*j + 33*j + 84. Give p(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1539)*2 + sqrt(1539))*2 + 5 + sqrt(1539)*-2 + -2 - ((sqrt(1539) + 1)*-2 + -2 + -1*sqrt(1539)))**2.\nAnswer: -301840 - 3528*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 4, -p - n + 2*n = 6*n + 13 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/(i*i\/(i**(-2\/17)*i)*i)*i**(-3)*i**(-3\/7))\/((((i*i**5*i)\/i)\/i)\/i**(4\/3)*i**(-6\/7)*i**(-1)*i) assuming i is positive.\nAnswer: i**(-2983\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174, -196, -258, -378, -574, -864, -1266?\nAnswer: -1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (505 - -21)\/((-4)\/(-14)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3299200*u**2 + 212*u + 1060. Let a be j(-5). Round a to the nearest 1000000.\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 70 (b) 0 (c) 0.1 (d) -2 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 45*n**2 - 4 + 8*n + 4 - 46*n**2 - 4. Let o(h) = -h**2 + 9*h - 5. Calculate 5*g(b) - 4*o(b).\nAnswer: -b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101122122121 (base 3) in base 10?\nAnswer: 1804021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 39 = -0*t. Let w(o) = -4*o - 23. Let l(u) = -u - 1. Let s(r) = 5*l(r) - w(r). Calculate the remainder when s(t) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5*sqrt(152)*1*1)\/((1*sqrt(72)*-2 - sqrt(72))\/sqrt(9)))**2.\nAnswer: 7600\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b + 537 - 377 = 400 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 o when three letters picked without replacement from uoeouuototoxut?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/13 - 876*c**3\/13 + 1718*c**2\/13 + 11316*c\/13 + 8720\/13 = 0.\nAnswer: -2, -1, 5, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 8*o**6\/5 - 203*o**3\/3 - o - 157. Find the second derivative of b(a) wrt a.\nAnswer: 576*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**6\/360 - r**5\/40 + r**4\/12 - 4*r**3\/3 - 3. Let k(i) be the third derivative of a(i). Factor k(u).\nAnswer: (u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*s + 20 + 10, -5 = -5*s - 5*y. Suppose 4*g + 21 = s*z, -10 = 3*z - 5*z. Suppose 7 = 2*a + g. Is 2 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1318267 (base 13) to base 5.\nAnswer: -3013042443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.4 (c) -36 (d) -838 (e) -2\/9 (f) 5 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + z + 1. Let o(s) = 138*s**2 + 5*s + 6. Give o(j) - 5*y(j).\nAnswer: 128*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 45150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -i - 138 - 80, 3*i - 2*q + 654 = 0. What is the common denominator of -29\/27 and (0 + i\/(-15))\/(-9 + 13)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**2 - 5*o + 5*o)*(-999*o - 291223 + 291223) + 0*o - 2*o**3 + 0*o to i*o + s*o**3 + a*o**2 + c and give s.\nAnswer: 997","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.56168 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 2174*g**2 - 558272*g.\nAnswer: -2*g*(g - 671)*(g - 416)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/1*-1*5. Suppose -29 = x*u + w, 5*u = -0*w + w - 21. Sort -4, -1, u in decreasing order.\nAnswer: -1, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - (-5 + -16))*2063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 + 9*i - 10. Let n(y) = -2*y**2 - 5*y + 4. Determine 3*m(f) + 5*n(f).\nAnswer: -f**2 + 2*f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - ((-19)\/3 - 10\/15). Suppose 5*t - k - 2 = 0. Solve -t*g + 5*z + 23 = 0, -3*g + 5*z = -33 + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110973257.\nAnswer: 110973257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -43. Let h be 4\/p - (-56)\/20. Let q(b) = 2*b - 4. Let j be q(3). Solve -j*o + 3*o = -h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145 by 29.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140 + 42518*a - 144 - 44695*a to w + m*a and give m.\nAnswer: -2177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n*(n\/((n**(1\/3)\/n)\/n*n)*n)\/n)\/n*n)\/n)\/n*n)\/n)**32\/(n*n**(-1\/2)*n*n**(-5)) assuming n is positive.\nAnswer: n**(149\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/6)\/x)\/x**(-3\/14)*x\/(x*x*x*x**(-20))*x**(-1\/6) assuming x is positive.\nAnswer: x**(227\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4917055 >= 4917062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2683 rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -48\/7*q**2 - 64\/7 + 16*q - 4\/7*q**3 + 4\/7*q**4 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/s**(2\/39)*s**(-1)*s**(-4\/5)\/s)**(-6) assuming s is positive.\nAnswer: s**(-838\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5084*p - 18063 - 18168*p + 18063 - 14318*p)*(3 - 3 + 2*p).\nAnswer: -54804*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(-33) assuming w is positive.\nAnswer: w**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 less than 123.6?\nAnswer: 123.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3303 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 656363.6 millilitres to litres.\nAnswer: 656.3636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 1\/5 (c) 3\/11 (d) -0.1 (e) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6 = -3*d + 7, -5*d + 3*n = -31. Suppose -7*q + d*q + 4*g = -16, -2*g - 8 = 2*q. Let m(z) = z**3 + z**2 - 2*z + 8. What is m(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 296, 1453, 4418, 10091, 19372, 33161, 52358?\n\"Answer: 150*d**3 + 4*d**2 + 95*d + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*i - 14 - 756, -4*b + 186 = i. Let n = i + -171. Solve 5*f = 4*w - n, 8 = 2*w - 4*w - 4*f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 136033\/10 - 13615. Let k = 863\/3 + -535\/2. What is the common denominator of a and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d = -15. Let w be (-10)\/22*(-18)\/d. Let n = w + 15\/88. Calculate the common denominator of n and 15\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:22 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 5.5, -1.182?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9, -134, -461, -1092, -2129?\n\"Answer: -17*u**3 + u**2 - 9*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44480494 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 488, 971, 1454, 1937, 2420, 2903?\nAnswer: 3386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0733 - -0.2777. Let r = -0.651 + m. What is the closest to -1 in -3, 2\/3, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 26 - 2. What is the second derivative of 2*s**4 + 10*s**o - s - 4*s**4 - 2*s wrt s?\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2 + 13 = -3*z, -4*z + 5*w = 19. What is the smallest value in z, -1\/9, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 1 = -5*v. Let w be (17 + -20)\/((-2)\/(3 - 1)). Let t be ((-6)\/3 - 0) + 2. Sort w, t, v in ascending order.\nAnswer: v, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 9*q**2 - 11*q + 12. Calculate n(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 240052549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004555 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365*n + 368*n - 731*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16298.\nAnswer: 2, 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**7\/14 + h**4\/3 + 7*h. Find the third derivative of d(f) wrt f.\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6578127.\nAnswer: 3, 67, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1110?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 750*i = 95*i - 2037 + 27582 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 2:17 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 926*a - 8320. Let n be f(9). Solve -33 + 47 = -n*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83993*y**6 - y**5 + 3*y**3 - 64198*y**2 + 2*y.\nAnswer: -10079160*y**3 - 60*y**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36276 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1636 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*o - 22*o - 10*o + (3 + 3 - 2)*(-o - o + 0*o + (2 + 0 - 4)*(8*o - 3*o - 3*o) + 0*o - 3*o + 2*o + 0 + 0 - 2*o) to the form n*o + q and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*s**3 + 104*s**2 + 1473.\nAnswer: 12*s**2 + 208*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 7:33 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -d - 8 - 17, 5*d = 3*b - 15. Let t = d + 3. Solve -t*j - 12 = -0*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u + 8 = 0. Solve -u*s + 18 = g, -4*g + 14 = 4*s - g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**(-3\/4)*i)*i)\/i**12)\/((i*i**(-9)*i)\/i**(-1\/7)))**(1\/12) assuming i is positive.\nAnswer: i**(-95\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 29 + (-4 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - 28 - (-8 + 30)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -156335730.0000021 - -156335718. Let x = u - -12. Round x to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*h = 42 - 2, 4*h + 77 = 5*j. Let q = 10 + 0. Suppose 0*s = -2*b + 3*s + j, b - q = 2*s. Let m(p) = -p**2 + 3*p + 1. Determine m(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 901, 871, 675, 229, -551, -1749, -3449?\nAnswer: -5735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {v: 3, t: 7, u: 1, h: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.091 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -41026 (base 14) to base 6\nAnswer: -3204134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/5, 0.1, 242, -4, 1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 18. Let d be j(-15). Suppose -3*b + l + 23 = -21, 57 = 4*b - d*l. Which is greater: 1\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 392 and 1944.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -49a5 - 2155b?\nAnswer: -26344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 21 = 2*f. What is the tens digit of (-18)\/(-7)*98\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**4\/12 - 2*j**3\/3 + j**2 - 2*j. Let h be l(5). Let u be (-14)\/h*(-5)\/(-2). Which is smaller: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.4 - -6.3. Which is the closest to t? (a) 3 (b) 4 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4794 * 13.\nAnswer: -62322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*o + 4. Let q be (-6)\/15 + ((-20)\/25)\/(-2). Suppose q = 5*z - 3*g - 61, g + 2*g + 39 = 3*z. Which is smaller: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-16))\/1*(-41)\/(-123).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (10 - ((-27 - -19) + 13)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(8\/96*-9)*(-66)\/(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -369 + 438 - (112 + 1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4 - 57217*s**2 - 1 - 2*s**3 + 57219*s**2.\nAnswer: -2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, q: 9}. What is prob of sequence eqe?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 4864.\nAnswer: 160512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 662 or 0.05?\nAnswer: 662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34622 is divided by 293?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4))**24 assuming d is positive.\nAnswer: d**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1407*p = -888*p - 469*p + 342736 for p.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-780))\/(270\/(-300) + 1).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.87 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - -16) + -1)*2\/(-8).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -42. Suppose r = y - 5*y. Let a = 2.7 - 3. What is the second biggest value in y, -1\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 2140033?\nAnswer: 2140036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 13*r - 63 = 0. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -5457?\nAnswer: 5465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20.2467409278 and -20.8.\nAnswer: -0.5532590722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**3\/2 + 8*o**2 + 123*o + 2. Calculate a(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 3*j - 7. Let c be o(-5). Suppose 0 = -c*y - 0*y - 4*g + 2, 5*y - g + 12 = 0. Let d be (-12)\/(-10) - y\/(-10). Which is greater: 2 or d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 - 2*o + 7. Suppose 0 = 3*d + 3*u - 3, -3*d = -2*d + 4*u + 14. Let f be h(d). Let q = -66 + f. List the prime factors of q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-5))\/(9\/45). What is the units digit of 1*(n + 28) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -137, -621, -1473, -2729, -4425, -6597, -9281?\n\"Answer: -6*j**3 - 148*j**2 + 2*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-11)*(-33)\/(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + sqrt(144)\/(sqrt(24)\/sqrt(2))) + 4.\nAnswer: 8*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 40 = -19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 - -187. What is the highest common factor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330011022 - 211?\nAnswer: -330011233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43867020 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 46843 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**10\/151200 - b**6\/180 + b**5\/12 + 4*b**2. Let h(n) be the third derivative of o(n). What is the derivative of h(y) wrt y?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2223321 (base 4) to base 9.\nAnswer: 16073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-33 + -1)) + 19951 + -20042.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 2. Let m(k) = -201*k**2 + 2*k - 1. What is -2*b(j) + m(j)?\nAnswer: -201*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13272 and 146719590?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -2\/3, -4, 7\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 4*d = u - 10, -d - 1 = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -18*v + 42. Let h(j) = 22*j - 43. Determine -5*h(n) - 6*s(n).\nAnswer: -2*n - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 30. What is the nearest to j in -4, -2\/11, 16?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3403, -7036, -10889, -14956, -19231, -23708, -28381?\n\"Answer: v**3 - 116*v**2 - 3292*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 11, 0, 2, 6, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4 = j, 16 = -21*j + 25*j + 5*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/78)\/(3\/3*(-171)\/(-2223))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - 3*w - 5. Let n be f(4). Suppose 4*g - 5*q + 11 = 35, 2*g - 3*q = 12. Calculate the highest common factor of n and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 18122 = 16388. Calculate the lowest common multiple of 20 and k.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*g*i*r**3 - 607*g*i*r - 350*g*r**3 - 27*g*r + 82*i*r**3 + 104*i*r wrt r.\nAnswer: -66*g*i*r - 2100*g*r + 492*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f**3 - 10*f**2 + 11*f + 24. Let q(i) = 10*i**3 - 10*i**2 + 10*i + 24. Let o(b) = -3*a(b) + 2*q(b). Factor o(m).\nAnswer: -(m - 8)*(m - 3)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 7*q. Let f be z(-7). Differentiate f + s**4 + 0 + 3 wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/(-1*sqrt(4)) + sqrt(20))*1*-3)\/(sqrt(70)\/sqrt(7)*5 - (1*sqrt(810) + sqrt(10))) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -14.7. Let a = 0.3 + n. Let m = 13 + -12.9. Sort a, m, -0.2 in decreasing order.\nAnswer: a, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 56*v - 78. Let h(g) = -5*g + 7. Let y(f) = 68*h(f) + 6*t(f). Calculate y(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22486 divided by -3\nAnswer: 22486\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*c - 2*y, 5*c + 3*y + 0*y = 9. Suppose j - c*j = -6. Suppose 4*m + 5*h = 48, j*m + h - 13 = 3*h. Which is greater: 4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1348390 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18\/1967 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 5 = 2*y - 13, -2*f = 4*y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (19032\/(-22))\/(-39) - 22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = -q + s - 3*s, -2*s - 914 = -3*q. Calculate the greatest common factor of 34 and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 5*f + 9. Let k be x(9). Suppose -4*a + k = a. Suppose -3 = -q + a. Calculate the highest common divisor of q and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101000110 - -11111111111000?\nAnswer: 100010100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 83 - 8 = 0. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2841 (base 11) to base 13\nAnswer: 1899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2717\/(-551) - -5)*-1.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*q - 113*q - 119*q)*(q + 0*q - 3*q)*(0*q + q - 3*q).\nAnswer: -684*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -16*z**2 - 2261*z - 700. Calculate g(-141).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + a3?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbxbo. Give prob of picking 1 x and 2 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/3)*t*t**(-18)\/t assuming t is positive.\nAnswer: t**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8459*l - 8526*l = -201. Let n(h) = 4*h**2 - 2*h + 1. Let b be n(1). Let m be 59\/b - (-14)\/(-21). Solve 3*k + m = -l*t + 5*t, t - 7 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37440298 a multiple of 574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -25*n + 1670. Let h be f(29). What is the highest common divisor of h and 735?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 4*v + 1066, 17*o - 12*o - 2717 = 3*v. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16004*t - 8000*t - 8004*t - 1321*t**2 to l*t + f + p*t**2 and give p.\nAnswer: -1321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 2:22 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 40*x**3 - 5*x**2 + 7*x + 82. Let p(h) = 81*h**3 - 9*h**2 + 13*h + 150. Give 11*m(d) - 6*p(d).\nAnswer: -46*d**3 - d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 - 36*k. Let n be h(-12). Solve 4*m = -n*m - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-6))\/((-770)\/(-11550))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 + 0.7. What is the second smallest value in -2, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -291c40?\nAnswer: -291c3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1641 divide 624425115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 443 - 443. Suppose z = -45*n + 1562 + 1588. Calculate the remainder when 133 is divided by n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 7*s**2 + 4*s - 17. Let h be x(7). What is the second derivative of 12*w - h*w**2 - w**2 + 10*w - 12*w**2 wrt w?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86089e (base 15) to base 5.\nAnswer: -3113140244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*((h*h**(1\/3))\/h)\/h)\/h)\/(h**(-6)\/h*h))**(4\/15)*h**7*h**(-2\/13)*(h\/h**(3\/4))\/h*h**0 assuming h is positive.\nAnswer: h**(17593\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -44*s**5 - 212*s**4 - 224*s**3 + 224*s**2 + 320*s - 64 = 0.\nAnswer: -2, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 432919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 3*h - 60 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -825 and -14.\nAnswer: -839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 26, -39, 7, 6.\nAnswer: -39, 5, 6, 7, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 33*n**2. Let w be u(-1). Let h = 10 - 31. Let f = w + h. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3492191924 to the power of 1\/4, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -11. Suppose 2*s + 2*v + v - 27 = b, 3*s + 7 = 5*v. Calculate the highest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 12:00 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10*l**2 - 11*l + 11. Let i(p) = -2*p**2 + 2*p - 2. Let g(k) = 11*i(k) + 2*j(k). Let q(h) = -4*h**2. Determine g(q(f)).\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufsu. Give prob of picking 2 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - 1*sqrt(66))*-1)\/(sqrt(6) - sqrt(12)\/sqrt(2)*-4 - sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, v: 1, m: 1, d: 3, c: 1}. What is prob of picking 1 c, 1 v, and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 723047, 12 in decreasing order.\nAnswer: 723047, 12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 499593 (base 12) to base 8\nAnswer: 4444377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135487396716 - 19511675488630403\/144011. Let i = q + 18\/2939. Calculate the common denominator of 89\/56 and i.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 + t - 1. Let n be w(1). Let g be -2*n\/24*-1. Let i be (-10)\/42 + 6\/18. Which is the second biggest value? (a) 2\/7 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2167 - 2326. Is 23 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*q - 8*q - 2239916. Suppose -6*y = -2*y + 3*s - q, -5*s + 79980 = y. Round y to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6090228.315 plus 59?\nAnswer: -6090169.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1521528223274 and 10.\nAnswer: 1521528223284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 29*m**2 + 210*m - 1. What is h(35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 less than -699?\nAnswer: -698.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 93 = -39. What is the units digit of p\/4*16\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63.815 + -64. Let n = -2317733.1849923 + 2317733. Let a = n - j. Round a to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**4\/13 - 8*j**3\/13 + 4*j**2\/13 + 24*j\/13 - 18\/13 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 11*d**2 - 12*d - 13. Suppose -3*m - 41 + 11 = 0. Let z be l(m). What is the remainder when 58 is divided by z\/(105\/80)*9\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 4 - 4 + (0 + 0 + 1)*(-5*x + 2*x - x) as w*x + g and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 9. Suppose 0 = c + 5*z - 12, 2*c + 0*z = 2*z. Suppose -j = -c*j + 4. Give t(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57921022 to the power of 1\/3, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 517.7825 minutes in microseconds?\nAnswer: 31066950000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10252, -84277, -285204, -676483, -1321564, -2283897, -3626932?\n\"Answer: -10575*r**3 - r**2 + 3*r + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) -0.5 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 244 = 63*q, 76*f - 81*f - 16 = q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90638768 to the power of 1\/2, to the nearest integer?\nAnswer: 9520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.93 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - -5 - (1 - (2 - 3)). Suppose 10*n = 7*n - w. Put 0, 2, n in ascending order.\nAnswer: n, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**6\/120 - 29*j**5\/60 - j**3\/3 - 367*j**2. Find the third derivative of x(r) wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -45, 2, 107, 15 in descending order.\nAnswer: 107, 15, 2, 0, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-4))\/1)\/(1935\/430)*-39.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 260*y**2 + 316*y**2 + 28 + 2458*y**2 to n*y**2 + c + t*y and give n.\nAnswer: 3034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -323, -327, -323, -305, -267, -203, -107?\n\"Answer: i**3 - 2*i**2 - 5*i - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.2801 weeks in microseconds?\nAnswer: 101775804480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 + -48476.15.\nAnswer: -48489.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1090291102 + 38.1090280902. Let j = 0.012 - -37.988. Let i = f - j. Round i to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/2, -0.9.\nAnswer: -0.9, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 14*x**2 - 122*x + 294. Does 21 divide d(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*j - 2*h*o - 128*h - 3*j - 10*o wrt h.\nAnswer: 2*j - 2*o - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 13 = -5*l - c, -2*l + 4*c = 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 334 - -86. Suppose -h = 2*i - 6*i. Suppose -2*f + 153 + i = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**4 + 3*k**2 - 3*k**2)*(5*k - 5*k + k) + 399*k**5 - 1395*k**4 + 1395*k**4.\nAnswer: 398*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 502.5 - 502.4. What is the third smallest value in p, -3, -8\/9, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -11\/324?\nAnswer: -11\/324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425*b**2 + 416376 - 416376 + 5*b.\nAnswer: -425*b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -1419291248?\nAnswer: -1419291248.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, l: 3}. Give prob of sequence llgl.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 66*i + 34. Let v(x) = 145*x + 69. What is 11*h(o) - 5*v(o)?\nAnswer: o + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 10083*j**3 + 5*j**2 - 25*j - 5. Let c(d) = -20322287*d**3 - 10078*d**2 + 50390*d + 10078. What is 5*c(h) + 10078*y(h)?\nAnswer: 5039*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 500 minutes before 9:55 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 9*p**2 - 11*p + 12. Suppose -j = 4 - 1. Calculate the lowest common multiple of v(10) and ((-20)\/j)\/((-4)\/(-6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 787*g - 14193. Calculate s(18).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9009153 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*b + 3604 + 988. Suppose -5*j + b = -2*m, 2*j - 170 = -3*m - 40. Let g = -49 + j. Solve -n = n - g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a meter in centimeters?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 - 2*y**2 - 71*y - 23. Determine l(-8).\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(63\/6)*(-9408)\/(-48)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 48*o**2 + o - 2. Let f be b(-24). Let z be (-2)\/28*(22 + f). Factor z*y**2 + 8\/7 + 8\/7*y.\nAnswer: 2*(y + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1394 and 8772.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 182, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 40 + 32 = 0. Suppose t*g - 12 = 4*g. Let i be (6\/(-18))\/(1\/g). What is the nearest to 5 in 0.2, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 19. Let m(o) = 13*o - u*o - 6*o. Let l(s) = 7*s**2. Let w(c) = -112*c**2. Let i(j) = 49*l(j) + 3*w(j). Calculate i(m(d)).\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3612 - 1152276\/319. What is the common denominator of b and 89\/696?\nAnswer: 7656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzbbbbzzzzbbb. What is prob of sequence zzbz?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, -5, -186, -487, -908?\nAnswer: -1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1, -217 in decreasing order.\nAnswer: 3, 1, -1, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 20*n**2 + 19*n - 6. What is q(19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1207 and 119?\nAnswer: 8449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 5:02 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 + 26*s**2 - 15*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108900 by -396.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 6*r**2 - 6*r - 6. Suppose 40*g - 72 - 8 = 0. Suppose 0 = -2*x - 4*t + 12, 11 - 21 = 5*x + g*t. Give j(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25843.\nAnswer: 43, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -373818 plus -294485?\nAnswer: -668303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407, -414, -421, -428, -435?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*w - 5*p, -5 = -2*w + 3*p + 10. Calculate the lowest common multiple of 2 - (40\/(-12) + 6\/18) and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j + 5*i - 151, -5*j + 301 = -4*i. Calculate the remainder when j is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 2339.\nAnswer: 6\/2339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3 = l - 7, -3*l - 6 = 3*s. Suppose 0 = s*o - 2*o. Suppose -z + 8 = z + 2*k, 2*k + 22 = 4*z. Solve -a = z*n + 6, o = 5*n + 4*a - a + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/(((-2424)\/528)\/101)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2 + 3*k - 4. Let l be s(1). Suppose 0 = -l*v - 3*v + 246. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1221.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2154*h - 8*h**2 + 106 + 1085 + 2150*h wrt h?\nAnswer: -16*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*v + 19 = -0*q, -13 = -4*q + v. Let j(s) = -s - 3. Let u be j(-2). Is (u - q\/(-2)) + 10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n**2 + 7*n - 13. Let h be p(6). What are the prime factors of h\/(-5) + 4\/(-10)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ommooowjxomoofwwxw. What is prob of sequence jwm?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f. Let u(h) = -h**3 + 4*h**2 - 2*h - 2. Let x be u(2). Let q(t) = 4 + 3 - 2*t**x - 7. Determine n(q(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16, -1.2, -3.\nAnswer: -16, -5, -3, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 893130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3 - 52422*s**2 - 2258853*s - 14714280 = 0.\nAnswer: -35, -8, 17517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-764)\/(-22) + (-378)\/(-1386))*4\/14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1390 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4039895*v**2. Let o(d) = -11*d**2. Determine h(o(c)).\nAnswer: 488827295*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4*20\/165. Let h = -4 + 15. Let f = h - 16. Which is the smallest value? (a) f (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.129961, 5, -25 in descending order.\nAnswer: 5, 0.129961, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/3160)\/((-76)\/12070). Let l = 3\/316 + z. Let s = l - -26\/57. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.8 + 0.2. Let y = -2.069 + 1.769. Which is the nearest to -2\/9? (a) s (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/(-12)*-1*3. Let l(t) = 10*t + 53. Let h(i) = -7*i - 35. Let k(j) = 7*h(j) + 5*l(j). Does 9 divide k(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167 * -1.4\nAnswer: -233.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n**(2\/7)*n)\/n*n)**(-2\/21)\/((n*n**8)\/n**8))\/((n**(2\/7))**(-15))**(-7) assuming n is positive.\nAnswer: n**(-4589\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10723.1 + 10723. What is the nearest to 2\/5 in -0.02, 26, y, 1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.014, -4\/7 in decreasing order.\nAnswer: -0.014, -2\/7, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q - 3*q = -4*q - 17514. Let v = 30 - 19. Let h(o) = -q - v*o + 834. Let z(a) = 2*a. What is h(z(k))?\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - j - 1. Let g(m) = m**3 + 3*m**2 + 13*m + 14. Let b(t) = g(t) + 5*i(t). Let f be b(-7). Suppose 0*q + 38 = f*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 9*h - 8. Let c(f) = 3*f. Let l be c(-2). List the prime factors of v(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-36)\/(-36)*(-4)\/34)\/1)\/2.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10429, -10427, -10425, -10423, -10421, -10419?\n\"Answer: 2*g - 10431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7533*n - 7533*n - 129*n**3)*(-17 - 13*n - 2 + 31) to the form r + w*n**2 + v*n + s*n**3 + q*n**4 and give s.\nAnswer: -1548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 14*g + 21*g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 + -8 + 441585\/(-28). Let r = i + 15773. Find the common denominator of r and 5\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2\/x)**(-15\/8)\/(x*x*(x**(-2\/9)*x)\/x)**(9\/7))**(3\/44) assuming x is positive.\nAnswer: x**(-699\/2464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7441 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2272 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: Let k(c) = -77*c**3 + 7*c**2 - 8*c - 50. Is k(-3) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -10010001001?\nAnswer: 10010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -659*o + 251*o**2 + 551*o - 250*o**2 - 736*o to the form i + c*o + x*o**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1913950 divided by 1010.\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.629187s in microseconds?\nAnswer: 629187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-90)\/(-12) - (-1)\/(-2). Let l be 2\/(i\/((-147)\/(-6))). Is l greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 25 - ((0 - 1) + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5904324694 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 45*s**2 - 57*s - 264. Calculate b(-44).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35226 (base 8) to base 7.\nAnswer: 61504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 58, -0.2, -1\/3, -5, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7497 and 120717.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68147358.\nAnswer: 2, 3, 2089, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 65 + 27 + 38.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/(-10)*34\/(-119). Let n(s) be the first derivative of -3 - 3\/5*s**2 + 2\/15*s**3 + b*s. Factor n(p).\nAnswer: 2*(p - 2)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**4 - 20*z**4 - 6 + 13*z**4 - 2*z**4 + 5*z**4 - 5*z**4 + z**3 - z**3 + z**4 + (0 - 2 + 0)*(-5*z**4 + 2*z**4 + 5*z**4).\nAnswer: -6*z**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*t = 118, 2*t + 8 = 6*t. Let v = j + 385\/3. Sort 2\/17, -0.3, v, 3 in descending order.\nAnswer: 3, v, 2\/17, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*a + 0 - 16 = 0, 2*w + 5*a = 22. Let y(i) = -i**3 + 11*i**2 - 4*i + 2. What is the units digit of y(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l + 45. Let f be g(-7). Solve 4*c = -c + f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 17*k**3 - 2*k**2 - 3*k - 3. Let y(b) = 34*b**3 - 5*b**2 - 7*b - 6. What is 7*h(t) - 3*y(t)?\nAnswer: 17*t**3 + t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.37 - 0.44. Sort -2\/9, 2\/11, h in ascending order.\nAnswer: -2\/9, h, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.01 (b) -1.275 (c) -4\/7 (d) 5 (e) -439 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/57*(-1)\/(2\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5 - 8)*(-20*d + 2*d - 28*d) as i + q*d and give q.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 515926, 515925, 515924, 515923?\nAnswer: 515922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/2)\/1*25\/(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/148 and 23\/8.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1110828*q + w - 89 = -1110833*q, -w - 19 = -q for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17863, 35760, 53687, 71644?\nAnswer: 89631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1330*j = 1336*j - 96. Solve -15*i = -j*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1296 - -904. Let c be 14\/4*(-84)\/w. What is the third biggest value in -1\/5, -145, c?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3998498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83094590?\nAnswer: 2, 5, 47, 176797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s = -64*s + 230. Suppose 5*u + 4*y - 109 = 0, 65 + 19 = 4*u + 4*y. What is the greatest common divisor of s and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 882?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 899, 705, 511, 317, 123, -71?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*g + 15. Suppose -g*z - 4 = -4*z. Let u(r) = -r**2 + 1. Let y(n) = -7*n**2 - 2*n + 4. Calculate z*y(b) + 6*u(b).\nAnswer: b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125734973 and 47865.\nAnswer: 3191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7556102 millennia to decades.\nAnswer: 75.56102","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18332, 29690, 41046, 52400, 63752?\n\"Answer: -z**2 + 11361*z + 6972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g - 10. Calculate t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o - 115. Let r be -400*((-6)\/(-3) + o). What is r rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 650*h - 1296. Let j be g(2). Put -370, -1, 4, j, 3 in ascending order.\nAnswer: -370, -1, j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -y - 114 + 260, 235 = 5*v - 4*y. Suppose 0 = 2*c - 3*d - 3, 5 - 14 = -2*c - 3*d. Calculate the remainder when v is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -1. Let w(m) = 15 - 17 - 4*m + 5*m. Let v be w(4). Let g(k) = 42*k**2 + 42*k**2 - 6 - 82*k**v - k**3. Calculate -g(c) + 6*n(c).\nAnswer: c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 270 - 502. Let u = v - -248. Solve 0 = -q + 5*q + u, q + 7 = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/9 (b) -3\/23 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71972794, 71972793, 71972792, 71972791?\nAnswer: 71972790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(19) - (sqrt(19) + (sqrt(475) - sqrt(475)*1)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -17*a**3 + 21*a**2 - 9. Let z(f) be the second derivative of -f**5\/5 + 5*f**4\/12 - f**2 + 27*f. Give -2*m(j) + 9*z(j).\nAnswer: -2*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1087*w - 1086*w - 20*w**3 + 104*w**3 as g + c*w**3 + k*w**2 + f*w and give c.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 + 63. Suppose x = 4*w + w. Calculate the remainder when 26 is divided by (-12)\/9*(-42)\/w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dbea5 + -52?\nAnswer: -dbef7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r\/(((r*r**(1\/3))\/r)\/r)))**(-5\/2)*(r**(-2\/3))**42)**(11\/5) assuming r is positive.\nAnswer: r**(-1034\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2130, 4256, 6382, 8508, 10634?\nAnswer: 12760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -11 - -9 - 5\/(-1). What is the third derivative of 0*s**2 - 821*s - 29*s**2 + 821*s - 121*s**j wrt s?\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (-23 - (58 + -43))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 54*u - 409. Let j be c(8). Solve -j = -10*z + 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 612 and 909704.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 999840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29973479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 284*p**2 - 316*p**2 + 246*p**2 + (-4 + 4 - p)*(-3*p + 8*p - 3*p).\nAnswer: 212*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m**2 - 257*m - 5. Let g(l) = 6*l**2 - 255*l - 4. What is -4*g(u) + 3*y(u)?\nAnswer: 3*u**2 + 249*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*i**3*p**3 - 1233*i**3*p + 28*i*p - 462*p**3 wrt i.\nAnswer: 132*i*p**3 - 7398*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 527117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 54. Let r be (-2)\/((-2)\/k*-2). Suppose c - r = 6*c, 0 = -2*m - 2*c. Solve 2*l - m*t = -l - 20, 0 = 3*l - 2*t + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1533 times -19318\nAnswer: 29614494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10327155 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10179 and 172115.\nAnswer: 60412365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 2)\/(3\/((-36)\/(-6))). Suppose 3*d - 4 = -5*r - o, -5*r - 10 = 5*d. Solve 9*p - 7*p - 8 = r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Suppose 3*k = -2*j - 1, -j = -z*k - 6*j - 16. Let n(p) = -p**2 + 3*p - 1. Let q be n(k). Is -1\/8 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -3*k**5\/10 + 5*k**3\/2 + 4*k**2. Let h(c) = -c**2 + 1. Let y(q) = -8*q + 23. Let x be y(3). Determine x*j(s) + 15*h(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 45 - 155. Calculate the highest common factor of r and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4 (b) 5 (c) -89\/1738\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 904251 and 438?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-243)\/(-12))\/(((-198)\/624)\/(-11)). Suppose 66*k - 69*k = -b. Is 39 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - u**2 - 2*u - 2. Let s be a(-3). Let w be 4\/s - 1048\/(-44). Let c = w - 7. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5900081 + -1.59. What is n rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 12:29 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 11*s**2 - s + 2. Let p be z(-7). Suppose 3*b = 8*b - p. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*m = -33, -16 - 5 = 4*k - 3*m. Let o be (-6)\/k - (-8)\/(-21). What is the second smallest value in -0.5, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -40*b + 1013. Calculate the remainder when h(8) is divided by 229.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (128\/11)\/(-2) + 4\/(-22). Which is greater: -5 or i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/21*(-6)\/(-8). What is the smallest value in -0.3, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 97 = -0*a + 2*a, -h - 3*a = -72. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 0. Let j = -11 + m. What is the nearest to -1 in -2\/5, j, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*h - 41975 - 41978 + 83953.\nAnswer: -187*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/7 of a week in hours?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 19*j**2 + j. Let x be z(1). Suppose 18 = -3*h - 3*a, -2*h + 5*h + 5*a + x = 0. Let d(b) = b**3 + 4*b**2 - 5*b + 7. What is the units digit of d(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 + 0*y**4 - 2*y**3 + 0*y**3 + 2*y**2 - 6*y**4 as u*y**3 + q*y**2 + k*y**4 + c*y + l and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*w - 4*f, 0 = -8*w + 12*w - 3*f + 12. Suppose 59 = 2*y + 9. Suppose -12*r + 17*r - y = w. Calculate the remainder when 8 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*p + 36*p - 74*p + 2.\nAnswer: -103*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2512\/(-89804))\/(4\/132).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 + (-17 - -11))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4072 = -975*k + 4703 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 13 + 1 - 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 10:29 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.99 + 8.31. Suppose 104*s + 3 = 4*v + 101*s, 2*s - 6 = 0. What is the third biggest value in -2\/25, g, v?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -7) + (4 + -3 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 47*y + 3042. Is 20 a factor of f(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*i - 36*i**2 - 16*i - 323*i**2 + (-i - i + 0*i)*(-2*i + 5*i - 4*i).\nAnswer: -357*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 bigger than 4\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (88\/40)\/(1221\/1110). What is c in -25*c**3 - 80*c - 5\/2*c**4 - 145\/2*c**a - 30 = 0?\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 99*h**2 - 378*h - 187. Let w be v(95). Solve 2*x + 4*q = 10, -7 = -w*x - 14*q + 10*q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13737498 is divided by 858588?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 12:57 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmizkimkizkcvii. What is prob of sequence mkm?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*2*sqrt(65) + 6*-1*sqrt(65))\/((sqrt(5)*-1 - sqrt(5))*6*-3) + 0.\nAnswer: 8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/4)*p**(2\/9)*p\/(p**17\/p)*p**17 assuming p is positive.\nAnswer: p**(107\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77175832 - -77175913.999947. Let g = -82 + o. What is g rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-3861)*-6*45\/60\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l - 6*l + 2*l + l + l + 49. Determine x(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 129155.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 4*q**2 - q + 3. Let n = 119 + -116. What is the remainder when (-87 - n)*(-3 - (-3 - -1)) is divided by s(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 + 90. Suppose -5*t - a = -15*t. Are -13 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 7. Suppose -x*o = -2*o - 4. Sort 3, 4, o in descending order.\nAnswer: 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 138*u + 820. Determine i(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 12*d - 5*d = 14*m + 127, 0 = 6*m + 3*d + 13 + 38 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = 19*q - 215. Find the second derivative of 5*g**4 + 59*g - q*g + 29*g**2 - 3*g**4 + 12*g**2 wrt g.\nAnswer: 24*g**2 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*c**2 + 8 - 8)*(-632*c + 1893*c - 64 - 628*c - 631*c) in the form x*c**3 + z*c**2 + v + j*c and give z.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 minus -11352157?\nAnswer: 11352156.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2332 is divided by 1187.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*v**2 - v**4 + 16 - 14 + 12*v**2 + 4*v - 2*v**3 as m*v**3 + b*v + d*v**2 + g*v**4 + h and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63466918 and 8.\nAnswer: 253867672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5038668.\nAnswer: 2, 3, 67, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2690 - 2059. What is the remainder when c is divided by 190?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*8\/(-66). Let p = -4 - -6. What is the third smallest value in h, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 130, 302, 532, 814, 1142?\nAnswer: 1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 19. Let b be (-9*2)\/(0 - 2). Let g be y(b). Let s(w) = w + 8. Is s(g) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-4 - -2)\/(4 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (-13 - -7 - (0 - 14)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 9 = 0, 30*c - 4*c = 8*c + 13*c + 3*l - 149 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4226 divided by -56.\nAnswer: -2113\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29663 is divided by 3707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)\/(1*sqrt(288))*2)\/(-6*(-3*sqrt(16)*2)\/sqrt(4)))**2.\nAnswer: 13\/46656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -337*m - 241 wrt m.\nAnswer: -337","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4264 (b) -2 (c) -1 (d) 3 (e) 364\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2)\/b)\/b*b)**13)**(-47) assuming b is positive.\nAnswer: b**1833","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -380, -592?\nAnswer: -804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5467 or -5464?\nAnswer: -5464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 42*p + 122. Let b be k(-9). Let n(z) = z**2 + 2*z - 1. Let m be n(-2). What is the tens digit of 12\/9 + m - b\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*l - 289 = -322*l - 1251 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 + -2. Let x be (-13)\/52 - (-21538)\/104. Let k = -207 + x. What is the closest to -1 in k, t, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-14 + 19436)\/(-26))\/(-3). Which is greater: i or -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5268860 to the nearest integer?\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6662380 divided by 18610\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -31*h**8\/1680 + h**6\/72 - 31*h**3\/3 - 3. Let g(o) be the third derivative of c(o). Find the third derivative of g(y) wrt y.\nAnswer: -744*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368662 = -3*j - 3537338. What is j rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26932 divided by 910\nAnswer: 13466\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3657 + -3655. Which is the fourth biggest value? (a) -4 (b) -1 (c) 1 (d) j (e) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(0 - (-4 + 0)). Let o = n - 4. What is the units digit of (1 + o)\/((-3)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 4:22 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 4*x**2 + 3*x - 5. Let a be z(-5). Suppose -2*q + 11 = a. Suppose -45 = -q*u + 63. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 42 = -38. Let q = -3 + l. Let h(r) = -6 - 8*r + 3 - 2*r - 2 + r. Let v(d) = 26*d + 14. Calculate q*h(k) + 6*v(k).\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z. Let v(y) = -219*y + 71. Give d(v(t)).\nAnswer: 438*t - 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 1170.882805384?\nAnswer: -1170.682805384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -294, -436, -574, -708, -838, -964?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*x = -0*v + 20, 0 = 5*x. Suppose -v*r = -0*r - 68. Let p = 83 - 73. Calculate the remainder when r is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 305154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v*v**29)\/v*v)\/v*v))\/v*v*v**(-10\/9)*v assuming v is positive.\nAnswer: v**(-262\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 - 84*h + 3. Let v be u(-21). Put v, -0.3, 6, -4 in increasing order.\nAnswer: -4, -0.3, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjff when four letters picked without replacement from {f: 7, s: 3, j: 2}?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -899*t + 670. Is 65 a factor of y(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-124)\/(-40) - (-16)\/(-160). Solve b + 4*r = 5*b - 12, x*b + r - 17 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 16.457.\nAnswer: -3.2914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 152981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 67236 divided by -39\nAnswer: -1724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -5. What is the third smallest value in 2, -2\/3, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4343 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wefhevfevewheeeeeyeh. Give prob of picking 1 y and 2 e.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u + 4*u + 0*u. Let n(d) = d**3 - 4*d**2 - 5*d + 6. Let k be n(5). Let t(a) = -4*a + 14 - 8 - k. Calculate t(y(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 10018.6 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 - -5*6\/(-105). Let q(b) = b**3 - b**2 + b + 900. Let z be q(m). Let r = -227 + z. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -42. Let k(c) = c**3 - 6*c - 4. Let u be k(p). Find the second derivative of j - 7*j**2 + j - u*j + j wrt j.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31131320 (base 5) in base 16?\nAnswer: -3e4ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -47*z**2 + 1275*z + 33. Give m(27).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -16 - 3*y - 17 - 4*y. Let i(m) = -96*m + 3. Let x(b) = -1150*b + 36. Let t(w) = -12*i(w) + x(w). What is t(u(r))?\nAnswer: -14*r - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 29*u**2 - 62*u.\nAnswer: u*(u - 31)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-26))\/(((-1102)\/(-38))\/(-58)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**4\/12 + k**3\/2 - 3*k**2\/2 + 364*k. Give a(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -20*r - 13. Let t be g(-1). Let d(b) be the second derivative of 0 + 0*b**6 - 9\/20*b**5 - b + 0*b**3 + 1\/14*b**t + 0*b**2 + 1\/2*b**4. Factor d(p).\nAnswer: 3*p**2*(p - 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 130947 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 - 15*l**3 - 74.\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18405934 + 9202966 + 7*s + 9202968.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 33.8. What is l rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -135 + 158*k + 153 + 553 - 311*k + 152*k in the form w + y*k and give w.\nAnswer: 571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-264)\/(-165))\/((-7)\/((-63)\/(-72)))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(-7) + (-4)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5210212921 - 67286.\nAnswer: -67286.5210212921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14112 and -1305.6?\nAnswer: 18424627.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**4\/8 + a**3\/3 - a**2 + 16*a. What is n(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 24) + (-46525)\/(-1550) + -2.\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98\/17 or 7?\nAnswer: 98\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/1*(-4)\/(-12). Suppose -p + 6*p - 26 = 2*w, 5*p - a*w = 20. Suppose -54 = -3*u + 3*v, -3*u + 4*u - p = 4*v. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 110.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -1 - (-2 + 3). Let g be (z\/3)\/((-20)\/30). Find the second derivative of -3*t**2 + 1 + 0 - g + 2*t wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 + 7*l**2 + 95*l + 492. Give n(-6).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -1\/3 (b) 2\/7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 177*d**4 + d**2 - 371.\nAnswer: 708*d**3 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 215 + -205. Suppose -x*k + 10357 = 1837. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/11 + 1370*k**2\/11 + 21266*k - 235298\/11 = 0. What is k?\nAnswer: -343, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4 + (-35)\/(-10)). Suppose 4*k - 95 - 45 = 4*l, -66 = -q*k + l. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27.6854749 from 0.6.\nAnswer: -27.0854749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -34 (c) -2\/5 (d) 5 (e) 22\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 16*k + 80 = 0. Calculate the smallest common multiple of k and 50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.617 + -0.617. What is the nearest to -1 in -2\/17, -11, j, -0.1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -140 + 139. Let g = 287 - f. Does 36 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azuuuuqaez. What is prob of sequence aeua?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*w = 4*a - 83*w + 543, -4*a - w - 11 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 995734471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 8*z - 6. Give p(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/4)\/((-70)\/240)*35. Let i = 329 - d. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in -1514, -3, 2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 39*x**2. Let a(q) = -78*q**2. Give -4*a(l) - 9*s(l).\nAnswer: -39*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/6 and 47\/81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 8 - 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2452, 9808, 22058, 39208, 61264, 88232, 120118?\n\"Answer: x**3 + 2441*x**2 + 26*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 34\/5 + (-9)\/(-45). Differentiate 5 - 1 + u + 22*i - 6 with respect to i.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 5. Let t = -21 + 19. Let p be v(t). Solve -p*s = -3*s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 + 659955496*o\/9 - 54442657087575752\/9.\nAnswer: -2*(o - 164988874)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -2\/5, 0.3, 0.5, -6, 109?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (23 - 1128\/48)*(-2 - 364) and 153?\nAnswer: 9333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 35126867\nAnswer: 3\/35126867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/(-69)*-4*(-12)\/80)\/(8\/(-1420))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -20*y**3 - 17*y**2 + 28*y - 20. Let m(j) = 17763*j**2 - 17769*j**2 - 7 - 71*j - 7*j**3 + 80*j. Calculate -6*g(o) + 17*m(o).\nAnswer: o**3 - 15*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 31*n**2 - 23*n - 163. Determine b(-12).\nAnswer: 4577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.18 and -2.\nAnswer: 2.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -31 + x**3 - 9*x**2 - 22*x - 31 + 23*x**2 + 9*x. Let b be c(-11). Let o = -254 + b. What are the prime factors of o?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 33\/(1 + -4) - (7 - (5 + 2)). Let h(c) = 2*c + 55. Calculate h(m).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-7\/2))**(1\/8) assuming r is positive.\nAnswer: r**(-5\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 + 8*q**2 - 15*q - 24. Let h be a(-5). Sort 8, 0.22, h.\nAnswer: 0.22, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 2 = 3*x, 2 = 2*x - 1641545*v + 1641547*v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/6))\/j*j**(2\/3)*(j\/(j\/(((j**3*j*j)\/j)\/j*j)))\/j**(-4\/5) assuming j is positive.\nAnswer: j**(53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017898 to 5 dps.\nAnswer: -0.00179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807 >= 7807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -188.09 + 193. Let l = -0.09 - g. What is the biggest value in 3, 0.4, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -203135 + -4?\nAnswer: -203141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 2*b - 2*b + 2*b - 5*b + b + (3*b - 2*b - 3*b)*(-1 - 2 + 5) + 53*b + 62*b - 2*b + (0 + 1 + 1)*(0*b + b - 3*b).\nAnswer: 102*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(99)*4*-2.\nAnswer: -24*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - b**2 + 1. Let i(l) = -52*l**3 - 6*l**2 + 6. Calculate -i(s) + 6*o(s).\nAnswer: 46*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 3*b - 6. Let u be o(5). Let p be 49\/1 - (6 - u). What are the prime factors of p + -2 + (0 - -2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79244 divided by 4.\nAnswer: -19811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.29 and 160?\nAnswer: 1166.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -213, -214, -215, -216?\n\"Answer: -s - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.7 - 3.6. Which is the nearest to -1? (a) w (b) -13 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + (34 - (52 + -10) - -9)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 6, -2\/21 in ascending order.\nAnswer: -4, -2\/21, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -33. Let t = -7.999996 + j. What is t rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k - 100 = -101 - 249 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3804 divided by 12.\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -151\/5 + 144\/5. Suppose -2*n + 7 = -1. Suppose -n*c + 10 = 18. Is c <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssemzsseeqebebq. What is prob of picking 2 b?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**2 - 2*f**3 + f**4 - 33*f + 399 - 805 + 409 as g + d*f**3 + o*f + n*f**2 + j*f**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 198 divided by -48\nAnswer: -33\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7435.5 - -7436. Sort 1, z, -45, -5 in descending order.\nAnswer: 1, z, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 10. Let p(h) = 1. Let z(j) = -11*j - 12. Let v(n) = k*z(n) + 4*p(n). What is the derivative of v(b) wrt b?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 15*m**3 - m**2 - m - 7. Let k(a) = -a**3 - 1. Let o(s) = 6*k(s) - w(s). Calculate the lowest common multiple of o(-1) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7267143 millennia in months?\nAnswer: 8720.5716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -668, -5284, -17810, -42200, -82408, -142388?\nAnswer: -226094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/30 + -3\/10. Suppose 3*l = p + 10, 4*p + 1 = -3*l + 6. Suppose -u - 6 = -l. Which is the second biggest value? (a) v (b) u (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15, -23, -33, -45?\n\"Answer: -q**2 - 5*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 12*f - 5. Suppose 427 = 56*j - 615 - 694. Calculate the remainder when t(9) is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -23375*a + 1706350. Give m(73).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4894652*z + 4894493*z + 5088 = 0 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46392 and 20808?\nAnswer: 40221864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 49 = -0*o + 5*w, -2 = -o + 2*w. Suppose -4*b + o*b - 168 = 0. What is the greatest common divisor of 14 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 2*h**2 - 3*h - 2. Give b(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 8*y - 15. Let f be (2\/3)\/((-20)\/300). Let b be r(f). What is the greatest common divisor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**4 + 2*o**2 - 2*o**2)*(-5*o + o - o) - o**3 + 2 + o**3 - 3*o**5.\nAnswer: -18*o**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txxx when four letters picked without replacement from xtttxttxtxxtxx?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 = -2. Let f = -4 + o. Let g(l) = -l**2 + 2*l**f + l**2. Let p(t) = -2*t**2. Give g(p(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + b + 836, -3*b = 4*z - 6*b - 3348. List the prime factors of z.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 42 = -0. Let q(m) = m**3 + 7*m**2 + 5*m. Calculate q(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/14 - (-1)\/1. Let b = 1.18 - -0.32. Let g = -1.4 + b. What is the nearest to g in 0.2, n, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -14. Is v*(-37)\/(-2) + -2 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1657620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28758566?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 4*x + 9 + 1, -2*x = 2*u + 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 30*c**2 - 28*c + 29. Let b(j) = -9*j**2 + 9*j - 13. Let u be b(2). Let s be f(u). Which is greater: s or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95599 - 91489 = 8*u. What is the tens digit of u\/(-110) + (-2)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 8:41 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37697201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 18, -2, -3\/2, 1, -0.04?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 + 24600*x**2 - 50430000*x + 34460500000 = 0. Calculate x.\nAnswer: 2050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 j when three letters picked without replacement from jzzmrrrjjjomjzmjrzj.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61144342\/183 - -334121. Let w = u - -1\/244. What is the common denominator of w and 9\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3600.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14014*r - 3956 wrt r.\nAnswer: -14014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41542564, 41542565, 41542568, 41542573, 41542580, 41542589, 41542600?\nAnswer: 41542613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 780 = 17*x + 48*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.49 + 2.89. Which is the closest to -0.2? (a) 0.5 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 + -0.5. Let q = 1953.9 - 1954. Put a, 0.3, q in decreasing order.\nAnswer: 0.3, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -3*r - 475. Suppose -4*s + r - 27 = 0. Solve 4*p = -5*l - 30, 4*p - p + s = -l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*o - 3*v + 4, o - 4*v = 2. Suppose o*g - g + 3*p = 3, -5*g - 5*p = -35. Let l be 2\/5 - 133\/(-5). Calculate the greatest common divisor of l and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -8. Let r = 15 + m. Factor -16*k - 6*k**3 + 5*k**5 - 5*k - 24*k**2 - 6 + 6*k**4 - r*k**5.\nAnswer: 3*(k - 2)*(k + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62580 rounded to the nearest 1000?\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -133 + 136. Let c(y) = -y**2 - 2*y + 2. Calculate c(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(-s - s + 3*s + (-4 + 3 - 1)*(0*s + s + s) + 2*s + 0*s + 0*s - s + 0*s + 3*s - 91*s - 16*s + 245*s) to d*s + b and give d.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**2*y)\/(y*y\/y**(-1\/4)*y))\/(y**(-3\/2)\/((y\/(y*y*y**(-2\/11)*y))\/y)) assuming y is positive.\nAnswer: y**(-201\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2251*p + 3 - 102*p**4 + 104*p**4 + 2063*p - p**2 to the form t*p**4 + s + j*p + u*p**3 + l*p**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (290*m - 128*m + 513*m)*(3*m**3 - 11*m**3 - 2*m**3).\nAnswer: -6750*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 301\/(-21) - 1\/(6\/4). Let z be ((-6)\/(-18))\/((-1)\/s). Solve -25 = z*g - 0*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/13 + 83\/117. What is the second biggest value in -5, -3, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7768223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + -2 + -8 + (-7 - (-5 + -9)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/20 (b) 0.1 (c) 0.0246939\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 3:36 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*w + 126 = 0, 3*n - n + 98 = 2*w. Let z = -37 - n. Let y be (-24)\/84 - (-60)\/14. Solve 0 = y*s - 4 + z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 4)*(4 - 4 - 4)*(4*x - 4*x - 4*x)*(41 - 41 - 2*x)*(4 + 2*x - 4) to the form l*x + q*x**2 + s*x**3 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**5\/35 + 13*u**4\/42 - 22*u**3\/21 + 8*u**2\/7 + 2*u - 70. Solve r(v) = 0.\nAnswer: 1\/2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 153 and 1872.\nAnswer: 31824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43202036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: 2 - 11 - (225 - 215)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, g: 4, b: 2, p: 3}. Give prob of sequence hghb.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -55? (a) -1 (b) 0.4 (c) -2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 less than 0.9417?\nAnswer: -513.0583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10003233221 - -11?\nAnswer: 10003233232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -311909, -311904, -311873, -311804, -311685, -311504, -311249?\n\"Answer: 2*q**3 + q**2 - 12*q - 311900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3\/7 - 72*x**2\/7 - 384*x\/7 = 0. What is x?\nAnswer: -16, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24290, 24086, 23532, 22454, 20678?\nAnswer: 18030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3195\/(-7668) + (-326)\/24.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 8, -0.068, -0.2, -475, 11\/2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558 divided by -2?\nAnswer: -779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -469, -1\/4953?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**2 + 2*u + 1. Let l = 9 + -10. What are the prime factors of i(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -521 - -563. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56211370*u**2 - 56211370*u**2 - 301*u**3.\nAnswer: -301*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -5. Suppose 0 = -a - 2*a + c. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -15. Suppose 3*a - 3 - 2 = -l, 5*a + 1 = 3*l. Sort j, -3, l in ascending order.\nAnswer: -3, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267 = 52*c - 329 + 960 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/1060633 or -1?\nAnswer: -3\/1060633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -v - 267, v - 2*v - 242 = 2*n. Let g = -252 - v. Solve -5*c - 2*z + 20 = g, 0*z + 3*z = c + 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/5))**(1\/72)*k**14\/k**(2\/61) assuming k is positive.\nAnswer: k**(76741\/5490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3850 and 440?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsrrkky. What is prob of picking 1 s, 1 k, and 1 r?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qthpptqtpttttqqtpq. What is prob of sequence hqp?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2)*(-152)\/(-19). Suppose -i = 4*f - 12. Suppose -l - 20 = -f*l + 4*z, -5*z = -5*l + 40. Is l at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 5:27 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 3, h: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*y + 1248, 3*y + 3413 = 5*i + 291. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -184*h**2 - 397*h - 5. Let z(x) = 67*x**2 + 132*x + 2. Give 4*m(g) + 11*z(g).\nAnswer: g**2 - 136*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 492.\nAnswer: 49.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.012 + -0.988. Which is the nearest to -15? (a) 5 (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0269 + -161.3731. Is o less than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -283 + 0*l - 6*l + 92 + 96 + 89. Calculate s(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 60927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 9. Let r = -3 - i. Let s(d) = d**3 + 5*d**2 - 6*d - 5. Let t be s(r). Put 5, -2, t in increasing order.\nAnswer: t, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -3*t + 2*g, 26*t = 30*t + 4*g - 8 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 315303 or 313432?\nAnswer: 315303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2973141037?\nAnswer: 61, 4793, 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*l - 5. Find w, given that 3*w**3 - 2*w**3 + w + l*w**3 - 3*w**3 + 2*w**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.001 - -3982710593464\nAnswer: 3982710593464.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 2?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 89 = 144 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (1 - -42) + 229 + -227.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -19*g**6\/30 - 23*g**4\/12 + 32*g**3\/3 + 2*g**2 - 1387*g. Find the second derivative of z(w) wrt w.\nAnswer: -228*w**2 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87938*g**3*w**2 - 5*g**3*w*z - 24*g**2 + 47*g + 25*w**2*z + 70*z wrt g.\nAnswer: 527628*w**2 - 30*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3400201 and 4270.\nAnswer: 34002010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 549, 548, 547, 546, 545, 544?\n\"Answer: -u + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 37*p**2 + 38*p - 2894. Calculate k(38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-12))\/((-6)\/(-90)). Suppose s = -x + 6*x. Let j(m) = -m + 2. What is j(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/994709 and 48\/5.\nAnswer: 4973545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72381, 144763, 217145, 289527, 361909, 434291?\nAnswer: 506673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l - 6*l + l**2 + 7247 + l**3 - 7366 + 2*l. Calculate i(0).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - 28. Let p = w - -91. Calculate the remainder when p is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-392))\/(8\/42). Let t = x - 1\/16. Let f be (((-2)\/3)\/2)\/1. Sort t, -3, f in descending order.\nAnswer: t, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 10*n**2 - 3*n + 4. Let a be f(8). Let c = -62 + a. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 5. Let r be l(2). Suppose r = t - 2*w, -5*w - 4 = -2*t - 0*w. Calculate the least common multiple of t and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.173 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, 17, -7, -75, -193, -367, -603, -907?\n\"Answer: -x**3 - 13*x**2 + 60*x - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095970609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -4263 - -42629\/10. Let b = 0.1 + 0.1. What is the second smallest value in b, 6, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 5*y**2 - 9*y - 15. Let h be n(-6). Suppose -28*w + 24*w = 0. Suppose w = -h*a + 14 - 11. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/6)\/((-3)\/666). Let w = b - 53. Suppose -49 = -5*d + w. Calculate the remainder when 27 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335.33 times -0.1?\nAnswer: -33.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 3*m**2 + 232*m - 39. Determine k(14).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 202 and 9026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-6)\/(-4)*(-70)\/(-45)*108\/(-6678))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**4\/12 + r**3\/3 - 6*r**2 - 19*r. Let l(v) = -5*v + 7. Suppose 2*h - 22 = -2*z - 0*h, 5*z - 4*h = 28. Give z*x(i) - 3*l(i).\nAnswer: -i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -24776 minus -61.768?\nAnswer: -24714.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -195 - -584. Let a = o - 389.257. Round a to 2 dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5182*p**4 + 7995*p**2 wrt p?\nAnswer: 124368*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 188077\/181 at least as big as 1040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -143*f**5 + 2227*f - 2227*f + (0*f**2 + 0*f**2 + f**3)*(0 - 3*f + 0)*(5*f - 6*f - f).\nAnswer: -137*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 6*n**2 + 13*n + 28. What is the smallest common multiple of f(7) and 462?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -66 (c) -0.056 (d) -1 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 5:53 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from pqppwtwttttzaw.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15046, 15034, 15020, 15004, 14986, 14966?\nAnswer: 14944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -11*k**8\/112 + 3*k**5\/20 + 17*k**2. Find the third derivative of l(r) wrt r.\nAnswer: -1980*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10684?\nAnswer: 2, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7387382, 7387383, 7387384, 7387385, 7387386?\n\"Answer: w + 7387381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 407912, 1631628, 3671154, 6526490, 10197636, 14684592, 19987358?\nAnswer: 26105934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -a - 62 + 17, 10 = -2*a. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -243*t - 517*t + 474*t + 2*t**3 as q*t**2 + n + v*t + p*t**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abaaajbae. What is prob of picking 1 e and 1 b?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3))**(1\/18)*(g*g**2)\/(g*g\/g**(-7)) assuming g is positive.\nAnswer: g**(-323\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/h)\/h**(4\/3)*(h\/h**(-5))\/((h\/h**4)\/h) assuming h is positive.\nAnswer: h**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*m + 64*m - 175*m to b*m + u and give b.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 87, 96, 109, 126, 147?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -85 + 13 + 27 + 21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2*h)\/(((h\/(h*h**(-6\/7))*h)\/h)\/h)*h**(-3\/7)\/(h*h**(-1\/3)) assuming h is positive.\nAnswer: h**(43\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y = -7*y - 93 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 654*u. Let w(j) = j. Calculate w(x(o)).\nAnswer: 654*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -117 + 118. Let h(b) = b - 1. Let t(p) = -p**3 + 7*p**2 - 6*p - 1. Let k be t(6). Let n(w) = 9*w - 3. Let x(o) = k*n(o) + 2*h(o). Determine x(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63904 * -2.\nAnswer: -127808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*r + 3*r. Suppose 3 - 9 = -5*x - w, 3*x + 3*w = -6. Solve x*m = -r + 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - 5*2*sqrt(187))\/sqrt(11) + 0.\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -266*k - 133504. Calculate j(-502).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 1. Let u be a(4). Let f be (u\/(-2))\/(4\/8). What is the second derivative of 0*v**5 + 0*v**5 + 2*v + v**f wrt v?\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 14*v**2 - 68*v + 68. Calculate w(6).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (16686\/46350)\/(7\/((-70)\/(-36)))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*s + 45 = -392*s - 79 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 - 4*l + 6*l**2 + 2851*l**3 - 2853*l**3)*(3 - 4 + 0).\nAnswer: 2*l**3 - 2*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1601 + 1616. Solve -34*i + 37*i = 3*w - s, 5*i = -25 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (42\/20*-2)\/(474\/(-5530)). Solve -2789*t + 2796*t = k for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 - -99. Suppose -21 = 5*p - t, 0 = -3*k + 2*p + 129151. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 73*j**2 - 13*j + 370. What are the prime factors of s(11)?\nAnswer: 2, 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24623710 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {l: 2, z: 4, r: 10, e: 1, c: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 26. Let v(k) = k**3 + 17*k**2 - 19. Let r be v(-17). Let u be p(r). What is the highest common divisor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - d**2 - d. Let f(g) = 6*g**3 + 5*g**2 + 12*g + 4. Give -f(c) - 5*m(c).\nAnswer: -c**3 - 7*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106915618 to the nearest integer?\nAnswer: 10340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2. Let z(q) = -q**2. Suppose 2*d + d - 12 = 0. Let a(i) = d*z(i) + n(i). Let p(u) be the first derivative of -u**2\/2 - 2. What is p(a(s))?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.007 + -0.007. What is the closest to 0.3 in k, -3, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-33)*y**9)\/((y\/y**(9\/8))\/(y\/(y**(-3)*y))))**(-9\/7) assuming y is positive.\nAnswer: y**(1503\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4330116 to the power of 1\/2, to the nearest integer?\nAnswer: 2081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -57*j - 1. Let u(r) = -64*r - 2. Determine 4*c(b) - 3*u(b).\nAnswer: -36*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1130 is divided by 44.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - ((-6)\/4)\/(-1). Let d = -11.8 - -13. Let k = 1.6 - d. What is the biggest value in 2, m, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 + 72. Let a = x + 18. Let r be (-21)\/a - 2\/(-8). Put r, -4, 4 in descending order.\nAnswer: 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**5\/4 - 9*r**4\/2 + 41*r**3\/4 + 15*r**2 = 0.\nAnswer: -1, 0, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 367322*a*i**2 + 12*a*i - 176*a - 126 wrt i?\nAnswer: 734644*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - 4.9. Let o = 4.6 + y. Let v be 2 - 0 - 36\/16. Sort o, v, 0.3 in ascending order.\nAnswer: o, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5485057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23670 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**3 - 8*f**3 + 2*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 19980200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5066\/1731 or -4?\nAnswer: -5066\/1731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -169908 != -4938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 13. Suppose -3*w + j*w = 5. Suppose 0 = -w*f + 262 + 88. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89 - (207 + (-265 - -127))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 3*j + j)*(-5 - 3 + 4)*(j**2 - 5 + 5 - j**2 - 3*j + 3*j + (-6*j + j + 3*j)*(-2*j + j + 0*j)).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -778*x + 777*x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99015 and 455.\nAnswer: 1287195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3) + 1)*1.\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, c: 1, y: 1, x: 1, p: 1, z: 1}. Give prob of sequence zh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 32 - 53 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*q + 38, -565*w - 3*q = -567*w + 8. Solve -w = -3*l - 5*o, 17*o = -2*l + 19*o - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1963 + 8. Let f = -5489 + 87921\/16. What is the common denominator of f and (-6)\/8 + g\/(-204)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7987864.\nAnswer: 2, 757, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1345013 - 453992 = 3*i, -2*i - 297022 = a. Let h = a - -437012. Suppose -2*g = -0*g + h. Round g to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1926492 and 121\/12?\nAnswer: 1926492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002596977 rounded to five dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -693 + 3*g**2 - 2*g + 693 + 4*g**2 + g**2 - 3*g**2 + (-3 + 2 + 2)*(-2*g**2 + 5*g**2 - 2*g**2).\nAnswer: 6*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**3\/5 - 966*m**2 - 4788*m\/5 + 19312 = 0?\nAnswer: -2414, -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.2. Suppose -2*z = 2*m - 28, 4*z - 8*z = -5*m + 52. Let u be 18\/(-36)*m\/(-2). Which is the nearest to v? (a) 7 (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228104*f**2 + 3*f**3 - 228108*f**2 + 456212*f**2.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*i - 18*i + 14*i.\nAnswer: 38*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 1\/((-48)\/(-36) - 6045\/4536)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3547?\nAnswer: 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3650 - 72979\/20. Calculate the common denominator of c and (74\/(-18))\/((-4)\/(-6)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.42 * -1\nAnswer: -16.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h + 3*h = 34*h - 94 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -51500.029939?\nAnswer: -51502.029939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 25137220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 100*m + 579. Let y be g(-6). Solve -3*u = -18*z + y*z - 24, -8 = -4*u - 2*z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 + 3*l + 1. Let x(t) = 10*t**2 + 10*t + 3. Let v = 2 + 5. What is v*g(y) - 2*x(y)?\nAnswer: y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4 - 495*b**3 + 497*b**3 + 533*b**2 - 10*b**4 + (2 - b**2 - 2)*(2 - 2 + 2*b**2) to l*b**4 + o + x*b + c*b**3 + u*b**2 and give u.\nAnswer: 533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 9*s + 106. Determine t(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 12. Suppose 0 = i + 3*p - 5 - f, -4*p = -12. Suppose i = -4*y + y + 6. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (19 + -11)*((-7)\/(-168))\/((-4)\/(-36)). Solve m = j*k - 16, k + k = 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 11*h + 9. Let w(a) be the second derivative of -5*a**3\/6 - 2*a**2 - 4*a. Let y = 10 - 19. What is y*w(m) - 4*b(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/3 + 686*t + 4120\/3 = 0. What is t?\nAnswer: -2, 2060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6237.783 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 540851721 to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - (33 + -89) - 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 22392*g + 1623. Is h(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5d - -9d?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 69*d - 772. Let v be b(55). Put v, 58, 3, -3 in descending order.\nAnswer: 58, 3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 501.0844 microseconds?\nAnswer: 501084.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a = 42*a + 30 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(32)\/(sqrt(8) + sqrt(16)\/sqrt(2))))\/(sqrt(6)\/sqrt(3)*1 + (sqrt(8)*2)\/sqrt(4)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22588630 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: In base 16, what is -11b - -f8?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1816 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**4\/5 - 42*a**3\/5 - 336*a**2\/5 - 96*a = 0.\nAnswer: -4, -2, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1172 - 190 - 2676)*((4 - 3 - 2)*(-j + 4*j - 2*j) - j - 4*j + 4*j + 2*j - 2*j - j - 3*j - j + 3*j).\nAnswer: 16152*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1452)\/(-28))\/(-11) - 2\/7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 336422009 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(108) - sqrt(12))\/(sqrt(36)*5) + sqrt(21)\/(2*sqrt(7)*-1)*-5)**2.\nAnswer: 4489\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 12*h - 4*s, 5*h + s - 12 = 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + (sqrt(180) + sqrt(180) + (-2*sqrt(180) - sqrt(180))*6 - sqrt(180)))\/(-1*sqrt(324)) + 6*(sqrt(20) + 1)*-3 + 4.\nAnswer: -92*sqrt(5)\/3 - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 + 672 = -116*v + 487*v. Let r(y) = 4*y**2 - 7*y - 2. Let o(t) = 3*t**2 - 7*t - 2. Calculate v*o(p) - 2*r(p).\nAnswer: p**2 - 7*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**2 + 55*r + 1. Let p(v) = v - 4. Let y be p(-7). Let f be m(y). Solve 4*t = -5*l - 12, -5*l - 21 + f = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 76\/57 + (-222)\/(-9). Let s be -5 + 15 + 1*-2. Suppose i - 2*u - 22 = s, u = i - g. Calculate the lowest common multiple of 22 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**4\/12 - 10*f**2. Let b(g) = 9*g. Determine r(b(k)).\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19422 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**5\/3 - 103*x**4\/3 - 566*x**3\/3 - 1028*x**2\/3 - 130*x + 57 = 0.\nAnswer: -19, -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 7*g. Suppose -3*v + g*h + 5*h + 56 = 0, 2*h = -4*v + 118. Suppose -m = 6 - v. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8 = 2*x, -2*p + 0 = -10. Suppose 3*q + t - 143 = 0, 0 = -4*t - 2 + 10. Suppose y - q + 45 = 0. Solve -2*j = -y - x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -385181 plus -930?\nAnswer: -386111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4113*p - 872*p + 8466*p + 3492*p.\nAnswer: 15199*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46.42 + 0.28. Let h = i + -47. Which is the third biggest value? (a) 2 (b) 0.5 (c) -82 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -194*m**3 + 53 wrt m.\nAnswer: -582*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-414)\/(-234))\/((-116)\/(-1508))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 37, 0, 3, 4, 5 in descending order.\nAnswer: 37, 5, 4, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -233396 (base 10) to base 11\nAnswer: -14a399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -296*h - 124394 + 479298. What is the remainder when h is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53442 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -176428 - 0?\nAnswer: -176428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16454381\/2250497301 - -2\/498891. Let k = 458693\/811980 + y. What is the common denominator of -65\/4 and k?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) 2 (c) -2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/26 and -109\/64714.\nAnswer: 64714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002395793 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 346, 337, 324, 307, 286, 261, 232?\n\"Answer: -2*p**2 - 3*p + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - -26) + (0 - -11) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -3*t**2\/2 - t + 4. Let c be v(1). Let b = 8 - c. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 = y + 209 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 238211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -149850, -299702, -449554?\n\"Answer: -149852*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 257581513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -4643.5\nAnswer: -1857.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 2094447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 0*z - 1\/2*z**2 + 49\/30*z**5 - 7\/3*z**4 + 2 + 4\/3*z**3. Let c(r) be the second derivative of t(r). What is p in c(p) = 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 4\/627 (c) 47 (d) 90\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 123*b**4 + 23*b**3*t - 4*b*t + 21*b - 2 wrt b?\nAnswer: 1476*b**2 + 138*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5097, 9122, 13147, 17172, 21197, 25222?\nAnswer: 29247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9368324)\/248)\/251)\/(-7).\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-9))\/(1\/(-27)). Suppose -14*k + 68 = 3*k. Let f be 22\/k - (-9)\/v. Solve 0 = -f*g + 1 - 21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 10*y - 1. Let l be w(1). Let m = 10 - 6. Suppose 0 = m*v - 6*v + 54. Calculate the highest common divisor of l and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/1 - (17 + -15). Suppose 352 = 4*u + 3*s - 83, 5*u - 540 = -v*s. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*8\/(-1872)*81\/(-9).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -38. Let j = 0 + 2. Determine n so that -25\/4*n**5 - 35\/2*n**4 - 69\/4*n**b - 7*n**j + 0 - n = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 1:03 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2\/2 - 3844*q\/3 = 0.\nAnswer: -7688\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 10. Give r(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 185081?\nAnswer: 1110486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -40*z + 43*z + 5*w, -3*w = 2*z - 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 128591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 195*c**2 - 12*c - 6. Let u(g) = -776*g**2 + 46*g + 23. Let s(m) = 23*p(m) + 6*u(m). Let z(b) = -34*b**2. Give 2*s(o) - 11*z(o).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1764*p = -8899 - 6977 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2 - 22783*b - 45562 = 0. What is b?\nAnswer: -22781, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 - 11\/(-2). Let a(q) = -1 + 4*q + 3 - o*q. Let w be a(-4). Solve -1 = -g - w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -63.\nAnswer: -20\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(24\/5)*(c\/c**(-20\/9))\/c)**7 assuming c is positive.\nAnswer: c**(2212\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*a - 20 + 20 in the form f + w*a and give w.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-2))\/(14\/(-7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(5\/6))**47\/(w**(-3\/2)*w)**(-15) assuming w is positive.\nAnswer: w**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 920597439 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 21490 (c) -306\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24\/493 + 2\/29. What is the third biggest value in -1\/10, p, -1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 - -111. Suppose -34 = 21*p + o. Let d(g) = -g**2 - 5*g + 2. Let t be d(-5). Which is the nearest to 3? (a) t (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20\/3*g**2 + 5\/3*g**4 - 5\/3*g**3 + 20\/3*g + 0 = 0. Calculate g.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*(1 + sqrt(117))**2*-3*5.\nAnswer: 2700*sqrt(13) + 53100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2261*p = -25*i - 2260*p - 34, p = 7*i - 0*p + 34 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/26930973 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c + 45a63?\nAnswer: 45a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 33*x**2 - 114*x - 62. Give b(29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + y = -0*y - 10, -4*y - 4 = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c\/(c*c\/(c\/(c**2\/c))*c)))*c*c**(-3)*c*c**(-1)*c**0*((c*(c**(-1\/7)*c*c)\/c)\/c**(3\/7))**(-1\/52) assuming c is positive.\nAnswer: c**(-733\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - s - 226. Let t = s - 110. Let w be ((-4)\/t)\/((-1)\/(21\/14)). Put -5, -3, w in ascending order.\nAnswer: -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -1 + (-2200)\/(-40) + -53.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 + 25*m - 55. Give x(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**5\/60 + 5*s**4\/12 - 5*s**3\/2 + 384*s**2 - 1. Suppose -42 = 5*t + 5*m + 3, 5*t = -2*m - 51. What is c(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21692 and 981376?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4947*n**2 - 3545*n**2 + 2059*n**2.\nAnswer: -6433*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a**5 + 202212*a**4 + 681575760*a**3 + 545131200*a**2 = 0. What is a?\nAnswer: -6740, -4\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 578. Let r be a(0). Let y be r\/8 - (-3)\/(-12). Calculate the highest common factor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -4, 4.\nAnswer: -27, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -12, -53, -130, -255?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*j = -3678 - 414. Calculate the highest common factor of j and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 40 = v + 8, -2*v = -p + 2. Suppose -3*k = p, 0*i - 4*k = -5*i + 33. Solve -i*h = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1814\/(-4)*6\/(-3). Let f = b - 445. Calculate the highest common factor of 42 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/126 + (-115)\/690)*(-70)\/12. What is v in -d*v**4 - 4\/3*v**5 + 2\/9*v**3 + 0 + 0*v**2 + 0*v = 0?\nAnswer: -1, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2491148702?\nAnswer: 2, 7, 293, 607301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 7*p - 6. Let r be c(5). Let o(k) = -k + 6. Let h be o(r). Solve 7*v = h*v - 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, f: 3}. Give prob of sequence fff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5\/19 - 112*l**4\/19 + 678*l**3\/19 + 4248*l**2\/19 + 3456*l\/19 = 0. Calculate l.\nAnswer: -3, -1, 0, 12, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q + 23. Calculate f(10).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 555, 1144, 1733?\n\"Answer: 589*u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from fffffffffffl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 2\/17 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90 (base 14) to base 10.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 8430694.53?\nAnswer: 8430691.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1381 + -1377. Which is the closest to 2? (a) 2\/13 (b) -3\/8 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y + 0*y - 2*y)*(-684*y**2 - 6*y**2 - 649*y**2) + (-5*y + y - 4*y)*(y**2 + y**2 - y**2) as t*y**2 + b*y + p*y**3 + z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19959.78909503 + -1.70088997. Let b = y + 19962.4. Let c = b - 0.91. Round c to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o + 4 = 0, -2*l + 32 = -5*o. Suppose 20*z = 21*z - l. Let i = z + 52. What are the prime factors of i?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 0*f**2 + 2*f**2)*(223 - 277 - 124).\nAnswer: -534*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6c62b (base 13) in base 8?\nAnswer: 604175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65.0037 - -65. Round z to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 50 = 3*j. Suppose 2*z - 2*u = -4*u + 28, -z + u = -18. Let c = j + z. Solve 0 = n - 3*r + 11, -4 + c = 3*n - 2*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2 - 0. Let k be (6\/8)\/(g\/8). Let q(i) = -i**3 - 3. Let w(v) = -10 - v**3 - 1 - 3*v**3. Give k*w(f) - 22*q(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4108.148l?\nAnswer: 4108148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 10 + 2)*((z + 0 + 0)*(5 - 1 - 3) + 4*z + 4*z + 0*z).\nAnswer: 99*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuw when three letters picked without replacement from {s: 1, u: 1, c: 2, w: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -440\/50447 + 93490802\/41921457. Let n = w + 2\/2493. Calculate the common denominator of (9\/(-60))\/(6\/125) and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*r - 6, 4*r - 9*r + 10 = 0. Suppose s*d - 1976 = -5*d. What are the prime factors of d?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1793822602?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5817135 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2717 divided by 247\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/5, -3\/16, -43, 3\/8, -1?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*i**3 + 133*i**2.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -3525267.\nAnswer: 1\/3525267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*12\/(-72))\/((-55)\/70)?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 13*x + 4. Let y be o(6). What is the remainder when (-483)\/(-24) + y\/16 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 1 + 2)*(o**4 - 1 + 1) + o**4 - 3*o**4 + 3*o**4 + (5*o**3 - 3*o**3 - 4*o**3)*(-2*o + 3*o + o) as k*o**4 + s*o**2 + q*o + j*o**3 + z and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3859835*d*h - 671676*d wrt h?\nAnswer: -3859835*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*g + 15*g + 6*g - 6*g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (-2 + 9 + 14 + -57)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 75*s + 17 - 13*s**2 + s**2 - 76*s. Let i be q(12). What is the second derivative of l - 4*l + 11*l**3 + 7*l + i*l wrt l?\nAnswer: 66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -188 and -107.\nAnswer: 20116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 69161, 89294, 109437, 129596, 149777, 169986, 190229?\n\"Answer: l**3 - l**2 + 20129*l + 49032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 4:10 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -180547 (base 14) to base 6\nAnswer: -30045323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 32168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1*((-805)\/(-23))\/(-9065)*(-14)\/8?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2407 and 56606?\nAnswer: 1641574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 2, -202, 0.5?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 5*h - 8, 5*s = 3*h + 7 + 3. Suppose -s*z + 2*t + 7 + 1 = 0, -4*t - 10 = -2*z. Factor -4*m**2 + z*m - 2*m + m + 0*m + 2*m**3.\nAnswer: 2*m*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.13 (b) 1.5 (c) -2\/87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1660.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -324, 489, 3628, 10305, 21732, 39121?\nAnswer: 63684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1023448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from {i: 1, f: 2, g: 1, e: 1, a: 2, d: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 68*p - 44. Suppose -10 = -3*q - 1. Calculate the remainder when y(q) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a6784 (base 12) to base 11\nAnswer: 5aa2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7*s*(s*s**(-4\/7))\/s*s)\/(s**(3\/4)*s*s**(1\/5)\/s) assuming s is positive.\nAnswer: s**(1047\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -9*w**2 - 268*w + 46. Give x(-30).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000100110001001101 + 101100101?\nAnswer: 100000100110110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 7. Let r be a(-11). Suppose -3*h - 12 = 0, -2*g - g + r = -h. Which is greater: -2\/301 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*z + z. Let s(i) = -i**3 + 19*i**2 - 86*i + 28. Let t be s(12). Solve 2*p + 17 = t*o - 9, z = -p + o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -651982\/5 less than or equal to -130395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 10 (c) 9 (d) -365\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -1655*g**3 + 5*g**2 - 6*g - 1. Let l(j) = -3309*j**3 + 11*j**2 - 13*j - 3. Let f(v) = -7*h(v) + 3*l(v). Is f(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r + 0*r - 3*r + (4 - 3 - 2*r + 0*r)*(1 - 2 - 1).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 11*w - 6*w. Let l be (-1)\/((-2)\/1)*-4. Sort l, w, 3 in decreasing order.\nAnswer: 3, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7640654mm to meters.\nAnswer: 0.0007640654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 6*x - 4. Let b be g(-6). Let w = -10 + b. Calculate the lowest common multiple of w and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b - -463?\nAnswer: 49e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1397 + 2798 - 1401 + 1177*j to p*j + q and give p.\nAnswer: 1177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*73.5742.\nAnswer: -220.7226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -138, -0.5, 1\/15, 0, 0.4 in descending order.\nAnswer: 0.5, 0.4, 1\/15, 0, -0.5, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*y**2 + 225*y\/2 - 5.\nAnswer: -5*(y - 2)*(22*y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 4*k**2 - 2. Let m be x(3). Let y = m - -250. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 735701796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 854, 855, 856, 857, 858, 859?\n\"Answer: a + 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -151 times -0.1209\nAnswer: 18.2559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p = -21*p + 17*p + 629. Solve p*z = -11*z + 56 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(1 - 3) + -4. Let x = 2 - 1. Is -11*x*(r + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5913 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16025.2 and 301.\nAnswer: 4823585.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120278896?\nAnswer: 2, 7517431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 286 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31103, -31105, -31107, -31109?\nAnswer: -31111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.086 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 7*u**6\/120 + 2*u**3\/3 + 5*u**2. Differentiate c(a) wrt a.\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 11*o**2 + 742*o + 5184. Give r(-7).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -1)\/(78\/(-39)). Let b(c) be the second derivative of 1\/30*c**6 - 17*c + h*c**2 + 0*c**5 + 0 - 1\/12*c**4 + 0*c**3. Factor b(j).\nAnswer: j**2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33544485 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -18, -33, -50?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*-1 + -3 + 81. Let c = u + 78. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*f - 377 = 3*y, -99 = y - 5*f. Let c be (-117)\/(-247)*y\/(-6). Let p = -3397\/380 + c. Find the common denominator of -89\/12 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5 - 2310*t**4 - 1736161*t**3 - 424982748*t**2 - 4093723648*t - 3670474752 = 0. What is t?\nAnswer: -896, -508, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8571 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k**2. Let s(u) = 29*u**2. Give w(s(z)).\nAnswer: 5046*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 452047763?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 40648.\nAnswer: -40643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 213 + -211. Solve -3 = p*a + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 963264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(17) + sqrt(425))*-2)*5.\nAnswer: -55*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-646)\/(-6) - 1\/(-3). Suppose v - 3 = 5*y. Solve -5*r - 2*w - 4 = -y, 4 = -w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -11. Let v be 6\/(-10)*(-8 - (-310)\/45). Which is the closest to v? (a) k (b) -1\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003533491 to five decimal places.\nAnswer: 0.00353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwlymkkimkklklm. What is prob of sequence mm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) -1\/22160 (c) 0.6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3949 is divided by 3514?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000160704 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20614 is divided by 9398.\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/11 + (-137)\/(-1507). Which is smaller: 28\/127 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1455 = 76*k + 175 - 34 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.92907ml?\nAnswer: 0.00092907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 k, 1 x, and 1 c when four letters picked without replacement from {k: 6, g: 1, n: 1, q: 1, x: 1, c: 3}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -89950 + 7789?\nAnswer: -82161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.57 - -23.61. Which is the closest to y? (a) 6 (b) 0.02 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 383 - -203. Is v a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/1*4\/(-8). Let o(m) = -m + 7. Let j be o(5). Let n be -5 + j + (-6)\/3. Put n, -4, x in descending order.\nAnswer: x, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3746448 and 48816?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49841.\nAnswer: 11, 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.09 - 1.41. Let r = 12.500000101 + o. Round r to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.3 - -6. Let f = 344 - 342. What is the second smallest value in -2, q, -3\/2, f?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 225 - 636. Does 46 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -485*k + 2*k**2 + 2 + 491*k + 6. Let g be s(-4). Calculate the highest common factor of 176 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s - 357 = 3*s. Is -20 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 26*f**2 + 7*f + 180. Determine k(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2 - -2)*-2. Suppose s - 3*t - 51 = 0, 15*t + 46 = 16. Sort -5, 5, s, b.\nAnswer: -5, b, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -11*r**2 + 6*r - 11*r**2 + 23*r**2 + 3. Let c be h(-4). List the prime factors of c + 6 - (-52)\/1.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/1026)\/((-2)\/9).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 3*u**2 - u. Let z be v(-3). Is ((-1396 - z)*1)\/(1*-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 15*c**2 - 1 + 4 + 34440*c.\nAnswer: 15*c**2 + 34440*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3873 divided by -943?\nAnswer: -3873\/943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102028, -204058, -306088, -408118, -510148?\nAnswer: -612178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6411 times 1?\nAnswer: 6411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*h + 14, -3*h - a = 2*a - 3. Let k(o) = o**3 - 3*o**2 + 3*o - 2. Let j be k(h). Suppose j*x + 15 = 5*x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2533592, 5067206, 7600820, 10134434, 12668048, 15201662?\nAnswer: 17735276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -87983.4 to the nearest 100.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/10)\/((-22)\/10). Let o(c) be the second derivative of c**5\/20 + c**4\/4 - 5*c**3\/6 - 2*c**2 + c. Let i be o(-4). Which is bigger: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -57. Let h(b) = b**2 + 4*b - 8. Suppose 3*i - 4*i = 6. Let r be h(i). Solve -3*w + 4*k + 3 = 0, r*w + 1 - f = -4*k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -89, 2, 4\/51, -0.5?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 - 3*z**2 - 2*z**2 + (-z + 5 - 5)*(3*z - 2*z + 3*z) - 2*z**2 - z + z.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 80 - (9 + -12)*3.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + (-32)\/40)*(-317)\/(-307). Let o = -2\/307 + v. Factor -3\/5 + z - 1\/5*z**2 - o*z**3.\nAnswer: -(z - 1)**2*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/125)\/((-4)\/15)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*w - 35 = 4*m, m = -5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + sqrt(304)*-2 + sqrt(304) + (-2*sqrt(304))**2*5)*-4.\nAnswer: -48*sqrt(19) + 72912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 9*v = 7051. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 689 - -57b20?\nAnswer: 585a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1583292313?\nAnswer: 83, 19075811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40816465 + -34?\nAnswer: -40816510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -304 + 304. Suppose 5*v - 32 + 22 = c. Solve v*u - 6 = -2*z, 3*z - 4*z = -u + 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1\/7, 0, 1\/2, 1, 2\/345, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((0 + -6)\/(-6)). Solve 0 + 1\/3*x**3 + 1\/3*x**2 + g*x = 0 for x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -6.9. Let n = x - 1.1052. Round n to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/4563 or 55218?\nAnswer: 2\/4563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.5821um to nanometers.\nAnswer: 69582.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -4. Suppose x*f + 16 = 3*f. Let v = -4.79 + -0.21. Sort v, 2\/9, f.\nAnswer: v, f, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 2:25 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from ddmdddmdamddddma?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (6 - (7 + -10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/12 and -25\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaaayiyyyajayaayahaa. Give prob of sequence jah.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 - 556*z\/3 + 77284\/3.\nAnswer: (z - 278)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 104\/(-1716)*-33*2*(-65)\/(-8)\nAnswer: 65\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 828 and 966?\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1314112 + -10?\nAnswer: -1314122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 1 + 0)*(-1 + 4*u + 1) + (5*u - 4*u - 2*u)*(6 - 4 - 4))*(-2*u - 9*u**2 - 38*u**4 - 2*u + 37*u**4).\nAnswer: 14*u**5 + 126*u**3 + 56*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 1 + -2)**2.\nAnswer: -6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -539556449 times -5\nAnswer: 2697782245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3102?\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 89 - 22 = 0. Let s = 100 - y. Let z = s - 59. Solve 2*u - 4 = 3*o + 8, -z*o + 7 = 5*u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -696.71 - -697. Which is smaller: 3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 422733 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -3. Let y = -3 - u. Let q = -0.04 - -2.04. Which is the smallest value? (a) q (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01 (b) 0.15 (c) -4666 (d) -5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5412 + 25?\nAnswer: -5343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.60794423 to 2 decimal places.\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1*-15)\/((-135)\/21 + 6) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/11)*k)**(5\/2)*(k*(k*k**(-9))\/k)**(-24) assuming k is positive.\nAnswer: k**(2172\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 - 6*n**3 - 8*n**2 + 14*n**2.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)*f*f)**7\/(((f**(-1\/2)\/f)\/f*f*f)\/f**(-9)) assuming f is positive.\nAnswer: f**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233685459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -74752920 divided by 13170\nAnswer: -5676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/1)\/(12\/(0 + 12)). Solve 4*p + 2*h - 2 = 0, g*p = 2*h + 3*h + 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2299) + sqrt(2299) + -2 - (1 + sqrt(2299)*4) - ((sqrt(2299) + -3)*-3 - sqrt(2299)*3*2))**2.\nAnswer: -2464*sqrt(19) + 112907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from wfcecrfcrbeerfeccc?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27173 is divided by 138?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s**2 - 18. Let k be t(-3). What are the prime factors of (4 - k\/15) + (-10899)\/(-15)?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0. Let x = 0.1 + k. Let w = -5 - -4. What is the closest to -1 in w, -1\/7, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-19026813\nAnswer: -57080439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -18436 divided by -1676?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -76*k - 1 + 38*k + 1. Let m(x) = x. What is m(b(l))?\nAnswer: -38*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -3, 14, 0, -5 in descending order.\nAnswer: 14, 0, -3, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24582 + 43250. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483089 is divided by 117.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7603 - 7551. Calculate the smallest common multiple of 34 and w.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - m - 4. Suppose d = -0 - 8. Let r = d + 5. What is the units digit of t(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1, -3, 0.6 in descending order.\nAnswer: 1, 0.6, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*j + 20*j**3 - 12*j**3 - 10*j**3 as u*j + r*j**3 + v + f*j**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-12) - 1370\/(-60). Let l = 113\/5 - m. What is the second biggest value in l, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -334.54 + 343. Round d to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(272) + -2) + sqrt(272)*-3 + -4.\nAnswer: -4*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 8.8, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -5, 22, 67, 130, 211?\n\"Answer: 9*t**2 - 18*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 1:08 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2423 to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 337) + -63 + 58. Let u = r + 370. What is the remainder when 47 is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**2 + 47*y**2 - 26*y**2.\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7.3*-3247\nAnswer: 23703.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 2:44 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1036)\/(-555) - (-4)\/30. Solve 3*x - 8*x = -3*r + 24, d*r = 4*x + 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 - -1) - (13 + -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**4\/12 - p**3\/2 - 3*p**2\/2 + 37*p + 4. Let d(r) = -r**2 - 4*r - 4. Determine 6*c(s) - 4*d(s).\nAnswer: -2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -549, -271, 9, 291, 575?\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 14*r + 9. What is u(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/5))**(-31)*(((s*s**(2\/7)\/s*s)\/s)\/s)**24 assuming s is positive.\nAnswer: s**(-383\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (-7)\/7)*4. Suppose -51 = p*l - 347. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4050*h + 2999*h - 725*h in the form b + c*h and give c.\nAnswer: 6324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1990\/(-796) + 81\/10. Factor -44\/5*u - 4\/5*u**3 - 4 - f*u**2.\nAnswer: -4*(u + 1)**2*(u + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 299*y**2 + 7\/12*y**4 - 1\/60*y**5 - 4\/3*y**3 - 2*y + 0. Give s(9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 113\/4. Let d = -7639 - -7638. What is the nearest to -13 in z, 0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -19, -64, -125, -208, -319, -464, -649?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*c + 15, 3*l + 6 = -0*c - 2*c. Is (l\/4 + 1)*79 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 1151*f**4\/4 + f**3\/3 + f**2 - 3*f - 2. Is p(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 273*u - 1980. Calculate g(7).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/20 bigger than -106081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.924022 decades in centuries?\nAnswer: 0.1924022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = k - 6. Let i(h) = 32*h**k - 10*h**2 - 25*h**2. Let y(c) = 44*c**2. What is y(i(o))?\nAnswer: 396*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 480625?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003806 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*u - 58*u = -925138 - 4291982. What is the thousands digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p. Let t(x) = -2 + 3*x**2 + 2 + 14*x**2 - 1309*x + 1324*x. Calculate r(t(y)).\nAnswer: -17*y**2 - 15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3064215?\nAnswer: 3, 5, 7, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20893.\nAnswer: 17, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-7)\/2))\/(29 + 38064\/(-2135) + -11)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0871151 milligrams in kilograms?\nAnswer: 0.0000000871151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 7:39 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 399 + -354.6. Let j = -44 + s. Let w = 5 - 0. What is the biggest value in w, j, -0.04?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -731664, -731572, -731420, -731208?\nAnswer: -730936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 74*y - 215. Let l be g(71). Which is the biggest value? (a) -80 (b) l (c) -6 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 656.494 + 1.706. Let d = -655.1996 + n. Let m = d + -3. What is m rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/208 and 55\/1196.\nAnswer: 4784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 3*v + v + 2*v as o + i*v and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10402 + 10401.1378. What is q rounded to two dps?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497155?\nAnswer: 5, 99431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1363\/203 - (-4)\/14 - -73293?\nAnswer: 2, 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 189801\/(-12))*(-18 - -22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-3))\/(2\/6). Let n be ((-3)\/(-2) - 0)\/((-15)\/(-10)). Let p(v) = 133*v - 2655. Let k be p(20). Put a, -1, k, n in ascending order.\nAnswer: a, -1, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 6:09 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4624, 4684, 4760, 4858, 4984, 5144, 5344, 5590?\nAnswer: 5888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + c - 1. Let y be (-2)\/(-2) + (4 - 2). Let u(x) = -4*x**2 + 2*x - 2. Suppose 2*i = -0*i - 10. Let s(v) = i*g(v) + y*u(v). Calculate s(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - d + 2. Let l(m) = -4 - 4*m + 5 + 1. Let y be l(d). Calculate the greatest common factor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -34 + 12*a**2 - 4*a**2 + 9*a + 4. Let p be w(-6). Let h = -77 + p. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 100*p**2 - 678*p + 6. Determine f(-7).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 6. Calculate the lowest common multiple of 4 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17 + -18 - 81\/(-87). Which is the nearest to 2\/7? (a) w (b) -3 (c) 2\/13 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 9*u. Let o(t) = t**2 - 2*t - 2. Suppose 5*j - 2*j = 15. Let c(a) = 3*a**2 - 5*a - 5. Let k(h) = j*o(h) - 2*c(h). What is k(l(r))?\nAnswer: -81*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1111881 + -3\nAnswer: -3.1111881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7505, 516, 5 in increasing order.\nAnswer: -7505, 5, 516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 15 = -4*i + 2*y, y + 3 = 0. Let o be 11000*i\/(-3)*4. Round o to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/(-3) - ((-14960)\/12)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -0.2 (b) 0.3 (c) -1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((-2 + sqrt(75))*4 - (0 + 1*sqrt(75)))*-5)**2.\nAnswer: -5700*sqrt(3) + 18319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (58\/(-56) + 1)\/(243\/972). Let k = 1 + -1. Which is the nearest to k? (a) -0.4 (b) -0.1 (c) v (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 + -97803.779616?\nAnswer: -97137.779616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 805*r - 3911. Determine g(-5).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35695 smaller than 35695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 556, 1\/2, -3\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + 0)\/(7 - 6). Suppose 6 = 3*x, v*r - 3*x - 40 = r. Suppose r = 5*u - 47. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 206*n**6 - 8*n**2 + 34 wrt n?\nAnswer: 24720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p**2. Let c(d) = 7*d**2 - 2*d + 2. Let z(o) = -70*o**2 + 21*o - 21. Let a(i) = -21*c(i) - 2*z(i). Determine a(j(w)).\nAnswer: -567*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b + 7*b + 2*b**2 + b**2 - 2*b**3 to w + m*b**3 + x*b**2 + n*b and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -60\/7, 0.5, -1\/52, 7, 4?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -17846?\nAnswer: 1\/17846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/2)\/((-11)\/44). Let g = z + -4. Suppose 3*m + 14 = -i - g*i, 0 = 4*i - 5*m - 12. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -5*m + 30. Suppose -m*n = -3*n. Suppose n = 7*j - 2*j - 290. Calculate the remainder when j is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10764*p**3 + 5102*p**3 + 5238*p**3.\nAnswer: -424*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrrc when four letters picked without replacement from nprreenrnnrnncrnn.\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (53 + 263 + 273 - 205 + 480)*(2*r + r + 0*r) in the form k*r + n and give k.\nAnswer: 2592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13343314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 12*c + 24. Let d be w(-2). Suppose d*i = 3*i - 471. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-24))\/(11*(-225)\/(-660)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 2*t + t = j + 4, 3*t + 6 = -2*j + 2*j + 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 12:45 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*p**4*q**2 - 2*p**3*q**2 + p**3 + 19*p**2*q - p*q**2 wrt p?\nAnswer: -720*p*q**2 - 12*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.3 + -5.9. What is the smallest value in 0.6, 1, m, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 4*k - m + 192, -13*m = -8*m + 20 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -10*h + 3. Let q(c) = 3*c - 1. Let r(m) = -7*q(m) - 2*x(m). Suppose j + 18 = -4*i - 14, -5*i = j + 39. Give r(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (79\/10 - 8)*-6. What is the fourth biggest value in 18, i, -0.5, -2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -319. Calculate the remainder when w is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/2*(-6)\/8. Let m = -33 - -55. Let k = m + -15. Which is greater: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/138726719 and -71\/10.\nAnswer: 1387267190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-133)\/(-70) + 6\/(-4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**3 - 6*y**2 - 65*y + 3. Let f(z) = -7*z**3 + 10*z**2 + 130*z - 5. Give -3*f(c) - 5*t(c).\nAnswer: c**3 - 65*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.124808478 to 3 decimal places.\nAnswer: -0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -180*j + 436*j**2 - 240*j - 438*j**2 + 72*j as p*j + h*j**2 + a and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2) + 3 - 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365684007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 551172446 to the power of 1\/3, to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 9. Let x be p(-6). Sort x, -2, -4 in decreasing order.\nAnswer: -2, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 38*m**2 - 41*m**2 + 2*m - 14*m**4 - 2*m as c + z*m**4 + q*m + r*m**2 + w*m**3 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -224771, -449501, -674231, -898967, -1123715?\n\"Answer: -c**3 + 6*c**2 - 224741*c - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54755 is divided by 1217?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*c - 20. Suppose -8*r + 5*r = -36. Solve 0 = c*l - l + r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/3, -0.4, 0.2, 5, -1.7 in descending order.\nAnswer: 5, 0.2, -0.4, -1.7, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11669 (base 10) in base 8?\nAnswer: -26625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 10. Suppose 7*y - 3*y = 12, v*y - 7 = x. Let s(t) = 54401*t**3 - 4*t**2 - 6*t + 5. Let m be s(x). Round m to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 7.94. Let w = -1.94 + f. Which is the smallest value? (a) 0 (b) -2\/9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1451743 or -1451727?\nAnswer: -1451727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2026 + -2048. Which is the second smallest value? (a) -1 (b) 0.4 (c) -2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 11:49 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, s: 7, c: 3, y: 2, t: 5}. Give prob of picking 1 c and 1 y.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 - -6)*1\/(-1). Let z = -13 - i. Which is greater: z or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1374*o**2 - 2731*o**2 + 1371*o**2 - 27 + o**3 + (-2*o**2 + 2*o**2 + o**2)*(o + 0 + 0).\nAnswer: 2*o**3 + 14*o**2 - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n + 48. Calculate x(0).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 23. Suppose u + o = 4. Let r be (u\/2)\/((-4)\/(-24)). Solve -r = 3*c - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2)*-3 - (sqrt(192)\/sqrt(6))**2)*1.\nAnswer: -32 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**6\/120 + h**5\/12 + h**4\/8 - 2*h**3\/3 - 11*h**2. Let w be g(-3). Which is the closest to 1? (a) 3 (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = 5*u. Let k be (-3)\/(0 + u)*7. Let g = 19 + k. Calculate the remainder when 35 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569020159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-14)*(4 - 8\/3). Let j = 4.96 + 0.04. Sort a, j, 1\/4 in decreasing order.\nAnswer: j, 1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/345 and -58\/55.\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 0*p**3 - 3*p**2 + 0 + 1\/8*p**4 + 0*p - 1\/60*p**5. Find the second derivative of l(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b + 3. Suppose 16*u - 66 = 5*u. Let g be ((-16)\/(-6))\/8*u. Let l(a) = 9*a + 7. Give g*l(h) - 5*m(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**3 - 1500 + 1500.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11824 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 16023.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-9))\/n)\/n*n**2)**(8\/5) assuming n is positive.\nAnswer: n**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4596 - -4603. Which is the closest to -35? (a) -1 (b) q (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -650*b - 31*b**3 + 247 + 265*b - 23*b**2 + 385*b + 1252 wrt b?\nAnswer: -93*b**2 - 46*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-31 + 17 - 4) + 15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) 0.1 (b) -4\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88422 and 2520027?\nAnswer: 5040054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 532*c**2 - 1248*c**2 - 971*c**2 - 833*c**2 as v + y*c**2 + m*c and give y.\nAnswer: -2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2671252*j**2*p**3 + 13776*p**3 + 392*p**2 wrt j?\nAnswer: 5342504*j*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 952.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9396 from -0.1.\nAnswer: -9396.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2043 - -10121433?\nAnswer: 10114340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-12)*-1)\/((-18)\/72)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*o - 0*q + 10, 2*o - 5*q + 4 = 0. Let w be (-3)\/(-2) + 0 + o. Let d = -4 + w. What is the nearest to d in 0.3, -2, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-26)\/143 - 16737\/(-33))*(-14)\/(-21) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.574549s in hours?\nAnswer: 0.0182151525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*g - 12633 = 147*g + 306*g + 15626 for g.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**4 - 4*q**3 + 68*q**2 - 49*q - 10. Let p(u) = u**4 + 2*u**3 - 2*u**2 - u + 2. Let m(z) = 2*p(z) + y(z). Find the second derivative of m(v) wrt v.\nAnswer: 12*v**2 + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 466673 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 313 - 309. Solve -3*f + 3*y + 15 = 0, -d*f + 0*y + 6 = 3*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5)**(-30) assuming q is positive.\nAnswer: q**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 0, 3*w + 4 = 2*k - w. Let y(u) = -222 + 222 - 7*u - 9*u. Let t(r) = 3*r. Let n(i) = k*y(i) + 11*t(i). Calculate n(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*r + 72, 0 = 3*z + 4*r + 40. Let n(i) = -594*i + 235. Is n(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 220211221?\nAnswer: -220211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 5*n + g, -2*n + 3*g = 46 + 16. What is the remainder when 17 is divided by n\/98 - (-37)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134291\/2550 - -3\/850. Let s = 48 - i. Find the common denominator of s and 69\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*n - 375524 - 29749. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/1 + 0\/(-1). Suppose 5*j + 28 = 3*w, 32 = -w - 4*j + 30. What is the highest common factor of i and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Let p(n) = -1 + m + 0 - n. Let f(y) = -2 - 2 + 6*y + 9 + 4 + 1. What is f(h) + 8*p(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431398*h**3 + 0*h + h + h - 2*h + 431409*h**3.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 78*d**2 + 3502*d**2 + 1 + 1783*d**2 - 448*d**2 in the form b*d**2 + p*d + z and give b.\nAnswer: 4915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -56*i**3 - 2*i**2 + 1. Let z be s(-1). Let d = -331\/6 + z. Is d bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -p - 0*t + 4, -2*p + 23 = 5*t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 8*k**2 + k + 5. Let s be v(-8). Let j(f) = 3*f**2 + 2*f. Let n(b) = -1 - 3 + 3 - 4*b**2 - 3*b. Let u(q) = 3*j(q) + 2*n(q). Determine u(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*r - 387*r + 128*r + 125*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1550, -1570, -1590, -1610?\n\"Answer: -20*r - 1530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m = 37*m. Let g be m\/(5\/15*6\/1). Solve -15 = -g*k - 3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 15 = -5, -2*h = 2*f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**2*z**2 - 3631*d**2 - 3*d - 472*z**2 - 1 wrt z?\nAnswer: 2*d**2*z - 944*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 21984 to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 63\/40*m**5 + 1\/28*m**7 - 18*m**2 + 7\/4*m**4 - 2*m + 2\/5*m**6 - 5*m**3 - 55. Find q such that r(q) = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 46286, 0.7, -3 in descending order.\nAnswer: 46286, 1, 0.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -125 (base 12) to base 2\nAnswer: -10101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7729 smaller than -7728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 2*f**2 - 203*f + 187*f)*(-650*f + 3 + 0 + 648*f).\nAnswer: 4*f**3 + 26*f**2 - 48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378)\/sqrt(54) - sqrt(63) - (sqrt(6300) + 2*sqrt(6300)))\/((sqrt(144) + sqrt(144)*2)*-6) + -2)**2*6.\nAnswer: -92*sqrt(7)\/9 + 15367\/486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1983859043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -83 (b) 1 (c) -157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v. Let x(c) = -c**2 + 4*c. Determine -3*w(o) - 2*x(o).\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (5\/60)\/(25\/40)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -x + 8, 3*x = -w + 30 - 6. Suppose -12 = -4*n + x. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7*u + 0 - 3)*((3 - 4 + 0)*(-1 - 3 + 3) - 1 + 5 + 3).\nAnswer: -56*u - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 913 - -2?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5141611, 5141584, 5141561, 5141542, 5141527?\nAnswer: 5141516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/90 and -97\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 9*f + 5. Let g be l(8). Suppose -8*m = -g*m + 620. Let i = -21 + m. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8641 take away -0.4?\nAnswer: 8641.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 944975?\nAnswer: 4724875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 12*i = -0*i + 18. Sort 5, 14, i, -6, -5 in decreasing order.\nAnswer: 14, 5, i, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8514719830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62964.\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40635302 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 743.5 + -743. Which is the nearest to -2? (a) k (b) -1\/33 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-17))\/(l**(5\/9)\/l*l)*((l**(-8\/9)*l)\/l)\/l**(-2\/29))**33 assuming l is positive.\nAnswer: l**(47729\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.780683 + -27.2193064. Let s = 29 + i. Round s to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001274341 rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 18*z - 23*z. What is the remainder when 33 + 3 + 1 + 4 is divided by (3\/((-6)\/z))\/((-10)\/(-20))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 13*q**2 - 2*q - 1. Let x be l(-1). Suppose 0 = -5*d + 3*d + 5*o, 2*d = -2*o + x. Solve -g + 2*a = -3*a + 12, d*g - 27 = -4*a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuuzzzzzzzzzzzu. Give prob of sequence uzu.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1824 times -1646\nAnswer: -3002304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 - -109. Suppose -7*z + 38 + 11 = x. What is the remainder when 17 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3430 divided by -245?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4 - 1972*j**3 + 217146*j**2 + 892312*j + 900232 = 0 for j.\nAnswer: -2, 131, 859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1223 + 1216 + 1218 - 3*v**2 - 3657.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11286 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*sqrt(432) - (sqrt(432) - (-5 + sqrt(432) + 1 + sqrt(432))**2) - (sqrt(36)\/sqrt(4)*-4 - sqrt(9))\/((sqrt(33) - -1*sqrt(33))\/sqrt(11)).\nAnswer: -355*sqrt(3)\/2 + 1742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 5*x**2 + 2*x + 12. What is s(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 times 773993\nAnswer: 1006190.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 11*j**2 + 380*j + 2028. Give h(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/211137?\nAnswer: 1\/211137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 10:27 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4317*t - 513699. Calculate y(119).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/420*(-4)\/(24\/7).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*f = 268*f + 30. Is (3\/(f\/(-5842)))\/(1\/(-1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*a - 254 - 56, 2*a + 10 = 0. Calculate the highest common divisor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -20 + 13. Solve -p - c = -2*c + d, c + 5 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 w, and 1 f when four letters picked without replacement from xyqhwwxfxqxhxxxxh?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 + 15 - 5) - 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1120924 and 140973.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/9 - 3604*k**2\/3 + 10810*k\/9.\nAnswer: 2*k*(k - 5405)*(k - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-400513\nAnswer: -24030.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1067*q = 1587612 - 1495850 for q.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -20 (b) 0.13 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 31*a**2 + 255*a + 328. Determine l(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1127587795574148.5999883 - -1127587977136648. Let y = 181562480 - r. Let h = y - -19.4. Round h to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 55?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + 1.03. Let s = w - 0.8. Which is the biggest value? (a) 0.5 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -63?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67.3 * -4929.\nAnswer: 331721.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -314, -775, -1538, -2681, -4282, -6419?\nAnswer: -9170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72937964?\nAnswer: 2, 11, 53, 31277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqu when three letters picked without replacement from muuqtqo.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -564 + 564.51. Let h = 1.49 + q. What is the closest to -1 in h, 5, 1, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5249722 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -5*g + 20, 12*g = 9*g + 5*z + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*b**3 + 24*b**2 wrt b.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-123)\/((-2583)\/266))\/((-10)\/(-75))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 29*n = 60. Calculate the remainder when n is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*j - 2*s, 2*j - 16 = -5*s + 3. Suppose -463 + 175 = -j*c. Suppose -460 = 22*b - c*b. List the prime factors of b.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 5:43 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*s - 13*s - 135 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o*o**(-1\/2)*o*o*o)\/o))*o*o*o**5)**(-24)*(o\/(o\/o**(-7))*o**(3\/4))**(3\/7) assuming o is positive.\nAnswer: o**(-6459\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 - 2*i**2 + i + 1. Let g(v) = 7*v**3 + 5*v**2 - 3*v - 2. Suppose -4*q = -q - 72. Let w be q\/156 + (-67)\/13. What is w*o(j) - 2*g(j)?\nAnswer: j**3 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from faaaaaaaaay.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (107 - (-87 + 88)) + -171.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1467112?\nAnswer: 2, 183389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -11)*(-6 + 8). Calculate the remainder when 75\/2 + (-10)\/f is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 16) + 22 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, -7, -3\/4, -0.005, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -137232 (base 8) in base 15?\nAnswer: -e6ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -2921.958?\nAnswer: 2921.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19281332 and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/5 - 3 - (0 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 0 + 0*w**2 - 1\/48*w**4 - 1\/8*w**3 - 6*w. Factor y(h).\nAnswer: -h*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*y + b, y = -5*b - 16 - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 11*s = -3*x + 46, 3*s + 4*x = 44 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3 - 12 = 0. Let m = k - -11. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37987 divided by -9\nAnswer: 37987\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-567)\/5670 + (-23)\/10.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*p**2*u**2 - 5*p**2 - 3*p*u**3 - u**3 - 39*u wrt u.\nAnswer: 62*p**2 - 18*p*u - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -262 (b) -0.2 (c) -2 (d) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/24*(-21)\/(20 + -13)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*h = 32, -u + 22 = 2*u - 2*h. Suppose -3*p - u*r + 4 = 0, 22 = p - 2*r + 4. Suppose 14 = w - 2. What is the highest common divisor of w and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -40*x**4 + 14*x**2 - 14*x - 50. Let q(k) = 8*k**4 - 3*k**2 + 3*k + 10. Let w(h) = -3*l(h) - 14*q(h). What is the first derivative of w(y) wrt y?\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxy when three letters picked without replacement from {s: 2, y: 5, x: 8}.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 4796189.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49611 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2943489427?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 10*r**2 - 33*r + 4. Let b(v) = 10*v**2 - 34*v + 3. Suppose -4*s = 1 - 17. Let x(u) = s*w(u) - 3*b(u). Is x(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251 = 2*d + 2*g + 215, 10 = d + 3*g for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 227 - 223. Let o(v) = v**3 + 15*v**2 - 4*v + 4. Is o(a) a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15, 48, 233, 600, 1209, 2120, 3393?\n\"Answer: 10*a**3 + a**2 - 10*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - z - 1, 0 = p + 5*z - 1. Suppose 28 = n + p. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, -1, 5 in decreasing order.\nAnswer: 5, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55969629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 387*o**2 - 2*o. Let s(h) = h - 456. What is s(w(n))?\nAnswer: 387*n**2 - 2*n - 456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2960000 to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsssssppv. Give prob of sequence dv.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/362 + 4877\/20634. Let b = x + 2\/19. What is the closest to 2\/5 in 0, b, -7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 13 = -4*o, 5*o - 4*l = o + 48. What is the third derivative of -2*n**3 + o + 2*n**2 - 7 wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*c - 2*p + 38, -4*c + 40 = -4*p. Suppose 0 = c*z + 169 - 25. Let g(d) = d**3 - 5*d**2 - 3*d - 4. Let f be g(5). Is z equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 6) + 8 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3)\/((-950)\/(-75)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2057*y - 236*y - 4046*y + 592*y - 3701*y to v + t*y and give t.\nAnswer: -9448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.7 - -1. Which is the biggest value? (a) 5 (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 253 and 207.\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.5 (b) 4 (c) -15 (d) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y + 81. Let h be o(-45). Let k(x) = 2*x + 25. Give k(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (42 - 4 - 4)*-1. Let w = s + 48. What is the greatest common divisor of w and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b = 0. Suppose 2*c - 5*g - 44 = 0, b*g = g. Let i(z) = 15*z + 580. Let v be i(-35). Calculate the greatest common divisor of v and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549 + m - 2224 + 839 + 0*m + 836.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 + y + 1. Let k be z(3). What are the prime factors of ((-12)\/10)\/((-12)\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5\/7 + 801*v**4\/7 - 149040*v**3\/7 - 4627692*v**2\/7.\nAnswer: -v**2*(v - 414)**2*(v + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -2\/9 (c) -3 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2869760 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3421 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 12*p - 11. Let v be f(-13). Suppose 0 = 2*a + v*a - q - 813, -3*a - 3*q = -591. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000507371 to seven dps.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 707, 1415, 2123, 2831?\n\"Answer: 708*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69652762?\nAnswer: 2, 701, 49681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2*y - 24 = 0, -4*y + 88 = -5*a + 143 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -7. Let d be 0*((-2)\/14)\/((-4)\/14). Sort f, d, -5 in decreasing order.\nAnswer: d, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Let w = 0.2 - h. Let m = -217 - -218. Which is the nearest to m? (a) -4 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*52.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-4 - -1)*(-6)\/(-8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1977?\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1226 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 9. Solve -p = p + f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**5\/100 + 351*l**4\/10 + 246402*l**3\/5 + 509*l**2. Factor b(z).\nAnswer: 3*(z + 702)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-31)\/1674)\/(40\/582) and -43\/18.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34358456 to the power of 1\/2, to the nearest integer?\nAnswer: 5862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5214 = -378*i - 491*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**8\/112 - x**7\/210 - 3*x**4\/8 - 5*x**3\/6 - 188*x**2. Find the second derivative of y(t) wrt t.\nAnswer: 60*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**4\/9 + 10*j**3\/9 - 4*j**2 - 80*j - 1. Factor d(v).\nAnswer: 4*(v - 1)*(v + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*o + z, -71*z = -2*o - 70*z + 40. Let x = 6 - 2. Let l be -2 - (2 + -8)*x. Which is smaller: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1233380 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354*f - 779*f + 201*f.\nAnswer: -932*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/7)*p)\/(p\/(p*p**(1\/4)*p)))\/(p**3\/(p\/(p*p**(6\/7))*p)) assuming p is positive.\nAnswer: p**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 13068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 7:12 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2154419976 and -1257.\nAnswer: 2154418719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 241 + 56 = 0. Let k(f) = -11*f - 13*f + h*f. Calculate k(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 6) + -3 + 2. Let z be 24\/36 - (-52)\/g. List the prime factors of (-4)\/z*-4 + 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011032 to five dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 306*k**3 - 31*k**4 - 28*k**5 - 507 + 56*k**5 - 27*k**5 + 1261*k - 1030*k**2.\nAnswer: (k - 13)**2*(k - 3)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -53, -432, -1447, -3410, -6633, -11428, -18107?\n\"Answer: -52*q**3 - 6*q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101251 a multiple of 598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-38)\/57 + 86\/3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -156*w + 1888256 + 24047415 + 18196573. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2596 - 2583. Put -5, -44, w in decreasing order.\nAnswer: w, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b\/b**(-27)))*(b*b**(-29))\/b*b*b**(-18)\/b*b*b*b\/(b\/b**28) assuming b is positive.\nAnswer: b**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 311613536 to the power of 1\/2, to the nearest integer?\nAnswer: 17653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 2 - 6. Suppose w*b**2 + 2*b**2 + 4 + 8*b - 2*b**2 = 0. Calculate b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*(g*g**8)\/g)\/g))\/g*(g\/(g\/(g**(4\/7)*g)))\/g)\/(g**(-8)\/(g\/(g\/g**(-8)))) assuming g is positive.\nAnswer: g**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2234, -4412, -6576, -8720, -10838, -12924, -14972?\nAnswer: -16976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2. Let d(a) = -1567*a**2. Determine x(d(q)).\nAnswer: 7366467*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 4672720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-19))\/u)*(u*u*u**(3\/2))\/u*u)\/(u\/(u*u*u**(-7))*u*u**(1\/14)*u) assuming u is positive.\nAnswer: u**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2501 and 549.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1285632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/h**(-2\/21))\/h*(h\/(h*(h**1\/h)\/h))\/h*h)\/(h**(-1\/14)\/(h\/(h*h**(-16)*h))) assuming h is positive.\nAnswer: h**(103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -83*b**2\/4 + 255*b - 72.\nAnswer: -(b - 12)*(83*b - 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/11 and 95\/76112?\nAnswer: 837232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -13*n**3\/6 + 77*n**2\/2 + 40*n + 10. Determine o(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = d - 32 + 9, -2*d + 45 = 5*j. Let l be (-10)\/d + (-6868)\/(-20). Suppose 1840 = 5*y - 5*x, -2*x + l = 5*y - 1532. Is y 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 1278021271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 544.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*o)*(0 - 2*o**3 + 0) - 2*o**4 + o**2 - o**2 + (-o**2 + o**2 + o**2)*(-1 + 1 - 4*o**2) + (-o + 10*o + 2*o)*(-3*o**3 - 2*o**3 - 2*o**3).\nAnswer: -79*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-7)\/(-42)*21\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-2\/79)))**(-3\/10) assuming b is positive.\nAnswer: b**(-3\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 14) to base 7\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5\/6)*l*l**(-1\/10))**2 assuming l is positive.\nAnswer: l**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199373.7 nanoseconds to microseconds.\nAnswer: 199.3737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - (95 + -45)) + (53 - -1).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.30932ml?\nAnswer: 0.00030932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sycsscsssissccsisys. What is prob of sequence yi?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 223964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32299179 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z*z**(-5)*z)\/z*z**(2\/21))**(-20))**(-2\/133) assuming z is positive.\nAnswer: z**(-1600\/2793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*h - 14. Solve -6*m = -h*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.17, -39, -0.2, -3999?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 12. Let n = 512 + -505. Calculate p(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 1:23 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -62, -101, -142, -185, -230, -277, -326?\n\"Answer: -d**2 - 36*d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*sqrt(187) - sqrt(187))*5)\/(sqrt(110)\/(sqrt(10) + sqrt(30)\/sqrt(3) + sqrt(10))*-1).\nAnswer: -60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 10*b**2 - 2*b + 14. Determine r(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1093*z = 1073*z - 440 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/2 and -71\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8b1a7 (base 13) to base 10\nAnswer: -252961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*b - 62*b + 12. What is the nearest to -6.6 in b, -13, 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/15, 0, 1715, -5\/2, 0.2, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127 - 63. Suppose 4*t - 4*n - o = 12, n + 33 = 2*t. Let j = t - 11. Which is the nearest to 2? (a) 4 (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -5*w**3\/6 - 23*w. Let g(d) be the third derivative of -13*d**5\/60 - 217*d**2. Give s(g(p)).\nAnswer: 65*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2541992 and 0.4.\nAnswer: 1016796.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*i = -166, -v = -4*v + 2*i + 128. Let p = v + -45. Let k(j) be the second derivative of -j**5\/20 - j**4\/12 - j**3\/6 + j. Determine k(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53584 and 18224.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25308 and 738720?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1932110 and 19321100.\nAnswer: 19321100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2652015200 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3534 - 3532. Let o(q) be the second derivative of 0 - 9\/4*q**w + 1\/8*q**4 + 8*q - 1\/2*q**3. Find b such that o(b) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/8 (b) 2\/5 (c) -1\/2 (d) 0.5 (e) 2394\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200 + -3?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 865 + 4*p**3 + 3*p - 1729 + 59*p**2 - 6*p + 865 in the form n*p**2 + c*p + q + g*p**3 and give n.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 827557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13247 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000189967 rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-4)\/9)\/(-2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-22)\/18 - -1) + 9427\/99. Let g(c) = 2*c**3. Let m be g(1). Suppose i = -n + m*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -10*l + 5. Let m be (-1)\/(3 - 2) - l\/1. Which is the nearest to -3? (a) 0.1 (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1742, -6964, -15668, -27854, -43522, -62672?\nAnswer: -85304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/10*(22\/((-484)\/(-1430)))\/10?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**8\/56 + 67*w**6\/30 - 111*w**4\/4 + 2*w - 3. What is the third derivative of v(u) wrt u?\nAnswer: -120*u**3 + 1608*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*s + 114 + 103 - 955 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15071860424\/73482382491 - 2\/66021907. Let m = h + -32\/147. Let j = 17\/53 - m. Is j < -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(-3 + sqrt(243) + -2 + sqrt(243) + 4)*2)**2 + 4.\nAnswer: -57600*sqrt(3) + 1556804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2 - 7*s + 7. Let q(n) = n**2 + 2*n - 2. Let y(v) = 7*q(v) + 2*x(v). Let k(o) = -9*o**2. Calculate k(y(d)).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*t + 3336*t - 1066*t.\nAnswer: 2424*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l = -3*s - 6, 27 = 4*l - 5*s. Let y be (28\/l)\/((-7)\/(-42)). What is the highest common divisor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 2*a - 1. Let b be l(-1). Suppose -x = -d + x - 1, x - 13 = -b*d. Let v be (2 + -1)\/((-1)\/d). Which is smaller: v or -2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*k + 2*k = 30, -27 = -j + 4*k. Let f = j - 13. Put f, 5, -10 in descending order.\nAnswer: 5, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -276934.1 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -11*y. Let v(f) = 11*f. Give -5*h(k) - 4*v(k).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - y + 4*y = 2, 3*y - 43 = 4*h - 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*o + 640, 769 = 6*o - o + 4*s. What are the prime factors of o?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53676.22t to grams.\nAnswer: 53676220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*n**2 + 15*n**2 + 338*n + n**2 + 410*n + 10*n**2 to i*n + t*n**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19856)\/(-12)*45\/(-275)*(-35)\/14. Is p bigger than 678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2024 and -139.\nAnswer: -139.2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 8*t + 2. Let v be f(-12). Let z = -51 - v. Let u be (144\/20)\/4 + (-1)\/z. Solve -2*h - c + 8 = u, 0 = 5*c + 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165365872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 5*v + 48, 0 = 2791*a - 2790*a - 8*v + 75 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4455702?\nAnswer: 2, 3, 109, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4173 and 1326.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.36051 and 1?\nAnswer: 10.36051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/26 and 34\/1463?\nAnswer: 38038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -1304\/3 + 16\/3*q**3 - 2172*q - 1732*q**2 = 0.\nAnswer: -1, -1\/4, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 - 18*d + 15. Let o be n(9). Suppose -o*j = -19*j - 12. Let c = 0.3 - 0.8. What is the closest to 0.5 in 5, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - -7) + -38 - -44?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 11.1. Let f = 76 - 78. Which is the closest to 0.04? (a) r (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/18)\/((y\/(y\/y**(-3\/17)))\/y)*(y*(y*y**1)\/y)\/(y\/y**10))**0 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*b - 7*b. Let x(g) = g - 3. Let m be x(b). Suppose m = 4*w - 3*w - 47. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7686 - -230617\/30. Let r = t + -7\/5. Which is the smallest value? (a) r (b) -2\/7 (c) 0.4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3271*v**5 + 2*v - 110594?\nAnswer: -65420*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -468.45 - 293263?\nAnswer: -293731.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 + 168\/32. Let n(k) = k**2 + 3*k - 88. Let l be n(-11). Put t, l, 0.2 in ascending order.\nAnswer: l, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004675 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 12*s - 1\/6*s**3 + 0 + 0*s**2. Let b(i) = 21*i + 21. Let r(c) = 3*c + 3. Let o(h) = -4*b(h) + 27*r(h). Give -o(j) + 5*t(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -952.2.\nAnswer: 38.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/3 (b) -0.04 (c) -0.5 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 + 83*x - 85. Give f(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219.\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 g when four letters picked without replacement from gggggggggggugugguu?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2784*i**2 - 7487*i**2 + 3838*i**2 as h + o*i + f*i**2 and give f.\nAnswer: -865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 1\/4 (b) 403 (c) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88d83 (base 15) to base 14.\nAnswer: -b478c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from uybluub.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13710)\/(-9140))\/(6\/(-40)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22642181*y**3 - 28589484*y.\nAnswer: -135853086*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*f - 101*f - 8*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8097091181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2550*h + 1919. Is i(22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.181115 to the nearest integer.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 137 and 17145276?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 2515376846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116.5 + 108.5. Which is the second biggest value? (a) j (b) -0.36 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-9 - -2) + -1 + 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 3*f - 75230*f**3 + 78750*f**3.\nAnswer: 3520*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4 + 6*f + f**2 - f**2 + f**2. Let m(a) = 2*a + 1. Suppose 0*y = 2*y. Suppose i - 1 = w - y, i + 4*w + 14 = 0. Calculate i*p(o) + 7*m(o).\nAnswer: -2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2 + 4. Let p = 4 - g. Suppose -5*a - x - 4*x = -30, -5*x = -p*a - 14. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101011001010111 (base 2) to base 16\nAnswer: 5657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 7*b**2 + b - 7. Let g be o(7). Let x(p) = p + 28. Let a be x(g). Let z = -18 + a. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/2*(11\/(-5))\/11.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1*(-5)\/(-30))\/(75\/(-1575))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/11)*y)\/(y**3\/y*y))\/(y*y\/y**(-10)*(y\/(y*y**11))\/y) assuming y is positive.\nAnswer: y**(-23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -2, 5.\nAnswer: -47, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-1)\/30*24\/392*7\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from evevvvevveeeev?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w*w\/w**16)\/((w\/w**(1\/14))\/w))**(11\/6))**(-30\/7))**(4\/21) assuming w is positive.\nAnswer: w**(19910\/1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Suppose 2*b = 8, -2 = 5*p - 3*p - 2*b. Suppose -p*g + 45 = -2*r + 3*r, -2*g - 5*r = -30. Solve -3*d - n*d + g = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -930323725 - -3700?\nAnswer: -930320025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 - -68. Let h = b - -42. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000932 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 19. What are the prime factors of q(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2, -554, -66?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 19 = 5*o, 0*o = -2*o + 3*s - 13. Suppose 45*t = p + 41*t - 2, 0 = 5*p - 4*t + 6. What is the common denominator of 64\/21 and (p\/9)\/(0 + o\/7)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 847 and 9559?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(48\/(-20))*(-22)\/(-55)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 12*i**2 + 228*i - 258. Give q(-20).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + (12\/1 - (3 - -14)). Let y(q) = -1 + q - 3*q**3 - 5*q**3 + q**3. Determine y(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 59, 111, 169, 239, 327, 439?\n\"Answer: m**3 - 3*m**2 + 54*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + -5. Let k = 35 + -16. Let z = k + n. Which is the smallest value? (a) z (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 638a84?\nAnswer: 638a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329039 is divided by 180.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**5\/60 + 7*b**4\/24 - 3*b**3 - 2*b**2 - 212*b. Find v, given that t(v) = 0.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 * -80.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -164*t**2 + 4594*t - 63. Calculate y(28).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/(-15))\/((-122773)\/(-92064) - (-8)\/(-6)). Calculate the highest common factor of 1918 and a.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*n**4 + 0*n**3 + 0 + 2\/9*n**2 + 0*n.\nAnswer: -2*n**2*(n - 1)*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -2*v + 262. Let b = 355 - v. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3216*h + 1407. Let x(n) = 2*n - 1. Determine 2*m(g) + 2814*x(g).\nAnswer: -804*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 2*c + 2. Let s(k) = 2*k**2 - 8*k + 7*k - 3*k**2. Give q(m) + s(m).\nAnswer: -3*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, 38, 0.06, -4 in ascending order.\nAnswer: -5, -4, -0.4, 0.06, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 168 = -8*g. Let p be 12 - (-7)\/((-42)\/g). Solve p*a = -7 - 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 168*h*t**3 - 588*h*t - 45*t**3 + 6*t**2 + 3*t - 6 wrt t.\nAnswer: 1008*h*t - 270*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2 + 75430*b + 8348088 = 0. Calculate b.\nAnswer: -37604, -111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*z = 14, -4*c + 20 = z - 0*z. Let g = -5 + c. What is the derivative of 3 + 1 - g - 4 - p**2 wrt p?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-212)\/(-6)*(-18)\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28.2 - 28.6. Which is the nearest to 0.2? (a) 1\/22 (b) 0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.9 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 2:21 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 3:02 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4*h - 5 = 0, -2*h - 50 = 5*f + 3*h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/195064 and 79\/592.\nAnswer: 390128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**5\/60 + q**4\/8 + q**3\/3 - 3*q**2. Suppose l(b) = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -18*s**2. Let u be ((-1 + -2)\/3)\/(4\/(-8)). Let w(f) = 227*f**u - 224*f**2 + 7 - 7. Determine l(w(j)).\nAnswer: -162*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 53*u - 59 - 49. Solve 3*j = -r + 4, u*r = 39*j - 41*j + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from tbttttttttwttwbwtb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21 (b) -41769 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5251.720912 to one dp.\nAnswer: 5251.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 5725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 18 = -54. Calculate the smallest common multiple of t and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323\/22 >= 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4256680654.6007469579 - -4256680764.17. Let t = -2.4307463479 - z. Let m = 112 + t. Round m to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.0339 - 1.07677. Round g to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*w**3 - 61*w**3 - 54*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 360445807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69 + -4 + (-2634236)\/40552?\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1353, 1340, 1311, 1260, 1181, 1068, 915?\n\"Answer: -l**3 - 2*l**2 + 1356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 7922640.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 542*y = 548*y - 288. Calculate the remainder when y is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 3:24 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10)*137\/(-14). Let u = 21\/5 + i. Is 2\/7 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 40 = 5*u - 5, -20 = 5*u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6*u + 5 = 2*y, 5*u = -15. Suppose -y = -5*w + 3. Suppose w*a - 32 = -0*a. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*g + 25 = 0. Let d be 1540\/100 + -15 - (-182)\/(-105). What is the nearest to 0.6 in d, -0.1, -3, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -37\/2. Let n = -3\/17 + 55\/119. Which is the biggest value? (a) -1\/8 (b) t (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 10*v**2 - 3*v + 3. Let b(h) = 2*h - 13 - 1 + 5 + 3 + 4 - 9*h**2. What is -3*b(r) - 2*z(r)?\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + 310?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-12)\/(j**(2\/5)*j))**(-3\/22)*j*j**(-2\/21)*j**4*(j**(1\/3))**(-12) assuming j is positive.\nAnswer: j**(6311\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111011110100100000 (base 2) to base 9.\nAnswer: 2381433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89862738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51733 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747552.\nAnswer: 2, 3, 13, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.6 - -7. Let z = -11.9 + 12. Sort c, -1, z.\nAnswer: -1, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2 = 13. Suppose a + y - 6 = 0, -2*m - 2*a = -12. Suppose 0 = -5*t - m*c + 22, -3*t = 2*t + 4*c - 26. Solve -3*z = t*n - 5*n, 3 = n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (3 + sqrt(112)*-2))*-4 - 3*(-5 + sqrt(112) + 0 + sqrt(112)))**2.\nAnswer: -3888*sqrt(7) + 37017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -7. Let t be 4\/(-10)*(-5)\/k. Are t and 0.3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1116631134 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 10*g + 4494. Let d = 321 + g. Which is the third biggest value? (a) d (b) -0.5 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 - 3*p**4 + 2*p**4 + 11*p**2 - 11*p**2 - 4*p**4 + 2*p**2 + p**4 - 2*p**2 + (3*p**4 + 2*p**4 - 7*p**4)*(0 - 4 + 2).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*k + 904 = 260. Let u(t) = 4*t**2 + 16 - 3*t**2 + 0*t - 4*t + t**3 + 5*t. What is the least common multiple of k and u(0)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.5145118g?\nAnswer: 514511800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (2 - (-8 - -1)*-1). Let y = -3 - a. Solve 0 = -4*c - y*v + 10, 2*c + 2*v + 3 - 13 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a**3 - 5*a**3 + 40 - 2*a - 10*a**3 - 41 in the form y + h*a + b*a**2 + r*a**3 and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39244 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59231723 + -7036124.\nAnswer: 52195599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352732771.\nAnswer: 29, 1259, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 - 4*j + 3*j**3 + 0*j**3 + (-5*j**2 + 10*j**2 + 5*j**2)*(-10*j + 11*j + 7*j) in the form s*j**2 + i*j + n + h*j**3 and give h.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*j*o**3*q**3 - 14319406*j*o**3 - 1188*j*o**2*q**3 - 18*j*o*q**3 - 3*j*q**3 + 3*j*q - 3*o**2 wrt o.\nAnswer: -72*j*q**3 - 85916436*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h = -4. Suppose -2*g - 14 = -20. Find the second derivative of 2*o**2 + g*o + o**h - 4*o**2 wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**5\/80 + 49*s**4\/96 + 2*s**3\/3 + 65*s**2. Factor k(v).\nAnswer: (v + 16)*(3*v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 774 - 646. Solve -4*n - h = -36*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g + 27. Let o be w(3). Let d(z) = -2*z - 3. Let n(x) = -4*x - 7. What is o*n(t) - 14*d(t)?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -230592*p + 21214439. Calculate a(92).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t = 34*t - 72*t. Suppose -3*q + 2*a + 77 + 36 = t, -108 = -3*q - 3*a. What is the remainder when q is divided by (-3 - -1) + 16 + -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.4099 centuries in months?\nAnswer: 463691.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and (-1 - -7) + (24 - 190\/10)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50926785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f + 235. Let b be m(17). Let y = -121 + b. What is the greatest common divisor of 10 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m - m)*(2 - 1 + 0) + (-6 - 9 + 20)*(14*m + 73*m + 20*m).\nAnswer: 537*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 44 - 39?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 62463.41 minutes in nanoseconds?\nAnswer: 3747804600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-58)\/30 + 1 + (-32)\/(-6) + -4. Which is the second biggest value? (a) 35 (b) 2 (c) x (d) -12 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/720 and 53\/17860.\nAnswer: 642960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6132231 divided by -292011.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/(-9) + 4 - 0 - 144\/(-378). Let f = -0.13 - 4.87. Sort -3\/8, m, f in ascending order.\nAnswer: f, -3\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10812 and 1474937.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42664 is divided by 2351.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264.676 millilitres in litres?\nAnswer: 1.264676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.15, -15.5, -1\/4, -1?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/39)*s**(1\/2))\/(s*s**(-2\/29)*s*s*s*s**(-3)) assuming s is positive.\nAnswer: s**(-859\/2262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 904224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15*10\/(-75))\/(4\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*k - 145*k - 1205*k - 140*k in the form l*k + p and give l.\nAnswer: -1409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22279775294632 take away -0.2?\nAnswer: -22279775294631.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102.483934 + 24.835.\nAnswer: -77.648934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-667)\/(-58)*(-1 - 9). Find the common denominator of 58\/99 and w\/18 - (-5)\/10.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.55 and 7407119.\nAnswer: 7407119.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*v + 4 = -10, 4*v = -8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 87.1651 milligrams?\nAnswer: 0.0871651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 498709.4 millennia?\nAnswer: 49870940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/9 and -23\/930?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/5 - 168*n\/5 + 352\/5.\nAnswer: -4*(n - 2)*(n + 44)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-176)*-2*(-524)\/(-131)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 8:32 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**4 + 9244*r**3 + 2584096*r**2 + 192094656*r - 194688000 = 0.\nAnswer: -2000, -156, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 19*o + 104. What is l(24)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xffxxxffzffafxffax. What is prob of picking 1 x, 2 a, and 1 f?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.04 (c) 5\/2 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132950 + 148358.01. Let n = r - 15275. Let f = -132 + n. What is f rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -17*g - 27 - 21\/2*g**2. What is the derivative of s(f) wrt f?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (-6*(-2 + sqrt(33)\/sqrt(3)) - ((sqrt(1331) + 1 - sqrt(1331)) + -5)))**2.\nAnswer: -1008*sqrt(11) + 3552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {x: 1, y: 1, b: 3, z: 6, j: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-18))\/((128\/18)\/8). Let p = 0.6 + -0.3. Let j = -1.96 + -0.04. What is the closest to p in -0.2, j, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - s + 14. Does 33 divide j(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 14\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 137 and 24558346?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/4, -1.4, -1\/4, -7.6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 112*n - 1829. Give u(20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -426505 (base 7) to base 16.\nAnswer: -12262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(8)\/(sqrt(12)\/(2*sqrt(3) + sqrt(3))))**2 + sqrt(24)\/(sqrt(108)*1).\nAnswer: sqrt(2)\/3 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*i + y + 53, -15 = -5*y. Suppose -5*o - i = 2*q + 3*q, -25 = -5*o + 2*q. Let k be 40\/o*500*-15. Round k to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 168564913754 and 32.\nAnswer: 168564913786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**2\/4 - 483*y\/2 + 233289\/4 = 0.\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -13*l**6\/15 - l**4\/6 + 4*l**3\/3 - 4*l - 3. Find the second derivative of y(g) wrt g.\nAnswer: -312*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.3 - 21.3. Let o = y + -7.4. Is -1 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10389 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3726 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12397 is divided by 2461?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1766 divided by -5\nAnswer: 1766\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-5)\/4*12\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 7:57 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 2*x - 385438, 5*f - 2*x - 240886 = -5*x. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4759 - 4162. What is the remainder when s is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -5.7\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5683*b + 10*o - 5 = 5685*b + 11*o, o - 1 = 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (-602)\/42)\/((-5)\/255)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23266100 (base 9) in base 2?\nAnswer: 101011001100001101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -28. Find the third derivative of 29*n**6 - 303 + 303 + 28*n**i wrt n.\nAnswer: 3480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2720.2025 and 158?\nAnswer: 2562.2025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -136 + -5?\nAnswer: -13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*l + 3*b, l + 3*b = -2*l + 18. Let z be 6\/l*(-15)\/(-10). Let s be (-2)\/(-4) - 5\/(-2). Solve -s = 2*x + z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3952 is divided by 104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 7*d**2 + 37*d - 181. What is i(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1595 - 586*v**3 + 1595)*(-17 - 3 - 50) as w + g*v**3 + d*v**2 + l*v and give g.\nAnswer: 41020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**2\/17 - 765650*p\/17 - 510436\/17.\nAnswer: 2*(p - 127609)*(3*p + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -300 + 300. Suppose 7*a = 9*a - 2*h + 44, -4*a - 4*h - 64 = i. Is a <= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 44510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/362 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.369 rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 909129 to the power of 1\/2, to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -936 - -11267\/12. What is the common denominator of -37\/184 and y?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18040368.\nAnswer: 2, 3, 375841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + n - 51. Let k be t(0). Let b = 90 + k. Suppose 2*h = v + 3*h - 15, -v - 4*h + 18 = 0. Calculate the remainder when b is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -5\/9*i**3 + 1\/45*i**5 + 32*i**2 - 1\/4*i**4 + 0*i + 0. Factor h(d).\nAnswer: 2*(d - 5)*(2*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*h + 2*h + 8, 8 = 4*h - 4*z. Let d(k) = -k**3 - 6*k**2 + 17*k + 45. Let j be d(-7). What is the nearest to 0.3 in h, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/7)\/(11\/(-154)). Factor 11 + 6*p + 3*p**3 - p - 38 + 15*p**2 + r*p.\nAnswer: 3*(p - 1)*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 6) to base 13.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 3*f - 36. Let z be v(8). Let b = 123 - z. Let t be (-4)\/20*(-85)\/b. Which is smaller: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*i - 147*i - 3159 = -656. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.136 + -5.96667778\nAnswer: -12.10267778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 + 23318*h**2\/3 + 93260*h\/3 + 93256\/3.\nAnswer: (h + 2)**2*(h + 23314)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/3, 0.1, 45 in increasing order.\nAnswer: -1, -1\/3, 0.1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 7:45 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 5:31 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 197048*n - 33695204. Give a(171).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 145*j - 2025. Let o be n(14). Solve 2*w - 5*u = 9, -47*w + 52*w = -5*u + o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -1bb?\nAnswer: -1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13481 + -6981?\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4829674.\nAnswer: 2, 43, 89, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u**2 + 9*u - 892. Give h(0).\nAnswer: -892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1, 4, 0.08?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 49.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/6 (b) -2893 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20708\/93)\/((-4)\/6). Let r = q + 339. Solve 0 = r*x, -5*g = -3*g - 4*x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8418 + 22548 = 471*o for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyhhyyy. What is prob of picking 1 y and 1 h?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*j + 329*j + 4730 = -32*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6350 - 6289. Let u = 2.5 + 56.5. Let r = u - q. What is the nearest to -1\/3 in 0.2, -4, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kknknnkuuunnun. What is prob of picking 1 u and 2 k?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100760 - 70029. Suppose -5*o + 4*k + 31520 = 0, 4*o - k - x = -5526. What is o rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 25923.7 and -0.538.\nAnswer: 25923.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njnnnjj. What is prob of sequence jnn?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 963 = -3*c. List the prime factors of c.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 4\/(-5))\/(32\/(-240)). What is the highest common factor of 15 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2023683 divided by -674561.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 3*z = 1, -5*v + 5*z - 524 + 559 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 7 + 4 = 0, -3 = -3*k + 3*s. Which is the nearest to -0.2? (a) 0 (b) k (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1320 and 1056?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.3+-471525674859\nAnswer: -471525674857.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 14. Let f be 13 - (-5)\/((-5)\/k). Is f\/(-25) + (-794)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6872365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 68199 + 158369 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175009363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1068 = 5*t + v - 4458, -678 = -t - v. Calculate the remainder when t is divided by 65.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jss when three letters picked without replacement from {j: 9, s: 3, z: 1, k: 5}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26996, -27840, -30134, -34604, -41976, -52976?\nAnswer: -68330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhehhhhehhh. What is prob of picking 2 e and 1 h?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 5:29 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 610514 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6274*k + 3494*k + 761*k.\nAnswer: 10529*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -16, -2, 12?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 11*s - 38 - 39 + 3*s + 6. What is the remainder when 35 is divided by q(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.2, -2\/5, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaajaaaajj. Give prob of picking 2 j.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -16. Let m(n) = -n**2 + 20*n - 18. What is the units digit of m(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**5 - 40*i**4 + 100*i**3 - 80*i**2.\nAnswer: 5*i**2*(i - 4)*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 4*g**2 - g - 3. Suppose 3*j + 18 = 2*m - 0*j, -3*m - 3 = 3*j. What is the units digit of q(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -539907, -539906, -539905, -539904?\nAnswer: -539903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**6\/120 + 13*q**5\/60 + 7*q**3\/6 + 5*q**2 - 7*q. Calculate k(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2260451\/54 - 41858. Calculate the common denominator of m and 23\/150.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, t: 1, m: 2, w: 1, o: 2, l: 1}. Give prob of picking 1 l, 1 g, and 1 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(27) - (sqrt(27) + -1*sqrt(27))).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 13, 0.3, 8486, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, x: 3}. What is prob of sequence xxf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**5\/35 - 2*i**4\/21 + 2*i**3\/21 + 4*i**2\/7 + 5*i - 1. Let j(v) be the first derivative of x(v). Factor j(k).\nAnswer: -4*(k - 1)*(k + 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269, -841, -1715, -2891, -4369?\nAnswer: -6149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 195.96939 months?\nAnswer: 0.0163307825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*h**2 - a**2*h*w**3 - 27*a**2*h*w**2 - a*h**2*w**3 - 12*a*h*w**3 - h**2*w**2 - 3*h**2 wrt a.\nAnswer: 2*h**2 - 2*h*w**3 - 54*h*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 - 24 = -4*b, k - b + 3 = 0. Solve -4 + 2 = -k*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202651784 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8627 - -8625. Which is the second biggest value? (a) -51 (b) 0.2 (c) 2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/22 and -79\/130?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -z - 5*g, -10965*z - 6*g = -10968*z + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Let s be 0 - (732\/x + 0). Let l = s + 617. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21924 divided by -3.\nAnswer: -7308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -83?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 55*k + 274. Calculate l(-60).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16\/5 + 58\/15. Let c be 6\/21*(-7 + -7). Put c, 0.4, j, 0.7 in descending order.\nAnswer: 0.7, j, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 322 by 2.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - sqrt(336)\/sqrt(6))\/sqrt(8) - sqrt(784)\/sqrt(7).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -5*u - 5*j - 28, -2*u - 22 = 5*j. Let x(d) = d**3 + 6*d**2 - 10*d - 21. Calculate the remainder when x(u) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -573 - -324. Let m = -243 - g. Let r(y) be the first derivative of -y**2\/2 - y + 1. What is r(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2. Let v(l) = -3*l - 7. Let k be v(-7). Let u(q) = -11*q - k*q + 32*q - 13*q. Calculate u(w(n)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 8:56 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102908 is divided by 1371?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, i: 2, u: 3}. Give prob of sequence xxu.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41614375*m**2 + 53977834 wrt m?\nAnswer: 83228750*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 53*j**4\/12 - 4*j + 44. Let o(v) = 22*v. Calculate n(o(z)).\nAnswer: 25652*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = 4*p - 60, p + 33 - 32 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 264b2 - -1b6?\nAnswer: 266a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h*k**5 + 144*h*k**2 - 5304*h*k + 335924*k**5 wrt k.\nAnswer: -180*h*k**2 + 20155440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 divided by -21?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w - w**2 - 4*w + 3*w**2 - 3*w**2 - w**2 + (1 - 1 + 2*w**2)*(2 + 1 - 4) - w**2 + 0*w**2 + 3*w**2 - 4*w**2 + w + 7 + 4*w**2 - w**2.\nAnswer: -3*w**2 + w + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -361 divided by -193\nAnswer: 361\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a week in seconds?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -204 - -1838\/9. Which is the closest to -0.1? (a) -3 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {c: 1, q: 1, z: 5, l: 4, g: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 12*l**3 + 33*l**3 + 3.\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**2 - 2*i**2 + 6*i**2)*(i - i + 3*i**2) + 3 + 8*i**4 - 3*i**4 - 1.\nAnswer: -i**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 10*v**2 + 1\/2*v**5 + 0 - 20\/3*v**3 - 1\/6*v**6 + 5\/4*v**4 + 37*v. Let k(s) = 0. What is s?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e61 (base 16) in base 5?\nAnswer: -1002334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -12*m + 0*m**2 - 46 + 0*m**3 - 33\/4*m**4. Differentiate q(h) wrt h.\nAnswer: -99*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*d + 316248 = -95*d. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 11*d**2 + 0 + 0.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**3 + 87*j**2 - j - 35. Determine r(-29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 48737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -26. Let s = 58.1 + -34.5. Let o = s + r. What is o rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*k = -77*k + 8057 - 1523 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 207654175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -144 less than or equal to -3823\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175698, -351398, -527098, -702798, -878498?\nAnswer: -1054198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -5, -2\/55 in descending order.\nAnswer: -2\/55, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2450400 and 550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u - 6 + 6)*(4 - 2*u - 4) - 15*u + 15*u + 3*u**2 in the form m*u**2 + h*u + a and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109774.8922055 - 16867.7532063. Let c = r + -92870.139. Let t = c + -37. Round t to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**3 + 6*b**2 - 10*b + 2. Let k(g) = 6*g**3 - 5*g**2 + 9*g - 2. What is 5*c(a) + 6*k(a)?\nAnswer: a**3 + 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 19. Let q be p(-13). Let x be (-30)\/q*3\/(-2). Let s(c) = 12*c**2 + c + 1. Determine s(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1064 and 126.\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 2 e when four letters picked without replacement from evetzeteztt.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/10)\/d*d*(d*(d\/((d**(-31)*d)\/d))\/d*d*d)\/d)\/(d**(-25)\/(d**(-23)*d*d)) assuming d is positive.\nAnswer: d**(369\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11*z**2 + 2*z - 3. Let k be 2 + -1 + -1 - -2. Let a be q(k). Let v = a - 11. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -11. Let r = n - -10. Suppose -d - r*d = -56. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 7:54 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7599 and 31737?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4 - 255*c**3\/2 + 185*c**2\/2 + 255*c\/2 - 189\/2 = 0.\nAnswer: -1, 3\/4, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -10. Let j(b) = -b + 1. Let d be j(k). Let y be (d\/(-5))\/((-18)\/(-45)). Solve -6*f = q - 3*f + 17, 2*q - f = y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-12) + 9\/(-2). Suppose -3*g + g = 10. Put g, r, 0, 2 in ascending order.\nAnswer: g, r, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 300913911?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v**3 - 9*v**2 - 4*v. Let g(s) = -13*s**3 - 19*s**2 - 9*s. What is 9*f(c) - 4*g(c)?\nAnswer: -2*c**3 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -0.5, -3\/5, 1\/2, 2112?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35675?\nAnswer: 5, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**5\/120 - m**4\/12 + 131*m**3\/6 - 32*m**2. Let u(o) be the first derivative of h(o). Calculate u(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/199 and 105\/3286?\nAnswer: 653914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12557534.\nAnswer: 2, 11, 257, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 373 + -371. Solve 4*y + i*l + 4 = 0, 3*y - 7 + 1 = 3*l for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 775, 9, -92 in descending order.\nAnswer: 775, 9, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40.5 + -67. Let n = -12 - r. What is n rounded to zero decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -x - c, 3461*c - 3462*c = 2*x - 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-152)\/16*6\/4 and 12510\/1040 + (-2)\/13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 6*f**2 + f + 3. Let u be 1 + 2\/2 - 8. Let k be x(u). Is (-402)\/(-18) - (-1)\/k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 60 = -4*n + 4*l, -4*n - l = 69. Let c be n - -18 - -1*3. Solve 0 = -c*a - 18 - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.237857 less than 503056133?\nAnswer: 503056133.237857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**3\/7 - 46476*m**2\/7 + 27143289*m - 76363345350\/7 = 0. Calculate m.\nAnswer: 450, 7521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.36 - 0.06. Let f be (12\/(-63))\/((-1)\/(-3)). What is the biggest value in f, g, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -76*c**3 - 95*c**2 - 95*c. Let s(j) = -j**3 - j**2 - j. Determine -l(w) + 95*s(w).\nAnswer: -19*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 746308036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-28)*(-72)\/108. Is i <= 8\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31557259778.91 minus -0.4?\nAnswer: -31557259778.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g + 4 - 10*g - 4. Let v(t) = 7*t. Give -6*l(o) - 13*v(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1831634 - -10295614. Suppose 26874684 - i = -4*n. Let h = n + 3082676. What is h rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 9 - 49 = -4*i, 5*i + 3*x = 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/236 (b) 5\/7 (c) 2 (d) 0.5 (e) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 5:53 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 4\/(-8) - 2\/(-4). Suppose -6 = -x*f, 5*h - 3*f + f - 401 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -22. Solve 2*y - 6 = -4*o - 0*y, w*o - 11 = 3*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (3 + 5)) + 8 + 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -131*n + 273. Let l be z(2). Solve 0*i - i - l = 4*k, 3*k = 2*i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 5*m - 22. Let k be ((-1)\/4)\/(25\/300)*-1. Calculate q(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*j**2 - 55*j**2 - 2 + 2.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, 2, 0, -4, -7 in ascending order.\nAnswer: -7, -4, -1, 0, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by (-1364)\/(-110) - 3\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 1. Let w(v) = v**2. Let r(h) = 5*h**2 + 6*h - 3. Let c(z) = r(z) - 3*w(z). Let j(p) = c(p) - 6*f(p). Differentiate j(b) with respect to b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*41.\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*d - 10 + 5 + 8*d + (2*d + 72 - 72)*(3 + 10 + 10).\nAnswer: 44*d - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4036146 and 20376.\nAnswer: 48433752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 5)*4\/(-3). Let z(i) = -i**2 + 16*i - 32. List the prime factors of z(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(11\/2))*j)**(21\/5)\/((j**21*j)\/(j*j**(-15))) assuming j is positive.\nAnswer: j**(-87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 894 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 476604 + -4994.\nAnswer: 471610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9))**(-33)\/(o**0)**(-2\/93)*(o**3*o*o*o\/(o*o**11)*o*o)**(-3\/35) assuming o is positive.\nAnswer: o**(806\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44128 and 336896?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5636 + -5636. Solve -170*n + 166*n + 20 = i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**4\/24 + n**3\/3 - 3*n**2. Let q be r(-3). Suppose 0 = -q*h - 35263 - 5737. What is h rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -672 and -672 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 5, -1\/59, 1\/6 in descending order.\nAnswer: 5, 1\/6, -1\/59, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**3\/3 + 188*s**2\/3 - 288*s + 336 = 0 for s.\nAnswer: 2, 3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4 - 1 - (-79)\/2. Factor -16*n**3 + 80*n - 2*n**3 - 3*n**3 + 2 - c*n**2 - 97*n.\nAnswer: -(n + 1)**2*(21*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.47 to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 9*t + 6*t + 14, -5*i - 13 = -2*t. Which is the closest to 1\/2? (a) i (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2789 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 14*g = -21. Let v(c) = -c**3 + 7*c**2 - 6*c + 6. Let k(z) = z**3 - 8*z**2 + 7*z - 7. Calculate g*v(u) - 6*k(u).\nAnswer: u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4806 - -4816. Solve 22*y + 84 = f*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**6\/360 - t**4\/8 - t**3 + 2. Let b(i) be the third derivative of q(i). Find the first derivative of b(y) wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-14))\/((-17)\/((-1275)\/5)) + 2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or 223659?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 5*w**2 + w**2)*(38 - 14*w - 38) + 10*w**3 - 39*w + 39*w.\nAnswer: 66*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 3:33 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-36)\/(-20))\/((-6)\/(-30)). Suppose 1029 = -2*h + d*h. Suppose -37*u + 34*u = -h. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 783486603 to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**4\/2 + p**3\/3 - 90*p**2 + 185*p. What is the second derivative of c(q) wrt q?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 354 - 353.73. What is the smallest value in 0, k, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/(3\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.357 + -0.007. Let m = 0.15 + y. What is the nearest to -0.1 in m, 1, -30?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 9 + 11)*((0 - 2 + 3)*(3*o + 0*o + 0*o) + 2 - 2 - o)*(3 - 13 + 0) as y + j*o and give j.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.8 - 10. Let r = 1.4 + v. Let y = -14.1 + 14.1. Which is the nearest to -2? (a) y (b) -1\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*1*(sqrt(245) + sqrt(245)*1 + sqrt(245)))**2 + 4*-4*(sqrt(15)\/sqrt(3))**2*6*-2.\nAnswer: 420*sqrt(5) + 9805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 17. Let o(d) = 3*d**2 + 2*d - 1. Let z be o(b). Suppose -3*l - l - 84 = -z*t, 4*l = -3*t + 42. Solve t = -4*a + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 * -0.53\nAnswer: -63.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -20*w. Let q = 93 + -34. Let b(i) = 28*i - q*i - 3*i**2 + 31*i. Determine m(b(j)).\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 320273711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 98770?\nAnswer: -98770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o. Let g(l) be the second derivative of -7*l**3\/3 + 4*l - 5. Give g(p(v)).\nAnswer: 56*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 14 = 11*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2793, -2791, -2789?\nAnswer: -2787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/24*-2*(-2 + 2). Solve 4*r + 4 + h = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f - 15. Let m(o) = -8*o + 42. Give -6*m(d) - 17*v(d).\nAnswer: -3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -77, 0.02, -1.\nAnswer: -77, -4, -3, -1, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31978.51 millennia to centuries.\nAnswer: 319785.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/6 - 326*y\/3 + 53138\/3 = 0.\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69*x**3 + 176*x**2.\nAnswer: -414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Suppose -44*r = -32*r - 36. Sort r, 1, i.\nAnswer: 1, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-1))\/3*(-5)\/(-10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 6*q**2 + 5*q + 6. Let y be k(5). Suppose -3*a = -y*a - 51. Let b = 63 + a. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -39*z**5 - 5*z**4 - 34*z**2 - 5*z - 5. Let k(y) = y**5 - y**4 + y**2 - y - 1. Let g(r) = -d(r) + 5*k(r). What is the third derivative of g(x) wrt x?\nAnswer: 2640*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 - 114*s**2 - 56*s + 59. Is 8 a factor of c(-57)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53797 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 10.3?\nAnswer: 20.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*r**4 - 136*r**2 + 0 + 21*r**3 + 0 + 47*r**4 - 570*r**2 wrt r.\nAnswer: 288*r + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4772632*a**3*h**4 + 3*a**3*h - 2*a**2*h + a**2 + a - 10*h**5 + 382780*h - 3 wrt h.\nAnswer: 57271584*a**3*h**2 - 200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + -101. What is the common denominator of 7 + -7 - (-166)\/4 and (3\/c)\/((-4)\/210)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1322 (base 7) in base 10?\nAnswer: -506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 227 - 211. Calculate the remainder when d is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1087 and -49?\nAnswer: -53263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6380933, -6380935, -6380937, -6380939?\n\"Answer: -2*t - 6380931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Suppose 4 = 2*u + w + 4*w, -u = -5*w - 17. Sort p, u, -2 in decreasing order.\nAnswer: u, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605968?\nAnswer: 2, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -2a33?\nAnswer: -2a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 - 43 - 3*i + 14078*i**2 - 14438*i**2 in the form u + p*i + x*i**2 and give x.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 1\/7932669362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122774523*l**2 - 32301153*l wrt l.\nAnswer: -245549046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(1 + (-15)\/12). Let b be h\/8 - 24\/(-2). Differentiate 2 - 3*c**4 - 14*c**2 + b*c**2 with respect to c.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 587 + -502. Let t(f) = 70*f**3 - 95*f**2 - 70*f + 265. Let h(q) = 5*q**3 - 7*q**2 - 5*q + 19. Let i(m) = b*h(m) - 6*t(m). Let i(z) = 0. Calculate z.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 54500, 109207, 163912, 218615, 273316, 328015?\n\"Answer: -u**2 + 54710*u - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a - 1. Let k(z) = 2*z + 14. Let d be k(-7). Suppose 8 = -j - 2*v - 3, 3*j - 5*v - 22 = d. Let w(x) = x. What is j*o(c) - 5*w(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -741. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h**3 + 7. Let z(a) = 2*a**2 + 3*a + 1. Let l be z(-2). Let n be (9 - l) + 2 + -1. Let k(p) = 5*p**3 + 6. Give n*k(q) - 6*d(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4604, 4594, 4584, 4574, 4564?\nAnswer: 4554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -214*u**4 + 6*u**3 - 228*u + 2. Let x(f) = 213*f**4 - 8*f**3 + 228*f - 2. Let j(w) = 4*a(w) + 3*x(w). Find the second derivative of j(n) wrt n.\nAnswer: -2604*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 = -2*t. Let i be 11\/4 + t\/8. Suppose 5*o - 6 = 2*o, 0 = -4*s + 2*o + 8. Solve s*u = i*m, 5*m = -u + 4*m - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 353991 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 17 = 3. Suppose f - 3*i - 34 = -0*f, 0 = -s*i - 8. Suppose -3*q = 0, 2*q = j + q - 10. Calculate the remainder when f is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 2300301302?\nAnswer: -2300301302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 955861, 1911724, 2867587, 3823450?\nAnswer: 4779313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 834222994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 54?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002061 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h**3 + 7*h - 6. Let c be u(1). What is the nearest to 1\/4 in -3, -1\/6, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 215837\/17620 + 2\/4405. What is the common denominator of -33\/10 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 80 = 150*d - 147*d, -5*d - 2*g = -115. Calculate the highest common divisor of 775 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**6\/120 - 2*m**5\/15 + 7*m**4\/24 + 5*m**3\/3 + m**2. Is 14 a factor of z(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6426 by 12061.\nAnswer: -918\/1723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 57744629.5 to the nearest one million.\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 676210 to the power of 1\/2, to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 788334 and 762438?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-106)\/(-13) - 30\/195. Let r be (-63)\/14*g\/(-12). Solve -r*q - 2*p - 2 = 2*p, -3*q = 3*p + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409*d**2 + 3*d**3 - 817*d**2 + 408*d**2 + 2*d**3 + 137.\nAnswer: 5*d**3 + 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0 + 4 = 0. Let t be 5\/(3 - k\/8). Calculate the remainder when 43 is divided by 0\/(-4 + t) + 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -220 - ee9a?\nAnswer: -101ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -225223 (base 16) to base 12\nAnswer: -905797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23286 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/480*4)\/(4\/30). Which is the nearest to x? (a) 1\/4 (b) 4\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 0.13 (b) -72 (c) -4 (d) 1 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 91938\nAnswer: -91936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 - 5*f - 2. Let s be x(4). Let c = -30 + s. Let y(n) = -n**2 - 3*n + 4. Calculate y(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8832155, -8832154, -8832153, -8832152, -8832151, -8832150?\nAnswer: -8832149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 7*u - 7. Let m(j) = -j**2 - 3*j - 3. Suppose -92 + 52 = -t. Suppose 14*g = 6*g + t. Give g*m(n) - 2*k(n).\nAnswer: -n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-10))\/(-1)*5. Let l(h) = -3*h**2 - 8*h - 3. Let c be l(-3). Let z be r\/c - 176\/(-6). What is the highest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uluu when four letters picked without replacement from {l: 5, u: 15}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8346, 16662, 24960, 33234, 41478, 49686, 57852, 65970?\n\"Answer: -j**3 - 3*j**2 + 8332*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56135173649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b + 9*z + 54 = 6*z - 150, 0 = 4*b - 3*z - 42 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-8 + 105\/10) + 6. Let b(m) = 6*m**2 - 21*m. Let u(d) = -4*d**2 + 4*d. Let i(y) = -y**2. Let a(z) = -3*i(z) + u(z). Calculate f*b(k) + 21*a(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 - 110 + 169*n**3 + 163*n**3 - 137*n**3 - 14*n**3.\nAnswer: 181*n**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and -2 - (8\/10)\/(6\/(-90)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37287\/5 - 7457. Solve 2\/5*s**2 + a*s - 4\/5 = 0 for s.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -521*t**6\/60 - 73*t**4 - 20*t**2 + 3*t. Find the second derivative of h(n) wrt n.\nAnswer: -6252*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.1 minus 8?\nAnswer: 14.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2362 divided by 19\nAnswer: -2362\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:08 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1905530 = -361*t + 5467517. Does 121 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -650664 or -650706?\nAnswer: -650706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -4. Let c(f) = 2*f + 9. Let w be c(-5). Let a be (0 - w)*5\/((-10)\/(-38)). Solve -g = 5*j + a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s - 1 - 8 + 9 + 5. Let p(z) = z. Let c(v) = -30*v - 3. Let x(u) = -2*c(u) - 66*p(u). Let q(r) = -5*a(r) + 4*x(r). Give q(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/39)*p**(-4\/7) assuming p is positive.\nAnswer: p**(-170\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 19. Let l = -4 - f. Which is the biggest value? (a) -4 (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/3)\/(10\/(-165)). Let u = -11 - y. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**5\/4 + 4*s**4 + 152*s**3 + 960*s**2 + 1728*s = 0?\nAnswer: -12, -4, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(200) + 0)*-4 + -2))**2.\nAnswer: 4000*sqrt(2) + 80100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 26*s - 6. Give r(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -12. Is 14 a factor of (-55)\/j + -3 - (-505)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m - m**2)*(1695*m - 613*m + 823*m + 480*m).\nAnswer: -2385*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8578, -16745, -24912, -33079?\n\"Answer: -8167*z - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74706 divided by -6.\nAnswer: -12451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efof when four letters picked without replacement from fffffffeeoeenmm.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 169*r + 71480. Calculate h(-423).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102235358.\nAnswer: 2, 51117679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 6*b - 13. Let p be o(-7). Let h = p - -2. Let x(u) = -3*u. Let q(z) = -4*z. Let n(a) = 5*q(a) - 7*x(a). Calculate n(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/4)\/(c\/c**(1\/2)))\/(c**(-8\/11)\/(c*c**(-43)*c)) assuming c is positive.\nAnswer: c**(-1827\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240223058 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 335*t - 2 - 677*t + 4 - 2. Let d(b) = -3*b**2. Calculate d(f(p)).\nAnswer: -350892*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 709*i**5 + 234*i**2 wrt i?\nAnswer: 42540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*q**3 - 48*q + 116?\nAnswer: 9*q**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -450935626 and 0.6.\nAnswer: -450935625.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -378877, -378870, -378857, -378838?\n\"Answer: 3*y**2 - 2*y - 378878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3\/3 - 1760*y**2\/3 - 1926400*y\/3 - 313600000\/3.\nAnswer: 4*(y - 1000)*(y + 280)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -666 - 549 + 17*m + 22*m + 1215.\nAnswer: 39*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 661.86 and 14?\nAnswer: 9266.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35443, 70659, 105877, 141097?\n\"Answer: m**2 + 35213*m + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 33 + 22. Let y = 11 + l. Suppose 0 = -2*c + 2*o + y, 34 = 5*c - 3*c - 5*o. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at most 542151198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107719 by 107719.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273616 is divided by 5582.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-44)\/(-40) - 1) + (-2)\/20. Which is greater: q or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 16 (b) -5 (c) -4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/54? (a) 2\/9 (b) -0.5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -227.31 + 227.2. Put -2\/17, -0.3, -2\/15, p in decreasing order.\nAnswer: p, -2\/17, -2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 5*o**2 + o - 1. Suppose 3*p = 2*p + 5. Let b be q(p). Suppose -r + 0*r = 0, -t + b*r = -28. Calculate the remainder when t is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (0 - -2 - 3)\/(3\/(-159))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r + 7. Calculate k(23).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 + 5*g + 6. Let l be j(5). Let u = l - -13. Find the common denominator of 34\/14 - 3\/u and 145\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 20. Determine h(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 2:22 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18541, -37076, -55611, -74146, -92681, -111216?\nAnswer: -129751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 21. Let y be (1 - 7)*-2*(-3)\/b. What is the nearest to 2\/7 in 3, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 32*j**2 - 239*j - 5. What is x(20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/11 (b) 0 (c) -1\/2 (d) -2\/3 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-7 - -4) + 2 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l = -210. What are the prime factors of l?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 37*y = 29*y + 48, 24 = -5*q + y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 1, -25, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -6) + (-1 - -1). Solve 5*u - 2*n - 19 = 0, -h*u + 0*n + 2*n = -9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3964400 to the nearest 100000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**6*c**(6\/5))\/(c*c**(-2\/17)*c*c\/(c\/c**(-7))) assuming c is positive.\nAnswer: c**(1217\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 635 - 635. What is the nearest to i in -0.7, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 562490 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/5 + 3 - -2. Which is the biggest value? (a) -2\/3 (b) 2\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 5:09 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -20\/3, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**3\/5 + 3*o**2\/5 + 12*o\/5 - 12\/5 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49.88 + 0.12. Let s = t + -27. Let h = s - 21.2. Round h to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and -0.11108.\nAnswer: 2.2216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 164*m + 60*m + 45*m + 2935 = 0, 5*n - 2*m - 9 = -94 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44858136 and 52.\nAnswer: 583155768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -206, -304, -400, -494, -586, -676?\nAnswer: -764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 + 0 = 2*g, -t = -2*g - 11. Let m be (2 - g) + 33\/(-7). Which is the smallest value? (a) -5 (b) m (c) -3\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49400 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -4. Let u = a + 3. Let d = -6 + u. What is the third smallest value in -6, -0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z - 32*z = 40 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzomddz. Give prob of picking 2 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -13*k - 3. Let z(f) = -4*f + 1. Let l(d) = -w(d) - 5*z(d). Determine l(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 10*w + 39. What are the prime factors of r(17)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17, 36, 85, 176, 321?\n\"Answer: 2*a**3 + 3*a**2 - 4*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i + 5. Let u(f) = -f + 1. Let d(l) = -p(l) - 2*u(l). Let y be d(-6). Let t = -223\/4 + 56. Is y equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 10*b**2 - 40*b - 90. Let p(w) = 2*w**2 - 8*w - 18. Let f(r) = 3*g(r) - 16*p(r). Let y be f(5). Solve m + 12 = 4*h - m, 4*h + y = -3*m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1111001110110100?\nAnswer: 1111001110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 351.5719 less than -625?\nAnswer: -976.5719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 2*t**2 + 21*t - 7. Determine m(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2)\/(-1*(-10)\/(-15)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 8)*(75227*r**2 - 44*r**3 - 75227*r**2 + 1 + (r - r + 2*r)*(0*r**2 + r**2 + 3*r**2)).\nAnswer: -144*r**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -514\/13, -0.1 in descending order.\nAnswer: -0.1, -24, -514\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 258845*m**4 + 11*m**2 + 9*m - 466682758 wrt m?\nAnswer: 1035380*m**3 + 22*m + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 432884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 57 = 9*z. Let d = 5.4 + -5. Let k = -3.6 - d. Put k, 0, z in ascending order.\nAnswer: k, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 + 12*m. Calculate r(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 + 71*a\/3.\nAnswer: a*(a + 71)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/(-48) + (-1)\/6. Calculate the common denominator of (-1386)\/220 - 1\/(0 - 1) and 212\/(-32) + -1 + p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prk when three letters picked without replacement from {h: 3, t: 4, p: 1, k: 4, r: 1}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 k, and 1 b when three letters picked without replacement from jbbwbkwkjb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 4751696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(-2 + -5 + sqrt(684)*1)**2.\nAnswer: -504*sqrt(19) + 4395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100 + -10?\nAnswer: -1111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -519470 divided by 338.\nAnswer: -259735\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 87 - ((-18995)\/(-493) - -49)\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 34.5, 7, -10, -19, -0.1 in ascending order.\nAnswer: -19, -10, -3, -0.1, 1, 7, 34.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39399 is divided by 28573?\nAnswer: 10826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 5 - 1 + 25*n as y*n + c and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3371 and 1.\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1050185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32319 - -32314. Which is the closest to 3? (a) 8 (b) 0.5 (c) -0.1 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7487 + 7483. Let v = 1 + -4. Sort v, k, 8 in descending order.\nAnswer: 8, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 5*u - 13, 24*p - 3*u = 20*p - 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -34. Suppose z - k*f - 5 = -2*z, -3*z = f - 17. Suppose 0 = -z*l + l + 48. Solve -r - l = -5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - f. Let o(n) = -n**2 + 6*n - 2. Let t(q) = q**2 - 34*q + 92. Let l be t(31). What is l*o(y) - 2*m(y)?\nAnswer: -y**2 - 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3 + 46.637?\nAnswer: 54.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 237 + -236.92. Round h to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from {o: 7, z: 1, i: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2589*n - 64570. Determine u(25).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j + j)*(-3*j + 4*j - 4*j) + 3*j**2 + 2*j**2 - 4*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2 - 1. Suppose -5*x + 4*x = -32. What is the units digit of 984\/x - y\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4649673089?\nAnswer: 61, 1697, 44917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 374587*a**2 - 7513779*a?\nAnswer: 749174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 + -34. Calculate the highest common factor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 255904.\nAnswer: 255904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 88*c**2 + 50*c + 71. Is f(50) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + -2 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/85, 0.532, -0.2 in decreasing order.\nAnswer: 0.532, -2\/85, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 - 2*g + 306445 - 306445 + 0*g + 2*g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 83720 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 4:58 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7, 28, 75, 154, 271?\n\"Answer: u**3 + 7*u**2 - 7*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5769624 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: Let d(w) be the second derivative of -54 + 0*w**2 + 0*w**3 + 2*w - 5\/6*w**4. Let y(m) = -8*m**2. Give y(d(i)).\nAnswer: -800*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41977306*x - 99880035?\nAnswer: 41977306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -m, -4*k - 5*m = -75 + 3. Solve 0 = 45*p - k*p + 68 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(-2 + 3 + -1 + sqrt(396) + sqrt(396) + -1 + -4)*3.\nAnswer: -72*sqrt(11) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (0 - 3 - -6 - (0 + 27))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + t - 31, -2*j = -0*j + 4*t - 16. Suppose h = 4*h - j. Calculate the least common multiple of h and 6\/4*(-60)\/(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 146, 477, 1022, 1775, 2730, 3881?\n\"Answer: -u**3 + 113*u**2 - u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8*x**3 - 1928*x**2 - 386*x - 93033. Give b(-241).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**4\/4 + 2*g**3 - 11*g**2\/2 - 5*g + 7. Let i be r(-7). Let b = i + 2. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 0.2, -3, -0.1, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*-134.7.\nAnswer: -4579.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, l: 2, f: 2, j: 9}. What is prob of sequence llj?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 7*j - 2. Let y be q(7). Suppose -4*z + 8 = -0*z. Let g(x) = 4*x - 4 - x + z. Let i(a) = -13*a + 9. Determine y*i(o) - 9*g(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzgt when four letters picked without replacement from {g: 14, z: 2, t: 1}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1287 to the nearest 10.\nAnswer: -1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*x - 3 = -3*x, -3*n - 5*x = 2. Suppose 0 = b - n - 4. Suppose 0 = b*v - 2*p + 9, 4*p + 1 - 4 = -5*v. Sort -4, 2, v, 3.\nAnswer: -4, v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 4, -1847, -10 in descending order.\nAnswer: 4, 0, -3, -10, -1847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-21) - (-7)\/((-147)\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -553057 - -218057. What is l rounded to the nearest 10000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 i, and 1 m when three letters picked without replacement from qiqzvjm?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.63927747 - -3636.\nAnswer: 3630.36072253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73222?\nAnswer: 2, 31, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in -6, -0.1, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 2*n + 32, 2*n - 38*n = 8*m - 31*n + 59 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 3:11 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -11. Suppose 17 = i + c, -21*i = -16*i - 4*c - 67. Suppose i*p - 1475 = -d. Are p and 97 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-54))\/(3\/(-236310)). Let r(h) = -485*h - 17. Let k be r(9). Let o = k + b. Calculate the common denominator of o and 21\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2862640317 and -1.5026.\nAnswer: -1.7888640317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 339.640439 to the nearest integer.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 + 25*z**2 - 359*z - 45. Determine m(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000830290101 to 5 decimal places.\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1268.4189 months to years.\nAnswer: 105.701575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.58 - 0.22. Let p = 18055059.9 + -18055056.10000028. Let o = s + p. Round o to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**2*m*y + 2*i**2*m - i*m*y + 3*i*v*y - 2*i - m*y - 2*m + 10*v wrt y?\nAnswer: -2*i**2*m - i*m + 3*i*v - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59152042 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f = -27*f - 546. Calculate the remainder when f is divided by (2 + -3)\/((-2)\/30).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Let c(q) = 4*q. Suppose 4*p = -329 + 353. Calculate p*x(o) - c(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7698.7279 + -7698. Let h = f - 0.2144. What is h rounded to 2 decimal places?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.541 - 53.\nAnswer: -46.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a + 2*i + 9, -16 = a + 5*i. What is the units digit of (-1784)\/((4 + a + 1)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -20. Let f = -6.3 + 6. Let l = 11590 + -11587. Sort f, l, x in increasing order.\nAnswer: f, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8987*b - 21619*b + 12645*b.\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (4\/(-4) - 3). Suppose -w*n + 2*n = -14244753. Suppose -2755247 = -r + n. Round r to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-29)\/(-3) - 3\/(-9). What is the highest common divisor of 110 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 59 = -3*t - 13, 3*t = 5*k + 11. Calculate the remainder when 21 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 6 (b) 52 (c) -9\/7 (d) -5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2592)\/sqrt(9) + 1 - (sqrt(24)\/(sqrt(12) - 2*sqrt(12)) + -2*2*sqrt(2)))*1 + -5)**2.\nAnswer: -136*sqrt(2) + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**5 - 17395*a**3 + 17380*a**3 - 8*a**5 + 0*a**5 - 2*a**5 + a**5 + (-2*a**3 + 4 - 4)*(-4*a**2 + a**2 + 4*a**2) + a**2 - a**2 + 5*a**5.\nAnswer: -4*a**5 - 15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x - 3*z - 0, 4*z = 3*x + 1. Which is the second biggest value? (a) x (b) 3 (c) -0.06 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30144244043 - -3?\nAnswer: 30144244101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-3 + (-695)\/(-231)). Let n be (-2)\/(-7) + (r\/49)\/(-6). Suppose -m = -n*z - 0*m + 1068, -3*m + 1076 = 5*z. List the prime factors of z.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 322 + 556. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/6 + 31172\/24.\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -995?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24758103 or 24758104?\nAnswer: 24758104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -437 + 700. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-2) - 4)*1. Let x(h) = h**2 + 3*h + 2. Let r be x(-3). Is r bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(40)\/sqrt(5)) + -5*sqrt(117) + 1.\nAnswer: -14*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21036467 is divided by 45.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**3 + 5*v**2 - 3. Let d(y) = 6*y**2 - 2*y**3 - 4 + 5*y**3 + 3*y**3. Suppose -4*u = -2*r - 18, u - r = -0*u + 6. Give u*d(o) - 4*k(o).\nAnswer: -2*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -183 + -38. Let j = z - -372. What are the prime factors of j?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 383 divided by 1\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1425 - 10*n**3 + 710 + 715.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45281414 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1858 + 1858. Let i(k) be the first derivative of k**3\/3 + 2*k**2 + 91*k + 3. List the prime factors of i(b).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1205, -2437, -3681, -4937, -6205, -7485, -8777?\nAnswer: -10081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 33*f + 40. Determine p(32).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 > 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 - 2*j + 3. Let y(c) be the third derivative of c**5\/15 - c**4\/24 + c**3\/3 - 7*c**2. What is -3*v(t) + 4*y(t)?\nAnswer: t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 5240?\nAnswer: 36680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 145\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (3*3*sqrt(102))\/((sqrt(72)\/sqrt(6))\/sqrt(2)) + 4)*-2 + 3.\nAnswer: -18*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from {q: 4, u: 5, k: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3*i = 78, 626141*i + 50 = 3*x + 626143*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 3 = 2*r. Suppose 0 = -2*y + r*y - 3. Suppose g + 1 - 6 = 0. Solve 2*a = 3*j + y, -4*a + g + 9 = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + w + 0)*(-1 - 1 + 0) - 4 + 2*w + 3*w - 2*w)*(-6*w + 0*w + 5*w)*(0 + 1 + 1).\nAnswer: -2*w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 14*f - 19. Suppose -2*s + 25 = -i + 7, 0 = -2*s - 3*i + 10. What is the tens digit of z(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 17*o**3 - 2. Let w(a) = 33*a**3 - a - 5. Let z be (3 + -1)*-1*(-10)\/(-4). Let d(x) = z*q(x) + 2*w(x). What is the second derivative of d(r) wrt r?\nAnswer: -114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s + 20. Suppose 0 = -w - 7. Calculate the smallest common multiple of w\/2*8\/(-14) and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 353888 and 8.\nAnswer: 353888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17629 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 10*a - 2*w - 3956 = 0, -4*w = -8. Let d = a + 3183\/4. What is the common denominator of d and 2\/9*(-142)\/8?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -14632 by -472.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3554333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2055 and 16029?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101924024 to the power of 1\/3, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5364185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(2280\/16))\/((-1)\/3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9064717?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8282.774mm in nanometers?\nAnswer: 8282774000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 142.4\nAnswer: 142.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2 + 17 = -3*b, b + 3*q = -1. Let t be 10 - b*1\/(-2). What is the greatest common factor of t and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 698.22 to the nearest ten.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -213?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3 * 2215.\nAnswer: -5094.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*((f*f*f**0)\/f)\/f)\/f**(-8)*f**(-2\/21)*f*f**8 assuming f is positive.\nAnswer: f**(376\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1095 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 69*d. Let t(i) = 190*i + 1 - 1 - 188*i. What is b(t(h))?\nAnswer: 138*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*a + 52*a + 70. Let j(w) = 64*w - 14. Let t(c) = 21*c - 5. Calculate a*j(m) + 14*t(m).\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*s - 4, -4*a + 5*s = a - 30. Suppose -a*y = 3*h - 387, -2*h - h = 2*y - 189. Let b = y - 97. Solve -b*d + 1 - 11 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4 + 51*k**3 + 126*k**2 - 780*k + 600 = 0. What is k?\nAnswer: -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*b**3*k*l + 2*b**3*l**3 + 7*b**3*l + 3*b**2*k*l + 4*b**2*k - 2*b**2*l**2 + 2311*k*l**3 wrt l.\nAnswer: 12*b**3 + 13866*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 46 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*g + 2*g - 15, m + 21 = -3*g. Let q be ((-22)\/g)\/(1\/36). Let x be ((-6)\/(-3) - 4)*-6. What is the greatest common factor of q and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 3*z**5\/5 - z**3\/3 + 29*z**2 - 30*z. Find the first derivative of d(f) wrt f.\nAnswer: 36*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26751899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -7*o**6\/360 + 5*o**4\/24 - 7*o**3\/3 - 7. Let k(c) be the third derivative of w(c). Differentiate k(v) with respect to v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2)\/g*g**(2\/3))\/(g**(-4\/5)\/(g**(-3)\/g)))**(-17\/2) assuming g is positive.\nAnswer: g**(2057\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, -1.7, -4\/3 in increasing order.\nAnswer: -1.7, -4\/3, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 107 = -132. Let v = l + 241. Solve -v*k - 6 = 3*o - 5*k, o + k = 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10*v**2 - v - 2. Let w = 5401 - 5403. Calculate j(w).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from zuuffrhrfrr.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 210268, -2\/5, -3.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*i**2*l - 30*i**2 + 578*i - 2609*l**3 - 2 with respect to l.\nAnswer: 13*i**2 - 7827*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 16*m**2 + 13*m**2 - 26*m**2. Let u(i) = 7*i**2. Determine u(o(d)).\nAnswer: 63*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/10*20\/(-4). Let w = t - 7. Suppose -w*r + 7 = -3. What is the highest common factor of 3 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 17942 = -5*z + 22617, 0 = -u - 7*z + 20266. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 3 - 11 + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2 - 16*z + 11. Let x(h) = h**2 + 3*h - 2. Let t = -12 + 18. Let l be (-4)\/(-6) - t\/9. Suppose l = v + 2*v - 12. Determine v*j(m) + 22*x(m).\nAnswer: 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117 by -1.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(704) - (sqrt(704) + 5 + sqrt(704))))**2 - sqrt(704)) + 3.\nAnswer: 1272*sqrt(11) + 11667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25720811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0)**13*c**(2\/17)*c**(-1\/5))**35 assuming c is positive.\nAnswer: c**(7686\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u + 4. Suppose -5*d = 2*w - d - 10, -3*w = 3*d - 12. Determine l(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 1922*m**2\/9 - 496*m\/9 + 32\/9 = 0.\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8411559957 from -5.\nAnswer: 8411559952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4600 - 41350\/9. Calculate the common denominator of u and 616\/16 - (1 + -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116443 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 125 = 8*j + 9*l + 123 - 79, -3*j + 7 = -5*l for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*u + 478240 = 159*u. Does 28 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 + 45*f**3 - 16*f**3.\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/21 - 26\/63. Let t = 0.04 + 15.96. Let r = 16.5 - t. Which is the third biggest value? (a) r (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, k: 6, a: 3, n: 1, q: 5}. Give prob of sequence qw.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/2 - (-30)\/(-20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -12886.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -69556 greater than or equal to -69548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204874, 409746, 614618, 819490, 1024362, 1229234?\nAnswer: 1434106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*108.36\nAnswer: 108.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6666388?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -313 + 313. Put -1\/4, d, 5, 23 in ascending order.\nAnswer: -1\/4, d, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2071 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1047988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 436, 748, 1046, 1324, 1576?\nAnswer: 1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from {w: 1, c: 2, p: 11, h: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 10*m - 2. Let j be y(-10). Let b be j - 2\/(2\/3). Are b and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-16)*(-6)\/(-9).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 7*z - 2. Let h be d(7). Let y be 37 - (-2 - (-18)\/3). Let f be (y\/(-55))\/(3 + -2). What is the third biggest value in f, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11\/8 - 3\/2. Put 6, z, -5 in decreasing order.\nAnswer: 6, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 p when four letters picked without replacement from xggpgxppqxg.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.128771 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 21*a = -19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1195 = -2*w, 0 = -5*a - 3*w + 669 + 1322. Calculate the remainder when a is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 4) in base 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*v - 2*v**3 - 12*v - 6*v**3 + 3*v wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190939657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5315 - -27181?\nAnswer: 21a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.7 + -3.2. Which is the third biggest value? (a) 0.4 (b) -1 (c) p (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/6)\/((-2)\/33). Let x be 56\/(-1638)*-1313 + 1\/9. Do i and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -21, -29, -51, -93?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42453.7l to millilitres.\nAnswer: 42453700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2364, -4598, -6832, -9066?\n\"Answer: -2234*y - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cctt when four letters picked without replacement from {c: 15, t: 4}?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-2) + -5 + 1. Let n be (-20)\/290 - 33354\/(-58). What is the remainder when n\/20 + m\/(-16) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-204))\/((1100\/16)\/55)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/304172 and -53\/6913.\nAnswer: 304172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 45. Sort s, -14, -5.\nAnswer: -14, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.219, -0.1, -2, 0?\nAnswer: -0.219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + -3 + 54\/6. Find the third derivative of -10*z**6 - w*z**3 + 612*z**5 - 2*z**2 + 13 - 612*z**5 - 11*z**6 wrt z.\nAnswer: -2520*z**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 4. Let y be (-15)\/13 - (-10)\/65. Put 2, y, u in descending order.\nAnswer: 2, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (62\/186)\/(-2*2\/(-24)). Solve -5*d + 8 = s, -s + 4*s - 7 = i*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 4*f + 41. Does 9 divide z(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 835 and 67956809?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 230784 at least as big as 230785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -68?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**6 + 168*b**5 - 176*b**5 + 490 - 490 - 1227*b**2 wrt b.\nAnswer: 360*b**3 - 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1681\/13, 1, -0.1 in decreasing order.\nAnswer: 1681\/13, 3, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 12:11 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*10939.\nAnswer: 1093.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 9:08 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**7\/420 + n**5\/60 + 14*n**3\/3 - 20*n**2. Let v(z) be the first derivative of d(z). Factor v(c).\nAnswer: -2*c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -9*s - 4. Let n(u) = 2*u + 1. Let j(p) = -h(p) - 4*n(p). Let m(b) = 13*b + 3. What is j(m(y))?\nAnswer: 13*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17096 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * 5.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/10950 and -123\/616850.\nAnswer: 1850550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*v - 0*v - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z. Let m = 5 - 2. Let p(w) = 13*w**3 - 8*w**m - 10 - 2*w**3 - 3*w - w. Let s(r) = 4*d(r) + p(r). Find the first derivative of s(h) wrt h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/15 and -38\/295979061?\nAnswer: 1479895305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k + 127. Let q be i(-19). Does 3 divide 4\/q - (-18354)\/126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*v - 24*v - 222 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16386.27 and 99509641.\nAnswer: 99493254.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 117\/44*n**4 + 1\/220*n**6 + 0*n + 88*n**2 + 0 + 338\/11*n**3 - 12\/55*n**5. Factor l(g).\nAnswer: 6*(g - 13)**2*(g + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1537 times 0.2?\nAnswer: -307.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5428 - 1\nAnswer: -5429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.26 - -0.26. Which is the nearest to f? (a) 0 (b) 2 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.686671 litres?\nAnswer: 8686.671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*c + 2*q + 225, 73*c + 3*q = 77*c + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehehleeeuhezhhuuhhe. Give prob of sequence eleh.\nAnswer: 49\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*s + 3 = -3, h + 2*s = 10. Let y(j) = j - 3. Let v be y(h). What is the derivative of -6 - v*m**4 - 9*m + 9*m wrt m?\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + u = 15, m = -4*m - 3*u + 21. Suppose m*l = 3*l + 135. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -6 + 2 - (-1 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*5\/25)\/((-4)\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 21*r**2 - 51*r - 45. List the prime factors of g(25).\nAnswer: 3, 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2057\/84542?\nAnswer: -2057\/84542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 3, 0.051?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 14*y - 9 + y**3 + 5 + 16 + 8*y**2. Let c be f(-6). Let g be -1 - (0 - -1)\/(-4). Sort 0.08, c, g.\nAnswer: g, c, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.39 (b) -32\/157 (c) -1\/40 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from pjjpppppjjjpv.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) -4 (c) 4\/372295\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -22 - (-1 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - 4. Let z = y + 27. What is the greatest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 g when four letters picked without replacement from {k: 7, g: 3, p: 4}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*h - 3*l, 3*l = -h - 2*l + 21. Let b be (-1012)\/10*5\/h. Let g = b - 304. What is g rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -115, -186, -305, -472, -687?\n\"Answer: -24*x**2 + x - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + -2*sqrt(245) + sqrt(245) + -2 + -3))**2.\nAnswer: 2450*sqrt(5) + 7350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 14. Let w be b(12). What is the third derivative of -2*t**5 - w*t**5 + 5*t**2 + 6*t**5 wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-5 + 19) - (-21 - -8 - -10).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*s**2 + 12*s**4 + 29*s**2 + s + 4 + 34*s**2 - 88*s**2 + 6*s to j*s**2 + c*s**3 + t*s + g*s**4 + f and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 - 1.37. Let z = y - -3.5. Put -5, z, -2 in ascending order.\nAnswer: -5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71825 divided by 5?\nAnswer: 14365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 6 = -3*a, a - 4 = 5*t + 2. Let w = -111 - a. Let s be (1\/2)\/((-2)\/w). What is the highest common factor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 6. Determine p(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/2 of a micrometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -52b + 1b?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i**5 - 26859375*i**4 + 127581695*i**3 - 154440885*i**2 + 33574085*i + 20144460 = 0. Calculate i.\nAnswer: -1\/4, 1, 3, 1342964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -a + 60, -f - 204 = -4*a - a. Suppose 6*o = o + a. Let n(h) = -7*h**2 + 5*h**2 - o*h**2. Let q(c) = c. What is q(n(b))?\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15 - 2)\/((-1)\/2). Let t = 1573 - 1064. Suppose 11*a = 52 + t. What is the greatest common factor of l and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -65 + (342 - 321) + 4 + 3.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 4*h - 5*i, 36 = 5*h - 370*i + 363*i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126) - (-5*sqrt(126)*-1 + sqrt(126)) - sqrt(126) - sqrt(126))\/(sqrt(77)\/(sqrt(176) - sqrt(11))))\/(5*sqrt(24)\/sqrt(4)*5*-5))**2.\nAnswer: 1323\/15625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r - 8. Let u(m) = -9*m + 23. Let w(b) = -8*p(b) - 3*u(b). Determine w(-9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 4, -13, -0.293, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(6 + -5)*20*1\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1426, 1267, 7946, 20603, 41230, 71819, 114362?\nAnswer: 170851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 763*u + 158. Is 52 a factor of h(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2. Let i = -301 - -301. Let n(k) be the second derivative of 0*k**3 - 1\/4*k**4 + k + i*k**2 + 0. Give r(n(m)).\nAnswer: 27*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -33*(-1)\/(-27)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i. What is the derivative of i - 13 - 5*t**2 - t**2 - 5*t**2 wrt t?\nAnswer: -22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 2:44 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(2*i**2 + 2 - 2) - 13*i - 2*i**2 + 13*i + (-1 - 3*i + 1)*(-5*i + i + 3*i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, m: 3, n: 1, o: 1, e: 8}. Give prob of picking 1 n and 2 c.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2\/13, 5, 0.4, -18?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**4\/4 - 2*x**3 + 62*x**2 - 17*x - 251. What is the thousands digit of y(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -232\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 887030.56 to the nearest 100.\nAnswer: 887000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1323)\/sqrt(9) + -3*(sqrt(30)\/sqrt(10))**2.\nAnswer: -9 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g. Let i be j(9). Let k(y) = 2*y + 2. Let c(o) = -13*o - 18. Let x(r) = c(r) + 6*k(r). Determine x(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - j - 2*j**2 + (4*j**2 - 3*j**2 + 0*j**2)*(-1 - 1 + 0) - 6*j**2 + 4*j**2 + 11*j**2 + 2 to the form z*j**2 + b + u*j and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4728 (base 12) to base 6\nAnswer: -100452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -16*y - 72, 2*q + 4157 = -4*y + 4129 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/12)\/((-3)\/(-9) - 1). Suppose -u*h - h = -15, 3*y + 4*h - 191 = 0. Suppose 9 - y = -6*t. Solve 5 = 3*j - t*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 6:08 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**3\/3 + 4. Let x(n) = -n. Determine x(c(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/((-76)\/(-28)))\/(-6)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 48 = -3*w. What is the smallest common multiple of (w\/(-7))\/(-1) - 24\/(-84) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-6 - -1) + 5 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -3*n**2\/2 + 14*n + 4819. Let o(a) = -a + 1. What is 2*k(v) - 4*o(v)?\nAnswer: -2*v + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40117415 + 47418792625\/1182. Let f = -3\/197 + w. Find the common denominator of f and -109\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*y - 3 - 9. Suppose -5*s = -3*g + 145 + y, -3*g + s = -166. Does 24 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3 + (-1 + 3 - 4)*(-1 - 2 + 1) - 1 + 2 + 0 + 3 - 3 + 2)*(0 - 3 + 4)*(401*j - 533*j + 364*j).\nAnswer: 1392*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -4*l**5\/15 + 37*l**4\/3 - 1369*l**3\/9 + 7062. Factor r(d).\nAnswer: -d**2*(2*d - 37)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 6*q + 14. Suppose n - 36 = 7*n. Let t = 335 + -325. What is the smallest common multiple of t and c(n)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49.3 + 44. Let c = 24.3 - 23. Let g = y + c. What is the third biggest value in -1, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366177 is divided by 438?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 10*j + 4*z = 20, -25 = 3*j - 5*z. Solve -23*o + 0 - 115 = j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -43*v**2. Let s(d) be the first derivative of d**3 - 251. What is n(s(t))?\nAnswer: -387*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2934 - -2919. Sort -3, l, 0, -0.3 in descending order.\nAnswer: 0, -0.3, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(-1)\/(-2) + 2. Let w(r) be the third derivative of r**6\/120 + r**3\/6 - r**2. Let t be w(1). Is x bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*l - 16690, 17434 = -4*i - 5*l + 50832. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12387 + 37001\/3. Is -53 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121143 divided by 3.\nAnswer: -40381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -75*z - 671. Let t be q(-9). Factor -1\/5*d**3 + 4\/5*d**t + 0 - 4\/5*d**2 + 1\/5*d.\nAnswer: d*(d - 1)*(d + 1)*(4*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19943.\nAnswer: 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2213 (b) -0.1 (c) -4 (d) 1\/6 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31638 is divided by 1964?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08740059 rounded to 4 dps?\nAnswer: 0.0874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jml when three letters picked without replacement from ojohoohliomhhllo?\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -13*f**4\/66 + 476*f**3\/11 + 20*f**2 - 137*f. Let h(c) = 0. Calculate c.\nAnswer: -2\/13, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -744?\nAnswer: -4464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, h: 1, e: 3, k: 1}. Give prob of sequence kce.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 10. Let d be z(12). Let p be 1 + 1 - (0 + 0). What is the first derivative of -1 - 4*u**2 + 2*u**p + u**d wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -9*x**2\/2 - 801. Let j(z) = 10*z. What is -5*d(m) - 4*j(m)?\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 416423 = -32*t. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/49 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -105555*z + 105555*z - 74 - 2*z**2 in the form f*z + b*z**2 + o and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -3*m + 53. Let z be ((-3 - -3) + m)*181. Is -182 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103405 + -103401. Determine q, given that -4*q**o + 0 - 88\/3*q**3 + 68\/3*q**2 + 32\/3*q = 0.\nAnswer: -8, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91138261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0 = -4*u - 8, u - 11 = -3*b. Suppose 0 = -v - 3*s - b, 9 = -5*v - 3*s - 11. Sort 3, -3, v in decreasing order.\nAnswer: 3, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.388 and -5.9845.\nAnswer: -5.5965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 425, 958, 1589, 2318, 3145, 4070, 5093?\n\"Answer: 49*s**2 + 386*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-21) + 47\/7. Let l = v + -3. Solve -h - b = -7, -2*h - l*b + 3*b = -10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20\/13 (b) 74.58 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*66\/(-198)*(62\/28 - 2). Factor -2\/7*p**5 + 0*p**2 + 0 + k*p**4 + 0*p + 4\/7*p**3.\nAnswer: -2*p**3*(p - 2)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 11*q**2 - 17*q - 57. Let h = -36516 - -36504. What is p(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000011 - -100001011100111001?\nAnswer: 100001011111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express j - j + 2*j + (0 + 6 - 4)*(-2 + 2 + 2*j) + 15*j + 3 - 3 + 25*j in the form y + s*j and give s.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 864 (base 14) to base 3\nAnswer: 2021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (288\/(-128))\/(2*6\/(-32)). Suppose 10 = h*d - 2. Let c = -2.8 - -3. What is the second biggest value in d, c, 0.05?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 19 = w, 0 = -0*n + 3*n - 5*w - 17. Suppose -5*f + 10 = -5*c - 10, -3*f + c + n = 0. Solve -f*y - 2*o + o + 17 = 0, -3*o = -3*y + 21 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sspp when four letters picked without replacement from {p: 4, e: 6, m: 3, q: 4, s: 2, a: 1}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 - 3.13502082?\nAnswer: 101.86497918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 17*m**2 + 20*m + 40. Let c be w(-18). Suppose c*u = -3*u + 21. Let l(d) = -7*d + 3. Give l(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 divided by -10237399.\nAnswer: -92\/10237399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) -2\/5 (c) 10\/9 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 141 = 4*i, k = -3*k + 2*i + 600. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 224 + -116. Suppose 4*c = -8 + k. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3704, 7348, 10930, 14420, 17788, 21004, 24038, 26860?\n\"Answer: -5*u**3 - u**2 + 3682*u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2 - 676*o = 0 for o.\nAnswer: -338, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 - 720\/(-32). Let n = l + -26. Sort 2, 1, n, -1.\nAnswer: n, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w - 3*w - 1 - 3. Let h(s) = 114*s**2 + 891*s. Let n(b) = 7*b**2 + 54*b. Let o(l) = 2*h(l) - 33*n(l). What is o(k(t))?\nAnswer: -12*t**2 + 48*t - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14142124 divided by -3\nAnswer: 14142124\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 - -284\/5. Let j = 6 - 4. Suppose 0*r - 4 = j*r. Which is the smallest value? (a) r (b) o (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 84800.5l?\nAnswer: 84800500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1339 and 2050.\nAnswer: 2744950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 456 + -459. What is the closest to 4 in 4, -1\/4, 1\/3, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167894877 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 0*i**3 + 0*i - 1\/30*i**5 - 1\/504*i**7 + 1\/720*i**6 - i**2 + 0*i**4 + 0. Let o(u) be the third derivative of t(u). Give o(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 468*i**2 - 24*i**3 + 57\/2 - 459\/2*i.\nAnswer: -3*(i - 19)*(4*i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5638680, 2\/3, -3\/2 in decreasing order.\nAnswer: 2\/3, -3\/2, -5638680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -60289 to the nearest one hundred.\nAnswer: -60300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**6\/120 + j**5\/120 - j**3\/3 + 2*j**2. Let v(t) be the first derivative of q(t). Let s = 2 - 3. Determine v(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.39585 to 1 decimal place.\nAnswer: 30.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 920 divided by -40?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 10. Let c be v(-12). Suppose c - 17 = -3*o + t, -3*o - 3*t + 3 = 0. Let u be 2 - -1 - (o - 1). Solve u = -5*s + 6*s - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-9*17\/6)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {j: 1, e: 4, w: 5, s: 5, t: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.082 and -3920874?\nAnswer: 321511.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1648886 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2572 = 5*u, -3*g - 4*u + 2560 = -5*u. Suppose 0 = -2*l + g - 280. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2375 + 2419. What is the least common multiple of 88 and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**4\/24 - 25*a**3\/2 + 3*a**2. Let b(n) = n**2. Determine b(t(l)).\nAnswer: l**2 - 150*l + 5625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 20725620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1331) - (sqrt(66)*-3 - sqrt(66))\/sqrt(6))**2.\nAnswer: 30*sqrt(11) + 2476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 10*i + 13. Let p be j(11). Suppose -66 = p*d - 5*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usutgjgtxgjj. Give prob of picking 1 x, 1 g, and 1 j.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4993683cm in meters?\nAnswer: 0.004993683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = t - 4*b, 4*t - 40*b + 50 + 266 = 0 for t.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 575 + -575. Suppose 3*d = 2*i - 2198, h = -4*i - 64*d + 63*d + 4424. Does 34 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**8\/168 + 673*g**7\/210 - 97*g**5\/60 + 11*g**3\/6 - 26*g**2 + 2*g + 1. Find the third derivative of s(f) wrt f.\nAnswer: -120*f**2 + 16152*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m\/m**(-2)))**19)**(-2\/19)*((m*m**(-2)*m)\/(m\/(m\/((m\/m**(-10)*m)\/m))))**(-1\/9) assuming m is positive.\nAnswer: m**(83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 11) + 23 - ((1 - 0) + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315\/7 + (38 + -17 - 39).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q**3 + 5*q**2 - 5*q - 1. Let k(c) = 9*c**3 - 6*c**2 + 6*c + 1. Give -5*k(l) - 6*u(l).\nAnswer: 9*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1334 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*m - 4, 0 = -4*d + 5*m + 3. Let f = -7.16 + 5.434. Let w = 1.426 + f. Sort -4, d, w.\nAnswer: -4, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/154 + -3\/14. What is the third smallest value in -2, 0.5, r, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636111598.\nAnswer: 2, 23, 13828513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6019*v - 6039. Give g(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2123 + -3?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336403.\nAnswer: 336403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 12:10 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/4)*b**(-23))\/(b*b**(3\/2)*b*b*b**(-2)) assuming b is positive.\nAnswer: b**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29897*k**4 - 41*k**3 - 304*k**2 - 975*k.\nAnswer: -717528*k - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26 + 30 - 10*r - 2*r**3 - 3*r**2 + 11*r**2.\nAnswer: -2*(r - 2)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 183, 416, 709, 1038, 1379, 1708, 2001?\nAnswer: 2234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*(-15)\/60*-2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12463 + 12483. Solve s = 5*u - h, -7*s = -u - 5*s + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12301 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -250 + 248. Let i(q) = -q**3 + 2*q**2 - 2*q - 1. Determine i(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000303168 to five dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-208)*(-4134)\/(-3339)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200 + -14?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39291 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -2 (b) -1 (c) 39 (d) -0.2 (e) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1)*(-5)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 108 = 3*i, -2*v = -56353*i + 56349*i + 144 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o + 5. What is t(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*c + 3)*(-913 - 2146 + 324 - 2702)*(-4 + 1 + 1).\nAnswer: -21748*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 + 0*w**3 - 7 - w**2 - 2 - w + 11 - 2*w**4 to the form s*w + y + i*w**2 + d*w**4 + k*w**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 550.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.5 and -152.\nAnswer: -836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 26*d**3 + 0 - 19 + 6 + 7.\nAnswer: 26*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t + 3. Let i be s(-2). Suppose -17*w + 18*w = 4. Let l be i*w + 203\/29. Is l at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a - -23?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2 minus -2.0986503?\nAnswer: -2.1013497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtowk. What is prob of picking 1 k, 1 t, and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-314709)\/(-621) - (-4)\/18. Let r = -264 + n. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*z - 12, -11*j + 6*j = -2*z - 58. Solve y + 4*y + j = -h, -4*h + 5 = 5*y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-7 - -1 - -4) + -2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (26 - 20)\/(15\/20). Solve -l*k + 27 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.111386051 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w**2 + 41*w - 41*w - 2*w**2 - w**2 + 2*w**2 + (w - w + w)*(6*w - 4*w - 3*w) + w**2 - 2*w**2 - w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10332 + 20031?\nAnswer: 4144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 97*s. Suppose 0 = 14*f - 20*f + 222. Let v(c) = -11 + 2*c + f - 15 - 11. Give m(v(k)).\nAnswer: 194*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 8. Which is the closest to 0? (a) z (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 269450 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) + (-49)\/(-4). Let o(t) = t**3 + t**2 - t + 23. Let z be o(0). Let l = z - f. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -50. Let p = -51 + g. What is the nearest to 1 in -2\/3, p, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.19 + 24.71. Let n = q + 4.1. Let o = n - 34.75. Round o to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6040 is divided by 96.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-4)\/a*a*a**(-2\/3)*a**(-5\/6)\/a*a\/(a*a**(-7\/6)*a) assuming a is positive.\nAnswer: a**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10510?\nAnswer: 2, 5, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 1. Suppose 3*q = -5*t + 3, 2*q = -6*t + 3*t + 1. Let w be 2 + q + (-168)\/(-76). Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*v**5 - 4*v**3 + 1595159*v**2 + 298146948*v wrt v?\nAnswer: -140*v**3 - 24*v + 3190318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2458 - -2575. What is the highest common divisor of 99 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*a + 3 = 0, 2*y - 2*a - 3 = -1. Let u be (-2)\/(y - (-15)\/78). Let s = u + 103\/10. Find the common denominator of -41\/22 and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(40*l**2 + 516*l**2 - 120*l**2) to the form v + q*l + d*l**2 and give d.\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - -22. Put 2, 4, b in decreasing order.\nAnswer: b, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -74*x**2 - 3*x - 3. Let z(t) = -73*t**2 - 5*t - 2. Suppose -4*n + 36 = 5*n. Let b(i) = n*z(i) - 3*l(i). Find the second derivative of b(v) wrt v.\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -27?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*a + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 11 = -3*n, -2*n = b + 3 - 11. Put 5, 4, -4, b in decreasing order.\nAnswer: 5, 4, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2166 + -2165.7. Sort n, 1, -3, -1, 121 in increasing order.\nAnswer: -3, -1, n, 1, 121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*u + 9*u = -2168, -4*a - 2*u = -1750. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 4*c**2 + 7*c - 3. Give m(-5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y + 1894 = -28*y + 4*v, -v - 636 = y. Let r = y + 1578. Is r a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25510492387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -712137237 plus 3.05?\nAnswer: -712137233.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/3 - 8*r**4\/3 - 416*r**3\/3 + 6226*r**2\/3 - 16577*r\/3 - 61226\/3.\nAnswer: (r - 11)**3*(r + 2)*(r + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3136399*v**4 + 2*v**3 - 1860949*v?\nAnswer: -37636788*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*(sqrt(90)\/(sqrt(9)\/sqrt(3)) + sqrt(30) + (sqrt(270) + (sqrt(270)*-1 - sqrt(270)))\/sqrt(9))\/(4*sqrt(40) - (sqrt(1000) + 2*sqrt(1000))).\nAnswer: 2*sqrt(3)\/11 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 0 + 0 + 231*f**2 - 227*f**2. Let q(d) = 2*d. Calculate t(q(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 550 * 2.27\nAnswer: 1248.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 4, u: 1, o: 2, x: 8}. What is prob of picking 1 x and 1 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8783881, -8783949, -8784063, -8784223, -8784429?\n\"Answer: -23*q**2 + q - 8783859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.009 - 0.529. Let h = g - -0.5232. What is h rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17377 + 17439. Calculate the highest common factor of s and 3348.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*z, 71*q + 26*z + 123 = 76*q - 65 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0037654519+0.5\nAnswer: 0.4962345481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-342)\/285)\/((-3)\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -23*g - 47. Let j be p(-2). Let w be j\/(12\/3) + (-1029)\/12. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118993519261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 13 + 17. Suppose -p + 4*p - g = 0. Which is the closest to -0.2? (a) 0.4 (b) 3\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 2)\/((-2)\/6). Suppose 0 = -140*f + 127*f - 65. Let a = u + f. Which is greater: a or -12\/7?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14010, 28077, 42148, 56223, 70302?\nAnswer: 84385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(572)*1)\/sqrt(11))\/(sqrt(324)*-1) + (-3 + sqrt(117) + sqrt(117) + 0)*3.\nAnswer: -9 + 161*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2943.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 t when four letters picked without replacement from rhhtrrhthhttthhtrt.\nAnswer: 49\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.1 - 0.9. Let y = 6.5 + -7. Which is the second smallest value? (a) -1 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31070 - -31068. What is the nearest to v in -0.1, -4\/3, 0.1, -0.087?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1594920271.\nAnswer: 7, 31, 311, 23633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5.6 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5 = c, 5 = 4*c - 4*a - 31. Solve -c = 5*v - 3*s - 0*s, 4*s - 4 = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.9032639+-0.03\nAnswer: 7.8732639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**3\/18 - 5*a**2\/12 + 74. Let f(w) = 0. Calculate w.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1805318, -1805215, -1805112, -1805009?\n\"Answer: 103*a - 1805421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/28 and 1793\/(-616) - (-3 + (2 - 3)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a kilometer in meters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 20 + -20 - (-2 + -79)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185811 is divided by 267.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4573, -5619, -3143, 2849, 12351, 25357?\n\"Answer: -b**3 + 1767*b**2 - 6340*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of ((-197)\/8)\/(3 + 450\/(-144))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from tfksppok.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m + 3. Let o be b(-1). What is the second smallest value in -0.5, o, 27?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 765762 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 3*a + 2*l + 12, -3*a + l = 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 + 141*x**2 - 1165*x + 386. Determine b(-78).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 18 + 6. Let g = f - -18. Let v(j) = -701*j**3 + 10*j**2. Let b be v(g). What is b rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 505682 and 114.\nAnswer: 28823874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.97 + -9. Let i = l + -0.97. Which is the second smallest value? (a) 0.3 (b) i (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44408.94mg to tonnes.\nAnswer: 0.00004440894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -100 + (-38 - -128) - (2 - (1 - -2) - -67).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = 4*n - 0*k - 2*k, k = n + 29. What are the prime factors of (-200)\/n - (-3)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10402203 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -17608*z + 11. Let y(f) = 8799*f - 6. What is 4*a(q) + 7*y(q)?\nAnswer: -8839*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 6. Let d = 1\/386 - 783\/4246. Which is the closest to -2? (a) 1\/6 (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2202232 + -5?\nAnswer: 2202223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2400000 = 4*m. What is m rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*i - 733 + 685. Which is the second smallest value? (a) -0.74 (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (2 + -8 - 9 - 12\/3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.90576 millennia in decades?\nAnswer: 5690.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4 = 52. Does 56 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 111*n + 11. Let c be w(3). Suppose c = -g + 884. Is 46 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 878 and 676370?\nAnswer: 296926430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7847443?\nAnswer: 7847443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.23 - 0.22999604. What is c rounded to 7 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 0*c + 2*c**2 + 0*c**6 - 1\/105*c**7 + 1\/6*c**3 + 0 + 0*c**4 + 0*c**5. Differentiate v(l) wrt l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12 = -i, 6*i - 26 = 4*i + 5*s. Suppose -2*r = 3*u - i, 3*r - u - 14 = 2*r. Is r at most 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445*m + 220*m = 394*m - 21780753. Is m a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 201733837 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 24. Suppose -7*f + 50 = -12*f. Is 2 a factor of k(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -77 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203043213 (base 5) to base 12.\nAnswer: 340b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 6*u**2 - 10*u - 4. Let o be b(-6). Is 57 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 h, and 1 e when three letters picked without replacement from jjjjiejnjjhvjhjjnjjj.\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1130 (base 5) to base 14\nAnswer: -bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -11 + 42438 + 3*-1. Suppose 8*u - 40128 = b. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1672*k + 1671*k + 688 - 3343*k - 2*k**2.\nAnswer: -2*k**2 + 688","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 11 = 3. Let q be 1\/(-3) + 52\/12. What is the third derivative of f**q + r*f**2 - 4*f**2 + 0*f**2 wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*g + 35 - 6 = 0, 0 = 5*l - 5*g - 65. Calculate the lowest common multiple of 3 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 17, l: 3}. What is prob of picking 1 l and 1 f?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2644347 take away -514157?\nAnswer: 514156.7355653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzvzqqzqzzzzzzz. Give prob of sequence qzz.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = q - 1. Let p(v) = v + 13. Let r be p(q). Let m(b) = 3*b - 2*b + b + 4. Calculate m(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2. Let x(p) = 2*p + 53766. Calculate x(z(h)).\nAnswer: -4*h**2 + 53766","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*t - 2109 - 141. Let o = t - 120. Calculate the least common multiple of o and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 41 = 9*c, 2*c + 217*h - 219*h = -30 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by 5.\nAnswer: 126\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 4\/5 (c) -2\/63 (d) 4 (e) -0.2 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -127 + 129. Suppose b*w + 93 = 3*t - 2*w, 120 = 5*t + 5*w. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -44. Let c = m - 6. Calculate the greatest common factor of 56 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9800 divided by -10?\nAnswer: -980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -26, -28, -30?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 3*k - 1. Let s be y(-4). Suppose -3*m - 81 = -4*t, s*t + 3*m - 68 = -2*m. 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: Let z be ((-20)\/(-6))\/(2\/365127). Let m be (z\/120)\/((-4126)\/(-4)). Let n = m + 2\/6189. Find the common denominator of 91\/12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmjjjjmmmm. What is prob of sequence jj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11555*v**3 + 22*v**2 + 380262*v?\nAnswer: 69330*v + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/3 - -6)\/(-2). Let r be -1 + -1539 + (9\/w - -3). Round r to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4*l = p - 24, -5*l - 21 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 7857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000)*2)\/sqrt(8).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 441 - 293 = 0. Let r = -36 + 79. Let z = j + r. Solve -21 = -3*y - z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136 + 276. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*u + 20. Let x be (-6*((-18)\/4 - -5))\/(-3). Let w(k) = -48*k + 37. Let t be w(x). Put u, 3, t in ascending order.\nAnswer: t, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + -6.3. Let l = 2\/89 - 93\/178. Let g = 336\/5 + -67. Which is the second biggest value? (a) l (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.29 - -0.01. Let l = -1.1 - -4. Let m = l + -2.4. Which is the nearest to 1\/2? (a) 0.1 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65520 is divided by 812.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 106614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -4. Factor -8*t**4 + 7*t**2 + 5*t**3 + 4*t**3 - 4*t**2 + q*t**5 + 17*t**4.\nAnswer: 3*t**2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25515 + -688877\/27. Suppose 3*d = 2*d + 5*z - 8, 4*z = -d + 10. Is d at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-8)*d)\/(d\/d**(-34))*(d**(1\/13)\/d)**50 assuming d is positive.\nAnswer: d**(-1133\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (171\/(-27))\/19*(-17)\/(-85)*(-3)\/(-9).\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 2*p. Suppose 0 = 13*r - 16*r - 84. Let j = -32 - r. Let v be z(j). Let k(n) = -n**3 - 9*n**2 - 8*n - 2. Calculate k(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u = 5138 - 5158 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21272221666 and 236.\nAnswer: 21272221902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/7277 and 21\/72770.\nAnswer: 72770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 1, j: 2}. Give prob of picking 1 i and 1 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*l + 7*l. Let m(o) = 6*o + 31 + 10*o**2 - 22*o - 8*o**2 + 11*o**2 - o**3. Let k be m(12). Sort l, 0, k, -3.\nAnswer: k, -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -219 - -871\/4. Let j be (-4)\/1 + -1 - -9. Let z be 30\/(-56) - (-1)\/4. Which is the nearest to z? (a) q (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1010100 - -23243?\nAnswer: 1033343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a + 26. Are 13 and a non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 371490 and 29.\nAnswer: 371490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from {b: 1, o: 1, w: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 317336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3306939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3 - 1083*g + 3*g**3 + 787*g - 95*g**5 - g**3 wrt g?\nAnswer: -1900*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*i - 15, 6*r = r - 15. Let t(w) = 2*w**2 + 3*w**2 - 4*w**i. Let g(j) = -6*j. Calculate g(t(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/28282 and 13\/1331760.\nAnswer: 105209040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2, -0.18, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11 + -2 + 3 + 0. Let o = -4\/7531 - -519703\/120496. What is the common denominator of o and (-1)\/(-10)*738\/c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92789616 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 50 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -134.13 - -136.13. What is the second smallest value in 3\/10, -2\/37, p, -0.4?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.682 - 0.318. What is the smallest value in 3\/4, 3\/14, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 30*y**3 - 20*y**2 + 4. Let n(t) = 60*t**3 - 46*t**2 - t + 9. Determine -7*k(h) + 3*n(h).\nAnswer: -30*h**3 + 2*h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -53. Let z = -13 + c. Suppose 2*y + 5*n - 25 = -3*y, z = 4*y + 2*n. Solve -y*m = 3*k + 3, -2*m - 8 = 4*k + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from {v: 1, f: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 454 + -813. Let o = j - -365. Which is bigger: -28 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*g - 160, -3*g = l - 5*g - 24. Let f = l + -38. Let c(h) be the third derivative of -h**6\/120 - h**5\/15 + h**3\/6 - 19*h**2. Calculate c(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g + 21. Suppose 5*o - 2 = 3*a, 3*a - g + 3 = -o. Let b = 1458 + -1454. Is o less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-6*(sqrt(448) - (sqrt(448) + 1 + 1)) - (1*sqrt(3388))\/(sqrt(196) + (sqrt(196)*-2 - sqrt(196)) + sqrt(196))) + 2)**2.\nAnswer: 418*sqrt(7)\/7 + 2648\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 3 - ((-126 - -110) + 24 + 2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - g - 6*g)*(4 - 3*g**3 - 4).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 5*q**4\/8 - q**3\/2 + 20*q**2. Let z be o(3). Let h be (-4)\/z*-3 - 97302\/7. What is h rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-6)*(-12)\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -2. Let n = -6 - l. Let f be (-2)\/(-5)*2\/(-8). Which is bigger: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -20*l**7 - 5*l**3 + 19*l**7 - 2*l**3 - 1. What is the third derivative of u(i) wrt i?\nAnswer: -840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + ((4 + -3)*5 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*o - 70*o - 71*o - 60*o as n*o + l and give n.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -47 and -353544.\nAnswer: -353591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 409 - 403. Suppose q - 658 = -a. List the prime factors of a.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 11, -5890.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2608*3.\nAnswer: -7824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 6:29 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-27) - 16\/30. Suppose 0 = 4*o - 0 + 8. Let b be (((-60)\/21)\/(-5))\/o. What is the second biggest value in i, -4\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -343\/1172 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/140 and (-95)\/190*(-11)\/7?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.351 less than -408050935?\nAnswer: -408051091.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 769221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.1 - -3.1. What is the second biggest value in 66, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -975 + 1042. What is the remainder when 263 is divided by t?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151.941 - 152. Let r = -2.059 - j. Which is the fourth biggest value? (a) 2 (b) r (c) 5 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 4, e: 2, m: 2, c: 1}. Give prob of sequence cm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (57\/21 + -4 + 1)\/((-148)\/(-518)). Which is bigger: c or 2\/24643?\nAnswer: 2\/24643","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -965b472 + -5?\nAnswer: -965b477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 8*p + 16. Let j be (2\/p)\/(-1 - 6\/(-8)). Is 50928\/72*(2\/4 + j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*m + 2*l + 25, 4*m - 2*l = 72. Suppose -m = -w - 2. Suppose p + 30 = 4*z + z, w = 4*z + p. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 7*y**2 + 7*y + 5. List the prime factors of b(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 + 648*r**3 + 6740*r**2 + 14352*r - 21744.\nAnswer: 4*(r - 1)*(r + 6)**2*(r + 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 9:15 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 99595 less than or equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**3 - 5090358*i**2 + 6477925961313*i + 25911785291044 = 0.\nAnswer: -4, 2545181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17992576 a multiple of 1376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 0*p**3 + 0 + 0*p**2 - 5*p + 3\/4*p**4. Let r(y) = -2*y. Determine r(z(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -195 + 193. Which is the closest to t? (a) -2 (b) -1 (c) -17 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 65*w + 54. Determine s(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 223. Suppose -a + 4*q + 20 = 0, -3*q - 25 = -2*a + 2*q. Is w(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-2*q - 2*q + 2*q) + 30 - 6*q - 30.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hghgghgghhhgg. Give prob of sequence gh.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -799 or -800?\nAnswer: -799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1404\/182)\/(3*-1*1\/21).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 5097929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 466?\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -26*m**5\/5 + 31*m**4\/2 - 46*m**3\/3 + 5*m**2 + 212. Factor j(l).\nAnswer: -2*l*(l - 1)**2*(13*l - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*x**4 + 4*x**4 + 3*x**4)*(2 + 5 - 6) to a*x**4 + t*x**2 + v + c*x**3 + o*x and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**12)**(-25) assuming n is positive.\nAnswer: n**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j\/(j**8\/j))*j))\/j)\/j*j**(-5\/4) assuming j is positive.\nAnswer: j**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from {m: 3, f: 3, c: 2, i: 1, r: 4, o: 6}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6106 + 6126. Let d(k) be the third derivative of 0 + 0*k**5 + 0*k**3 - 7\/60*k**6 + 1\/2*k**4 + u*k**2 + 0*k. Find the second derivative of d(i) wrt i.\nAnswer: -84*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56658 and 34314?\nAnswer: 2436294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, 35, 120, 281, 542, 927, 1460, 2165?\n\"Answer: 4*f**3 + 2*f**2 - f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-35)\/(-14))\/(25\/(-20)). What is the nearest to -0.4 in 2.1, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17 + 18 - (2 - -5). Let d be (7\/(147\/(-18)))\/((-6)\/s). Solve 0 = 5*n + l - 19, d*n - l = -n + 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1699 + 623. What is the highest common factor of d and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m + 2. Let g = -18 + 29. Suppose -4*x + g = 5*u, 0 = -x + 3*u - 12 + 2. What are the prime factors of v(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 (base 8) in base 13?\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.29614 from 0.\nAnswer: -1.29614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178 (base 10) to base 4.\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102.00001445 + -102. What is u rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)\/o)**(5\/7) assuming o is positive.\nAnswer: o**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**3\/3 - 9*d**2\/2 - 8*d - 174. What is a(11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.5, -0.0674, 10, -2?\nAnswer: -0.0674","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 771915 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/((3\/(-3))\/1). Let y(v) = -17 + x + 7 + 5*v + 0*v. Let s(q) = -6*q - 1. Suppose -13*o + 15 = -10*o. Calculate o*y(f) + 4*s(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (-6 - (2 - 2))) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -112\/13 - 2221\/130. Which is greater: -26 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*u - 4*n + 10, -8 = -4*u + n. Suppose o = 2*v - u*o - 16, 59 = 3*v + o. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-8) + 2 - (-9)\/2. Put 0, -1, 4, i in descending order.\nAnswer: 4, i, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 10 - 6. Let s(l) = -l - 5. Suppose 3*v = 17 - 5. Let d(x) = -3 + 4 + v - 6. Give i*s(y) - 3*d(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/39 (b) -4\/5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 25213.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 12:58 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 67359*d**2 + 0*d - 67494*d**2.\nAnswer: -135*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5125 - 3968. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 475 divide 111672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 20*k + 46. Give z(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 234377 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 205196 divided by -51299\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**11)\/(b\/(((b**(-4\/9)\/b)\/b)\/b)) assuming b is positive.\nAnswer: b**(-130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v. Let u(c) = -5320*c**2. Give u(l(y)).\nAnswer: -260680*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -17*p. Let v(m) = -1624*m**2 - 54*m. What is v(w(x))?\nAnswer: -469336*x**2 + 918*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*f**2 + 3 - 7 + 4.\nAnswer: -314*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**4\/4 - 33*w**3\/4 - 63*w**2\/2 - 48*w - 24 = 0?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1375110 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 353606 and 2255?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -207 + -64. What is the units digit of (-3)\/(3 + l\/90) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z - 4. Let m(i) = 3*i - 3. Let l(o) = -5*m(o) + 4*u(o). What is l(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**2 + o**2 + 0*o**2)*(-2478 + 118 + 752 - 3352 - 2673) to the form m*o + d + f*o**2 and give f.\nAnswer: -7633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373393690?\nAnswer: 2, 5, 37339369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 68927?\nAnswer: 4\/68927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - h - 133 = 0, -15*w + h + 165 = -10*w. Suppose k + 5*i = 25, -4*k + w = -2*i + 5*i. Solve k*z + 9 = 14 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36733*q**4 + 9*q**3 + 380*q**2 + 821 wrt q?\nAnswer: -881592*q + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4444, 4440, 4436, 4432, 4428, 4424?\nAnswer: 4420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7. Let n(x) = -x. Let i(w) = -2*n(w) + q(w). Let o be (-45)\/(-18) + 329\/14. Let u(z) = -z**3 + 24*z**2 + 49*z + 71. Let p be u(o). What is i(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84103 is divided by 2897.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4639 - 4644. Sort h, -2, 2, 0, 6.\nAnswer: h, -2, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-189) - 77\/(-693))\/((138\/(-432))\/(-23))\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.585 + -0.53. What is m rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 409808 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 16 = 4*i + 3*z, -5*i + 5*z = -5. Suppose -13464 = -33*f - i*f. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(90)\/sqrt(5) + (sqrt(162) - -2*sqrt(162) - sqrt(18)) - (0 + 4*sqrt(288)*-2))**2.\nAnswer: 38088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 380488695 to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 4) + (-10)\/2. What are the prime factors of (4\/u - 2)*-24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1328\/5 - 266. Which is the closest to -0.13? (a) d (b) -2\/9 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1246\/5, 2, 0 in increasing order.\nAnswer: -1246\/5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021047812 to five decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1036 and 53263?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c - 16. What is the least common multiple of 18 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t = 20. Let h = 6 + t. Solve -2*s - h = -0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1279?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 r, and 1 h when four letters picked without replacement from {h: 5, z: 3, r: 1, v: 7, b: 2}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(-10) + 2)*(-120)\/(-96)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q + 278 + 471 - 418*q**2 - 422 + 1476 wrt q?\nAnswer: -836*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 times 6778\nAnswer: -189784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267344?\nAnswer: 2, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 93358 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4*l**2)*(-2*l + l**3 + 2*l) + 94*l**5 - 252*l**5 - 597*l**5.\nAnswer: -751*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6049047020 to the nearest integer?\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 0. Suppose 7*i - 3*i = 40. Calculate the lowest common multiple of (3 + -1*i)*-2 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.22 + -2.78. Let z = 0.064 + 0.036. Let g = 0.05 + -0.15. What is the closest to z in g, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75996150?\nAnswer: 2, 3, 5, 37, 13693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000720922 rounded to seven decimal places?\nAnswer: 0.0000721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7199 + -201599\/28. Let k = 3633\/10 - 365. Find the common denominator of s and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(875\/20))\/((-6)\/15). Suppose -4\/7*q**4 - 10\/7*q**3 - t*q + 0 - 8\/7*q**2 = 0. What is q?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 58)\/(-5 - (-114)\/22). Suppose -12*q + 5262 = -w. Suppose -3*h - 28 = 3*s - q, -298 = -2*h + 4*s. Is 49 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1792 divided by 4\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/16)\/((-90)\/(-324))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/16)\/l)**(1\/41)*l**33\/(l*l*l\/(l\/l**(14\/3))) assuming l is positive.\nAnswer: l**(51779\/1968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 8*g + 9. Let u be z(7). Suppose -5 = u*l - 15. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16.3? (a) 0.3 (b) -5 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 9. Suppose 3*i + 0*i - 3*t - 3 = 0, i = -5*t + h. Let n = -802 - -807. Put n, -9, i in increasing order.\nAnswer: -9, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2429, -7817, -16725, -29147, -45077, -64509?\n\"Answer: h**3 - 1766*h**2 - 97*h - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 880 = 3*o, -3*n + 0*n + 2*o + 1320 = 0. What are the prime factors of n?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c. Let z = 4309 - 4309. Let u(l) be the second derivative of 5*l + 0*l**3 + z*l**2 + 0 - 1\/12*l**4. What is u(q(j))?\nAnswer: -49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 490667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5522 and 120982.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 23*p. Let q(r) be the third derivative of -r**5\/60 - 11*r**4\/24 - 31*r**2 + r. Determine m(q(j)).\nAnswer: -23*j**2 - 253*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110200 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 - 28*j. Let c be h(-12). Suppose c = 4*s + 5*v, -2*v = 4*s - 326 - 586. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034343 (base 5) in base 2?\nAnswer: 100011010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 21 = 5*o + 3, 3*o = -5*x + 6. Suppose 108 + 132 = x*u. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 112*p + 89 + 52*p.\nAnswer: 164*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 2\/3*x**2 + 0 - 2\/3*x**3 + 5\/36*x**4 + 9*x. What is k in q(k) = 0?\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -939901 + 303353 - u + 2*u - 1035673.\nAnswer: u - 1672221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/62580 and -9\/560?\nAnswer: 250320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*4\/(12\/9). Suppose -z - 3*s + 39 = 0, -3*z - z = -r*s - 156. What is the greatest common factor of 26 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u*u**2)\/u)\/u)**(30\/7)\/(u*u\/u**9*u*(u*(u*u*u**(-5\/2)\/u)\/u)\/u*u))**(-27))**(-1\/38) assuming u is positive.\nAnswer: u**(4455\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -41, 11, -2, 5 in decreasing order.\nAnswer: 11, 5, 3, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/312 and 47\/140088?\nAnswer: 140088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 10*w**2 - 11*w + 9. Let o be g(9). Let u = -2 - o. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7\/m*m*m**(5\/2))\/(m\/((((m*m**2*m)\/m)\/m)\/m)*m\/m**(8\/7)) assuming m is positive.\nAnswer: m**(135\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1750 and 74725.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112011 - 211?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3*6\/(-8))\/(6\/(-2))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by -17.\nAnswer: -41\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 4*g + 12. Is t(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 7 + -2 + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 >= 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4500006 is divided by 2478?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-289)\/68*(0 - 196) a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (16 - (7 + 3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 4*x**2 - x - 6. Let i be d(5). Let y = 17 - i. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 16 = -x - 3*k, 64 = 3*x + k. What is the highest common divisor of x and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 14*y - 28. Let v be w(5). Let m be ((-32)\/(-6))\/((-35)\/v + 1). What is the units digit of (-970)\/(-8) - (6 + (-216)\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 18762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1028008.\nAnswer: 2, 23, 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from qwrwlwwqwwwqlwrw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 310 or 243?\nAnswer: 243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 12\/7, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, i: 2, n: 2, p: 4, r: 8, a: 3}. Give prob of picking 1 a and 3 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3)*(-55 + (1 - -52)). Let g = 1.6 - -0.4. Let l = -4.4 - -0.4. Sort -1, r, l, g in decreasing order.\nAnswer: g, r, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1394*n**2 - 5*n + 1020*n**2 + 5*n in the form p + i*n + v*n**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17, -35, -59, -89, -125?\n\"Answer: -3*s**2 - 9*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587248235?\nAnswer: 5, 7, 16778521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 + l**2 + 4*l - 1. Let c be p(-2). Suppose -5 = -10*r + c*r. Sort r, -1, 1, 3 in ascending order.\nAnswer: r, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 147 = -117. Let p be 25\/2*4\/60. What is the fourth smallest value in 1\/10, p, w, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*i - 5*i - 3*i + 10 + i to l + s*i and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 + -0.87. Let t = s - 0.23. What is the biggest value in -3\/2, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0643 + -84.5857. Let w = d + 87. Let i = 13.65 - w. What is i rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001000 (base 2) to base 10.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1005230019*d**5 + 859140927*d wrt d.\nAnswer: -20104600380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101 + -1 + -1 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000005487 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -13, 5, -3 in increasing order.\nAnswer: -67, -13, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -558*g - 9562. Give i(-17).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cncmicnrnrcciiiiiir. Give prob of picking 1 c, 2 n, and 1 i.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1063 + -2484. Let i = j - -15590\/11. Calculate the common denominator of i and (24\/32)\/((2\/(-36))\/1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 6. Let k be n(5). Suppose k*m - 2*m - 60 = 0. Let r = m - 119\/4. Is r at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 34.547?\nAnswer: 34.547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-4) + (-4236)\/(-16). Suppose 4*v - 10 + 73 = q, -4*v = -24. Suppose -n = -m - q. Calculate the highest common factor of n and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/(p**(-4\/7)\/p))**48 assuming p is positive.\nAnswer: p**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 - 78. Suppose 0*y + 2*y + 5*m = -10, 0 = 2*m - 8. Let f = y + 19. Which is the closest to 1? (a) f (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -13. Let o(j) = 3*j - 3. Let y(x) = 3*x - 4. What is c*y(u) - 4*o(u)?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 3*u + 15. Suppose -9 = -3*w - 0*w. Find the first derivative of l**w - 2 - l**4 - l**u wrt l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**4\/4 - 3*p**3\/2 + 3*p**2 - 827*p. Determine v(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 3)*(1187*q + 1960*q + 1664*q) to y*q + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(588)*-2)\/(4*sqrt(24)\/sqrt(4)))**2.\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 5. Let v be (-78)\/(-9) - 6\/9. Let r be g(v). What is the units digit of 0 + (1 - (-4)\/(r - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -38. Let w(v) = -14 + 5*v + 2*v - 2*v - k*v. Let x be w(6). Let t(n) = -n**2 - 9*n - 9. Determine t(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5133040 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/((-10)\/50)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14\/95 + 1\/19. Let l = 3\/5 - y. Let t = 3.97 + 0.03. Sort -0.3, l, t in descending order.\nAnswer: t, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2 - 14*k - 24. Let l(v) = 12*v**2 + 57*v + 96. Let g(r) = 4*l(r) + 15*s(r). Factor g(d).\nAnswer: 3*(d + 2)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + 19. Suppose 46*a - 24 = x*a. Is 7 a factor of a\/2 + -1 + 0 + 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1880991 and 144613?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1257606 divided by -419202?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 33*m - 413 - 397 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: cd (base 15) to base 3\nAnswer: 21011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -984.8 + 985. What is the closest to 0 in 17\/5, 0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-4) + (-730)\/3080. Let z = -163\/693 + c. Let o = -5294 + 37117\/7. What is the common denominator of z and o?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3808298154.\nAnswer: 2, 3, 29, 21886771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 1 = 4. Is 1\/17 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w + 2. Let a(n) = 11*n**2 - 5735*n. Calculate a(d(o)).\nAnswer: 539*o**2 - 39837*o - 11426","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -y - 1 - 10, -4*b = -3*y + 7. Let u(r) = -3*r**3 + 2*r**2 + 3*r - 12. Is 25 a factor of u(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2251 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g**2 - 8*g**2 - 8*g**2 - 7*g**2 + 2*g.\nAnswer: -40*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/1032147 and -157\/10074.\nAnswer: 47478762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) 3\/5 (b) 7 (c) 0.06 (d) 1\/2 (e) -137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, n: 5, l: 1}. Give prob of sequence lxnn.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/1 - (-95)\/(-15))*-87. Suppose -6*n + 224 - k = 0. What is the smallest common multiple of n and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*k**3 + 34*k**3 - 11*k**3)*(1 - 3 + 0)*(-k + k + 2*k).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.197 * -1.\nAnswer: -0.197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 + 7cb?\nAnswer: 7a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 697 + 758 - 2*y - 2218 + 763.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*(sqrt(832) + (3 + sqrt(832) - sqrt(832))**2*-2) + -1*(5*(2 + sqrt(832)))**2 + 4).\nAnswer: -83800 - 3104*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25497191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -35160349\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2099 times 0.2957?\nAnswer: -620.6743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37.523 - 38.3. Let n = t - -1.1351. Round n to two dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -702 times -5.959?\nAnswer: 4183.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 993 = 24861. Calculate the remainder when h is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 8. Suppose 4*b - 6 = i*b. Solve 0 = -4*t + t + b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*t**2 + 15 - 2 - 35*t**3 - 70*t**2 in the form z*t**2 + l + p*t**3 + c*t and give p.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 14. Let k be w(-4). Let u be ((-25)\/15)\/(k\/6)*17. Let y = -23 + 40. Calculate the greatest common divisor of y and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m + 2. Let i be a(4). Suppose 2*q = -3*k + 13, -4*q - 4*k - 14 = -i. Suppose q*g - 49 = t, -2*t + 26 = g - 3*t. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105999 and 1233.\nAnswer: 43565589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 14. Let y be j(-12). Let g be (2\/(-2))\/(y\/74). Let i = g + -29. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 1. Let l be g(2). Let u be 2\/(-2)*11 + l. Let x be -8 - -11 - (0 + u). Solve -4*k - 3 = -x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1770 and 24886554.\nAnswer: 124432770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-12)*-6 - 5\/3)\/((-2)\/(-27)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*v - 7*v - 13*v + 30*v in the form n*v + x and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3813*0.602.\nAnswer: -2295.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2416521*s**5 - 6*s**3 - 2430038*s + 4.\nAnswer: 48330420*s**3 - 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**3 - 2*b**2 - 3*b + 8. Let f(n) = -18*n**3 - 7*n**2 - 8*n + 27. What is -2*f(k) + 7*p(k)?\nAnswer: -6*k**3 - 5*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.675 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) - (-602)\/(-8). Let n(i) = -i**3 - 5*i**2 - 4*i. Let d be n(-3). Let u = d - j. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 - (-4)\/(1 + 1). Let t = -0.9 - 0.1. Let v = 245\/4 + -61. Which is the nearest to v? (a) 2\/3 (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5 + 5. Which is the fourth biggest value? (a) 0.3 (b) 1 (c) m (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2447 + -6?\nAnswer: -2455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 137*g - 12. Let o be z(5). Suppose 52 = 5*m - o. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 + 16 + 19)*(x + 4*x + 0*x) - 2 + 2 - x + (0 + 1 + 1)*(-5*x + 4*x + 2*x) + 3*x + 3*x - 4*x to v + b*x and give b.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -3 + sqrt(1216) + 3 + 6*(3 + -1 + sqrt(1216)))*-4)**2.\nAnswer: 14336*sqrt(19) + 954368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -1 (c) 0.097\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g - 39*g + 135 = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(16\/(-4)))\/(4\/(-36)*-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(6)*-1) - sqrt(81)\/sqrt(3)) + 5*(sqrt(108)*2)**2.\nAnswer: -4*sqrt(3) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b1d (base 15) in base 4?\nAnswer: 213013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2256.4332 - 2242.4. Let y = 0.2432 - z. Round y to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 3. Let y(a) = -a + 4. Let w be 15\/4*1064\/798. What is w*y(o) - 4*d(o)?\nAnswer: -o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 583.7445ug in kilograms?\nAnswer: 0.0000005837445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 279437543 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvvvvvvvvvvvkkvvvv.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*1*-3)**2 + 4.\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, s: 1, n: 6}. Give prob of sequence sqnn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18559779 and 441.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 132297132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 201.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 3:13 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 6, u: 3, w: 1, v: 1}. Give prob of picking 2 u.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 119\/(-28) + 5 + (-207)\/4. Let p = -31 - r. Solve 2*l + 4*d = 22 - 6, -2*l = -5*d + p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 284 - 179. Which is greater: y or -2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 8*x + 4. Suppose i + 28 = -3*i. Suppose -30 = -z - 5*v, 0*z = -3*z + 2*v + 56. What is the remainder when z is divided by s(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 10:39 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*n - 24 = -n, 5*n + 5 = 0. Let h = 14073\/5 + -2824. Let x = 0 - h. What is the common denominator of w and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2475)\/35 - (-6)\/(-21). Let w be (-14)\/(-12)*8*9 + -1. Let b = w + -153. Is d > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -29*u**2 - 1497*u + 201. Determine r(-52).\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + s + 8010, -4*s - 364 - 7646 = -5*l. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1498 (base 11) in base 15?\nAnswer: -882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35\/2 - -17. Which is bigger: -4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(468))*5 + sqrt(468))*-3 + -1*(3 + (sqrt(468) - sqrt(468)*-2) + sqrt(468)).\nAnswer: -132*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -4. Suppose 3 = -t + c*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -9 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15299045.87 to the nearest ten thousand.\nAnswer: 15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7986597, 15973206, 23959815, 31946424, 39933033?\n\"Answer: 7986609*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**8\/840 + s**7\/2520 + s**6\/120 + s**5\/30 + 7*s**2. Let w(j) be the third derivative of f(j). Is w(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 149*h**2\/2 - 181*h\/2 - 18.\nAnswer: -(h + 1)*(h + 36)*(4*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 5:00 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -69, 4, -4 in decreasing order.\nAnswer: 4, -2, -4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46000 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22\/6 + (-132)\/44\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -7*p**4 - 22*p**3 - 40898*p**5 + 4*p**4 + 72*p + 40899*p**5 + 12*p**2 = 0?\nAnswer: -3, -2, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-20) - (-4)\/5. Let f(b) = 56*b**3 - 1. Is f(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 5*t + 4. Suppose -t*o + 28 = -p + 5*p, -o - 2*p + 11 = 0. Solve 4*u + 15 = 3*v, 3*u + o*v - 13 = 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2913873059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**5 - 3*t**4 - 3*t**3 + 10*t. Let i(x) = -x**5 - x**4 - x**3 + x. Let j(f) = 3*i(f) - k(f). What is the second derivative of j(l) wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1073*t**2 + 16411*t wrt t?\nAnswer: -2146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -1041, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9741251\/8715 + 23465\/21. Let p be -2*-2*1\/(-166). Let q = l + p. Which is the closest to 1\/4? (a) -5 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -7. Suppose -49 = z*a - 178. Suppose -c - 3*q = -5*q - a, -3*c - 2*q + 97 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00075381 rounded to 5 dps?\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0394, -32181, -2.\nAnswer: -32181, -2, 0.0394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14243353 - -3?\nAnswer: 14243356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - y - 1. Let h(b) = b**3 - 4*b**2 + b + 1. Let j(a) = a**3 + 7*a**2 - a - 6. Let x(w) = 2*h(w) + j(w). What is -4*l(n) + x(n)?\nAnswer: -n**3 - n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1251 or -1257?\nAnswer: -1257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4129*j**2 + 23715*j**2 + 13728*j**2 + 191*j**2 - 3733*j**2)*(-j - 2*j + 2*j).\nAnswer: -38030*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4729, -18326, -40987, -72712, -113501?\n\"Answer: -4532*h**2 - h - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 0*r + 0*r)*(0*r**2 + 0*r**2 - r**3) + 4*r**4 - 2*r**4 + 5*r**4 as u*r**2 + o + c*r**4 + j*r**3 + i*r and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 6*n - 2. Let a be b(5). Let p(o) = 5*o + 2*o**2 + a*o - 4*o + 2 + 1. Suppose 2*c + l = -7, 4*c = 3*l - 2 - 7. What is p(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129403 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6802 + 49002 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 35. What is the third smallest value in s, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133545?\nAnswer: 3, 5, 29, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 157856*v**3 + 7*v**2 - v + 25023208 wrt v?\nAnswer: 473568*v**2 + 14*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 2*o - 3*o - 2*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1013363, 4053488, 9120371, 16214018, 25334435, 36481628, 49655603, 64856366?\n\"Answer: c**3 + 1013373*c**2 - c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -43218 minus 164092747?\nAnswer: -164135965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*m*x**2 + 130*m - 31*x**2 - 47 wrt m.\nAnswer: 6*x**2 + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 107*f**2\/2 + f - 2. Let j be v(1). What is the greatest common divisor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 36 + 20 - 50*r**2.\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 + 3*n**2 - 118*n + 103. Give m(6).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -7435?\nAnswer: 7442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-75))\/((-2)\/(-1116)). Let a = p + -74. What is the closest to 0.1 in -1, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2. Let l be q(1). Suppose 15 + 1 = l*w. Let s(x) = 2*x**2 - 17*x - 7. Let p be s(9). Sort -2, p, w in ascending order.\nAnswer: -2, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + -42 + 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26650696871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187386 is divided by 18738?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.14895 + 0.14895. Let p = 460\/2409 + -2\/219. Which is the fourth smallest value? (a) 3 (b) s (c) p (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -5*j**4 - 1715*j**3\/3 - 1275*j**2\/2 + 4698. Factor b(s).\nAnswer: -5*s*(s + 85)*(4*s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**3 - 3*q**2 - 2*q. Let j(c) = -1 - 2 - 1 + 5 - c. What is 34*j(l) + 6*v(l)?\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-4)\/6*(-15)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 299\/23 - (-2)\/(-1). Suppose 5*t - i*t = -48. Let p(u) = 7*u**2 - 18*u + 21. Let y(z) = -4*z**2 + 9*z - 11. Let w(x) = -3*p(x) - 5*y(x). What is w(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 322 + 9217. What is the thousands digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 6*q - 10 = 0, 706*r - 708*r - 648*q = -645*q - 114 for r.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -24, -23, -22?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6317014391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -462.8 + 463. What is the third biggest value in 5, m, 20, -14?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-6)\/40)\/(39\/(-52)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 45712216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -52. Let r be (-1 - -1)*1*(-4)\/m. Solve r*i = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 8:28 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 90 = -5*h, -3*h + 6*h - 42 = -3*c. Suppose s - 3 = 0, -4*s + 16 = 4*n - c. Solve -4*x = x + n*f - 30, 3*x = -2*f + 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3768.2807 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/137632 and -25\/137632.\nAnswer: 137632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -19 - (310\/(-1))\/10. What is the greatest common divisor of 7932 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*(sqrt(1134) - -2*sqrt(1134))\/(-1*sqrt(343)).\nAnswer: 486*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 2*d**2 - 8*d + 2. Let b = 11 + -1. Calculate the smallest common multiple of b and h(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-3*z - 2*z + 4*z)*(-1376*z - 1 + 713*z + 785*z).\nAnswer: -122*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*k = 0, k = -5*p - k - 26. Let d = 4 - 5. What is the closest to 0 in -0.2, d, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2\/11, -140 in increasing order.\nAnswer: -140, -2\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1623 (base 7) in base 3?\nAnswer: 220020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbxffxswbjjbxjxs. Give prob of picking 3 x and 1 s.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -11*s**3 + 7*s**2 - 12. Find the second derivative of i(c) wrt c.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21323 - 11?\nAnswer: -22000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -473 + 481. What is the greatest common divisor of j and 268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**4*u**2 + 57095*k**4 + k**2 - k*u**2 - 372*k + 81*u - 1 wrt k?\nAnswer: 12*k**2*u**2 + 685140*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 - -254?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2 - y - 1. Let x be m(-1). Let z(r) = 296 - 287 - 11*r - 6*r**2 - 9*r + 7*r - 5*r**2. Let c(g) = -6*g**2 - 7*g + 5. Determine x*z(k) - 7*c(k).\nAnswer: -2*k**2 - 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7378278130 to the nearest integer?\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-37)\/(518\/(-84))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/8)*h)**(2\/25)*(h**3\/h)\/(h**(4\/25)\/h*h) assuming h is positive.\nAnswer: h**(39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -8. Let t = d - -9. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4*k + 1 + 0.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) -70 (c) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 3.4, 2, -0.5?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*t - 11, -2*t + 6 = -5*c + 23. Suppose c = -23*q + 72. Let f be (-1)\/((-10)\/(-12) - 1). Solve q*n + 15 = f*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 2:42 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/341583 and -59\/968.\nAnswer: 2732664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*n - 4*n**2 - 3*n**3 + 3*n**2 - 21*n wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 28*d + 20. Determine g(30).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**18\/f)\/(f*f**(-21\/8)))\/(((f\/(f*f\/((f*f**(-13))\/f*f)))\/f)\/(f\/f**(6\/11))) assuming f is positive.\nAnswer: f**(2911\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000115412 to 6 dps.\nAnswer: -0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*w + w + 3*w - 5*w as r + f*w and give f.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-6) + 228\/(-36). List the prime factors of p\/((-2)\/(424\/6)).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15023440 (base 6) in base 2?\nAnswer: -1111110001000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waaaakaaaaaawwaaakaa. Give prob of picking 2 w.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*a - 2*a + 4*v, -3*a - v = 12. Let f be 3 - ((-36)\/(-24) + 170\/a). Let q = f + -19. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -21. Suppose -4*j - a = -0. Let g be 84\/(-3)*1\/j. Solve -5*z - g + 1 = -2*k, 2*k - 6 = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1420447.\nAnswer: 7, 202921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.05, 0.5152, -0.4, -79.\nAnswer: -79, -4, -0.4, -0.05, 0.5152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -180.468 and -0.0048?\nAnswer: 180.4632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 24. Which is the closest to 0? (a) 0.2 (b) 2\/15 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -373133.0814157 and -0.03.\nAnswer: -373133.1114157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1982905445 a multiple of 2399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00078 to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 17*p - 1. Determine v(16).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -700.31 - -704. Let m = 3.49 - s. Which is the nearest to m? (a) 1 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 203304*n**2 + 321250?\nAnswer: 406608*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-26)\/(-2) + (115 - 7370\/67)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*-2 + sqrt(272)*1)**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/26*16\/(-10)*(-3 + 2)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cep when three letters picked without replacement from {u: 1, o: 1, e: 5, p: 3, c: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -117454 - 574?\nAnswer: -117a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*k - 192*k - c = -213, 2*k = -c + 429. What is the remainder when k is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*w + 17*w + 49 - 136. Solve 6*g - 3*g = 4*q + 3, w*q - 4*g + 11 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204 - 817\/4. Which is the closest to g? (a) 2\/23 (b) 3.39 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, -639895, -3, -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 291*g**7\/7 - g**4\/2 - 510*g**3 + 1188. What is the third derivative of a(r) wrt r?\nAnswer: 34920*r**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 3*h - 18 = -l, 5*l - 3*h = -22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.06, 5, -0.4, 1, 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**6\/120 + s**5\/12 + s**4\/24 + 2*s**3\/3 + 6*s**2. Let k be d(5). Is (0 - k\/(-3)) + 2 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713594351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n**2 + 2 - n + 6*n**2 + 2*n**2 + 1 - 10*n**2 as j + y*n**2 + c*n and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 7:57 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 = 12*p + 162 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -0.07 (c) 0.43 (d) -5 (e) 2.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, x: 11, s: 1, j: 2, p: 1}. What is prob of sequence spxj?\nAnswer: 11\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.4802 - -5.4802. Let z = 136\/7 - 1831\/91. Which is bigger: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/2 + 15*n**3\/2.\nAnswer: 3*n**3*(n + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -22869, -46, -5 in decreasing order.\nAnswer: -4, -5, -46, -22869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a hour in minutes?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50\/11 + 372\/77. Let v(a) = -4*a - 3. Let y be v(6). Let j = y - -28. Does j = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 1. Let w(p) = -p**3 + p**2 - 1. Let h(l) = -c(l) - 3*w(l). Differentiate h(v) wrt v.\nAnswer: 6*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.96 - -0.04. Let l(s) = s**3 - 7*s**2 - 6*s + 3. Let g be l(7). Let r = 155\/4 + g. Is k not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + -39 - (3 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**3\/9 - 14224*i**2\/3 + 37878448*i\/3 + 911815808\/9 = 0. What is i?\nAnswer: -8, 5338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**3 + 58*i**2 + 74*i + 52. Let k be d(-56). What is k rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1076, 2150, 3224, 4298, 5372, 6446?\n\"Answer: 1074*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 475*g**3 + 131*g - 243 + 17 - 131*g - 221*g**3 wrt g?\nAnswer: 762*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.1. Which is the closest to -2? (a) 3 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 24994*v. Let b(g) = -g - 758. Calculate p(b(z)).\nAnswer: -24994*z - 18945452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-46410)\/(-462) + -113.\nAnswer: -72\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12977388*f + 15708181 wrt f.\nAnswer: 12977388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.06763 or 707?\nAnswer: 707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c. Let m(f) = 3*f. Let x(y) = -2*y - 2 + 3*y + 2. Let j(p) = -4*m(p) + 11*x(p). Calculate 26*j(q) - 6*l(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - 2.2. Let a = -4 - z. What is the nearest to a in -2, -1\/2, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 2:27 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6342, -6344, -6344, -6342, -6338, -6332, -6324?\n\"Answer: u**2 - 5*u - 6338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -1110 - 1240. Let q be c\/2*(-110554)\/(-5). Let z = q + 296038. Round z to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 207, 1\/5, -9, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/5, 2, 1\/937?\nAnswer: 1\/937","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*3*sqrt(208) + (sqrt(1872) + -1 - sqrt(1872))*1 + sqrt(1872) + (1*sqrt(1872))**2 + -2 + sqrt(1872).\nAnswer: 48*sqrt(13) + 1874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 12 = 3*d - t, 5*d = t + 28. Suppose 2*l = 6*l - 52. Suppose -d = -2*r - l. Sort r, 4, -3 in ascending order.\nAnswer: r, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (-95 - -52) + 1 + 78?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*u - 17. Suppose -3*h - 3*p + 27 = 9, -u*h - 2*p + 20 = 0. Suppose h*d + 2 = -3*y, -4*d - d = 25. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34126013 - 26?\nAnswer: -34126040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -13. What is the biggest value in 0.4, 0.3, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 - 3072*n**3 + 780264*n**2 + 3158016*n + 3170352.\nAnswer: 3*(n - 514)**2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 1)\/((-124)\/(-20) - 6). Suppose -t - 2*u = -13593, 0 = -o*t + 5*u + 76667 - 8717. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**8\/6720 + o**7\/504 + o**6\/180 - o**5\/60 + o**4\/4 - 3*o. Let n(z) be the third derivative of u(z). Determine n(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**3 - 3*y**2 + 5*y - 7. Let o(j) = 35*j**2 + 517*j - 124. Let g be o(-15). What is b(g)?\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -30445, -0.67?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2322, -4648, -6974?\n\"Answer: -2326*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - 661*g**2 + 2286*g + 983. Let m be k(327). Let n(f) = -f**3 - 5*f**2 + 6. Let v be n(-5). Solve 5*x = -2*o - 13, v*x = m*x - 12 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, 22, 24?\n\"Answer: 2*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1167833\/96 - 12164. Calculate the common denominator of 83\/240 and f.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005160469 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 9:21 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 2*a - 15)*(11*a + 7*a - 5*a)*(-212*a + 432 - 432) to k + c*a**3 + j*a + d*a**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 - 2016347*v + 7*v**2 + 2016347*v.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 63448666 and -176.\nAnswer: 63448490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n - 117 = -222 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 12*w**2 + 10*w + 16. Let r be v(11). What is the second derivative of r*q + 3*q - 4*q**4 + 2*q + 12*q**4 wrt q?\nAnswer: 96*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 5:49 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**7\/210 - 239*r**6\/120 - 125*r**4\/8 + 9*r**2 + 25*r. What is the second derivative of k(g) wrt g?\nAnswer: -12*g**2 - 1434*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9027 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 214 and 51574?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h. Suppose -x + 0*x = 0. Suppose r + 2 + 5 = 3*t, x = -r - t + 5. Let l(d) = r*d**2 + 4*d**2 - 2*d**2 - d**2. Determine l(f(k)).\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/22 - -35\/198. Let b = 0 - 0.1. Which is bigger: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/(-9)*3\/(-2). Let k = b + 20. Solve -3*i = -8*i - k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*c**4 + 77*c**3 + 59*c - 5951832?\nAnswer: -40*c**3 + 231*c**2 + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 43?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*b = 92, 0 = -0*h - 3*h - 3*b + 294. Let t = h - 62. Calculate the remainder when t is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17712 + 65335. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h + 20*h - 168. Let i(v) = -21*v - 4. Let l be i(-3). Let y = l - h. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -960 divided by 6\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 3*y**2 - y. Let k be o(2). Suppose r - 2*g + 4 = 0, 5*r + 11 = 2*g - 17. Let h = k - r. Solve h*j = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 116 in -0.269, -7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-24 - -31) + -7 - 10?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 = o + 2*o, 3*h = -4*o - 8. Let r be 78\/12 + o\/(-4). Which is bigger: -1\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34611\/8 + -4332. What is the common denominator of i and 0 + (50\/(-36) - -1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**5\/5 - v**4\/3 + v. Let k(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggzwggsgjwcgggscg. What is prob of picking 1 j, 1 c, 1 w, and 1 g?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 60 (b) 33 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000727504 rounded to six decimal places?\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-2)*(-456720)\/96880.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2143.1065 - 2141.50649928. Let w = g + -1.6. What is w rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70.71 + -1.71. Let g = x + -68.999715. What is g rounded to five decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 3*q - 6*q)*(315*q**2 - 121*q**2 + 157*q**2).\nAnswer: -351*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -283*v - 1524. What is the tens digit of j(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 - 1b543b9?\nAnswer: -1b543cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(3 + (-56)\/20). Let n = -1 - -1.1. What is the nearest to n in 3, -4, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 9658662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 4292604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21649*w*z**3 + 37*z**3 - 2*z - 8 wrt w?\nAnswer: -21649*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {b: 13, x: 3, l: 1}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 34 = -2*v, -4*v - 2*r = v - 86. Let p = 62 - 35. Calculate the greatest common divisor of p and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4234.7+-18.5\nAnswer: 4216.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*n - 3 + 18*n + 4 + 2 to the form z + k*n and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 76846291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -2012202?\nAnswer: -2012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 218 - 109 + 2*l in the form j*l + z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7306 - 1.7306. Which is the closest to s? (a) 53 (b) -9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 5*v + 1. Let o be a(-6). Suppose 224 = -o*k + 6*k. Calculate the common denominator of 63\/10 and (k\/(-35))\/(6\/(-10)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -9. Calculate the greatest common factor of 161 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((0 - 0)*1)\/1. Suppose b = -2*f - 1 - 3. Let m = 115 + -579\/5. Which is bigger: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((1*sqrt(121) - sqrt(121))*1 - (sqrt(121) - -1*sqrt(121))*-2)\/((-1*sqrt(1078) - sqrt(22))\/sqrt(2)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -16*t - 23. Let n(r) = 46*r + 72. Calculate 4*n(h) + 13*y(h).\nAnswer: -24*h - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from {x: 2, d: 1, p: 2, u: 1, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297\/(-9)*(6\/16 - 11\/8) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4705.447 litres?\nAnswer: 4705447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5359 - 5358.338. Let u = -2.622 - -2.6. Let d = j + u. Round d to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(5) + -2*(0 + sqrt(5)) - 1*(sqrt(5) + 2)) + -5 + (6*sqrt(125) - (sqrt(10)\/sqrt(2) + 5)))**2.\nAnswer: -378*sqrt(5) + 3694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 - 4*s - 4. Let a(k) = k**2 - k - 1. Suppose -8*l + 10*l + 3*o = -13, -5*o - 27 = -2*l. Let u be l - -2 - 6\/(1 - 0). Give u*a(r) + x(r).\nAnswer: r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + (-60)\/10 + (-342)\/(-87).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 429, 1746, 3937, 7002, 10941?\n\"Answer: 437*t**2 + 6*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -81*z**5 - 1503*z**4 - 5476*z**3 - 4144*z**2 + 2720*z - 336 = 0.\nAnswer: -14, -3, -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2482, -2\/243, 0.1 in increasing order.\nAnswer: -2\/243, 0.1, 2482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79892 + 29639971\/371. Let g = 97\/4 - 5149\/212. Let h = g - z. What is the closest to -0.1 in h, 2\/13, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 779488 and 779468 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 806*t**2 + 426*t**2 + 378*t**2 + 93*t**3 in the form l*t + o + m*t**3 + x*t**2 and give m.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6}. What is prob of picking 4 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 1. Let v(s) = 1785*s**2 - s - 4. Let q(j) = 4*r(j) + v(j). Let l be q(-1). Suppose -9*i + 0*i = -l. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(2*sqrt(8) + sqrt(8))*4 + -2 + 2*sqrt(512))*5)**2*-1.\nAnswer: -540900 + 10400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1151*k - 17189. Let v = -68 - -107. What is the remainder when h(15) is divided by v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**7\/4200 + g**5\/150 + 23*g**3\/6 - 73*g**2. Let b(f) be the first derivative of y(f). Let b(l) = 0. Calculate l.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4))**5*(i*i\/i**(2\/7))**5)**39 assuming i is positive.\nAnswer: i**(10725\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -14*q. Let i be h(-3). Let b = -16 + i. Suppose 3*y = 4*y - 50. What is the remainder when y is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (42\/4)\/((-1)\/4). Let w be (5 + -6)\/(-1*(-2)\/(-460)). Let z = w + -273. Is a less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - a + 2*a + 3*a + 1 - 1 - 3*a + 0*a + a + (-2*a - 3*a + 3*a)*(3 - 4 - 1) - 7 + 7 + 4*a)*(-58*a + a**3 + 25*a + 25*a).\nAnswer: 8*a**4 - 64*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5694 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -524, -6, -3 in descending order.\nAnswer: -3, -6, -524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 12 = -2*u - l, 4*l + 12 = 2*u. Solve -u = -2*k + 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jppxtppjaetajjppap. Give prob of sequence apae.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59)\/((-83190)\/517) + 4\/30?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -186991 and -5976640?\nAnswer: 5789649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b**3 - 2*b**2 + b - 5. Let a(k) = 1. Let l(p) = 5*a(p) + r(p). Calculate l(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3577084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 - 4 - 3 + 7 in the form t*q + a*q**2 + w and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 178174955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70675)\/777425)\/(1\/11*5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.055 - -0.345. Let l = -34 - -32. Let u be (-9)\/24*l\/(-3). What is the second smallest value in 2, u, d, 9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 3, v: 4, m: 2, c: 4}. Give prob of picking 2 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 2*u - 6*n = -28, -957*u = -954*u + n + 52 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*l**3*u**2 + 13*l**3*u - 5*l**2*u - 78*l*u**4 + u**4 + 2149*u wrt u.\nAnswer: 98*l**3 - 936*l*u**2 + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2111 - 2463 = 4*m + 2*p, -20 = 4*p. Let g = m + 2506. List the prime factors of g.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-5)\/t))\/t*t\/(t**(-1\/10)*t))\/(t**(6\/7)\/t*(t*t\/((t*t**8)\/t))\/t))\/(((t*t*t**(-8\/7)*t)\/t**(-5))\/(t**(-2)\/t)**45) assuming t is positive.\nAnswer: t**(-9003\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k - 30 = 0. Find the third derivative of -k*g**2 + 3*g**5 - 9*g**5 + 15*g**5 wrt g.\nAnswer: 540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 14*v + 549. Let j(u) = 6*u - 1. What is -2*j(g) + r(g)?\nAnswer: 2*g + 551","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 - 43. Calculate the remainder when o is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 554806430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/17)*l\/((l*l**3)\/l))\/((l*(l\/l**(1\/11))\/l)\/l**(-9))*((l**(-1)*l)\/l*l\/(l*l**(-2\/25)))\/(l*(l*l*l**3)\/l*l\/l**(-2)) assuming l is positive.\nAnswer: l**(-93251\/4675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 574092 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/4 and 67\/77590175.\nAnswer: 310360700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - -49. Let j = q - 233\/4. Suppose -p = -2*p + 2. Which is smaller: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -92*o - 1. Let l be y(-4). Suppose 0 = 2*t - 9 - l. Let u(w) = -490*w + 537. Let c be u(1). What is the greatest common factor of t and c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**4 - 105*t**3 - 365*t**2 - 435*t - 170 = 0?\nAnswer: -17, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 114, -3, 198, 1 in ascending order.\nAnswer: -3, -1, 1, 3, 114, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112628*l**4 - 119 + l**2 + 3*l**3 - 2*l**2 + 112628*l**4 + 19*l**5 wrt l.\nAnswer: 1140*l**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60430315 and 7130?\nAnswer: 3565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 96\nAnswer: 5\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*m - 8, 0 + 4 = -c + 2*m. Suppose 0*r - 5*r + 20 = c. Calculate the highest common factor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3498403*q**3 + 2470329?\nAnswer: -10495209*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066190 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*i - w, 4*w = -2*i - 2*i. Let y be i - (-4 - -7) - -4. Let r(p) = 0*p + 4*p - 2*p - 2. What is r(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28695, -28764, -28833, -28902, -28971?\n\"Answer: -69*q - 28626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121248578 to the power of 1\/2, to the nearest integer?\nAnswer: 46057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 129568868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 240, 495, 840, 1275?\nAnswer: 1800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 n when three letters picked without replacement from nthnhnnwtnthnt.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5253 = 141*s - 135*s - 125*s - 3434 for s.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from baah?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2. Let f(u) = -617*u**2 - 647*u**2 + 2296*u**2 - 337*u**2. Calculate f(n(p)).\nAnswer: 695*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4144 and 7941680?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwh when three letters picked without replacement from {w: 3, s: 2, f: 5, h: 7}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*u + 8. Suppose -x + u*x - 6 = 0. Suppose 2*f + 23 = 5*l + 4*f, 3*f + 3 = 0. Solve -6 = -k + 5*t, -6*k + x*k - 2 = -l*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.01 - 0.01. Let z = f - 6. Let m = z + -3.5. Sort -2, -3, m in decreasing order.\nAnswer: m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from {f: 5, y: 2, g: 1, r: 3, d: 1, p: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 4. Let z be k(-6). Suppose 4 = 4*g - z*g. Calculate the remainder when 2 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442 (base 8) to base 3.\nAnswer: 101202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/37? (a) 22 (b) -2\/3 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**4\/12 + 5*v**3\/6 - v**2\/2 - 17*v. Let i = 4 + -1. Suppose -y + 3*z = i*y + 39, 49 = -4*y + 5*z. Determine c(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6099287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*m - 9*k + 97 - 549 = -11*k, -5*m - 122 = -3*k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 - (-544)\/12*(-27)\/(-12)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, 732, -4, -250, 3, -5 in increasing order.\nAnswer: -250, -5, -4, 3, 5, 9, 732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.56 - 2.56. Let i = -42 + n. Let p(j) = j**2 - j - 1. Let f be p(3). Which is the closest to -1\/3? (a) i (b) -2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + (-5 - -1) + 6. Let h(y) = -y + 3. Let o be h(6). Sort c, o, 1 in descending order.\nAnswer: 1, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(22)\/sqrt(2)*-4).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 13 - 17*d - 3*d - 12 - 5*d**2.\nAnswer: -5*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 8. Let d(k) = k**2 - k + 1. Let n(b) = -2*b**2 - 16*b + 851. Let q be n(17). Determine q*x(z) + 2*d(z).\nAnswer: z**2 - 2*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 324 + -304. Suppose 3*v = -4*g - 16, -2*v = -3*g + 8*g + f. Which is the closest to 1\/3? (a) 4 (b) g (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzp when three letters picked without replacement from {y: 1, x: 1, o: 1, p: 1, z: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 63*g + 5. Let a = 40 + -39. What is the remainder when k(a) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161571, -161596, -161643, -161718, -161827, -161976?\nAnswer: -162171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 7167 = -3*c - 3*q, 0 = 3*q. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 14*y - 713. Suppose 5*t = 3*t - w + y, 0 = -3*t + 4*w + 98. What is the remainder when t is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 19 = -2*l + 5*f, 4*l + 13 = 5*f. Put -28, -4, l in increasing order.\nAnswer: -28, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -6.0043, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34*(1\/(-4) + (-546)\/(-312)). Let l = 130 + -51. Let v = -45 + l. Calculate the greatest common factor of q and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 34. Let y(k) = -k - 4. Let x be y(-4). Suppose x = -2*j + 4 - i. Calculate the highest common factor of j and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51*1.09\nAnswer: -55.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4561 is divided by 584.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5882 + -5883. Let w(r) = -29*r**3 + 2*r**2 - 2*r - 3. Calculate w(t).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(273\/(-2)))\/((-83)\/581)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**3 + 2*c**2 - 2*c + 1. Let t be z(1). Suppose 9 = t*k - 12. Find the common denominator of ((-24)\/64)\/(k\/(-11)) and -65\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*b - 339 = 0, -4*u - 137 = -2*b - 775. 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: What is the units digit of 372758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 2:04 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (0 - 2) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 - 0.13. What is the closest to -1\/3 in l, 1\/4, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -87744 - 458?\nAnswer: -88313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9*d = 40. Suppose -2*a + 2 = -d. Suppose 3*q + 68 = a*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -2557093\nAnswer: 3\/2557093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2 + 2 + v**2. Suppose -23*f - 35*f = -116. Let w(d) = -32*d**2 - 14*d**f + 81*d**2 - 12*d**2. What is w(i(j))?\nAnswer: 23*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -251*v**2 + 130*v**2 + 120*v**2. Let u(h) = -5*h**2. Calculate u(m(d)).\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2630 and 3525515?\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**7\/280 - q**6\/720 + q**4\/24 + 2*q**2. Let r(v) be the second derivative of t(v). Is r(-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4845708 a multiple of 1722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 4:59 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -346, -385, -444, -529, -646?\nAnswer: -801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 2*v + f - 1, -5*v + f = 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 7 + 5*p - 2 + 1. Let z be 512\/(-80) - 7\/(-5). Calculate x(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -123*n + 7262. Let x be y(59). What is the second biggest value in -4, -0.4, x, 10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpp when three letters picked without replacement from {p: 2, i: 1, n: 1, h: 1, b: 2, r: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002012 rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/575 and 38\/85175?\nAnswer: 1959025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - b**2 - 3*b)*(-313 - 155 + 342).\nAnswer: 126*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 204 - -53. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/5 - 25212*z**3\/5 + 616032*z**2.\nAnswer: 3*z**2*(z - 8280)*(z - 124)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)\/(z*z**(15\/8)))**(8\/5) assuming z is positive.\nAnswer: z**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 192336\/3929 <= 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 23252\/3219 and 7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**4 + j**3 + j**2 - 2. Let o(v) = -8*v**4 - 156*v**3 - 11*v**2 - 16*v + 12. Let n(b) = -o(b) - 6*z(b). Find the third derivative of n(w) wrt w.\nAnswer: 48*w + 900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 217.22 + -217.32379. Let j = 0.0988 + p. What is j rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 50?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/15 - -8\/15. Find b, given that -2\/5*b**5 + 0*b + 2\/5*b**4 + 0 + x*b**3 - 2\/5*b**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5167 (b) -1 (c) 1\/50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6985 - 7015.11. Let u = -30 - x. Let g = -0.1276 + u. Round g to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -17. Sort r, 3, 0, 5.\nAnswer: 0, 3, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5\/4 + 21*m**4\/4 + 7*m**3\/4 - 153*m**2\/4 + 63*m\/2 = 0 for m.\nAnswer: -3, 0, 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 46. Let k(a) = 3*a - 137. Calculate -7*d(o) + 2*k(o).\nAnswer: -o + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 3:58 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 + 6*s**2 + 128*s + 483. Let n be o(-4). Which is the smallest value? (a) n (b) 4 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, j: 1, r: 1, d: 1, i: 5}. Give prob of sequence in.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 7:30 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and (9 + (-285)\/30)*-14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 + 4*o**2 - 4*o - 5. Let g be j(-2). Let c be 9*g\/((-81)\/(-6)). List the prime factors of c\/11 + (-8)\/66*-246.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5275579 decades to centuries.\nAnswer: 0.05275579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9929.\nAnswer: 9929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -199\/6. Let u be (-2)\/(-8) + 3\/(-28). Which is the closest to 1? (a) u (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 266 + -135. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4026 + 0?\nAnswer: -4026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Let m = -19615 - -137306\/7. What is the nearest to -0.1 in o, m, 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -26*f - 621. Let b be s(-24). Solve 5*j - 11 = -n, 2*n = b*n + j + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 17521*v + 402975. Calculate x(-23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5113 + -5041. Solve -v*n = -80*n + 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 39*p - 36*p = -474, 2*f - 7*p = -414. Is f not equal to -221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-187)\/(-21) + (-6)\/(-63). What is the units digit of (-390)\/(-9) + 1 + 6\/h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 60. Suppose 2*g = -j + 3*g + 14, -5*g - n = 2*j. Differentiate -25*u + 16*u + 10*u**2 + j*u + 13 wrt u.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3. Suppose v = -a + 2 - 4. Does 11 divide 0 - 1*-16 - a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/381805385 and 54\/7.\nAnswer: 2672637695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2 - 6*p + 8. Determine d(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.95 * -41367.3.\nAnswer: 39298.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-14)\/1050*12)\/((-20)\/(-950)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-5))\/(9\/1260*-4). Let v be (-9)\/(-45) - q\/(-5). Solve 0 = -v*g + 11 - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -686 - -2715\/4. What is the common denominator of y and -71\/88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90932*f**4*t + 2*f**3*t + 1440293*f*t wrt f?\nAnswer: -1091184*f**2*t + 12*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 7:58 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4304 - -24897. Is o 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 94, 139, 210, 319, 478, 699?\nAnswer: 994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31626782 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -126, 32\/7 in ascending order.\nAnswer: -126, -1, 32\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302322 (base 5) to base 6.\nAnswer: -112544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(0 + 2 + 0)*(-4 + 3 - 1)*(4*c - c - 2*c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24636 - -24639. Solve -d + 84 - 99 = -4*i, 4*d = -5*i + w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 681754, 1363459, 2045164, 2726869?\nAnswer: 3408574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*g + 4*g - 2 = 0, 3*g - 3 = 2*j. Which is greater: j or 4\/35?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v\/(v**(-3\/10)\/v*v))*v)*v**11)**(4\/3) assuming v is positive.\nAnswer: v**(82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 - 16*y. Calculate u(11).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(0 + (-2 - -2)). Suppose 4*n - 5*j = -n - 20, 3*n - 4*j + 12 = s. Suppose -4*g + t - 19 = 4*t, -3*g + 2 = -t. Are n and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5734 or -0.4453?\nAnswer: -5734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 197?\nAnswer: 13\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 167*b + 158*b + 1 - 214*b + 1 + 0 to the form t*b + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 208261*g**5*x**2 + 2*g**2*x + 3*g**2 + 3*g*x - 104*x**2 - 6*x wrt g.\nAnswer: 12495660*g**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 670 = 3*o - 680, 5*m = o - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 + 3045*y**3 + 114192*y**2.\nAnswer: 3*y**2*(y + 39)*(y + 976)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -1)*(2 + 3). Let f(x) = -x**2 + 5*x - 1. Let v be f(p). What is the remainder when 35 is divided by (1\/v)\/(1\/(-12))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/6*-4)\/((-4)\/102). Let j = -306 - -323. Calculate the greatest common divisor of j and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1621154*z. Let p(u) = 6*u - 1. Determine s(p(m)).\nAnswer: -9726924*m + 1621154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.308 + -1.328. Which is the nearest to 0.1? (a) -4 (b) -2 (c) n (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*v - 38*v + 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*p**4 - 1148*p**2 + 3804*p - 174 wrt p.\nAnswer: -516*p**2 - 2296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 932, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -13*h + 56. Let o be (96\/(-364))\/(4\/h). Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 846645914 a multiple of 3903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47, -38, 45, 238, 577, 1098, 1837, 2830?\n\"Answer: 6*n**3 + n**2 - 36*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 6*((-564)\/(-72) - 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 11238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129172 a multiple of 846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/9*(-10 - -4). Suppose 0 = -2*r + 3 + 7. Sort r, 3, i.\nAnswer: 3, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikjpeypyyiyyi. Give prob of sequence kepp.\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-84) + (-1)\/((-14)\/(-548)). Let c = h + 43. Suppose -c*g + 247 = -113. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7546033 is divided by 369.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -899, -2148, -5541, -12152, -23055, -39324?\nAnswer: -62033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 3*a + 12, -q = 5*a - 0*a + 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 2*s + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 558218.3m?\nAnswer: 558218300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3430 + 43411013?\nAnswer: 43402033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**3 - 3*m**2 - 5*m - 5. Let g(z) = -2*z**3 - 2*z**2 - 3*z - 3. Let i = 18 - 23. Give i*g(h) + 3*o(h).\nAnswer: h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + (-10)\/6)\/((-270)\/405). Sort -183, 0, x.\nAnswer: -183, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 11:11 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -2*l + 1, 0 = -4*l + 15*h - 21657 + 21574 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.365972km to nanometers.\nAnswer: 7365972000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 336078679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 7316196?\nAnswer: -7316197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -341*s**6\/6 + 46*s**3 - 488. What is the third derivative of n(z) wrt z?\nAnswer: -20460*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 - d**2 - 2. Let k = 2 + -4. Does 10 divide g(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, k: 4, b: 1, x: 3}. What is prob of picking 2 z and 1 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, v: 4}. What is prob of picking 1 v and 2 w?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 0.21. Let o = 17.8740044 + -17.884. Let n = o + q. Round n to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.21812 and 63.\nAnswer: 391.74156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3456 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7980470*f**4 + 13697*f**2 - 18*f wrt f?\nAnswer: 191531280*f","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Add -33984876928 and 9.\nAnswer: -33984876919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - 1) + (35 - -7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, u: 8, v: 1}. What is prob of picking 1 v and 3 u?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -160. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*r - 92, -5*r + 58 = -2*m + m. Let l = 55 + m. Suppose 11 - l = x. Solve 5*j - 4*a = a - 50, -x*a + 35 = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 152853376?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/2507 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 118711 - 186?\nAnswer: 118536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 12*d + 116. Give q(-11).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = w + 11. What is the least common multiple of 6 and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7456, -17490, -27524, -37558?\n\"Answer: -10034*g + 2578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.8 - -4. Let z = 251 - 167. Let x = 96 - z. Which is smaller: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 2\/2595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3374.915ml in litres?\nAnswer: 3.374915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3\/4, 29, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 11*g + 3*x + 15 = 0, 4*g - 4*x - 12 = 0. Let y(h) = -h**2. Let j(u) = 5*u**3 + 3*u**2. Calculate g*j(s) - 3*y(s).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8649825.\nAnswer: 3, 5, 115331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 + -0.19. Let k = -0.0079 - 0.1921. Which is the third biggest value? (a) i (b) k (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 60 = 169*s - 173*s, 5*s - 3*u = 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.036483 - -0.0368. What is b rounded to 5 dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r**3 - 13*r**2 - 4*r + 9. What is x(4)?\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -731 equal to -730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/190322 and -97\/53218.\nAnswer: 11228998","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (158\/(-474))\/((-8)\/(-18))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -114 - -126. Let j(x) = -x**3 + 12*x**2 + 14*x + 23. Is j(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 15 = -8*t. Let r be 0 - 1 - (-35 - (2 + t)). Solve -3*a + 5 = -4*n + 12, 0 = 4*n + 5*a - r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d. Suppose m - 4*m = 5*t - 908, -716 = -4*t - 5*m. Let f(o) = -184 + t + 8*o. What is f(a(v))?\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 - 23*z\/2.\nAnswer: z*(z - 23)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 2*i - 2. Let n be u(2). Let f be (-2)\/5 - 46\/n. Let k = 2116 + -2118. Put k, f, 0.5 in descending order.\nAnswer: 0.5, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141395 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -202100222210 (base 3) in base 5?\nAnswer: -100312234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 - 9881*i - 7. Let m(o) = -2*o**2 - 9885*o - 6. Determine -6*h(c) + 7*m(c).\nAnswer: -2*c**2 - 9909*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -3 + 1 - (sqrt(275)*2 + 3))**2 - (5 + ((-2 + sqrt(11))*-4 - (0 + (sqrt(22)\/sqrt(2))**2))).\nAnswer: 54*sqrt(11) + 298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v - 193 + 169 - v - 2*v.\nAnswer: 5*v - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 31*i - 11*i - 4*i - 10*i. Let y(c) = c. Determine -r(h) + 5*y(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 13*z - 42. Let j be (120\/70)\/((52\/546)\/(1\/(-3))). Determine f(j).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 5:05 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/360 and -59\/19223928.\nAnswer: 96119640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5665842249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/65 - (1 - 89\/13). Suppose 10 = -q + h*q, -2120 = -2*b - 4*q. Is 48 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 2*sqrt(275) + 5)**2 + -5)*-2.\nAnswer: -2318 - 320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 9:00 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 18 (b) 1 (c) -284 (d) -0.03 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -336551, -336547, -336541, -336533, -336523?\n\"Answer: v**2 + v - 336553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1835 is divided by 589?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30, 104, 178, 252, 326?\n\"Answer: 74*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 64*q - 51. Let o be g(-5). Let w = 403 + o. Solve -35*a = -w*a - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**4\/6 - c**3\/6 - c**2\/2 - 19*c. Calculate u(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/7 - -909*4\/504. Factor o*y**2 - 25\/2*y**3 + 0 + 5*y.\nAnswer: -5*y*(y - 1)*(5*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -355 (b) 6\/11 (c) 2\/5 (d) 0.1153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.2 and -4156.\nAnswer: -4161.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5314*k**3*r**2 - 299*k**3 + k**2 + 517*k - 3909*r**2 wrt k.\nAnswer: 31884*k*r**2 - 1794*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/3 - 74*d**3\/3 = 0.\nAnswer: 0, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 903*q - 578*q**2 - q**3 - 908*q + 561*q**2 in the form n*q**3 + t + s*q + z*q**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22370, 21132, 19894?\nAnswer: 18656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -2. Let c = -408.6 - -396.6. Put o, c, -1 in ascending order.\nAnswer: c, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 1 - 72. Suppose 11*h - q = 226. Calculate the remainder when h is divided by 0 + 0 - -1 - -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61745384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3063\/7 + -60679\/140. Find the common denominator of -23\/20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*a, a + 30 = -4*p + p. Let i(m) = m**2 + 3*m + 13. Let b be i(p). Let c = b - 8. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 25 - 4)*(-3*k**2 + 0*k**2 + 2*k**2) to the form n*k**2 + b + j*k and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Suppose n*l + 13 = 2*x + 8*l, 0 = 4*x - 3*l - 65. What is the smallest common multiple of x and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from ooeeeoqqelloele?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-1)*(-119)\/1904*20.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26390\/41 or -644?\nAnswer: -26390\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 10 - 6)*(1 - 1 + 3)*(-4*r**2 + r**2 + 12*r**2).\nAnswer: 405*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 515 - 513. Suppose 3*o + 470 = 4*f, 0*o - o - u = 0. Calculate the lowest common multiple of 8 and f.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + j = -19, 2*k + 9*j = 11*j + 18. Let a(o) = -5*o + 14*o**2 - 35*o**2 + 12*o**2 + k*o**2. What is a(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120802243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20581 is divided by 20575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 370935689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/5 - 2908*i**2 + 29084*i\/5.\nAnswer: -i*(i - 2)*(i + 14542)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4 = 0, -2*k = -k + 3*h - 129. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 715216, 715255, 715308, 715381, 715480?\nAnswer: 715611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*b = -73*b - 352. What is the remainder when 1166 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 15*j**2 + 33*j - 11. Suppose 0 = -2*x - 0*c + 4*c - 38, -2*x - 36 = -2*c. Calculate the remainder when 29 is divided by u(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, 1.4, 0.118.\nAnswer: -0.16, 0.118, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194753\/28 + -6954. What is the common denominator of p and 20\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126.6 + 100. Let y = p + 22.6. Which is the nearest to 0.25? (a) y (b) 2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1215*d**2. Let i(k) = 3443*k**2 + 36*k. Give i(t(u)).\nAnswer: 5082642675*u**4 + 43740*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -177, -213, -287, -411, -597, -857?\nAnswer: -1203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 11 = 2*i, -4*i + 2*w + 195 = 193 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*y - 178 + 178 + (3 - 4 - 6)*(-y - y + 3*y))*(0 + 0 + 1)*(2*y**2 - y**2 + 4*y**2) to i*y**2 + l + u*y**3 + w*y and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**4 + s**4 - 3*s**4)*(2*s - 6*s - 7*s - s + (66 - 117 + 115)*(1 - 2*s - 1)).\nAnswer: 280*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 104\/795 or -1?\nAnswer: 104\/795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057165.\nAnswer: 5, 211433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - a + 151055805 + 44994187 = 0, -2*a + 235259984 = -6*p. Round p to the nearest 1000000.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m - 9. Suppose -4*v - q + m = -11, 0 = -5*v + 3*q + 26. Let r(y) = -y**3 - 2*y**2 - 2*y - 3. Let i be r(-3). Solve 0 = 2*g - i + v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 33222*v + 337. Is b(1) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**2 - 4*f + 32. Let p(y) = -y**2 + y - 16. Let n(q) = 2*p(q) + z(q). Let i(j) be the first derivative of 5*j**3\/3 - 3. What is i(n(h))?\nAnswer: 20*h**4 - 40*h**3 + 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b + 21. Let j be p(14). Let s = 11 + j. Solve 0 = -g - 4, -i + s = -2*g - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/4698 and -127\/864.\nAnswer: 75168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5 = -3*r, -5*r = 5*s - 20. Let f = 4 + s. Suppose -d - f*n + 28 = 9, 0 = -5*d + 3*n + 167. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 10*t + 12. Let h be k(9). Solve -2*l + h*f - 4*f = 5, -f - 5 = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in months?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4017 is divided by 448?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 10*o = -3, t - 2*o = 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 13) in base 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**3 + 9*b**2 + 4*b + 1. Is f(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6248 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*g*m**4 + 649585*g*m**3 + g*m**2 + 17313031*g*m wrt m.\nAnswer: 252*g*m**2 + 3897510*g*m + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7085490902.\nAnswer: 2, 7, 506106493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.0000006 - 4. Let u = 0 - v. Round u to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 + 2*j**3 + 5*j**3)*((-2*j + 11*j - j)*(1 - 4 + 1) + (2*j + 0*j - 4*j)*(1 + 1 - 3)).\nAnswer: -56*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.8686257 minutes to days.\nAnswer: 0.002686545625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 307c - -6?\nAnswer: 3085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4759 is divided by 1574?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t + 2*q - 43, 4*q - 16 = 0. Suppose 5*g = t + 3. Calculate the greatest common factor of 12 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 141, -1, 8 in decreasing order.\nAnswer: 141, 8, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 10:29 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -209 less than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + ((sqrt(170) - (2*sqrt(170) + sqrt(170)))*-6 + sqrt(170) - sqrt(170) - sqrt(170)))\/(sqrt(80)\/(-1*sqrt(8))).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, s: 1, e: 4, g: 2}. Give prob of sequence es.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4071*r. Let q(v) = 28739*v**2 + 28735*v**2 - 57470*v**2. What is y(q(h))?\nAnswer: 16284*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 3334?\nAnswer: 1\/1667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 - 6*v + 15. Let u be y(-12). Suppose -u = 5*o + 152. Let d = -76 - o. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*t + 112 = 47*t. Let o = 1.6 + -7.6. Let s = o + 4. What is the nearest to -3\/5 in t, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7536503.9879152608 + 7536504. Let s = 240.9878954608 + y. Let d = 241 - s. What is d rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {m: 2, v: 9, f: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/723246 and 67\/6.\nAnswer: 723246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -4\/53, 0, -3.434, 0.02?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73210903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/1 - 2)*40. Suppose 17 - w = -4*k - 5*g, -5*k + g = -65. What is the highest common factor of k and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlla when four letters picked without replacement from {a: 1, l: 5, y: 1, t: 4}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 4*k - 19*k + 0 to the form c*k + d and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -66. What is the second derivative of -24*k**2 + 13*k + 10*k + o*k**2 - 24*k**2 wrt k?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1311 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10239901.7 and 4.\nAnswer: 40959606.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4837 = 5*s + 1322, 0 = -s - 3*a + 709. Round s to the nearest 10.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + v + 356 = c, 0 = -5*c + v + 896. Solve 179*d = c*d + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 641588*i**2 + 2 - 2 - 1924757*i**2 + 641583*i**2 + 641584*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 31025751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7 - 7 - 8 + 1 + 138*j. Let k(i) = 413*i - 62. Let z(u) = 11*b(u) - 4*k(u). Is z(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*k - 2*k + k - k + (1 - 2 - 1)*(k - k + k) - 6*k + 3*k + 4*k - 15*k - 9*k + 8*k)*(0 + 0 + 2).\nAnswer: -34*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x**2 - 8*x**3 - 12 + 9*x**3 + 7*x + 0*x**3. Is h(6) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1586.02l?\nAnswer: 1586020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 3 = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/24*(2016\/80)\/(-7).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45149 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 139, 313, 557, 871?\nAnswer: 1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237 by 4.\nAnswer: -237\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**5 - 3*x**5 + 3*x**5 + 6*x**5 - 2*x**4 + 2*x**4 + (-2 + 2*x**2 + 2)*(0*x + 0*x - x**3) + x**5 - x**5 - 2*x**5 + 2*x**5 - 3*x**5 + 0*x**5.\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12902632 by -2.\nAnswer: -6451316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482 at most -40690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -928.2045 + 926. Let v = t - -2.2. Round v to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36132112 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-3)*(2\/1)\/(16*38\/5168)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + -4 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-10\/3) assuming m is positive.\nAnswer: m**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**5 - 8015*d**4 - 67100*d**3 + 4303340*d**2 - 29160480*d + 54129600 = 0. Calculate d.\nAnswer: -30, 4, 14, 1611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 3*h = -2*l - 27, 2*l - h = -21. Let s(j) = 4*j + 10. Let n(v) = 21*v + 51. Let p(o) = 4*n(o) - 22*s(o). Let m be p(l). Solve -3*t - m = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 899 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 1:22 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14 - -7) + 7\/(14\/12). Put s, 3, 0.3, 2 in decreasing order.\nAnswer: 3, 2, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -13*l**8\/6720 + l**5\/20 - l**4\/2 - 5*l. Let j(h) be the third derivative of b(h). Differentiate j(t) with respect to t.\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**2 - 316*z + 4226. What is the lowest common multiple of 1650 and u(16)?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t + 21*t + 9*t - t to w + j*t and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 836, 7 in decreasing order.\nAnswer: 836, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izizzsziiii. Give prob of sequence zzi.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/7504785 and 46\/153.\nAnswer: 127581345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.7657 - 0.4887. Round d to one dp.\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**3 - 678436*q**2 - 148041620*q - 8070858348 = 0.\nAnswer: -109, 169827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1200 and 80?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 27 - 8 = 0. Suppose 5*c - 380 = 4*t, 128 = 3*c + 2*t - 78. Let v = c + q. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 413, 410, 413, 428, 461, 518, 605?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128580230?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 24, 2, 5 in ascending order.\nAnswer: -7, 2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11311260, 11311269, 11311278, 11311287, 11311296, 11311305?\nAnswer: 11311314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 11*z + 4090. What are the prime factors of c(0)?\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3920 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5\/11 + 32*i**4\/11 + 72*i**3\/11 - 1152*i**2\/11 = 0.\nAnswer: -6, 0, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13046.026 rounded to the nearest 10?\nAnswer: -13050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 228 - 4. Suppose -y*k + 14536 = -216*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 - (-3)\/(2 - 3). Let a be ((-66)\/(-33))\/((-4)\/o). Solve -a*l + 7 = -3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 2:46 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 12. What is the closest to -1\/2 in 2\/19, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -118, -124, -132, -142, -154, -168?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 20 = -5*f + 7*q, -2*f = -q - 4. Suppose y + f*y - 2 = 0. Let w be (3\/y)\/((-6)\/(-16)). Solve w + 6 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**3 - p**2 - 4*p + 5. Let l be i(2). Find the common denominator of (20\/6 - 3)*l and -1\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**5\/5 - 11*t**4 + 7*t**3\/3 - 10. Find the third derivative of z(x) wrt x.\nAnswer: -24*x - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 327.6+-6793.5627\nAnswer: -6465.9627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 3. Let u be 28*y\/(-4)*-3. Let d = -6 - u. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 19.9. Let x be (-2 + -7)\/(-3) - 2. Let q = 0 + 2. Which is the closest to 0? (a) w (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -1\/4, -6\/11, 2\/21, -5 in descending order.\nAnswer: 2\/21, -2\/11, -1\/4, -6\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u + 912 = 0. Suppose -u = 112*w - 106*w. Is -38 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 10*n - 10. Let h(l) = 9*l - n*l - 6*l + 5*l. Let w(c) be the third derivative of -5*c**4\/24 + 4*c**2. Determine h(w(v)).\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4900.3 + 4900. Which is the closest to i? (a) -1\/4 (b) -3 (c) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.32241\nAnswer: 1.61205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2422, 2425, 2430, 2437, 2446, 2457, 2470?\nAnswer: 2485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -13 - (-2 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247701906*r + 247701906*r - 172*r**2.\nAnswer: -172*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsf when three letters picked without replacement from {j: 1, f: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 * -8\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 562367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23\/12 - -9\/4. Let s(r) = -r**3 - 5*r**2 - r - 3. Let t be s(-5). Suppose -2*u - 8 = -z, u - t*u - 5*z + 7 = 0. Which is bigger: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668258619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6637?\nAnswer: 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(3 - (3 - -1)). Let b(r) = 3*r**2 + 3*r. Let l be b(z). What is the greatest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15, -2, -144, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4441*v + 4450*v + 1 - v**2 - 8894*v - 7*v**3 to r*v**2 + i + h*v + g*v**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 10. Let x be n(-5). Suppose x = -t - t + 4. What are the prime factors of 9 + (-1)\/(-1 + t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 2 = 2*y. Suppose 624 + 552 = 2*z + 1038. Calculate the remainder when z is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-4) - (-1)\/2. Let c = -10 + 6. Let f = s - c. Solve f*d - 5*b = 14, -2*d - 2*b + 4 = -6*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + -1 + 4)\/2. Let z be (4 + o\/4)*1. Suppose 6 = 3*r, 2*r = z*q - 264 + 40. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2004099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.384, 348780 in descending order.\nAnswer: 348780, -0.384, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 156890736?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -2947*j**4\/12 - 1894*j**3\/3 - 2431*j**2. Differentiate c(k) with respect to k.\nAnswer: -5894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 5*p**2 - p - 7. Let s be m(-5). Suppose 42*n = 19*n - 38*n - 33*n. Put n, 1, -5, s in descending order.\nAnswer: 1, n, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132130 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2978423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-583615)\/25 - 6\/(-10). Let h = -344 - l. Round h to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 + 213*n**2 - 295*n - 2091. Determine i(105).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnn. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 28994.9 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.89 - -0.11. Let j = -17010 - -17005. Which is the second biggest value? (a) p (b) 0.09 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130340 (base 8) in base 9?\nAnswer: -68101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 6*x**2 + 6*x - 3. Let u be t(5). Let p = 24 + -18. Let q(l) = l + 17*l**2 - 2 - 18*l**2 - 3 + p. Give q(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -22*n. Let b(k) = -294702*k. Determine g(b(l)).\nAnswer: 6483444*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.062 times 3\nAnswer: 0.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, c: 3, n: 4, j: 3, u: 4}. Give prob of sequence nfcc.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 12:32 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7026670?\nAnswer: 2, 5, 7, 37, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 8*p + 4*l - 56, -4*l = -p - 31 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10925944, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 1)\/((-12)\/(-48)). Suppose 3*c + d = 5*c. Solve 0 = 4*l - c - 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 - -21 - -45 - (1 - 142)?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 3707820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-26)\/d)\/d*d*d**(-1\/64)*d**36\/(d\/((d*d**(-22)\/d)\/d)) assuming d is positive.\nAnswer: d**(-961\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -75, -32, 11, 54?\n\"Answer: 43*j - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 396703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3, 4*j - 5*r + 45 = -j. Let k be 3\/j*2 + 45. Suppose 0*s - 4*s = -k. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-63)\/(-14)*16\/6 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/962 and -47\/3700.\nAnswer: 48100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 302 divided by -302\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6184, 12325, 18466?\nAnswer: 24607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 735*m - 92. Let f be j(-4). Let k = -2055 - f. What are the prime factors of k?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -175*x + 171*x + 568. Let l = x + -140. Solve -l*c + 13 = 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*-4*1\/(-4). Sort c, -4, 3 in descending order.\nAnswer: 3, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*t**2 - 102 - 37*t**4 + 38*t**4 + 7 + 7 - 12 wrt t.\nAnswer: 4*t**3 - 102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -29*v**2 + 6893*v - 311535. Give j(177).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 466, 932, 1398?\n\"Answer: 466*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*p = p + 3, 5*p + 22 = d. Let x = -1332 + 1340. Put x, -2, d in increasing order.\nAnswer: d, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 132*j + 99. Give p(-3).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -484, -1, -7 in ascending order.\nAnswer: -484, -7, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1215\/(-63))\/(4\/(-7)). Let d be ((-4)\/16*-2)\/(2\/140). Which is greater: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.1129435999626+-0.2\nAnswer: -8.3129435999626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39086 + 12\/4 - 10\/(80\/(-56))?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.2274 + 8393.\nAnswer: 8396.2274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - (1 - -2 - 2 - -1)) + 6111 + -6118\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38, -55, -74, -95, -118, -143?\n\"Answer: -o**2 - 14*o - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 43094*v + 947981. Determine r(-22).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/33 and 73\/484.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -20*g**2 - 9*g - 19. Let z(y) = 9*y - 40. What is z(w(p))?\nAnswer: -180*p**2 - 81*p - 211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/((-60)\/(-84)) + -7)*(-2 + 1). Solve 39*t + 188 + 7 = r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.09 (b) 0.036 (c) 0.911 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (13 - 2) - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 + 0)*(75*x**4 - 13*x + 33*x - 5*x - 13*x).\nAnswer: 375*x**4 + 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 12 - 8 + 12*f**2.\nAnswer: 12*f**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2746 - 3180. Which is bigger: -435 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/99600672 and 43\/711?\nAnswer: 298802016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 0 + 64*f - 25\/42*f**7 - 19\/4*f**4 + 0*f**3 + 0*f**2 + 0*f**6 - 1\/20*f**5. Find the third derivative of r(a) wrt a.\nAnswer: -1500*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5848 = 625*m - 281*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -7. Let v(b) = b**3 - b**2 + 2*b + 12. Let g be v(0). Which is smaller: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3*(-1743)\/14. Let d = -163\/2 + o. What is the second smallest value in 0.5, d, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -269, -13, -4, -2, 62 in decreasing order.\nAnswer: 62, -2, -4, -13, -30, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, and 2 l when four letters picked without replacement from {l: 2, b: 1, n: 1, f: 2, z: 1, v: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-210)*(308\/451)\/4?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 42323?\nAnswer: -42323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -21 + 1. Suppose -s + 8 - f = 0. Suppose -d + 10 = -2*h - 6, 0 = 4*d - 2*h - 88. Calculate the least common multiple of s and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -1234?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/((363\/18)\/(-11)*-3)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19766088.\nAnswer: 2, 3, 274529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**2 - 3*f. Let j = -51 - -53. Is h(j) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.59 + 51.36. Let n = 63 - s. Let j = -0.05 + n. Is j < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8871850\/3 - ((-660)\/(-9))\/(-44) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from {p: 12, u: 1}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5616))\/(2*sqrt(300))*3.\nAnswer: 9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/4576 and 5\/13442?\nAnswer: 215072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 10 = -2*h, 14993*h - 14992*h + 9 = -4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 5*g - 3. Let f(k) = k**2 + 8*k - 14. Let d be f(-10). Suppose 0 = 5*z - l + 33, -2*z - 4*l = z + d. Does 3 divide r(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + 6*b + 18. Let v(j) = 4*j**2 - 11*j - 35. Calculate -11*q(k) - 6*v(k).\nAnswer: -2*k**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**2 - 8*p - 44. Let b(m) = 5*m**2 - 5*m - 29. Let y(z) = -8*b(z) + 5*k(z). What is the first derivative of y(r) wrt r?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212 - 219 - (1 - -1 - (-2 - -7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.6 - 0.4. Which is the closest to -3? (a) g (b) -2\/21 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -882*-2.7.\nAnswer: 2381.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1850*b. Let m(j) = -12*j + 7. Calculate m(y(n)).\nAnswer: -22200*n + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100111101110 - -11110010?\nAnswer: 10101011100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**2*y**3 - 50*o**2*y**2 - 1599*o**2*y - 11775*o*y**2 - 3*y**3 wrt o?\nAnswer: 4*y**3 - 100*y**2 - 3198*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/5 - -2\/5. Is 2 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 + -88. Solve 5*q - 1 = 2*j - s*j, -j = -1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h - 3. What is o(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -3\/5 (b) -2\/15 (c) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -k + 1. Let a be (-4)\/k + 6\/15. Solve a = -o - 0 - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 14363*i. Let o(y) be the first derivative of 2*y**3\/3 - 54. Give o(j(l)).\nAnswer: 412591538*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/11)*d)\/d)**(-35)*d**(1\/3)\/d*d**(4\/13) assuming d is positive.\nAnswer: d**(3941\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 - -2.2. Let o = 5 - 4. Let v = -1365.8 + 1366. What is the closest to o in v, -0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11 - (-2 + -4)\/3. Let y = -7 - s. Find the third derivative of 61*j**4 - 31*j**y - 15*j**4 - 2*j**2 - 5*j**2 wrt j.\nAnswer: 1104*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6324 and 2414156?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*b - 11*b**4 + 18*b**4 + b - 7*b - b**2 - 15*b**4 + 1 in the form r*b**2 + j*b**3 + a + z*b**4 + k*b and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101399 - 62076. What are the prime factors of h?\nAnswer: 39323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h**3 - 3*h**3 + h**3)*(0 - 3 + 5) - h + h - 6*h**3 + (2 - 3 - 3)*(2*h**3 - h**3 + h**3) to b*h**2 + x + c*h + y*h**3 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -10*t + 32. Factor 4\/5 + 9\/5*z**2 - t*z.\nAnswer: (z - 2)*(9*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.4. Let g = -0.11 + -1.89. Is k bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 226?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 25 - 14 - w**2 - w. Let z be i(0). Suppose -z*f + 8149 = -9858. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 85337 + 5598 = 0. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 - 126. Let i(c) = -4*c**2 - 3*c + 0*c + 2 + 3*c**2. What is i(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-12))\/(139945\/(-25836))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 96 in -2\/9, -0.1, 4, 194, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 11*o**3 + 13*o**2 - 13*o + 19. Let z(j) = -5*j**3 - 6*j**2 + 6*j - 9. Suppose -25 = 7*w - 116. Determine w*z(n) + 6*x(n).\nAnswer: n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(204) - (sqrt(204) + sqrt(204)*2)) - sqrt(204) - sqrt(204))*6)\/(-1*sqrt(192)*5)*-5)**2*6.\nAnswer: 22950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:10 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r**4 - 32 + 34 - 2*r - 4*r**4 + 2*r**4 - r**2 as v*r + j*r**3 + t*r**4 + a*r**2 + n and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102791173?\nAnswer: 71, 89, 16267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7994 and 1738124?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13069, 26174, 39301, 52462, 65669?\nAnswer: 78934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -72787 - 22?\nAnswer: -72809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -414 divided by -1\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 15. Suppose -5*r - f = -17 - 2, -5*f = -5*r + 25. Suppose r*q - 8 = 4*i, -3*q + 10 = i - 4. What is the remainder when p is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 16) to base 8\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/7 - 110*z**2\/7 + 212*z\/7 = 0 for z.\nAnswer: 0, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1174888051 to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*h - 628520 = 244*h. What is h rounded to the nearest one thousand?\nAnswer: 314000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/5)\/(h*((h\/h**(-6))\/h*h)\/h)*(h\/(h*h**(-3))*h)**(-1\/3))**(-9\/2))**(-2\/21) assuming h is positive.\nAnswer: h**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24\/673? (a) 1 (b) -1\/5 (c) 530\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-90))\/2)\/(-70*127\/(-53340))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/11, 4\/3, 1\/2, 4\/9, -5, 848 in ascending order.\nAnswer: -5, -17\/11, 4\/9, 1\/2, 4\/3, 848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126 + -124. Solve -2*t = -3*a - q, -3*t - 2*t = -2*a - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 3969572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - y - 8, -6*y + 13 = 3*i - 2*y. What is the lowest common multiple of 92 + (0 - 4) + i - -5 and 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-23)*l\/l**(-2\/3) assuming l is positive.\nAnswer: l**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t\/(t**(4\/5)*t)*t)\/t*t\/(t**2*t)*t)\/(t\/(((t*t*t**(1\/4))\/t)\/t))**17)**29 assuming t is positive.\nAnswer: t**(-7279\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 7*d**6\/120 + 13*d**5\/30 + 5*d**4\/6 - 4*d**3\/3 + 6*d**2. Factor g(x).\nAnswer: (x + 2)**2*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 40\/3*x**3 + 0*x**6 + 0*x + 0 + 48*x**2 + 0*x**4 + 0*x**5 + 13\/70*x**7. What is the first derivative of f(i) wrt i?\nAnswer: 156*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(324)*-1 - sqrt(324)))\/(sqrt(18)\/(sqrt(600)*1 + sqrt(600))).\nAnswer: 1440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -2\/7, -0.1, -2, 60369?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 12 - 73 - 62*v.\nAnswer: -62*v - 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11110010101 (base 2) to base 14\nAnswer: -9c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 222 - 220. Solve 5*g = d*g - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.86 - 2.86. Which is the fourth biggest value? (a) y (b) 2 (c) -0.5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(4\/9)*m*m**(1\/7)*m**1\/(m*m**2*m) assuming m is positive.\nAnswer: m**(-26\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5 + l**2 + 16*l**4 - 16*l**3 + 21*l**3 + 15*l**3 + 7*l**2 = 0 for l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49788 is divided by 7111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.3 and -0.155975.\nAnswer: -1.9184925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v + 20. Suppose -5*o - 2*k + 115 = 0, 0*o = -4*o - k + 95. Suppose -2*c + 3 = -3. Solve v*j + o = c*q, -q + 0*j - 1 = 3*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1373855 is divided by 6669?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151843461 and 21406.\nAnswer: 10703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-44)\/4*(-1)\/(-2)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1192, 1138, 1030, 844, 556, 142, -422?\nAnswer: -1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*1)\/(53\/53)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3 + 707*w**2 - 114080*w - 3927296 = 0. What is w?\nAnswer: -29, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 97074563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1174 - -1894. Suppose 24*p = 27*p - h. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83.5 + -84. What is the closest to 2 in -2\/11, 1\/4, r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(3 - 4 + 4)*(-m + m**2 + m)*(-59*m + 237*m + 4*m + (3 - 2 + 0)*(m - 3*m + 4*m)).\nAnswer: -552*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13857 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.4, -3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 190 + 188 = 0. Put -1679, v, 0 in decreasing order.\nAnswer: v, 0, -1679","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 4 (b) 3\/7 (c) 6 (d) 0.1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4203 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -637.1 and 72?\nAnswer: 709.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-14)\/3)\/(5\/(-75)) is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -788070 divided by -157614?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/29, -0.4, -5, 3088?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuup when four letters picked without replacement from uupuuupaaapnnuu.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/43))\/((y*y\/y**21*y)\/y) assuming y is positive.\nAnswer: y**(858\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7)\/b*b)**(-25)\/(b**(-2\/7))**(-17)*(b**(-4)\/b*b*((b\/(b\/b**(2\/17)*b))\/b)\/b*b)\/(b**4*b**(-6)) assuming b is positive.\nAnswer: b**(-270\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2716 and 212324?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0 + 5 - 2)*(2*k + 2 - 2 + (-2*k + 3*k - 3*k)*(4 - 3 + 1) + k - 5*k + 3*k).\nAnswer: 3*k**2 - 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxcfffojxffxfwffjowx. What is prob of sequence oxcx?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - (12 - (-9 + 32)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28583 is divided by 4865?\nAnswer: 4258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 1580?\nAnswer: -1576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -349173 and -474?\nAnswer: 348699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (0 - 2) + 4. Let u(k) = -k + 4 + k**3 + 33*k**2 - 66*k**2 + 34*k**m. Suppose 0 = -3*w + 2*v - 11, 5*w - 2*v + 19 = 2*v. What is u(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1480 and 35890.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from {j: 11, p: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(3744\/(-24)) - (-7)\/(-312)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 8, 42, 110, 224, 396, 638?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-56) - (45\/(-10))\/(7\/494). Solve -x*j = -331*j - 78 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, i: 9, q: 6}. Give prob of picking 1 i and 2 q.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993 is divided by 318.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 975 and 234?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -4*n - 674 + 666, 5*n = j - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**5\/60 + 5*s**4\/24 + s**3 + 3*s**2 + 1. Let m(h) be the second derivative of k(h). Give m(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 342\/1254 + (-11 - 358\/22) + (-1)\/1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27\/2 + 41\/3. Let z be 4\/14*(-49)\/(-12). Let v = z + r. Which is the third smallest value? (a) -4 (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-39)\/4)\/(3\/(-8)). Suppose w - 3*l - z = 2*w, 5*w = -3*l - 94. Let m = w - -41. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*p - 12 = 94 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77\/3 + -25. Let d = 2 - 1.6. What is the closest to -4 in -4, b, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 739\/1659 - 4\/237. What is the closest to 3 in -4, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 0. Let u be ((-6)\/(-10))\/((-28)\/(-20)). Let s = 1\/92 + -6\/23. What is the closest to r in s, u, 2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine sixteenths of a hour?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 6:46 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021101022202011002 + 2?\nAnswer: 1021101022202011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12653 * 695\nAnswer: -8793835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 + 4*p + 2. Let s be a(4). Let v = -14 - s. Factor 0*t - 1\/4*t**4 + 0 - 1\/2*t**3 + v*t**2.\nAnswer: -t**3*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7354, -7608, -8224, -9382, -11262, -14044?\nAnswer: -17908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.37 + 0.336. What is x rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4481 + -27011\/6. Calculate the common denominator of 33\/7 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127.02 - 127. Let p = -6.266 - -6.2. Let v = p + u. Round v to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26e06 (base 15) to base 13.\nAnswer: -4497c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 7:21 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 3 - 2)*(1 + 0 - 3) + 24413 - 9432 + 9040)*(v**2 - 3*v**2 + 0*v**2) in the form f*v**2 + i*v + k and give f.\nAnswer: -48046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 623085?\nAnswer: 8\/623085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957671291.\nAnswer: 957671291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -85995, -83365, -80735?\n\"Answer: 2630*j - 88625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 67 = -10*o. Let h be 14\/3*(-5 - -2). Let d = o - h. Solve 0 = u - d - 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h - 3. Suppose 0 + 6 = -2*j - 5*c, 5*j = 3*c - 15. Let m be w(j). Solve u + 14 = 3*a, -a - 3 - m = 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4037 - -1045. What are the prime factors of w?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 13*d - 4*d + 49 - 73 + 2*d. Suppose 10 + 14 = b - 4*y, b + 2*y = 0. List the prime factors of z(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -71113*i**2 - 6*i - 1. Let b(t) = -4*t**2 + 1. Let u be b(1). Let c be l(u). What is c rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78492930 divided by 6.\nAnswer: -13082155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 d when three letters picked without replacement from ndnnddnbtttntdd?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m + 13. What is the remainder when t(-9) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2295023 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/8*(-36)\/9. Let y be (-1)\/(n\/16*(-46)\/115). Solve 12 = 3*t + 2*k + k, 5*t = -y*k + 21 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3918*v - 352594 = -167*v for v.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1523, -1522, -1521, -1520, -1519, -1518?\n\"Answer: m - 1524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**2 + 2004*q - 502002 = 0.\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3\/2 (b) -2\/21 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 66*d + 6886. Let q be h(-104). What is the greatest common factor of 18 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -282 - -298. Calculate the remainder when 37 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 897 - 35883\/40. Let t = -107\/1960 - c. Suppose -n + 23 = 2*n - 5*p, -n - 7 = 2*p. Which is smaller: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-8)\/(112\/(-553)). Suppose -2*s + 4*s - 294 = 0. Let o = s + g. What is the highest common factor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5960 divided by 4.\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**4 + 13*v**4 - v**4 + (-2*v + 2*v + 2*v**2)*(v**2 + 2*v - 2*v) to g*v**3 + s*v**2 + c + j*v**4 + q*v and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 397, 2216, 6891, 15850, 30521, 52332?\nAnswer: 82711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40600*b**2*z**3 - 4*b*z**2 - 4*b + 3539054*z**3 + 2*z**2 - 2*z - 2 with respect to b.\nAnswer: 81200*b*z**3 - 4*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/((-560)\/(-126)))\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a*g + 144*a*u - 3*g*u**2 + g - 2*u**2 + 72 wrt u.\nAnswer: 144*a - 6*g*u - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -7*m + 80. Let q be ((-354)\/(-15))\/((-4)\/m). Let l = -55 - q. Calculate the remainder when l is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(6) + sqrt(42)\/sqrt(252)) + ((sqrt(5) - (sqrt(175)\/sqrt(5))\/sqrt(7)) + -4)**2.\nAnswer: 6*sqrt(5)\/7 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8258\/5 + -1651. Sort 8, -2, a, -1\/8.\nAnswer: -2, -1\/8, a, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = k, 55 - 35 = a - 3*k. Solve a*l + 0*f - 5 = -5*f, -5*f + 17 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Let c(l) = -2*l + l**2 + h*l + 9*l**3. Is c(1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1124 + 1125.34. Let x = 0.22 - -1.098. Let h = x - q. What is h rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 6*b**2 - b + 5. Let z be v(6). Suppose 342*y = 46*y - 343 - 1137. Sort -64, y, z in ascending order.\nAnswer: -64, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 306677.909437 - 15219485.865537. Let m = -14912171 - u. Let b = m - 637. Round b to 3 dps.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, a: 8, j: 3}. What is prob of sequence rra?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*w - 54*w + 31*w)*(3*w**2 - 5*w**2 + w**2)*(2*w - 6*w - 2*w).\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 6*x - x - 5*x + (0 + 0 + x)*(4 - 2 - 3) + 0 - 2*x + 0.\nAnswer: -15*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5796167 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-352)\/176)\/((21\/2)\/(2\/4))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1503*m - 69 = -1536*m - 168 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 19 - (97 + -110)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/9 - 19\/((-1881)\/440). Solve 15 - 1 = x - 3*r, -v*r = 20 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**7\/(((x\/(x**(-6\/7)\/x))\/x)\/x)*(x**(-1\/2))**20 assuming x is positive.\nAnswer: x**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 128.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26746478 minus 6.04617?\nAnswer: -26746484.04617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32529 is divided by 493.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 443, 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2448) + sqrt(2448) + -4 + sqrt(2448) + 5.\nAnswer: 1 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 15*k**2 - 2*k + 5*k + 1 + 12*k**2 in the form f*k**2 + i + w*k and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 239a - -4?\nAnswer: 239e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -319*h + 1601. Let t be v(5). Solve k = -m - t, -15*k + 10*k = -4*m - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(-1\/3)\/x*x))\/x**8)\/(x\/(x**(-3)*x))**(1\/2) assuming x is positive.\nAnswer: x**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -0.1, -7, -2 in decreasing order.\nAnswer: 0, -0.1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7364c2 + -31?\nAnswer: -736503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27\/(-66) + 3\/6. Let j = -3444\/5 - -688. Which is the closest to -1\/3? (a) r (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12983 or 17337?\nAnswer: 12983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4136 or -4138?\nAnswer: -4136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o - 34 = 0. Calculate the remainder when o is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 11 + 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2605 - 39049\/15. Let p = 2691\/20 - 168793\/1260. Find the common denominator of p and n.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.2 - 23. Let f = -4.1 + -0.9. Let j = f + y. Which is the smallest value? (a) j (b) -4\/3 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160561 (base 7) in base 12?\nAnswer: -16291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 1. Suppose 7 + 13 = 4*u. Suppose 0 = j + u*s + 3 - 2, 4*s - 4 = -2*j. What is z(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0*q**2 - 25*q + 0 - 1\/66*q**4 + 4\/33*q**3. Suppose m(k) = 0. What is k?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 0 + 1 + 13\/((-39)\/(-90))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, g: 13, i: 2}. What is prob of sequence lg?\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kggc when four letters picked without replacement from {c: 3, g: 5, k: 2, l: 3}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111a2 (base 11) in base 13?\nAnswer: baca8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*n + 1 = -363*n - g - 3, 0 = n + 5*g - 16 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52420 (base 8) in base 6?\nAnswer: 244452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 9:41 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 171 = 163 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14822, -29651, -44484, -59321?\n\"Answer: -2*l**2 - 14823*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 2130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 882 divide 18355302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f*w**3 - 945*f*w + w**4 - 62*w**3 wrt w.\nAnswer: 24*f*w + 12*w**2 - 372*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180284.\nAnswer: 2, 13, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 5*i**2 - 5*i - 6. Suppose 2*f + 8 = 5*y, -3*y + 6*y - 20 = 5*f. What is p(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 0 + -4 + (5 - (20 - 12)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2*r + 14, -4*v - r = -3*r + 20. Let d be 175 + (1 - -3) + v. Calculate the highest common factor of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3119 = -2*v, 0 = -8*v + 7*v + 5*j + 1552. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 3*p - 6*q, 2*p + 19 = 22*q - 19*q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1075 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 628277.4 years in centuries?\nAnswer: 6282.774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -12*d - 1. Let y be l(1). Let o = y + 22. Let h = 65 + -61. What is the smallest common multiple of o and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15003436 divided by -27.\nAnswer: -15003436\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3 - 17*j + 4*j + 11*j. Give l(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, -4, -212, -50, 1 in descending order.\nAnswer: 120, 1, -4, -50, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.517? (a) -3 (b) -0.7 (c) -0.1 (d) 5 (e) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 216594?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**4 - 3*c**4 - 3*c**4)*(-287*c + 1105*c - 2738*c - 1).\nAnswer: 3840*c**5 + 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29726968 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 13, -1, 0, 14, 0.087 in descending order.\nAnswer: 14, 13, 0.087, 0, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19003 or 18977?\nAnswer: 19003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2800) - (-2 + sqrt(2800) + -1) - (4*(sqrt(448) + 1 + 1 + sqrt(448)))**2.\nAnswer: -28733 - 1024*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*72971 - 1*(-6 + 14 + -11). Round o to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**5 - 57*q**4 + 342*q**3 - 444*q**2 - 264*q + 576.\nAnswer: -3*(q - 2)**3*(q + 1)*(q + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309534080952*i - 619068161899*i + 309534080948*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-3\/22))**(1\/17)*(f**(-1\/2)\/f)**6)**(-46) assuming f is positive.\nAnswer: f**(76843\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + (0 + (-6)\/(-15))*-5. Calculate the remainder when 101 is divided by g\/((-4)\/(-29)) + (-9)\/3.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-5)*-1*15\/(-2). Let j(f) = 2*f - f**3 - 3*f**2 - 4*f**2 + 6*f**2 + 0*f**2 + 2. Let y be j(-4). What is the highest common factor of w and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*y**3 - 2*y**3 + y**3 + 2*y**3 + 7 wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**6\/120 - 7*f**5\/60 - f**4\/3 - f**3\/6 + 2*f**2. Let k = 14 + -3. What is the least common multiple of k and o(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**3*u**3 - 396057*h**3*u**2 - h**3 + 1423*h**2*u**3 - 17*h**2*u**2 + 6*h**2 - 2*u wrt h.\nAnswer: 12*u**3 - 2376342*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 108.95.\nAnswer: 326.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 25706155?\nAnswer: 25706155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 9*g**3 + 6*g**2 - 6. Let a(o) = o**2 - 13584*o + 13584*o - 1 + o**3. Give 6*a(k) - b(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c + 44. Let a be u(14). Suppose -x - a + 69 = 0. Suppose x*n = 68*n - 4. Solve 2*j - n*j = 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 637 and 5978?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*v - 77*v + 30. Let q(z) = -8*z + 11. Let c(s) = -4*s + 6. Let w(b) = 5*c(b) - 3*q(b). What are the prime factors of w(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -a, -4*n + 3*a = -2*n - 478. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/17? (a) -2 (b) 0.1 (c) 2\/3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + -14)*((-1)\/3)\/1. Suppose i*j - 15*j = -204. Calculate the remainder when 98 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253 and 165484?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 1) + 1\/1. Let m = 7 - n. Differentiate 2*g**3 - 1 - g**3 - 2*g**m wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:30 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1343 divided by 17.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 23832 divided by -7944\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 2*y**2 - y + 10. Let w be p(0). Calculate the least common multiple of 10*(-2 + w - (1 - -4)) and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j. Let i(q) = -70*q - 38586. What is r(i(a))?\nAnswer: -70*a - 38586","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/235701691 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**5 - 12*n**4 + 15*n**3 + 97*n**2 + 5*n - 1. Let p(t) = -2*t**5 - 2*t**4 - t**3 + t**2 + 5*t - 1. Let h(v) = -a(v) + p(v). Factor h(o).\nAnswer: 2*o**2*(o - 3)*(o + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -19*j**4 - 14. Let t(m) = 19*m**4 + 14. Let z(o) = 2*n(o) + 3*t(o). Differentiate z(x) wrt x.\nAnswer: 76*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2197 - 1710 = 23*r + 10998. Which is smaller: -460 or r?\nAnswer: -460","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1320 and 3139935.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3763272.\nAnswer: 2, 3, 29, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*u - 4 = -58, 0 = -2*b - u + 36. Let t(z) = 22 - 34*z + 9 - 15 + 1 + 9. Let d be t(-4). Calculate the highest common divisor of d and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4)*-6 + 1. Find the third derivative of o**4 + 2*o**x - 4*o**2 + o**2 wrt o.\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = w + 3*l, 3*w + l - 117 = -2*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46815, 187346, 421735, 750120, 1172639, 1689430, 2300631, 3006380?\n\"Answer: 23*q**3 + 46791*q**2 - 3*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q + 18. Determine z(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/25120 and 37\/4.\nAnswer: 25120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 221\/26)*12\/7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458617 to the power of 1\/2, to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-9))\/((-22)\/(-297))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-5 + 0 - (1 - 6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 9:46 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 10:35 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -c8632?\nAnswer: -c8632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l - 11. Let d be o(6). Let g(k) = -8*k + 11. Let m(a) = -9*a + 12. Let z(w) = 5*g(w) - 4*m(w). Calculate z(d).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 162 - -13?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -52*y**2 - 4792*y - 736 = 0.\nAnswer: -92, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y - 7776 = 14*y. Let f = y - 229. What are the prime factors of f?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**3 - 10*c**2 + 7*c - 13. Determine i(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 15*o**2 + 1700*o - 6792. Give u(-117).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-6 + -14 - -26) + (1 - 2) + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 - 3*a**4 + 2*a**4)*(-17 + 9 - 19) - a**3 + 12*a**4 + a**3 + 3*a**4 + 2*a**3 + 2*a**4 - 3*a**4.\nAnswer: -13*a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 + 38 - (2 + (7 - 1))) + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = -1099 + 44403. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 8:15 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 15*z - 20. Determine u(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48227173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1479 - 2879\/2. Is 41 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1726 - -12235. What is the second derivative of -3*b**2 - 1 + 2*b**2 - 13958*b + j*b - 3*b**3 wrt b?\nAnswer: -18*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + f - 501*f**2 + 507*f**2 + 2*f + (0 + 0 - 2*f)*(0*f + 3*f + 0*f) + 0*f + 0*f + 2*f**2 to the form k + j*f + b*f**2 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130 by -10.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-8)*9\/((-27)\/30). Suppose 30 = 3*t - h - 80, w*t - h = 184. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -12. Let p(k) = -k**2 - 5*k + 6. Let x(g) = -g**2 - 5*g + 6. Let z(u) = 5*p(u) - 4*x(u). Let m be z(w). Solve 0 = h - m*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**3 - 663*l**2 + 2*l**3 + l**3 - 9*l**3 + 663*l**2.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 10*t + 328 - 232 = 0 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(2\/(-2))*62\/(-2418)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddrddddrddrd.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from {u: 4, v: 1, q: 8}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*p - 5*p + 15 = 0, 2*g + 5*p - 11 = 0. Suppose -2*z - 3*k + 64 = k, -3*z + 111 = g*k. Calculate the lowest common multiple of 12 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 4*a**3\/3 + a**2\/2 + 1. Let r = -1536 - -1621. Suppose 78*z - r*z + 7 = 0. Determine c(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45.7365 - -0.2635. Which is the closest to 4? (a) 0.5 (b) 4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**(-2\/11)\/g*g)*g)*g*g*g\/g**(-3\/4)*g)\/(g\/(g**19\/g)*g**(2\/5)) assuming g is positive.\nAnswer: g**(4437\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r + 4 = 0. Calculate the common denominator of (9\/(-15))\/((-8)\/(-155)) and 145\/20 + (-1)\/r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4266708444?\nAnswer: 2, 3, 118519679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - (-11 + (15 - 50)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 1 + 1 + (1 - 1 - 2)*(-6*b - b + 5*b) - b + 0 + 0 + 6*b - b - 4*b + (-b - 1 + 1)*(5 + 5 + 5) + 3*b - b - 3*b + (-3*b + 2*b + 2*b)*(4 - 3 + 1).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8176 and 9480072?\nAnswer: 18960144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, x: 2, r: 1, s: 2, f: 1, d: 1}. What is prob of picking 2 m and 1 s?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 55, -4, 5, -425 in descending order.\nAnswer: 55, 5, -0.3, -4, -425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/6)\/1)\/(44*20\/(-480))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - -1 - (6 - 2). Let h be 3\/(-1)*k\/(-6). Let d be -10*(h + -1)\/(-6). What is the third smallest value in 2\/17, d, -1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17762078 minus 944006?\nAnswer: -944005.82237922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7398.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (2 + 2*sqrt(684) - -6*(-2 + sqrt(684))))*-5)**2 + 0 + 3.\nAnswer: -12000*sqrt(19) + 1095028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-211)\/(-5) - (-8)\/(-40) is divided by 5\/(-10) - (-62)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728748 divided by 1306?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -24361, -0.08, 1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -s + 9. What is the remainder when (-58208)\/9416*(-11)\/2 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4895 + 4914. What is the closest to 1 in 5, 0.1, -2, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 5*k + 0*k = 0, -2*z + 5*k = 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-138)\/(-10) - 2\/(-10). Let z(o) = -30*o**2 + 12*o + 96. Let m be z(-36). Let c be m\/56 + 4\/q. What is c rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1900) - (sqrt(1900)*1 + 2) - sqrt(1900) - (sqrt(1900) - 5*(sqrt(1900) - (sqrt(1900) + 1))**2)))*4.\nAnswer: -80*sqrt(19) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -797\/15777?\nAnswer: -797\/15777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-858)\/22 - (-2 - 62)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**4 - r**3 - 10*r**2 - 11*r + 27. Let f(j) = -j**4 + 2*j**3 + 9*j**2 + 10*j - 28. Let t(h) = -3*f(h) - 4*m(h). Let t(a) = 0. What is a?\nAnswer: -4, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 11*a**2 + 2*a. Let h be c(-4). Let z be (16\/12)\/(2\/(74 + -2)). Suppose -z = 3*t - h. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 101\/(-5) + 1\/5. What is the tens digit of (l\/(-6))\/((-4)\/(-42))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 4) + -3 + (21 - 24)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 202 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-27) + -2)*(-6)\/(-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1734403 + -1188677. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22951\/135 - 170. Let f(c) be the third derivative of -1\/540*c**6 + 0*c + 2\/27*c**3 + 1\/108*c**4 + 0 + 4*c**2 - i*c**5. Determine y so that f(y) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 16530 = -14*m + 48666. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -19698.\nAnswer: 7879.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249*t - 244*t + 4 = 4*z, 5 = 5*z. Solve 4*f = 3*y - 8 - 17, t = -5*f - 4*y - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2219850 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2. Let g be 0\/(7\/(-8) + 4\/(-32)). Let o(d) be the third derivative of g*d**3 - 1\/20*d**5 + 0*d - d**2 + 0 + 0*d**4. Calculate o(b(s)).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-4 + sqrt(1573)*1)*-3 + 3*(sqrt(1573)*2*2 + sqrt(1573)))**2 + 0 + -2.\nAnswer: -679970 - 9504*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/5)\/(1\/5). Suppose o = -u*o + 135. Suppose 119 = -38*r + 651. Calculate the remainder when o is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 8*k + 15. Let a be c(6). Calculate the highest common factor of a and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54450*w**3 + 83637840*w**2 - 4055072*w + 49152.\nAnswer: -2*(w - 1536)*(165*w - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 353084 and 21836?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (4 - 2) + 12 + -7 + -4 - -55?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = l - 12. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -50694*o - 351555*o - 10 + 33240*o - 8. Suppose 0 = -4*q + 5*q + 2. Let k be b(q). What is k rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-190)\/(-285)*16\/4.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 57 (b) -0.1 (c) 1 (d) -24 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -19*(0 - 13) - 3. Suppose -3*n = -272 - y. What are the prime factors of n?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -53. Let g = 89 + f. Suppose 2*w - g = -3*o - o, w - 2*o + 1 = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 545 and 763.\nAnswer: 3815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**8\/p*p)\/(p*p**(-2\/49)*p)*(p*p*p**(-4))\/p**(-15) assuming p is positive.\nAnswer: p**(933\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11001 is divided by 1229?\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.749 - -6.878. Let l = t + -0.129. Let y = l + -2.0000044. What is y rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**4\/4 + m**2\/2 - m - 1. Let r(z) be the second derivative of -z**5\/5 - z**3\/2 + 3*z**2\/2 + 18*z + 2. Give 3*b(j) + r(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 11 - 18 = 0. What are the prime factors of (u - 24)\/(1\/(-2))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.031, -0.3, 1\/3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*o - 25, 2*o + 35 = -5*p - 0*o. Let m be (40\/12)\/p*1. Which is the closest to m? (a) -1 (b) -1\/6 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*l + 16, 2*p - 5*l = -9*l - 4. Let c(x) = 12*x**3 + 15*x**2 - 15*x + 15. Let i(n) = -3*n**3 - 4*n**2 + 4*n - 4. Determine p*c(h) - 15*i(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o**5 + 2*o**5 + 2*o**5)*(0 - 3 + 5) - 7*o**5 + 0*o**5 + 6*o**5.\nAnswer: -9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4525 - -4529. Are 121.4 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00101306638 to five dps.\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2503554 - 31?\nAnswer: 2503523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-59)\/11 + (-13)\/(-26) and 3\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (40*u**2 - 40*u**2 + 64*u**3)*(-4*u + 3*u + 0*u)*(1 + 0 + 0) in the form j*u + l*u**2 + i + o*u**4 + f*u**3 and give o.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 26. Let f = 26 - t. Let s = -39.1 + f. What is the third smallest value in -0.3, s, 2\/15, 3\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 93925480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -109940 and -12203182\/111 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q - 15. Sort 1, -0.5, q in increasing order.\nAnswer: -0.5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 5:38 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47897705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16692, -33343, -49962, -66549, -83104, -99627?\n\"Answer: 16*u**2 - 16699*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/1300 and -121\/15860.\nAnswer: 79300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13334 - 13331240?\nAnswer: -13312401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - 5. Let w be (t\/12 - -2) + 64\/(-84). Put -0.7, w, 1\/5 in increasing order.\nAnswer: -0.7, w, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-24)*v)\/((v*v**(-5))\/v) assuming v is positive.\nAnswer: v**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (204\/136)\/(6\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from egnnggggfggnnneegegg.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 24 = 8*b. Suppose b*u - 3*r = r + 44, u + 3*r = -9. What is the tens digit of (-2)\/(u\/267)*(-1 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.08, 37, 0.3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from aaaaxmxaxmaxammmxa?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Suppose -r*w = -2*t - 84, -2*w = 3*t - 84 + 28. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20235101 (base 8) in base 5?\nAnswer: -2043243003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 523643095?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - v - 18 = 0, 0 = 41*j - 38*j + 3*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*r = 38*r + 37*r - 64 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 + 111. Suppose c*l - 7*l - 30 = 0. What is the third derivative of h**6 + l*h**6 + 30*h**2 - 13*h**6 - 28*h**6 wrt h?\nAnswer: -4080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(88) + sqrt(88) + sqrt(88) + (1*sqrt(88) - sqrt(88))))\/((sqrt(64) - sqrt(64)*-1)\/sqrt(8)) + (-2 + (sqrt(891) + -1)*-2)**2.\nAnswer: -9*sqrt(11)\/2 + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 35 = 4*j - 2*b, 4*j = b + 23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 9:26 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -14*y + 95 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 2592*q**7\/7 + 36*q**3 + 2*q - 2595. What is the third derivative of w(p) wrt p?\nAnswer: 311040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 921*v - 103. Is r(30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 3*l + 4. What are the prime factors of u(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219, -1736, -5853, -13860, -27047, -46704, -74121?\nAnswer: -110588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5753 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 0 - (-25)\/5. Let d be (4\/q)\/(6\/153). Let c = d + -4. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5605972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(576))\/sqrt(12) + (sqrt(48)\/sqrt(4))\/sqrt(4) + 5 + sqrt(3)*2)**2 + ((-2 + 1*sqrt(3)*-1 + -5)*-1)**2.\nAnswer: 124*sqrt(3) + 440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 944990?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2. Let h(j) = 16*j**2 + 2*j + 2. Let m be h(-1). Let n be m\/140*(-14)\/(-12). What is the nearest to w in n, 0.1, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70909369723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 306 and 21573?\nAnswer: 43146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 436912 and 16476496?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 7:03 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*o - 22700 + 7944 - 38494. What is the lowest common multiple of o and 568?\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Let u = -15 + 14. Let s = -5 + u. What is the third smallest value in s, -1\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 1:56 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2 + 1)\/(-6))\/((-14166)\/(-292764))?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -378 - -383. Let 36*b**3 - t*b**4 + 225 + b**4 + 108*b - 265 - 100*b**2 = 0. What is b?\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 104*x - 22367 - 31817. Calculate the remainder when x is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -57*v = 25*v + 3*v - 595 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15814, 15996, 16140, 16228, 16242, 16164?\n\"Answer: -3*m**3 - m**2 + 206*m + 15612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11380, -533, 3 in increasing order.\nAnswer: -11380, -533, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174042 and 21978?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258129 is divided by 2283?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3597 + 5776. Let t = z - 1256. What are the prime factors of t?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**2 - 21*k. Let o be h(4). What is the nearest to -0.1 in -3, 1\/2, o, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 q, and 1 n when three letters picked without replacement from qnyqkkqnqkqy.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 8*o - 9. List the prime factors of x(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3681, -5, 13893 in descending order.\nAnswer: 13893, 3681, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**2*x**3 + 12*v**2*x - 47*x**3 - x**2 wrt x?\nAnswer: 6*v**2 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 207*x**2 - 6654*x - 19954. Give p(-3).\nAnswer: 1871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpupppuxp. Give prob of picking 2 x.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 101*t**2 + 2 - 2 - 108*t**2. Let d(m) = 8*m. Let p(h) = -7*h. Let x(z) = 5*d(z) + 6*p(z). What is x(o(g))?\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 236630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -1\/4 (b) 21\/1418 (c) 0 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - 195459*p**2 + 10*p - 17 + 5*p - 8*p + 195453*p**2.\nAnswer: -6*p**2 + 13*p - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 725747 divided by -42691.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13830 (base 9) to base 4.\nAnswer: 2103033","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -71 (b) -0.2 (c) 1\/3 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Let z be (-75 - 1\/p)*125. What is z rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 + -0.18. Let x = 0.6 - 1. Let f = -0.2 - x. What is the smallest value in 0, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 1379.\nAnswer: -413.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -10 in ascending order.\nAnswer: -10, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-1)\/2 + 77\/22. Suppose -2*i = -2*v - 106, 0 = 3*i + 3*v - j*v - 175. What is the remainder when i is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2016, -1, 7 in ascending order.\nAnswer: -1, 4, 7, 2016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.4, 588.\nAnswer: -0.1, 0.4, 588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 63?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 81241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.51 + -1417.51. Let o = -1116.66 - u. Let m = o + -285. What is m rounded to 1 decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.43562 decades to years.\nAnswer: 54.3562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1791097, -3582155, -5373215, -7164277, -8955341, -10746407?\nAnswer: -12537475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/r)\/r)\/(r\/(r\/r**(3\/4)))*r**(-1)*r**0*r assuming r is positive.\nAnswer: r**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -447 + 1785\/4. What is the nearest to -2\/7 in c, 1, 2\/29, -8?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.6 + 3.66. Let k = 0.06 - m. Suppose -8*w - w = 18. Are w and k non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2011 - 2011 - 7*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5*a - 15, -2*c - 2*a + 0*a + 6 = 0. Suppose 2*t + 6 = -4*s, -2*t + 3*s + 17 + 12 = c. Solve 2 = -5*y + t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 231 and 0.1?\nAnswer: 23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29fa3b (base 16) to base 15.\nAnswer: -3951c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i**2 - 5*i**2 + 6*i + 7*i**3 - 2*i**3 + 5*i**2. Let v(k) = -11*k**3 + 13*k**2 - 13*k. Calculate 13*f(t) + 6*v(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 24. Differentiate 38 + 86*m**3 + 57*m**o - 81*m**3 with respect to m.\nAnswer: 186*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10386 and 2304?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3*n + 6, 0 = 3*y - 0*y - n. Suppose -q - m = y, -3*q + 1 = 2*m - 1. Put 2, -4, q in descending order.\nAnswer: q, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 4*k**2 + k - 5. Calculate the remainder when 10 is divided by n(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 44. Let v = q - -16. Which is bigger: -0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 64 and -83927.\nAnswer: -83863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -10.8. Suppose -t + 2*t = 0. Suppose t*o - 25 = -5*o. Which is the closest to w? (a) 1 (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158420 by -20.\nAnswer: -7921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2 - 218*f - 104. Let n be p(-54). Let m be 4\/(-6) + 26\/42. Sort n, -3\/4, m, -4.\nAnswer: -4, -3\/4, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/21)\/(6 - 280\/49). Suppose -v - 3*x + 3618 - 997 = 0, 4*v = l*x + 10420. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12215\/6, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-24279\nAnswer: -12139.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/2)\/(2\/(24*(-6)\/(-24))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138262*i**5*m**2 + i**5*m + 3*i**2*m - 2*i**2 - 140*i*m**2 - 10*i wrt i?\nAnswer: 8295720*i**2*m**2 + 60*i**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*q = -141*q + 1417 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 4*n = -4, 48*d + 1 = 53*d + n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -683442, -2733727, -6150868, -10934865, -17085718, -24603427, -33487992?\n\"Answer: -683428*l**2 - l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 4. Calculate the common denominator of 3\/((-54)\/(-40)) + -2 and g(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2. Let t(z) = 3*z**2 + 6*z - 6. Let n(s) = s**2 - s + 1. Let i(l) = -6*n(l) - t(l). What is a(i(g))?\nAnswer: 162*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 + ((-3)\/(-39) - (100\/(-52) - 6)). Solve -4*w + 12 = -2*o, -3*w = 4*o + o + h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3366 and -15049 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-44)*r)\/(r*r\/(r\/(r**(-1\/3)\/r))))\/(r**19*r**(-4\/7)) assuming r is positive.\nAnswer: r**(-1283\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 13. Let s = 11 + c. Let l = -3.000032 + s. What is l rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.6 + -0.4. Let v = 47 - 48. Which is the nearest to -1? (a) v (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1313.2393683 and -0.2?\nAnswer: 1313.0393683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -510, 4\/9, 13, -1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 11*v + 6. Let k be c(11). Let t be 1*-4 - (-25)\/(25\/k). Solve -2 = -t*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12221123 (base 4) to base 3\nAnswer: 1101100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39.24 (b) 2\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 130101007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 2\/9, 22 in increasing order.\nAnswer: -1\/8, 2\/9, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182, -2\/11, -26 in increasing order.\nAnswer: -182, -26, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -477407 and -2.501.\nAnswer: 1193994.907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + s + 68. Let g be l(0). Suppose -g*k = -24*k - 88. What is the third smallest value in k, -4\/3, -0.64?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + 7*z + 6. Let m(r) = r**2 - 3*r - 1. Suppose 9*k - 6 = 15*k. Let n(u) = k*p(u) - 4*m(u). Let b be 5*1 + -4 + 2. Determine n(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -131 + 569. What are the prime factors of b?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 1:41 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361858 is divided by 6267.\nAnswer: 4639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72983.15mg to micrograms.\nAnswer: 72983150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 742204057 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ciom when four letters picked without replacement from {c: 1, i: 2, o: 1, w: 1, m: 2, h: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwmmmwmwww. Give prob of sequence mm.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35438550943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -517dd?\nAnswer: 51800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.4 + -28. Let g(x) = x**3 + x**2 - 4*x - 3. Let j be g(-2). Which is the third biggest value? (a) h (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32360.492 - -3.812955.\nAnswer: -32356.679045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(45)\/(-5*sqrt(144)) - (-2*(sqrt(5) - (sqrt(5) - (sqrt(5) + sqrt(5)*1))) + -5)*2.\nAnswer: 10 + 159*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 2*z = 12, -6*z = -8*z - 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 - 296*i**2 + 228*i - 33896. What is y(148)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2)\/(-12) - 158246\/(-132)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 107690280781929.\nAnswer: -107690280781928.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-113 + -1)\/((-24)\/16). Let d = -60 + y. Let q(r) = 2*r**2 - 18*r - 48. Let k be q(16). What is the greatest common factor of k and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17555328 and 20160?\nAnswer: 87776640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*w - 17. Let q be 4\/w + (-3)\/5. Let v be (-3 - -3)\/(-1 - -3). Which is greater: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(0 - 12\/34). Let y = j + 43\/42. Let q = 1927\/68 + -78\/17. Find the common denominator of q and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-162))\/(5\/30). What is the closest to -2 in q, 1, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1516124 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4220280 divided by -190?\nAnswer: -22212","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 441 and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-2553)\/90*-1. Let l = 141\/5 - q. Find the common denominator of l and 714\/(-24)*2\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -24, -2\/3, -0.2 in decreasing order.\nAnswer: 5, -0.2, -2\/3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*o + g + 3*g, 2538 - 2546 = -2*o - 2*g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/5, 2, -33, 87.7, -13, -1\/3, 0.02?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24093726929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -14. Let d = 9 + 29. Suppose 50 = d*j - 33*j. Calculate the smallest common multiple of i and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/15)\/(z\/z**(27\/4)) assuming z is positive.\nAnswer: z**(349\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2607, 3, -56, 5 in descending order.\nAnswer: 5, 3, -56, -2607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 20, -5*v = 8*d - 12*d + 62741. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**5\/5 + 296*c**4\/5 + 45496*c**3\/5.\nAnswer: -2*c**3*(c - 242)*(c + 94)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2419865, 4839737, 7259619, 9679511, 12099413?\n\"Answer: 5*i**2 + 2419857*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wiiiiwwwiiiiiw. What is prob of picking 4 i?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 2*x)*(2*x - 1 + 1) - 80*x**2 + 9*x**2 + 22*x**2 + 4*x**2 - x**2 - x**2)*(3*x**3 - 4*x**3 - 6*x**3).\nAnswer: 301*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3302905 + 0.569707. Let o = r + -0.9. What is o rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/8073 - 374057\/16146. What is the common denominator of 81\/2 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-22) + 2 + 106\/(-22). Let c be (((-24)\/18)\/1 + -1)*w. Solve 5*q = q - i + 5, 5*i = -2*q + c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.3 (b) -0.2 (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84 - 8*s + 84 to the form o + p*s and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5867934.16537 - 5867758. Let p = 177.165 - n. Let g = -1 + p. What is g rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xjxxxj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/53 + -21\/1696. Let c(h) = 2*h + 23*h**2 - 5*h**2 - 11*h**2 - 6*h**2 - 2. Let m be c(1). Which is bigger: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -0.07. Let v = -15.1 + 14.47. Let q = v - u. Which is the nearest to -1? (a) 5 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*q + 21*q + 64. Solve -z + 4 = -4*l, z - 2*l = 4*z + q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27368? (a) 1\/5 (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -139706 times 1.091?\nAnswer: -152419.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 + 86. Suppose -10 = -u*h - 2*r - 0, 20 = 4*h - r. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3\/v*v*v\/((v*v\/v**(-1\/4)*v)\/v))\/(v\/(v\/(v\/(v\/(v*v**(-2))))))**44)\/((v**2*v)**(1\/34)\/((v*v**(-8))\/v**5)) assuming v is positive.\nAnswer: v**(2289\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 71018.02 micrometers?\nAnswer: 7.101802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1464 + 2462 = 322*w - 1578 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401429.\nAnswer: 7, 57347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221 + 1?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31b9 (base 12) in base 14?\nAnswer: 1dc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 456, 3869, 13136, 31185, 60944, 105341?\nAnswer: 167304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 99*s - 101. Let r be t(1). Which is greater: 6\/1009 or r?\nAnswer: 6\/1009","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 11*v + 19 - 6 - 76*v**2 - 3 - 7*v as m*v + r*v**2 + p and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 2 = -3*o. Suppose -o*i = -22*i - 4. Put 0, 1, i, 4 in increasing order.\nAnswer: i, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 618, 2284, 5062, 8952, 13954?\n\"Answer: 556*r**2 - 2*r + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. Let d be (1 + 4)*(-1 + 0). Let x = -2 - d. Solve 0 = -x*i + k*n - 3*n - 17, -4*n = -i + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -13. Suppose 3000000 = -n*r - 3*r. What is r rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13510\/71 + 14405139\/75686. What is the common denominator of 37\/12 and s?\nAnswer: 6396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11054 by 30.\nAnswer: -5527\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 3433 + 4723 = 41*f for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 122*g**4 + g + 41*g**4 + 856*g**3 + 45*g**4 + 38*g**4 to r*g + i*g**3 + s*g**4 + t*g**2 + l and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 14 = -2*t, -5*s + 9*t - 4*t + 35 = 0. Suppose 1 = s*p + 81. Is 166\/8 + (-5)\/p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 3*u + u - 2 + 2 + u + (0*u - 2*u + u)*(-6 + 1 + 3) - u + u + 2*u + 3*u + 0*u - u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 + 0*n**3 + 2*n**3)*(2*n - 4*n + 3*n) - 2*n**4 - 4*n**4 + 39*n**4.\nAnswer: 31*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 2*j + 3*j + 243*j**2 + 2. Let g be v(1). Calculate the highest common factor of 22 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0*y + 0*y**3 + 0*y**5 - 1\/8*y**6 - 59*y**2 + 0 + 0*y**4 - 1\/210*y**7. Factor u(n).\nAnswer: -n**3*(n + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 156.3808 + -155. What is f rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/5 of a millennium?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -146 + 353. Let y = -20 - -43. Calculate the highest common divisor of b and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1646271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q - 4*q**3 - 2*q**2 - 22*q**3 + 1350 - 1350 to d*q + v*q**3 + n*q**2 + h and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -3. Let f = -1.04 - -1.04. Which is the nearest to 0.1? (a) -1 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 3695012988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -44 (c) 12 (d) -4 (e) -183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592 is divided by 194.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 168 = -x. Calculate the remainder when x is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(((m*m**15)\/m)\/m)\/m*m*m**29*((m*(m*m*m\/m**2)\/m)\/m)**(18\/5) assuming m is positive.\nAnswer: m**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = -2*m. Let l = 13\/5 - m. Let f = 75\/4 + -19. What is the nearest to f in 0.1, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*u - 68681, -2*u + 4*u + 45779 = 3*o. Let g = -4197 - u. Round g to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and 50.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -13, -1, 29, 83, 167, 287?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -1, 3 in descending order.\nAnswer: 5, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 13*v + 17. Suppose -4*h - 17 = -3*b, 76 - 58 = 2*b + 4*h. What is q(b)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-51)\/51)\/(1 + (-420)\/418).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26295618 divided by -3?\nAnswer: 8765206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 0)*(3*a + 0*a - 4*a) - 2630 + 2630 - 5497*a in the form o*a + p and give o.\nAnswer: -5496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5778 - 4536. What is the remainder when c is divided by 207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from {i: 5, p: 2, z: 6}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.55595334 - -20.556. Round l to 7 dps.\nAnswer: 0.0000467","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.100961\nAnswer: 0.302883","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -34. What is the highest common factor of 376 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t - 60280 = -306*t. What is the smallest common multiple of 34 and t?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 - 29*n - 51. What is s(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*u - 9, -u = x - 5*x + 12. Suppose 13*w**x - 29*w**3 + 14*w**3 = 0. What is w?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 277? (a) 3 (b) -5\/4 (c) 2 (d) 5 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-135) + (-26)\/10 + 2)*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045161416?\nAnswer: 2, 13, 1433, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2*p - 380, 5*k + 12*p - 625 = 7*p. Calculate the highest common divisor of 440 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - -3.7. Suppose -4*j = -3*j - 3*k + 20, 2*j + 25 = 3*k. What is the second biggest value in -1\/3, j, q, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + -5 + 5 + -1*(sqrt(567) + 1)))**2.\nAnswer: -54*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 14*l**2 - 37*l - 26. Let q be w(-11). Solve -q = n - 5*v, v - 12 = 13*n - 10*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7733780 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 145*t + 594. Give j(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 1\/11 (c) -0.5 (d) 1\/5 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -42\/4439347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 o when four letters picked without replacement from oegqooqiigeeeoeeeq.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 259*5\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -209*c + 143.\nAnswer: -209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 - 5. Are 49 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2632 is divided by 461.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19256174381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 7 + 1. What is the remainder when 11 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, -1\/16, -3\/7, -4791, 2?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272080 is divided by 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4191952 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(26\/10 + -3). Let d be a*(3\/3 - -1). Solve d = -0*i + i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/5)*l**16*l**(1\/31)*l\/(l**6\/l))**(-1\/9) assuming l is positive.\nAnswer: l**(-632\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 154826680 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**8*c)**27 assuming c is positive.\nAnswer: c**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 339*m + 290*m + 14183 - 51294 for m.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Let y = 0 + r. Is y less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v - 650 = 37*v. Let o be (v\/6)\/((-6)\/(-18)). Let n = o + 103. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 7*f**2 + 3*f + 5. Let w be x(-7). Let d be 2*4\/w*-28. Suppose 11*m + 96 = d*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14263623 - y + 14263576 - 2*y in the form u*y + v and give v.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1697 - 1473 + 7056 = 138*o + 104 for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r + 58. Let v be z(18). Let k be (82\/(-10) - v\/(-20)) + 0. Is (k + -100)*(-8)\/6 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*o + 282*o + 49 + 11 = 0 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4442*x - x**2 + 0*x**4 - 7707*x + 7*x**4 - 149*x**3 + 4227*x wrt x.\nAnswer: 84*x**2 - 894*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2306.3 + -2209.21. Let r = g + 7.91. Which is the third smallest value? (a) 1\/9 (b) -1\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 75, 197, 401, 687, 1055, 1505?\n\"Answer: 41*b**2 - b + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10799, 21156, 31537, 41954, 52419, 62944, 73541, 84222?\nAnswer: 94999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + r**2 + r + 42. What is the remainder when l(0) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 654322 and 7391.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + (1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*m**2 + m**3 + 42*m**2 + (1 + m - 1)*(2*m**2 - m**2 - 8*m**2) + 177*m**3 - 578*m + 578*m in the form b*m**3 + q + f*m**2 + x*m and give b.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141 - 141. Suppose -5*m + 3*l - 709 = -7*m, z = -3*m + 4*l + 1021. What are the prime factors of m?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 divided by -87\nAnswer: 61\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 9:34 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10486 = -47*d + 15552. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(76))**2 + -1.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 166555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 10:02 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8743 + 4.1257. What is the smallest value in -2\/13, 2, -6, h, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*8\/(-320)*-10. Solve 0 = 5*q + j - 4*j + 19, -2*q + 2 = g*j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 282 - 67. Calculate the highest common divisor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 + 3*b**2 + 3*b + 1. What is l(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1387, -1781, -2489, -3553, -5015, -6917?\n\"Answer: -7*v**3 - 115*v**2 - 1265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 10 = -6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507*n**4 + 66066*n**3 - 387024*n**2 + 740736*n - 470016 = 0.\nAnswer: -136, 24\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.512, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from agoogzgzyoz. Give prob of sequence ggya.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13494514*q**3 - 8520821*q wrt q?\nAnswer: 80967084*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 10*d**2 - 9*d + 2. Let i be p(9). Let u be 2\/(1 - i\/4). Does 5 divide (-2)\/u*(2 + -16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005989 rounded to 6 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2881211 is divided by 1440595?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 314242 and 2538?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 4*b - 3009 = 171*b, -38*y + 62 - 29 = -37*y - 2*b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g + 7. Let l = 101 - 103. Let y be s(l). Solve y = -3*v + 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i - 11*i + 4*i + 23*i + 4*i + 22. Let c(u) = -2*u. What is c(a(v))?\nAnswer: -28*v - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 749 = -7*r - 406. Let v = r - -174. Solve -4*h - v = -f, 2*h + 1 = 5*f + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/23)\/n**(-3\/5))\/((n\/(n\/n**(-2)))\/(n*((n**1*n)\/n)\/n)))\/((n*n*n**(1\/2))**(-2\/61)\/(n**(-2))**(-10\/9)) assuming n is positive.\nAnswer: n**(367271\/63135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 4*u + 1148. Let w be u\/14 + 3\/(-2). Suppose g + g + 4 = 0, -q + g = -w. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/6, -0.04, 5\/3, 0.2 in increasing order.\nAnswer: -5, -1\/6, -0.04, 0.2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r + 102. Determine w(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 3. Let i be o(3). Let k = 15774 + -15772. Solve k*h + 8 = -i*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.81, 15, 5, -418, -0.4.\nAnswer: -418, -0.4, 0.81, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*x + 2. Let b = 2 - x. Solve -2 = 2*r - b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from vvvvvvvvivvvi.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 42*d**2 - 6*d - 31. Let z(c) = 43*c**2 - 5*c - 30. Let q(s) = -5*p(s) + 6*z(s). Differentiate q(j) with respect to j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.16213315 to 0 decimal places.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125179*c**3 - 2*c**2 - 247791*c + 19.\nAnswer: 751074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 + -8)\/(4\/(-114)). Let h be a\/(-12) - 3\/(-12). Solve -h*k - 2 = -7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 191615811 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 - 24 = -4*r + 3*f, 108 = 4*r + 4*f. Suppose -3267 = -10*h - r*h. Calculate the lowest common multiple of 81 and h.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2 - 3. Let v = -3 - -14. Calculate the remainder when (0 + p - 0) + 54 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35170 by 14484.\nAnswer: -17585\/7242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 142503 and -0.6.\nAnswer: -85501.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3852)\/(-856)*(4\/(-6))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 9:58 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 4)*(0 + z**5 + 0) + (-2*z**2 + 2*z**2 + 2*z**3)*(-6*z**2 + 5*z**2 - 3*z**2).\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14647487 is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + c - 7. Let y be g(-4). Let r be (0 - (y - -2 - 3)) + 8. Suppose -2*v + 50 = -f, r*f = -13 - 3. What is the remainder when 63 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165 + -95 - (116 + -50)) + (16 + 1 - 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 6:41 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7177230 and 81?\nAnswer: 64595070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/9 and -4\/2779.\nAnswer: 25011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -2. Suppose -5*d + 0*q - 5*q = -105, -115 = -5*d + j*q. Let r = d + -17. Solve r*x + 21 = -c, 4*c + x + 2*x = 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 6. Let h be b(4). Let a(r) = -1 + 2 + r**h - 2*r**2 - 2 + 5*r. What is a(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 7 (c) 2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111100 (base 2) to base 4.\nAnswer: -3330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 5:27 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019067201 to four dps.\nAnswer: -0.0191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 215 (b) -4 (c) 0 (d) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5.33 or -2966?\nAnswer: -5.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 17 = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -13*c + 669. Let x be 1\/4 - 1\/4. Suppose x*f + 4*f - c = 0. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2643*f = -2527*f + 696 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1035\/(-12))\/5*2632\/(-1974).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 1. Suppose -2*o + 0*o - 8 = 0. Which is smaller: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/3 (b) 2\/141 (c) 0 (d) 131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2 + 171040*y + 7313670400 = 0.\nAnswer: -85520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from lmlrylryybrlr?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 433 - 272. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-70)*-7 + -2*(-2)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 147 - 213 = 0. Let q be 0 + (1 - (0 + -1)). Suppose 2*n + q*u - 36 = 0, -u - m = -5*n + u. Calculate the smallest common multiple of 16 and n.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 28830186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90583759*s**2 - 5*s + 45291880*s**2 + 45291892*s**2.\nAnswer: 13*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 364290529 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 6 = 26. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 260 = -244. Let p(i) be the third derivative of 2\/3*i**3 + 1\/6*i**o + 0 + 1\/60*i**5 + 0*i + 3*i**2. Calculate p(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2976\/(-2139)*294\/784.\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 7. Let t(i) = -8*i - 42. Let m(h) = 6*s(h) - t(h). Let z(x) = 5*x**2 - 4. What is z(m(c))?\nAnswer: 20*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54213700 by 10842740.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - -0.7. Let o = 24360.799888 + -24360. Let k = o - j. What is k rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6d (base 14) to base 13\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1577*b**2. Let t(x) = 2648*x + 10. What is t(d(y))?\nAnswer: 4175896*y**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 6.1 (b) -0.077 (c) -3\/4 (d) 2\/13 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4\/(-16))*4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 1791029*q + 1791033*q - 75 = 0, -18*c - 5*q + 165 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 377453247 to the power of 1\/2, to the nearest integer?\nAnswer: 19428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.9 and 0.9325.\nAnswer: 10.16425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/40620 and -31\/90.\nAnswer: 121860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646*v - 651*v - 642*v + 2560*v - 60*v**3 - 622*v.\nAnswer: -60*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.4, -1, 0.01, 1.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s - 12*s**5 + s + 3*s**2 + 2*s**5 - 3*s**2 + (-s**3 + 2*s**3 - 2*s**3)*(-2*s**2 - 1 + 1) + (s**2 - s**2 + s**3)*(-s**2 - 2 + 2).\nAnswer: -9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**2\/2 - 3919*l - 15358561\/2 = 0.\nAnswer: -3919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5375911 + 25902288. Let z = -20526344.9999944 + f. Let x = z + -32. Round x to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8161531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*n + 10. Suppose -647*r = -694*r - 1 + 1. Solve -4*j - 2 = -x - n, r = j + x + 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 42 - 6. Let l be (-6)\/(-5)*(520\/t)\/13. Let p be 1 + l\/(-8)*-8. Solve p*k + 14 - 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10064?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38501.4 - -38493. Which is smaller: k or 65?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52223225 (base 6) to base 2\nAnswer: -101110001000111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -192*c**3*j**4 + 2*c**3*j**3 + c**3 + 198*c**2*j wrt j?\nAnswer: -2304*c**3*j**2 + 12*c**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 38*i - 161. Let o be b(14). Let a = o + 130. Is 32 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -751\/2 - -388. What is the common denominator of (-2)\/15 + 1\/((-2640)\/2888) and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -774133, -1547482, -2320831, -3094180?\n\"Answer: -773349*o - 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/5)\/((-1)\/(-10)). Does 5 divide (10\/a)\/((-9)\/54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -4*j - 4*j. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32\/931 - 2233405\/1862. Let h = -1222 - s. Find the common denominator of h and 119\/(-10) - (1 + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 6 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 272, 1991, 6512, 15191, 29384, 50447, 79736?\n\"Answer: 226*v**3 + 45*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33\/20 + -7\/5. Let u = -1.97 + -0.03. Which is the third biggest value? (a) u (b) -4\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/31882?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 88 = -y, -3*a - 5*y - 110 = a. Let p = a + 42. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, d: 4, v: 2, g: 1, u: 3}. Give prob of sequence vmv.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (2 - (10 - 6)). Let j = -4 - -3.5. Let n = 0.15 + 4.85. Put g, n, j in decreasing order.\nAnswer: n, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 2, 4\/5.\nAnswer: 2\/15, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 742 or 718?\nAnswer: 718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.2 + -2.5. What is the closest to -1 in h, 3, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + ((-37 - -20) + 19 - (-7 - -10)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**7\/231 + 5*z**6\/33 - 111*z**5\/55 + 37*z**4\/3 - 1057*z**3\/33 + 441*z**2\/11 - 529*z. Let p(w) = 0. What is w?\nAnswer: 1, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0072387 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4109709 is divided by 32107?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-83 - (7 + -81)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -20. Let r(s) = -s**2 - 2*s + 0*s + 3*s + 1050. Let t be r(w). What is t rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 14 = 3*w, -4*y - 8 = 7*w - 3*w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*u**2 - 1560*u - 760500.\nAnswer: -4*(u + 975)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owy when three letters picked without replacement from {o: 1, y: 2, r: 4, w: 6}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2547333 = 100*z + 19*z + 528022. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**7\/3360 - t**5\/480 - t**3\/6 - 4*t. Let z(q) be the second derivative of f(q). Let z(x) = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1754752?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/5)*(g**6\/g)\/g*g)**(-4\/3)\/((g**(1\/6)\/g)\/(g\/(g**(7\/4)*g))*g\/g**4*g**(2\/5)) assuming g is positive.\nAnswer: g**(-121\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 + 2*a + 58 - 132 + 40.\nAnswer: 2*a + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4806, -4795, -4784, -4773?\nAnswer: -4762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -501?\nAnswer: 2505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*j**3*y*z**2 - 3*j**3*y - 34*j**3*z**2 + 166*j**2*y*z + 2*j*y - 3*j*z**2 + 2*y*z wrt j.\nAnswer: -198*y*z**2 - 18*y - 204*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -894, -883, -864, -837, -802, -759, -708?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20173163 (base 8) in base 9?\nAnswer: -8008038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + ((sqrt(114) + 1*sqrt(114) + sqrt(114))\/sqrt(6))**2 - ((-2*sqrt(19) - sqrt(19)) + 1))*-6.\nAnswer: -1020 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -53, -7, -186, -2, -1 in decreasing order.\nAnswer: -1, -2, -5, -7, -53, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 14*g + 14*g + (-1 - 2 + 2)*(-2*g + 0 + 0))*(0*g + g**4 + 0*g).\nAnswer: 26*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 88 = 82 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*c = -1132, 4*c + 200 = v - 89. Suppose v*l - 276*l - 1495 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z + 256*z - 15*z to the form n*z + o and give n.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -1. Suppose 4*u - 56 = -2*t, -11 = t + l*u - 42. Suppose -23*g - 309 = -t*g. What are the prime factors of g?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*x - 18, 0 = 3*z - 5*z - 2*x. Let v be 3 - ((-8)\/28 - 78\/(-28)). Which is the second smallest value? (a) 1\/8 (b) z (c) v (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**3 - 73*l + 7*l**3 + 16*l + 3*l**3.\nAnswer: 2*l**3 - 57*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = z - 10. Let y(l) = 6*l + 9. Let h(c) = -5*c - 8. Let t(u) = -3*h(u) - 2*y(u). What is t(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340871979 to the power of 1\/2, to the nearest integer?\nAnswer: 18463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 630 = 205. Solve j = -73*y + 68*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q - 33. Give m(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 658121 and 23273.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.82 + -4.82. Which is the third smallest value? (a) 8 (b) -1.2 (c) -0.1 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.47 + -26.53. Let m = 27.00096 + c. Round m to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*1*5*4\/40. Suppose -j*t = -4*m - t + 16, 0 = 4*t. Let n(y) = 11*y**2 - y + 1. What is the remainder when n(1) is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -56, -64, -72?\n\"Answer: -8*b - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-576)\/80)\/(-18)*35\/8?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(288) + sqrt(8) - sqrt(8)) + -5 + sqrt(19) + 0.\nAnswer: -5 + 7*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - y = -3, -17*y = 3*q - 21*y + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3 - d - d - 1745*d + 963*d - 1674*d + 2 + 0 + 0 + d + (-1 + 1 + 1)*(-4*d + 3*d - d) - d - 1 + 1.\nAnswer: -2460*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from iiiimimmimi.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-43440)\/(-114030))\/(2\/(-672)).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 228*l*q**3 + 4*l*q**2 - 36*q**6 - 4*q**2 + 77 wrt q?\nAnswer: 1368*l - 4320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124989.\nAnswer: 3, 61, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-5)\/i))\/(i**(-3\/8)\/i)*i**(3\/5)*i*i**(-7)\/i*i)\/(i**(-1\/2)*i*i**(3\/4)\/i*i)**(-42\/11) assuming i is positive.\nAnswer: i**(3409\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110111100010101 (base 2) to base 5.\nAnswer: -3424310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 - 4*g**5 + 0*g**5 + (-5*g**2 + 0*g**2 + 4*g**2)*(2*g**3 - 1 + 1) - 2 + 2 - 2*g**5 + (-g**3 - 3*g**3 + 5*g**3)*(0 - 2*g**2 + 0).\nAnswer: -7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -86\/21?\nAnswer: -86\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 - 0.12?\nAnswer: 235.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = 10*u - 36. Let f be (-3)\/u - (-20)\/8. Solve x = 3, 3*q - 4*q - f*x + 6 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**4\/3 + 93*i**2. Let d(u) = 4*u**2. Calculate j(d(s)).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/122849595 and 181\/4963620?\nAnswer: 491398380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2840*m**3 - 268*m**2 - 59*m - 3. Let b(p) = p**3 + 15*p. Let n(y) = -4*b(y) - k(y). What is the third derivative of n(c) wrt c?\nAnswer: -17064","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1764044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -10*q**3 - 1. Let h be p(-1). Solve -n + 2 = d, -2*n - 1 + h = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 220*b - 224. Let q be k(1). Put -6, 3, q, 16 in ascending order.\nAnswer: -6, q, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(2 - 1 + 0)*(0 - 1 + 3)*(-1 + 4 + 0)*(-9 + 13 - 10)*(-52*f - 54*f + 12*f) in the form v*f + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 - -0.23. Let y = -0.07 + 2.07. Which is the closest to h? (a) -2 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -258 or 0?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 12:25 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1073.746 - -0.254. Which is greater: m or -1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*x - 4, i - 5044*x = -5049*x + 28. Let f be (8\/(-10))\/(4\/(-10)). Solve f*y = 5*t - 21, -t - 4*t + 24 = -i*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 1 = k, 26 = -5*i - 4*k - 4. Let g be 37 + 4\/(-3 - i). Let u = g - 27. What is the remainder when 28 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 74. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 + 14 - 12)*(-2*p**4 + p**2 - p**2) - p**4 + 4*p**4 - p**4.\nAnswer: -90*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18978\/(-31630))\/((-2)\/(-250))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + 1 + sqrt(5) + sqrt(5) + 1 + ((sqrt(180) - (1 + sqrt(180))) + sqrt(180))**2.\nAnswer: -9*sqrt(5) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8471 or 8482?\nAnswer: 8471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-v - 4 + 4)*(2*v**3 + 2*v**2 - 2*v**2 + 5*v + 3*v**3 - 5*v + (2 + v - 2)*(1 - 2*v**2 - 1)).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 71861489867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-5))\/((-7)\/(-35)). Let t be n\/(-6) + (-12)\/90. Which is the closest to 0? (a) -0.3 (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 8*u + 128 + 41 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3431.\nAnswer: 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -2\/9, 1\/2, 4, 1, -229581 in decreasing order.\nAnswer: 4, 3\/2, 1, 1\/2, -2\/9, -229581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -19, -38, -63, -94?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 8. Suppose 2*j = 6, -4*s = 11*j - 20*j - 181. What is the greatest common divisor of w and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 2984?\nAnswer: 17904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148 and 56906?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -180 - -5389\/30. Let o = f + -2\/15. Let z = -2\/1231 + -2436\/16003. Which is the nearest to o? (a) z (b) 0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 224809206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1365618118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(48)\/sqrt(8)) + 0 + sqrt(25)\/sqrt(5))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1171*y - 8024. Let u be i(-8). Calculate the greatest common divisor of 756 and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 84.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.975 + 0.025. Is k bigger than -2\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 5 (c) -32 (d) 1\/5 (e) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.187? (a) 4 (b) -9 (c) 2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -248232 equal to -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21043770 divided by -165?\nAnswer: -127538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13432 (base 10) in base 16?\nAnswer: 3478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-9))\/(-2 + (-20)\/(-9)). Which is the third smallest value? (a) 0.3 (b) z (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2683, 9753, 21543, 38059, 59307, 85293?\n\"Answer: g**3 + 2354*g**2 + g + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541*g - 529*g**2 - 112*g - 113*g - 105*g - 106*g - 103*g.\nAnswer: -529*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -497, -494, -489, -482, -473?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -1134*r - 226. Determine x(2).\nAnswer: -2494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**0)\/(n*n*(n*n**3)\/n)*(n**(-3\/4)*n)\/n**(-3\/8) assuming n is positive.\nAnswer: n**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43 from -0.795806297.\nAnswer: -43.795806297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 255 - 301. Let c = 303 - q. What are the prime factors of c?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/9 + 8\/9. Suppose -5*f - 20 = -0*f. Suppose -4*s + 4*h = -16, 17 = -2*s - 4*h + 1. Which is the closest to -1? (a) s (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 107*x - 236*x - 29*x**2 + 27*x**2 + 120*x - 1. Determine p(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 12 = 6*r + 5*y, -2*r + 6 = -3*y. Suppose r*i - 5*p + 9 = -0*p, 22 = 5*i + 4*p. What is the hundreds digit of (i - 6)\/2 - (-6 - 205)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -528 + 214. Let c = a - -469. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24436*u**2 + 85*u + 87.\nAnswer: 48872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + -1 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/5 - (-72)\/30. Suppose f*c = 2*c + 11. What is the highest common divisor of 121 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8352 + -3?\nAnswer: 8349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {t: 7, w: 7}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cllc when four letters picked without replacement from loclc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0097 + 0.7827. Let b = -0.017 - j. Round b to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 330 + -328. Determine y, given that -y**2 + 3 + 2*y**b - 16*y + 5 + 7 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -641691, -641630, -641551, -641448, -641315, -641146?\nAnswer: -640935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*r + 12*r = 26*r + 420 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 5, m: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40.4 and -38694.\nAnswer: -1563237.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -17*j**2 + 308*j - 1987. Give g(18).\nAnswer: -1951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52818410 to the power of 1\/2, to the nearest integer?\nAnswer: 7268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 66 - 3. Let a be b\/(-6)*16\/(-28). Suppose -a*s + 28 = m, -3*s + 4*m - 6*m = -44. Which is greater: s or 10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46918?\nAnswer: 2, 23459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2393415 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20926 rounded to the nearest 100?\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - 10\/(4 + -2). Suppose -o = -3*m - 15, -36 = 3*m + 5*o - 3. Is (8\/m)\/(k\/60) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892941?\nAnswer: 3, 7, 101, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 1. Let d be t(5). Let m(n) = -n**2 + 64*n + 13. Let o be m(64). Which is bigger: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37147*p - 3*j = -37152*p - 61, -2*j - 49 = 4*p + 13 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-152)\/(-32) - 4 - 45\/12. Let b be w\/(9\/2)*(-900)\/(-3000). Is b greater than or equal to 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + i + 119574, -107*c + 106*c + 39845 = 4*i. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 594 (base 11) to base 5.\nAnswer: 10313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -17. Let l(b) = b - 4. Let g be l(6). Suppose 0 = -2*h - 6, -5*n = 3*h + 25 - 21. Sort n, o, g in decreasing order.\nAnswer: g, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*a - 2*a - d, a - d = 3. Let x be -1 + (1 + -2 - -1). What is the units digit of x\/(a*1\/13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 340856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 639*g**2 + 32373*g + 178215.\nAnswer: 3*(g - 109)**2*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 10. Let r(o) = 46*o + 113. Let g be r(-2). Solve -9 + g = -t*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-8)*48\/(-12))\/(25 + -26)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56740.77 rounded to the nearest 100?\nAnswer: -56700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -77\/15? (a) -1\/7 (b) -5 (c) -0.4 (d) -1\/5 (e) 20.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 539 and 23137996?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 + 2*t**2 - 2*t**2 + (-4 + 1 + 4)*(-6*t**2 + t**2 - 4*t**2) + 18 - 11*t**2 - 18 to l*t**2 + o + g*t and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -172517*m. Let x(a) = a**2. What is q(x(c))?\nAnswer: -172517*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2 + 6360*r + 1926198 = 0 for r.\nAnswer: -2841, -339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/2408 and 95\/3612?\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 48 = 6*h + 60, 132*d - 44 = 136*d - h for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88270 and 68390?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p = -27. What is the lowest common multiple of p and (-264)\/(-32) - 2\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**4 - 11*g**4 - 6*g**4 + (-2 + 0 + 5)*(-2*g**3 + 2*g**3 + 3*g**4).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -2*f + 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m - m)*(m**2 - m**2 + 2*m**3) - 13*m**4 + 150 - 150 - 6*m**2.\nAnswer: -15*m**4 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + g. Suppose f + 2 = -0*f. Let w be h(f). Solve 0 = -4*m - w*a - 12, m + 2*a - 1 = -4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6995 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 149\/1*-1 - (-118)\/(-59). Let y = 277 + a. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -991712 by 495856.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 102*a - 97*a = 12, -4*g + 5*a - 16 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17897.\nAnswer: 11, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**2 + 4*z - 4. What is the tens digit of a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -317.9803 to the nearest integer.\nAnswer: -318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = -44 + 616. Calculate the remainder when 2110 is divided by q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 6395, -40 in ascending order.\nAnswer: -40, -12, 6395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5*w + 7 - 3 + 21 = 0, g + 8 = 2*w for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-125) - (-350)\/2625. Which is greater: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/5)\/o**(-5))\/o**(1\/4)*(o**(-4\/3)\/(o\/((o**(-2\/9)\/o)\/o)))**(-19) assuming o is positive.\nAnswer: o**(16579\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 498, 969, 1440, 1911?\n\"Answer: 471*p + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/318031 (b) 4\/7 (c) 3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u + 7*u - 183*u**3 - 12 + 34 + 90*u**3 + 50.\nAnswer: -93*u**3 - 2*u + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-39)*5391\/(-2995)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, p: 3, c: 1, y: 4, m: 4, s: 2}. What is prob of sequence sns?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-3\/19)*r*r)\/r*r\/(r\/((r\/r**3)\/r)) assuming r is positive.\nAnswer: r**(-16\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -18. Solve 46*m**2 + d*m**3 - 14*m**2 - 2*m - m - 13*m = 0 for m.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**3\/7 + 3488589*w**2\/7 - 9593644*w\/7 + 5232900\/7 = 0.\nAnswer: -872150, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20864 and 55?\nAnswer: 1147520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 8*v**2 - 6*v + 5. Let r be l(-7). Let d(c) = -c**2 - 5*c - 1. Let h be d(-4). Let w be h\/3 + -1 + 2. Put -5, w, r in descending order.\nAnswer: w, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 154 = 3*k. What is the tens digit of k - 13 - 46*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.100799867 rounded to five decimal places?\nAnswer: 0.1008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106 + -120. Suppose -a = 4*d - 147, -d - 4*a + 1 = -17. Let c = r + d. Calculate the greatest common divisor of 16 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*y - 2*b, 2*b + 19 = -3*y + 7*b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 22*a**2 + 23*a - 3. Let b be p(-23). Put -249, b, -2 in decreasing order.\nAnswer: -2, b, -249","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -4*r + 5, -5*r - 4*g = 2 - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + ((0 + 3 + sqrt(637))**2 - ((sqrt(637) + (1*sqrt(637) + sqrt(637) - sqrt(637)))*-1)**2) + -1).\nAnswer: -42*sqrt(13) + 1902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 7*d + 10. Let h be c(-5). Suppose 4*z - 1183 + 111 = 5*q, 2*z + 2*q - 536 = h. Suppose 4*a = 704 - z. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 5*x - 2*x)*((2 - 1 - 4)*(1 + 4 - 3) + 4 - 2 + 1) + 2*x - 1 + 1.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98605.\nAnswer: 5, 13, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 335 + 5949 = -2986. What is the remainder when 5159 is divided by i?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 184371088*l*n*z**2 + 168*l*n + 37*l + 2*n*z**2 + 4*n*z - 2*z + 208 wrt z?\nAnswer: 368742176*l*n + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 515 = 4*i, -4*i + 5*q - 296 = -821. What is the remainder when 368 is divided by i?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence waa when three letters picked without replacement from {a: 3, n: 2, w: 8, i: 2}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x**2 - 19. Let v(n) = -2*n**2. What is i(v(h))?\nAnswer: -24*h**4 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 2*x - 2, -2*a - x = -4*a + 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s*s**1\/s*s*s)\/s*s))**(-1\/10)\/((s\/s**(-2\/11))\/(s*s**(-1)))*((s\/s**(-2\/3))**(-1\/3))**(3\/20) assuming s is positive.\nAnswer: s**(-637\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + b. Let a(p) = p**2 - p. Let j(m) = -a(m) - y(m). Let q(w) = -5*w**2 + 6*w**2 - 3*w**2 + 6*w**2. What is j(q(c))?\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 - 3*x**3 + 2*x**3 - 7374*x + 7374*x - 6270*x**3 + (2*x - 1 + 1)*(0*x**2 - 4*x**2 + 2*x**2) to u*x**2 + v*x**3 + t*x + r and give v.\nAnswer: -6276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/9 (b) 2\/3 (c) -366\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1285, -5177, -11669, -20761?\nAnswer: -32453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 18*l - 26. Let d be a(-7). What is the highest common divisor of 425 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 15*y + 55. Calculate f(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y + 45. Let h be x(-7). What is z in -346*z - h + 28*z**4 + 4*z**3 + 150*z + z**3 - 196*z**2 - z**3 = 0?\nAnswer: -2, -1, -1\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 2*j - 46. Let m be c(8). Solve m*l = -3*n + 11, 4*n = -0*n + l + 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4027 (b) -1\/229 (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**3\/3 - 544*g**2 - 73984*g - 10061824\/3 = 0. Calculate g.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50167?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*p = 17, 2*u - 12 = -5*p - 1. Calculate the remainder when 15 is divided by 2 - (-1)\/u*-14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -2 - (-6 - (3 + -5)) - 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 67, 4, 120, 1\/2, 0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 6 - (31 + -27 + (0 - -5))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57808786 to the nearest integer?\nAnswer: 7603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124410832 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(4\/(-2)) + 2. Suppose 3*q = 5*k - 9, -3*q + 3*k - t = -0. What is the third derivative of -2*j**2 + 2*j**6 + j**q - 2*j**2 wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -40*n - 208. Determine o(-8).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*o = o + 20, -3*o = -2*h - 22. Let x = -5 - h. Solve 6 + x = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i + 11. Let j = -422 + 431. Let p(o) = 3*o + 5. Calculate j*p(s) - 4*u(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 0.3, -2141.63, -1, 2\/21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11616 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17712 = -26*k + 18*k. What are the prime factors of k?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 73*c**2. Let r(y) = -2400*y. Determine r(k(g)).\nAnswer: -175200*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*a + 2*h, -2*a - 4*h = a - 28. Suppose -6*k + 9*k = a*g + 862, 4*g = -2*k + 548. Is k a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 2 = 2*o + 2*o, l - 5*o - 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11039999.9 rounded to the nearest 10000?\nAnswer: 11040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*r + 5*g = -530*r + 50, -g - 48 + 69 = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 2*l**2 - 12*l + 25. Let v be w(0). Solve -26 + v = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1878952 is divided by 125263.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -58, -107, -154, -187, -194?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*w**3 + 112 - 403*w**2 - 456*w**4 - 7*w**3 - 112 - 493*w**2 wrt w?\nAnswer: -10944*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbbd when four letters picked without replacement from dgdgbdgdgb.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 40. What is the closest to n in -1\/3, -1, 9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -753108*z**6 - z**4 - 3*z**3 - 9801*z**2 + 351*z wrt z?\nAnswer: -90372960*z**3 - 24*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2055*c + 2*c**3 - 2*c**4 + 2055*c + (-c**2 - c**3 + c**2)*(-15*c - 20 + 20) as u*c**3 + g*c**2 + i*c**4 + k*c + y and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in 2, 4\/7, -1\/5, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*r - 396 = 26*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2646 is divided by 93.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z. Let u(c) = -28 + 71 - 7*c + 17 + 17. What is p(u(j))?\nAnswer: 7*j - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 63, 56, 49, 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-15)*(2 + -5). Suppose -d = g*d - 10. Find the third derivative of -4*h**3 - d*h**3 + 5*h**2 + 2*h**3 - h**2 wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.163 and -62567.259.\nAnswer: -62567.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 775381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -31918994*f. Let y(g) = -6*g. Determine c(y(h)).\nAnswer: 191513964*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f + 2*f)*(-50*f**2 + 45 - 45) + f**3 + 3*f**3 - 2*f**3.\nAnswer: -98*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -12, 2*a + 2*t - t = 56. Let b = -15 + a. What is the lowest common multiple of b and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/3 + 11758966*q**2\/3 + 17284166053126*q\/3 + 17284154294162\/3.\nAnswer: 2*(q + 1)*(q + 2939741)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55*c*o**2 - 159*c*y**2 + 2*o**2*y**2 + 14*o*y**3 + y**3 wrt o?\nAnswer: -110*c*o + 4*o*y**2 + 14*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76338494 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 4. Let c be a(6). Suppose -4*m = -c*m - 6. Let p(b) = 8*b - 95. Calculate the smallest common multiple of p(12) and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -79, -143, -263, -457, -743, -1139, -1663?\nAnswer: -2333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.84 + 1.04. Put r, -0.1, 2 in increasing order.\nAnswer: -0.1, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47\/((-12220)\/78)*20\/8*-84.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*i - 186915 = -185627 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, and 1 g when three letters picked without replacement from {v: 1, z: 1, b: 1, q: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 12 - 8 = 0. Let g = -10 - -6. Let x = o + g. Let w(u) = u**3 - u + 1. Let a(j) = 8*j**3 - j**2 - 8*j + 6. What is x*a(d) - 6*w(d)?\nAnswer: 2*d**3 - d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, q: 7, x: 1}. What is prob of picking 3 q?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 44 = -0*c + 4*d, 3*d + 15 = 5*c. Suppose -c*z = -22*z + 272. Solve 2*u + 4*v + 3 = -z, 12 = 2*u - 4*v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 5. Let s(r) = 13*r - 21. Let w(v) = -9*h(v) + 2*s(v). Let f be w(4). What is the hundreds digit of (-1)\/f + 101 + -16 + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38002862 - 7752.35.\nAnswer: -38010614.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/9 + 25004*c + 150016 = 0. What is c?\nAnswer: -112512, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 94 = 10*x, -x - 17631 = 3*c - 17804 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-4 - (-7 - -11))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 1, f: 2, u: 1, m: 1}. Give prob of picking 1 f, 1 s, and 1 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3042, 3043, 3044, 3045, 3046, 3047?\n\"Answer: l + 3041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114648 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/741 (b) -35 (c) -210\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u**3 - 18*u**3 + 7*u + 547*u + 326*u - 55*u.\nAnswer: -2*u**3 + 825*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001111100 (base 2) to base 14.\nAnswer: -868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -475*q**3 - 54*q**2 + 1385. Let w(n) = 238*n**3 + 24*n**2 - 693. Let l(i) = -4*m(i) - 9*w(i). Differentiate l(d) wrt d.\nAnswer: -726*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 9\/2*n**2 + 2 + 0*n. Let j(y) = 2*y**2. Calculate d(j(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 116 (b) 0.4 (c) 101 (d) 0.1 (e) 0.2 (f) -3\/17 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s. Let x be 1\/4 - 10\/8. Let m(l) be the second derivative of l**3\/6 - l**2\/2 + 2*l. Suppose 6 = -2*d - d. Calculate d*m(y) + x*u(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 3*w + 6. Calculate the lowest common multiple of c(-4) and 2 + 3*-1*-1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112306587 to the power of 1\/2, to the nearest integer?\nAnswer: 10597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(3\/8)\/k*k*k**(-3\/5)*(k*k**(-3\/7))**(10\/17) assuming k is positive.\nAnswer: k**(5289\/4760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-15)\/4)\/((-94)\/147768).\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 223*m - 5291. Determine q(-196).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6)*(-84)\/6. Let i = a - -5. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -1\/9, 1\/52?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4281 in -0.2, 3, 4, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18429.82 rounded to the nearest 10?\nAnswer: -18430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 57 = 3*g. Calculate the remainder when 72 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160) - sqrt(2160)*-2)\/(sqrt(12) - (sqrt(972)*1 + sqrt(972) - sqrt(12))).\nAnswer: -9*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.25966 in -0.3, -260, 0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 4*t**2 + t + 4. Let o be l(3). Let q = o + 3. Let y = q - -7. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xazxazaaxxxnxxza. Give prob of sequence zxz.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -48. What is the remainder when 22 is divided by 7 + (3\/(-2 + -1))\/i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*w - 58 = 0, w - 34 = -a - 3*w. 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 the distance between -261363 and -25?\nAnswer: 261338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -10. Suppose 5*i + 2*x = -164 - 88, 99 = -2*i + x. Let l = -55 - i. Is d <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 2*z**2 + z + z + 3*z**2 - 2*z**2 + z**2 + (-4 + 0 + 3)*(-z**2 - 4*z**2 + 3*z**2).\nAnswer: 5*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20050 divided by -20050.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/24*-1*15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/80 and 1683\/44*2\/(-12).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1454, 5821, 13076, 23189, 36130, 51869, 70376, 91621?\nAnswer: 115574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d**2 - 685*d + 5665. Calculate x(-105).\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17680\/1664)\/(20\/(-16))?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjzjjjssjszjjjjjj. What is prob of sequence jsz?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 3*f**2 - f - 4. Let l = 4 - 0. What is the remainder when 2 + 12*1 - 0 is divided by k(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -43784513637567 and 0.5.\nAnswer: -43784513637566.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000202012210 - 0?\nAnswer: 1000202012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 6. Suppose c = 13*z - 10*z - 414. Let o = z - 133. Solve 3*w = -h + 7, -o*h + 0*h - 2*w = -22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 943274 and -4\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**9\/5040 + t**6\/720 + t**4\/12 - t. Let x(a) be the third derivative of i(a). Find the second derivative of x(q) wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*49\/((-588)\/144)*(-4)\/(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*b**3 + 113*b**2 - 113*b**2 - 76*b**3 + 23*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*w**2 - 15*w**2 - 142*w**2 - 89*w**2 + 44*w**2.\nAnswer: -404*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -17 - (73 + -66)) + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 2*l - 1 = 0, 2*x - l - 64 + 66 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdfdddaasdddfdu. What is prob of sequence fdf?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6912*h**3 - 26*h**2 + 13*h + 13. Let r(z) = 5183*z**3 + 20*z**2 - 10*z - 10. Determine -10*q(k) - 13*r(k).\nAnswer: 1741*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21780415 is divided by 224?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 66 = -3*y, -3*y - z + 58 = -2. Calculate the greatest common divisor of 231 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41261 is divided by 1966.\nAnswer: 1941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**4\/3 + 152*b**3\/3 - 416*b**2\/3 - 152*b\/3 + 140 = 0.\nAnswer: -1, 1, 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-3\/5)*r*r))\/r**(4\/7))\/((r**(6\/5)\/r)\/r*r**6\/r)*((((r*((r*r**1*r)\/r*r)\/r)\/r)\/r)**27)**(-2\/33) assuming r is positive.\nAnswer: r**(-3006\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, b: 8}. What is prob of picking 2 b?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26331900 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, -956, -2617, -4994, -8117, -12016, -16721, -22262?\nAnswer: -28669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1))**50)**(-45))**(-28) assuming o is positive.\nAnswer: o**(-63000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(4\/(-6))\/(22\/33).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/23664 and 137\/3264.\nAnswer: 94656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(784)*1*6 - sqrt(784))*3)\/(-2*((sqrt(441)*-4)\/sqrt(7))\/sqrt(9)).\nAnswer: 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + -4.9. Let t = -4 + 17\/4. Let g = -2 + 2.1. What is the biggest value in w, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5081983 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -7841\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y - 14. Let v be u(10). Suppose -l = -v*l. Solve 4*m - 3*m = l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/9 - 767068*s**2\/9 + 52153688*s\/9 - 295524464\/3.\nAnswer: 2*(s - 383466)*(s - 34)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 52920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxxx when four letters picked without replacement from {x: 4, p: 14}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-5))\/(((-372)\/(-216))\/(765\/2754))\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92982 divided by -92982.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -264.3 + 264. Which is the nearest to 13\/4? (a) 1 (b) f (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(537\/540 + -1). Let p(r) = -r**2 - 9*r - 12. Let x be p(-5). What are the prime factors of (4\/(-6))\/(x\/a)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*x = -0*b + 21, -2*x + 21 = 5*b. Suppose 0 = b*s - 19 - 20. Suppose -2*t - 3 + s = 0. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 3350*g**2 - 561125*g.\nAnswer: -5*g*(g - 335)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156305852.\nAnswer: 2, 241, 162143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l**3 - 764 + 764 + 6*l**3 - 20*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*t**3 + 145*t**3 - 155*t**3 - 117*t**3.\nAnswer: -304*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.11 + 0.89. What is the closest to f in -4, -3\/2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 2*n**2 + 5. Let i(y) = 4 + y**3 - 2 - 1 - 2*y**3. Let c = 1064 + -1067. Give c*i(j) + m(j).\nAnswer: 2*j**3 + 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 31082, -1, 2\/5?\nAnswer: 31082","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-45*374\/2376).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 + 70*w**2 - 219*w + 375. Determine r(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 - 32*q**2 - 44*q - 8. What is l(-13)?\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 51*y + 6*y + 169*y.\nAnswer: 226*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z\/(z\/z**(-3\/8)))*z)\/z)\/z)**(-50)*(z\/z**(-6\/25))\/(z**(1\/11)\/z))**(-45) assuming z is positive.\nAnswer: z**(164349\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b**2 + 5*b + 9. Suppose 4*f = f - 12. Let r(w) = w**2 + 288*w - 3918. Let s be r(13). Let i(h) = 5*h**2 - 4*h - 8. Calculate f*x(z) + s*i(z).\nAnswer: -z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(143) + sqrt(143))*-6)\/(sqrt(44)\/sqrt(4)*-5 + sqrt(11)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56032062*o**4 - 21171471*o wrt o?\nAnswer: -672384744*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 33*d**2 + 206*d + 1728. Let j(i) = -2*i**2 + i - 2. Let k(l) = b(l) + 14*j(l). Suppose k(z) = 0. What is z?\nAnswer: -34, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**19\/(d\/(d*d**(-24)))*(d*d*d\/((d*d**(-16))\/d*d))**(15\/11) assuming d is positive.\nAnswer: d**(215\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 1. Let q(j) = -10*j + 8. Let v(u) = -5*q(u) + 40*r(u). Let d(z) = 17*z**2 - 27*z**2 + 12*z**2. Calculate v(d(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 9 + 3 + 0. Suppose -d = -3*m + 2*m + 2*a, 3*a = -5*m - 5. Let k(c) = c**2 - 5*c**2 + 0 - 2*c + m + 3*c**2. Calculate k(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 134, 107, 62, -7, -106, -241?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*d + 5*j, -5*j = -d - j + 20. What is the highest common factor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 10285190\nAnswer: 2\/5142595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -39. Let p = 7 + h. Which is the biggest value? (a) 1 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -4. Let b be 29\/(-7) + 4\/28. Let f = 1419\/56 + -180\/7. What is the second biggest value in b, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 5*u + 5*u)*((6 - 2 - 2)*(-1 + 0 + 3) + 4 + 0 - 7).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*a**2 + 70*a**2 - 14*a**2 + 77*a**2 + 174*a**2 + 90*a**2.\nAnswer: 327*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8267712*z - 171666. Let j(s) = -1734*s + 36. Let w(r) = 19074*j(r) + 4*y(r). Let k(h) = 2*h**2. Give w(k(g)).\nAnswer: -6936*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*1174\/6*18?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)*r*((r\/(r\/(r*r*r**(-4)\/r)))\/r)\/r*(r**2\/r)\/(r**(3\/2)*r))**(-1\/29) assuming r is positive.\nAnswer: r**(95\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/6)\/(286\/(-156)*1479\/(-638))?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/5)*b*b**4*(b**(-1))**(-9\/7) assuming b is positive.\nAnswer: b**(234\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 29*l**5\/60 - 3*l**4\/4 - l**3\/3 + 33*l + 5. Let j(r) be the third derivative of i(r). Differentiate j(x) with respect to x.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -131, -1, 3, 5, -4\/3, -3?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4465166*c**2 - 11486036*c wrt c.\nAnswer: -8930332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k = -8. What is the derivative of k*d - 4*d + 4*d - 2 wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5735*3\nAnswer: -1.7205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 803, 7161, 25067, 60503, 119451?\n\"Answer: 997*n**3 - 208*n**2 + 3*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1204201364.\nAnswer: 2, 301050341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -315*k**4 + k**2 - 127?\nAnswer: -7560*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49\/6 or 674?\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8708 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by -59186.\nAnswer: -28\/29593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13244?\nAnswer: 2, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 2*f + k, 7 = 4*k + 11. What is the smallest common multiple of 175 and f?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -410479, -820931, -1231383?\nAnswer: -1641835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 1981153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/1358352 and 35\/40976952.\nAnswer: 245861712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, -0.4, -0.5, -1.2, -2\/17?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19.61? (a) -1\/53 (b) 0.9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 16*i**3 - 10*i**2 - 3*i + 1. Let k(q) = -16*q**3 + 7*q**2 + 2*q. What is 3*k(v) + 2*y(v)?\nAnswer: -16*v**3 + v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*l = 599*l - 23861760. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2808*q**3 + 3238*q**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412943091.\nAnswer: 3, 11, 313, 39979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25.5 - 25. Let p be (-84)\/18 - (-9594)\/2079. What is the closest to -0.1 in 1\/5, -0.2, p, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 e, and 2 l when four letters picked without replacement from weseswwrllws.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 6. Let p = -10 - y. Let b(s) = p*s + s - 2*s. Let f(c) = -6*c. Calculate f(b(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/4499913 and -4\/45?\nAnswer: 67498695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*z + 2*i + i, 5*z + 3*i - 22 = 0. Suppose -4*w - 22 = -z*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4)*(-4 + 1 + 4)*(-3 - 4*v + 3)*(-2*v**3 - 4*v**3 + 0*v**3).\nAnswer: -96*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9*v**2 + 2*v + 1. Suppose -5*u + 22 = -98. Suppose h + 3*h - 3*p = -84, u = -2*h - 3*p. Let w be 6\/9*h\/12. Calculate n(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 76 = 2*p. Let u = p + 99. What are the prime factors of u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*a + 53*a - 101*a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 221 and 104?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 23*x**2 + 57*x + 42. Let f be d(-20). What is the highest common divisor of 51 and f?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-583)\/(-1342))\/(-53)*2\/6?\nAnswer: -1\/122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.36 (b) 68 (c) -0.4 (d) 1 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1872)\/(-4) - ((-6)\/6 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 595504502 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.5 (b) 1\/8 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 2, j: 4}. What is prob of sequence kk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2308 = 4*g - 2*g + x, -5*g = -x - 5770. Suppose 4*p - 1538 = g. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/3232, 0.04, 462?\nAnswer: 3\/3232","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 - 62. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1216 = 1504*l + 1527*l - 3069*l for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -104529*l + 313482. Calculate r(3).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 4)*(947*w + 766*w - 404*w) in the form k*w + r and give k.\nAnswer: 5236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 276103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u + 3. Let g be z(4). Suppose 2*t = -g + 3. Is 415\/7 - t\/(-42) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*v, 354*v = 2*i + 356*v - 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214363 is divided by 5226.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*j**3 - 522*j**2 - 1120*j - 800.\nAnswer: -(j + 2)*(9*j + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x = 5*u + 50, 4*u = 3*x - 21. Let t(n) = 3*n + 13. Give t(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-4)\/h)\/h**(2\/17))**(10\/11))**(-4\/29))**(3\/41) assuming h is positive.\nAnswer: h**(360\/7667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**40*g*g))\/g)\/(g\/(g*g**(-2\/63))) assuming g is positive.\nAnswer: g**(-2711\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2537714 a multiple of 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 6:16 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11684*m**5 + 3793*m**3 - 3*m**2 - 268326*m - 1 wrt m?\nAnswer: 701040*m**2 + 22758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-10) + (-28)\/(-8). Suppose 20 = u*a - 0*a. Let s(x) = -x**2 + 1. Let p be s(-1). Put a, -7, p in increasing order.\nAnswer: -7, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 9*a - 289. Calculate r(63).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -21041684 divided by 5260421\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-12)*2\/(-30)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 0 + 14 + -4. Let j(c) = -8*c - 17. Let h(n) = -1 + 0 + n + 0*n. Let w(i) = u*h(i) - j(i). Differentiate w(f) with respect to f.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**2 - 340 + 18*s**2 + 340.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60.388 + -54.37. Let m = 6 - b. What is m rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**3 + 29. Let h(i) = -16*i**2. Give s(h(d)).\nAnswer: -768*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1151681.\nAnswer: 31, 97, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2)\/(w*w*(w\/w**(-3))\/w))\/((w*w**6)\/w*w*w**(-3)*w))\/((w**(2\/7))**32*(w*w*w*w**(1\/2))**(-3\/26)) assuming w is positive.\nAnswer: w**(-7549\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**3 + 16*i**3 + i**3 + 13*i**3.\nAnswer: 42*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**3 - u**3 + 5*u**3 + 6*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 234 + -229. Let r be -2 + (a + -3)\/((-2)\/(-61)). Calculate the greatest common factor of 649 and r.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682 a factor of 506044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 609, 2546, 6007, 11184, 18269, 27454, 38931, 52892?\n\"Answer: 32*p**3 + 570*p**2 + 3*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 + 20*j**2 - 20*j**2 - j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2827 and 67\/73213132.\nAnswer: 805344452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzm when three letters picked without replacement from zmzmmzmmgg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-8)\/x)\/x*x**4)\/((x\/((x\/((x**8*x)\/x))\/x))\/((x\/x**(-2))\/x)))\/((x**(-2))**(37\/4)*x*x**(-4)*x*x\/(x\/(x\/(x*x**(-1\/5)*x)))) assuming x is positive.\nAnswer: x**(83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2)*(-6)\/9. Does 22 divide u\/3 + (-696)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Let d = -4 + 4. Let d + 0*v + 2\/3*v**3 + 2\/3*v**h + 0*v**2 = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355 != 1411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5408660 rounded to the nearest ten thousand?\nAnswer: 5410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -14?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -688212.7900004 - -688213. Let o = 0.003 + 0.207. Let v = o - x. Round v to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57.4 - -57. Let c = -114 + 115. Which is bigger: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 bigger than -186052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 341\/165 + 2\/(-5)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*c + 2*c. Is c greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/9417 and 52\/2621065?\nAnswer: 7863195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/28*-10*(8 - 6). Solve 2*n - q*n - 12 = -g, 0 = 3*g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33361201 and -0.2.\nAnswer: 33361200.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7 = -v, 1 = v - 2*j + 3*j. Let b be 2\/v*1\/1. Sort -3, 0, b.\nAnswer: -3, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3416092000 to the nearest 1000000.\nAnswer: 3416000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2478 + 6015. List the prime factors of q.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1191121561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a day?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/((-3)\/(-2)) + 0. Let y(d) = -d**3 + 10*d**2 - 8*d + 7. Let f be y(7). Let v = f + -94. Solve v*w = -0*w + 4*o - 8, 0 = c*w - 3*o + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 3*h**2 - 2*h. Let x be s(-2). Suppose x*r - r + 5 = 0. Suppose 312 = r*b - 33. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 v when three letters picked without replacement from {v: 3, t: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 520*m**2 - 255*m - 130050.\nAnswer: 5*(m - 15)*(m + 17)*(m + 102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -376, -1490, -3350, -5956, -9308, -13406, -18250?\n\"Answer: -373*b**2 + 5*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - j = 6*r - 8, -4*j = -4*r - 8. Suppose 0 = k - 5*f + 4, 0 = 22*f - 23*f + 1. Calculate the greatest common divisor of r and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 403?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*3*(-2)\/3. Suppose -2*g = 4*w - 8, b = -2*w + 4*w. Is -1\/5 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -326 at least 0.0015729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -25*o**4 + 1292077*o**3 - 22061816*o**2 + 22423076*o - 1653312 = 0.\nAnswer: 2\/25, 1, 16, 51666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 2 (c) -17948 (d) -0.035\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(500) - (1 + sqrt(500)))**2*-1 - ((sqrt(500)*2 - sqrt(500)) + 3 + (sqrt(500) + (-1 + sqrt(500))*-6 - sqrt(500)))**2)*-4.\nAnswer: -3600*sqrt(5) + 50320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 0*j - 1404. Does 27 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.548905ng in milligrams?\nAnswer: 0.000001548905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + (1 - -3))\/(-2). Let y(v) = 12*v**2 + 2*v - 1. Calculate y(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*y + 5*v, -3*y - v = 4*v - 30. Suppose s + 2*s = 0, 4*m + y*s = 120. Round m to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 6*r**3 + 9*r**2 - 9*r - 6 = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x**3 - 182*x**2 - 4*x - 159. Calculate h(-26).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 3*n - 7 = -9*l, 0 = -5*l - 5*n - 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -131566*d - 5657364. Determine v(-43).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 3 in decreasing order.\nAnswer: 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1420234 (base 5) to base 6\nAnswer: 344152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -250143655 (base 7) in base 13?\nAnswer: -332aa03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1678852558 is divided by 220.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -1, 4 in descending order.\nAnswer: 4, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -4, -25458, 0 in descending order.\nAnswer: 0.4, 0, -4, -25458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1507*v + 1774*v = 2136 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 + -0.1. Let r = 0.0589 - -0.1411. What is the second biggest value in -0.07, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348199591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*g + 34 = 0, 2*g + 28 = 7*u - 5*u. Suppose -10 = -2*m + 18. Calculate the least common multiple of u and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.028 + -1.828. Let d = -5.742 + -0.058. Let m = c - d. Is -1 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2538128 and -139\/11421576.\nAnswer: 22843152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 6:02 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 - 5*i - 2. Let y(m) = m - 2*m + 2*m. Let r = 877 + -878. Give r*v(p) - 5*y(p).\nAnswer: 3*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153 + -85. Calculate the highest common factor of s and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*t - 25*t = -630. What is the second smallest value in t, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 155 + -155 - (0 + -12).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s = -1551188 - 423748. What are the prime factors of s?\nAnswer: 2, 3, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107*d*n*x**2 - d*n*x + 5*d*n + 3*d*x**2 - d*x - n*x**2 + 8*n*x + 65*n + 81*x**2 wrt x.\nAnswer: -214*d*n + 6*d - 2*n + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -488*j - 26 + 492*j + 26. Let m(r) = 486*r**2. Calculate m(c(l)).\nAnswer: 7776*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -3*w + 16. Is 10 a factor of 8\/12 + w\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15985 is divided by 516?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 635757 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -443, -2, 2 in decreasing order.\nAnswer: 2, 0, -2, -443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**5\/30 + f**4\/18 - 2*f**3\/9 - f. Solve y(s) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172543026.\nAnswer: 2, 3, 28757171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2. Let i = -2 - -3. Let b(x) = 8*x**2 + 3*x. Let v(z) = -16*z - 2*z**2 + 33*z - 18*z + z**2. Let r(s) = i*b(s) + 3*v(s). Calculate r(d(l)).\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 1. Factor 4*z - 2*z - 4*z + 2 + 2*z**h - 2*z**2.\nAnswer: 2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/9)\/(707 - 711).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -280.33 * -0.513.\nAnswer: 143.80929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(16*33\/(-132)).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31198498 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -36 + 12*v + 9*v - v**2 - 21*v. What is s(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.39819 millimeters to kilometers.\nAnswer: 0.00003839819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3422 a factor of 180127236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0095735 >= 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -2100, 0.169, -2 in ascending order.\nAnswer: -2100, -4, -2, 0.169, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 29*h - 22*h - h to the form m*h + o and give m.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10124544 divided by -3374848?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -3*l**3\/2 - 11*l**2\/2 - l. Let n be ((-5)\/(-20))\/(9\/(-612)) + (-12)\/(-2). Is g(n) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 28. Let c(p) = p**2 + 3*p - 7. Let q be c(-5). Let l = s - q. Calculate the remainder when l is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17192 + 26718. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(1\/9)))\/(((s*s**1)\/s)\/s))\/(s**(-1)*s)**(-31\/4) assuming s is positive.\nAnswer: s**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 81 + (48 - 184 - 11)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 2\/33 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.8 - 19.8. Let o = 14 + y. Which is the closest to 2\/3? (a) 4 (b) o (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 7:32 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 0, 267, 58, -3700 in decreasing order.\nAnswer: 267, 58, 4, 3, 0, -3700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-145)\/(-40)*-6)\/(3\/(-8)). Let o = b - 51. Calculate the remainder when 46 is divided by ((-41)\/o - -3)\/((-4)\/14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 9:21 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 271095 and 61215?\nAnswer: 1897665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -0.3.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxl. Give prob of picking 1 x and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n - 97 + 197 = -130 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1458564 is divided by 1458432?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 177499 and 7?\nAnswer: 177499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*l = 55*l - 38745. Calculate the lowest common multiple of l and 405.\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254434 is divided by 15902.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**2 + 16*t**2 + 14*t**2.\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**5\/60 + f**4\/24 + 6*f**3 + f**2 + 23. Suppose w = 2*w. What are the prime factors of q(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61179120 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 b when three letters picked without replacement from {h: 1, e: 1, b: 2, p: 2, t: 4}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b*q**5*u + 24864268*b*q**4*u + b*q**2*u + 5*b*q**2 + b*q - 13917*b + q**2*u - 6*q*u wrt q?\nAnswer: 180*b*q**2*u + 596742432*b*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytyyayyytyaytytytyyy. What is prob of sequence yy?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 0*p + 2*p = -10, 2*f = -p - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 176131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 1. Let d be y(6). Let p be 0 - 5\/(d\/12). Let b be 4*2\/p*3. Solve -2*a - b*j + 20 = 2*a, j = a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(-80)\/(-30)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 305472512 divided by 62.\nAnswer: 4926976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 51*p**2 - 465*p + 1101. What is b(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 - 1)*(2*v - 2*v**2 - 2*v) - 4*v**2 + 4*v**2 + 2*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*2*-5 - sqrt(95) - sqrt(95))\/sqrt(5)*-5 - (2*sqrt(19)*-3 + sqrt(171)*-4).\nAnswer: 78*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -3. Let h be (-352)\/12 + 4\/(-6). Let z be (-42)\/4*h\/9. What is the highest common factor of s and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -10*i + 6*i. Calculate the remainder when i is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -904630 by 5.\nAnswer: -180926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -337 * 3.69\nAnswer: -1243.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*d + 14 = 0, -3*d - 17 = -12*q + 10*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1422*p + 775 = 246*p + 78391 for p.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 42158095 + 42158253 = 0 for t.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and -0.16375943?\nAnswer: 0.0147383487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 291961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t**2 - 5*t + 3. Let v be d(5). Suppose 2*k - b + 5*b = v, 186 = 3*k + 3*b. Calculate the highest common factor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from qvvvgcvyggcv.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*q - 2*t = -197*q + 18, 15 = 5*q - 10*t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113.9 + -17.9. Let w = 96.000039 - f. What is w rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o = 136 - 656. Let i be (-56)\/o - (-21 - -23). Let k = 0.1 - -0.4. Sort 4, k, i, -3.\nAnswer: -3, i, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -5\/2*k**2 - 3 + 8*k + 4\/3*k**3. Let q(o) = o**2 - o + 1. Let v(d) = j(d) - 5*q(d). Differentiate v(s) wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 + (-19)\/(57\/(-414)) is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1727.5 + 1728. Which is the closest to 2\/7? (a) p (b) 1 (c) -3\/2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l - 3. Let h(o) = -5 + 1 - 3*o + 9*o. Let q(c) = 5*h(c) - 8*m(c). List the prime factors of q(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(6)*1 + sqrt(152)\/sqrt(8) + 2 - 6*5*(sqrt(19) - (sqrt(19) + sqrt(19) + sqrt(19)*1)**2)*5)*1.\nAnswer: -148*sqrt(19) + 25652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 592\/518*21\/2 and 1204.\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119090 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -49*r**5 + 41*r**4\/6 + 5*r**2\/2 - 4*r - 9. Find the third derivative of b(h) wrt h.\nAnswer: -5880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 176*r + 2002 - 4642. What is the remainder when 2560 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from avmkeaev.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 - -110. Suppose -4*t = -f - 6. Suppose 1056 = t*s + 208. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*m - 18. Is m\/(-6)*114\/(-4) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*c - 7 - 3, c - 14 = -3*o. Suppose c*d - 2*h - 71 = 113, -3*h + 92 = d. Let n(x) = 25*x - 106. What is the remainder when d is divided by n(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqoooqqoo. Give prob of picking 2 o.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-120 + 10\/(-2))\/(2\/(-8)). Let w = 505 - y. Solve q + 18 = -w*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 37*j**2 - 107*j - 1056. What is the lowest common multiple of w(-39) and 18?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/(-55) + (-7)\/15. Let y = 0 - -3. Which is the third biggest value? (a) -1\/2 (b) y (c) 0 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.97 (b) -3\/5 (c) 431\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38916762 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -516 (b) 12 (c) 1\/4 (d) -0.71 (e) 2\/23 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36.7 and 8?\nAnswer: -293.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (487\/7 - (35 + 8626\/(-266))) + -24.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + o**2 + 7 - 3*o**2 - o. Let n be m(0). Let j = n + 11. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 times -2.2\nAnswer: 103.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -0.9. Let d = 289.95 - 284.95. What is the third smallest value in d, -30, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-5)\/a*a**(1\/2)\/a*a**2\/(((a*a\/(a\/(((a\/a**(3\/7))\/a)\/a)))\/a)\/a) assuming a is positive.\nAnswer: a**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -901, 195 in increasing order.\nAnswer: -901, -1, 0, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -5144456?\nAnswer: 1\/1286114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*u**2 + 11*u**3 - u**3 - 404*u**2 + 195*u**2.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 221*x + 24. Let y be p(16). Round y to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -10\/3 (b) 0.12 (c) 195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1292857922.\nAnswer: 2, 17, 23, 37, 44683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14, 23, -1, 384.\nAnswer: -1, 1, 14, 23, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -2*p**3\/3 + 2*p**2 + 4*p + 656. Let h(q) = -q - 1. Give 5*h(t) + l(t).\nAnswer: -2*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 9*z - 1. Let a be 4\/((-16)\/(-60)) - 4. Let d be (a\/22)\/((-1)\/(-6)). Suppose -5*i - 2*q + 3 - 8 = 0, -5*i - 5 = d*q. Give k(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20277319, 81109299, 182495933, 324437221, 506933163, 729983759, 993589009?\n\"Answer: 20277327*n**2 - n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2. Let z = 5 + -7. Let h be (-7 - -6)*z\/(-4). Which is the smallest value? (a) l (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -0.7 (b) 12 (c) -5 (d) 145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15366 is divided by 641.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 p when three letters picked without replacement from pipppiiipppi.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -45310000 rounded to the nearest one million?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 398*o + 3190. Let v be k(-8). What is the highest common factor of v and 5946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**2 + 3*r**2 + 3*r**2 - r**2 + 0*r**2 + 0*r**2 + r - r**2 - r + (-r + 5*r - 2*r)*(0*r - r + 0*r) - r**2 - 4*r**2 + 3*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 7*g - 4*w + 25 = 0, w = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - j**2 + 5*j**2)*(0 + 0 - 12719*j + 12585*j).\nAnswer: -402*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22498706?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5936135 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - v**3 + 0*v**3 - 5 + 25*v - 23*v. Let g be r(2). Let z(b) = -2*b**3 + 2*b**2 + 10*b + 7. List the prime factors of z(g).\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 419.18 - 419. What is the smallest value in n, -2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31687 (base 11) to base 4.\nAnswer: 23033323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 175479185 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/33912 and 59\/8208?\nAnswer: 1288656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4553\/4980 - -1\/415. Let u(g) be the first derivative of -3 - v*g**3 + 1\/2*g + 21\/20*g**5 - 5\/16*g**4 - 5\/12*g**6 + 3\/8*g**2. What is k in u(k) = 0?\nAnswer: -1\/2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2550 - -2558. Let k(b) be the first derivative of -4\/3*b**3 + 6*b**2 - 23 - o*b. Factor k(v).\nAnswer: -4*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2882.161077 to 2 dps.\nAnswer: 2882.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 26*h + 1. Let a be t(-1). Let u = -13 - a. Suppose -11*i + 8*i + u = 0. Solve i = -2*z + 3*s - 7*s, 4*z + 3*s + 3 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 14940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500935 is divided by 3274.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 3*z - 11196 + 11175 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50.5213 - -0.0913. Let p = l - 0.57. Let j = p - -50.65. Round j to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7194 and 490718.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3136, 3226, 3316?\nAnswer: 3406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millimeter in micrometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 134?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -144 + 33500?\nAnswer: 33312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*x - 2*c, -6*c + 4*c = 5*x - 43. Suppose x*v = 45 - 45. Factor 1\/6*d + 1\/2*d**3 - 1\/2*d**2 + v - 1\/6*d**4.\nAnswer: -d*(d - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 20*s**4 + 75*s**3 + 60*s**2 - 20*s = 0?\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*n + 46*n = 53*n - 1722 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 93\/4 (b) -0.034 (c) -3\/5 (d) -0.5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0039935646 rounded to 5 decimal places?\nAnswer: 0.00399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-238) + (-65081)\/765. Let r be (3\/(-2))\/((-5)\/(-298)). Let w = r - v. Calculate the common denominator of 13\/3 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*(-23 + (-9 - -18))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let n(r) = 25947*r. Determine n(y(l)).\nAnswer: 25947*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -217, -314, -393, -448, -473, -462?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -17. Let o = -297 + 296. Which is the third biggest value? (a) m (b) -1\/11 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -13*z**2 - 16*z. Let g be w(-1). Suppose f - 50 = -g*r + 92, 3*r - f = 146. Calculate the highest common factor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.076 - -4.176. Let k = -7.1 + j. Let u = -3.03 + 3. Which is the second smallest value? (a) k (b) u (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 3\/5 (b) -2\/7 (c) 1\/2 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 2*i + 1)*(1 + 2 - 4) - 23947*i + 585 + 483 - 1068.\nAnswer: -23945*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10bb2732 + 16?\nAnswer: 10bb2748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + -42 - (-3 + (-3 - 13))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, a: 12, k: 3}. Give prob of sequence adaa.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3138*l + 51. Let b(a) = 1045*a - 18. Calculate 17*b(r) + 6*i(r).\nAnswer: -1063*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 2327.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106842 is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 344*k**2\/7 + 96*k\/7.\nAnswer: 4*k*(k + 12)*(7*k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 8*n - 4. Suppose 0 = 16*d - 12*d - 168. Let a be (-31)\/4 - d\/(-56). Let z be y(a). Solve -q - 2*q = z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b - 2153691. Let r(v) = -v + 77. Determine c(r(f)).\nAnswer: 2*f - 2153845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, p: 4, y: 3}. What is prob of sequence nn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 + -7506.545?\nAnswer: -6870.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -68.7763?\nAnswer: -13.75526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 175*s + 65. Let l(n) = 8*n + 3. Give -130*l(g) + 6*r(g).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from {b: 4, i: 9, j: 2, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-18))\/v**(2\/5)*(v**(-7\/3)\/v)\/v**(1\/5) assuming v is positive.\nAnswer: v**(-314\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 95, -11674*n + 2*f = -11666*n - 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**3 + 22*s**2 + 200*s + 4. Does 53 divide a(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 16319*u**2 + 9*u + 9. Is n(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 0) + (-46)\/2. Let p = -12 - y. Let g be (-2)\/(-5) + p\/(-35). Solve -3*x = -8*x + 2*a, g = -4*a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*2*sqrt(88))\/((sqrt(64) - 5*(sqrt(64) - -1*sqrt(64)))\/sqrt(8)).\nAnswer: -8*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 35*y - 43. Determine x(-14).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 21. Suppose -u*c + 2*w = -30, -1 - 14 = -c + 3*w. Suppose 0 = -4*f + 5*o + 14 + 27, -c = 3*o. Solve -f*k = -5*l + 37, 3*k + 0*l = -5*l + 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 3)\/4*1. Let j(v) = -v**2 + v + 5. Let u be j(p). Let z be 8\/(-30) + 1\/(-3). Which is the nearest to 1? (a) u (b) z (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a - 12, 5*g + 2*a - 1133 = 0. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a3e010c + 5?\nAnswer: -a3e0107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 352 - 2*k**3 - 696 - k**2 + 241 to the form i*k + m*k**2 + n*k**3 + u and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 41013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36620.\nAnswer: 2, 5, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13368 is divided by 537?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*u**2 - 6*u - 3*u**2 + 5*u - u in the form p*u**2 + x*u + k and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -15. Suppose 0 = -o*p + 5*p + 171000. Round p to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/24 and -26\/201.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 = -125*d + 130*d, -4*d = 5*l - 30. Suppose 3*n - 8 = -n. Suppose 2*s + 2*h = -4, d*s + h = -n*s + 1. Solve 2*x = -x + s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 650.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-35)*(2 + 45\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b**2 - 102*b + 6. Let j(a) = -8*a**2 + 103*a - 7. Determine -5*j(g) - 6*r(g).\nAnswer: -2*g**2 + 97*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(13) - sqrt(130)\/sqrt(40) - sqrt(13)) - (sqrt(117)*1 - (5 + sqrt(52)\/sqrt(4))))**2 + ((4 + sqrt(1053) + 2)*2)**2 + 3.\nAnswer: 382*sqrt(13) + 4709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79568?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w - 7*w**2 + 9*w - 22*w**2 + 20.\nAnswer: -29*w**2 + w + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/27 and 14\/71?\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6916520827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20162 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -799.22 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooeaooooaeeaeo. Give prob of sequence eao.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -38491 * 0.138\nAnswer: -5311.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -65 + 121 + -29 + 1\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1106*g + 4107*g = -3088*g - 2760*g - 973368 for g.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/24388600 and -79\/16.\nAnswer: 48777200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 1, b: 1, r: 2, s: 2, g: 1}. What is prob of picking 3 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/2520 and 11\/48888.\nAnswer: 244440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -547\/215305 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*j + 40*j = -14*f + 37*f - 1423, -46 = -f + 3*j for f.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -832\/7383 + -5\/107. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 3)*(-f**2 - 2*f**2 + 2*f**2) + 45*f**2 + 931*f**2 + 144*f**2 to the form h + m*f + q*f**2 and give q.\nAnswer: 1118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/27 - 8\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5)\/q**(1\/2)*(q**(-2\/3))**(-33) assuming q is positive.\nAnswer: q**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5031\/173635 + -2\/4961. Let g(m) be the third derivative of 0*m + 0*m**4 + 0*m**5 + 9*m**2 + 0*m**6 + 0 + m**3 + o*m**7. Differentiate g(x) wrt x.\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(52)\/(sqrt(4)*-2) - sqrt(13) - sqrt(13) - (sqrt(52) + 0))**2 + sqrt(117)\/(-1*sqrt(576))) + -3.\nAnswer: -5*sqrt(13)\/8 + 5253\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 644*v - 358. Let m be t(-7). What is the hundreds digit of (1 - m\/3) + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 5 = -6*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 4*p - 1\/54*p**4 + 1\/9*p**2 + 1\/27*p**3 + 0 - 1\/90*p**5. Factor b(z).\nAnswer: -2*(z - 1)*(z + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 + 345 = 3*y. Let z be (7 + -2)*4\/y. Let k = -4 - -4.2. Which is the nearest to 0? (a) z (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 96347? (a) 0.5 (b) 0.2 (c) 2 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**4 - 6178065*n**3\/4 + 66413067*n**2\/4 - 32820267*n - 9266904 = 0. What is n?\nAnswer: -1\/4, 3, 8, 514828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert c3b08c (base 14) to base 7.\nAnswer: 110044235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 391*f + 8088. Determine c(20).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15\/4 of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324166 is divided by 3287?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 1265.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6277315 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5663.\nAnswer: 7, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 51*u - 30. Let s(m) = 98*m. What is s(k(f))?\nAnswer: 4998*f - 2940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**4\/6 + 14*q**3\/3 - 10*q**2. List the prime factors of a(21).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1519 + 8629. What is the thousands digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 6)\/((-4100)\/39360).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = 14. Suppose -2*r + 4*r = z. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6335 = 59*p + 1733. Let f be 26\/7 - p\/(-273). Solve -f*t - 6 = -2*s + 20, -3*t - 2*s - 9 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-145)\/(-25) - 6)\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 176.2213mm?\nAnswer: 17.62213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -27 in ascending order.\nAnswer: -27, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1047531 is divided by 43647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -b2 (base 12) to base 16\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-10))\/2 + (-52)\/(-10). Suppose p*v = -0*v + 2*j + 947, v - 5*j = 171. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9546 + 9937. Solve 0 = 26*a - 547 + n for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -18*i + 5*i - 7*i - 5*i. Let p(f) = -2*f. What is p(g(m))?\nAnswer: 50*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 10676172.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a factor of 6393816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 12*z**2 + 4*z. Let i be c(-1). What is the second derivative of -i*n**2 - 12*n**2 - 32*n**2 + 59*n wrt n?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 329160071 and 1613?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -218*d + 9561. Calculate s(44).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4403753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 342055 + 23?\nAnswer: 342122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 328?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w - 8 = -4*k, 5*k - 10 = w. Suppose 4*l = 14 - k. Suppose 4*g - l = 5. Solve -36 = -4*t - g*v + 6*v, 4*t + v = 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:11 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 100*d. Let y(n) = -n. Give y(g(j)).\nAnswer: -100*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2362 - 56*w**2 - 2362.\nAnswer: -56*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -15 + 57. Let z(c) = c**2 + 12*c + 3. Let f be z(l). Solve -4*o = 3*p + f, 8 = o - 4*p - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 428*t**2 - 2813*t - 19. Give b(6).\nAnswer: -1489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*j - 7*j - 212 = 0, 310 = 3*r - 2*j. Let y = r + -58. Let a = y - 14. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 3, 0.4, -1\/7, 248?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 13 = 2*g - 17, 3*g = 3*y + 9. Suppose 5 = -3*r + 8*r. What is the nearest to r in g, 3, 25, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 3*k + 439 = -2*r, -5*r - 5*k + 575 = 0. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5496, 11070, 17006, 23484, 30684?\nAnswer: 38786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26677920 and -0.7.\nAnswer: -26677920.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 3*k**2 - 14*k - 30. Let m be n(-2). Put -1, m, 3, 104 in decreasing order.\nAnswer: 104, 3, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 9*c - 663 = 0. Suppose 4*l + 5*b = 2098, -l - 133 = 4*b - c. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 330304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 12:25 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 909 - 6366\/7. What is the nearest to 3 in 3\/2, m, -1\/8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 58.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1415, 2836, 4265, 5702, 7147, 8600?\n\"Answer: 4*s**2 + 1409*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - 49. Suppose w - 3*w + t = -391, l*w - 5*t = 411. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 5. Let z be h(0). Let d = -390 - -387. Let q = 0.12 - 7.12. Which is the third smallest value? (a) q (b) z (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-3)*(-8 + -28 + 33).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 10*w - 8. Let j be m(5). Let y = j - 38. Find the third derivative of -1593*g**4 - 36*g**2 + 1593*g**y - 28*g**5 wrt g.\nAnswer: -1680*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*((-125)\/(-6) - 4). Let b = -31 + 87. Let x = q - b. Calculate the greatest common factor of x and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*t + 6*t - 48 + 9*t - 44 - 15*t to the form m + r*t and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -465 - -474. Suppose 2*l - 5*a = -14, 2*a + 0 = 4*l - 4. What is the lowest common multiple of l and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*z**3 + 13848*z + 36*z**3 - 13769*z - z**2 in the form c*z**2 + k + j*z + f*z**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*k**2 - 28*k - 43512.\nAnswer: 4*(k + 42)*(6*k - 259)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 21. Let u be 1\/3*((-55)\/121 - -1). Which is smaller: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 3*n**3 + 3*n**2 + 13 + 4*n**3 - n**4 in the form b*n + f*n**3 + p + d*n**2 + i*n**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3 + 84*w**2 - 784*w - 1920 = 0. What is w?\nAnswer: -2, 20, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**5\/15 + 22*x**2 + 1. Let j(v) = 0*v - 2*v - v. Determine g(j(o)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -16. Suppose 3*r - 23 = i. Let s = -282 + 403. Calculate the highest common divisor of r and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235782 and 119862.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1655, 1079, 553, 77, -349?\n\"Answer: 25*h**2 - 651*h + 2281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/13)\/b**(-5))\/((b\/b**(-26)*b)\/((b*b**(8\/11)*b)\/b)))**(8\/15) assuming b is positive.\nAnswer: b**(-4832\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2131460647 and 5882.\nAnswer: 2131466529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18dafd + -2?\nAnswer: 18dafb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34160570, -34160561, -34160548, -34160531, -34160510?\n\"Answer: 2*b**2 + 3*b - 34160575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 153031445.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 9:08 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/(f**7\/f)))\/(f**(-10)\/f))**(6\/13)*(f\/f**2)\/f*f**6*(f*(f*f*f*f**(-7\/4)*f)\/f*f)\/f**9 assuming f is positive.\nAnswer: f**(341\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3920407 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -267, -1100, -2519, -4548, -7211, -10532?\n\"Answer: -4*j**3 - 269*j**2 + 2*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, u: 2, k: 5, d: 2}. What is prob of sequence duda?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5*k = -2*v + 8, -3*k + 9*v + 36 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8994071 to the nearest one thousand.\nAnswer: -8994000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 14*t - 38. Let l be b(-9). Let c = -11 + 17. Suppose -g = -c*g + 15. Solve -2*q = -7*v + 2*v - 30, -2*v + l = g*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18148 and 21638.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k - 111 + 112 - k - 4*k. What is s(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 541.\nAnswer: -2164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16564831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2971 - -2981. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77507671.2 - 0.219\nAnswer: 77507670.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2064 divided by 129?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -3 (b) 3 (c) -1 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 567037432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 81160, 322909, 725236, 1288141?\n\"Answer: 80289*d**2 + 882*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -15 (b) -4 (c) 1\/9 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 63\/(-6)*(-2)\/3. Suppose 3*s - 220 = q*s. Let f be 24\/11 + 10\/s. Solve x = -f*b - 2*x, -b = 3*x + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60.93 + -59. Let h = 2 - x. Let z = -0.47 + h. Which is the smallest value? (a) 1\/8 (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5, -2*d = -0*d - 3*p - 19. What is the lowest common multiple of 16\/6*66\/d and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d - 3703 = -4*r, 2*r - 1847 = 3*d. What is the greatest common factor of r and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 12:48 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55694152 and 11658.\nAnswer: 167082456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5094 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 - 101. Suppose -2*f = -o + 6*o - 519, z*f = -o + 96. What is the greatest common factor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*r - 4*i - 175, 595 = 4*r + 5*i. What is the highest common factor of r and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2328\/(-1440) - (-49)\/28. What is the nearest to 0 in 0, s, 0.4, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318576 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2351865565 to the power of 1\/2, to the nearest integer?\nAnswer: 48496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 0 + 5 - (-28)\/(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 2*v**2 - 2*v - 2. Let t(g) be the first derivative of -g**4\/4 - g**3\/3 + g**2\/2 - 175. What is -q(h) - 2*t(h)?\nAnswer: h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8697493?\nAnswer: 7, 359, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 3) + -3 - (4056 + -3990)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -177 in 1, -0.2, 1\/557, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + -138 + 182 - (1 + -1 + 2 + -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 23*s**3 + s**2. Let g be k(-1). Let h be 1 + g\/5 + 3. Let m = 0.165 + 0.035. Which is the closest to 0.4? (a) 1\/7 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155418596.\nAnswer: 2, 79, 557, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-1)\/(-1))*37*(-3400)\/51800?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1904832*i*k**2*o - 508*i*k**2 - i*k*o + 544*i*k - 9*i*o - 3*i + 2*k**2 wrt o.\nAnswer: -1904832*i*k**2 - i*k - 9*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/170 - (-768)\/2652.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(3 - 2) + 9\/12. What is the fourth biggest value in u, -2\/7, 4, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 9*a**2 - 21*a - 9. Let c be l(11). Solve -v + 12 = -5*w, -4*v - 15 = -c*w + 3*w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -234345?\nAnswer: -234343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 smaller than -60\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzcdzzzczdz. What is prob of picking 1 z and 2 c?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 3536?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77\/231 + ((-128)\/(-6))\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqyqaggqygggl. Give prob of sequence hqlg.\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0807 + -0.0273.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ac1 + -3?\nAnswer: abc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t - 3 = 0, 2*q - 19 = 5*t. Suppose 5*k = 4*r + 85, q*k - 2*r - 36 = -0. Suppose 5*a - 2 = k. Solve a*v = 5*h - 13, v + 12 = -3*v + 4*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28910 divided by 295\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 x when two letters picked without replacement from {f: 8, d: 3, z: 1, x: 2, g: 1, p: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -497*1\/(-275) + -2 + 0. Let h = 3\/11 + i. Is 3\/5 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 9:16 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3625044?\nAnswer: 2, 3, 269, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**3 + 3*r**2 - 3*r - 1. Suppose 0 = 5*l - 5 + 20. Let f(o) = 3*o**3 + 2*o**2 - 2*o. What is l*f(d) + 2*m(d)?\nAnswer: -d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27342.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1130 and 7.\nAnswer: 7910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 2*h + 3 + 4 = 0, h = 5*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.11 and -0.17?\nAnswer: 2.5687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 - 54245*g**3 + 866960*g**2 - 3466560*g.\nAnswer: 5*g*(g - 10833)*(g - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0394 - 0.2.\nAnswer: -0.2394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 465 - 438. Suppose u*w + 112 = 34*w. What is the remainder when w is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from kkeskkeskkyk?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 9 + 9)*(-9 - 17 + 6).\nAnswer: 80*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 58294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(500)*-1 + sqrt(500) + 2 + 1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -79*x - 18. Does 15 divide v(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107380181809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/3668 and 51\/4?\nAnswer: 3668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2, 0, -0.055, 37, -73\/14, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((77 - -1) + -9 - 14).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705542 is divided by 2045.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1307155 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 2, u: 1, d: 1, f: 1, w: 2}. What is prob of picking 1 d and 1 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f**(-2)*f)**(-8\/7)*(f**(1\/4))**(11\/4) assuming f is positive.\nAnswer: f**(-179\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026076181 rounded to 5 dps?\nAnswer: -0.02608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x - 28. Let l be w(-12). Let n = -2 - l. Let o(h) = h**2 + 8*h**2 + 6*h**2 - 13*h**n. Let i(t) = -10*t**2. Calculate i(o(s)).\nAnswer: -40*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 172*s**2 - 2*s + 4. Let f(d) = 12*d. Calculate f(c(h)).\nAnswer: 2064*h**2 - 24*h + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/10 - 1547\/455\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1400 + -10103?\nAnswer: -12003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15*1*2\/6. Suppose n + b = -2*x, 0*x - 4*x + n = 19. Let r = 3 + x. Which is smaller: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + f + f)*(5 - 1 - 2)*(-5 + 7 + 2) + f + f - f in the form h + l*f and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 688 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 7*k - 6. Suppose -5*l = 6*c + 82 - 35, 3*l - c + 19 = 0. Calculate f(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.41 + 0.41. Let h = -2.5 - k. Which is the second biggest value? (a) h (b) 0.3 (c) -35 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -4. Let k = 59 + -179\/3. Suppose 72 = -36*x - 0. What is the closest to k in d, 1\/3, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-17))\/((-741)\/494)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 0*w + 5 + 45*w**2 - w - 24 to i*w**2 + s*w + p and give i.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 12 (c) 0.62 (d) -3 (e) 1035\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + x**2 + 2. Let i be k(0). Let s = -4 - -6. Suppose -2*g**2 + g**2 - g**i + s = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) 4 (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**5\/150 + l**3\/15 - 5*l**2\/2 - 2*l. Let r(q) be the first derivative of v(q). Factor r(c).\nAnswer: -2*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 14, 1154132?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/49*-7)\/(15\/(-2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/75)\/((-127)\/25 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -13*o + 263. Suppose 0 = -o*y + 17*y + 854. What are the prime factors of y?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 44*h - 284. Determine g(-10).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + 1. Let i(u) = u**3 - 28*u**2 + 118*u - 52. Let r be i(23). Let f = v - r. Calculate the remainder when f is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 1:34 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76328 by -4.\nAnswer: 19082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -3)**2 + -1 - sqrt(539).\nAnswer: -49*sqrt(11) + 547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14044431 (base 5) to base 10.\nAnswer: -143741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20 (b) 3 (c) -524\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*a - 16, p + 0*a - 5*a + 24 = 0. Let d(u) = -u**2 - 6*u - 6. Let s be d(p). Suppose 6 - s = 4*h. Which is smaller: 1\/6 or h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Let b(t) = -2*t**3 - 57*t**2 + 8*t - 553. Let q be b(-29). Suppose 4*d + f*d = -q. Sort -4, -1, d in descending order.\nAnswer: -1, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 9, 1, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + t - 1. Let j(n) = 5*n**3 + 5*n**2 + 4. Let q(y) = 2*f(y) + j(y). What is q(-2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 808 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 11*i**3 + 28183 - 28183 + 2*i to l + d*i**3 + t*i**2 + a*i and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llr when three letters picked without replacement from {r: 16, l: 4}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -1. Let u = 1 + j. Suppose v - u = -2. Solve 4*k = -v - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**2. Let k(y) = 12*y**2 + 17. Let c(g) = -2*g**2 - 3. Let n(d) = 34*c(d) + 6*k(d). What is i(n(j))?\nAnswer: 112*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13012 is divided by 186?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/24)\/(1\/10). Solve 2*l + n = 4*l - 3*b, 0 = -2*l - b + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -12*g + 163. Let o be l(14). Let v = -4.07 + 0.07. Is o not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24715 divided by 5\nAnswer: 4943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121706062 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - 4*w**2 - 5*w - w - 40*w**4 + w**3 + 6*w + 3*w**2 to the form t*w**2 + z*w + k + s*w**4 + n*w**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 5. Let v(s) be the first derivative of 0*s + 51 - 1\/2*s**2. Let b(q) = 7*q. What is o*v(d) - b(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/73411 and -1\/507.\nAnswer: 2863029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 498058379 to the nearest integer?\nAnswer: 22317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 7019 = -4*j, -4*c + 22*j + 28202 = 20*j. What is the thousands digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -773 + 727 - 5*l**2 + 2*l**2 + (0*l + 2*l - 4*l)*(-4*l + l + l) to c*l**2 + y*l + j and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 28*a - 6 + 13*a**2 - 4*a**2 - 3*a**2 - 35*a. What are the prime factors of z(-7)?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 1, g: 2, h: 1}. Give prob of sequence jzh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 23168775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -74 and 1.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3302, -6555, -9772, -12947, -16074, -19147, -22160?\n\"Answer: s**3 + 12*s**2 - 3296*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2879 - 2719. What is the least common multiple of 800 and i?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21664.99971557 + -21665. Round w to five dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(128) - (4 + -3 + sqrt(128))) + (-2 + sqrt(2))*5 + ((sqrt(2) + 2)*3)**2 + sqrt(2).\nAnswer: 38 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let t(p) be the third derivative of 1\/30*p**5 - p**2 + 0 + 0*p + 0*p**3 + 0*p**4. What is t(d(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2473*f - 1903 wrt f.\nAnswer: -2473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -g + 3, -3*f + 14 = -2*f - 2*g. Let t(v) = v**3 - 3*v**2 - 4*v. Let r be t(f). What is the biggest value in r, 5, -3, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*p + 4. Let h be (-2)\/((-5)\/(50\/p)). Let s = 26 + -23. Sort h, s, -2\/7 in decreasing order.\nAnswer: s, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2\/g)**30\/(g**0)**19)\/(((g*g**9)\/g)\/(g\/(g*g\/(g**(2\/9)*g*g*g)))*((((g\/(g**(-1\/3)*g))\/g)\/g)\/g)\/(g*g*g\/g**(2\/19)*g)) assuming g is positive.\nAnswer: g**(5093\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -423*w**2 + 6*w + 12. Let c(z) = 141*z**2 - 2*z - 4. Let a(n) = -11*c(n) - 4*r(n). Is a(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1486.43 - 1487. Is t greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9573698 days to seconds.\nAnswer: 82716.75072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 1431 - 2341 - 5*v - 1634.\nAnswer: -2*v - 5406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 352, 696, 1040?\nAnswer: 1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.4 (b) -20 (c) -1\/2 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28721 is divided by 167?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -21. Let c = i + -22. Let v = 38.999939 + c. What is v rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(1377) - (0 + sqrt(1377))) + sqrt(1377))*5 - -3*(sqrt(1377) + -5))**2 + 5 + 0.\nAnswer: -2160*sqrt(17) + 88353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 9595.\nAnswer: 2878.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 3. Let m be p(5). Let h = 49 + m. What is the third derivative of 4*b**2 + 3*b**2 - 5*b**h - 11*b**6 wrt b?\nAnswer: -1320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1645 (base 14) to base 15\nAnswer: -12a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6295 = -3*t, -5*t - 4*f = -5*f - 10481. List the prime factors of t.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -213, -214, -215, -216, -217?\n\"Answer: -c - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2)*i**(-3\/4)*(i**(-4)\/i)\/(i*(i*i**4)\/i*i) assuming i is positive.\nAnswer: i**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 46032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 + 45*d**3 - 192*d**2 - 540*d.\nAnswer: 3*d*(d - 5)*(d + 2)*(d + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.7 + 6411428836.\nAnswer: 6411428816.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 427729.3l in millilitres?\nAnswer: 427729300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30205175 to the power of 1\/2, to the nearest integer?\nAnswer: 5496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifcc when four letters picked without replacement from {i: 3, f: 7, c: 9}?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4576384277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2810.68 take away -0.04904?\nAnswer: -2810.63096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 22092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-248))\/((-22)\/(-974)). Let q = 189 - 2094\/11. Let r = q + x. Are 1 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.4? (a) -339 (b) 3 (c) 604\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + q - 3*q + 1 - 2*q. Let m = 294 + -293. Give v(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-363)\/(-242)*(0 - (-8)\/6). Solve 15 = -3*y - w*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 6*l - 4. Let s be n(6). Suppose 16*f = 30*f - 14. What is the smallest value in f, 2\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 9*y**2 - y**2 + 19*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.285 - -3.285. What is the third biggest value in -3, i, -6, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 24. Let a = 49 - i. Calculate the least common multiple of a and 1.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 223*j**2 + 4. Let l(p) = -56*p**2 - 1. Determine -2*b(a) - 9*l(a).\nAnswer: -2*a**3 + 58*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 + 649*r**2 - 15792*r - 61410. What is b(-347)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*g, 3*p - 17*g = p - 16*g - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 33. Calculate the smallest common multiple of 2 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -337*u**4 - u**3 + 346*u**4 + 2 - 1 in the form h*u**3 + j + k*u**2 + a*u**4 + f*u and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158 by -17.\nAnswer: 158\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-31)\/64)\/(14\/56) and (20\/(-6))\/((-20)\/45).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 60 + 76 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 2.2. Let w = -0.8 - j. Let v = -0.04 - -1.04. What is the closest to v in w, -0.1, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8506, 8556, 8620, 8704, 8814, 8956, 9136?\nAnswer: 9360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 27187*v + 10206. Is z(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4*1628\/(-111)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + 5 + sqrt(95)\/sqrt(5)).\nAnswer: -30 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1913 - 1910. What is the closest to -1\/2 in 45, -1\/3, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1915 - 1131 = 112*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.12841us to minutes.\nAnswer: 0.0000010354735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10711\/6 + -1798. Find the common denominator of n and (1464\/(-9))\/8 - -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((((-54)\/(-189))\/(120\/(-35)))\/((-23)\/(-9)))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 - (4 + 15 - 18)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 - -2.16. Suppose -10*u - 48 + 48 = 0. What is the nearest to u in 0, -1\/4, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1207*b + 1 - 228*b - 766*b - 1 - 212*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582 is divided by 141?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129706*f + 62640*f + 8053*f.\nAnswer: 200399*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -79, -111, -143, -175?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/((-2*sqrt(54))\/sqrt(6) + sqrt(9))*5.\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -294, 281, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 8)*(-d + 8*d - 3*d).\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -38, -103, -224, -419, -706?\nAnswer: -1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1250a (base 12) to base 8\nAnswer: 60532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -230 + 219.1. Let l = k - -13.317. Let y = -2.4 + l. What is y rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58595 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12022002 (base 3) to base 15.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**4\/8 - 17*h**3\/6 - 31*h**2\/4 - 15*h\/2 - 218. Solve p(f) = 0 for f.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 48. Suppose -2*m - n = 1, 5*m + 0*n - y = 2*n. Let s be (-21)\/2 - m\/2. Is -1 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1 (b) 1\/3 (c) -6 (d) -38 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17215\/4746 or 3?\nAnswer: 17215\/4746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5157 - -6?\nAnswer: -5151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.5. Let y = -2.5 + 2. Let f = i - y. Which is the closest to 1? (a) -0.2 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9019590.99859 - 9019467. Let a = c + -124. What is a rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - g**2. Let m(s) = -12*s**3 + 12*s**2. What is -5*m(i) - 60*p(i)?\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316 - 8*q - 29*q**2 + 30*q**2 - q + 219 - 2267.\nAnswer: q**2 - 9*q - 1732","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100011010 (base 2) in base 14?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4158514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n + 15008 = 15269. Solve -3*r - 9 = -3*h, 6*r + h = n*r + 15 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 93026806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*a - 6 = -99*a. Solve 2*d + 5*w - a = -14, d - 3*w - 7 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 696 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 + 7*m**2 - 24*m + 63*m + 24 - 11*m**2 - 2 to y*m**2 + d*m + a and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from mxaaapmpaaamypaxxmma?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -545998 divided by -747.\nAnswer: 545998\/747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2.28?\nAnswer: -1.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6170?\nAnswer: 2, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1fe + 226?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -h + 147, -2*l = h + h - 310. Suppose 2*k = -y - 155, 2*k = -2*y - 3*y - h. Let g = k - -129. What is the remainder when 100 is divided by g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 - 3*c**2 - 7*c - 9. Let u(h) be the second derivative of h**3\/2 - h**2 - h. Calculate the lowest common multiple of i(-2) and u(4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1945589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03750715 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -1)*(-5)\/(-15). Let z(c) = -3 + c**2 + 5 + a + 8*c. Determine z(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 6) to base 9\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -322454?\nAnswer: 322502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4948 - -6878. What is the remainder when y is divided by 161?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.08, -4\/5, 2.2, 4, 1?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 183987 + 16*l**2 + 183987 - 24*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/609 and 4\/278719.\nAnswer: 836157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/2 - 11097*w\/2 + 264093.\nAnswer: -3*(w - 47)*(w + 3746)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/sqrt(5) + sqrt(20)\/sqrt(40) + -2)*-3 - -5*(5 + (-1 + -2*sqrt(2))**2 + 3).\nAnswer: 13*sqrt(2)\/2 + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10432314 to the nearest integer?\nAnswer: 3230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + 26. What is the remainder when v is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -19.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + w**2 - 2*w - 1. Let g = 10 + -21. Let b(q) = -1748*q + 878*q + q**3 - 5 + 5*q**3 + 6*q**2 + 859*q. Determine g*h(p) + 2*b(p).\nAnswer: p**3 + p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7950 and 31270.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -377563610 divided by 75512722.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 10:08 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.2. What is the third biggest value in -4, -0.06, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqaqqaqj. What is prob of sequence aaj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3867 divided by -4\nAnswer: 3867\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kdbdxbdxbybxdoxyxdb. What is prob of sequence ybk?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12890 + 30.\nAnswer: 12920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (31\/(-4) + 189\/21)*8072 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.95 - 18.647. Let b = q - 0.303. Let c be (2 + 16\/(-6))\/2. Is c greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 148*f**2 + 14*f**2 - 8*f**2 + (31 - 21 - 26)*(-f**2 - f**2 + f**2) in the form t*f + l*f**2 + b and give l.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2) + 22 + (-30 - -11) + -19.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 253456?\nAnswer: -1\/253456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40617?\nAnswer: 3, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1019081622.29999754 + -1019081642. Let a = i - -19.7. What is a rounded to 7 dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(-3 + (sqrt(1331) + -2)*6 - (-5*(sqrt(1331) + 1) + sqrt(1331) - 1*sqrt(1331)*-4))**2*-5.\nAnswer: -1200398 + 33000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.8 - -0.8. Let u = 14 + k. Which is the smallest value? (a) -4 (b) -1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16910 is divided by 4218.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**2 - l + l - 2*l + 3*l. Let p be z(1). Calculate the lowest common multiple of 36 and (4\/p)\/((-4)\/(-108)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -477 = -6*j + 393. Is j a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*l - 86413 = 0, -30*l - 20 = -25*l. What are the prime factors of n?\nAnswer: 11, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*b + 32*b + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**3\/6 + 198*m. Let r(u) = 1. Suppose -4*a + 0 = -4. Calculate a*r(k) - 2*i(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8249702819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 7:49 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*z + 200*z = -63. Suppose 3*f = z*f - 56. What is the greatest common divisor of 742 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-9))**32\/((r*(((r*r**(-1\/3))\/r)\/r*r)\/r)\/r)**(-1\/28))**10 assuming r is positive.\nAnswer: r**(-47050\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*a - 24, 0*n + 2*a = 5*n - 30. Let k = 1839 - 1808. Calculate the remainder when k is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + 23. Let o = -14 + 32. Calculate the remainder when z is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 2*d - 5 - 2*d - 3 + 3 + (-4 + 3 + 0)*(-2700*d + 2688*d + 3 + 4).\nAnswer: 12*d - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.15 + -0.15. Let y = -6 + m. Let r be ((140 - 134)\/((-30)\/(-4)))\/(1\/5). Which is the second biggest value? (a) r (b) y (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 336.3112 centimeters?\nAnswer: 0.003363112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.234607\nAnswer: 1.173035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147859 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -151, -347, -623, -979, -1415?\nAnswer: -1931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 150 + -105. Calculate the greatest common divisor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 - g**2 + 0*g**2 + (g**2 + 0*g + 0*g)*(-2 + 1 + 5) + (-2*g + 4*g + 0*g)*(4*g + 4*g - 6*g) + 5*g**2 - 4*g**2 - 4*g**2 - 2*g**2 + 0*g**2 + 0*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**3 - 2*u**3 - u**3 + (-2*u**2 + 4*u**2 - 4*u**2)*(3 - u - 3))*(-508*u**2 + 355*u**2 - 314*u**2).\nAnswer: -1401*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + a. Let q(u) = u**2 + 3*u. Let j(z) = q(z) - 2*w(z). Let j(v) = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*-68414\nAnswer: 615726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 120, 153, 220, 327, 480, 685, 948?\n\"Answer: p**3 + 11*p**2 - 7*p + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*j - 18, -4*f - 3 = -2*f - j. Let r(y) be the third derivative of -y**6\/120 - y**5\/15 - y**4\/24 - y**3\/6 - 44731*y**2. What is r(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*z = 114, -2*s - 5*z - 26 = -64. Let l = -22 + s. Let k be (4\/2)\/((-4)\/(-10)). Solve -l*y + 8 = 2*t - 6*y, -k*t + 20 = y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/17138584 and -42\/27850199.\nAnswer: 222801592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-16 - (11 - 21)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r - 2. Determine s(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iuuiiuhuiiihiuhuh?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*b - 4990*b - 335057 - 13443 = 402*b for b.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smddd. What is prob of sequence sdm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*z - 189*z = -380*z + 90 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 3 + 6. Suppose 2*i = n*i. Solve i*x = 2*x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37841 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -1, -3.533, -30, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 65*z. Let m(v) = 5*v. Let i(h) = -40*m(h) + 3*y(h). Let k(q) = -2*q**2. What is k(i(t))?\nAnswer: -50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1964*k + 36. Let m(h) = 393*h - 6. Let d(a) = -5*m(a) - v(a). Let g = -2 - 6. Calculate d(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khff when four letters picked without replacement from {k: 5, f: 5, q: 1, h: 7}?\nAnswer: 35\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i + 23. Let v(z) = z + 22. Let f(g) = -3*a(g) + 4*v(g). Calculate f(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, o: 3}. What is prob of picking 3 b?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trtvvttrtcvrwv. What is prob of picking 1 c and 1 t?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23727312357 and -2.\nAnswer: 23727312355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*f - 67, -3*f - f + 113 = 3*b. Calculate the highest common factor of 351 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:29 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3))**(2\/113)\/(g\/(g*g**0)*g)**9)\/((g**(-16\/5)*g)\/g**7)**(1\/37) assuming g is positive.\nAnswer: g**(-549581\/62715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/220*11*15*-6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvi when three letters picked without replacement from uvvbuubbuvbbqvuveqi.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.003? (a) -2\/11 (b) -0.8 (c) -225\/28 (d) 4\/5 (e) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*m - 507 + 8*m + 17*m.\nAnswer: -175*m - 507","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/113132 and -131\/33864.\nAnswer: 957775512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (10\/15)\/(2\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 594891 - 594890.97699932. Let i = -0.433 + 0.41. Let h = i + y. What is h rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14086549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in seventy-six sevenths of a week?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 696111090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16296 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1428 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 16, 69, 174, 349, 612, 981, 1474?\nAnswer: 2109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-614104)\/(-11040) + 5 - (-7 + 4). Let m = -1287\/20 + w. What is the common denominator of (2 + 0)\/((-24)\/(-98)) and m?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cctkctkctocc. Give prob of picking 1 k, 1 o, and 2 t.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -19 - 5. Let q(n) = -n**2 - 11*n - 8. What is the smallest common multiple of p and q(-7)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1050687 is divided by 160?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 829531127 a multiple of 932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245728 (base 10) to base 2.\nAnswer: 111011111111100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 22595*k**2 + 1507605*k - 24965325.\nAnswer: -5*(k - 33)**2*(k + 4585)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**4 + 8*w**2 + 2*w - 2. Let q(g) = -4*g**4 + g**3 + 8*g**2 + 3*g - 3. Let r(c) = -2*q(c) + 3*v(c). Factor r(j).\nAnswer: -j**2*(j - 2)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/5)\/(3\/15). Let s be 1\/(p\/(-102)) - 3. Let x = -32 + s. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4601.\nAnswer: 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 234 - 38. Let b = t + -168. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+1389245588458\nAnswer: 1389245588456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 - 9 = -4*n, -5*s = -4*n + 17. Find the second derivative of -8709*y - 3*y**4 + 2*y**n + 0*y**3 + 8814*y wrt y.\nAnswer: -36*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in sixty-seven quarters of a kilometer?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1122022461 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -4, 0 in descending order.\nAnswer: 5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.1 (c) 760 (d) -100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 12*t**2 + 21*t - 3. Determine o(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 11:02 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 342?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402064239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 = -3*k. Calculate the remainder when 13 is divided by (-1 - -4) + k + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1038 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*2)\/((68\/(-272))\/(15\/20))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25101717*c**4 + 38688791?\nAnswer: -100406868*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-2) + 0)*-2. Let c(p) be the first derivative of 3 + 1\/3*p**3 + f*p + 5\/2*p**2. Determine c(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/96*(-20)\/75.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.1 + -160.1. Let t = y + 133.99887. What is t rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/6 - (-4)\/12. Suppose 0 = -p*v + 3*t + 1009, 2*t + 2550 = 2*v + 3*v. Suppose k - 131 = -u - u, -2*u + v = 4*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 19*o**2 + 62*o - 208.\nAnswer: (o - 2)*(o + 8)*(o + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86448126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12558209 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2183.6 and -37215.\nAnswer: -39398.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - 2 - 750\/160. Let g(x) be the second derivative of 4*x + 0*x**2 - 3\/4*x**4 + 0 - a*x**5 - 1\/6*x**3 - 5\/6*x**6. Factor g(k).\nAnswer: -k*(4*k + 1)*(5*k + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 22 = 17*x. Let i be (-69)\/15 - (-4)\/(-10). What are the prime factors of 209\/x*(i + 2)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -47*u + 667. Calculate n(3).\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**2\/2 + 2. Let x(h) = -3*h**2 - 391 - 10*h + 407 - 6*h. Let q be x(-6). Calculate a(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 15.11 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7568, -15134, -22700, -30266?\n\"Answer: -7566*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -3092430.\nAnswer: 1\/3092430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -33. Let b = p - 18.9. What is the nearest to b in 0, -2\/9, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31\/12 + -5\/4. Which is the biggest value? (a) -1\/3 (b) -2\/7 (c) l (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.99 and -5.\nAnswer: -4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = 2*r - 26. Suppose 5*q - r*y - 90 = 0, y = 5*q + 2*y - 75. Calculate the remainder when 29 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f + f - 4*f + 6*f**2 + 2 + 2*f. Let x be i(-4). What is the highest common divisor of x and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2 + 23 = 0. Let s(u) = -u**3 - 5. Let o(h) be the second derivative of h**2 + 13*h. What is x*o(f) - 2*s(f)?\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -35*d**2 + 48*d**2 + 37 - 4*d**3 - 5*d + 5*d**3 + 30*d. Let m be l(-11). Suppose -14\/3*c**2 - 46\/3*c - m = 0. What is c?\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*g**4 + 43950*g**3 - 820220*g**2 - 6190200*g + 1834560 = 0. What is g?\nAnswer: -1274, -6, 2\/7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**6\/30 - 7*j**5\/20 - 145*j**4\/12 + 7*j**3\/6 + 72*j**2 - 11751*j. Find l such that b(l) = 0.\nAnswer: -9, -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-8)\/4 + 3. Suppose 0 = -4*r + 6 + 2. Let k be q + 4\/4 + r. Solve -3*h - 12 = -k*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -74*l**3 - 6*l**2 - 37*l - 111. Let u be n(-3). Calculate the highest common divisor of u and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.85 + 39.85. Does 2\/9 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135\/1214479 + -21534002479\/677679282. Let r = y - -756\/31. What is the common denominator of r and (-206*(-2)\/(-8))\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - v. Let k = 47 - 45. Let o be d(k). What is the second derivative of -32*m**2 + 24*m + 10*m**5 + 7*m**5 + 32*m**o wrt m?\nAnswer: 340*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 - 2*i**2 - i**2 + (-10*i - 11*i - 8*i)*(0*i - 2*i + i).\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 385432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1765 - 1751. Let p be (-1 + -91)*(6\/(-4) + -2). Calculate the highest common divisor of i and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 2*i**3 + i**4 + 17 + 2*i**2 - 10 + 4*i - 2 - 3*i as h*i**4 + c + b*i + w*i**2 + k*i**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 627*o + 10. Let j(m) = 941*m + 14. Determine 5*j(p) - 7*n(p).\nAnswer: 316*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**1*t*t**(-4)\/t*t*t*(t**(-2))**35 assuming t is positive.\nAnswer: t**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 20*u - 22*u - 873, -5*n + 4350 = -5*u. Is 49 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43092 and 5130.\nAnswer: 215460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4092 divided by -66?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9312380 divided by -211645\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 22. Let r = u + 18. Is r\/4 + 8330\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/107 - -309\/428. Which is the fifth smallest value? (a) 1\/4 (b) 0.4 (c) -1\/8 (d) j (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 401*a + 37339. Give f(-254).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14271*b**2*y**3 - 57*b*y**3 + 144*b - y**3 wrt b?\nAnswer: 28542*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50.2 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(325) - -1*sqrt(325)) + 5 + (sqrt(325) - (sqrt(325) + 2*sqrt(325) + -5))**2).\nAnswer: -7980 + 540*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84991757*q**3 + 3 - 3 + 84991768*q**3.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4600585 by 6.\nAnswer: 4600585\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-28)\/3))\/((108\/176)\/(-9)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*f = 2228, 0*f - 3*f = -5*i + 3726. Is 62 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/70*(-5)\/(-2) - 1\/7. Sort -16, -4, -1, b, 1.\nAnswer: -16, -4, -1, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158 - -194. What is the greatest common factor of 24 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l + 10*l**2 - 9*l**2 - 2*l as y*l**2 + j*l + h and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -3\/4862 (c) 5\/2 (d) -0.5 (e) 5\/4 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448469459.\nAnswer: 2113, 212243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 12. Let z = a + 3.991. Round z to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r + 46. What is h(12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -508514\/7 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**4\/4 + 2*y**3\/3 + 26*y + 25. Let i be k(0). What is the greatest common divisor of i and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c**3 - 8*c**2 + c + 7. Let y(r) = -17*r**3 - 23*r**2 + 4*r + 20. Let m(f) = -8*n(f) + 3*y(f). Suppose m(q) = 0. Calculate q.\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14041 divided by 21096.\nAnswer: -14041\/21096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -439, -878, -1317?\nAnswer: -1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -945122 + 10?\nAnswer: -945112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 70011.\nAnswer: 280044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32369, -59483, -86597, -113711?\nAnswer: -140825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -15 - 2*p**2 + 15. Let x(s) be the second derivative of -s**3\/6 - s**2 + s. Let y(z) = 6. Let a(u) = 6*x(u) + 2*y(u). Calculate a(l(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i**3 + 2*i**2 - i - 5. Let p be s(2). Let l(o) = -20*o + p*o - 13*o + 91*o. Let g(q) = q**2. Calculate l(g(w)).\nAnswer: 107*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 99*l**2 + 164*l + 23783. Give z(-98).\nAnswer: -1893","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (77*(-3)\/(-72))\/((-4)\/6) and 24508\/(-2880) + 8 + 14\/63.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 33*f**2 + 1. Let j be g(-1). Suppose 3*o + 5*p = -8, -5*o + o - j = -5*p. What are the prime factors of 2\/(-3)*o + 2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 8*c - 7. Let a = -34 - -24. Let i = -18 - a. Calculate v(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1626, 51\/20, 3, 2\/3?\nAnswer: -0.1626","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from leeeleleole. What is prob of picking 1 l, 1 o, and 1 e?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 1074996*z + 8600160.\nAnswer: -3*(z - 8)*(z + 358340)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 90\/(-24)*352\/(-3). Let w be t*(12 + -4 - -10742). Round w to the nearest one hundred thousand.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + ((-2)\/7)\/(11 - 13830\/1260).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/4 and -93\/2206?\nAnswer: 4412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 22*k**2 + 23*k + 60. Is j(-25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 2. Let i be (-4)\/h*(-2 + 12). Suppose i*z - 107 = -15. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9321 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 594519108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5300000 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i + 6. Suppose -i*y = -5*y + 111. Suppose -21 = 5*u - 3*j - 122, u = -5*j + y. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -52. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27776 and 3583972.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 226.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(2\/15)*(x**0)**(-6\/17)*(x**0*x**(-8))**(-3\/2) assuming x is positive.\nAnswer: x**(182\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbiiibbibbbii.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + 1. Suppose 0 = -y*a + 6*a + 20. Solve a*q = 2 - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290876860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-4772.\nAnswer: 4772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3150*j - 6187*j + 3046*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 25269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b - 6?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fana when four letters picked without replacement from aaaaffaaafffanffaaf.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 27. What is i(17)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 = -q. Suppose -r = q*h + 51, 10 = -5*h + 5*r - 35. Let u be (4\/h)\/((-2)\/20). Solve -v - u*v + 10 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/80952256 and 23\/500432128?\nAnswer: 5504753408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 5:49 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -13*i**6\/120 - i**4\/24 + i**3\/6 + 289*i**2. What is x(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - n + 2*n)*(-15 - 14 + 27)*(-4*n**3 + n**3 + n**3).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4 + 5*o**2 + 0*o**2 + 8 - 6*o**2 + 3*o - 16*o**3. Let p be s(-1). Solve 13*a = 9*a - p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 53186\/18 + (-76)\/(-18) + -4. Suppose -2*r = 13*r - x. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, x: 2, h: 2, j: 3}. Give prob of picking 2 v and 2 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**3 + 93*r**2 - 95*r + 21. Let a be c(-32). Let m(u) = 21*u + 234. Determine m(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3545116 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 0*q**3 - 1\/350*q**7 + 1\/100*q**5 - q**2 + 0*q**4 + 0*q + 0 - 1\/560*q**8 + 1\/200*q**6. Factor m(p).\nAnswer: -3*p**2*(p - 1)*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164700 divided by -540?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1118 + -644. What are the prime factors of t?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 77*g + 586. Let b be d(-7). Calculate the greatest common factor of b and 1269.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -13*s + 2, 2*s = -58*j + 61*j - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00103428 to five decimal places.\nAnswer: -0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/5 and 34\/527915.\nAnswer: 527915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2 - 1214200*b = 0 for b.\nAnswer: 0, 303550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -70. Let c be (-2)\/9 + (-47)\/t. Solve c*h + 3 = 4*m, 3*m - 3*h + 2*h + 6 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-891)\/33)\/(-108)*(-12)\/(-261)*2.\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42)\/(-5)*(-195)\/(-6). Let q = f - 195. Suppose 0*b = -2*i - 4*b + 140, 2*b + q = i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 6. Let b be w(-3). Let o be 2 - -1*6\/b. Suppose o = -2*f + f + 2. Solve f*t = -r - 1 + 7, t + 7 = 2*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*(sqrt(76) + sqrt(76) + (sqrt(76) - sqrt(76)*-2)) + sqrt(76))\/((sqrt(100) + sqrt(4))*-5).\nAnswer: -sqrt(19)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12103 and 847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -97 + v**3 + 61 + 55 - 2*v**2 + 3*v**2 + 4*v + 5*v**2. Let q be s(-6). What is the fourth smallest value in -0.2, 2, -7, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25 in -6, 0.35, -2.7?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/(-30))\/(2\/20). What is the lowest common multiple of ((-12)\/(-9))\/(a\/18) and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 10) in base 15?\nAnswer: -d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 79*q - 80*q + 2*j, -18*j + 66 = -3*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 5 = -3*h + 9, 0 = -3*m + 5*h - 23 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + x**4 - 2*x + 40*x**2 + 0*x**4 + 4 - 34*x**2 to q + a*x**4 + p*x**3 + d*x**2 + w*x and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 2*p + 4, -5*p = 2*f - 36 + 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 264545\/(-120) - 3 - 6\/(-2). Let g = q - -2205. Find the common denominator of (36\/(-27))\/(-2) + 92\/30 and g.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3 = -13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29590809.\nAnswer: 3, 19, 89, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 261 - 671. Let r = w + 710. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 734*n - 35417. Calculate j(48).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48956 + 48956 - 239*u + (2*u - 2*u - u)*(-2 - 1 + 5) + 4*u + 0*u + u.\nAnswer: -236*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6343976533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 17*u + 53. Give f(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*n + 146 = 753, 20 = -5*n. Let w = 16 + -70. Let c = w + z. What are the prime factors of c?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1428 = -124*b - 188 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -5*q + 14, 5*q - 332*b + 323*b - 44 + 16 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -0*c - 5*c - 58, -8329*y + 42 = -4*c - 8326*y for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -26. Let n = x + 10. Suppose -4 + 9 = -a, -n*a + 110 = 5*v. What is the remainder when v is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14)*(-4200)\/(-1350).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 24 = 4. Suppose 0 = d - 0*d - 6. Let j(c) = 6*c**3 + 3*c**2 - 8*c. Let m(y) = -5*y**3 - 2*y**2 + 7*y. Let p(u) = d*j(u) + 7*m(u). Calculate p(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(((f**5*f*f)\/f*f)\/f))\/(f\/((f*f*f\/f**(2\/7))\/f))*(f**(-2\/5)\/f*f)**(-2\/13) assuming f is positive.\nAnswer: f**(-1467\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 8*j - 5. Let a be i(7). Let l be ((-63)\/(-6))\/(-3)*a. Let t(p) = 6*p - 86. Let x be t(15). Sort x, -2, l.\nAnswer: l, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10052*x - 10053*x + 103 = 2*l, -5*x - 2*l + 65 = -l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x - x - 7 - 2*x. What is the units digit of a(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -46652, -1 in descending order.\nAnswer: 4, -1, -5, -46652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 4*n**2 + 3*n. Let a = 13 + -9. Let s = 0 + a. Suppose -3*z + 2*z + s = 0. Calculate k(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -678.0334 rounded to the nearest ten?\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*l = -21065, -19*j + 20*j - 21073 = -3*l. What are the prime factors of j?\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 - (3 + (-65 + -15 + 7 - -2))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.11 (b) 2\/53 (c) 6\/1675\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2587\/4 (b) 2 (c) 5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = 27*l + 88 - 78 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)*x**(-2\/29))\/((x*x\/(x\/(x**(-23)\/x)))\/x**(4\/27)))**(-1) assuming x is positive.\nAnswer: x**(-17288\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245699 is divided by 5118?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -2 + 2 + 78. Let k = s - 32. Suppose l = -l - 3*o + 18, -l - 4*o = -4. What is the greatest common factor of k and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3489?\nAnswer: 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358941 is divided by 42.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - 0)*(-5)\/(-20)*-206.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86031?\nAnswer: 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**2\/9 - 122*w\/9 - 848\/9 = 0.\nAnswer: -53, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -11.1. Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k = 15*k - 48. Let v(y) = -13*y**2 + 6*y - 6. Let u(t) = -24*t**2 + 11*t - 11. Let g(l) = k*u(l) + 11*v(l). Let d(q) = -26*q**2. What is g(d(s))?\nAnswer: 676*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96779 is divided by 530?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 644*m**3 + 5*m**2 + 12932*m.\nAnswer: 3864*m + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/17, 0.41, 2\/7, 2\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-5 - -10 - (2 - -7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n + 98439 = 2871. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 2, 0, 42 in descending order.\nAnswer: 42, 3, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**4 + 8603*q**3 - 1912*q**2 + 2*q + 6. Let w(f) = -f**4 + f**3 + f + 3. Let a(c) = n(c) - 2*w(c). Find the third derivative of a(z) wrt z.\nAnswer: 24*z + 51606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -100.698.\nAnswer: 6.04188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -6*g - 25*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116120143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, v: 4, r: 4, n: 1, y: 2, f: 1}. What is prob of picking 1 n and 1 v?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 129730737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:34 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 11. Solve w = 5 - b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4674455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77348 (base 13) to base 7.\nAnswer: 1556240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 32 = 4*q, -5*i + q + 92 = -2*q. Let c be (-2)\/i + 113\/776. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**7\/42 + n**6\/24 + 23*n**5\/12 + 65*n**4\/8 + 15*n**3 - 1621*n**2. Factor h(g).\nAnswer: -5*(g - 6)*(g + 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 0*o - 2 - 3*o)*(-422 + 570 - 3012) in the form g*o + q and give q.\nAnswer: 5728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 0)*(-1 + -4). Suppose m = -y - 4*y + 40, 0 = z*m + 5*y - 180. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u**2 - 10*u - 120. What is the hundreds digit of w(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 742304\nAnswer: 1484608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a**2 + 11*a + 80. What are the prime factors of i(-11)?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(153))**2 + 5 + sqrt(17) + sqrt(17)*-3 + 6*(sqrt(119)\/sqrt(28) + -4).\nAnswer: 13*sqrt(17) + 138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 7*y + 10. Let k(i) = -2*i + 13. Let s be k(5). Let f be h(s). Is (f\/(-2))\/((-10)\/5860) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/230844929?\nAnswer: -2\/230844929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9228 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34958, 69914, 104868, 139820, 174770?\nAnswer: 209718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + -3*(sqrt(1331) + (0 + sqrt(1331) - sqrt(1331))))**2 + 0 + (sqrt(1331) - (sqrt(1331)*1 + -2))**2 + 5 + 0.\nAnswer: 11988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91773 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2369.362798 rounded to one decimal place?\nAnswer: -2369.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 4552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 376 + -376.588. What is n rounded to 2 decimal places?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 - -130. Let t(g) be the second derivative of 3\/2*g**2 - 9\/10*g**6 + 0 + 3*g**y - 9\/10*g**5 + 2*g**4 - g. Find o such that t(o) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/609 and -38\/189689?\nAnswer: 3983469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-112)\/10)\/((-2)\/(-20)). Let h be (104\/132)\/((-49)\/6965). Let t = s - h. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34496*b**3 + 33689*b**3 - 40 + 40.\nAnswer: -807*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y - 3*y)*(-4*y + 4*y + y) - 36*y + 24*y**2 + 36*y.\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*t*w**4 - 3*t*w**2 + 2*t*w + 2*w**3 + 24*w wrt w.\nAnswer: 132*t*w**2 - 6*t + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 458 + -816. Let k be n\/(-5) + (4\/(-5))\/(-2). Let s(r) = r**2 - 4*r - 3. Let v be s(-2). What is the greatest common factor of k and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11, -2, 3, -4.\nAnswer: -11, -4, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -391661076?\nAnswer: -5\/391661076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*f - 288 = 2347 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.139 and 0.4.\nAnswer: -0.4556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 7*k + 9 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 14334 + 13798 = 0. Calculate the remainder when 209 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -1\/40*n**6 + 9*n**2 + 0*n + 0*n**4 + 0*n**3 - 7\/20*n**5 + 0. Find the third derivative of j(m) wrt m.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {l: 10, q: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/13 + 1746\/26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l + 2. Let i be o(-2). Let z be (-8)\/(-4)*i\/4. Differentiate z - f**3 + 0 + 3*f**3 - 4 wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + -117 + 249 - 195?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 1:44 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*j = -4*j - 7, 8 = 5*i - j. Let n be -1 + 308\/8 + 1. Let t = -39 + n. What is the biggest value in t, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 12) to base 16.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 498*i. Let a(r) = -666*r. Calculate u(a(q)).\nAnswer: 887112*q**2 + 331668*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 0.673.\nAnswer: -0.03365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7352 and 64?\nAnswer: 58816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -567.7 - -88.7. Let s = 479.15 + f. Round s to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1857927 is divided by 231?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 11*c**2 + 42*c - 34. What is the tens digit of z(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 11 - 1. Find the second derivative of v*h**4 + 2*h - 4*h - 9*h**4 - 4*h wrt h.\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 0 - 6*h**2 + 5 + 3 - 3*h + 0 + h**3 - 5. Calculate c(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 8*x = 0. Sort 5, 6, 1, x in descending order.\nAnswer: 6, 5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-64)\/20*55\/(-44). Let f(g) = 8*g. Let j(n) = n. Calculate b*j(z) - 2*f(z).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/8 and 93\/5768.\nAnswer: 5768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -7 (b) -0.5 (c) -4\/3 (d) 4\/21 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21846 and 594.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3\/5 (b) -2\/23 (c) 2\/5 (d) 319 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -173 - -175. Which is the closest to x? (a) 0.5 (b) 5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 1. Let u(f) = -48*f**2 + 46*f + 6. Let d(j) = 6*q(j) + u(j). Find the second derivative of d(v) wrt v.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35448*v*z**2 + 162388*v wrt z?\nAnswer: -70896*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 2*r + 2. Let a = 31 - 31. Let p be g(a). Solve -y + 12 = p*m, -4*y + 28 = -m + 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k**4 - 3 + 1 - 386*k**3 + 8*k + 378*k**3 - 6*k**2 = 0. What is k?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 6*h + 4*h)*(2*h**4 - 2*h**4 - 2*h**4) + 6*h**5 + 7*h**5 + h**5.\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from asunuwnwnnnnpn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -9304764?\nAnswer: -9304764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 3 - 2)*(-272*w + 0 + 0 + 121*w - 379*w) to s*w + y and give s.\nAnswer: -1060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2\/15, 0.01, -10\/17 in descending order.\nAnswer: 0.4, 2\/15, 0.01, -10\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 11*g - 2. Let m be f(10). Suppose -b = 3*b - m. Factor -2*t**b + t - t - t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2 + 152*b + 209. What are the prime factors of z(-66)?\nAnswer: 11, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5721? (a) 2\/3 (b) 18 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/4*27160\/15. Suppose 0 = 20*v + q - 61802. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -29*k**6\/120 - 7*k**4\/6 + 30*k**2. Find the second derivative of x(l) wrt l.\nAnswer: -174*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*c**2 + 13*c - 59*c + 40*c**2 + 6*c**2 - 2*c**2 + c**2 + (-1 + 5 - 5)*(-c**2 + 4*c**2 - 5*c**2) + c**2 + 2*c**2 + 1 + 0.\nAnswer: 9*c**2 - 46*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - 349*c + 5. Give y(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1700 and 803100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 292054266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**4 - y**4 - 3*y**4)*(-y - y + 3*y) - 1 - y**5 + 1 - 6*y**5 + 11*y - 11*y + (-y**3 + 0 + 0)*(y**2 + 4*y**2 - 3*y**2).\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2))**(-2\/71)\/(m**(-1\/5))**(4\/21) assuming m is positive.\nAnswer: m**(389\/7455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/84 and 43\/55076.\nAnswer: 165228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 j when three letters picked without replacement from {y: 1, j: 1, n: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + w - 11 = 0, -54*w = 3*a - 57*w + 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 5 (c) -13\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*k = 6*a - 12, -4*a - 4*k = -12. Solve -a*s - 3*s = 5*x - 5, 0 = 3*s - 3*x + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6632403 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48.5 + 48.7. Which is the closest to 2\/3? (a) -2\/11 (b) 0.8 (c) -0.2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 159 - 158.5. Which is the nearest to 2\/7? (a) n (b) 5 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -7 (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.8 - 3.843. What is c rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -31. Suppose -2*j + 3*o = 1, 3*j + h = 5*o - 0*o. Solve 0 = -3*c + j*g - 2*g, 0 = 2*g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s = 4. Is -4 + 73 + s + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 436.5714 millilitres?\nAnswer: 0.4365714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 193b - -5?\nAnswer: 1941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = -4*y - 112. Suppose 5*i + 4*b - 179 = 0, -4*i - b = -28 - 124. Let a = i + y. Calculate the remainder when 95 is divided by a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10411202 - -10351?\nAnswer: -10400411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19.1 (b) -1\/4 (c) 16355\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -5*f**8\/84 + f**7\/210 + f**4\/12 + 11*f**3\/2 + 12*f**2. What is the second derivative of y(s) wrt s?\nAnswer: -400*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*z - 5*z = 59*z - 437462. What are the prime factors of z?\nAnswer: 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 - (-90 - -9) - (-9 + 85)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 2482.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - 6 - (-1 - 74). Let w = -64 + z. Suppose 3*g - 9 = 0, 4*y - 2*g = g - w. Solve -5*d + 15 = -y*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**3 + 96*p**2 + 336*p + 320 = 0. What is p?\nAnswer: -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**4 + q - 1. Suppose -2 = -3*g - z, 3*g - 3*z - 8 = 2*z. Let y(k) = 4*k**4 - 2*k**2 - 3*k + 4. Let h(m) = g*y(m) + 3*n(m). Factor h(a).\nAnswer: (a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1018\/5 - 203. What is the third smallest value in -3, k, -0.06?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12555, 12530, 12501, 12468, 12431?\n\"Answer: -2*m**2 - 19*m + 12576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1840 and 110?\nAnswer: 20240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)\/(n\/n**(-2)))\/((n**(2\/33)\/n*n)\/(n\/((n\/n**(3\/4))\/n))) assuming n is positive.\nAnswer: n**(-701\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1463, -2751, -4029, -5291, -6531?\nAnswer: -7743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -292, -625, -1182, -1963, -2968, -4197?\n\"Answer: -112*c**2 + 3*c - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2741164 divided by 4.\nAnswer: 685291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:17 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 6 + -5 - (-8 + -1 - -41)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2845*k - 172570 - 188829 = -71209 for k.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n*o**6 + 32*n*o**5 - 297*n*o**2 + 2*n*o wrt o.\nAnswer: -120*n*o**3 + 1920*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 15*w**2 - 192. Let h be g(-16). Let u = h - -96. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 3*k - 3*k)*(0 + 0 + 2*k) - 2*k + 2*k - 2*k**2.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4*12\/200)\/3\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -68 - -866?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381191 = -10050*r + 250624 + 282735 for r.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 4*y + 5. Let r = -61 + 57. Give b(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.500071 + 13.5. What is i rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 10*r**2 - r + 8. Let i be b(5). Suppose 5*x + i*k - 70 = 0, 4*x + 2*k - 53 = -k. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(16)*2)\/sqrt(4))\/(3*sqrt(8)))**2 + 5*(((1*sqrt(242) - sqrt(242)) + sqrt(242) + sqrt(242))**2 - sqrt(242)) + sqrt(242) + -5)*-3.\nAnswer: -43517\/3 + 132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - 3.5. Let n = i - 4.1. Round n to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -1. Suppose 20*v + 39 = 119. Calculate the least common multiple of (-1 + 0)\/(k\/(-14)) and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.3 - -8. Let l = -1 - b. Let d = l - 0.2. What is the smallest value in d, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**6\/30 + 11*u**5\/20 - 5*u**4\/12 - 47*u**3\/6 - 15*u**2 - 139*u + 1. Solve l(b) = 0 for b.\nAnswer: -1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12468, -12114, -11142, -9240, -6096, -1398, 5166?\nAnswer: 13908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 44*d + 150. Give k(47).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 588204031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/17, -5, 65 in increasing order.\nAnswer: -5, -12\/17, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**19)**(-31)\/(g\/g**(-1\/19)*g*g**30))**(-2\/93) assuming g is positive.\nAnswer: g**(23600\/1767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24821047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3231.97170217 - 3231.999. Let o = c + 0.0273. What is o rounded to seven decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4391578 in 6, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17737691 to the nearest integer?\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + s - 1 + 4*s)*(10 - 3 - 10)*(-15 - 18 + 15) in the form p*s + x and give p.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 961 and 131378?\nAnswer: 4072718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87 and 9.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -1.01, 5, 2, 0.2 in decreasing order.\nAnswer: 5, 2, 0.2, -0.7, -1.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((3\/((-27)\/(-6)))\/(4\/(-108))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -270 - -10?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 9 + 0 = 0. What is the units digit of ((-22)\/4)\/(d\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = v - 2, -2*v + 5*r + 3 + 10 = 0. Suppose 0*o + 2*o - 10 = 0. Calculate the lowest common multiple of 38\/28*10 + v\/(-7) and o.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/1085575?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97819506?\nAnswer: 2, 3, 23, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -916*w + 7562 = -6178 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j**2 - 3 + 3 + (5 + 3*j - 5)*(j + j - 3*j).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. Let h be 11 - (51\/(-85))\/(1\/(-5)). Suppose 0 = 18*n - 20*n + h. What is the nearest to b in -0.5, n, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(-1*sqrt(36)) - sqrt(170)\/(sqrt(40)\/sqrt(4)*-6).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/2 (b) 14 (c) -5 (d) -0.4 (e) 0.2 (f) 5879\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 16) to base 3.\nAnswer: -10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078677.\nAnswer: 3, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**3 + 2*s**2 + 7*s - 6. Let x(h) = 9*h**3 + 4*h**2 + 15*h - 13. Determine 13*t(l) - 6*x(l).\nAnswer: -2*l**3 + 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326890 at least 1326801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 1990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83730, -334914, -753554, -1339650?\nAnswer: -2093202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10*m**3 + m**2 - 6*m + 3. Let f be t(2). Let v(n) = 69 + f - 221 + 18*n + 75. Let z(s) = -2*s. Calculate v(z(c)).\nAnswer: -36*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -363 or -364?\nAnswer: -364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.68 - 0.28. Let k = g - 0. Let q = k - 0.39849. Round q to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1582 in -5.3, 1\/4, -4, 4, -5?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, p: 3, f: 2}. What is prob of picking 2 p?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuddudad. What is prob of picking 1 a, 1 d, and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 1\/6, -5, 0.4, 63?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e39d (base 15) to base 16.\nAnswer: -bbc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234553 = 3*l + 9*n - 234607, n = 2 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 411*x**2. Let p(y) = -2*y**2. What is m(p(i))?\nAnswer: 1644*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 16 = -0. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -10*t + 6*t - 8*t**2 + 3*t + 7*t**2. Let l(c) = 5*c**2 + 3*c. Calculate -2*l(o) - 6*r(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21472 divided by 32\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -107*v - 7501. Calculate r(-70).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, v: 1, u: 2, q: 2}. What is prob of sequence qqua?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/17 - -69\/85. Suppose 21 = -w - 3*w - 5*c, -2*w - 9 = 3*c. Let v be (-8)\/(-84)*w\/6. Is v greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1590 and 195.\nAnswer: 20670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121569664 divided by -2417176?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (4 + (-438)\/4)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1*g*g*g**(-2\/13))\/(g*g*(g\/(g\/(g*g*g**(2\/3)*g)))\/g*g**(2\/9)*g))\/((g\/((g*g**(-1))\/g*g*g))**(37\/3)*(g**(-2\/3))**(-42)) assuming g is positive.\nAnswer: g**(-3632\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) 4\/3 (c) -1\/7 (d) -10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 80 = 5*f. Suppose 8*w - 10*w - 50 = 2*u, -3*u + 2*w - 50 = 0. Let g = f + u. Which is the biggest value? (a) 3\/4 (b) g (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - x**2 - 2. Let r be j(2). Let 3\/2*u**r - 3\/2 + 15\/4*u**3 - 15\/4*u = 0. What is u?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-12)*(-6)\/(-2). Suppose 4*n = -4*r + 36, -l = -4*r + 2*r + 5*n. Let y = r - 3. Solve 3*t - 4 = 2*g + 2*t, -y*t = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123003*h + 11 = -122987*h - 3*l, 5*h = 2*l - 4. Factor 87\/8*i + 9\/8*i**3 + 141\/8*i**h - 45\/8.\nAnswer: 3*(i + 1)*(i + 15)*(3*i - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 52. Let v(t) = 27*t - 3. Let f be v(k). Let q(y) = y**3 - 4*y**2 - 8*y + 2. Let w be q(6). Calculate the greatest common factor of f and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p**2 - 9*p - 5. Let a(m) be the first derivative of -11\/3*m**3 - 7*m**2 - 8*m - 1. Determine -5*a(l) + 8*k(l).\nAnswer: -l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6\/7, 1125, -84, 2\/7, 2 in ascending order.\nAnswer: -84, -6\/7, 2\/7, 2, 4, 1125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y + 6. Let l be (-12)\/(-3) + y\/3. Suppose -57 = -l*o + 8. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1465685 - 1465685 - 882*q to the form y*q + g and give y.\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:38 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-936)\/69 + 90 + 12 + -88.\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/78 + -37\/156. Put -0.1, y, 0.5, -0.3 in increasing order.\nAnswer: -0.3, y, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 16*t + 24. Let j(r) = -7*r**2 + 56*r + 14. Let u be j(8). Determine b(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -21.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 462486.36 days?\nAnswer: 66069.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (540\/1170)\/(6\/52).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((400\/20)\/20)\/((-1)\/(-21))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m. Let g(u) = 4598*u**2. What is w(g(q))?\nAnswer: 9196*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 772, 1462, 2152, 2842, 3532, 4222?\nAnswer: 4912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2, 5*r + 2*b + 2*b - 48 = 0. Suppose 0 = -20*x + r*x + 6*x. Solve 0 = 3*q - x*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(30\/(-14) + 2). List the prime factors of 2\/7 + (-103)\/t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904365921 is divided by 4382?\nAnswer: 4379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/45*198\/(-44). Let g(z) be the first derivative of 1\/3*z**3 - 3 + j*z**2 - 8*z. Determine g(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (48\/(-4))\/3 + 9. Suppose -r*z - s + 1096 = 0, 3*z - 1683 = -2*s - 586. What are the prime factors of z?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/30*(-15)\/(-6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3090625 and 312825?\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -433285*d**4 - 633480*d**2 wrt d.\nAnswer: -10398840*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = -7. Suppose 0 = -0*i - i + j. What is the lowest common multiple of i and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*(-8 - 1090\/(-135)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 262 - -468. Round m to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212398, -424201, -636006, -847813, -1059622, -1271433?\nAnswer: -1483246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4264 - 2621. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*o**3 - 2*o**3 + 2*o**3 - 9 with respect to o.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 6*y + 3. Let n be i(6). Suppose -n*m - 1 + 151 = 0. Let w = m + -24. What is the remainder when w is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyiyyaaaajjajjii. Give prob of sequence aj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-8))**(-6\/13) assuming g is positive.\nAnswer: g**(42\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -305 - -304.999543. What is m rounded to 5 decimal places?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - -257. Let j = t - 287.9117. What is j rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 9*j**2 + 7*j - 4. Suppose -4*k - 40 = 3*s + 7, 0 = 5*k - 5*s + 15. Let c be l(k). Solve 16 = -i + c*x - 3, 0 = 3*i - x + 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 2\/3 (c) 2\/5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x. Let k be -2 - -3 - (-1 - 8). Let i = k - x. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2910 and 3810?\nAnswer: 369570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 4.9 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q + 1. What is the remainder when 30 is divided by d(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 1 (c) 0.3 (d) 2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -41*q**2 + 812*q + 187. What is j(20)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 162*s - 3568 + 1138. Solve 47 = s*g + 62 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*x = -7, 2*b = -5*x + 8 + 8. Calculate the lowest common multiple of b and 5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 6*n - 27. Suppose -t + 3818 = -n*f + t, -4*t = -f - 1266. Let j = f + 1975. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + (sqrt(17) + 1 + sqrt(17))*3 + -4 + 2 + sqrt(68)\/sqrt(4)*-2 + sqrt(17) + -3)**2.\nAnswer: -60*sqrt(17) + 458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:47 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13.94643 times -4\nAnswer: 55.78572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -441581407*s**2 - 559670959.\nAnswer: -883162814*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 5. Let v be g(5). Let q(l) = -3*l - 7. Let y be q(v). Is 8 a factor of (60\/(-25) + y)\/(1\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11073 - -3?\nAnswer: -11070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 8 (b) 115\/514 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -117497 (base 15) to base 14\nAnswer: -17a271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 80. Let v = u - 32. Let t = v + 0.00000312. What is t rounded to 7 decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*h = -8, 3*m = -4*h + 5 + 11. Suppose m = -6*r + 4*r + 46. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2551 take away 0.4?\nAnswer: 2550.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -224*j**2 + 51*j - 33. Calculate o(-1).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -1. Suppose -j + 1 = 0, -n + j = -0*j + 1. Let x = 14 + -10. What is the biggest value in x, n, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d - 173. What is q(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from twezd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*w, -3*h + 3*w - 6*w = -726. Suppose -3*z - h = f, -4*z + 410 = -9*z - f. Let o = 3 - z. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 34682734 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -21 - (1112 - 1081)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 4*l + 60, -30*l = 5*t + 506 - 56 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 1155826.8.\nAnswer: 231165.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/9, -5, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 2, 5*c - 25 - 1 = 4*d for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13334151 and 39?\nAnswer: 173343963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -17*(-2)\/(-3 + 1) - -2. Find the common denominator of 39\/r*15\/(-24) and 320\/66 + (-4)\/6.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6270*r + 76400. Calculate f(-12).\nAnswer: 1160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*s**3 - 5*s**4 - 51*s**3 - 3 + 98*s**3 + (-s**2 - 2*s**4 + s**2)*(-4 + 2 + 0) + 15*s**4 + s**4 - 3*s**4.\nAnswer: 12*s**4 + s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -3, 9\/8 in decreasing order.\nAnswer: 2, 9\/8, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4341.\nAnswer: 3, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-17)*(-436152)\/17104?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -2\/21 (c) -13 (d) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3743 + -10c31?\nAnswer: -14674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22680 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/15 - 29486636*d - 1630240692368430.\nAnswer: -2*(d + 110574885)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b + 1. Let c be l(-1). Let m = -10 + c. Sort m, 3, -2 in ascending order.\nAnswer: m, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/26377 and -69\/52754.\nAnswer: 52754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4186 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8193355 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2452.57 - -2453. Put c, -0.4, -0.1, 1\/7 in descending order.\nAnswer: c, 1\/7, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + 525. Let i(y) = -y + 196. Let o(h) = -8*i(h) + 3*v(h). Suppose -2 = 3*m - 5*b, 5*m + 28 = b + 10. Let a = m + -3. Determine o(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -233*o**5\/60 + 62*o**3\/3 - 97*o**2. What is the derivative of n(j) wrt j?\nAnswer: -466*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400802 is divided by 97.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/4, 0.1, 1?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 571648310 to the nearest integer?\nAnswer: 23909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1204, 1209, 1214, 1219, 1224?\n\"Answer: 5*n + 1199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*g - l - 1, g - 6 = 3*l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 4)*(2 - 19 - 18)*(4*h + 115 - 59 - 58).\nAnswer: -420*h + 210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4\/5 - 11103938*b**3\/5 - 4109973116004*b**2 - 2535562965234444920*b - 200283825006223485200 = 0. What is b?\nAnswer: -1850630, -79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.2 (b) 3\/5 (c) -0.1 (d) 7 (e) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*q - 134*q + 10 = 0. Is (-73159 + -6)*q\/(-25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -23*v**2 + 8*v - 2. Let x(z) = -93*z**2 + 30*z - 9. What is 9*t(u) - 2*x(u)?\nAnswer: -21*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2351445*-5\nAnswer: -11757225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a century in months?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*l**3 - 230*l**2 - 15*l = 0.\nAnswer: -3, -1\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, x: 2, h: 3, d: 1, f: 3}. What is prob of sequence bfff?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/6 + 1\/18. Let m be (3 - 0\/(-6)) + (-38)\/12. What is the third biggest value in z, 6\/11, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -421, -716, -1053, -1432?\nAnswer: -1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -33. Let l(d) be the third derivative of 0 + 2*d**2 - 5\/24*d**4 + 1\/2*d**3 - 1\/60*d**o + 0*d. Calculate l(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 0.06836439.\nAnswer: 0.0027345756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - 405\/(-80) - 5589\/(-432). Let y(v) = v**2 + 1 + 5 - 3*v**2 + 8*v. Let b be y(s). What is b rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 1 + 3. Find the second derivative of -4*k + 87*k**2 + c*k**3 - 87*k**2 wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -36. Solve -f - 1 = -2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -369*n**6 + 1208*n**3 - 407*n**2 - 1208*n**3 wrt n.\nAnswer: -44280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30833.1, -4, 0.0385 in increasing order.\nAnswer: -30833.1, -4, 0.0385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*w + 2866 = 0, 2*v - 2894 = w + 3*w. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 2*w = 4*p - 37, -3*w = -3*p - 6. Let d(h) = 0*h**p + 2*h - 15*h - h**3 + 11 + 10*h**2. Is d(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1968347 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1420965, -1420962, -1420959, -1420956, -1420953, -1420950?\nAnswer: -1420947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*o - 7544 = 7144 for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 432 + 427 = -3*u + 794, -3*h + 6 = 0 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29213099 to 4 dps.\nAnswer: -0.2921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 0 (c) 12\/35 (d) -455 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000019537 rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.7973797 to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 11*h**2 - 11. What is w(10)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9722435717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 345, 557, 779, 1011?\nAnswer: 1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -99903 at least as big as -2897198\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-80)\/(-5))\/(-192))\/((-7)\/14)*-42\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**3 + 16*v**3 - 17*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*36\/(-6)*196\/(-56).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 24777.9 to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 10 = -3*f, 0*f - 4*f + 4*n = -20. Suppose -j + 3*j - 380 = f. Let h = j - 380. Round h to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*t = 4, 0 = t + 3*t. Solve -h + 3 = -o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56833492 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17032, 68197, 153472, 272857, 426352, 613957, 835672?\n\"Answer: 17055*v**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 1925*a**3 + 1092*a**3 - 37.\nAnswer: -833*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/6 + 3\/2. Let k be (-12)\/5*(-75)\/p. What is the greatest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 12593.246\nAnswer: 5037.2984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104886949.\nAnswer: 331, 316879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 127152.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 746734109 to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18246.252 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29192700 by 67890.\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 4:59 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.1, -106, 0.011?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1221 + 102 + 8*q**4 + 1036 + (2 + 0 - 1)*(4*q**4 - q**4 - 2*q**4) + 0*q + 0*q + q**4 + 3 - q**4 - 3.\nAnswer: 9*q**4 - 83","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 20*x + 19. Let f(g) = -60*g - 58. Let a(b) = -5*f(b) - 16*r(b). Let l(v) = -7*v - 5. Let h = -9549 - -9538. Give h*l(u) + 4*a(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13ce (base 15) to base 4.\nAnswer: 1002110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58104763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - sqrt(13)) + -1)*2.\nAnswer: -2 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14747 + 25960. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4388, -8333, -12274, -16211, -20144, -24073?\nAnswer: -27998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = r - 4*r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 11*d - 7. Let y(k) = -18*k + 15. Let s(a) = 10*v(a) + 6*y(a). Suppose 0*f + 10 = -f. Let p be s(f). Solve 0 = -p*q + 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 15 = -4*n, -4*g = n - 18 - 2. Suppose 4*k = -g*f + 12, k + 3 = -2*f + 2*k. Solve -4*b = -2*c, 5*b - c - 2*c = f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(1900))*5 + 3*2*sqrt(1900))**2 - (-1 + (-4 + 3*-1*sqrt(1900))**2))*-5.\nAnswer: -1064425 - 9800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(72) + 1*sqrt(72))*-5 - sqrt(72))\/(-2*(sqrt(64) + sqrt(64)*1)).\nAnswer: 2 + 33*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 327, 2315, 5639, 10299, 16295?\nAnswer: 23627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in -3, 1\/2, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103076929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 + (-5 - -82) + -48?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*(q\/(q\/q**(-3\/11)))\/q)\/(q*q\/(q*(q*(q\/(q*q\/q**(-15)))\/q)\/q))*(q*q**5)**17 assuming q is positive.\nAnswer: q**(932\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 38865980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -172 - -177. Let k = -16.86 - -17. Let p = -0.04 + k. Which is the closest to p? (a) 0.1 (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 8409*j - 17. Give d(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**8\/1680 - a**5\/60 + a**4\/24 - 2*a**2. Let x(v) be the second derivative of o(v). Differentiate x(u) wrt u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 10.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.2473 at least as big as 0.04091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.04738 hours in minutes?\nAnswer: 842.8428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5355360, 10710721, 16066082, 21421443, 26776804?\n\"Answer: 5355361*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63582600 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 1191.\nAnswer: 47640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 + 35*i + 3*i**3 - 34*i to v*i**3 + l*i**2 + u + q*i and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4\/7 (b) 5\/68 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -26*k**2 + k + 815. What is j(-1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26382?\nAnswer: 2, 3, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l - 1. Let g = 3 + -2. Let u be d(g). Suppose -b + 0*b + 24 = 2*x, 5*b - 60 = u*x. What is the smallest common multiple of 10 and b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1333105 + -1333162.19641. Let v = -4349.8 + 4407. Let c = k + v. Round c to 4 dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - s**3 + 0 + 4*s**4 + 1 - 4 in the form a*s**3 + g*s + m + k*s**2 + b*s**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8*(-5)\/10*-1. Suppose -1 = -t*x + 5*x. Let i(d) = -9*d**3 - d**2 + 1. Determine i(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1935, 3981, 6027, 8073, 10119?\n\"Answer: 2046*f - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -23.6. Let g = o - -2.1. Sort g, 1, -3 in decreasing order.\nAnswer: g, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 1:08 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2 + 23 = 0. Which is the nearest to 3? (a) 1\/2 (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 45689*m**2 - 45669*m**2 - 15 + m**4 + m**4 in the form j*m**4 + x*m**3 + f*m**2 + h + v*m and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*d**3 - 111*d**3 + 54*d**3.\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 0 + -18 + 38 + -27.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/3)\/(16\/(-192)). Suppose -232 = -c*s - 56. What is the remainder when 83 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100101111010 (base 2) in base 13?\nAnswer: 690b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - 0) + 298 + -304 + -1 + 2\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*z - 4. Let t(w) = w**2 - 2*w + 1. Let g be t(z). Solve b + 1\/2*b**2 + g = 0 for b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flllyjfylylljyfll. What is prob of sequence jfy?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 10 = -186*c + 190*c, -14 = -5*y - 4*c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (4 + (-2 - 8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.6, -18, 15?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + -3. What is the tens digit of q\/(-5)*20\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -53*q**5\/20 + 107*q**4\/16 - 55*q**3\/12 + q**2\/8 + 2650. Factor x(j).\nAnswer: -j*(j - 1)**2*(53*j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 604 + -5?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -159\/4. Which is the nearest to g? (a) -0.1 (b) 0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 2*q**2 - 3*q + 3. Let p be b(2). Let m be (-3)\/(p\/2) + 13. Let g = 27 - m. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/47 at most 2\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900) - sqrt(900)*-5)\/(sqrt(5) - (sqrt(20)*2)\/sqrt(4)).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 8830134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*k = -121, -s = s + 5*k - 99. Let u = -3 + s. Let a be 18\/(-27) - u\/(-6). Calculate the greatest common divisor of a and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.515 less than -58983?\nAnswer: -58981.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 120 + 110 = 0. Let x = 220 + -220.13. Which is the second smallest value? (a) -1 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 1, 4, 2\/35, 70?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 117190829 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 996870756 to the power of 1\/3, to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 337 or -38?\nAnswer: 337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**5\/8 - 325*o**4\/4 - 96573*o**3\/8 - 7921*o**2\/2 + 16059*o\/2 = 0.\nAnswer: -101, -1, 0, 2\/3, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 159\/(-318)*(-6)\/((-1)\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-65) + 41\/13. Suppose -2*q - w*q = -20. Suppose 5*v - 25 = 0, 0*k - 4*v = 5*k - 120. Calculate the lowest common multiple of k and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 174, 392, 696, 1086?\nAnswer: 1562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50992707 rounded to two decimal places?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 5:41 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) + (-21)\/(-60). Let b = -51 + 50.69. Let m = 0.29 - b. Put f, m, 2\/11 in descending order.\nAnswer: f, m, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 1. Let d(s) = 63*s - 49. Determine 147*a(o) - 3*d(o).\nAnswer: -42*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -902 + 890 + (-1 + 4 - (1 - (-150 + 3)))\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 836 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010646 divided by 13?\nAnswer: 77742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/13*r**3 + 8\/13*r + 0 + 6\/13*r**2 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14086 is divided by 3500?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24654 and 28590422?\nAnswer: 85771266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1 = 3. Suppose -v*o + 27 = -35. Suppose -2*c = q - 15, 0 = -2*q - 5*c + 2*c + o. Calculate the remainder when 31 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 12420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**5\/50 - b**4\/20 - 143*b**3\/30 + 36*b**2\/5 + 2592*b\/5 - 306. Find l such that p(l) = 0.\nAnswer: -8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/474851 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 8, -2 in increasing order.\nAnswer: -32, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 427*u**3 - 5*u**2 - 26*u + 97. Is t(3) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 1. Let l be q(-5). Suppose r - l = 8. Calculate the least common multiple of 10 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/323871 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.078 + 0.18893?\nAnswer: 0.26693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 121332311 (base 4) to base 3\nAnswer: 12101222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**3*l*p*s - 29*h**3*l*p - 2*h**3*s - h**3 - 9*h**2*p - h*l*s wrt l.\nAnswer: h**3*p*s - 29*h**3*p - h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -1\/4*g**4 - 5\/2*g**2 + g + 24 + 5\/3*g**3. Calculate b(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*k + 0*k = 18, d - 5*k = 29. Solve 2*n + 5 + 1 = 2*b, -n = -d*b + 18 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - 3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 8, -145, -14.\nAnswer: -145, -14, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -23. Let o = n - -33. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15707, -63026, -141925, -252404, -394463, -568102, -773321?\n\"Answer: -15790*h**2 + 51*h + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -786, 5, 20 in decreasing order.\nAnswer: 20, 8, 5, -786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 + 5*v**3 - 27*v**3 - 65.\nAnswer: -22*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 1, u: 2, i: 4}. What is prob of sequence ut?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h + 9. Let t be (1\/(-1))\/((-11)\/(-77)). Let o(d) = 6*d + 28. Determine t*p(g) + 2*o(g).\nAnswer: -2*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 10704?\nAnswer: 10710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6aa0 (base 13) to base 9.\nAnswer: 22518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 3*v + 8, -5*v + 4*r + 53 = -47 + 118 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycxxx. What is prob of sequence cx?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60807 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u**(2\/3)\/u)\/u)\/u**(-2\/3))**(3\/10)*(u\/(u\/((u**(-3)\/u)\/u))*u**(-1\/5))\/(u**(2\/5))**30 assuming u is positive.\nAnswer: u**(-171\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38\/3 in -2\/27, -0.01, -3\/7, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -33751 bigger than -0.0054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 119. Let q(d) = -3*d + 229. Let h(m) = -4*q(m) - 7*r(m). Let n be h(16). Let u be 36\/(-10) + (-1 - -2). Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 4*m + 33 + 5 - 4*m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 8 + 0 + 18 + 3 + 122\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 11*a**2 + a - 6. What is q(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.71 - 17. Let v = 0.97 - x. What is v rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**2 - 77*o wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, x: 8}. What is prob of sequence xx?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47\/(-34) + (-4)\/34.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 58, -25 in increasing order.\nAnswer: -25, -5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -109902 + -65.392043\nAnswer: -109967.392043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.91244 rounded to 2 decimal places?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/10*(42400\/240)\/(-106)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 14. Which is the third biggest value? (a) k (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 + 1620*h**2 + 2*h - 803*h**2 - 814*h**2 + 2*h**3 - 2 to g*h + d*h**2 + t + o*h**4 + i*h**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-2 + (-22 - 0)). Suppose -3*v + t + 19 = 0. Suppose -3*r + 6 + v = 0. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 0*o**3 + 1\/135*o**6 + 10 + 0*o**5 + 1\/9*o**2 + 3*o - 1\/27*o**4. Let q(m) be the first derivative of a(m). Factor q(j).\nAnswer: 2*(j - 1)**2*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -3*f - 60. Let d be f\/1 - (-4 + (4 - -3)). Solve 10 = 4*s + 3*n, -2*n + d = 5*s + 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701 a factor of 21773816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 164\/52 - 48\/16\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 0*z**4 + 0*z**3 + 1\/5*z**6 + 0 - z**2 + 0*z**5 - 4*z. What is the first derivative of u(v) wrt v?\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7192681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 350000 rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 3481.\nAnswer: -1\/3481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -425*c + 425*c - 3*c**5 + 2*c**5 + c**5 - 2*c**5 + (3*c**3 - c**3 + 2*c**3)*(2*c - 2*c + 2*c**2) - c**5 + 2*c**3 + 0*c**5 - 5*c**3.\nAnswer: 5*c**5 - 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*37*(-6)\/6*1\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.7001 meters?\nAnswer: 4700100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6273 by -4.\nAnswer: -6273\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60118 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2) + -10 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*k + 0 - 1 - 2 - 141*k - 81*k to u + r*k and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4290 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -89. Let k = o + -14. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d + 9. Let h(o) = 5*o + 8. What is -2*h(t) + 3*p(t)?\nAnswer: 2*t + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3018050 is divided by 1789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8125066 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-15)*i)\/i)**(4\/11))**(-38) assuming i is positive.\nAnswer: i**(2280\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 4:52 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 8*w. Suppose 2*j + p = -w*j - 14799995, 4*j + 4*p + 29599980 = 0. Round j to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 16) to base 13\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2338*f**4 + 1827*f**2.\nAnswer: -56112*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**5 + 14*q**4 + 10*q**3 - 14*q**2 - 12*q = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q - 1. Let z be m(1). Let g be 16\/z*(-27)\/(-12). Suppose g = a + 2*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 - 135. What is the second derivative of -21*w + 2*w + y*w + 62*w**2 wrt w?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 12:28 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g - 1. Suppose 0*p + 4*p + 2*y - 12 = 0, -y = 5*p - 9. Give j(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 6*r**2 + 2. Let v(u) = -4*u**3 - 19*u**2 + u - 6. Let j(s) = -2*v(s) - 7*w(s). Is j(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gvgggvvgvgvvgj?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 2. Let k(c) = 7*c**2 - 3*c. Calculate k(j(b)).\nAnswer: 28*b**2 + 62*b + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(70)\/(sqrt(10) - sqrt(160)).\nAnswer: -sqrt(7)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2aa15 (base 12) to base 6\nAnswer: 1142425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-7))\/((10\/(-6))\/(-5))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4984784*l**3*y - 2*l*y - 9*l + 6555*y + 3564 wrt l.\nAnswer: -14954352*l**2*y - 2*y - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 3dd?\nAnswer: 3dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -521*z**4\/24 + 158*z**3\/3 + 7*z**2 - 61. Differentiate f(n) wrt n.\nAnswer: -521","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.66 + 6.24. Let z = 8 - v. Let c = 173.7 - 175. What is the smallest value in z, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22258253 and 294139?\nAnswer: 2603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5424 - -2) + 4\/2. Suppose -4*c - 6*s + 2*s + r = 0, -4*c = -4*s - 5412. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2349 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5, -1\/3, 4, 565129, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 242 (base 6) to base 15\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -16*r + 9. Let d(l) = -5*l + 3. Let z(s) = 6*d(s) - 2*f(s). Let q(m) = -3073*m. What is q(z(p))?\nAnswer: -6146*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**4\/6 - w**3\/2 + 8*w**2. Let u(m) = 5*m - 4. Determine -3*q(h) + 2*u(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9*f**3 - 11*f + 14. Let x = 84 + -85. Let a be 20\/(1 + -5) + x. Let r(q) = 3*q**3 + 4*q - 5. Give a*j(g) - 17*r(g).\nAnswer: 3*g**3 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*i**2*l**5 + 189*i**2*l - 2*i**2 - 57166*i*l**5 - i*l + 228*l wrt l.\nAnswer: 780*i**2*l**3 - 1143320*i*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 366531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 0 + 2)*-1. Let f be ((-8)\/4)\/(2\/n). Solve c - f = -4*k, 2*k = -c + 8 - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**7\/210 - 17*z**4\/24 - 7*z**3\/3 - 83*z**2. Differentiate t(n) wrt n.\nAnswer: -4*n**3 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 37\/5 of a kilometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(209) + sqrt(209)*-2))\/(sqrt(396)*-3 - sqrt(396)).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 32*x - 0. Let k be -1*(-62)\/217*(-14)\/4. Put 2, 13, x, k in decreasing order.\nAnswer: 13, x, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.0211 - 8.80501. Round u to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -922 + 349*t - 28*t + 130*t + t**2 + 8*t.\nAnswer: (t - 2)*(t + 461)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 7*a**2 + a - 7. Let u be 6 - 1 - (-4)\/2. Let b be n(u). Let r be (2\/6*3)\/(-4). Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 127827468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30342, -60679, -91008, -121329, -151642, -181947?\n\"Answer: 4*z**2 - 30349*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-113*l + 212 - 212)*(3 - 6 + 0) to the form j*l + m and give j.\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2, 11*k + 1 = 9*k - 5*s. Solve 0 - 8 = -k*t + r, 4*t + 5*r = 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1369103, -5476414, -12321929, -21905648, -34227571?\n\"Answer: -1369102*a**2 - 5*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*n + 5 = -4, 5*h = -4*n. Calculate the remainder when 43 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61397 and 50421.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -3*4\/12. Suppose o - 14 = -4*r, y*r + 42 = 3*o - 3*r. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) 3 (c) 1\/192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 4*x - 11*x)*(25*x - 2*x - 6*x).\nAnswer: -170*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -746.43126 and -17296.\nAnswer: -18042.43126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3806 * 15312\nAnswer: 58277472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 653\/305 + -94\/61. What is the third biggest value in -3\/2, 0.4, g, 6\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - 2*i**2 - 4*i - 5. Determine m(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15171*h**4 - 66*h**2 - 62.\nAnswer: 364104*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/17)*h**(-6\/13)*h*(h**3*h)**(-20))**(-2\/19) assuming h is positive.\nAnswer: h**(1828\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -9.869095208.\nAnswer: -7.869095208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 3)*(-2 + 2 + 3) - 1 + 4 - 4 + 0 + 3 - 2)*(-d + d + 3*d + (-3 + 3 + 6*d)*(0 + 5 - 3) - 107 - 8*d + 107).\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0058 minus -4?\nAnswer: 4.0058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 246 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 488? (a) 2\/7 (b) 2\/235 (c) 2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Divide -4000 by 80.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 3:23 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(117) + 2 - (sqrt(208) + 5 + (sqrt(156)*2)\/sqrt(12))).\nAnswer: -9*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**4 - 500145*k**3 - 500160*k**2 + 1000300*k = 0.\nAnswer: -2, 0, 1, 100030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 5*w**2 + 2*w + 18. Suppose 12 = 3*y - 5*y. Let o be b(y). What is the greatest common factor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - -1) + 8 + -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 7, 3 in increasing order.\nAnswer: 3, 7, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*y + a, 4*a - 2*a - 6 = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -895.73 + 891. Let m = -41.53 - -42. Let p = f - m. Round p to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287774 is divided by 71934?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -l + 167 + 23, 0 = 3*l - 5*z - 572. Find the second derivative of 194*a**3 - 19*a + a**4 - l*a**3 wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6767231 or 1\/88?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/4)*i*i*i*i*i*i**(2\/5)\/i)\/(i\/(i\/(i\/i**(-6)))*i*i**7*i*i*i)*i**(-7)*i*(i**(-3\/2)*i*i)\/i*i**(-2\/11)\/i**(-6\/7) assuming i is positive.\nAnswer: i**(-27989\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7)\/(((-2)\/9)\/(238\/21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1103*v**2 + v + 2752*v**2 - 141*v**2.\nAnswer: 3714*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-9))\/2*21. Let x = -18 + w. Which is smaller: -5 or x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1783451 and 10027.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.076869 and 698.\nAnswer: -53.654562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y - 3 - 1 - 3 + 2. Let b be h(-5). Suppose 0 = -4*z - 12, 0 = -3*q - 5*z + 2*z + b. Calculate the remainder when q is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 5*o**2 + 4*o + 24. Let j = 1449 + -765. What is the least common multiple of p(-5) and j?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 9*a + 630. Let c = -74 - a. What is the remainder when c is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6123\/(-1365))\/(2\/(-10)) + (-3)\/7\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10122022020 (base 3) to base 8.\nAnswer: -213760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -5) + (-8 - (-3 + -2)) + -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20059 = -3*y - 10*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3969 + 5569. What is b rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 55, 405, 4?\nAnswer: 405","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 24 - -8 - (-16 + -4)) + -10 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6140, 6167, 6196, 6227, 6260, 6295?\n\"Answer: z**2 + 24*z + 6115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/4*64\/3. Suppose 4*i = h + 8. Suppose -5*q - i + 65 = 0. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w - 23*w - 115 = 0, -115 = -0*o - 0*o + 4*o - 5*w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-390)\/(-35) + 4\/(-28). Let w be ((-6)\/(-4))\/(t\/22). Solve 4*o = -4*v + 23 - 3, -4*o = -w*v + 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - ((3 - -1) + -3)) + (-90 - -95).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17961.15 centuries in years?\nAnswer: 1796115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxmdm. What is prob of picking 2 x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 4, s: 7, j: 5}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) + 2*sqrt(135))\/(sqrt(21)\/(sqrt(7)*-1)) + 5)*-2*-4.\nAnswer: -72*sqrt(5) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 - ((-72330)\/(-135) - 7). Let t = -40 - y. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((44\/(-6))\/(-11))\/(-1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 20 = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12\/7 + -50\/21. Let b be (0 - (-13)\/2)*-2. Let l = b - -18. What is the closest to 0 in v, l, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 3:19 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -13*n + 9*n + 8, -2*u + 3*n - 1 = 0. Let q(x) be the first derivative of -1\/3*x**6 + 4\/3*x**3 - 4*x - 8 - 3*x**2 + 2*x**u + 0*x**5. Factor q(r).\nAnswer: -2*(r - 2)*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*((-2 - 6) + 2). Let x = 14 + -11. Suppose x*l = l + m. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -168085*f + 168082*f - 26, -3*d + 5*f = -45 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.5, 0, -5, 2, 1375.\nAnswer: -5, 0, 0.5, 2, 3, 1375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g**2 + 3*g + 5. Let l(j) = -22*j. Determine s(l(f)).\nAnswer: -4840*f**2 - 66*f + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 286 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*f + 2*z, -5*z = 4*f - 4*z - 7. Suppose i = -0*i. Solve p = -f - i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stdrdgswg. What is prob of sequence rs?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 + 267 - (34 - 4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 941725.1ng?\nAnswer: 941.7251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twj when three letters picked without replacement from twwwtwjv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 4:20 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -437.3 and 9201.9.\nAnswer: 8764.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12199404, -24398796, -36598188, -48797580?\nAnswer: -60996972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.2*933\nAnswer: -2052.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -1b5879?\nAnswer: 1b5879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 131*d**3 - 132*d**2.\nAnswer: d**2*(d - 132)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1 - 5 + 3 - 3*l. Let c(g) = 45*g - 45*g - 4*g**2. Let b be c(1). Give r(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, b: 2, x: 1}. Give prob of picking 2 b, 1 k, and 1 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - 0. Let x(j) = -2*j**3 - 3*j**2 + 2*j + 5. Let d be x(-2). What is the third biggest value in s, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 6 - 6)*(0 + 1 + 0) + (-5 + 1 + 5)*(-3*i**3 - 3*i**3 + 4*i**3) - i**3 - i**3 + i**3 + 2*i - 2*i**3 - 2*i + 4 - 4 + i**3.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1138, -49, -1 in descending order.\nAnswer: -1, -49, -1138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (24 + 24 - -6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 + 0.25. Suppose 8 - 48 = -4*h. Suppose 5*x - h = -d + 4, 3*d = -x + 14. Which is the closest to 2? (a) q (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.2 - -2.2. Let z = -79\/42 - -8\/21. What is the closest to -7\/5 in g, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) -1.3 (c) -0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40863631?\nAnswer: 17, 43, 55901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 4. Suppose 0 = 4*l + 5*n - 27, -2*n = -7*n + 15. Suppose 5*m + 3*q + 0*q = -12, -14 = l*m - 5*q. Is y < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -31 - (0 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 2.\nAnswer: -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*u - 25 = -8*i, 22 = 2*i + 4*u. Solve -3*l - 3*a - 21 = 0, i*l = -l + 5*a + 17 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 128213170, 128213171, 128213172, 128213173, 128213174?\n\"Answer: d + 128213169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16844 - -0.1.\nAnswer: -0.06844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -61. Suppose -3*o - 46 + 135 = -h, o = 2*h + v. Suppose 0*f + f - o = -3*s, 4*s - 28 = -f. What is the remainder when f is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -q - 2*i - 3*i, 2*i - 16 = -3*q. Suppose u + 4*u = q*h + 14, -2*u = 5*h - 32. Let g(p) = 3*p - 3. Give g(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 553 = -4*o, -16*z = -11*z - 25. Let k = -97 - o. Calculate the remainder when k is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 1:22 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 2)*((-5*z - 4*z + 6*z)*(-2 + 1 + 3) - 2*z + 2*z - 2*z).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29090 - 29069. Solve 0 = -5*o + 2*m - 10, f = -o - 4*m + 19 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9120*r**6 + r**4 + 470947*r**2.\nAnswer: -1094400*r**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 990 = 2*z, 2*z + u - 869 = 130. List the prime factors of z.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 9*p - 70 = 0. Let l(s) = s**2 + 2*s + 7. What is the tens digit of l(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*o + 27*o - 1387*o - 1036*o.\nAnswer: -2791*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + j**2 + 10*j**2)*(j**2 + 7*j**2 - 3*j**2) - 26*j**4 + 120*j**4 - 57*j**4.\nAnswer: 87*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -15*q - 5. Let z be s(-1). Calculate the highest common divisor of z and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*a = 27*a + 9*a + 884. Solve -a = 13*f + 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341537563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b + 2*y - 24 = 23*b, 2*y - 4 = 0. Calculate the least common multiple of 2980 and b.\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 20 = -4*z. Let v = 11 + z. Calculate the remainder when v + -3 + (41 - -1) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50268 and 1065?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 7*p**2 - 226*p + 1312. Let v be g(6). Let q(k) = k**2 + 12*k + 43. Calculate q(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**3\/6 - 2*r**2 - r. Let f be i(-6). What is the third derivative of 0*t**f - 2*t**2 - 3*t**4 + 5*t**4 wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181, -166, -151, -136, -121?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 356989600 divided by -98725.\nAnswer: -3616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 155209 = 5*v - 0*v - 155229, -2*v + 8 = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5150 - 5152. Put 0.2, f, -3, 1, -6 in decreasing order.\nAnswer: 1, 0.2, f, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 - -4)*-18 + 13 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223403 + 11?\nAnswer: 223414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - g + 1 = -f, -3*g - 3*f = 3. Suppose -3*z - z - 5*t + 23 = g, -z + t - 1 = 0. Solve 3*c + 5*p + 10 = -z*c, -10 = -5*c + 5*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -65767.01.\nAnswer: -65766.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4462 is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - p + 3*p)*(-4 + 6 - 3)*(45 + 177 + 303).\nAnswer: 525*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 - 420 - 111*k + 46*k - 570 - 2*k**2 + 62*k as t + s*k**2 + g*k and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 3:18 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a\/(a\/(a**(-1)*a)))*a))**6\/((a*a**0)\/a)**(13\/2))**(-3\/8))**(-4\/13) assuming a is positive.\nAnswer: a**(-9\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/26 or -9?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -600 by -200480.\nAnswer: 15\/5012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 + 90 + (-6 + 1 - 1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 3. Let b be s(7). Let c = 4 + b. Suppose c*x - 5*x = -180. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -23*w**6\/6 - 226*w**2 - 60*w + 2. What is the derivative of a(d) wrt d?\nAnswer: -460*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797.1237l to millilitres.\nAnswer: 797123.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -118 + 6 + (-12 - -21) + (5 - 14)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.02 - -1.72. Let m = 21 + j. Is -2\/9 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 3*c - 8, -3*t = -4*t - 5*c - 6. Let q be 8\/3*(2 - t). Suppose -4*y + 0*y + q = 0. Solve -3*z - 5 = -y*g, 2*g = -z - z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14, -1, -40, -115, -238, -421?\n\"Answer: -2*r**3 - r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44610 + 127698 = 12*w - 106404. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*m**3 - 34\/7*m - 2\/7*m**2 - 30\/7.\nAnswer: 2*(m - 5)*(m + 1)*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 4. Let w be (-2)\/(-2 + (-13)\/(-6)). Let v = w + 16. Suppose 2*g + g + 4 = -o, -v*g + 3 = 3*o. Determine h(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 19442*a - 155600.\nAnswer: (a - 19450)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7870 + 39351\/5. Which is the second biggest value? (a) i (b) 3 (c) -3 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 1444.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21, 30, 45, 66, 93?\n\"Answer: 3*m**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1715*o**4 - 12924485*o**3 - 11078970*o**2 - 3165500*o - 301480.\nAnswer: 5*(o - 7537)*(7*o + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1187.403 seconds to minutes.\nAnswer: 19.79005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 60 = 8*q. Is -2\/9 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 5. Let z be w(-6). Let l = -8 - z. Let m = 4 + l. Is m less than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 134139.151?\nAnswer: -134140.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.555537 milligrams in nanograms?\nAnswer: 5555537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 687?\nAnswer: 8931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvm when three letters picked without replacement from vimpjjjj.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1403.\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3 - 85572*n**2 + 5399102*n + 5484672 = 0.\nAnswer: -42849, -1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -21*r**2 - 2*r + 9. Let d(a) = 25*a**2 + 3*a - 9. Let v(o) = 2*d(o) + 3*i(o). Let n(y) = 23989*y**2 + 2 - 7 - 23982*y**2. Give -7*n(t) - 4*v(t).\nAnswer: 3*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v - 8*v = 230. Solve 3*s - s + v = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - -8 - -7 - 6. Determine b, given that 1\/3*b + 1\/2*b**2 + 0 + 1\/6*b**s = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y + 17*y = 96 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a (base 13) in base 15?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1707*t**2. Let d(x) = 9*x**2 - 6*x - 6. Let b(a) = 66*a**2 - 45*a - 45. Let v(g) = 2*b(g) - 15*d(g). Give p(v(l)).\nAnswer: -15363*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -15*a**2 - 9. Let v(y) = -7 + 12 - 267*y**2 + 275*y**2. Determine 6*l(k) + 11*v(k).\nAnswer: -2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 61357*d - 490855. Give x(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -d - 31, -d + 7 = -v - 2*d. Let h(z) = 2*z + 8*z - 12*z. List the prime factors of h(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-40)*1*2\/(-1)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p + 2. Let j be x(-6). Solve -4*o = 5*z + 16, -6 + j = -4*z - 2*o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-4))\/(1 - (-20)\/(-32)). Let o be (8 + (a - 18))*3745000\/3. Round o to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000056721329 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68489 + 16032. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*q - 531521 = 0, 4*i - 641676 - 66967 = -5*q. Suppose -6*x + 16367 = i. Round x to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1011, 4061, 9143, 16263, 25427, 36641?\nAnswer: 49911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 3. Calculate the remainder when (-2)\/(-4) + (-2)\/(-4) is divided by z(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + 0*b**3 + b**3)*(77*b - 77*b - 15*b**2).\nAnswer: -30*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 66 = -2*o. Suppose x = 7*x - 168. Let c = -12 + x. What is the lowest common multiple of c and o?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -8. Let p = -1 - 4. Let n = p - -6. Sort n, 0, a.\nAnswer: a, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 273*l*s**2 - 9*l*s + l - 247*s**2 - 2*s - 52 wrt l.\nAnswer: 273*s**2 - 9*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -5*u + 3*d, 0 = -4*u - 336*d + 339*d - 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 208209491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23482033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53124 and 393770.\nAnswer: 44889780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 148 + (141 - 496 - -118)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 + -5 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by -3 - (288\/(-10) + (-4)\/20)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, x: 4}. Give prob of sequence xtt.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -4\/7, -0.3383, 2, -34, 0.5?\nAnswer: -0.3383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8993 - 10343. Sort -5, j, -1\/2 in descending order.\nAnswer: -1\/2, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/11)\/((o**(8\/3)\/o)\/o) assuming o is positive.\nAnswer: o**(-16\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 5519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071920 to the power of 1\/2, to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -780*m + 7908 + 25696 - 5524 = 0 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 0*x - 1 = -2*u, -8*u + 2*x - 46 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961161 at least as big as 1961148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*4*5*(1 + -2*sqrt(180) + -1).\nAnswer: 1920*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5.9+-0.31\nAnswer: 5.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i. Let t(s) = 379*s**2 + 10. What is t(b(q))?\nAnswer: 1516*q**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -15*o**3 + 7*o**2 + 5*o + 5. Let l(i) = -4*i**3 + 2*i**2 + i + 1. Let w(j) = -22*l(j) + 6*v(j). Find t, given that w(t) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 41 + 55 = 0. Let d(y) = -y**3 - 5*y**2 - 5*y - 7. Calculate the lowest common multiple of d(-5) and v.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*m + 3 - 5 + 2 to the form x*m + k and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -118 in 0, -41, 38?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coccooocooo. What is prob of picking 3 o?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.137065t to nanograms.\nAnswer: 2137065000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7*v**2 - 3*v + v - v**3 + 1 - 11. Let p be o(-7). Suppose 0 = p*g - 0*g - 4. Calculate the greatest common divisor of 5 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-65) + (-37602)\/(-39). Let z be 5*(-3)\/(-6) + (-9)\/18. Suppose -5*h = 4*y - w, -h + 123 + 67 = -z*y. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 2*q + 4. Let j(v) = -4*v**2 - 9*v - 17. Calculate 6*j(i) + 26*m(i).\nAnswer: 2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, w: 4, s: 4, i: 4}. What is prob of picking 2 w?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbfttbtbffptpkft. Give prob of picking 1 k, 1 p, and 2 t.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g - 9. Let i be y(7). Let j = 8 - i. Let o = j + 5. Solve c - o = 2*c - 2*h, 0 = -2*h + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4846359*o. Let p(i) = -5*i**2 - 2*i. Give f(p(y)).\nAnswer: -24231795*y**2 - 9692718*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-296)\/1036 + (-346)\/210 + 6\/10. What is the closest to -1\/10 in -0.1, 3\/34, r, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 7*u - 3*v + 3, 5*u - 27 = 3*v. Let j(c) = c**2 - 2*c**3 + c**3 + 0*c**2. Let y be j(0). Sort u, -4, y in increasing order.\nAnswer: -4, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52061647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 10.818813 months?\nAnswer: 0.090156775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**5\/60 + 13*z**4\/12 + z**3\/3 + 38*z**2 - z. Let w be f(26). Solve -14\/13*a - 4\/13*a**w - 6\/13 = 0.\nAnswer: -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.101 * -29.\nAnswer: 2.929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + 18 - (0 - -4) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.557609 - 3542858.\nAnswer: -3542864.557609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 a when three letters picked without replacement from {s: 3, i: 5, a: 5}.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**3 - 2711 - v**2 + v + 1358 + 1356 in the form w + g*v**3 + n*v + y*v**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**4\/2 - x**3\/2 - x**2 - 9*x. Let k be r(-2). Let t = 27 + k. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 20. Let u = -36 - q. Calculate the common denominator of u\/8 + 205\/36 and 143\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - a + 2*a + 4)*(6 + 2*a - 5 + 9) to the form l + f*a**2 + v*a and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 6 + 5)*(y + 3*y + y) + 7 + 7*y - 7 to x + c*y and give c.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:52 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/7 - 5102*b**3\/7 + 3215386*b**2\/7 - 6415474*b\/7 + 457884 = 0.\nAnswer: 1, 1127, 1422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 131*i - 809. Let c be o(6). Solve -12*y = c*y + 150 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 225795*p + 225794.\nAnswer: (p - 225794)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57199?\nAnswer: 47, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 23 = -c + 3*o, -10 = -2*c + 2*o. Let d be -7 + 3 + 11 + c. Solve -9 = 3*b - 4*a, 2*a = -3*a + d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 11 = -17. Let l be (75\/v)\/((-4)\/(-8)). Calculate the highest common divisor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 39851c4?\nAnswer: 39851c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -17. Let a(s) = 5*s + 5. Let z(b) = 14*b + 14. Let n(t) = 8*t**3 - 2*t**2 - 3*t + 5. Let u be n(2). Let o = u + -52. Determine c*a(x) + o*z(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 1. Let w be z(1). Let h be (w + -3)\/((-2)\/8). Suppose v + h - 21 = -5*b, -b - 3 = 3*v. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29\/78 - 1195\/312. Calculate the common denominator of 10\/27 and q.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 - 64*z - 270.\nAnswer: -2*(z + 5)*(z + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 437 = 8*a. Let r be 40\/4 + -3 + a. Factor -99\/4*k**2 - 3\/4*k**4 - r*k - 12 - 15\/2*k**3.\nAnswer: -3*(k + 1)**2*(k + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**2\/2 + 116. Calculate m(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 17. Let z be p(-12). Suppose 4*b + 3*g = -50 + 1, -4*b = z*g + 47. Let a = -12 - b. Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.39279 (b) 1 (c) 2\/159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 11:40 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14885 = -4*l - k, -l = 3*k - 0*k - 3735. Differentiate l*f**4 - 1820*f**4 - 1801*f**4 + 6 with respect to f.\nAnswer: 396*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w. Let u(v) = -69*v**2 + 12*v. Calculate u(o(m)).\nAnswer: -1104*m**2 + 48*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010201020 - 20212?\nAnswer: -2010222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 15*q + 3. Give x(10).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3\/5 + 1398*l**2\/5 - 139361*l\/5 + 3112428\/5 = 0. What is l?\nAnswer: 33, 73, 1292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4139827 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.5792 to one dp.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -22, -10, -3, 1\/5.\nAnswer: -22, -10, -3, 1\/5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3 + 3 - p + 7*p. Let w(v) = v**2 + v**2 - 7 + 7. What is x(w(r))?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -528 divided by -8.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3933796439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 86375948, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3880594 divided by 14426.\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1796*o**4 - 3601*o**3 + 283*o**2 - 17*o - 281?\nAnswer: -43104*o - 21606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - (-2 + 1 + 1). Let t = -11 - o. Let h = 15 + t. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5647851.\nAnswer: 3, 11, 89, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.9756l in millilitres?\nAnswer: 160975.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + c. Suppose 0 = -2*o + 5*n + 15, -4*o - 10 = n - 3*n. Let w(u) = 6*u**2 + 5*u. Let j(s) = o*f(s) + w(s). Give j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 - 68*k**2 + 14*k - 4. Let w(o) = -4*o**3 - 154*o**2 + 30*o - 8. Let f(m) = -9*b(m) + 4*w(m). Let t be 0 + (-5)\/((-15)\/12). What is f(t)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19914 divided by -3.\nAnswer: 6638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 60*r**2 + 2*r + 1. Is m(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.79 + -0.41. Let c = d - -0.21. Let y = -0.590262 + c. Round y to 5 dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52026 = 12*b + 11*b. Let o = 162 - b. What is o rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 47 = -5*y - 4*b, 0 = -2*y - 6*b + 102. Solve 84 = 7*h + y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 348, 512, 670, 822, 968?\nAnswer: 1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -69347616 divided by 416\nAnswer: -166701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/345931, 2, -0.84 in ascending order.\nAnswer: -0.84, -2\/345931, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s + 4 - s**2 + 2*s**2 + s**2 - s**2. Let c = 47 + -50. Give p(c).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 times -3\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 40.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*o + 72 = -50*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 1\/3*w**3 + 0 - 13*w - 38\/3*w**2 = 0.\nAnswer: -1, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 h when four letters picked without replacement from {p: 2, h: 4, d: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 413330 (base 7) in base 2?\nAnswer: 10001010010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5268 + 5273. What is the closest to -1 in 0.2, p, -4\/17, 4?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31735)\/880 - (-7 - 29) - (-2270)\/(-32)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - 65. Suppose 0 = -3*w - 2*s + 6, -5*w - x*s - 7 + 18 = 0. Solve 0 = -n + q + 2, -2*q - 4 = -0*n - w*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -8 + (-10 - -11 - 2) - -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1307.194855 and -0.3.\nAnswer: -392.1584565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*c + 140*c - 1176 = -7*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87921.9 litres in millilitres?\nAnswer: 87921900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1\/(285\/140 + -2) and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3332 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 1. Let g be c(0). What is the tens digit of 32 + 1 + (0 - (g - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -32. Calculate the smallest common multiple of f and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70266831 to the nearest integer?\nAnswer: 8383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*s**2)*(3*s**3 - 5*s**3 - s**3).\nAnswer: 9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 568 = -5*z, -306 = 4*k + z - 1035. Suppose 0 = -f + 13 + k. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1744 + 1035*z**2 + 1744 - 3*z + 6*z - 5*z.\nAnswer: 1035*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -63*w**2 + 7*w + 6. Let p(f) = 63*f**2 - 5*f - 4. Calculate 2*l(a) + 3*p(a).\nAnswer: 63*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**6\/360 - n**5\/30 - n**4\/6 - 10*n**3\/3 - 9*n. Let j(t) be the second derivative of u(t). Suppose j(d) = 0. What is d?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-4 + 32\/6)*-30. Suppose -72 = -n*t + 84. Solve r + t*p + 17 = 0, r + 0*p - 13 = 2*p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**2 + 48*r - 44 = 0. What is r?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895 is divided by 128.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g + g)*(0*g - 4*g + 2*g)*(-79*g**2 + 8887 - 8887).\nAnswer: 316*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293245857?\nAnswer: 3, 149, 218677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.804 + 0.82. Round j to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 15, -5, 5, -21.\nAnswer: -21, -5, -2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 12404*p**2 + 12*p - 12. Let l be d(1). Suppose 15*y = 1276 + l. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51539650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 5:04 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -105?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2451 - 43221 - 9*j**2 + 45672.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -158 + (95 - 239) + 179\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 34 - 14. Suppose 0 = -2*h + g*h + 21. Let c(b) = -b**2 + 9*b + 5. Let m(x) = -x**2 + 13*x + 7. Let f be (1 + -3)\/(10\/(-25)). Give f*m(w) + h*c(w).\nAnswer: 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5 + (2 - 2 - 1)*(11 + 5 + 14))*(32 + 22772*y**4 - 14*y**5 - 22772*y**4).\nAnswer: 406*y**5 - 928","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-694731)\/(-52416) - -3*(-5)\/(-105). Let r = k - 478\/39. Calculate the common denominator of r and -131\/18.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 - 8*k**2 + 2*k - 7. Let h(r) = r**3 - 2*r**2 - r - 1. Let m(c) = 4*h(c) - v(c). Determine m(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0 = -5, -2 = 4*z - 2*y. Suppose p - 4*p - 3 = 0, 3*p = -z*k + 1723. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44918 is divided by 44790.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = c - 20579. What are the prime factors of c?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + (5 + ((sqrt(363) - (sqrt(363) + -2)) + 1 - sqrt(363)) - (sqrt(363)*2 + -2)*3)**2)*-5.\nAnswer: -89900 + 10780*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1946662641*s**3\/2 - 761144916147*s**2\/2 - 34502620*s - 782.\nAnswer: (s - 391)*(44121*s + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + -148529?\nAnswer: -148521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) 1 (c) 2 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 2:24 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298542184.\nAnswer: 2, 37317773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36000 by 144.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**13)\/y*y*y*y**(-3) assuming y is positive.\nAnswer: y**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7b - 32?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17452884.\nAnswer: 2, 3, 439, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**(-41)\/(b**(-1\/4)\/b*b)**(-28))**(-1\/2) assuming b is positive.\nAnswer: b**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 109526323 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22 + 87437.\nAnswer: 87436.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 600429 and 41817?\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*a + 26*a - 5*a - 83*a)*(2*a - a + 4*a).\nAnswer: -510*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 9:03 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 + 4 = -2*z, f - 2 = 2*z. Suppose f = 5*d - 3*c, d + d - 1 = c. Suppose 1 - 3 = -o - a, 0 = -5*o + 5*a + 10. Solve o + 4 = d*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97*z**4 - 299*z**3 - z**2 + 58967*z?\nAnswer: 1164*z**2 - 1794*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 322560 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/69 (b) 3\/2 (c) -2\/5 (d) -7 (e) 0.3 (f) -0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2185927675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001110100100 (base 2) in base 9?\nAnswer: 13457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - r**2 + 2*r**2 + (0*r - r + 3*r)*(-16*r - 12 + 12) + 0 + 0 + 2*r**2.\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 763 and 2967089?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -2*o + 26, -128957*o = -5*h - 128962*o + 115 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*s**4 - s**3 + s**2 + 8*s wrt s.\nAnswer: 600*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 0*n**3 - 161\/4*n**4 + 0*n**2 + 14*n + 26. Differentiate q(o) wrt o.\nAnswer: -483*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from crccrrrrcrrrrrrrrrr?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3841, 4053, 4339, 4699?\n\"Answer: 37*v**2 + 101*v + 3703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b + 14 - 23 + 1 to l*b + r and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 6:28 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*p + 13*p + 280. What is the remainder when 41 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 46\/1 - (-3)\/(-3). Suppose 0*l = 5*l - o. Calculate the remainder when 42 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -45*d - 14. Let r(j) = -3*j + 21. Let o be r(9). Is 16 a factor of b(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 10. Let f be s(-13). Let u(v) = 3. Let t(y) = -y**2 + y - 3. Let b(a) = f*t(a) + 3*u(a). Let b(q) = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**2*b**3*v**2 + 75*a**2*v - 7*a*b**2*v**2 - a*b**2 - 7*b**3*v wrt a.\nAnswer: -10*b**3*v**2 + 150*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 18*m**2 + 2*m + 2. Let x = -9863 + 9865. Let f(q) = q**2 + q + 1. Calculate x*c(j) - 4*f(j).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*q**2 + 23337*q - 6666.\nAnswer: -3*(q - 1111)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 852\/35473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5*i - 31 = 0, i = -j - 200 + 189 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2709, 5421, 8133, 10845, 13557?\nAnswer: 16269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -69067316, -69067326, -69067348, -69067388, -69067452, -69067546, -69067676, -69067848?\n\"Answer: -g**3 - 3*g - 69067312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 367, 2, 5, 11, 3.\nAnswer: 2, 3, 5, 11, 367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 - 24*l + 21. Let f be m(17). Let s be f\/112 + (-16)\/7 + 2. Solve -3*h = s*w + 26 - 4, 2*h - 2*w - 4 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5*2\/80)\/(5\/284))\/(2094\/(-4188)).\nAnswer: -71\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2. Let d be 23\/4 + 9\/(-12). Let f(v) = -d*v + 0*v - 3*v. Determine l(f(b)).\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59708 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 2*n - 517 = 0. Let s = 76 - n. What is the remainder when 106 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -18 + 2 - 8*6\/(-12). Let r = -1096 - -17559\/16. Find the common denominator of (380\/(-160))\/((-1)\/d) and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or -1378?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.17275119 rounded to 3 decimal places?\nAnswer: 1.173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157 + -102. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**3\/7 + 1419*r**2\/7 - 38790*r\/7 + 71928\/7 = 0.\nAnswer: 2, 27, 444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8830*f**2*g**3*x**2 + f**2*g*x**3 + 637*f*g**3*x - f*g**2 + g**2 - 25*g*x**3 wrt f.\nAnswer: -17660*g**3*x**2 + 2*g*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -49, -3, -41, 0.11, -41\/9?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 3 - (-10)\/2. Let q(z) = 3*z - 51. Let x(m) = 16*m - 281. Let l(f) = -11*q(f) + 2*x(f). Determine l(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798 is divided by 277.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*d - 42, -3*d + 3*s + 26 = 4*s. Solve d = -w + 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 13*l - 14*l - 12, 0 = 4*l + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**2 - 6*g**2 + 3*g**2 + (1 - 10 + 0)*(3 - 3 + 2*g**2) - 2*g**2 + 4*g**2 + g + 0*g as i*g + q*g**2 + m and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -36. Suppose -5*k + 0*u - 4*u = 8, -5*k + 2*u - 26 = 0. Let l be ((-6)\/4)\/(k\/i). Solve 0 = c - 4*c - l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6907625, 6907626, 6907627, 6907628, 6907629, 6907630?\n\"Answer: t + 6907624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 37, 77, 117, 157, 197?\n\"Answer: 40*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 44. Suppose k = -2*g - 2*k - 15, -5*g = -k - 5. Suppose -4*a = -3*d + 7, y*d - d + 4*a - 23 = g. Is d less than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 401b4b (base 12) to base 16\nAnswer: f3d2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 16*f - 11. Let n be v(-7). Let q = n + 250. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 398115, 398078, 398041?\n\"Answer: -37*r + 398152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*k + d - 151, 3*k - 449*d + 451*d - 36 = 0 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2 - 674545248*k - 113752822899845376 = 0 for k.\nAnswer: -337272624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2. Let z(o) be the first derivative of 1\/3*o**3 + 0*o**2 + 2 + 0*o. Give q(z(b)).\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/(-9))\/((-1)\/3). Let b = 12.1 - 12. Let i = b + -0.4. Put h, i, -2\/7 in increasing order.\nAnswer: i, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 13*v**2 + 336*v - 22. What is c(-26)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 3*j**7\/245 - j**6\/140 - j**5\/42 - j**4\/84 + 6*j**2. What is a in n(a) = 0?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 9*r**2 - 4*r + 4. Let t(c) be the third derivative of -c**5\/15 + c**4\/12 - c**3\/3 - 6*c**2 - 8*c. Calculate -6*g(l) - 13*t(l).\nAnswer: -2*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247870 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 3:34 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 1. Let r(y) = 2*y + 3*y - 4 - 1. Let z = -11 - -7. Let f(t) = z*r(t) + 18*d(t). Find the first derivative of f(j) wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14255 + 3?\nAnswer: -14252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.512343379 less than -0.5?\nAnswer: 7.012343379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 435375*s - 21 + 13.\nAnswer: 435375*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54231, -108454, -162677, -216900?\nAnswer: -271123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -37.392.\nAnswer: -112.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -370676, -2 in increasing order.\nAnswer: -370676, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 2247040?\nAnswer: 2247040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -138.965 - 0.035. Let o = 139.138 + b. Round o to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28 + -22 - (-536 + -2). Suppose -9*i + 5*i + o = 0. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*u + 2. Let t(i) = i**2 + 5*i - 10. Let v be t(u). Let r be (-2)\/(-11)*2\/v. Put -2, -3\/4, r in descending order.\nAnswer: r, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/15, 0, -2\/17, 41, -5 in increasing order.\nAnswer: -5, -4\/15, -2\/17, 0, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, b: 3}. What is prob of sequence wbwb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -115, -91, -47, 23, 125, 265?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 928872 and 5820.\nAnswer: 4644360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 40. Let q be (8\/(-10))\/(1\/k). Suppose q = 5*n - 4. Solve 2*s - n*p + 2 = 0, -4 = s + 3*s - 2*p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67118 - 47011. Suppose 2*r + 3129 = c. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1896528 is divided by 632149?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13793658 divided by -6?\nAnswer: -2298943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/46 and -67\/276.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 164*m + 4. Calculate z(-3).\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8330 is divided by 8297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*l**5 - 7*l**4 + 108*l**2.\nAnswer: 1680*l**2 - 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(91)*-1 + sqrt(91))\/((sqrt(210)\/sqrt(6))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -10, 2\/9, -0.4, 0.1, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 796561.\nAnswer: 1593122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 + 191*g - 71 - 71.\nAnswer: 191*g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4086 is divided by 105.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 43*u - 1132515 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let a(r) = 5*r**2. Let x be a(z). Suppose 0 = b - x + 3. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/94 and 89\/10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10540003 + 4?\nAnswer: -1053aaaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (6 + (-9 - 4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 387*o + 10992*o - 23463*o + 6818*o**2 wrt o.\nAnswer: 13636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tptptttwp. Give prob of sequence wptp.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19)\/(-6) - (-3)\/(-18). Suppose 3*v = -x*h + 54, h + 4*v - 42 = -h. Let g = -2 + h. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3901639 + -1805753\nAnswer: 2095886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543948.\nAnswer: 2, 3, 45329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189010223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22276.\nAnswer: 2, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**5\/20 + l**4\/12 - l**3\/6 - l**2\/2 + 2*l. Factor v(j).\nAnswer: (j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -17*o + 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 239440 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.1 minus 44437?\nAnswer: -44449.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 21 - 51. Find the first derivative of -2334*v + 2332*v - s*v**3 - 23 + 78 wrt v.\nAnswer: -18*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 6*c + 5. Suppose 4*s - 12 = -3*m, 0 = -0*m - m - 3*s - 1. Suppose 3 = -u + 2*u. Let p = m - u. Determine n(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 10*v. Let s(a) = -105*a - 91. Let f(x) = 7*x + 6. Let r(c) = 91*f(c) + 6*s(c). Give r(p(y)).\nAnswer: 70*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 8*s - 8. Let z be q(-6). Suppose -2*b - 2*o = -0*b - 18, 2*b - 26 = -z*o. Find the second derivative of 0*k**4 + 3*k**4 - b*k**4 - k wrt k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**(-8\/5))*p)\/((p**(-1\/13)\/p)\/p))**(-20))**(2\/105) assuming p is positive.\nAnswer: p**(-2432\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 + 6*x**2 - x - 1. Is f(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 30*k**2 - 100*k - 83. What is c(5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 98\/5 of a gram?\nAnswer: 19600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u + 3*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -625009000 rounded to the nearest 1000000?\nAnswer: -625000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1720*s**3*y + s**3 + 166*s**2 + 7*s*y + 30*s + 2 wrt y?\nAnswer: 1720*s**3 + 7*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99101205 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 538, 3344, 10972, 25828, 50318, 86848?\nAnswer: 137824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (234\/(-585))\/((-2)\/(-10)) - (-19 - -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15446 (base 12) to base 3\nAnswer: -1112011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 11:39 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5070 and 7670?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 + 0*g**4 - g**4 - 3*g**4 + g**4 + 3*g**4 + (-g**3 - 2*g**3 + 4*g**3)*(-1 + 1 + 3*g) + 0*g**4 - 3*g**4 - g**4.\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1100, 2256, 3464, 4724, 6036?\nAnswer: 7400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**3 - 10*f**2 - 26*f + 16. Let s(q) = -q**3 + 2*q**2 + 5*q - 3. Let o(a) = 11*s(a) + 2*u(a). Let k be o(-3). Let r = 62 - k. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136*b*w**2 - 2*b*w + b - 21*w wrt w.\nAnswer: -272*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12515311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 251489 and 259.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/u**(-5)*u*(u\/((u\/u**(-1\/11))\/u))\/u*(u*u*u**(1\/4)*u*u)**(-5)*(u*u*(u**1\/u*u)\/u*u)\/(u\/((u*u\/u**(-5))\/u))*(u*u*u**5)\/u**(6\/11) assuming u is positive.\nAnswer: u**(49\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -667243, -1334396, -2001549, -2668702, -3335855?\n\"Answer: -667153*d - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 384695 divided by -5\nAnswer: -76939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuc when three letters picked without replacement from {r: 1, n: 1, u: 1, c: 1, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 8*w = -2*j - 18, 0 = -2*j - 5*w - 26 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -113023200102 (base 4) to base 7\nAnswer: -102435360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(-10)\/(-12) + (-84)\/15. Let v = 0.91 - -1.09. Sort -5, j, v, -5\/3 in increasing order.\nAnswer: -5, -5\/3, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**4 - 3*p**3 + 2 + 2*p + 6*p**4 - 5*p**4 to j*p + q*p**2 + w*p**4 + l + v*p**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/4 of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3058 - 256?\nAnswer: 2a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((252\/35)\/(-6))\/3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7294, 7296, 7298, 7300, 7302, 7304?\n\"Answer: 2*s + 7292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 0 + 9*k - k - k**2 + 4 + 1. Let v be d(9). Suppose -16 = p + 3*p. Is p smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 5*m + f, 2*m + 5*f - 2 + 17 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52091827 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 411*r + 24600. Determine b(53).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 2\/25 (c) -376\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -61713\/8042 less than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g - 22. Let q be j(5). Factor -3*v**3 - 185*v**2 + 193*v**2 - v**q.\nAnswer: -4*v**2*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -459 - -473. Suppose -2289 = -l*f - 7*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -25. Let f be (-1)\/(2\/2*2\/k). Let x(p) = -2*p - 2. Give x(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = 8*j - 5250. Let c = j - -28031\/16. Let w = 314\/25 + -3549\/400. What is the common denominator of c and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -532*f**4*r**2 - 6092*f**2*r**2 - 89*r**2 - 1944*r + 9 with respect to f.\nAnswer: -2128*f**3*r**2 - 12184*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -5*y**4\/24 + 5*y**3\/6 - 44*y**2. Let z be m(-5). Let r(l) = -4*l + 1. Let a be r(-1). Solve -z = a*s - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(117) + -2) + -1 + (sqrt(117) - (sqrt(117) + sqrt(117) + 2)))**2 + (sqrt(208) + 0 - (sqrt(13)*-4*3)**2) + -1.\nAnswer: -68*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzrrrgrrrgrrrrrzzr. Give prob of sequence zrzg.\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 + 122. Let x = -39 + j. Let o = -3.02 - -0.02. Which is the closest to -2\/7? (a) x (b) -2\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 198016026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*d**3*o + 2*d**3 + 531*d**2 + 131*d*o - d + o + 7 wrt d.\nAnswer: -102*d*o + 12*d + 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 41 (c) 0.6 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**2 + 3*p - 1. Let m be g(2). Let f be (-6)\/10 + (-69)\/m. Find z, given that 7*z**4 - 1 - 2*z + 3*z**3 + z**3 - 2*z**3 - 6*z**f = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/7392)\/((-157)\/(-1099))\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8795010 - 0.5.\nAnswer: -8795010.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5 = -4*r, 20*s + 8 = 18*s + 5*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o - 230. Let h(a) = -3*a + 116. Determine -5*h(i) - 2*n(i).\nAnswer: 3*i - 120","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1381 - 1294. What is the closest to w in 0.2, -1\/3, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 205 + -197. Find p such that -35*p**2 - r*p + 3*p**2 - 20*p**3 + 11*p - 24 + 73*p = 0.\nAnswer: -3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 10:44 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n + 3*n + 4*n + 4*n - 3*n + 5*n + (n - 3*n + 3*n)*(1 - 1 - 2))*(-3 + 6 - 2) to the form c*n + j and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2 + 128*t - 127 = 0. Calculate t.\nAnswer: 1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/5)*s**0\/s)\/(s**(-2\/23)\/s**(1\/4)) assuming s is positive.\nAnswer: s**(339\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 60, 130?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2. Let s(z) = z - 72670. Give s(h(g)).\nAnswer: 4*g**2 - 72670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 99*r**2 + 413*r + 108. Calculate d(-103).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36912000 rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2370 - -654?\nAnswer: -1817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*k = -80*k - 66. Solve k*c - 3*f = -9, 17*c + f = 15*c + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 3)*(-2 + 2 + o**4) - o**4 + 0*o**4 - 3*o**4 + (2*o**4 + o**4 - o**4)*(3 + 1 - 6) to the form b*o**3 + r*o**4 + k*o**2 + v + l*o and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n = -35*n - 687. What is the remainder when n is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 1007*t + 1. Let y(l) = -3047*l - 3. Calculate 7*w(u) + 2*y(u).\nAnswer: 955*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**2. Let r(f) be the first derivative of -3*f**2\/2 - 34. Give r(x(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-3 - (-22)\/(-6)). What is the greatest common divisor of 50 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 1 - 8*l - 5 + 4*l. Give n(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26521 + 158141 = 244*h - 533918. Calculate the smallest common multiple of h and 1085.\nAnswer: 20615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-six fifths of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -49, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -101101111100?\nAnswer: 101101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**17*u)\/u*u)\/u*u*u**(-9\/5)*(u\/(u\/(u**5\/u)))**19 assuming u is positive.\nAnswer: u**(296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7915 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541272 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1258010000 to the nearest one million.\nAnswer: -1258000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118687*o - 512 = -118695*o. Put 3, -0.4, o in descending order.\nAnswer: o, 3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/218446 and 39\/2285?\nAnswer: 1092230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k - 1040 = -5*d, 5*d = -3*k + 3150. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 - (-1 - 3) - -7. Sort 1\/2, r, 4 in ascending order.\nAnswer: 1\/2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247458829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21500 + 22422.1. Round z to the nearest ten.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q - 6. Let f(a) = -a + 1. Let m(b) = -5*f(b) - u(b). Suppose -2*y - 3*y + 85 = 0. Suppose 4*w - g + y = 0, 4*w - g = -2*g - 15. Determine m(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 87*a = 2920. Solve b = -9*b + a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -4*u - 12, 5*u + 15 = -9*i + 12*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 0 + 3*i - 1 - 2*i. Let r be 10\/4 - -2*2\/8. Calculate l(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14612, 29092, 43572, 58052, 72532, 87012?\nAnswer: 101492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2722 - 1087. Which is smaller: m or 1637?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1875)\/(-234) + (-4 - -1) - 4 and -83\/22.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c + c + 64*c**3 + 5*c.\nAnswer: 64*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to 876900?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2081, 2084, 2089, 2096, 2105, 2116, 2129?\nAnswer: 2144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from {k: 2, e: 1, g: 1, z: 1, x: 1, r: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 525, -4, -3, 2, -146 in increasing order.\nAnswer: -146, -5, -4, -3, 0, 2, 525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 35*j**2. Let y(f) = -f - 4. Let s(g) = 88*g**2 - 10*g - 40. Let r(a) = s(a) - 10*y(a). Determine r(k(x)).\nAnswer: 107800*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -65. Suppose k*u + 1736 = 22*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29791 in 135\/2, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gttz when four letters picked without replacement from {g: 1, d: 1, z: 5, t: 3, p: 4}.\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2 + 25*f + 8*f**2 - 19*f**3 - 10*f**2 wrt f?\nAnswer: -114*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15743.80945 to the nearest 100.\nAnswer: 15700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -629950\/9 at most -69993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d + -b4?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6 = m + 2*m, -r = 3*m - 2. Solve 3*l + 15 = -m*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2367, 4505, 6621, 8703, 10739, 12717, 14625, 16451?\nAnswer: 18183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1206222 is divided by 33?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 1 - 7) + -2 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54*n**4 + 2526*n**2 + 154*n**2 + 55*n**4 + 5094 + 5216 wrt n.\nAnswer: 4*n**3 + 5360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -1\/5, 5, -0.175?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g. Let k be -1 + 1 + 0 + -2 + 2. Let r(l) be the first derivative of -1 + k*l + 1\/2*l**2. Determine r(z(b)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10168 is divided by 363.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4893*a + 4656*a + 5451 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.667 + -1.637. Let i(n) = -n**2 - n + 3. Let f be i(0). Sort -2, j, f in decreasing order.\nAnswer: f, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 268460326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -48*j + 40*j. Suppose 88 = j*r + 22. Solve -n - r = -4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1100) + 2*sqrt(1100)*4) + 2)**2 + 5.\nAnswer: 1800*sqrt(11) + 2227509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(275\/10)*-5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2368*u + 4349. Calculate p(2).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -3, -2\/3, -229 in decreasing order.\nAnswer: -2\/9, -2\/3, -3, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3))**(-2)*z**7\/z**11 assuming z is positive.\nAnswer: z**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(120) + -1*sqrt(120) + sqrt(120) + sqrt(120) + sqrt(270)*-1))\/(3*(sqrt(294) - ((sqrt(294) - sqrt(294)*-1) + sqrt(294))*2)).\nAnswer: -sqrt(5)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 20\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 37 = -5*k. Let o = -4 + k. Solve -z - z + o = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 2)*(-1 + 4 - 5) + 0 + 3 - 4)*(-3 + 2*d + 3).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - u - 16 = 0, 2*x + 11*u + 6 = 10*u. Suppose -2*v - 2 = 2. Let s be ((-3)\/v)\/((-18)\/(-48)). Sort x, s, -3 in decreasing order.\nAnswer: s, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-1)\/(-1))\/((-6)\/(-42)*-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 4368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/35 + (-1863)\/(-15). Suppose 11*g + s = 6*g. Let x = g - -26. Is 3 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60447348 = 2*l + 50046292. Let v = -31546820 - l. What is v rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 1. Let y(r) = r**2 - r + 1. Let h be (4 - 7) + 0\/(-1). Give h*j(a) + 3*y(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -1125?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6725269 a multiple of 1087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2378*j - 7155*j + 2386*j + 2382*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.213458t?\nAnswer: 6213458000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2248238 or -2248233?\nAnswer: -2248238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4823 greater than or equal to -1\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*(j**(-1)*j)\/j)\/(j**1\/j)**22 assuming j is positive.\nAnswer: j**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/41 in -0.2, -2, -1\/4, -134?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/4788 and 185\/6384.\nAnswer: 19152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 48141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**2*r**2 - 31*c**2*r - c**2 - 110*r**2 wrt c?\nAnswer: 2*c*r**2 - 62*c*r - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -19*c + 3. Let b(f) = -f. Determine 6*b(d) + u(d).\nAnswer: -25*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4\/4 - 2863*h**3\/2 + 8196769*h**2\/4 = 0. What is h?\nAnswer: 0, 2863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrgggggggr. Give prob of sequence rrrg.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-48)*-4*4\/3\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 2*d - 9 = -2*v, 4*d = 3*v + 21. Let m(r) = -r**2 + 4*r - 5. Let p be m(4). Sort 2, d, p, -1 in descending order.\nAnswer: d, 2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 75446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26655609131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.88 + 0.12. Let w = y + -3. Let i = w + -1.5. What is the smallest value in 1\/5, 1\/6, i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 - 11*h**3 + 2*h**3 + 2 - 2*h**3 - 2 + (-2*h + h + 0*h)*(3*h**2 - h**2 - 3*h**2) + 0*h**3 - h**3 + 4*h**3.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1390*y**2 + 7*y + 2. Let i be h(-6). Round i to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905 greater than 905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -254, -367?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 20 = -5*c, 4*c + 0*c = 0. Suppose -3*u = 2*u - 15. Suppose 1 + 5 = -u*b. Put 5, b, v in descending order.\nAnswer: 5, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0 + -1 + 3. Let n = 2.972 - -0.028. Which is the third biggest value? (a) -2 (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34485 divided by -5?\nAnswer: -6897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 2 = -8*f. Suppose 36*c - f = 35*c. Let r be (44\/56 - c\/14)*6. Solve s = 4*d + 22, -29 = -2*s + 2*d + r*d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -286, 4360, 13938, 28448, 47890, 72264?\n\"Answer: 2466*y**2 - 2752*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a meter in centimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 20*d**2 - 76*d + 48. What is the remainder when q(15) is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + g = 5*g + 32, -5*f + 40 = -2*g. Suppose 2*j + 4 = f*j. Differentiate j + 2*v + 0 - 3*v with respect to v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/27341874 and -137\/1134.\nAnswer: 27341874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.38, 3, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -184 - -174. Put j, 4, 9 in ascending order.\nAnswer: j, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 85423055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 + 35*y**3 + 281 + 260 + 291 - 831.\nAnswer: 39*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 6 + 3 - f**4 - 2*f + f**3 to x + d*f**3 + w*f**4 + m*f + s*f**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -323.6 take away 9398294?\nAnswer: -9398617.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from errezee. What is prob of picking 1 e and 1 z?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*w + 2*w**3 + 12 + 39*w**5 - 8 - 5 wrt w.\nAnswer: 780*w**3 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 11*x**2 + 35*x + 147. What is y(-12)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 - 308380*a**3 + 308375*a**2.\nAnswer: 5*a**2*(a - 61675)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17514.5 - 17514. What is the third smallest value in 1\/3, 23, f, -12?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 391 (base 12) to base 4\nAnswer: 20131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 283868619 to the power of 1\/3, to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 130 - 122. Suppose 12*j + 4*r = v*j + 26244, 3*r + 6 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212136 is divided by 1351.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -10*p - 2*s + 6556, -3*s = 4*p - 6558. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - u. Suppose -2*w = -2*j - 6, u = -4*w - j - 4*j - 6. Sort w, 0, -3 in decreasing order.\nAnswer: w, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -6 - (-1 - (14 - 13))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129\/3095 or 0?\nAnswer: -129\/3095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10984 + 10982. Let r(h) = 2*h - 9. Let t be r(7). Let x = -2.1 - -2. Which is the third smallest value? (a) t (b) s (c) -2\/13 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**2. Let l(w) be the first derivative of -3*w**2\/2 - 4*w - 5. Let n = -9 + 10. Let x(d) = -1. Let c(q) = n*l(q) - 4*x(q). Determine c(k(r)).\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145 - 139. Suppose -5*j = 4*h + 1764984, y*h = 4*j + 5*h + 1412004. What is j rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4*j - 1\/2*j**2.\nAnswer: -j*(j - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159908282\/3 less than or equal to 53302761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 8*g - 2195. Let b be m(-43). Does -72\/31 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 70 - 594. Suppose r + 32 = 6*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.4, 3, -29, -0.4, -0.3 in decreasing order.\nAnswer: 3, -0.3, -0.4, -2.4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/15))**(-5\/4)*a*a**12*(a*a**(-15)\/a)\/a assuming a is positive.\nAnswer: a**(-49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*v - 5*x, -5*v + 11 = -2*v - 2*x. What is the highest common divisor of 7 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 13003*o - 27. Let d = -21 - -36. Suppose 0 = -5*q + 30 + d. Let b be z(q). What is b rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - x**3)*(-5*x + 3*x + 3*x) + (2*x**4 + 2*x**4 - 7*x**4)*(0 + 1 - 3) + 3*x**4 - 4*x**4 + 3*x**4 - x**4 + 3*x**4 - x**4.\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*t + 350. Suppose -73*p + 12 = -t*p. Suppose p*c - 2 - 6 = 0. Solve 0 = -k - c - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*m - 10. Suppose 5 - 3 = z - 5*h, 0 = -4*z - m*h + 8. Solve -2*n = -3*n + s - z, 6 = -4*n + 3*s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 18*s**5\/85 - 1293*s**4\/34 - 880*s**3\/51 + 1148*s**2\/17 + 1152*s\/17 + 632. Solve u(c) = 0 for c.\nAnswer: -2\/3, 1, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 0*v - 5*v + 784, 3*v = 0. Suppose -4*g + l = -72. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -140, -211, -284?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4285763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + ((-12)\/4 - -1). Calculate the highest common factor of 14 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -7 - 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4\/962517 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*b - 41, 154 = -4*j - 3*b + b. Let l = 28 - j. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7849382 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 718*x**3 - 5*x**2. Let m(r) = -7540*r**3 + 52*r**2. Determine 5*m(d) + 52*o(d).\nAnswer: -364*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -3. What is the greatest common factor of v and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1551 is divided by 87?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 72961481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((10824\/(-18))\/4 + 1)*-3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 19 - 13 = -5*a, 10 = a + t. Solve 6*o = 7*o + b, 0 = -a*o + 3*b + 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*q + 4. Suppose 4*a + 21 = 7*a. Let o = a - 5. Solve o*c = -5*d - 6, 5*d + 12 = -2*c - q*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 145\/(-15) + 1212\/303?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 274, 735, 1514, 2689, 4338, 6539, 9370?\nAnswer: 12909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(190)\/sqrt(5))\/sqrt(2) + -1 - (-2*(sqrt(19) + sqrt(57)\/sqrt(3))**2 - (0 + sqrt(1539))).\nAnswer: 11*sqrt(19) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**4\/2 - 2*w**3\/3 + w - 2. Suppose s + 15 = -4*s. Let i be (s - -4)*(0 + -1). What is m(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) + (-210)\/49. Let c be 4 + r + 4 + -4. Is c <= 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 1. Let m = s + -6. Suppose -3*h = -n - 1, 3*n = n + m*h + 18. What is the remainder when 40 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21720, 22991, 24274, 25575, 26900, 28255?\nAnswer: 29646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 4*o + 2. Let v(d) = -15*d**2 - 3*d. Let y(r) = j(r) - v(r). Let w(h) = 7*h**2 + 4*h + 1. What is 5*w(s) - 3*y(s)?\nAnswer: -7*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 k when three letters picked without replacement from {p: 10, k: 3, u: 1, g: 2, n: 1}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 336555055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 46092*t**2 + 46101*t + 92190.\nAnswer: -3*(t - 2)*(t + 1)*(t + 15365)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eekemveckmeeeecced. Give prob of sequence kcd.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 0, 8, -112, -32 in decreasing order.\nAnswer: 8, 4, 3, 0, -32, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -335 - -336. Does 35 divide 1 - (-1668)\/24*i*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(3\/10)*f)*f**7\/f)**(-13\/4)\/(f\/((f\/f**(4\/3)*f*f)\/f)*f*f*f*f**(-3\/5)*(f\/f**(-1))**1) assuming f is positive.\nAnswer: f**(-2791\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(sqrt(208) - (-3*sqrt(208) - sqrt(208)) - sqrt(208)))\/(sqrt(4) - (sqrt(576) + sqrt(576) + sqrt(576) + sqrt(576)*1) - sqrt(36)*5).\nAnswer: -72*sqrt(13)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2899*i + 11580. What is c(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*((3*sqrt(208) + sqrt(208))**2 + (sqrt(832) + 1)**2).\nAnswer: -8322 - 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1164303680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/26 - (-6)\/39. Let l = -8.03 - -8. What is the third biggest value in -1, x, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 208, -0.02, 0.2.\nAnswer: -0.02, 0.2, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*x + x**3 - 3*x**3 - 18*x + 5*x**2 in the form r*x**3 + p + u*x**2 + k*x and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.758131nm to millimeters.\nAnswer: 0.000000758131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.4 and 0.16?\nAnswer: 4.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2. Let s(x) be the first derivative of x**5\/30 + 9*x**4\/2 - 3*x**2\/2 - 40. Let b(d) be the second derivative of s(d). Determine b(y(h)).\nAnswer: 2*h**4 + 108*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 4 = -4*d. Let b = d - -8. Suppose 2*h - b = -h. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40 and 10180881.\nAnswer: 407235240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124904*o + 2592 = -125012*o for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - s + 10*s + 163 = -5*i + 16*i + 16, 23*i + 3*s = 46 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j - 21. Suppose 2*i + m = -6, 0*i + 3 = -i + m. Let o(t) = 2*t - 7. Calculate i*u(n) + 8*o(n).\nAnswer: -2*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131 (base 4) in base 10?\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*j - 77*j + 182 = -742 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 32 - 53 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a4915048 - 5?\nAnswer: -a4915052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/7 (b) -4 (c) 0.3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c. Let n(l) = -2910*l - 11. Give n(b(m)).\nAnswer: 11640*m - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 7*s = 2*s - 24, -3*s = 174*o - 189*o - 27 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**4 + 3*m + 7 - 6 + 0*m - 3*m**2 to d*m**3 + c*m**4 + l*m**2 + g + f*m and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -38*t - 36*t - 10 - t**2 - 39*t - 28*t - t**3 + 151*t. Give a(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1567, -1566, -1565, -1564, -1563?\n\"Answer: l - 1568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 2 - 3)*(-1567 - 403 + 209)*(4*v + 2*v - 7*v)*(-1 + 0 - 1) to j + g*v and give g.\nAnswer: -7044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1276 and 216920.\nAnswer: 216920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 2 + 2 + 1 - 1 - b**2 + (6*b - 7*b + 15*b)*(b + 4*b - 4*b) as f*b**2 + o + h*b and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 - -0.11. Which is the closest to 1\/2? (a) -2 (b) j (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 102*s**3 + 2910*s**2 + 15*s - 3105. Let i(c) = -13*c**3 - 364*c**2 - 2*c + 389. Let v(o) = -39*i(o) - 5*m(o). Find h, given that v(h) = 0.\nAnswer: -118, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/9 - 240866*w**3\/9 + 3223161760*w**2\/3 - 129397051856384*w\/9 + 129387382611968\/9.\nAnswer: 2*(w - 40144)**3*(w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmzm when four letters picked without replacement from {m: 3, l: 1, x: 1, h: 3, a: 1, z: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -194*u - 1521 - 807 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 3*c - 124 = 4*x, 2*c = 2*x + 40 + 38 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26489?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/5 of a millennium?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2031, 8187, 18451, 32823, 51303, 73891, 100587?\n\"Answer: 2054*j**2 - 6*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 109, -5, 0, 3 in increasing order.\nAnswer: -5, 0, 3, 5, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-4)\/(-40))\/(41\/((-109060)\/56))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 70358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o + 8. Let s(x) = 51*x + 81. Let a(b) = 2*s(b) - 21*y(b). Suppose -k = 4*k - 30. Let r(z) = -6*z - 11. Calculate k*r(i) - 11*a(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 3*r. What is i(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + 5. Let r(y) = 2*y - 1. Let l be r(2). Calculate the remainder when k is divided by 94\/4 - l\/6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 - ((-3 - 33) + -8)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (154\/315)\/((-1)\/3). Let i = -9\/5 - n. Which is the nearest to 0? (a) 0 (b) 3\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9658.722 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -888 - -893. Solve 35*t = 36*t - k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7154034, -14308068, -21462102, -28616136, -35770170, -42924204?\n\"Answer: -7154034*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20722036 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-42))\/((24\/9)\/(-4))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21305, -42790, -64275, -85760?\n\"Answer: -21485*l + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve k - 25*a + 27*a = -1, 7 = -2*k + a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 6*g + 4*g)*(2*g + g - 4*g) + 6*g**2 - 3*g**2 - g**2 - g**2 + 3*g**2 - g**2 + 3*g**2 + 2*g**2 - 2*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 14*n**3 - 10*n**2 - 7*n + 5. Let m(f) = 7*f**3 - 4*f**2 - 3*f + 2. Give -2*d(h) + 5*m(h).\nAnswer: 7*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*x**6 - 2*x**4 - 20925*x**3 + 67*x**2 + 1622 wrt x?\nAnswer: 2520*x**3 - 48*x - 125550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.6 - 0.6. Suppose 157*w - 10 = 159*w. Let u be w - (-56)\/9 - 1. Which is the nearest to u? (a) -4 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -10*v + 19. Let j be g(2). Let z = -10 - -14. Let a = 7 + -12. Put j, z, a in decreasing order.\nAnswer: z, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8160 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -8*v + 4*v. Let m = -3 + v. Suppose 2*u = -m + 5. Solve u*k - k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -47 (b) -0.5 (c) 0.3 (d) -9.4 (e) 3 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1612 - -1617. Let d(s) = s**3 + 10*s**2 + s + 14. Let r be d(-10). Solve 0 = -2*c - n*l + r, 0*c - l - 1 = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -14*w**2\/11 + 256*w\/11 - 72\/11 = 0.\nAnswer: 2\/7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1882, 1901, 1946, 2029, 2162?\nAnswer: 2357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -9 + -1 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x - 6804. Let r be x\/(-24) + (-6)\/(-4). Let p be r\/18*9\/2. Solve -4*d + 23 = k, 6*k - 3*k = -3*d + p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l. Let j(p) = p + 10. Let g be j(-7). Let r(k) = -3*k. Suppose 0 = -i + 2 - 0. Give g*r(a) + i*c(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilometer in meters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)*4 - -2*(3 + sqrt(5)))*-5)**2.\nAnswer: 13800*sqrt(5) + 265400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -556 + 953. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*n + 30 = 0. Suppose f = -0*f + n. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 3, -845, -5, 2, 1 in decreasing order.\nAnswer: 3, 2, 1, -5, -27, -845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7*v + 10 = -3*v, 2*v = 5*q + 9. Let j be 0 - 0 - (-7 + q). Differentiate -3 + 29 - 8*h**3 + j*h - 8*h with respect to h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-16 - -58)\/(333\/2) and 149\/240.\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/7, 1, 359, 3\/116 in increasing order.\nAnswer: -2\/7, 3\/116, 1, 3, 359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2. Let u(x) = -20920056*x. Determine n(u(z)).\nAnswer: -437648743043136*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -645 + 1279\/2. What is the common denominator of (7\/34)\/((-2)\/28) and d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*(825\/255 - 3).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njtitjnbtvj. Give prob of sequence ivt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 0*k**2 + k**4)*(-44*k - 752 + 752).\nAnswer: -44*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -529 (base 10) in base 11?\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -84, -0.1 in ascending order.\nAnswer: -84, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13568*l + 27133*l - 13576*l = 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**4 + 3*b**2 + 1 + 0 + 1 + 3*b**3 + 27*b - 26*b to the form z*b + i*b**3 + q*b**2 + t + y*b**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -163 + 198. Calculate the remainder when 128 is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1628 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 423 divided by -1518\nAnswer: -141\/506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -914*b*j**2 - 20*b*r**2 + 919*j**2*r + 6*j*r**2 wrt b.\nAnswer: -914*j**2 - 20*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q - 3*q + q)*(4 - 1 - 1) - 691*q - 932*q + 335*q)*(-3*q**4 + 4*q - 4*q).\nAnswer: 3882*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 1 + (5 - 3 - 1)*(1 + 0 + 1))*(4*w**3 + 4*w - 4*w) to the form q*w**2 + a*w + x*w**3 + k and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 79140727241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 12324 = -3154. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from yyhpilpprypiyyyyrrpy.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 117 - 96. What is the remainder when l is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 36 - 3*z - 34 - 13*z**2 + 41. Let s be k(13). Solve s*d = -1 - 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 1\/6*k**3 - k**2 - 2*k + 0 - 1\/20*k**5 + 1\/2*k**4. Let b be q(6). Solve -5*d - 25 = 0, -d = -3*t - 0 - b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*f**2*p**2 + 42733*f**2 - 51*f*p**2 + 271260*f*p wrt f.\nAnswer: -80*p**2 + 85466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -2\/9*j**3 + 8 + 0*j - 1\/6*j**2 - 1\/12*j**4. Factor z(q).\nAnswer: -q*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 379 divide 45101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 + 66. Suppose 3*d - 21 = -2*p + p, -5*p = -2*d + 14. Let n = d - 2. Solve 10 = -n*c, 0 = 5*y - c - 8 - v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*21\/28*(10\/(-2))\/75.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1829, -624, 5 in decreasing order.\nAnswer: 1829, 5, -624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a decade in months?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -39*f**2 + 13*f - 7. Let r be (-104)\/18 - 24\/108. Let o be x(r). Let l = 46 - o. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (4 + -8) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 5306*w**2 + 235048*w + 855424.\nAnswer: 2*(w + 4)*(w + 41)*(w + 2608)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66375803\/633 - -104859. Does 1 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -62, 5, -13 in increasing order.\nAnswer: -62, -22, -13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i**3 - 129*i**2 + 140*i - 11. Let k(t) = 2*t**3 - 44*t**2 + 48*t - 4. Calculate 11*k(z) - 4*s(z).\nAnswer: -2*z**3 + 32*z**2 - 32*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152017399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, -1.1, -3, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*w - 5*d + 28 = -306*w, d = -5*w + 23 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 41. What is the hundreds digit of 0 - x - 3 - -151 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**2 - 4*f**2 + 2*f**2 - f - f**2 + f + (8*f + 11*f + 26*f)*(-3*f + 0*f + 2*f) to k + c*f**2 + i*f and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 17, 31, 59, 107, 181, 287?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 4*y**2 + 4. Let k be l(-4). Suppose b + k*g - 2*g = 34, -3*b + 117 = g. Is b a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 225342?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(78)*4)\/sqrt(6) - (5 + sqrt(13) + 2 - sqrt(13))) + sqrt(208)*-2*5*-1)*6)**2.\nAnswer: -22176*sqrt(13) + 907812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6311 + -6256. Calculate the remainder when 657 is divided by d.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, -252, -3, 0.1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1071 - 4?\nAnswer: 106a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-1\/21)\/a)\/(a*((((a\/a**(-2\/25))\/a)\/a)\/a)\/a*a*a))**37)**10 assuming a is positive.\nAnswer: a**(-4958\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -37. Suppose 4 = 5*l + 2*h, y*h + 7 + 5 = 0. Let s = 50 - 35. Solve l*o + s = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1652730?\nAnswer: 2, 3, 5, 89, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 258 + -178. Let v be g\/(-182) - (-4)\/14. Let k = 6617 + -59551\/9. Which is the second biggest value? (a) k (b) -0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1271 - 697 = 26*l - 67*l. What is the smallest common multiple of l and 0 + 10 - (8 + -6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -o, 0*i + 2*i = 2. Let h(z) = 2*z - 4. Let y be h(o). Suppose y*s - 12 = -2*s. Solve -10 = -s*x - 2*x + 3*k, -x - 2*k = -15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 1 - (45 + -44)) + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**3\/6 + 23*o**2\/2 + 4*o. What is the tens digit of g(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 975 is divided by 887?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from oxooxorzxrx?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 782*m = 804*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 1. Let v(h) = -3*h - 2. Let m(q) = 6*l(q) + v(q). Let w be m(-3). Is (-12)\/w*(-40)\/(-3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -50*q**2 - 252*q - 9. Let h(c) = -92*c**2 - 510*c - 17. Determine 6*h(r) - 11*j(r).\nAnswer: -2*r**2 - 288*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1805 - 1805. Determine z, given that -7\/5*z**4 - z**3 + 0 + 2\/5*z**2 + o*z = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**4\/2 + 77*r**3\/3 + 20*r**2 + 77*r + 1799. What is b(-38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*h**2 + 13*h**4 - 37*h - 27*h**2 - 418*h - 15*h**4 - 47*h**2 wrt h?\nAnswer: -24*h**2 - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 644554 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 55, 119, 197, 295, 419, 575, 769, 1007?\n\"Answer: c**3 + c**2 + 54*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -440, -883, -1330, -1781?\nAnswer: -2236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:26 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1197\/5 + 239. What is the nearest to q in -1\/9, -1, -5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d - 4. Let i be v(7). Suppose -2*g + 640 = 5*p, 0*g - 1573 = -5*g + p. What is the greatest common divisor of g and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d + 6. What is the tens digit of q(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1489 is divided by 83?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gthghwhhthggh. What is prob of sequence tth?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -67, -821, -2961, -7213, -14303?\n\"Answer: -121*i**3 + 33*i**2 - 6*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9033*d - 18034*d + 8993*d + 2. Let g(w) = 21*w. What is g(q(i))?\nAnswer: -168*i + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -124*f**2 + 787*f + 340996?\nAnswer: -248*f + 787","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -27*z**3 + 51*z**2 + 11*z - 24. Determine x(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {g: 4, w: 1, r: 2, c: 10}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*r - 62, 0 = -2*u - 4*r - 34 + 90 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2 - (-2)\/1. Suppose 3*p + 2*d + 2*d = 422, 0 = 4*p + d - 554. Suppose -c*r + 5 = -3*t - p, -3*t - 15 = 0. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 2\/7, 13, -1\/140, -8?\nAnswer: -1\/140","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3370 is divided by 130.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 100, -4, 22 in decreasing order.\nAnswer: 100, 22, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/22 + (2 - 1).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -155 (b) 782 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23\/443561 or -1?\nAnswer: 23\/443561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 444 + 8\/6 + (-10)\/(-15). Does 27 divide (u\/2)\/(-5 - -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 62\/(-28) - (44 + 13158\/(-301))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 8214*v - 16867449.\nAnswer: -(v + 4107)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + 2 + (sqrt(500) + 1)**2*-3*4.\nAnswer: -6018 - 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052 - -246.44?\nAnswer: 246.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55574 (base 12) in base 15?\nAnswer: 237bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 46*t - 99. Calculate l(4).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 88 - 17. What is the least common multiple of n and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (54\/24 - 2)\/(4\/160). Is (-28188)\/(-16) - o\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2 - 11*r - 320. Let s be l(0). Let h be (s\/(-128))\/(1\/2). What is the smallest value in -4, -0.08, h, -0.05?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a + 22?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*j - 214 + 10456. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4 + 2. What is the remainder when 36 is divided by (-194)\/(-10) + a\/5?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = f - 64, 3*f = 2*q + 217 - 3. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2081 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*h - 12 + 12. Suppose h*r + 1910 = 5*r. Suppose y - r = -5*u, 3*u + 1471 = 4*y + 4*u. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from aaarcraaraaar?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.3. Let q be (2\/6)\/(4\/(-12)). Let l be (q + (-2)\/(-6))*1. Which is the smallest value? (a) -3 (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36 and 1\/2 - 1474\/308.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8890.0821 minutes in days?\nAnswer: 6.173668125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((40131\/728)\/49)\/((-120)\/(-64))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394 - 4639*s + 394.\nAnswer: -4639*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 54*u - 595. What is the remainder when 464 is divided by v(37)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -437 + 420. Let r(z) = z**3 + 6*z**2 + 26*z + 39. Let q be r(u). What is q rounded to the nearest 100?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865247499 a multiple of 1874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.30856 nanometers in centimeters?\nAnswer: 0.000004130856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -3*h + 5*z, -h - 20*z = -22*z - 35. Calculate the lowest common multiple of h and 335.\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10268033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**2 - 3*a**2 - a**2)*(-a + a**2 + a + (-a - 2*a + 2*a)*(-5*a - 4*a + 2*a)) to s*a**4 + d*a + w + f*a**2 + z*a**3 and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 33\/(-18) - (-1)\/(-6). Let l(k) = -k**2 + 5*k - 1. Let j be l(2). Sort g, j, -4 in increasing order.\nAnswer: -4, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28014378 and 1029.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 3. Let s = -3 + o. What is the third derivative of -2*j**3 - 1 + s - j**2 wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6007209 microseconds in minutes?\nAnswer: 0.000000010012015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 10) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-19)*r*r*r)\/(r**(-16)\/r)*(r**(4\/5))**(-2\/31))**11 assuming r is positive.\nAnswer: r**(1617\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335 + 151 = -23*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 792 divided by -72\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -4*o + p, -4*p - 417 = 5*o - 385 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132465 (base 7) to base 10.\nAnswer: 24939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 8:00 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*1.7.\nAnswer: -32.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -14*y - 20. Let b be (-3 + 3 + 2\/(-4))*12. Let j be m(b). Suppose 78 - j = 2*d. Solve -3*x = -3*r - 3, d*x - 8 = 3*x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 9. Let h be 10\/14*a\/(-45). What is the third biggest value in -4, 2\/7, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 11*l + 62. Calculate v(-15).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 1645*n**3 - 2*n**2 + 3*n - 1. List the prime factors of g(1).\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = -3*r, -5*y - 3*r + 15 = -11. Let x be 2*(3 + (-2)\/(-4)). What is the highest common divisor of y and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2020*b - 975*b - 1045*b + 275*b**2.\nAnswer: 275*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r = 0. Suppose 3*b = -r*b. Suppose -n + 3*n - 10 = b. Solve -4*u - u = -n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9068 take away 0?\nAnswer: 9068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 34*r + 77. Let n = 578 - 561. What is the hundreds digit of g(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 0 + 15*s**2 + 0*s + 0*s**3 + 1\/150*s**6 + 2\/75*s**5 + 0*s**4. Factor h(v).\nAnswer: 4*v**2*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/10 - 56*m**3\/5 - 46*m**2 - 232*m\/5 = 0. What is m?\nAnswer: -2, 0, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5381 - 13511. What is t rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 3)*(-2*f - 3*f + 3*f) - 4*f + 3*f + 0*f)*(-f**3 - 3*f**2 + 3*f**2).\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 4\/3)*0. Suppose -2*p = -t - 2. Let i(m) = -m**2 - 7*m + 7. Calculate the smallest common multiple of p and i(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10351?\nAnswer: 11, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3001740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -q + 3, 3*t - 18 = -3*q. Suppose -21*h - 64 - 20 = 0. Sort h, -5, t in descending order.\nAnswer: t, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4459*o - 4489*o - 750 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/3, -0.4, 7, -1\/14, -4 in increasing order.\nAnswer: -4, -0.4, -1\/14, 8\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence etu when three letters picked without replacement from {t: 2, e: 3, u: 1, q: 4}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 12, -5*v + 48*r - 162 = 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6, 23, 52, 93?\n\"Answer: 6*y**2 - y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b = 18*b - 12*b + 394525. List the prime factors of b.\nAnswer: 43, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011121111 - 12?\nAnswer: -1011121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -556231\/36652 - -258\/17. Let u = -97033\/28028 + x. What is the common denominator of -1*(344\/(-6))\/(-4) and u?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 4*k - 50 = -58, 0 = -2*u + 5*k + 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60308669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 124\/(-248)*(-3)\/((-3)\/344). Let s = o + 228. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4528, 14592, 31362, 54838, 85020, 121908, 165502?\nAnswer: 215802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*s = -0*h + 15, -5*h + 19 = s. Let v be (93\/(-9))\/(h\/(-72)). Suppose -y - v = -3*y + 5*a, -256 = -3*y - 4*a. Is 22 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -37, -18 in decreasing order.\nAnswer: -1, -18, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1253*b**2*j*y**2 + 426*b**2*j - 4*b**2 - 951*b*y**2 + 61*b*y - 1 wrt j?\nAnswer: 1253*b**2*y**2 + 426*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69160)\/(-2184)*2\/(-20))\/((-1)\/(-6)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41890 and 97822?\nAnswer: 34726810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 35 = 5*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65821280*a**3 - 368628*a**2 + 19 wrt a.\nAnswer: 394927680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k - 26. Suppose 0 = -2*j + 3*y + y + 136, -y = -5*j + 295. Calculate the smallest common multiple of j and l(8).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3*(-3 + 2). Let l*s**4 - s**3 - 1\/3*s + s**2 + 0 = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 + 2918?\nAnswer: 2918.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 36*m + m + 20*m + 3*m.\nAnswer: 60*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**2 - 2016*d - 338688 = 0?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 24 = -4*x + 8, 0 = 2*x - 2*j + 10. Let n = 7351\/1419 + -680\/129. Which is greater: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**3 - r**3 + 0*r**3 + (-2*r + 7*r**3 + 2*r)*(0 - 1 - 3).\nAnswer: -26*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2649, -4, 4, -5 in decreasing order.\nAnswer: 4, -4, -5, -2649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98*c**2*p - 12*c**2 - 4630*c*p wrt c.\nAnswer: -196*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4256.7 + 4258. What is the closest to 0 in 6, -5, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 + 1)*((-u - 2*u + 2*u)*(2 + 0 + 0) - 4 + u + 4)*(-3 - 4 + 0).\nAnswer: -35*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13688 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1496 divided by 1.\nAnswer: 1496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 110494 and 110697 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/9 + 104*v**2\/9 - 98*v\/9 - 68\/3.\nAnswer: -2*(v - 51)*(v - 2)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 13*d**2. Let y(m) = -3*m. Calculate v(y(g)).\nAnswer: 117*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 280*u + 58786. Calculate z(-210).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/78)\/((-5)\/40)*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 71*k - 2447. Calculate y(23).\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (3 - (4 + -3) - 9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4625 - 2925 = -68*y for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -22. Suppose -4*o - 524 = -i*y, 4*y - o + 2*o = 519. What are the prime factors of y?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12466, 7217, 1968, -3281, -8530, -13779?\n\"Answer: -5249*g + 17715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*n = -110, 17*o - 13*o - 114 = 3*n. Calculate the highest common factor of 730 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 36*j**2 - 681*j + 3090. Calculate q(7).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56687790 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*s + 2*x, -31 = -3*s + 3*x + 11. Suppose 0 = -k - k + s. Solve -i + 5*i = -4*y - 16, 0 = k*y + 25 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -202 + 206. Suppose 5*b - t + 4*t = 596, -d*b + 468 = -2*t. Is b 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 -33481670, -66963340, -100445010, -133926680, -167408350?\n\"Answer: -33481670*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 26. Suppose -557 + 857 = -20*r. Give s(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-14)\/(-6))\/((-35)\/(-8820))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*r = -4, -4*r = 58*t - 57*t + 8. Which is the nearest to t? (a) 2 (b) -1\/5 (c) -820\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46586, -93113, -139576, -185969, -232286, -278521, -324668, -370721?\n\"Answer: x**3 + 26*x**2 - 46612*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 232 = -4*c. Suppose 0 = 5*l + 62 + c. Let a = -16 - l. Calculate the greatest common divisor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 5*r = -12. Suppose 3*g - r*b = 51, -3*b + 5 = -g + 17. Is (2 - 2) + (g - 2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*f = 4*f + 14, 4*u + 4*f - 12 = 0. Let a(n) = 5*n - 5. Calculate the remainder when a(u) is divided by (-2592)\/(-162) + 1*1*-5.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3112754315 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3273 divided by 1091\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)*1)\/(sqrt(9)\/sqrt(3)*-4) - (sqrt(539) - (sqrt(539) - 2*sqrt(539))**2*-4)*-4.\nAnswer: 27*sqrt(11) + 8624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -289, -392?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in -1, 0, 2, -42, 0.0042?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 6, 3 in decreasing order.\nAnswer: 9, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 69 + 11*n**2 - 13 - 39.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 291*w**5 + 241*w wrt w?\nAnswer: 5820*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-30))\/((-18)\/(-50))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43 + 7?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 2*v - 31. Let u be w(-7). Suppose -3*r - 12956 = -n, -4*n + u*r = -47360 - 4472. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 834*s + 6864.\nAnswer: -3*(s - 8)*(s + 286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + a. Let o(d) = -14*d**2 + 3*d - 1. Let j(w) = o(w) - 3*v(w). Differentiate j(x) wrt x.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7281*c**2. Let l(i) = -2*i. What is z(l(y))?\nAnswer: -29124*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201075614?\nAnswer: 2, 23, 4371209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*16\/(-20)*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**4 + a**4 + 2*a**4 + (2*a + a + 3*a)*(-2 + 2 + 3*a**3).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpwx when four letters picked without replacement from {x: 1, y: 2, r: 1, c: 3, w: 3, p: 1}.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.07708188+-10078275\nAnswer: -10078275.07708188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 111 = -2305. Suppose 34 = -j - 100. Let o = j - k. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y = 20. Let x(h) = 2*h + 12. Let c be ((-45)\/(-36))\/(3\/(-12)). Let k be x(c). Solve 0 = -2*t + 5*w - y + 16, 2*t - k = 2*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -26006037?\nAnswer: 26006042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 261*x**4*y**2 - 7082*x**4 - 47*x*y**2 + 7*x - 1468*y wrt x.\nAnswer: 3132*x**2*y**2 - 84984*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*j**3 + 2*j + 3*j**2 - 137*j**3 - 2*j**2 + 1 + 6*j**4 - 2 to u*j + n + z*j**3 + d*j**4 + b*j**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkdqdqdqkdqqqkdq. Give prob of picking 1 q, 1 f, and 1 d.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6350.13622 - -6350. Let j = 0.134 + l. Round j to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*a**2*r**3 + a**2*r**2 + a**2 - 18*a*r - 2*a - 2*r**3 - 20*r wrt a?\nAnswer: 34*r**3 + 2*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**3 + l**2 + 41*l**3 - l**2.\nAnswer: 53*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 + 5*s**3 - s**2 - 13*s**2.\nAnswer: 5*s**3 - 21*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/28)\/t)\/t)\/t)**(-2)*t**(2\/41)*t*t\/(t*t*t**45\/t) assuming t is positive.\nAnswer: t**(-21825\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.44 + -43.56. Let w = p - -44. Put 0.5, w, -4 in ascending order.\nAnswer: -4, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 443 (base 7) to base 5\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 24 = 2*j. Let o be 155\/9 + j\/36. Solve -2 = -k - 2*h + 1, -4*k = 3*h - o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 11*b - 9. Let n be s(-10). Suppose 0 = w - 1 - n. Let v be -4 + ((-12)\/(-2))\/w. Which is bigger: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-15) + 9061\/123. What is the highest common divisor of f and 2257?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*t = -137*t - 184. Put -1, t, -5, -14 in increasing order.\nAnswer: -14, -5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3 + 7. Let c be (-4)\/40*6 - q. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213 * -490\nAnswer: 104370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 1, -5, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b**3 - 63*b**2 + 27. Let z(n) = -n**3 - 9*n**2 + 4. Let u be (-8 - 128\/(-20))*(-10)\/4. Give u*d(l) - 27*z(l).\nAnswer: 3*l**3 - 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -0.3, -1\/4 in increasing order.\nAnswer: -48, -0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 5*n = 15, 0 = 4*b + 8*n - 7*n - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxxbbbbbxbx. What is prob of picking 2 x?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11a (base 11) to base 14\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197644 is divided by 396.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/322872 or -1?\nAnswer: -13\/322872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4134, 4124, 4116, 4110, 4106, 4104?\n\"Answer: f**2 - 13*f + 4146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 51 = -d, -997*b + 1001*b = -4*d - 36 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5254 and 301324?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 134\/6*(598 + -10). Let w be 0 + (-8)\/(-2) - (i - -12). What is w rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-13) - (-48)\/26. Suppose 2*t = -i - 4200003, -a*i + 6299994 = -0*t - 3*t. What is t rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 9*o**2 + 8*o - 3. Let v be i(-8). Let z(y) = -y**2 - 5*y - 4. What is the lowest common multiple of 9 and z(v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7442671529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -5*w**4\/24 + 3*w**2. Let i(g) be the third derivative of 5*g**4\/24 - 170*g**2 + g. Calculate i(k(y)).\nAnswer: -25*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2. Let t(f) = 9*f. Suppose -5*c + d + d = 38, 4*c = d - 28. Let z(b) = -63*b. Let r(n) = c*z(n) - 45*t(n). Give m(r(x)).\nAnswer: 1458*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*r - 51 = 0, 4*z - 24 = -2*r + r. Let t(y) = -y**3 - y**2. Let o be t(-1). Let c = -2.23 + 1.93. What is the third smallest value in z, c, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**4 + 0*q**4 - 8*q**2 + q**4 + 3*q**2 wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, f: 13}. What is prob of picking 2 z?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (4 + (-2 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 566550229 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t - 10*t + 18 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3827 + -22855\/6. Find the common denominator of v and -34\/61.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1953.36, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/819148 and -13\/1400.\nAnswer: 286701800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136.24 + 133. Let u = s + -0.06. Round u to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 + 62 - 64 - z**3 - 2*z**4 - 53*z**3 - 22*z**3 + z to s*z**2 + v*z**4 + i + t*z + r*z**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25884940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*a - 4393, 2 + 4 = 3*g. Suppose 47*d - 49*d - 5*y + a = 0, 2182 = 3*d + 5*y. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*b = 446*b - 11291 - 33508 for b.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 8 - 98. Suppose 0 = 3*u + d - 24. Solve u*i - 4*k + 5*k - 3 = 0, 2*k + 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -560 + 1852. Calculate the highest common factor of 340 and q.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + y. Let q(c) = 3*c**3 + 6*c**2 - 3*c. Let a(r) = q(r) + 3*s(r). What is the third derivative of a(n) wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-3))\/(z*z**5*z))**(2\/115))**(2\/37) assuming z is positive.\nAnswer: z**(-12\/4255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*i + 1 - 3 + i**4 - 4*i to n*i**4 + d*i + y + w*i**3 + p*i**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41645 at most 42922?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25746 and 4904?\nAnswer: 102984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 6*i - 88. Let a be z(8). What is the greatest common factor of 132 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 8*v - 2. Let k be b(-6). Let g be ((-46)\/5)\/(2\/k). Let y = g + 68. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-6 - -3)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*h - 3620 = 52*h - 5*p, 5*h - 6095 = 4*p. Calculate the greatest common factor of h and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 11*f + 35. Calculate m(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -201.1 and -15.1.\nAnswer: -216.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-4)\/(8\/(-1))). Let z be 18\/x*16\/24. Suppose l = -t + 26, -z - 3 = -2*t. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -22 - (-15 + -38 + 25 + 25)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1156 + 1.1156. Sort -17.2, a, -3 in ascending order.\nAnswer: -17.2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 2:25 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02855222133443 + -0.148.\nAnswer: -0.11944777866557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -272 <= -153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6281 + -31404\/5. Let u(z) be the second derivative of 0 - 1\/60*z**4 + 5*z - 1\/30*z**3 + j*z**2. Let u(y) = 0. Calculate y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 52*c**3\/3 - 88*c**2 + 202*c - 154. Let k(o) be the first derivative of r(o). What is the derivative of k(g) wrt g?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-2))\/(2\/24). Let v be -2 - (0 - g\/2). Let c = 15 + -17. Put v, c, -3 in ascending order.\nAnswer: -3, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*d + 7*w + 9355, 4650 = 2*d + 4*w. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 25. What is the units digit of ((-9)\/6)\/(w\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.38? (a) -5 (b) -5\/12 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 - 3 - 242922*g.\nAnswer: -242922*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 110, 163, 216?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 38. Suppose -2*u = -2*s + 2*u + 4, 3*s - 5*u = w. Suppose -5*l = -s*k - 105, -2*k = k - 5*l + 80. What is the common denominator of k and -17\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dssdqssqsqxsqqss. Give prob of picking 1 x and 1 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 254138642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -277*v + 52*v - 9 + 9 to z*v + b and give z.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5, -16, -35, -52, -67, -80, -91?\n\"Answer: r**2 - 24*r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1636 + 0*c + 1835 + c)*(-3*c + 6*c - c).\nAnswer: 2*c**2 + 398*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgixh. What is prob of sequence hxig?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11201201232 (base 4) to base 3.\nAnswer: -2201120100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -72*y**3 - 4*y**2 - 7*y + 2. Let i(q) = 144*q**3 + 10*q**2 + 15*q - 5. Determine -2*i(d) - 5*p(d).\nAnswer: 72*d**3 + 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 3:28 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1095006*a**2 - 1094950*a**2 + 2189955*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1345*o - 1305. Give a(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g + 22*g - 16*g. Let y(p) = -2*p. Calculate y(l(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 + 5*z**3 + 12*z**2 + 0*z**2 - z**3 - 4*z - 8*z**4 - 8.\nAnswer: -4*(z - 2)*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10127 is divided by 10072?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 588121 divided by -435.\nAnswer: -588121\/435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234 divided by 78.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*t = 10, -n = -6*n - t - 14. Suppose -w - 10 = -4*w + 2*u, 0 = u + 2. Let i(y) = -54 + 54 - w*y**2. Determine i(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 106 - 86. Suppose 3*j + m = 7*j. Calculate the lowest common multiple of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4377084 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 - 17 = t. Calculate the highest common factor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 0*w**2 + 0 + 1\/6*w**4 - 5*w + 1\/4*w**5 + 0*w**3. Find the third derivative of n(s) wrt s.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**5\/60 + f**4\/8 - f**3\/2 - 8*f**2. What is s(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 36 = s. Suppose -s = -g - 3*g. Factor 2*w**5 + w**5 - 2*w**4 + 2*w - 4*w**g - w**5 + 4*w**2 - 2.\nAnswer: 2*(w - 1)**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + (-13)\/2 - 1\/2. Let o be (-404)\/(-12) - -4 - u\/6. Calculate the highest common factor of 418 and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-465\nAnswer: 32.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*g = -47, -w - 5*g = -0*g - 20. What is m in 5*m**4 + 17*m**2 + 24*m - w*m**3 - 9*m - 22*m**2 = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 10*s**2 + 2*s + 7. Let t be p(7). Suppose 0 = x + t - 56. Let g = x - -226. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 57*s**2 + 71*s - 1642. Let m(u) = 21*u**2 + 27*u - 547. Give -3*c(b) + 8*m(b).\nAnswer: -3*b**2 + 3*b + 550","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -63*c**3 - 402*c**2 - 134*c + 74. Let b(t) = 441*t**3 + 2814*t**2 + 939*t - 519. Let i(z) = 2*b(z) + 15*r(z). Suppose i(u) = 0. Calculate u.\nAnswer: -6, -2\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 11*v**2 + 625*v - 226*v)*(3*v**2 - v**2 - v**2).\nAnswer: 7*v**4 + 399*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 0*d**3 - 1\/8*d**4 - 2 - 1\/2*d**2 - 1\/120*d**6 + 1\/12*d**5 + 0*d. Let k(x) be the second derivative of q(x). What is k(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5142, -10269, -15396, -20523?\n\"Answer: -5127*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(4*(-3 + ((sqrt(847)*1 + sqrt(847) + sqrt(847))**2 - sqrt(847)))*-3 - 6*(sqrt(847) + 1 + 0 - (sqrt(847) + (sqrt(847) - -2*sqrt(847))**2)*3)).\nAnswer: 264*sqrt(7) + 45765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2774*d*s*v**2 - 1959*d*s*v - 3*d*s + 16*v**2 - 46 wrt v?\nAnswer: 5548*d*s + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 15 = -5. Suppose w*x - 6320000 = x. What is x rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 159. Suppose r = -2*i + 58, 9*r - 13*r + 112 = 4*i. What is the highest common divisor of b and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 1) + -19 + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*u = 59*u - n + 1264, -4*n = 4*u - 1024. What is the least common multiple of u and 28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Suppose 0 = -4*r + 7 - 3, 4*p = g*r + 90. Let i = 30 + p. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764*q = 763*q - 5*t + 15, 0 = -4*q + 5*t - 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156715116.\nAnswer: 2, 3, 19, 89, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*c = -13*w - 25*c + 59*c + 149, c = 2 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4398920 and -111\/4760.\nAnswer: 30792440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2911669?\nAnswer: 163, 17863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10265 take away 12944493457?\nAnswer: -12944483192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -4, -63, 5, 48.\nAnswer: -63, -4, -3, 1, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 250a073?\nAnswer: 250a07a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -390635 divided by 78127?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*l**3*s*v**2 - 65*l**3*v**2 + 23*l**3*v - 42*s*v**2 + 2*s wrt s?\nAnswer: -16*l**3*v**2 - 42*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**2 + 172*g - 64. Let p be z(34). What is the highest common factor of 2876 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = 12 + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 151*a**6\/30 - a**4\/3 + a**2\/2 + 7*a - 7. Find the third derivative of z(f) wrt f.\nAnswer: 3624*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 + 0)*(i - 2*i - 2*i)*(-5 - 1 + 4)*(1 - 6 + 2) in the form c*i + x and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -0.01. Let h = 312.99 - 311. Let z = h - r. Is z less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749027667 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 99861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*q - 0. Let r = 8 + -17. Let o = r - -13. Which is the smallest value? (a) o (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 312 and 1976.\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -102436 (base 14) in base 8?\nAnswer: -2046620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 0.046149.\nAnswer: -0.246149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(-12))\/6 - -3. Solve -3*v = -4*s - 7*v - 20, -5*v + 15 = -c*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**8\/16800 + l**7\/1260 + l**6\/225 + l**5\/75 + 7*l**4\/12 - 32*l. Let h(k) be the third derivative of g(k). Solve h(i) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*b - 165 = b, 3*c = 3*b + 81. What is the greatest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165508.\nAnswer: 2, 7, 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 + 797. Let h = -688.689 + c. Round h to two dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efe when three letters picked without replacement from eflerlfeetllefell?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 27 in descending order.\nAnswer: 27, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 - (-3 - (2 - 3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -14331343?\nAnswer: -14331333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 14531 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t + 3*u + 2, 5*t = 4*u + 18. Calculate the remainder when 3 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/22 + -8*6\/(-264). Which is the closest to o? (a) 2\/7 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7346953697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 597664 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*u - 52 = 100, f + u - 76 = 0. Which is smaller: f or 299\/4?\nAnswer: 299\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.6600028us?\nAnswer: 660.0028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 30 = -3*d, 2*d + 3*w = -3 + 8. Suppose 0 = 4*n - 5*q - 61, -72 = -5*n + d*q - 5*q. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26463 divided by 3\nAnswer: 8821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22510.05l in millilitres?\nAnswer: 22510050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = w - 5*b + 102, -216 = 2*w - b. Let v = 156 + w. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10530 by 1755.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 8 + 2)*(2 + 3 - 3)*(4*a**2 - 5*a**2 - a**2) as v*a + o + q*a**2 and give q.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 4. Let i = p - -6. Suppose -2*l + 28 = 3*z, -5*z + 2*l + 18 = -2. Solve -i*h - h = 5*n, n - z = -2*h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*w**2 + 0*w**2 + 4*w**2)*(-w - 3*w + 2*w) - 922*w**2 + 3*w**3 - 5*w + 922*w**2)*(1 + 3*w - 1).\nAnswer: -3*w**4 - 15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 - (5 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 7 = -23 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 12.3. Which is the closest to 0? (a) i (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u + 18*u - 264. What is the remainder when u is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 4*s + 7 + (15 + 12 - 19)*(-3*s + 3*s - s) - 3*s + 2 - 2.\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 650 and 16562.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 63*c + 2. Determine w(1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 5:13 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -1\/8*w**4 + 0*w + 0 + 216*w**2 - 7\/60*w**5 + 1\/3*w**3. Give t(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64617589 to the power of 1\/2, to the nearest integer?\nAnswer: 8039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**5\/4 + 5*k**3\/6 - 5*k - 14. Let r(d) be the first derivative of y(d). What is the second derivative of r(o) wrt o?\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 18. Let d be f(-9). Suppose d*l - 108 = -4*l. Calculate the highest common factor of l and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 9010968?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/12 - (-17)\/4. Let l(x) = -3*x + 10. Let h be l(u). Let d be 180\/27 - h\/(-3). Are d and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13560222\/1161 - 4\/(-18).\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 12) to base 8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -293 times -176?\nAnswer: 51568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a day in hours?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (43 - 7) + -10 - (1 - 15 - -7)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g + 3. Let o(q) = 3*q + 5. Suppose 26*z - 29*z = -156. Suppose -35 = -5*y - 2*x, -5*y - 2 = 5*x - z. Determine y*o(c) - 7*p(c).\nAnswer: c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6875414*p**3*u*w**3 + 10*p**3 + p**2*u*w - 3*p*u - 578*p*w**3 - 3*p - 18*u + 3*w**3 - 2*w**2 wrt p.\nAnswer: -41252484*u*w**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7*((-2506)\/98 - -25). Let b(u) be the third derivative of -1\/2*u**3 + 0*u + 0 - 1\/24*u**m - 35*u**2. Give b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - ((-112)\/25)\/2. Let h = -140 - -14001\/100. Let y = h + x. Which is the nearest to -1\/2? (a) y (b) 0.5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4727809m in centimeters?\nAnswer: 47.27809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-633)\/(-624138)*(3\/(-2))\/((-9)\/(-24)).\nAnswer: -2\/493","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144*(-147)\/672*(2 - (-80)\/(-28)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18559 + 72*c**2 + 18559 in the form n*c**2 + j*c + f and give n.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1329.8 - 1330. Which is the nearest to m? (a) 4 (b) 20 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -956, -4464, -10288, -18422, -28860, -41596, -56624, -73938?\n\"Answer: j**3 - 1164*j**2 - 23*j + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -9 + (-12 - -37)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n = 0. Let c(s) = 3*s**2 + 17 + s - 3 - 4*s**2. What is the units digit of c(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*f + 7*f - 2*d, 0 = -4*f + 3*d + 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 - 0.02. Which is bigger: 1.89 or i?\nAnswer: 1.89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 9511646*d - 190232120.\nAnswer: -2*(d - 4755803)*(d - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 19*c + 14. List the prime factors of l(-19).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 50 = -x, u + 6235*x = 6234*x + 10 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2064002634 - -0.2064. Round v to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**5\/60 - j**4\/6 - j**3\/3 - 7*j**2. Let t be o(3). Sort t, -3, -2 in descending order.\nAnswer: -2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 84307, 84299, 84291?\n\"Answer: -8*b + 84315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 6. Let q be k(-3). Let f = -5 - -7. Let t(m) = 4 - q + 2*m + 1 + f. Calculate t(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.9 - 120.9. Let l = 111 + m. Which is the second smallest value? (a) 4 (b) l (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103245 - -9291917\/90. What is the common denominator of b and -11\/2150?\nAnswer: 19350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205402551 (base 6) to base 15.\nAnswer: 4b8cc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = -4*z + 3*s, -3*z - 4*s - 43 = 146. Let p = -29 - z. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -141.3 + 141.2. Sort -5, 2\/15, 32, m in increasing order.\nAnswer: -5, m, 2\/15, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56492148 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*y**3 - 953*y + 64*y**3 - 236*y**3 + 474*y + 109*y**3 + 478*y + 61*y**3.\nAnswer: 77*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110393.41 rounded to the nearest 100?\nAnswer: 110400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 + l**2 - 3*l + 3. Suppose -7*x = 16 - 51. Let t(k) = 4*k**3 - 2*k**2 + 5*k - 5. Calculate x*o(n) + 3*t(n).\nAnswer: 2*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*w - 211517 + 539401 + 160820. Calculate the smallest common multiple of w and 6640.\nAnswer: 26560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.107 <= -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 958 - 668. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -505140 divided by -3\nAnswer: 168380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 925397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 149, 331, 585, 911, 1309?\nAnswer: 1779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-228)\/5 - -2) + 2. Let s(b) = 41*b**3 - 3*b**2 + 5*b - 2. Let y be s(1). Let o = y + p. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(-2)\/8*2. Let h be (10\/15)\/((-1)\/l). Which is smaller: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/13617632 and -35\/332659296.\nAnswer: 2328615072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2390?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 41429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v. Let b be -4 + 2 + 2 + 1. Let t(s) = 4*s - 3. Let g(n) = b*t(n) + 5*k(n). Let u be g(-4). Calculate the greatest common factor of 7 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 - 45. Let g = -41 + x. What is the nearest to g in 4, 3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2037*j - 1680 = 2142*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 3:53 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2054, -1745, -1434, -1121, -806, -489, -170?\n\"Answer: p**2 + 306*p - 2361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24519\/44 + (-2)\/8. Let y = r - 551. Solve 0 = 6*u - 0 + y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 smaller than -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/3 + 20600*x\/3 - 13732 = 0.\nAnswer: 2, 20598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 33 + (4 - -3) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 0 - (4 + -6). Solve h - 2 = w*y + 2, -3*h - y - 1 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*m**4 + 4*m - 379.\nAnswer: 60*m**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 - (-2530)\/(-17480). Determine p, given that 2\/19*p**2 + 0 - z*p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 349019791 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 29*t**2 + 11*t - 11. Let h(a) = 5*a**2 + 2*a - 2. What is -34*h(u) + 6*i(u)?\nAnswer: 4*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 6*i - 84. Is 7 a factor of f(49)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 5:28 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/3)\/(1\/3). Suppose 0*h = -4*h + 3*g + 141, 5*g + 114 = 3*h. Suppose 0 = o - h - 63. Calculate the highest common divisor of v and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12360 and 3540060?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*y**2 + 5*y + 812 - 407 - 404.\nAnswer: 94*y**2 + 5*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 0*k + 3 + 1\/2*k**2 - 1\/2*k**4 + 0*k**3. Find the second derivative of t(x) wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 7*t**2 + 11*t + 36. Let f be w(-6). Find the common denominator of ((-837)\/310)\/(f\/(-15)) and 103\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3929 + 3996 - (169 - -1)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -37*p + 2554. Does 14 divide u(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61027.78cm in nanometers?\nAnswer: 610277800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -6. Let z be (1 + (-12)\/3)*y. What is the biggest value in 3, 0.3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004084 rounded to seven dps?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115266 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 - 10 = 38*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from {k: 1, m: 2, l: 2, p: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 16632 + 3*b + 12141 - 2938.\nAnswer: 2*b + 25835","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 0 + 26 + 32 + -68 + 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 424 and 530?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -113 - -249\/2. Let l be (-6)\/(185\/40 + -5) + -4. Which is greater: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3496*0.2.\nAnswer: 699.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 238\/35 - ((-11)\/5 - -2). Suppose -b + m*b - 1476 = 0. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/3)\/(1\/9). Suppose 3*g - 39 = t*k - 5*k, 0 = 4*g - 3*k - 35. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**4 - 15*h**3 + 20*h = 0. Calculate h.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -33*j + 36*j. Let x(i) = 13*i**3 - 2*i**2 + 1. Calculate x(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-0.02.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 1. Let j(h) = -h + 3. Let p(g) = j(g) - 3*t(g). Let c(d) = -4*d + 2*d - 4*d. What is c(p(a))?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 202219*t. Let y(q) = 2*q**2. Give y(p(w)).\nAnswer: 81785047922*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*s**4 + 29*s**4 + 19*s**4 + 3*s**4 - s**4 + 0*s**4 + (-s**2 + 2*s**3 + s**2)*(-s - 4*s + 3*s) - 2*s**4 + s**4 + 2*s**4 + 4*s**4 - 2*s**2 + 2*s**2.\nAnswer: 39*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 v, and 1 x when three letters picked without replacement from {l: 2, x: 2, f: 1, v: 1, n: 2, i: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.7 in -11, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -0.23, -687 in descending order.\nAnswer: 3\/5, -0.23, -687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 1 = 2*r + w, -4*r - 12 = 4*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 f, and 1 g when three letters picked without replacement from xooxohfocoooooogxoox?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(24)\/(sqrt(48)\/sqrt(6)) - -5*4*sqrt(3))**2 + (sqrt(30)*2*5)\/(sqrt(30)\/sqrt(3)*4)).\nAnswer: -3969 - 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7971, 1, 0 in decreasing order.\nAnswer: 7971, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 14) + -78 + 72.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7123\/4 - -1786. Find the common denominator of l and 99\/1052.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, u: 7}. What is prob of picking 2 x and 2 u?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27170 and -0.36.\nAnswer: -9781.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 - 2414*i - 29375. Calculate a(-12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6480 divided by 10\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*1*sqrt(8)\/(sqrt(4)*1 + sqrt(4) + sqrt(4)).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 27*d + 38 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/7 + 114\/42. Suppose -5 + y = d. Let n = 7 + d. Solve -n*q - 2 + 22 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7065, -14050, -21031, -28008, -34981?\nAnswer: -41950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*c + 96*c + 95*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 205575 divided by 16\nAnswer: 205575\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.0678 * 6\nAnswer: -0.4068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -424, 2, -10, 5, 0, 9.\nAnswer: -424, -10, 0, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 206?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103924 divided by 116.\nAnswer: -25981\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.7 - 1. Let t = 40322 - 40322.70043. Let s = z + t. Round s to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12267687.\nAnswer: 3, 97, 42157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 10*t**2 + 8*t - 99. What is l(-12)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(-5*g**3 + g**3 + 3*g**3) + (4*g + 0*g - 3*g)*(0*g**2 + 4*g**2 - 3*g**2) + 2*g**3 - 2*g**3 + 3*g**3 + 2*g**2 + 2*g**3 - 2*g**2.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 19 = 1. Suppose 18 = 3*g + 2*v, 4 = g + a*v - 2. Calculate the remainder when 8 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 6*a + 444 = 0. Suppose -7*g - a = -8*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = 9*d - 14*d. What is the highest common divisor of d and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7175564 a multiple of 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -98 + (-13612)\/(-166) + -71?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/56 and (-526)\/(-48) - ((-14)\/(-21))\/2.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11212210221200 (base 3) to base 6.\nAnswer: -131335243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, c: 1, e: 1, o: 5, j: 1}. What is prob of picking 1 o, 2 t, and 1 j?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.16. Let c = j + 0.26. Let h be (-5)\/(-9) - 4\/18. Sort h, 2, c in increasing order.\nAnswer: c, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 54496508 and 0.05?\nAnswer: 54496507.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zymuf. What is prob of sequence mz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Let b be j(-1). Let u = -3 - b. Let v(s) = 4*s + 2. Give v(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n. Let g(i) = -45*i**2 + 110*i + 55. Let r(o) = -5*o**2 + 12*o + 6. Let u(d) = 6*g(d) - 55*r(d). Calculate u(s(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 29271, 260767, 889115, 2112741, 4130071, 7139531?\n\"Answer: 33071*a**3 - a - 3799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125819500673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190\/(-76)*(6\/(-9))\/(-2).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1837711*x**2 + 5457349.\nAnswer: 3675422*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + -4.9. Let t = -6 - l. What is the closest to -2\/7 in t, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.538 rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -90ab1b + 49?\nAnswer: -90aab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-11)\/(-88))\/((-7)\/(-106)) and 59\/154.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, u: 2, e: 4}. What is prob of sequence uzzu?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxrk when four letters picked without replacement from rkrtrkrxrrrtrrrkxrrt?\nAnswer: 11\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**3 - 315*o**2 + 71300*o = 0.\nAnswer: -155, 0, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -5740.\nAnswer: 5740.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1440\/(-4032))\/(-1 - (-90)\/70).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 - -2.4. Let s = -76.13 + 1.13. Let f = s - -75. Which is the closest to f? (a) 2\/7 (b) 4\/11 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o - 5*x + 28, 3*x = -2*o + 70. What is the remainder when o is divided by 3 + 4\/14*(6 + 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 202, 204, 206?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 44*a - 61*a - 7*a**2 + 17*a. Let g(h) = -202*h. What is m(g(f))?\nAnswer: -244824*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -647 = -4*z + r, -7*r = -5*z - 3*r + 817. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 12 = 4*c. Does 13 divide c - -2*(-68)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + v - 244 = 0, -13*h + 5*v = -14*h + 61. Solve -h = -16*t - 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -21*h**8\/8 - 43*h**4\/12 + 113*h. What is the third derivative of u(t) wrt t?\nAnswer: -17640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 52*c - 61. Determine b(26).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 2:16 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (28\/10)\/(4\/60) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20748840 divided by -24701.\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 314091 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suy when three letters picked without replacement from {u: 6, y: 3, s: 1, x: 1, d: 1, k: 1}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -2)\/((-1)\/(-8)). Suppose -7*t - m = -3*t. Let x = 9 + t. What is the lowest common multiple of 4 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3746, -7619, -11744, -16247, -21254, -26891, -33284, -40559?\n\"Answer: -21*u**3 - 3726*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/6)\/(-7 + (-160585)\/(-22941)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32649431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 54 = -2*r + 12, -3*p + 6 = 0. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 4, 55367, 5 in increasing order.\nAnswer: -31, 4, 5, 55367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:12 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(13 - 15 - 30)*(l - l - 5*l).\nAnswer: -160*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480*b + 18 = -486*b. Let r = b - -4. Let c(l) = 3*l + 1 + l**2 - 2*l**2 - 4*l. Let m(v) = -v**3 + 2*v**2 + 4*v. What is r*m(q) + 2*c(q)?\nAnswer: -q**3 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 251\/2 + -125. Let h = -449\/22 - -28528\/1397. Are h and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -12*w**2. Let r(x) = 196*x**2 - 30*x - 6. Let v(c) = 3333*c**2 - 505*c - 101. Let o(d) = 101*r(d) - 6*v(d). What is f(o(h))?\nAnswer: -489648*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/5 - 18*m**2\/5 + 44*m\/5.\nAnswer: -2*m*(m - 2)*(m + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 467, 3662, 12337, 29234, 57095, 98662, 156677?\nAnswer: 233882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 695084 to the power of 1\/2, to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -621*i**5 + 451*i - 364*i - 32*i**4 - i**2 + 928*i + 35*i**4 wrt i.\nAnswer: -12420*i**3 + 36*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/12)\/(276\/(-108) + 2). Let a(y) be the first derivative of 1\/2*y**6 + 0*y + 3\/2*y**2 - 1 + 0*y**5 - n*y**4 + 0*y**3. Find p such that a(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*q + 1075376 - q**2 - 41*q.\nAnswer: -q**2 + 1075376","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 693\/68 - 14\/51. Let l = 98819779\/782 + -126368. Find the common denominator of r and l.\nAnswer: 4692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -8. Let f(s) = 4*s**2 - 5*s + 1. Let z(m) = 5*m**2 - 5*m + 1. Let a(n) = x*f(n) + 5*z(n). What is a(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -231*t**3 - t**2 + 20*t wrt t.\nAnswer: -1386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96667 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -628 - -654. Suppose 10647 = 33*a - n*a. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 i when three letters picked without replacement from rrirzirnzzzziz.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b = 43*b + 74. Suppose 0 = -32*d + b*d + 120. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 6:37 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from qnjjjsyfsnyyfqy?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 131565413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 21 + 16*x + 32*x - 3 - 21*x to the form w*x + v and give v.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960925420 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14293, 15000, 15707, 16414?\n\"Answer: 707*u + 13586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 8:44 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1863123 divided by 30543.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-1)\/((-5)\/(-5)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95789 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 7 = -4*t, -4*t - 13*b + 9*b = 0. Let k be (4 + (-26)\/7)\/(-1). What is the third smallest value in k, -0.2, 10, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/2 + -32)\/(-2). Let k be (-6)\/(-16) + 250\/g. Solve 3*c + 20 = 7*c, 0 = 3*o + 5*c - k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 + q - 1. Let a be h(1). Let l be -3*(2\/3 + 1). Sort a, -3, l.\nAnswer: l, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5390833?\nAnswer: 7, 110017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 1094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*25356.\nAnswer: 101424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -16. Suppose -i - j = -5*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 638.1002 nanometers in kilometers?\nAnswer: 0.0000000006381002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -159.681467 to two dps.\nAnswer: -159.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13676 + 14809. Calculate the greatest common divisor of 1236 and c.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 220, 778, 1864, 3652?\nAnswer: 6316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 4*u - 3. Let o be p(6). Let t = 9 - 14. Let j = t + o. Solve -g - i = 2*i - 5, 5*g - 6 = j*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)\/(a**(-11)*a))\/((a\/((a*(a\/(a*a**(-1\/19)\/a))\/a)\/a))\/a*a\/(a\/(a**11*a)*a)*a) assuming a is positive.\nAnswer: a**(-75\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -323, -0.2, 3, -4\/3, -1, 0.3?\nAnswer: -323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -9\/5, -74, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.1581nm in centimeters?\nAnswer: 0.00001401581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26274?\nAnswer: 2, 3, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -757 and -2.9.\nAnswer: 2195.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0*l**2 + l + 23\/6*l**3 + 0. Let i(k) = -167*k**2. Let q(o) = -1796*o**2. Let g(r) = 43*i(r) - 4*q(r). Determine c(g(s)).\nAnswer: 69*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 499 divide 5044592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 133854598.38.\nAnswer: -133854598.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -11*x + 1918. What is q(179)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (-1 + -19 - (-476 + 470))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -86?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - 3*f**3 + 2*f**3)*(1 - 2*f - 1 + (-4 + 1 + 2)*(-5 + f + 5) + f - 3*f + f + (-3 - 7 - 2)*(4 - 4 + f) - 11*f + 11 - 11).\nAnswer: -27*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 416\/(-64)*(94\/26 + -4)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7196563.8 milliseconds?\nAnswer: 1.9990455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**2*k**2 - 280*d**2*k - 6*d*k - 3*k**2 wrt d.\nAnswer: -2*k**2 - 560*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 245 = 5*b, -3*b - k = -6*k + 139. What is b rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 8) in base 15?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**4 + 1731*f**3 + 34*f + 62?\nAnswer: 36*f**2 + 10386*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (353395\/5)\/7. Let z = f - -2503. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -120. Let b be -4 - (-4)\/(60\/u). Determine h, given that -2\/5 + b*h + h**2 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264981 is divided by 363?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k + 239 = 538 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**3 + 11*w**2 - w - 34. Give m(7).\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 42, -n = -35*h + 39*h - 302909. What are the prime factors of h?\nAnswer: 3, 25243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -19*c + 14*c. Suppose -14 = -3*q + c. What is the remainder when 38 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 1:06 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 15623.741 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -53*d**3 - 9*d**2 - 12*d + 6. Let n(t) = -53*t**3 - 10*t**2 - 13*t + 7. Let j(g) = 7*k(g) - 6*n(g). Find the third derivative of j(c) wrt c.\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) 3\/85 (b) 3 (c) 149 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 231 and 1512.\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 7*x - 8. Let a be z(-8). Let y = a - -3. Suppose -2*j = -y*j + 20. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + c = -6*i + 3, 2*i - 4*c + 6 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -41*h**4 - h**3 + 38*h - 106. What is the third derivative of v(w) wrt w?\nAnswer: -984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/35 at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 2*s**2 - 2*s + 5. Let c be g(-3). Suppose c*w - 2*y + 9 = 39, 4*y - 52 = -4*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25 + -24)*(-1)\/(-5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 47*l**2 - 15 + 4 + 6 + 13*l**2.\nAnswer: -34*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 11:48 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14938? (a) -1\/3 (b) 0.029 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 689, 1365, 2025, 2663, 3273?\n\"Answer: -q**3 - 2*q**2 + 689*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-6))\/((-14)\/(-105)*165\/(-44)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v - 10 = -22*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4207212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammd. Give prob of picking 2 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*u - 77*u = 64105. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -31, -22, -11, 2, 17?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - u)*(-2002 + 2002 + 10*u**3) to the form k + s*u**2 + o*u**3 + q*u**4 + r*u and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 660\/1999 - 769717\/2070964. Calculate the common denominator of -97\/6 and v.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by 3?\nAnswer: 53\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8118, -20449, -41000, -69771?\nAnswer: -106762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 134*h**2 - 416*h - 687. Let o be v(-137). Let y be 6\/(-24) - (-17)\/4. Which is the fourth smallest value? (a) -2\/5 (b) y (c) o (d) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6045 divided by 6\nAnswer: 2015\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2127 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 16*u**2 + u. What is the smallest common multiple of 39 and y(-1)?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f = -6. Sort f, -4\/3, 4.\nAnswer: -4\/3, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/18*-4*3. Suppose z*x + 9 - 27 = 0. Let w = 6 + x. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**4 - 156*g**3 - 167*g + 291953 wrt g.\nAnswer: -16*g**3 - 468*g**2 - 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(132) + sqrt(132)*-2))\/(sqrt(6)\/(-2*sqrt(2))))\/(((sqrt(324) + sqrt(324) + sqrt(324)*-2 + sqrt(324))*-2 - sqrt(324) - sqrt(324))*5).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.484 * -1.\nAnswer: 1.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1161\/(-1935)*205\/2*14\/(-21).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.3 - -8.4. What is the second smallest value in q, -0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149847 divided by 49949\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/2 - 16846*d - 67392 = 0. What is d?\nAnswer: -4, 33696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -110, 8 in decreasing order.\nAnswer: 8, -2, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -14 + 9 - -5) + 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25789232659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 160*w**4 - w**3 - 2*w**2 + 2*w**3 + 0*w**3 + 151*w**4 to l + b*w**2 + q*w**4 + t*w + u*w**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**3\/9 + 3896*k**2\/9 - 7911208*k\/9 - 1759776 = 0.\nAnswer: -3188, -2, 1242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 21 = 4*b. Let c(x) = x**2 - 1. Suppose 3*l - 2 - 7 = 0. What is the remainder when c(l) is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 8 - -3*1. Let n(f) = -2*f - 6. Let k be n(d). Factor 0 + 1\/4*h - 1\/4*h**k.\nAnswer: -h*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1425 divide 16089675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v + 5. Let g be c(5). Let h be g\/(-9)*-3 - -2. Let j = -8 + h. Solve 0 = 9*f - j*f - 2*i - 12, 0 = f + i - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u = 0. Let k be 6 - (u\/1 + 2). Differentiate 1 - o**2 - o**2 - k with respect to o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1764 = -2*y - 3*h, 0 = -y - 3*h + 685 + 203. Calculate the lowest common multiple of y and 9.\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -20. Let h = t - -18. Let p = h - 4. Which is the second biggest value? (a) 0.3 (b) 0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5 = -2*z, -3*z - 3 = -3*i - 4*z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hir when three letters picked without replacement from ippyiypyyhyyhhyyrs?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 y when three letters picked without replacement from yyytpyyyytppyypp.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 4*u**2 + 2*u**2)*(-5*u**2 + 7*u**2 - 2*u + 3*u + (-3*u + 0*u + u)*(-u + 2*u - 4*u)) - 11*u**4 - 6*u**4 + 4*u**4.\nAnswer: -5*u**4 + u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from {m: 5, s: 4, t: 3, e: 7}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i - 8399 = -34175. What are the prime factors of i?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -697290 - -696870.0632. Let z = 0.0632 - h. Let j = z + -416.99. What is j rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1043743?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhhjhhgd. Give prob of sequence dh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-13))**(-12)\/((i**(4\/5)*i)\/i*i**(-3\/4)) assuming i is positive.\nAnswer: i**(2879\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079 + -42?\nAnswer: -41.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Let n(t) = -12*t**2 - t - 1. Give n(-2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -2 + 20 + -8 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13214 = -142*u - 85*u + 9*u - 3186 for u.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.73520035 and -1.29?\nAnswer: 5.02520035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/6)\/(-5)*(-6)\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -12.57, -27\/5, 3, 5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*a + 2*a - 17, -4*x + a = -11. Solve -x*i + 19 = -3*s, -3*i = i + 4*s - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 4*q + 4. Suppose 2*o - 26 = 5*p, 5*p = 4*o + 3*p - 20. Let w be (30\/4)\/(o\/2). Give u(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 416 + 417 = 0, 4*l + 9*z = -21 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 7*m - 2. Let t be k(-5). Let f be 156\/t*2\/3. Let g = f - 11. Solve x - 26 = 3*j + g*j, x - 4*j - 21 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14775803*s**4 + 44677*s + 3.\nAnswer: 177309636*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 4020944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.044, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c. Suppose -3*p + 4*d + 25 = c, -26 = -4*p + 2*p + 5*d. Solve 5*u - 27 = -p*g - 0, 0 = -g - 4*u + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(833)*1*-3)**2 - (-4*sqrt(833)*-4 - (sqrt(833) - ((sqrt(833)*-4)**2 + -1))).\nAnswer: -105*sqrt(17) + 16661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 3137720.\nAnswer: -21\/3137720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**5\/6 + 155*x**4\/6 + 2797*x**3\/6 - 10367*x**2\/6 - 1862*x + 6498 = 0.\nAnswer: -19, -2, 2, 3, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 536*i**5 + 260*i wrt i?\nAnswer: 10720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 10*q**2 - 721*q - 9456. What is n(-13)?\nAnswer: 1607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**4\/4 - a**3\/6 - 3*a. What is the second derivative of i(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*w = 3*w + 6, 0 = 3*b - 5*w + 16. Let j be -3 + (-5499)\/15 - b\/(-5). Let s = j + 691. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*s**5 - 7*s**4 - 93*s**3 + s**2 + 74*s - 1260.\nAnswer: 160*s**3 - 84*s**2 - 558*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102 + -171. Which is smaller: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 448 + -946. Let d = g + 755. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/52153 - 104264\/1095213. Which is the second biggest value? (a) -1\/663 (b) n (c) 4 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 284900 by 1.\nAnswer: 284900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 33. Suppose 5*l + 4*b - 698 = 0, 2*l - 5*l - 5*b + 424 = k. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.34 - -0.06. Let w = -22635 - -22637.2. Which is the biggest value? (a) -0.3 (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j**3 - 2*j**4 + 9*j**3)*(-j + 0*j - j + (3*j - 3*j - j)*(1 - 1 - 2) + j + 0*j + 0*j).\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 + -78. Suppose -s - 4 + 5 = 0. Let k be 0 - (s + 1\/(-5)). What is the closest to m in 8, -1\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*a + 86, -x + 5 - 1 = -5*a. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/32 - 9000001\/(-2). Round u to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 108152485?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.045 - 2.045. What is the closest to 1\/2 in -5, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) -966 (c) 11 (d) -3 (e) 1 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 5*y + 3*b, 4*b - 20 - 32 = -2*y. Let x(r) = 7*r + 133. Calculate the remainder when x(-6) is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -53. Let g = -415\/9 - q. Which is the biggest value? (a) g (b) 3\/5 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -708*h - 5669. Let i be x(-8). Which is the closest to i? (a) -2\/7 (b) -0.4 (c) -17 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4049 or 4057?\nAnswer: 4057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.4 - -24.98. Let k = q + 2.32. Let o = -7 - -8. Which is the nearest to o? (a) -5 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 - 57. Let z = 220 + s. Is z less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 18 = -3*t - t, -5*t + x + 21 = 0. Suppose -4*d + 24 = 4*p, 0 = -2*d - 25*p + 29*p + 30. What is the smallest common multiple of d and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19200 rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - z**2 + 2*z - 51. Let t be g(0). Let w = 105 + t. Which is smaller: w or 56?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -10 + 6*n**3 + 2*n**2 - 10*n**2 - 3*n**2 + 11*n. Let j(o) = -o + 1. Let c be j(-1). Let i(w) = w**3 - 2*w**2 + 2*w - 2. Determine c*a(m) - 11*i(m).\nAnswer: m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.048946 - -0.04278. What is l rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 116 + 0*j**2 - 119 + 2*j. Let o be k(5). Calculate the highest common factor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116 - 96.9. Let s = -20.03 + t. Round s to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 + (-3 - -2) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21061644 is divided by 308.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 877, -0.328228 in descending order.\nAnswer: 877, 4\/5, -0.328228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -1\/3, -0.694, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-384)\/(-80)*15\/6. Factor -9*z**2 - 8*z**2 + 40*z**2 - m*z**2 + 18*z - 8*z**2.\nAnswer: 3*z*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72b (base 16) to base 9.\nAnswer: 2458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - 0 - (42 - (82 - 38))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*v = -5*g - 16, -v - 13 = 2*g. Sort g, -18, 4, 5 in ascending order.\nAnswer: -18, g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -9*x + 15. Let d = x + 150. Let a = d - 90. Calculate the highest common divisor of 29 and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*v - 45*v + 120 = 16*b, -v - 3 = 2*b - 15 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 4*k - 3. Let z be b(2). Let h be 6\/79*(-106)\/18. Let s = h - -2\/711. Which is bigger: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-56) + 1\/(-4). Let l = -28032 + 28036. Which is the closest to 2\/7? (a) 0.01 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 468 - 300 = -9*q - 382 for q.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1175980 by -117598.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 19*f - 58. Let z be m(-15). Solve 0 = z*v - r - 2*r + 12, 3*r = 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 320 or 6072\/19?\nAnswer: 320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2. Let y = q + -1. Let b(r) be the second derivative of -r**5\/20 - 3*r**2 + r. Give b(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3551 + 15707. Is 19257 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/140 + 2\/(-14). Suppose -3*s + 695 - 350 = j. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*f - 124*f + 20416. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -38*k + 5 - 5 + 8*k - 4*k. Let i(z) = -z. Give i(s(o)).\nAnswer: 34*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -18 (b) -2 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*g - 3 = -112*g. Let s = 0.24 - 0.34. What is the nearest to g in 4, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 7 (c) 0.3 (d) 2 (e) -11609 (f) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 32 - 0.18625\nAnswer: 31.81375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93840.08 minutes to seconds.\nAnswer: 5630404.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**4 + 10158 + 395*l**2 + 42*l**4 + 8*l - 340*l**2 - 8*l wrt l.\nAnswer: 172*l**3 + 110*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -50*o**3 - 11*o**2 + 11*o - 7. Let w(v) = -17*v**3 - 4*v**2 + 4*v - 2. Let u(y) = 4*p(y) - 11*w(y). Differentiate u(r) wrt r.\nAnswer: -39*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 9*u + 2064. Let k = 370 + u. Does 24 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2130833975 from -5.4762.\nAnswer: 2130833969.5238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4998 - -7435. List the prime factors of p.\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 2*g - 2*g)*((-4 + 3 + 2)*(-1 + 1 + 2) + (-2 + 3 + 2)*(-23 + 1 - 31)) to the form v + b*g and give b.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -127, -114, -101, -88, -75?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1702 less than 27.112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-90)\/20)\/((2\/(-2))\/734)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -837, -843, -847, -843, -825?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 8*q + 85. Suppose -2*h + y + 18 = 7, -y - 5 = -h. What is t(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + t - 1, -4*t = -2*t + 2. Let u(m) = 5*m + 73 - 53 - 35. Let i be u(3). What is the second biggest value in h, 1\/5, 0.3, i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvww. What is prob of picking 3 w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*l + 98*l = -6, -4*h - 21*l + 38 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 o, and 1 p when three letters picked without replacement from pppoorrproilowllpp?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 2. Let q be c(-3). Solve -r + 6 = q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5834588 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**2 - 2970*q + 3006*q - 4 - q**2 + 3 - 3 as u + j*q + m*q**2 and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 9:26 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 14*u = -444. What is the second derivative of 122*h + h**2 - u*h - 42*h**3 - 26*h**3 + 3*h**3 wrt h?\nAnswer: -390*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + 21)\/((-12)\/24)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -813*r + 36528 = -20399 + 10586 for r.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3310 + 3309.92768. Round p to three decimal places.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i. Let r(v) be the second derivative of 6017*v**4\/12 + v**3\/6 + v**2\/2 - 94*v - 13. Give r(k(w)).\nAnswer: 6017*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4486, -8978, -13472, -17968?\nAnswer: -22466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {w: 10, i: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9029)\/(-6) - (-335)\/(-402). Calculate the highest common factor of a and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 71, 53, 15, -49, -145, -279?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -2)\/(15\/3). Which is the smallest value? (a) -5 (b) 3 (c) x (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 2. Let u be d(5). Let c be u + -5 + (-10)\/3. What is the nearest to 2 in c, -4, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from {f: 3, g: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 34. Let v(l) = l**2 + 17. Calculate -3*d(a) - 5*v(a).\nAnswer: -2*a**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 16562 = -35*x + 6*x - 148*x for x.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -7\/2108, -18, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 6*v + 15. Let d(q) = -q + 29. What is the units digit of d(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y. Let b(h) = -260409 - 117*h + 260409 + 918*h. Determine b(i(f)).\nAnswer: 1602*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 6*y - 9. Let g be (-2)\/y - (-11)\/72. Suppose 35 + 8 + 15 = -58*q. Which is the smallest value? (a) q (b) g (c) -13\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8*d - 12 = 0. Let n = 4 - -2. Solve n*f - 15 = d*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 170.179 - 8.519. Let z = t + -167. Round z to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10779 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 c, and 1 m when four letters picked without replacement from mfemmmcemmmcffmcmm?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2023867 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 31*k + 146. Determine h(-36).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = -l - 6*m + 13, -3*m - 21 = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 4*b - 3*b)*(10*b + b - 5*b) + 3*b**2 + 9*b**2 + 10*b**2.\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 3*p + 72 = -0*p, 0 = 5*o + 4*p - 65 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*z = 1469, 0*z = 5*g + 4*z - 2444. Suppose 0 = j + 172 + 129. Let p = j + g. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74132772 divided by -2.\nAnswer: 37066386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 102.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 2:42 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-52)\/(-91) - (-22)\/(-14). Let k be 0\/j + (-9)\/(-12). Which is the second biggest value? (a) -0.3 (b) k (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 959*a**2 - 325*a + 2637. What is the thousands digit of o(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**27*v*(v*v\/v**4*v)\/v)**(-41) assuming v is positive.\nAnswer: v**1107","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 100 = 2*r + 3*o, -4*o - 12 = 0. Let g = r + -37. Suppose 3*d - 2*q = 2*q - g, -5*q + 26 = 3*d. Solve 0 = -d*w - w - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**3*k**3 - 5618*g**3*k*x**2 - 65*g**3*x - 5*g**2*k**3 + 6*g**2*k*x - 8331*g*k**3*x**2 wrt g?\nAnswer: -6*k**3 - 33708*k*x**2 - 390*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 67*r - 196. Calculate q(-9).\nAnswer: -799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 6:13 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3))**43)**18\/((o*o**(1\/3))\/o**14)**(-4\/5) assuming o is positive.\nAnswer: o**(-4022\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, k: 4, v: 3}. Give prob of sequence kvkk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2. Let d(q) = 34*q**2 + 9. Give d(a(b)).\nAnswer: 34*b**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1798 or -106059\/59?\nAnswer: -106059\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 323753557*n**2 + 307721904*n.\nAnswer: 647507114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**3\/3 - h**2 + h + 7. Let u = 632 + -635. Give g(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 3 = 3*w. Suppose 0 = -0*a - w*a + 141. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 7*z - 5. Suppose -9 = -3*u, 4*f + u = 2*f - 7. Let x = 0 + f. List the prime factors of j(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20186 = -121*m + 8128. What is the greatest common divisor of 423 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3416?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*n + 9278, -6*b + 12380 = 4*n - 4*b. Let d = n - 1299. Let a = d - 828. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -815*t - 892 = 5619 + 7880 + 8429 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-1 - (-3 - -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -822.22448 rounded to one decimal place?\nAnswer: -822.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4671 by -3.\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**2 - 5*i**2 - 380 + 4*i**2 + i**2 + 385*i = 0.\nAnswer: 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - 20627*w - 185841. Calculate l(-9).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 903885 and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 628075?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627 divided by 8?\nAnswer: 1627\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**4\/8 + 2*d**3\/3 + 3*d**2\/4 - 39. Factor o(h).\nAnswer: h*(h + 1)*(h + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*l**4 + 2*l**4 + 4*l**4 + 32 + 2*l**4 wrt l.\nAnswer: 132*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77.60817l?\nAnswer: 77608.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -22589690 to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-1)\/(-3 - -2). Does 3 divide (-21)\/(-9)*(2 + p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -379043 - -749950. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 202 (b) -9 (c) -5787\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*l + 18*l - 12. Suppose 0 = 2*g + 5*a - 3*a + 4, 0 = 4*g + l*a + 5. Is g not equal to -3\/160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-24)*p*p**(-25)\/p)**(3\/25) assuming p is positive.\nAnswer: p**(-147\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4830 - 4827. Which is the second smallest value? (a) p (b) -7\/40 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 48 + 78. Let a(w) = w**3 + 10*w**2 + 14. Let v be a(-10). What is the greatest common divisor of v and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/2*(-2 - -1). Suppose 5*a - 1 + 11 = f. Let q(z) = -z**3 - 2*z**2 + 1. Let m(g) = -g**3 - 2*g**2 + 1. Let x(l) = -3*m(l) + 4*q(l). Give x(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105315.2037us to weeks.\nAnswer: 0.00000017413228125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 63.24026m?\nAnswer: 63240.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 29 - 19 = 0. Let v = -23 - n. Calculate the highest common factor of v and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 0)*(4*q - 4*q - q) - q - q + q - 2*q + 8*q + 10*q)*(q**3 - 3*q**2 + 3*q**2).\nAnswer: 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzzidzgzdwigw. What is prob of picking 1 i and 2 g?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209496816.\nAnswer: 2, 3, 1454839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (10\/5)\/((-2)\/12*-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = -2*x - 168, 4*x + 2331 = 4*j + 2247 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.6, -12014, -0.4?\nAnswer: -12014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/309 and 65\/9918.\nAnswer: 1021554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1519524 and -47\/119873560.\nAnswer: 1078862040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 61 + -465\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 339 - 335. Let r be (7 - 52\/8)\/((-1)\/j). Let w = -1\/242 - 361\/484. Is w > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) -0.5 (b) -3 (c) 22 (d) -95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajaa when four letters picked without replacement from aaaaajaa?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 7*f. Suppose -3*d + 0*m = 2*m, -4*d + 5*m = f. Which is greater: d or -1\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3230 (b) 0.2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (7 + (-10 - (-5 - 3))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 10*i + 15*i. Solve 5*q + i*u - 5 = 0, -3*u + 2*u = 2*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 3221*c - 48760. Determine i(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40291.81 minutes to seconds.\nAnswer: 2417508.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -437.284 + -0.2?\nAnswer: -437.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 98\/(-2)*(-2)\/2. Let q = 61 + -54. What is the highest common factor of j and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/4)\/((-3)\/(-72)). Let b = 4206 + -4158. Calculate the greatest common factor of b and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 685 in -0.5, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 267353, 267307, 267239, 267143, 267013, 266843?\n\"Answer: -r**3 - 5*r**2 - 24*r + 267383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(3\/(-18)*4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 579 = 3*j - 2478, 0 = 5*j + 4*y - 3183. Calculate the highest common divisor of 1651 and j.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*v + 1008297 = -1101559 - 888648. Is v 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 gcpkgbcxbpgcp. Give prob of picking 1 g, 1 b, and 1 p.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -67922.7 rounded to the nearest one thousand?\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b**2 + 236*b + 2832. Determine n(37).\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 15*n**2 + 7*n - 89. Determine z(0).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 12:07 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.58 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -16*(-4 - 27\/(-6)). Is d < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 10. Let x(u) = 3*u - 17. Let d be x(m). Let c = d + -3. Solve l + 25 = -c*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 321676974?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*k - 31*k + 72. Suppose -3*j + 69 = -d, -3*j - 4*d + 2*d = -78. Is j at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047 times 2?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (96\/(-2))\/(-3) + -3. Let s(z) = -3 + 12 - 3 - m*z. Let o be s(1). Which is bigger: -8 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 4*u**2 - 5*u + 3. Let o be f(-5). Suppose -o*b + 21 = -27. Let z = -21 + 29. Calculate the greatest common divisor of z and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -782*b**7\/7 + 5*b**4\/12 - 107*b**3\/6 + 548*b + 5. Find the third derivative of p(i) wrt i.\nAnswer: -281520*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (195*d + 178*d - 386*d - 17)*(3*d - d - 3*d) as j + r*d + u*d**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 65*v + 61*v - 98, 3*r = -2*v - 244. Suppose -p - 182 + 47 = 0. Let g = r - p. List the prime factors of g.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 265872450 to the nearest one hundred thousand.\nAnswer: 265900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 7*h - 7. Let d be s(-5). Suppose -4*v + 1652 = d*v. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80445 and 173865?\nAnswer: 2595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 4*p - 11, 3*w - 4*p + 6*p = -9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 5 - 42 = -g, -3*g = -3*y + 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1846, -7490, -16918, -30142, -47174, -68026, -92710, -121238?\nAnswer: -153622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*o**5*p - 16*o**3*p**3 - 317*o**2*p**3 - 3*p**3 wrt o.\nAnswer: -3240*o**2*p - 96*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)*1 + sqrt(84))*6 + -2*2*sqrt(84))*4)\/(-2*-3*sqrt(72)\/(sqrt(6)*1)).\nAnswer: 16*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k + 1. Let o(a) = 7*a - 1. Let q(u) = 6*m(u) - 5*o(u). Suppose -7*v + 3*v - 20 = 0. What is q(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 50749144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**5 - 7740*i**4 + 3748092*i**3 - 3740356*i**2 = 0. Calculate i.\nAnswer: 0, 1, 967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1\/11, -0.486, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 0.5, -47, 4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 8*x - 5*m - 16, -x + 10 = -2*m. Let q(r) = -100*r**2 + 49*r**x + 44*r**2. Let d(t) = 5*t - 4*t + 3*t. Calculate d(q(c)).\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 13*g + 19. Calculate k(6).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9\/40 - -3\/5. Suppose -2*y + 0 = -6. Suppose 2*h - 3 = y. What is the third biggest value in w, 2, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by (216\/(-252))\/(3\/98*-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + i. Let j be p(0). Let l(t) = 5*t. Suppose 3*n - 3*v = 0, -4*n - 3*v = -13 - 1. Let f be l(n). Solve j*a = 2*a + f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*o - 64*o - 476 = 100*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/2 + 2 - -3. Let 0 - 1\/2*q**3 - 1\/4*q**2 - 1\/4*q**4 + u*q = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -4*m - 3*b + 38, -4*m = 5*b - 136. Suppose 3*s = -2*l - 9, -7*s + m = -4*l - 2*s. What is the common denominator of 37\/140 and (-140)\/l*54\/576?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -109*w**3\/6 + 554*w. Let p(b) = 3*b**2. Give h(p(t)).\nAnswer: -327*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77941 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 7*w - 8. Solve w*f + 9 = -0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*t**4\/19 - 50*t**3\/19 - 12*t**2\/19.\nAnswer: -2*t**2*(t + 6)*(4*t + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 8*z**2 - 7*z**2 + 2*z - 6*z. Let x be i(2). Is 20434\/30 + x\/30 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -143 + (69 - -36) - 68.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34 and 44.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 46. Let p be l(-9). Suppose 2*c + 2*w = -c + p, -3*c = 4*w - 83. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 84002 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(153)*3)\/(sqrt(18)\/sqrt(128)).\nAnswer: 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 1. Let p be a(2). Let x = -324 - -303. What is the units digit of (1*p)\/(x\/56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (382\/2865)\/((-1)\/(-2)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17, -77, -183, -359, -629, -1017, -1547, -2243?\n\"Answer: -4*c**3 + c**2 - 35*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-21)*2\/4\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9192814709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 6*h - 3. Suppose z + 17 = -4*d, d + 5 = 2*z - 4*d. Let l be o(z). What is the units digit of (l - 7)*6\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q = n - 24*q - 4, 5*q - 25 = 0. What is the least common multiple of n and 7455?\nAnswer: 59640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyuyyyuyyuuuiy. Give prob of picking 3 y.\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -812 + 832. Let c be (-5 + 4 + 1)\/1. Suppose 2*t - 16 = -v, c = -2*v + 2*t + 16 + 4. What is the greatest common factor of v and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/((-7920)\/(-20307)) - (-9)\/12. Let b = w - -161\/15. Find the common denominator of 21\/20 and b.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:08 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s - 5. Let j be u(-5). Let x be 8\/(-28) + 144\/14. Solve 5*d = -j - x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(-5 + (-2*sqrt(204)*5)\/(sqrt(12) - sqrt(1452)*-1)).\nAnswer: 5*sqrt(17)\/2 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3*c = 16. Let r(b) = -c - 7*b + 3 + 0. Calculate r(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*c = -47*c + 50 - 303. Solve c = -7*p - 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 0)*(-71 + 29*j**2 + 71) - 5*j + 48*j**2 + 5*j + 42*j**2 as p*j + h*j**2 + z and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*c = -5, z - 3*z = -4*c + 4. Let y be z - (2 + (-3 - 1)). Solve n + 9 = y*p, -n - n = -5*p + 22 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 12:02 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.087\nAnswer: -0.0435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -360, -349, -316, -249, -136, 35?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 - 1. Let g be z(3). Suppose -49*k + g*k = -15. Solve -c = -k + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 438108 and 99570?\nAnswer: 2190540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.039 times 0.1\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1013499 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5798*z - 5794*z + 40 = 0, 92*o + 736 = z for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 1\/14*g**7 + 0*g**3 + 3\/4*g**5 + 0 - 2\/5*g**6 - 1\/2*g**4 + 0*g**2 - g. Factor q(l).\nAnswer: 3*l**2*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/65929?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 303*i - 100 + 34.\nAnswer: -303*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3866379506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/p**33)))\/(p*p**(-7)))\/(p*p*p*p**38\/p*p**(-7\/3)) assuming p is positive.\nAnswer: p**(-191\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k + 7\/8*k**6 + 1\/20*k**5 + 1\/4*k**3 - 6 - 37\/16*k**4 + 2*k**2. Find g such that m(g) = 0.\nAnswer: -1, 2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9119749 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b*b*(b\/(b**5*b)*b)\/b))\/b)\/((b*b**(1\/39)*b)\/b)*(b*b**(-1\/29))\/(b\/b**(-12)))**(5\/4) assuming b is positive.\nAnswer: b**(-62545\/4524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 2*z + 31, -t + 4 = 15*z - 18*z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(77)\/(sqrt(33)\/sqrt(3)))*2.\nAnswer: -4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 83065 + 83095 - 4*l - 166119. Calculate t(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**5\/11 + 3854*j**4\/11 - 2263792*j**3\/11 - 1537008188*j**2\/11 + 57930723060*j - 318234442050\/11 = 0.\nAnswer: -917, 1\/2, 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -0.051 (c) 1 (d) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 56 - -61 - (1 - (4 - 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 125899 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 1305 = l. Let k = l + 149. What is the closest to -2\/5 in -6, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33151816655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -68 + 62. What is the third derivative of 18*i**2 + 6*i**2 + 13*i**z + 24*i**6 wrt i?\nAnswer: 2880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 + 8656*m\/11 - 9365792\/11.\nAnswer: -2*(m - 2164)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16210, 16159, 16108, 16057?\nAnswer: 16006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 - m**3 - 5*m**2 + 3*m**4 - 382 + 383 to r*m + w*m**2 + i + s*m**3 + h*m**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 0)*(140 + 160 - 97*u + 101*u)*(2 - 1 - 2) to the form x*u + b and give b.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 d when three letters picked without replacement from {e: 10, i: 3, o: 3, d: 4}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -119621.434 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 10*a - 16128. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207871305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3325*y - w - 2 = -3324*y, -14 = y - 5*w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9117809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.011 and 2.074453129911.\nAnswer: 2.085453129911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmmmhhlh. What is prob of picking 3 m and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.188 + -6. Let k = p + -0.18719. What is k rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**4 - 8*m + m**2 + 27*m + 1241*m**3 - 1244*m**3 in the form s*m**3 + w*m**4 + n*m + a*m**2 + u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 11:28 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvmmmgmmmmmbmg. What is prob of picking 1 m and 1 b?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*g**2)*(2 - 3 + 0)*(27 - 65 + 29)*((-4*g - g + 4*g)*(2*g**2 - g + g) - 1 + 1 - 7*g**3).\nAnswer: -162*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -2*z - 0*z. Suppose 5*g = -33 + 668. Let h = g - 115. Calculate the remainder when z is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1310 - 11?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w - 29*w = 12. Suppose k - t = -4*t + 1, 0 = -w*k - 4*t + 8. Suppose -4*x = -k, 2*x = 5*l + x - 549. What are the prime factors of l?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -14*p. Let x(r) = -38*r. Determine d(x(v)).\nAnswer: 532*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 57*b + 268. Let j be y(-20). Let v = 899 + j. Calculate the remainder when 132 is divided by v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 v, and 1 b when four letters picked without replacement from qnbvbnvvibbbn?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.23 - 0.5.\nAnswer: 29.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 7, 5, -3\/2, -2\/7, -1\/27?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 - (2 + -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 9 - (0 - -4) - -23 - -9?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 501984783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2)**(18\/11))**(-7\/4)*((k\/(k*k**(-3\/4))*k)**(3\/8))**(-49) assuming k is positive.\nAnswer: k**(-13335\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*l + 1, 2*g - 2*l = 12. Calculate the remainder when (-10)\/15*(-69)\/g is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 26 + 22 = 0. What is the remainder when 30 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (16\/(-6))\/(-10 - (-360)\/34) and -101\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 15*f. Suppose -2*x = -4*x - 4*n + 130, f = -5*x - 3*n + 297. What are the prime factors of 38\/x - (-182)\/6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3. Let l be (-833)\/(-357) + (-40)\/(-6). What is the tens digit of l\/(135\/245)*(f - -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.5826 + -0.5826. Which is the third smallest value? (a) -0.7 (b) 0.72 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000022391 to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24\/23 - 74\/115. Suppose 0 = -5*n - 5*h + 65, -10*n - 55 = -14*n - 5*h. Let f be (-4)\/n - 2196\/610. Put -0.1, 0.01, t, f in ascending order.\nAnswer: f, -0.1, 0.01, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -7. Let w be (-14)\/z*(-15)\/(-2). What is the closest to w in -3, 0.3, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*18\/(-16)*8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362309 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*o - 420*o - 322*o - 380*o.\nAnswer: -1284*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -263729 divided by -1\nAnswer: 263729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4018*d**6*w**2 + d**2*w + d**2 + 186*d*w**2 + 4*w**2 wrt d.\nAnswer: -482160*d**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -6. Let a = -2 + 1.6. Let v be 3 + 10*(-5)\/14. What is the nearest to 0 in a, h, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwbb. Give prob of picking 2 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -26914, -3, 4, 3 in increasing order.\nAnswer: -26914, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 187 + -170. Suppose 20*t = x*t + 657. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**5\/60 - p**4\/8 + p**3 + 447*p**2. What is d(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 7*m**2 - 6*m + 9. Let q be x(6). Let a be (q - -17)*1\/2. Let l = a - 10. Solve l*k - 3 + 18 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 + -42 + 19 + -56\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 91\/52*((-96)\/(-686))\/6\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1033130 (base 4) to base 10.\nAnswer: 5084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 - 0?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 99001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (1 + 1 + -4 + 3)) + -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 377769 to the power of 1\/2, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**3\/6 + 4*m**2 - m. Calculate the least common multiple of u(0) and (-17)\/(-85) + 118\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckz when three letters picked without replacement from {z: 1, v: 1, k: 10, e: 2, c: 6}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + y**2. Let l(t) = -56*t**3 - 5*t**2 + 0*t**2 + 49*t**3. What is -6*d(a) - l(a)?\nAnswer: a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 518 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166070 - 166070.0077579. Round k to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -2232*r**5\/5 - 1097*r**3\/3 + 2407. What is the third derivative of m(h) wrt h?\nAnswer: -53568*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 22073.72 decades?\nAnswer: 2648846.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133 - -2?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*s + u - 33, 2*s = -3*u + 9. Solve 2*i = 5*i - 3*z + s, 5*i + 19 = -4*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(4\/3))\/v**8)**(-8)*((v**(-5)*v)\/v*v\/v**(-3\/4))**(-32) assuming v is positive.\nAnswer: v**(448\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3748 + 3751. Solve g + 28 = -4*g - q*i, -g - i = 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g**5 - 36*g**4 - 36*g**3\/5 + 68*g**2\/5 + 24*g\/5 = 0.\nAnswer: -1, -2\/5, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 202902\/1690850*(-40)\/(4\/2)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - 19*f + 18. Let w be u(-10). Suppose k - 3*i + i = w, -i = 5*k - 51. What is the remainder when 159 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b1 + -2?\nAnswer: 1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.783 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-10)*k*(k**(1\/5)\/k)\/k)\/(k**(-2))**(1\/26))**(-22) assuming k is positive.\nAnswer: k**(15334\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 11:47 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n - 6 = -16*n. Let w(u) = -u**2 + 2*u + 14. Let z be w(5). Calculate the lowest common multiple of n and z\/5 - (-976)\/80.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -1356df?\nAnswer: -1356e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 124*i**3 + 5028*i**2 - 3112*i - 2052. Let z(t) = -50*t**3 - 2011*t**2 + 1245*t + 821. Let k(j) = -5*d(j) - 12*z(j). Factor k(r).\nAnswer: -4*(r - 1)*(r + 51)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76670407*u**3 - 5124*u + 12719?\nAnswer: 460022442*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmmmmmmqqmmqmmqmqm. Give prob of sequence mmm.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 4*r**2 + 4*r**2)*(-8*r - 1 + 9*r - 3*r).\nAnswer: -2*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 8:28 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -2*s - 2, 78*j - 40 = 4*s + 83*j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2801758 less than -2801776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97 + 25. Let v = m - -93. What is the highest common divisor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.56, -0.02, 0.4, -2\/5, -2 in increasing order.\nAnswer: -2, -1.56, -2\/5, -0.02, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u**(-16)\/u)*u*u**(-2)\/u assuming u is positive.\nAnswer: u**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18271739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3332.728ng to kilograms.\nAnswer: 0.000000003332728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/107 in -0.1, 1\/4, -50341?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 45*n**3 - 4*n**2 + 11*n. Let t(x) = 46*x**3 - 5*x**2 + 13*x. Let i(h) = 4*p(h) - 3*t(h). Find the second derivative of i(g) wrt g.\nAnswer: 252*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from vgfg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 3)\/1 - -1. Let f be (12\/(-9))\/(t\/(-3)). Suppose f*o = h + 10 + 8, o - 9 = -2*h. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50995)\/(-94))\/(-35)*1\/(25\/(-10)).\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 4*o = 6. Suppose 4*q - 4 = 4. What is the remainder when q is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -36, -49, -62?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = i + 2. Suppose -34 = -5*k + 2*x, -4*x - i = -3*k + 4. Solve -3*u**2 - 12*u**3 - 2*u - k*u**3 - 9*u**2 - 8*u**4 = 0 for u.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6 = -4. Let h(j) = -j**2 + 7*j - 8. Let c be h(7). Let p be (c\/6)\/(6\/18). Put 4, l, p in increasing order.\nAnswer: p, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0884310394 rounded to 6 dps?\nAnswer: 0.088431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/3810 and 73\/150.\nAnswer: 19050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 667.9522 rounded to 1 decimal place?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5191.71 millennia in centuries?\nAnswer: 51917.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*r*s**3 - 51*r*s**2 - 1976*s**3 wrt r.\nAnswer: -6*s**3 - 51*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11844 + -12043.09. What is q rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15718 (b) 1433 (c) -1\/2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.8 + 0.8. Let w = m - -3.01. Let j = -0.006 - w. What is j rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + -3 + (36 - 2). Let k be (-1042)\/(-13) - b\/182. Suppose s - 3*q - 22 = 0, 0 = 4*s + 2*q - 26 - 34. What is the greatest common divisor of k and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2548*p*u**2*x - 69*p*u**2 + 1290*p*u*x + 2*p*x**2 - 2*p*x + 4*p + 19*u**2*x**2 - 2*u*x - 23*x**2 - 1 wrt u?\nAnswer: -5096*p*x - 138*p + 38*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 1)*(170 - 170 + 11*r) + (-1 + 0 + 2)*(-2*r + 0 + 0) in the form o*r + a and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -5*y - 0*y, 3*o - 12 = y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1715*u + 1766*u = -1716*u + 870*u + 116829 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*u + 0 + 0 - 94*u.\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 + -5c0894?\nAnswer: -5c08b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/3))**(19\/5)\/((i\/(i\/i**(3\/7)))\/i**(-5)))**38 assuming i is positive.\nAnswer: i**(722\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904884985?\nAnswer: 5, 3823, 47339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30675 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -109*c + 39*c + 107 - 107. Let b(d) be the third derivative of -8*d**2 + 0*d + 1\/840*d**6 + 1\/42*d**4 + 1\/105*d**5 + c + 0*d**3. Solve b(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1221610\/585 - ((-2)\/(-9) + 0\/7) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(704) + -2) - (5 + -2*sqrt(704) - sqrt(704)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -91 (b) -363 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 989449 - 5969713\/6. Let t = -5485 - n. Let j = -101\/104 - -87\/26. What is the common denominator of t and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61474552?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-4) + 13\/(260\/(-128)). Put q, 3\/4, -143\/3, 4 in descending order.\nAnswer: 4, 3\/4, q, -143\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 3346.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 806*y + 789. Let u(r) = 1213*r + 1184. Let g(f) = -5*u(f) + 8*x(f). Find the first derivative of g(s) wrt s.\nAnswer: 383","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*m + 38 = -2*m, 32 = 3*i - 4*m. Let v = i + 8. Calculate the remainder when 46 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 14*s**2 + 31*s - 14. Determine v(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43004625619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2)*(-7 - 20*t + 73 + 22*t) - 3 + 3 - t + (4*t + 0*t - 5*t)*(-2 + 0 + 0) + t - 1 + 1.\nAnswer: 8*t + 198","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 7*h - 4*h - 10, -2*g + 4 = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -1 (c) -11 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16259 is divided by 1639?\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6942941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/5)*((d\/(d\/d**(-2\/7)))\/d)\/d)\/(d\/d**1*d*((d\/(d\/(d\/(d\/d**2*d)))*d)\/d)\/d) assuming d is positive.\nAnswer: d**(-136\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.8 + 2.2. Let k = -6.78 + 5.78. What is the nearest to k in v, -4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -202022003230?\nAnswer: 202022003220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 5:11 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -17. Suppose 0 = 2*l - w - 14. Calculate the smallest common multiple of l and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -802 - -802.4. Which is the nearest to 3? (a) 4 (b) 0 (c) m (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - p - 1. Let f(m) = -8*m**2 + 5*m - 7. Calculate -4*d(i) + f(i).\nAnswer: -4*i**2 + 9*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225 by 36.\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/47? (a) -1 (b) -0.8 (c) -7\/4 (d) -1\/6 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 56807, 113626, 170449, 227276?\n\"Answer: 2*m**2 + 56813*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7423 - -814.2.\nAnswer: -6608.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051 times -6?\nAnswer: 0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 845*p**4 + 304980*p**3 + 27658980*p**2 + 25336800*p + 5832000.\nAnswer: 5*(p + 180)**2*(13*p + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 0.853, -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2160) - (sqrt(2160) - (sqrt(2160) - (sqrt(2160) + sqrt(2160) + (sqrt(2160) - (sqrt(2160) - sqrt(2160)*2))))))*3)\/(2*sqrt(80)*-6).\nAnswer: 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 3*g = 2015. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83459 is divided by 76811?\nAnswer: 6648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - 4*s**3 + 4*s**3)*(2*s + 0*s - 3*s) + 4*s**4 - 10*s**4 - 2*s**4.\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20223366*v**5 - 2*v**2 - 140939292*v.\nAnswer: 404467320*v**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0837 + -465.9163. Let i = t + 466.00714. What is i rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = s, w - 5*w = 3*s + 7065415 - 7065450 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3\/13 - 505644*b**2\/13 = 0?\nAnswer: -252822, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 309728.\nAnswer: 619456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 746*o - 285*o + 1638*o + 732*o to the form s*o + p and give s.\nAnswer: 2831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23815867063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 24 = -3. What is the remainder when 267\/g - 2\/(-7) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 6*i**2 - 5*i + 2. Let w be c(5). Let v(q) = 3*q**2 + 3*q + 0*q**2 + 3 + w*q. Is v(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + -205518274014\nAnswer: -205518274041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 n when four letters picked without replacement from enennnnennnee?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**2 + 10*m. Let k(q) be the first derivative of -129 - 1\/2*q**2 + 0*q. Determine t(k(p)).\nAnswer: -5*p**2 - 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 20*z + 50.\nAnswer: 2*(z - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -9*w**2 - 5. Suppose j - 1 + 8 = 2*i, i = j + 5. Let x be 3\/(-9) - (-23)\/j. Let y(v) = 14*v**2 - 3 + 3 + 8. Determine x*h(n) - 5*y(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 11*u + 27. Let p be w(6). List the prime factors of 135\/(p\/3)*(-6)\/5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r**3 - 11*r**3 + r**3)*(-3*r - 2*r + 2*r + (-2 + 2 + 2*r)*(-6 + 3 + 2) - 2*r + 5*r - 5*r)*(-38*r + 17*r - 16*r).\nAnswer: -4662*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (32\/(-48))\/((-4)\/23934) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 + 19*t + 10. Let h(f) = -10*f**2 - 57*f - 29. Let w(q) = -2*h(q) - 7*j(q). Let x be w(-18). Solve 2 = 2*b - x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.5 - -15.02. Let v = i + 1.98. Which is the closest to v? (a) 0.2 (b) 2\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v. Suppose 81*p - 28 = 88*p. Let t be (p\/(-16))\/(7\/56). Let w(r) = 2*r**2 - 10*r. What is t*w(h) - 20*j(h)?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*h = -p + 9, -5*p = h + 39. Let y = -0.29 - -2.29. Put p, y, -2\/3, 3 in ascending order.\nAnswer: p, -2\/3, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upi when three letters picked without replacement from {i: 1, g: 1, u: 1, p: 1, d: 3}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12481990583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 0 - (-3 + 2). Suppose -78 = -5*y + n*u, 4*u - u + 29 = 2*y. Solve -r + y = -4*t, 2*t + 17 - 3 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22110332032 + 0?\nAnswer: -22110332032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3010*i + 1506*i + 1503*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12340421 (base 6) in base 4?\nAnswer: -1202013331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3570 = 3550, 0 = -3*n - 3*z + 21 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 13*n**2 + 23*n + 13. Let g be f(-11). Sort g, 3, -2 in decreasing order.\nAnswer: 3, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**2 - 5*l**3 + 6*l**3 + 3 - 4 to x*l**3 + p + o*l + d*l**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 - 25. What is the remainder when 333 is divided by k?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 3)\/(6\/78). Let d = -5367 + 21313\/4. Let x = i + d. What is the smallest value in 1\/2, x, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.836+90196\nAnswer: 90195.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.195 - 0.005. Let o = -2 + 6. Which is the nearest to t? (a) 4\/3 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 877540 less than 37.5?\nAnswer: -877502.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/157, -0.2, 0, -2, 1 in increasing order.\nAnswer: -2, -0.2, 0, 10\/157, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*t**2 + 308*t + 469*t + 11*t**2.\nAnswer: 48*t**2 + 777*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g + 12 - 12 + (2 - 2 - g)*(1 - 4 + 1).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -29, -44, -51, -44, -17, 36, 121?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 1. Let f(t) = -1. Let p(y) = f(y) + x(y). Let m(s) = s + 5. Let q(r) = r + 2. Let u(a) = 2*m(a) - 5*q(a). What is u(p(c))?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 0.3 (c) -4 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(176) + 1 + -3*(sqrt(176) + 0))**2.\nAnswer: -96*sqrt(11) + 740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8*104\/80 + (-6)\/10. Put -0.2, 3, n, 4\/5 in ascending order.\nAnswer: n, -0.2, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 8*l**2 + 5*l + 6. Calculate o(8).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 8*x = 40 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 1\/587 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let t = -147 + 152. Suppose -s + t*s - 160 = z. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 217555918?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -255 - -135. Let q = 83 + h. Let g = q - -63. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*v + 1 - 23 = 0, -3*y - 4*v + 26 = 0. What are the prime factors of y\/(-9) - 1*654\/(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1137, 2270, 3403, 4536?\n\"Answer: 1133*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19981807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0414 - 31.3414. What is j rounded to 0 decimal places?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.8 - -11. Let c = 6.2 - x. Sort 3\/2, c, 2.\nAnswer: 3\/2, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -462 + 457. Let g = -750.1 - -705. Let q = g - -45. Which is the nearest to -4? (a) y (b) q (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a - 90*a**3 - 95*a**3 + 3*a + 187*a**3.\nAnswer: 2*a**3 + 26*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waaa when four letters picked without replacement from {r: 1, a: 4, f: 2, w: 7}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.074 and -16424491147.2.\nAnswer: -16424491147.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -88?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, -82, -232, -442, -712, -1042, -1432?\n\"Answer: -30*s**2 + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132971 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/8)\/(1495\/3588)*5.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x**2 + 2*x + 1. Suppose 4*g = 0, 6*q = 3*q - 2*g + 12. Let i be 10\/(-15)*q*(-6)\/(-4). Let n be (i\/(-6))\/((-28)\/42). Determine f(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -11*i**2. Let w(k) = 2*k**2 + 26*k + 26. Let c be w(-1). Let b(f) be the second derivative of 0 - 1\/6*f**3 - 6*f + 0*f**c. What is b(h(y))?\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqaak. What is prob of picking 1 k and 1 a?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 - -80. Let t = 7 - 4. Let b = t - c. What is the closest to 1 in 2\/13, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -13*s**2\/2 - 11*s + 452. Let h(j) = -9*j - 8. Let y(i) = -10*i - 9. Let c(v) = 3*h(v) - 2*y(v). Give -7*c(r) + 4*n(r).\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/((sqrt(11) - sqrt(1331))*-6) + -3 + 3.\nAnswer: sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1492 divided by -1492?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) -2\/5 (c) -17\/5 (d) -2 (e) 0.06 (f) -8.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1694)*-3 - sqrt(14))\/sqrt(7) - (sqrt(50) + 1 + 1)**2.\nAnswer: -54*sqrt(2) - 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -254192.\nAnswer: 3\/254192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.15 and 526141?\nAnswer: 526140.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-56)\/105)*24\/(-30)*280\/15\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -6\/25211?\nAnswer: -6\/25211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0039834921 to four dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160 + -36 - 161) + -26.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-11295)\/4050 - (-4 + 0) and 3\/22.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -49 (b) 0.044 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (56\/21)\/((-2)\/9). Let d = 12 + p. Suppose t + 2*t = d. Solve -2*x + s + 6 = 0, -3*s = 5*x - t*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8320750.\nAnswer: 2, 5, 83, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90758 and 1426?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 5*l + 5. Let x = 8 + -4. Calculate the least common multiple of 1 and v(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2\/5 (c) 7 (d) 43\/52 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 110100101110011011 (base 2) to base 3\nAnswer: 101222020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*f + 940, 5*w - w - 5*f = 980. Suppose 7*l = 3*l + w. Let v(x) = -4*x - 20. Let k be v(-8). What is the highest common divisor of l and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*w + 151, 0 = 5*w - 7*m + 4*m - 225. Suppose -2*g - 91 = -103. Calculate the greatest common factor of g and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -58 (c) 100990\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12052617 divided by 2.\nAnswer: -12052617\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7284?\nAnswer: 2, 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8178, 16363, 24548, 32733, 40918?\n\"Answer: 8185*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - -3.08. Let r = 3.7892 - 8.7892. What is the closest to -0.1 in -7, h, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7775567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000036540386 to seven decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 6\/5, -117\/233 in ascending order.\nAnswer: -62, -117\/233, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3217188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o - 7. Let w(x) = -5*x + 8. Let r(t) = -4*b(t) - 3*w(t). Let c be ((-5)\/((-10)\/396))\/(-1*1). Let p = -195 - c. Calculate r(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2515*f**2 + 382*f**2 + 510*f**2 + 2648*f**2.\nAnswer: 6055*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*w, z + 2*w = -0*w - 115. Let v = z + 230. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5996*v**2 + 1685577*v - 1685577*v to the form w*v + m + j*v**2 and give j.\nAnswer: -5996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, j: 1, v: 2, r: 3}. Give prob of sequence vj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -35*y**2 + 34*y - 47. Let h(b) = -17*b**2 + 18*b - 25. Give -6*g(z) + 11*h(z).\nAnswer: 23*z**2 - 6*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -52. Suppose a*r + 18 = 2*q - 3*r, 2*q - 14 = 2*r. Solve o + 5 = 5*m, -2*o + q*o - 1 = -m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/6 and 19\/49?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 16. Suppose 3*t + 95 = 8*t. Let m = t + v. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - 46. Let v(t) be the second derivative of 0 - t - 5\/6*t**3 + 3\/2*t**2 - 1\/12*t**4. Give v(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 2.4 (c) 0.1144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1*sqrt(272) + sqrt(272))**2 + -1 - (-5 + (-6*(sqrt(17) + 0) - 3*(sqrt(17) + 1))))*6.\nAnswer: -138*sqrt(17) + 6594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 16 = i + l, 2*i - 32 = -4*l. Solve -5*h = 4*d + i - 5, -2*d = 5*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.746684 rounded to 0 decimal places?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, o: 19}. Give prob of sequence oooo.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -197 times -909237\nAnswer: 179119689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/(-10))\/(9\/(-12)). Solve 17 = q*b - 5*v, -19 = -4*b + 5*v - 0*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5326561\/161 - 233710\/7. Let c = -303 - o. Let h = 6 - 4. Is c at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-273)\/39*(-22)\/((-4620)\/(-162))\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(28))**2 + 3)*-1.\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 19. What is c(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2340510705?\nAnswer: 3, 5, 13, 23, 197, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.6, 4\/4743, 0, 3\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 40 - 17\/(153\/(-72)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58602 (base 9) to base 4.\nAnswer: -21203111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2371 = -6*x - 2173. What is the smallest common multiple of x and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 2 - 8*x + 9*x)*(-3 - x**2 + 3).\nAnswer: 2*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((0 + -1)*-1)\/1. Let v = l + -1. Let p = -89 - -353\/4. Which is greater: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*p - 21. Let l = -38.9 + 39. Which is the nearest to l? (a) 0.1 (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18236 and 188.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29178, -59571, -89964?\nAnswer: -120357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (85\/68 + 3)\/(1\/(-4))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*462\/33.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 726 + 1012*b + 2\/9*b**4 + 140\/9*b**3 + 904\/3*b**2 = 0.\nAnswer: -33, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18128 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 225 - 41 = 0. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 18 - 29 + 10 + 17*y. Let u(z) = z**3 - 10*z**2 + z - 7. Let f be u(10). Suppose -f + 2 = -c. Calculate g(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -597*s + 2*s**3 - 190*s**2 + 331*s + 264*s + 190 = 0. Calculate s.\nAnswer: -1, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 8:13 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -36\/5 (b) 100 (c) 5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 1. Let l(i) = -i + 1. Let f(o) = 6*l(o) + 5*m(o). Let j be f(-2). Solve 3*r = -3, -j*r + r = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 - 18*x**2 + 12*x + 32.\nAnswer: 2*(x - 8)*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.2 and -211864.2.\nAnswer: 466101.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 23560740?\nAnswer: 1\/23560740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) 5 (c) -0.4 (d) -332\/413 (e) 3\/2 (f) 2 (g) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1421 and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67476 and 106837?\nAnswer: 1282044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3315*p**2*z**3 - 45*p**2*z + p*z - 15*p - 2*z wrt z.\nAnswer: 19890*p**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 285 and 1520.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870*s - 2596 = 221*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173086 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1294*m + 2597. Let z be j(2). Let y(g) = -g**3 + 3*g**2 + 6*g + 5. Let r be y(5). Which is bigger: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2268)\/126 + 23\/1. Let d(x) be the first derivative of -21 + 1\/9*x**3 + 1\/6*x**4 + 0*x + 1\/15*x**l + 0*x**2. What is k in d(k) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-20))\/((-2)\/5). Let r be 26*(-9 - (-5 - 5)). Let d be (r\/(-104))\/(2 - 1). Which is the biggest value? (a) -0.2 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14434424763293 less than -1?\nAnswer: -14434424763294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 255.3 + -260.3. What is the fourth smallest value in -2, z, -14, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33986 - 33983. Let z(t) be the first derivative of 8\/5*t + 1\/3*t**2 - 14\/45*t**v + 47. Let z(x) = 0. What is x?\nAnswer: -1, 12\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800) + (sqrt(800)*-1 + -3 - sqrt(800)))*4 + (1*sqrt(1250) + sqrt(50))*1 + 2.\nAnswer: -50*sqrt(2) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t - 10. Let m be 2 - ((-1)\/1 - 1). Let g be a(m). Suppose 4*z = -2*k + g*k + 124, -5*z + 155 = 4*k. List the prime factors of z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) 21\/4 (c) 4 (d) -948 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1051730 less than or equal to -1051603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 4*m + 7. Let a(c) = 3 + 5*c - 1 + 4 - c - 15*c**2 + 14*c**2. Calculate 7*a(l) - 6*t(l).\nAnswer: -l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f. Let u = 210 - 202. Let p(w) = -3*w**2 + w**2 - u*w**2 + 5*w**2. Determine p(r(o)).\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**5 - 40*h**3 - 80*h**2 - 60*h - 16 = 0. Calculate h.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 322\/3 + 104*t**3 + 1972\/3*t**2 + 664*t + 10\/3*t**4 = 0. What is t?\nAnswer: -23, -7, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j - 2. Let a be i(-2). Factor 9*b**3 + b**4 - 5*b + 6*b**3 + 9*b**a.\nAnswer: 5*b*(b + 1)**2*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 456*t + 373.\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 37965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 + 9*m - 3 + m**2 + 6 + 0*m to i*m**2 + u + c*m and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.2, -15\/7, 2, -3\/2.\nAnswer: -15\/7, -3\/2, -2\/3, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8664015 and 65?\nAnswer: 112632195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-9) - (-10)\/(-3). Let n(t) = t**3 + 15*t**2 - 5*t - 31. Let y be n(-15). Suppose -y*f + 46*f + 8 = 0. Are f and o nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7135576\/11 or 648689?\nAnswer: 648689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -205*v**3 - 214*v**3 + 422*v**3 - 12*v - 1 + (4*v - 5*v + 0*v)*(v**2 + 2*v**2 - 5*v**2).\nAnswer: 5*v**3 - 12*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 4*c + 62 + 58, -5*c = 3*l - 59. Suppose -l = -z + 72. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 10 = -5. Let x be 1 - (3 - (51 + -1)). Suppose 4*h + 16 = -2*w + x, 33 = b*h - w. Calculate the highest common divisor of h and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 182, 274, 366?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84652, -84663, -84676, -84691, -84708, -84727, -84748?\nAnswer: -84771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*o + 43 = 11, -3*a - 48 = -4*o. Let y = -25 - 1. Let i = a - y. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 7400000. Suppose 3*m = 4*n, 0*n - 3*n = -2*m. Suppose -5*t = -m*t. Let s be y(t). Round s to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -70752 divided by -12?\nAnswer: 5896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 10 + 3*s**3 + 5*s**2 + 3*s**2 + 8*s - 2*s**3. Let u be b(-7). Find the first derivative of u*t - 3*t - t - 3 wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(-244)\/(-549)*(-12)\/(-28)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -14. Let v(o) = -o**2 - 18*o + 2. Let a be (-2)\/6*-3*-17. What is the remainder when v(a) is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -3, 5, 2602 in increasing order.\nAnswer: -5, -4, -3, 5, 2602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 6:22 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10453, 0.\nAnswer: -1, 0, 10453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 115, 328, 637, 1042?\nAnswer: 1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -26816205 divided by 5363241\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 + 39672913459*t - 39672913459*t + 4*t**2 + 0*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00319 less than -2980113?\nAnswer: -2980112.99681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - 2*k**3 + 2*k**3 + (2 - 2*k - 2)*(k**2 - 2*k**2 + 3*k**2) - 6*k**2 - 2*k**3 + 6*k**2 + (0 - 2*k**2 + 0)*(3 - 3 - 2*k) + 4*k - 2*k**3 - 4*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 + 54\nAnswer: 55.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 182?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5*i = 31, 3382168*v + 4*i = 3382163*v + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 0\/2)\/(-1). Suppose -4 = w*y - 3*y. Suppose 16 = 37*t - 35*t - 2*r, 5*t + 5*r = 20. Solve j - t = y*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560426 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 712\/10 + (54\/(-30))\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 6*n + 10. Let u be i(7). Let l(d) = 41*d**2 + d. Let g be l(-1). Suppose 0 = 3*f + 4 - g. Solve 0*c = u*c - f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2)\/3 - 78\/(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 776640 - 236640. Suppose -u + f = u. Round u to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**3 - q**2 + 2*q + 50. Let d be t(1). Solve 0 = -s - x + 6, -2*s + d*x + x = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*f + 2*f**4 + 8026*f**3 - 8026*f**3 wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b - 15. Let p(q) = 3*q - 7. What is -2*h(j) + 5*p(j)?\nAnswer: j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvn when three letters picked without replacement from nmxtvvxmjxmnxxmmx?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -33. Let r(q) be the second derivative of -1\/30*q**z + 0*q**3 + 0*q**5 + 0*q**2 - q + 0 + 1\/3*q**4. What is the third derivative of r(b) wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 9158?\nAnswer: -9\/9158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12100221221 - -101120112?\nAnswer: 12202112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/10 and -9\/1300.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 14.8 (b) 2\/3 (c) 3 (d) -4 (e) -2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 48691106137 and -4.\nAnswer: 48691106133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l. Let d(w) = w**3 + 4*w**2 - 2*w - 6. Let j be d(-4). Let o(m) = 2*m**2 + 2*m**j + 5*m**2. Give z(o(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.035 - -10.07. Let u = -0.3 + -7.7. Let i = a + u. What is i rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 1\/24*q**4 - 1\/60*q**5 + 0 + 0*q**3 + 28*q + 2*q**2. Suppose 3*r - 13 = -4. What is c(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o - 33*o + 75*o = 226110. What is the ten thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(720)*-1 + -5 - (0 + sqrt(720) + -3)) + -4)**2*-3.\nAnswer: -52488 - 5184*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4132421 + 2?\nAnswer: -4132417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + (-16 + (16 - 2) - 0) + (-1 - -2).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 - 398 = -55*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 8. Suppose -3*y + 71 = 3*n - 7*n, -w*n + 24 = 2*y. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 3*j - 50. Let r = -6 + j. Solve -r*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 - 95. Let k be j + (-14004)\/3333 - 4\/(-22). Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -113535696 or -113535697?\nAnswer: -113535696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5*p**2 - 125*p + 125*p)*(19*p**2 + 9*p - 9*p) to the form j + g*p**4 + y*p**2 + h*p + r*p**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1788370 to the nearest integer?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqfl when four letters picked without replacement from lflhhfnqlqlf?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.917384 + 0.082166. Let q = 2.37 - -0.63. Let n = w - q. Round n to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -363*v**3 + 49712916*v**2 - 9038703*v + 410850.\nAnswer: -3*(v - 136950)*(11*v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 100? (a) 3\/2 (b) 0.5 (c) -0.2 (d) -29 (e) -256\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**8\/560 + y**7\/350 + y**6\/100 - 21*y**2\/2 + 4*y. Let r(u) be the first derivative of b(u). Let r(p) = 0. What is p?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 + z + 2. What is the tens digit of f(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009818 to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -2.0879?\nAnswer: -0.41758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 162 = -0*u. Let r(f) = 7*f**2 + u + f**2 - 55. Is r(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 11, -0.5, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/4, -1\/2, -3, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.9 - -4. Let p = 0 + -3. Let x = p - -6. Sort 0, c, x in ascending order.\nAnswer: 0, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 78*h - 3*h**2 - 78*h - 2*h**2. Let s(c) = -c + 2. Let l(z) = 9 - 4*z + 2*z - 4. Let i(q) = -2*l(q) + 5*s(q). Determine i(r(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 81059 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 common denominator of -37\/4010 and -4\/340449.\nAnswer: 3404490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 + -2?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/16 of a centimeter?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134070749 is divided by 2388?\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**3\/6 - 6*m**2 + 54*m. Let z(a) = a**3 + a**2 + 2*a + 5. Suppose v + 5 = l, v + 2 = 4*l - 18. Let q be z(v). Give s(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3725*x**2 - 19511545*x - 26190 = 0.\nAnswer: -1\/745, 5238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/4*(-84)\/(-3). Suppose -v = 57 - q. Suppose 4*g - v = -40. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 6534 = -2*d, -d = -2*v - 637 - 2634. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, -18, -48, -92?\n\"Answer: -7*f**2 + 5*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 - 578. Let w = -499 - x. Which is the closest to -1\/3? (a) -2\/7 (b) w (c) -0.5 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 84.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19786621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 132, 0.04, 18\/11, 0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -74736*v - 2316851. What is h(-31)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.2 + 8. What is the second biggest value in y, -1, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x = 9*x + 80. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 - 4 + 4*h - h**2 - h**2. Let n(m) = -m**2 - 12*m + 4. Let v be n(-13). Let q(b) = b**2 + 2*b - 2. Calculate v*q(s) + 4*l(s).\nAnswer: -s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1172638*d*i*r + 5624252*d*r - 2*r wrt i.\nAnswer: -1172638*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 times 206345.7?\nAnswer: 14031507.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 8*g - x + 131, -2*x - 102 = -4*g. Let n = 29 - g. Suppose -5*b = 0, 0 - 12 = -q + n*b. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238553504?\nAnswer: 2, 7, 37, 107, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 4, f: 3, l: 6, i: 5}. Give prob of sequence ta.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 36*w + 37*w - 67*w - 20. Let m be x(4). Suppose 1 - 19 = -3*f. What is the greatest common divisor of f and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1558 = 2*y - 6*y, -3*y + v = -1161. What are the prime factors of y?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 964.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d + 3*d**3 - 2*d + 4*d + (-5*d**2 + 0*d**2 + 9*d**2)*(5*d + 0*d - 3*d) - 3*d + 3*d + d**3 as v + f*d + c*d**3 + r*d**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 3*p + 7. Suppose -x + d + 29 = 0, 0*x - 67 = -3*x - 2*d. Suppose -29*c = -x*c + 20. Is o(c) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmms when four letters picked without replacement from {r: 11, m: 6, s: 2}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(2\/3)*(((v**45*v)\/v)\/v)\/v assuming v is positive.\nAnswer: v**(130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 1)*(398*d - 123*d - 194*d) to k*d + l and give k.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w - 2*w + 73 - 38 - 36. Let f(h) = h**2 + 4*h - 4. Let x(k) = k + 11. Let q be x(-11). Suppose q*a = a - 4. Calculate a*p(n) - f(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 51*s - 1 - 41*s)*(s**2 + 4*s**2 - 3*s**2).\nAnswer: -184*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(-u + 0*u - u) + 3 - u - 3 + (-2 - 2 + 5)*(3*u + 0*u - u) + 2*u + 5*u - 5*u to the form k + b*u and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 45 = 13*u. Suppose 0 = 3*o - 0 - u. Let h = 0.509 + -0.009. Sort 5, h, o in descending order.\nAnswer: 5, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5419 times 19\nAnswer: 102961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*t - 6 = -0*u, 5*t + 23 = u. Let j(c) = -3*c**3 + c. Let g be j(-1). What is the units digit of (g\/(-2))\/(u\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*r + 23 = 0, -13 = -2*v - 3*v - r. Suppose -5*c + 8767 = 4*m - v*m, -c + 1757 = 2*m. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.787 times -7.7?\nAnswer: -745.2599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 130625*c**3 - 15702*c + 1.\nAnswer: 783750*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2823, 2\/1109, 2?\nAnswer: 2\/1109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/7 - (-9816)\/56. Suppose -23 = -2*i - t. Let w be i*(3 - 7\/2). What is the greatest common divisor of 19 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113080 rounded to the nearest one thousand?\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -762444 + 249?\nAnswer: -762195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 100*p**2*y**2 + 6*p**2 + 22*p*y**2 + y**2 + 12544 wrt y?\nAnswer: 200*p**2*y + 44*p*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(1\/5)*t*t*t*t**(-2))**(-28\/9)\/(((t*t*t*t**(1\/3))\/t)**7\/((t*t**(-1)*t)\/t**(1\/9))) assuming t is positive.\nAnswer: t**(-127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, 919, 47, -9 in ascending order.\nAnswer: -9, -0.14, 47, 919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.99 - -0.01. Let d(a) = -14*a + 103. Let b be d(7). What is the third smallest value in -3, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 6a38a?\nAnswer: 6a38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*k = 85, 3*u + 0*k = -2*k + 63. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 773820326397 less than 291?\nAnswer: -773820326106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((6*(sqrt(396) + -2) - (sqrt(396) + (5 + 2 + sqrt(396) - sqrt(396)))**2) + (5*(-1 + sqrt(396))*4 + 0)**2).\nAnswer: -316686 + 9696*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 7416 + 2748 = 277*t + 12506 for t.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65250 and 137286.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72951 is divided by 813.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:11 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -12*k**2. Let t(b) = -41017*b**2. Determine s(t(p)).\nAnswer: -20188731468*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2) + (-6)\/8. Let y be (3 - 0)\/((-17)\/2). Let c = y + 29\/34. Which is smaller: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3220 + -12877\/4. What is the closest to -6 in 5, 0, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*c**2 - 480*c + 355.\nAnswer: 5*(c - 1)*(25*c - 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 278*g - 965 = 0, 0 = -c - 4*g - 6 - 95 - 4 for c.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 656 (base 7) to base 9\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2. Let i(p) be the second derivative of -1\/6*p**3 + 0 - 4*p + 0*p**2. Give i(l(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003104 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 18 + -23 + 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1017037053 to the nearest integer?\nAnswer: 31891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p - 1. Let s(j) = -5*j - 1. Determine 3*n(x) - 2*s(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-12))\/5*2538\/24111?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697734461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -41*d + 819. Calculate h(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1756968997 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14748517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m - 9. Let b be (-1)\/m + (-4)\/(-30). Is -1 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-37)\/22 + (-32)\/(-176) + 62877\/2.\nAnswer: 3, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 7:31 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 - 23*u - 25*u + 46*u)*(1 - 5 - 2) to the form p*u**2 + l*u + y and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -5) + (-2 + 7 - 6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tlglm. What is prob of sequence gmmt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.6 - -1.8. Let u = -11.9406387 - -0.1362587. Let k = c - u. Round k to four decimal places.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14050752 and 7872?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 112 or 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l - 2. Let u(i) = -44*i + 44. Let d(g) = 6*f(g) + u(g). Let s(p) = -5*p + 6. Let o(w) = 3*d(w) - 16*s(w). Let r(h) = 227*h. Give o(r(j)).\nAnswer: 454*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 17*r**2 - 20*r - 25. Determine h(-17).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 11) to base 2\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 8 + (-3 - (-33 - -27))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 17. Let a be f(-11). Let p = a - -8. What is the common denominator of -61\/8 and 786\/(-12)*p\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37762, -37766, -37782, -37816, -37874, -37962, -38086, -38252?\nAnswer: -38466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4820*f - 4002 = -4889*f for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -187.32345 to the nearest integer.\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -k + 79, -k + 61 = -3*b - 2*k. Let s = -18 - b. Suppose 2*q - 113 = -0*q + 3*d, 0 = -s*q - 2*d + 88. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**2\/17 - 1662004*q\/17 + 345282162002\/17 = 0.\nAnswer: 415501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47.744 - -90.63.\nAnswer: 42.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r. Let b = -5 - -6. Find the first derivative of -1 + b + 1 - h**4 + r*h**4 wrt h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2575947089 to the nearest integer?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-14) + 150\/42. Suppose 6 = -3*k - 3*m - 3, -k - g*m - 13 = 0. Suppose -5*l - k*p + 2 + 17 = 0, 3*p = 6. Solve 0 = l*o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**5 + 2*m**5 + 0*m**5)*(0 - 4 - 1).\nAnswer: -10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 = 2*t. Suppose -4*w + 21 + t = -4*n, 4*n = -3*w - 3. Solve -5*v - 57 + 20 = 3*l, w*l - 8 = 4*v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 596488 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 - (104 + -113).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 1, -2, 3 in ascending order.\nAnswer: -4, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m = -28*m - 33 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 0.04, -0.6, -1.2, -48, 1\/9?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -152774 (base 14) in base 4?\nAnswer: -2303321202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*j - 11761 = 13910 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*i**2 + 41*i**2 - 102*i**3 + 91*i**3.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3179524 is divided by 445?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 9 + 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3650000 to the nearest 100000.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 25223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(6*(sqrt(1573) + 0 + sqrt(1573)) - (-3*1*sqrt(1573) + sqrt(1573) - sqrt(1573))))**2.\nAnswer: 1415700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*q + 73*q - 738055 = 287225. Is q a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**4\/4 + 2*b**3\/3 + 3*b**2\/2 + 3*b - 1. Suppose 5*s + 10 = -0*s. Let k be r(s). Sort 2, -2, k.\nAnswer: k, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -271*y**2 - 3*y. Let o(f) = -544*f**2 - 5*f. Calculate -3*o(t) + 5*u(t).\nAnswer: 277*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -1, 0.7, -16, 2\/17, -6\/5 in ascending order.\nAnswer: -16, -6\/5, -1, 2\/17, 4\/7, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 542 minus 6540784?\nAnswer: -6540242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1035, 6, 0.4, 1\/85, 1\/9 in descending order.\nAnswer: 1035, 6, 0.4, 1\/9, 1\/85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 3.13121\nAnswer: 1.565605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 97*a**2 - 25*a - 142. What are the prime factors of u(-5)?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3824 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 0)\/(-1 - 2). Let w = 53.7 + -8.7. Let t = 49 - w. What is the smallest value in t, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*395\/((-4029)\/51)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 11:18 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77799054?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/1820 and 127\/30.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1064 + 3857. Calculate the remainder when b is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*r - 4, -a + 2*r = 0. Let f be 32\/(-112) - (-3)\/((-63)\/(-48)). Let x be ((-6)\/(-3) - -1) + -5 + -2. Put x, f, a in decreasing order.\nAnswer: f, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0392*-30.13\nAnswer: 1.181096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12201010210111 + -10?\nAnswer: -12201010210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*d - 51*d - 42*d = 1290 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 399880*b**2 + 8*b**3 + 48*b**3 + 399880*b**2.\nAnswer: 58*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 9 = -p - i, 5*p = -4*i + 30. Let y be (-6)\/(-27) + (-86)\/(-18). Calculate the greatest common factor of y and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 365421\nAnswer: 5\/365421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 476 - 476.4. Which is the second smallest value? (a) o (b) -2\/9 (c) 2 (d) -99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 1. Let j be p(-2). Let s = j + 1. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u. Let a be (-25)\/(-10)*16\/10. Suppose a*d - 6*d = 0. Let h(z) = d*z - z + 3*z. What is b(h(t))?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5d82e (base 15) in base 6?\nAnswer: 10223312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 10. Let a(x) be the second derivative of 1\/12*x**4 + b*x**3 + 0*x**2 + x + 0*x**5 - 1\/15*x**6 + 0. What is the third derivative of a(i) wrt i?\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -31*s**3 + 2*s**2 - s. Let j be o(1). Let t = 32 + j. Solve 2*m - 5 = 3*d + 3, 0 = t*d - m + 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (148\/38 - 9\/3). What is the closest to -1 in h, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 3, -3, 16, 13, 15 in descending order.\nAnswer: 16, 15, 13, 3, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*x + 3, -3*x + 6*x = s + 1. Let t = -212 + 215. Suppose -2*f - x = -t. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 12 = 7*c - 2*p, -c + 3 = -2*p. Let o = 3 + 0. Differentiate -4 + 3*d**2 + o*d**2 - c*d**2 with respect to d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Let x be k(-4). Let i = x - -6. Solve -6*b + 20 = -i*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -332 + 352. Let l(a) = -a**4 + a**3 - 2*a**2. Let p(v) = 8*v**4 - 10*v**3 + 28*v**2. Let f(r) = c*l(r) + 2*p(r). Factor f(m).\nAnswer: -4*m**2*(m - 2)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216 and 72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 124016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000505147212 to seven dps.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1510, -1501, -1478, -1435, -1366, -1265?\nAnswer: -1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1318 (base 13) to base 11\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5112*s**2 - 8*s + 6. Let o be g(6). Suppose 4*b + b - o = 2*y, -y + 4*b = 91992. What is y rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by 10145\nAnswer: -33\/10145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-1*(-45)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 219205.4 to the nearest one thousand.\nAnswer: 219000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -12*g**2 + 1 + 22*g**2 - 1 + 3. Let s(n) be the third derivative of n**5\/60 + n**3\/6 + 1295*n**2. Calculate 3*s(y) - x(y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 + 25*i + 30. What is f(10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28, 144, 428, 964, 1836, 3128, 4924, 7308?\n\"Answer: 14*i**3 + 18*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13322 - 123?\nAnswer: 13133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/9 - (-3)\/9. Let k be (0 - (-1)\/g)\/1. Let l(b) = b**3 - b**2 + b + 3. Let i be l(0). Is i > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeeesee. What is prob of sequence es?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 685679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20647, 20454, 20261, 20068, 19875, 19682?\n\"Answer: -193*g + 20840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpp when three letters picked without replacement from pllpll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*f = 31, 0 = -5*y + f + 3*f + 32. Suppose -204 = 2*x + 4*v - 528, y*v = -4*x + 628. Calculate the highest common factor of 19 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1194*k**2 - 1202*k**2 + 2*k - 55*k**3 + 2398*k**2 + 4 - 4 wrt k.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 573, 2229, 4947, 8691, 13425, 19113, 25719, 33207?\nAnswer: 41541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -281\/40 greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1854 and 1545?\nAnswer: 9270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 4*r**3 - r)*(8*r - 3*r + r) - r**4 + 3 - 3 to the form h*r + n*r**3 + o + p*r**4 + g*r**2 and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/((-1)\/(-2)). Let y = 3232 - 3220. Sort y, 1, h in descending order.\nAnswer: y, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(sqrt(32)\/sqrt(8)))\/(sqrt(3) + sqrt(108)*-4))**2*-2.\nAnswer: -6\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvdw when four letters picked without replacement from {w: 1, v: 3, n: 3, g: 7, d: 2, f: 3}?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1008, -1009, -1002, -981, -940, -873, -774, -637?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + 6 + (-6 - -98 - 0)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*p - 2090 - 1795. Let q(d) = 3*d + 19. Let g be q(-4). Calculate the highest common factor of p and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 - -118. Suppose g*s = 1816 + 2288. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -991270 to the nearest ten thousand.\nAnswer: -990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4\/4 + 42011*h**3\/2 + 1765764137*h**2\/4 + 8822436053*h + 42338016024 = 0.\nAnswer: -42001, -12, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168 + 99 + 94 - 56*n.\nAnswer: -56*n + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 14*m**2. Let x be 9\/(-6)*16\/6. Let p be 9\/5 - x\/20. Let z(k) = 593*k + 2*k**p + k**2 - 593*k. Determine i(z(g)).\nAnswer: 126*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 29. Let w be 11*1 + -1 + 1. Let g = 15 - w. Is g >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -41\/133600 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -23. Suppose 2*m - 3 = 1. Suppose 0 = m*g - 3 - i. Solve 0 = -2*h + 1 + g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 373, 364, 355?\n\"Answer: -9*m + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44678*p + 44398*p = -8960 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 769 = 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 99)*(-4)\/(-4). Suppose 4*v + 12 - 68 = 0. Calculate the highest common divisor of v and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -357*v + 362*v + 185 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2*n. Suppose 4*c + 36 = 4*z, 0 = 3*c - 4*c + 3*z - 13. Put n, 4, c in increasing order.\nAnswer: c, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -25234*n - 18572225. Determine f(-736).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 3 + 1 + -1. Suppose z - 38 = -2*z - p, -s*z = -p - 34. Solve 9*x - 5*x = -z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 78 = -2*b. Let j be -1*(b\/21 + -4). Determine u, given that -j*u + 2\/7*u**4 + 2\/7*u**3 - 2\/7*u**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4375122, 4375118, 4375110, 4375098, 4375082, 4375062?\n\"Answer: -2*f**2 + 2*f + 4375122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 0. Let c be -9*4\/(-36)*3. What is the third derivative of -4 + 7 - r - p**2 + 14*p**c wrt p?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/3)\/(g\/((g**3\/g*g)\/g))*g**5*g**(-2\/21)*(g**(-1\/4)*g*g)**(-11)*(g*g**(-2\/3))\/g*g**(1\/4) assuming g is positive.\nAnswer: g**(-101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 6*h - 3. Let t be f(6). Let u(j) = j**3 + 3*j**2 + 2*j + 4. Let n be u(t). Let b be 1\/(-2) - 5\/n. Solve -5*o + b = -3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 1 - 17*r**2 + 7*r**2.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29978318.00000056 + -29978320. Let t = x - -2. What is t rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 4\/7, -158?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7*20263.\nAnswer: -34447.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 7:43 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*m + 573, -571 = 5*i + m + 414. Which is smaller: i or -192?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*x - 10 = 0, -2*x = 4*s + 3*x + 25. Solve s*b + 2*b + 8 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 4494.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: bad (base 14) to base 7\nAnswer: 6506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 13. Which is the third smallest value? (a) 1 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - -52) + -4 + 1 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69\/521086 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/22 and 83\/832.\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 46 = -3*j. Find the third derivative of -1 - 17*i**j + i**3 + 46*i**2 - 18*i**2 - 7*i**4 wrt i.\nAnswer: -168*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*m - 3*l - 37, 2*l = -4*m + 18. Suppose 0 = -2*p + m*u + 4 + 7, 0 = -3*p + 5*u + 14. Suppose 7*n - 4 = p*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.04 + 0.64. Which is the nearest to -2? (a) -4 (b) k (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khhk when four letters picked without replacement from {h: 5, k: 9}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**3*k*k*k*k\/(k*(k*(k\/(k\/k**7*k*k))\/k)\/k)*k*k*k**(-2)*k**3\/k*(k*k*k**(1\/5)\/k*k)\/k*k\/(k**(-6)*k)*k*k**8*k**(5\/3) assuming k is positive.\nAnswer: k**(328\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.044 and 0.49?\nAnswer: -0.02156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 18. Let k be m(-9). Solve -k = -q + 4*c, 0 = -3*q - 2*c + 14 - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541886.\nAnswer: 2, 43, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*k**6 - k**5 - 152*k**3 - 7372*k**2?\nAnswer: 1080*k**3 - 60*k**2 - 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 91, -2\/3, 1\/160, 1\/5, 5 in ascending order.\nAnswer: -5, -2\/3, 1\/160, 1\/5, 5, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -3\/4*t**4 + 1\/3*t**3 - t + 3\/2*t**2 + 11. Factor l(p).\nAnswer: -(p - 1)*(p + 1)*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21.1 in -2\/7, -0.3, 0.142, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 7. Let d be c(-5). Suppose 95 = 5*v - 5*r, d*r = 9 + 1. Let w = -10 + v. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 5 - 22180*d - 35 + 20 as a + f*d and give f.\nAnswer: -22180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-47)\/q)\/(q*q\/(q**35*q)) assuming q is positive.\nAnswer: q**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9054.637ng to tonnes.\nAnswer: 0.000000000009054637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 95657561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4203 (base 7) in base 2?\nAnswer: 10111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*x**2 + 3*x**4 - 4*x**4 - 42*x**3 - 3*x**4 - 71*x**2 - 48*x + 7*x**4.\nAnswer: 3*x*(x - 16)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + (7076 - (-16 - (-56)\/7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 108. Let z be l(0). Suppose -a - z = -4*a. Let g be 1124\/a - 6\/27. Solve 0 = -5*r + 11 - g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(208) + sqrt(208)*2 + (-5*sqrt(78)*3)\/sqrt(6))*4)**2.\nAnswer: 192*sqrt(13) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l - 94. Let y = -345 - -326. List the prime factors of z(y).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t - 3. Let f(v) = -v**3 + 33*v**2 + 3*v - 92. Calculate the least common multiple of u(4) and f(33).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/2764395 and 85\/189?\nAnswer: 19350765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -612182718 bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 43328.2075?\nAnswer: 43328.7075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.72 plus 3140165503.73?\nAnswer: 3140165497.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-6)\/10)\/((-18)\/230)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -17*b**3 - 13*b**2 + 2*b - 11. Let o(i) = 9*i**3 + 7*i**2 - i + 6. Give 6*c(n) + 11*o(n).\nAnswer: -3*n**3 - n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**7\/21 - s**6\/6 - 53*s**4\/12 + 60*s. Find the third derivative of j(c) wrt c.\nAnswer: -120*c**2 - 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 + -17 + 37 + (22 - -3) - (0 + 7).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 7:18 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 548 and 936.\nAnswer: 128232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -99 - ((-15)\/5 - -4). Let z = -88 - c. Is 4 a factor of 16\/z*-47*6\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.65*2.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**3 - 5*n**2 - 56*n + 9. Let w(h) = h**3 - 2*h**2 - 19*h + 3. Let j(g) = -4*m(g) + 11*w(g). Is 6 a factor of j(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 5*p = -12, 0 = -4*t - 3*p - 163 + 159 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -135 + 8269023?\nAnswer: 8268888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1462 or 1461?\nAnswer: 1462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10*t - 142. Calculate b(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 + 37*n**3 + 3*n + 2*n - 4*n + n**2 + 39 to the form o*n**3 + m*n**2 + v*n + r and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - m + 50 = 3*m, -4*x + 100 = 4*m. Solve 5*n - x = -0*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 1:27 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i*r**3*v*y**2 + i*r**3*y**3 + i*r**2*v*y - 5*i*r**2*v + 4*i*v*y**3 - 7*i*v*y**2 - 4*r**3*v*y**3 wrt y?\nAnswer: 6*i*r**3 + 24*i*v - 24*r**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*(sqrt(80) + -1) + (sqrt(180) + sqrt(180)*4*-4)*-4 + 5)**2.\nAnswer: -768*sqrt(5) + 737281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 303031 and 1482437?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/2160 and -53\/11640.\nAnswer: 209520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 47 + 0 + (-1 - 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzk when three letters picked without replacement from {n: 1, u: 2, k: 3, z: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 84251789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 - 324*v**3 + 96 - 33 - v - 27 to m*v + d*v**2 + z + l*v**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 0*y**3 + 0*y**4 + 4\/5*y**5 + 9\/2*y**2 + 0*y + 3. What is the second derivative of q(w) wrt w?\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4738057 (base 9) to base 11.\nAnswer: 14a1972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k. Let i = 1 + -3. Let r be ((-2)\/(-7))\/(i\/(-14)). Let d(p) = -7*p + r*p - 2*p. What is d(c(w))?\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 5*u - 1 - 4*u + (2*u - 5*u + 2*u)*(-4 + 4 + 2))*(1 - 1 + 3).\nAnswer: -21*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/748 and 91\/10.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 21*g - 82. Determine h(9).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/30*2)\/(3*42\/(-270))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 + 9*m + 4. Let a be i(-3). Let y(b) = b**2 - 6*b. What is y(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 66998*d - 8. Let b be h(-4). Round b to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22796767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 4:10 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1.36. Let b = 0.333 + s. Round b to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 179 + -251. Let u = i + 79. Suppose l = -u*l + 40. Solve -3*m + 32 = 4*g - 0, l*g - 5*m = 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52844 = -11*f + 294998. What are the prime factors of f?\nAnswer: 2, 97, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10}. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -647362000 rounded to the nearest one million?\nAnswer: -647000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20936546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -125808664 divided by -1?\nAnswer: 125808664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32167 is divided by 126.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 826 (base 13) to base 2.\nAnswer: 10101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 287*y**2 + 7*y - 1. Let i be z(-1). Suppose -5*l = -3*d + 905, 4*l = -3*d + 2*d + i. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgu when three letters picked without replacement from mbubsussgbbuum?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h - 1605 = -4767. Suppose -10*x = -h - 2654. Is 35 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 215*v**4 - v**3 - v**2 - 117. Let j(p) = p**4 - p**3 - p**2 - 5. Let x(y) = -4*j(y) + 4*u(y). Differentiate x(h) wrt h.\nAnswer: 3424*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 3 + 441*k - 876*k - 5 + 1 + 437*k. Let l be 6\/21 - 64\/28. What is m(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + sqrt(304) + 0 + -3 + -2 + 0 + 0 + -5)*-6)**2.\nAnswer: -6912*sqrt(19) + 48960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 3*k - 912*k**3 + 918*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -72 + -1?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 + 3*w. Suppose -9*k = 7*k + 100 - 68. Give y(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45604790 divided by -4560479.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 211*n. Let k(r) = -22*r**2. Determine k(x(i)).\nAnswer: -979462*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -2 + sqrt(19))**2 - sqrt(19) - (sqrt(19) - (sqrt(475) + -3)))*-3.\nAnswer: -156 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18366 - 65141 = -16*j - 15635. Calculate the highest common divisor of j and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.78326031 and 3709.\nAnswer: 3717.78326031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/10)\/f*(f\/(f*f\/(f\/(f**(2\/13)\/f))))\/f*f\/(f**(-2\/37)\/f)*f*f\/f**10)**31 assuming f is positive.\nAnswer: f**(-1073561\/4810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41938*y + 41920*y = -2*z - 70, -3*z = -3*y + 33 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = p + 4*x, 0 = -4*x + x - 9. Calculate the remainder when 77 is divided by (-12)\/(-8)*(-120)\/p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 79. Let p(a) = -2*a. What is p(z(x))?\nAnswer: 2*x**2 - 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 496*s**2 + 498*s**2 - 1988*s**2 + 499*s**2 + 494*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2217864 or 2217865?\nAnswer: 2217865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2538, -2559, -2570, -2565, -2538, -2483, -2394?\n\"Answer: k**3 - k**2 - 25*k - 2513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haaaaahhaaaa. Give prob of picking 2 h.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8955241 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 950, 0.17399, -2, 4?\nAnswer: 950","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34885561 + -34885567.99999975. Let r = -7 - g. Round r to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 57?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125495?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**4 - 3*p**3 + 2*p**2. Let y(g) = 40*g + 39001 + 115*g**2 - 39001 + 5*g**3 + 20*g**4. Let n(w) = -15*r(w) + y(w). Suppose n(l) = 0. What is l?\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-4)\/(-16)*2). Factor -36*c + 29*c**2 - 56*c**t + 29*c**2 + 162.\nAnswer: 2*(c - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5391 + -6048.4. Let g = j + 658. What is the second biggest value in -9\/7, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.572314 rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/75)\/(12\/(-10))*1\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11509 + 11513. Solve 3*m + 8 = -2*j, -4*j = t*m - 8*m + 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1892*z - 1867*z - 72090 = 215810. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -165\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*r - 2317 = -318, 0 = 2*w + 4*r - 1330. Is w 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 -85, -83, -79, -73?\n\"Answer: w**2 - w - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 0, -1, 676, -0.5, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b543 (base 15) in base 2?\nAnswer: -1010011100000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01536543722 to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -9412?\nAnswer: 1882.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 2*j + 3 + 13, j = -2*v - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 55. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (376\/(-235))\/((-84)\/45).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 216.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 45 = m. Is 6 a factor of ((-4)\/6)\/((-1)\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Let l be (-6)\/4*4\/(-2). Suppose -f*k - l*k = -35. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, u: 2, t: 9, m: 3}. Give prob of picking 1 t and 2 c.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -115.9 + 7.9. What is the closest to 0.1 in l, 5, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*(4 - 5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 - 127.117. Let l = -0.11700063 - j. What is l rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 2:08 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 18*k - 17*k. Calculate the remainder when 118 is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 + 3*h + 14. Let w(s) = 4*s**2 - 4*s - 13. Let b(x) = 5*r(x) + 6*w(x). Give b(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 8775\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1903376?\nAnswer: 2, 337, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6930 and 994714?\nAnswer: 492383430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 144 + -175. Let a = -33 - o. Suppose -b = -2*b + 3. Put a, b, -1 in descending order.\nAnswer: b, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**3 + 15*u**2 + 10*u = 0. Calculate u.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 2574.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.048 times 1477?\nAnswer: -5978.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -6 (c) 15 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 2 - (9 - 48\/4). Solve b = -t - 0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490062.\nAnswer: 2, 3, 81677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -963*d - 323280 = -2944*d + 1109*d - 3169*d for d.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1493 - 1477. Is 6 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -13 (c) -8 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*x = 61*x - 10 - 46. Solve -2 = x*n - 12*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 265336?\nAnswer: -265335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iic when three letters picked without replacement from {g: 1, c: 4, t: 2, i: 7, k: 1}?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34318222?\nAnswer: 2, 89, 192799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 21, -4, -3 in increasing order.\nAnswer: -4, -3, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-8))\/((-7)\/(28\/(-16)))*(-206)\/(-12978)?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*i - 28, 0*f = -f - 2. Let t = 79 - 56. What is the remainder when t is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) + sqrt(190)*-3*-3 - sqrt(190)) + sqrt(190))\/(sqrt(60)\/sqrt(6)*1))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**2 - 15*d + 147. Let t be s(9). Suppose 2\/13*h**5 - 2\/13*h**4 + 0*h - 2\/13*h**t + 2\/13*h**2 + 0 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 6\/27*201 - 11\/(-33).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64936 is divided by 3203.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.14 - 9.14. What is the closest to 1 in -8\/9, 2\/5, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*r - 28 = 433*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 5:55 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/(-720) - (-31)\/18)*12\/(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -805d - a?\nAnswer: -8069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 27*n. Let r(s) = -4*s - 21. Suppose 6 = -2*y, 3*a - 3*y = -5*y - 12. Let b(c) = -4*c - 14. Let q(m) = a*r(m) + 3*b(m). What is q(p(h))?\nAnswer: -108*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 115309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 5*s + 10. Let j be (-47)\/(-7) - (-2)\/7. Determine v(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -200*d**2*t**2 + d**2*t - d**2 + 575*d wrt t?\nAnswer: -400*d**2*t + d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 529789181 to the nearest 1000000.\nAnswer: 530000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/187460 and 19\/449904?\nAnswer: 2249520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -7) + -2*1. Suppose 2*o = -j*o + 4. Is -2\/17 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 88\/5 of a kilogram?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 54 = 2*r, -7*r - 156 = -5*z - 55 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 465958967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -53, -9, 10 in increasing order.\nAnswer: -53, -9, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 0 + 0*n**3 + 17\/12*n**4 + 13\/2*n**2 - 26*n. What is the derivative of r(c) wrt c?\nAnswer: 34*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252794 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v - 2*v)*(1 + 1 - 4) + (1 - 2 + 2)*(34 - 34 - 10*v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*i + 11 = -10, 4*i - 20 = 0. Is 633\/12 + x\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*w + 18*w + 6*w)*(10*w**3 + 2*w**3 - 2*w**3 + (-3*w**2 + w**2 + 3*w**2)*(3*w - 6*w + w)) to j*w + x*w**4 + u + n*w**2 + d*w**3 and give x.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -111120220122011110?\nAnswer: 111120220122011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 8*o + 3*o = -239, -s = o - 118. Suppose s = -x + 10*x. Calculate the lowest common multiple of 2 and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 5*p + 378 - 323, -2*p + 40 = 5*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 122*n - 236.\nAnswer: -2*(n - 59)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000559 rounded to 5 decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2670*((-120)\/(-4) - 0). What is s rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2 - 3*j. Suppose -70*a - 49*a - 119 = 0. Let y(f) = -f**2. Calculate a*u(o) + 2*y(o).\nAnswer: o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**4 - 5*h**4 + 4*h**4 + (8 + 14 - 13)*(-3*h**4 - h**2 + h**2) + 9*h**2 - 2*h**4 - 9*h**2.\nAnswer: -35*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 173732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2911*b + 3992*b = 1995*b - 105328 - 66452 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -49296346 and 0.106.\nAnswer: -49296345.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-10)\/15*9\/6). What is the highest common divisor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 2*q**2 + q**2 + 5*q**2 + 0*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*j**2 - 4*j**2 - 2*j**2.\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, p: 9}. What is prob of sequence rrrp?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*v + 7 + 14*v**3 + 51*v + 0*v**3.\nAnswer: 14*v**3 - 112*v + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 177 - 126 + 0*c + 549.\nAnswer: -2*c + 600","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h + 0*h - 126 = 0. Solve 5*t - 23 = 3*m, m = -t + 3*t - h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 14*h**2 + 17*h - 4. Suppose v = -2*o + 28, -4*o - o + 5*v = -85. Let m be d(o). Suppose -c = c - m. Solve -5*y - 3 = -c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -58*t - 57. Is y(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 8, r: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 0*x + 2. Let b(o) = 2 + 7*o - 7 + x. Is b(3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 - -0.96. Let d = 1.15 - n. Let m = -0.09 - d. Round m to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-11)\/(b**(-4\/3)\/b)*(b**(3\/4)\/b)**(-1\/5) assuming b is positive.\nAnswer: b**(-517\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003050077 to 6 dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 10, 2, -303, -2\/13 in increasing order.\nAnswer: -303, -1, -2\/13, 0, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 at most as big as 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -70*j**2. Let n(t) = -2*t**2. Give n(g(z)).\nAnswer: -9800*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**5\/15 - 23*h**4\/2 - 136*h**3\/3 - 191*h**2. Factor v(p).\nAnswer: -4*(p + 1)*(p + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(6*sqrt(125)*4 - (sqrt(125) + sqrt(125)*3 + -2))**2.\nAnswer: -100013 - 800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1662763312 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*i + 9, -2*y - 5*i + 3 + 12 = 0. Suppose 2*x - 3*h - 31 = y, 5*h - 20 = -4*x + 31. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64999 + -64985.599872. Let l = -0.8884 - 12.5116. Let o = l + j. Round o to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2 - 3047*s**2 + 2 + 2726*s**2. Let t(x) = 10*x**2. Give t(u(j)).\nAnswer: 1030410*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -1\/6, 19, -36.2 in decreasing order.\nAnswer: 19, -1\/6, -1\/2, -36.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -245 - -247. What is the highest common factor of i and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 1. Let t(p) = 2*p**3 + 1. Let h be t(-1). Let o = -99.4 - -99. Which is the nearest to h? (a) -1\/9 (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 1:23 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*n + 1436 = 0, -2*b + 3*n = -463 - 252. Let m be 49\/28 + 2 + 1\/4. Suppose -4*d + 172 = -r + 3*r, m*r - d = b. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -13 - 61) + (1 + -1 - -7).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 3:16 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 130978, 130879, 130780?\n\"Answer: -99*m + 131077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -47.3. Which is the second smallest value? (a) 4 (b) -0.5 (c) -4 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22999225*y**4 - 227*y**2 + 847*y + 17.\nAnswer: -551981400*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**4\/4 - 7*w**3\/3 + 10*w - 292. Determine i(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -31*y**3 - 4*y**2 + y - 9. Let j(n) = n**3 + 2*n**2 + n + 1. Let h(d) = -f(d) - 2*j(d). What is the second derivative of h(v) wrt v?\nAnswer: 174*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + -18. What is the lowest common multiple of u and -12 + 12 + (1 - -20)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 5:35 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 868 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25970411.3*-1.\nAnswer: 25970411.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 3\/164 (c) 3 (d) 1\/9 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1295)\/(-14) - ((-292)\/1022 + 15\/(-70)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000261131 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0859306666 to 5 dps.\nAnswer: -0.08593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**3 + 8*i**3 - 5*i**2 - 102*i**2 + 7*i**3 to the form s*i**2 + q*i + c*i**3 + d and give s.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -180008040 divided by -439044\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(6490\/9381) - (-42)\/(-77).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 + 6*h**3 + 4*h**3.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-75)\/(-35)*7\/2)\/(10\/1560) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.001862316236 rounded to six dps?\nAnswer: 0.001862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**8\/84 - 17*o**5\/12 - 4841*o**4\/8 + 62*o**2 - o - 56. Find the second derivative of b(n) wrt n.\nAnswer: -80*n**3 - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -688075 - -688079. Let t be (-4)\/(-42) - 6\/9. Sort y, t, -2 in descending order.\nAnswer: y, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*5\/((-15)\/6). Let k be (3\/1)\/((-27)\/(-18)). Is 45\/h - (-1)\/k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.09 (b) -2\/47 (c) 3 (d) 1\/3 (e) -2\/37 (f) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let t(l) be the first derivative of -l**2\/2 - 2. Let q(o) = 9*o + 5. Let y be q(0). Determine y*f(k) - 4*t(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, z: 1, k: 3, o: 3}. What is prob of picking 1 z and 1 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 - 46*d + 173. Determine h(-28).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -610*b**4 + 15*b - 21 wrt b?\nAnswer: -7320*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2465 = f - 3*k, f - 1371 - 1070 = -5*k. Let r = -34455\/14 + f. Find the common denominator of r and ((-89)\/12)\/((-1)\/3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrv when three letters picked without replacement from {y: 1, p: 1, r: 2, m: 1, h: 1, v: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -1 + 10 + -14 - -19 - 23?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 13*x - 110. Calculate y(18).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3132 - -3134. Let j(w) be the first derivative of -4*w**3 + 1\/2*w**r - 3 + 0*w. Find the second derivative of j(a) wrt a.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 17 - 4 - -12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*x - 24*x**3 + 70*x + 20 - 41*x + 2*x**2 - 2*x**2.\nAnswer: -24*x**3 - 3*x + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -45146 (base 9) in base 8?\nAnswer: -72474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -939*a**2 + 28. Let w(v) = -5*v. Calculate w(u(z)).\nAnswer: 4695*z**2 - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 3. Let b be s(10). Let f = -9 - b. Suppose -5*l + 36 = -p, -3*p + 1 = f. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.54707 and -5.\nAnswer: -6.54707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53765419 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 178350 and 2460?\nAnswer: 356700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 106*y + 25. Let a(b) = b**2 + 84*b - 24. Let r(t) = -5*a(t) - 4*f(t). Calculate r(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 7 = -q, 0 = 14*j - 18*j + 13*q + 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 66*q = -9*q + 450 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*u - 3*l, 0 = -10*u + 15*u + 5*l + 70. Let c(j) = j**3 + 7*j**2 - 3*j - 23. What is c(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0266 and 1598.\nAnswer: 1597.9734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*h + 449*h - 11722 = 1018 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 444*j*q**4 + 603966141*j - 621637*q**4 wrt q.\nAnswer: 1776*j*q**3 - 2486548*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -15*b**3 + b**2 + 2*b + 2. Let k be t(-1). Suppose x = 2*h - 2, -k - 8 = -4*h - 3*x. Suppose -201 - 2773 = -h*o + a, 4*o - 2*a = 3966. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(425)*-2 + 4)**2.\nAnswer: -140*sqrt(17) + 1749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(-8 + 7)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - v + 3. Let n be x(-3). Let h(y) = -y**3 - 5*y**2 - 3*y + 2. Let l be h(n). Let m(z) = z**3 + 8*z**2 + 4*z - 10. Is m(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 4*f - 2. Let d be p(1). What is the second smallest value in -15, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*m + 719 + 21230 = 0 for m.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 33 = -4*i, -3*i - 17 + 2 = 0. Suppose l - 11 = w. What is the units digit of (-3 + -1 + 58)\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - 5 + 5 to the form s + j*q and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((480392\/(-66))\/206)\/(1\/3)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from {b: 12, j: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1468 + 1467. What is the fourth smallest value in l, 3, -13, 41, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 32. Let j(g) = 8*g**2 - 6*g + 7. Let s be ((-14)\/21)\/(2\/(-6)). Let c be j(s). Calculate the highest common factor of c and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1198*z + 1343. Let j(f) = 596*f + 672. Let d(c) = 5*j(c) - 2*q(c). What is the derivative of d(g) wrt g?\nAnswer: 584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -517\/7 + 74. What is the second biggest value in 3, 11, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nywdtwwwdntsdsy. What is prob of picking 2 d and 1 t?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38794.26kg in nanograms?\nAnswer: 38794260000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60144, 60312, 60752, 61596, 62976, 65024, 67872, 71652?\nAnswer: 76496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 557*f**3 - 284*f**2 + 520635*f wrt f?\nAnswer: 3342*f - 568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 3*m**2 + 5*m + 26. Let c be u(5). Is c > 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9*l**2 - 25*l + 31. Let c(y) = -4*y**2 - 13*y + 16. Let q(f) = 7*c(f) - 3*s(f). Let m be q(-17). Sort -3, 5, m, 1 in descending order.\nAnswer: 5, m, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 39.7421 and -2.\nAnswer: 37.7421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 6 = x, -4*x - 5*m + 29 = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 5\/41701142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 8:26 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -868.0004 rounded to one dp?\nAnswer: -868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c4 - 261?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 27. What are the prime factors of 59 + 7\/((-35)\/i)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 31 - 11 = 0. Suppose -7*i - 3 = -p*i. Let w be (0 + i)*7\/(-14). Which is the third smallest value? (a) w (b) -1\/3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 2*q + 5*q = 0, -2*x + 4*q - 10 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -22357\nAnswer: 6\/22357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6709447861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 8 + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u = -25. Suppose -h - u = -6. Let b = 137\/3 - 46. Does b = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 0*k + k - 937, -927 = -5*i + 4*k. What is the greatest common divisor of 17 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1715 + 2475. Calculate the remainder when 83 is divided by (-4)\/(-22) + v\/55.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 4) to base 9\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -227*q. Let i(t) = 15329*t. What is k(i(w))?\nAnswer: -3479683*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 20 = -14*o. Suppose 4*l = 2*m + 388, -15*l - o*m = -13*l - 194. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5823 - -5822.8. What is the smallest value in t, 2, 4, 0.07?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157 plus 4751?\nAnswer: 5908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -885*f - 894*f - 8*a = -1776*f + 81, -a - 27 = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348*r = 345*r + 4*g + 176, 4*r - 279 = -g. Solve -72 = 35*m + r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 17*y. Let d be b(1). Let i = d - 13. Suppose 0 = -i*o - 143 + 1651. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 2\/7 (c) -577 (d) 1\/7 (e) 531\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -5, 2, 5, -2128 in decreasing order.\nAnswer: 33, 5, 2, -5, -2128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -142*r + 0*r**2 + 0 + 1\/3*r**3. Let l(n) = 252*n. Give z(l(b)).\nAnswer: 504*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 12*j. Let o(h) be the second derivative of j*h**3 + 0*h**2 + 1\/12*h**4 + 0 - 2*h. Let r(c) = 3*c. Give r(o(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -86.820221249+-99.7\nAnswer: -186.520221249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -29 - -14 - -9 - 2\/(-226)*677. Which is smaller: -0.4 or y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 0.7. Which is the nearest to 1? (a) -2\/9 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -7 + 15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/5)*s*s)**(4\/9))**(-6)*((((s**(-2\/7)*s)\/s*s)\/s)\/s)**14\/((s**0\/s)\/(s*s**1)) assuming s is positive.\nAnswer: s**(-361\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/3, -15, 0.17, -1\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 5. Let y be o(8). Let h(i) = -15*i. Let k(v) = -12*v + 5*v + 5*v. Give y*h(x) + 20*k(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5100.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 25. Let s = 0 - 0. Let j = q + s. Solve -13 = -j*k - k + 3*f, -5*f = -k + 21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-12)*(-4 + (-16)\/(-14)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 0*g + 40 + g**2 + 6*g - 6*g. Suppose -4*w = 5*m + 20, 4*m - 2*m - 5*w = -8. What is i(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 345 and 22.\nAnswer: 7590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 234 = -11*c. Let p(v) = v**3 + 12*v**2 - 17*v + 27. What are the prime factors of p(c)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-12))\/(9\/(-2) - -1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06783 in 113, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 - 12?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*u = -10 + 26, z + 11 = 3*u. Suppose -3*q + 3*w - 13 = q, z*w - 8 = 3*q. Let f be (-6)\/q*-1 - (-12)\/9. What is the biggest value in -9, 4, 2, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 707 - 151. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -54 + 9 + 28 - t. Calculate v(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1663172 to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -272*u**3 + 12512*u**2 + 7*u - 265. Determine t(46).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 38*d**2 + 43*d - 142. Determine m(39).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72 + 72 - 22*f)*(17*f**4 - 14*f**4 - 10*f**4).\nAnswer: 154*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1175)\/(-6))\/((-2)\/8). Let p = n + 736. Let a = p + 49. What is the closest to 0.07 in 2\/3, a, -2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -24*z**2. Let k(o) = 43382*o. Determine k(j(i)).\nAnswer: -1041168*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 37\/9. Let d = -131 - -75. Let z be -2 - d\/(-30) - (-7 + 3). Which is the smallest value? (a) 4 (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/3))**14)**(-2) assuming q is positive.\nAnswer: q**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from {k: 2, n: 5, i: 1, a: 1, w: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*b**4 + 2741628*b**3 - 19144264*b**2.\nAnswer: -216*b + 16449768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-21)*(-12)\/(-6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmp when three letters picked without replacement from {k: 2, q: 1, o: 2, m: 1, p: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f. Let a(b) = 11578*b - 11578*b - 68*b**2. What is a(g(x))?\nAnswer: -6800*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2335 is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*y + 23*y + 60. Let q = 3 + -3. Let m be (-5)\/y*(1 - q). Calculate the highest common divisor of 5 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 + 170*k**2 - 4764*k + 61. Determine u(-77).\nAnswer: 5220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101100000 (base 2) to base 5.\nAnswer: -34100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 11. Let g = 7 - 6. Suppose i + g = -y, -4*y + 0*i = -i - b. Is y at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -2. Let m(w) = -2*w + 141. Let v be m(14). Suppose 0 = 52*o - 269 + v. Sort 1.6, o, b.\nAnswer: b, 1.6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 minus 7343911?\nAnswer: -7343911.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87365325?\nAnswer: 3, 5, 19, 37, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 32*l + 11. Let f be t(9). Let v = f - 178. Calculate the greatest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*o + 3 - 1, 0 = -5*r - 4*o + 5. Let h = -1 - -1. Let t = h - 0. Which is smaller: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiii. What is prob of picking 2 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mddsdgdmsszsdmzdm. Give prob of picking 1 s and 2 z.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68.14*-5.\nAnswer: 340.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 2*w + 94, -320*w = -3*k - 321*w + 63 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1, -6, 6 in ascending order.\nAnswer: -6, -3, -2, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from lppldldpbl.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 7*d**4\/8 - 5*d**3\/6 - 5*d**2. Differentiate b(y) with respect to y.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 - 51. Suppose -4*n - 2*n + 54 = 0. What is the remainder when v is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42630463 to the nearest integer?\nAnswer: 6529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/14 + 1 - (-4)\/2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 4, t: 7, f: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -193135 at least -193299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20bbf (base 16) in base 14?\nAnswer: -36c11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39785\/33748 - -199\/236. Let i = -2\/13 - z. Let k = 0.1 - 0.1. Which is the nearest to k? (a) 2\/9 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -855 + 205. Let p = x + 659. Solve -2*t - 22 = p*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2943 + 2564. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -40*h + 13*h + 14*h + 3*h + 12*h. Let y(m) = 181*m. Calculate y(s(n)).\nAnswer: 362*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93591827.\nAnswer: 7, 281, 47581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 182810488 divided by -4\nAnswer: -45702622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1. Let y(f) = 2*f**2 - f + 4. Suppose -11*b - 3 = -8*b. Determine b*y(r) - 3*w(r).\nAnswer: -2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1383)\/2*1218\/(-162). Let v = s - 5196. What is the common denominator of v and 2\/((-4)\/(-57)) - 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3716541 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10291\/4)\/((-163)\/(-652))?\nAnswer: 41, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/15)\/(2\/(-6)). Let p(k) = k - 6. Let m be p(3). Let v = m + 6. Is y less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5864276.\nAnswer: 2, 11, 133279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -296221 + 417728. Let n = s + -77267. Round n to the nearest one thousand.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 63297, -1 in increasing order.\nAnswer: -4, -1, 63297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1637, -3279, -4923, -6569, -8217?\nAnswer: -9867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1249580?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4 - 16 = -4*o, -4*o - f + 20 = 0. Let i(b) = 1009*b + 2. Let d be i(7). Suppose -d = -5*c - o*p, 2*p = c - 2*c + 1411. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2 + 2*d + 5*d - 2*d + 5 - 2*d**2. Let q be j(-5). Sort q, -2, -4 in ascending order.\nAnswer: -4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -23733?\nAnswer: 11866.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 860629 or 860631?\nAnswer: 860629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -t - 11, -3*m + 905 = -2*t + 898. Let b be ((-38)\/8)\/((-5)\/100). What is the highest common factor of m and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12968?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gii. Give prob of picking 2 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20012212 + -101121122?\nAnswer: -121211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**5 - 9*m**4 - 3*m**3 - m**2 - 6. Let f(j) = 4*j**5 + 8*j**4 + 2*j**3 + j**2 + 5. Let t(n) = 6*f(n) + 5*k(n). Let t(l) = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajtajapa. What is prob of picking 2 a and 1 t?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 12:21 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 5*o - 45 + 211, -150 = -2*c - o. Suppose c = 4*p - 43. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.78 times 0.5952?\nAnswer: -0.464256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -958, -45 in descending order.\nAnswer: 0.07, -45, -958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.94751 litres to millilitres.\nAnswer: 15947.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203540 divided by -200590?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -637 + 137951?\nAnswer: 137316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 63299550 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 43*u**2 - 1. Let h be j(-1). Suppose 0 = -2*y + 4*y - x - 190, -3*y + 285 = -3*x. Let z = y - h. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -5, 25.23, 0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*s + 5*y + 13 = 55*s, 2*s - 30 = 4*y for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20848.\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -77*z - 35. Let i(w) = -20*w - 9. Calculate -6*c(b) + 22*i(b).\nAnswer: 22*b + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9289*x - 23 - 1572*x + 23.\nAnswer: -10861*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -5, -0.2.\nAnswer: -5, -3\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -75.6.\nAnswer: -77.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfo when three letters picked without replacement from joptqptjf.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (510\/(-34))\/(4\/4)*(-4)\/(-66).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -103 - (-173 - -193 - (2 - (-5 - -2))).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/c**(-1\/18)*c*c))\/c*c)\/c)\/(c*c**(4\/5)) assuming c is positive.\nAnswer: c**(-437\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4045 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 510044 (base 6) in base 13?\nAnswer: 153b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69631511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000809576809 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121778194.\nAnswer: 2, 1723, 35339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2339242 to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/24 (b) 2.9 (c) 669.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114399 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**26)**7*(j*j\/j**(9\/2))\/(j\/j**(-27)) assuming j is positive.\nAnswer: j**(303\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26812 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220300 less than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 30 = 2*n + 4, -5*n - 13 = 2*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 389703.5 weeks to minutes.\nAnswer: 3928211280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-27)\/(-6))\/((-7)\/(-84))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4.4. Let n = -0.03 + 44.13. Let k = n - 44. Which is the second smallest value? (a) x (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/17))**(-48)*(a**(-1\/4)*a)\/(a**(1\/28)\/a) assuming a is positive.\nAnswer: a**(-468\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v = -5*f + 78, 5*f + 2*v = 73. Let w = f - 8. Let t(k) = 2*k + 1. Calculate t(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (1 - 4) - 0. Let a(j) = j**2 - j**2 - j + 15*j**2 + 12*j**2. Is 14 a factor of a(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**3 + 11*w**2 + 121*w - 26. Calculate j(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -9*a**2\/2 + 1. Let c(i) = -6*i**2. Calculate x(c(g)).\nAnswer: 54*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -194*d**4 - 13*d**3 - 78*d - 13. Let j(q) = 97*q**4 + 6*q**3 + 39*q + 6. Let t(o) = -13*j(o) - 6*r(o). Find the second derivative of t(i) wrt i.\nAnswer: -1164*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*s = -163*s - 24. Suppose -180 = 3*y - s*y. What is the remainder when 38 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 + 5*s**2 - 3*s - 58. Let b(m) = m**3 + 2*m**2 - m - 19. Determine 11*b(o) - 4*v(o).\nAnswer: 3*o**3 + 2*o**2 + o + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.63 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 7*d**4\/2 - 7*d**3\/3 + 6*d**2 - 2*d + 9. Calculate the remainder when 66 is divided by s(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2*v - 3)*(-2*v**3 - 2*v**3 + 6*v**3) + 1065*v**3 - 1065*v**3 - 175*v**4 in the form l + a*v**4 + f*v**3 + b*v**2 + o*v and give a.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*b = -2*j - 358, -374 = -2*j - 4*b. Suppose l + 30 = j. Let a = l + -105. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 - 227780*g\/3 - 12970932100\/3.\nAnswer: -(g + 113890)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08934926 rounded to five dps?\nAnswer: 0.08935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 7:22 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 8:51 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 1\/30*v**5 - 1\/30*v**6 + 0*v**3 - 4*v**2 + 0*v**4 + 0*v + 0. Find the third derivative of a(n) wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - sqrt(432)*1 - sqrt(432) - (sqrt(12) + sqrt(432)*-1))\/(sqrt(66)\/sqrt(99) + 1*sqrt(384)))**2 + -5 + 1.\nAnswer: -2482\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 872800 * 3.8\nAnswer: 3316640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 82794.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121121 - -12?\nAnswer: -121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/208 and 161\/78.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1320*p - 1325*p + 5294*p - 1330*p - 1321*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/20 and 5\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30\/1)\/((-12)\/(-8)). Suppose 2*h - c = -2*z, 6 = z + 5*h - 0*h. What is the highest common factor of 99 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74160, 74165, 74184, 74223, 74288, 74385?\nAnswer: 74520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18158 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: List the prime factors of 2146.\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0755 + -0.0342?\nAnswer: -1.1097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32\/12)\/(1\/6). Let c be (-111)\/(-9) + k\/(-12). Find the third derivative of -4*q**2 - c*q**3 + 11*q**3 + 5*q**4 wrt q.\nAnswer: 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Let x be 7\/42 + 5\/6. Sort m, -6, x in increasing order.\nAnswer: -6, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from {x: 7, m: 2, g: 2, l: 2, a: 7}?\nAnswer: 49\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2402?\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/38 and 47\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5240 divided by -1\nAnswer: -5240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*g - 9. Which is the smallest value? (a) -2 (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -15. Let k = 16 - m. What is the second smallest value in -0.4, -2, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3429243 divided by -27\nAnswer: 127009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-20))\/(5\/40*-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 861*n**3 + 2279*n**3 + 589*n**3.\nAnswer: 3729*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -52*p**2 + 78*p. Suppose 184*o + 25 + 34 = 243. Let t(v) = -v**2 + v. Calculate o*n(r) - 78*t(r).\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/78 + -2 - 650\/210?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3994651.\nAnswer: 101, 39551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*r + 22 = 0, 31*p - 28*p = 3*r + 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1336\/104 + (-19 - -6). Which is the smallest value? (a) m (b) -0.2 (c) -8 (d) -33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -7\/18371334 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 637 by -5.\nAnswer: -637\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-36))\/x)\/x**(-31))\/(x\/((x\/x**(-6))\/x))**11 assuming x is positive.\nAnswer: x**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 3. Let t(v) = -v**3 + 29*v**2 - 30*v + 50. Let g(c) = -6*c + 4. Let a be g(-4). Let i be t(a). Let r(f) = 6*f - 17. What is i*r(y) + 34*s(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4476 * -4135.\nAnswer: 18508260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, 0.324, 0.1 in decreasing order.\nAnswer: 3, 0.324, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59680 and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 889.6684 kilograms?\nAnswer: 889668400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 25, 5, 1\/1012, -10, -1 in ascending order.\nAnswer: -10, -1, 1\/1012, 4, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 269207 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {i: 5, q: 3, g: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 10*g**2 - 10*g + 10. Let j be 12*-1 + -2 + 3. Let r be v(j). Let a be 5 + r - (0 - 1). What is the closest to 2 in 3\/7, -1\/3, a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4720725 millilitres?\nAnswer: 0.0004720725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4117461 and -1.\nAnswer: -4117462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3839*f - 3477. What are the prime factors of q(15)?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-5)*(-100)\/(-30). Suppose -2*w = 3*w - 5. Let p be (0 - 1) + (-1 - w). Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -9*b + 18. Solve b*n - 2 = 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 25*j - 31. What is d(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9975*z = 10412*z + 31464 for z.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -464*a**2 - 793*a + 56. Give b(-2).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-228)\/(-68780))\/((-102)\/(-170))?\nAnswer: 1\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -33*v - 243. Let r = 383 - 407. Is 6 a factor of i(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4767 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)\/b)\/(b*b**0))\/(b**(-1)*b*b)**27*b*b**(-6)*b*b*b**(-5)*(b*b**(-2)\/b*b)**(-6) assuming b is positive.\nAnswer: b**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21224 - -14?\nAnswer: 21243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/6))**(-10\/7)\/(r**(-3\/2)*r**(-1\/18)))**(1\/12) assuming r is positive.\nAnswer: r**(-1\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 20*w**3 + 2*w**2 + w - 1. What is the remainder when 86 is divided by y(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 28 = 2*f, -5*b + f + 63 = -f. Let t(d) = -d**2 + 12*d + 11. Let c be t(b). What is the units digit of -1*(-3 + (-6 - c))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23801785 + 14101785. Round p to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*z = 87*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3289 is divided by 1314?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2949, 7390, 13325, 20754, 29677, 40094, 52005?\nAnswer: 65410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 4*k - 7 + 19, -2*w = k - 6. Suppose 2*l = -3*i - 3374, 2*l - 1684 = 3*l + w*i. Round l to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/30 and 47\/4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**3 - 70*z**2 + 1177*z - 36. Give v(12).\nAnswer: -1176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10640 (b) -1\/5 (c) 2172 (d) 2 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7 + 1 = 0. Let p be 3\/(-3) + 3\/s. Let k = -0.18 + 5.18. Sort 3, k, p in decreasing order.\nAnswer: k, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 5, -17 in ascending order.\nAnswer: -17, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*k + 2, 3*k - w - 4 = k. What is the units digit of 11\/(k*(3 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*o + 27 = 3*f + 95, -3*o = 39. Let t = -0.8 + -0.2. Put f, t, 1 in increasing order.\nAnswer: f, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 5*a - 25, -3*k + 11 = -2*k + 3*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -980.\nAnswer: -979.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38294?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 67. What is the highest common divisor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 9:32 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s**2. Let h(p) = p**2 - 3*p + 4. Let l be h(2). Let z(b) be the first derivative of 4 - 3*b - 2 + b**l + 3*b. Give z(k(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/7 in -2, 63, 2\/9, -11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, h: 3, a: 1, w: 4}. What is prob of picking 2 v, 1 a, and 1 w?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 5*n. Let m(y) = y**3 + y**2 + y - 3. Let w be m(n). Sort 7, w, -1 in increasing order.\nAnswer: w, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s + 6. Let c be q(-4). Let j = -30 - c. What is the units digit of (64\/j)\/((-2)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60400.113 to the nearest 1000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 2*66\/(-4). Let h = -119\/4 - u. Suppose 3*m = -3*y - 21, -m + 3 - 5 = 0. Which is the biggest value? (a) h (b) 3\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = u + 5*z, 13*z = -2*u + 15*z + 912. Calculate the greatest common divisor of u and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 + o**3 - 3*o**3 - 6*o**2 - 4*o**2.\nAnswer: -2*o**3 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 23 = -5*y, y + 2 + 6 = 4*s. Suppose -s*f = -0*f. Let x = 20 + f. Calculate the highest common factor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15920808.3 + -15920805.29999996. Let l = v - 3. Round l to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -29. What is the remainder when 23 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 4*s**2 - 4*s + 5. Let r(g) be the second derivative of 5*g**3\/6 - 81*g**2\/2 - 43*g - 2. Let q be r(17). What is x(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q - 8*q - 1818*q**5 + 1785*q**5 wrt q.\nAnswer: -660*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 67 = 2*w - 3*c, -129 = -2*w - 3*c. What is the highest common divisor of 19 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1641 - 4?\nAnswer: -1645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w - 167 = -63*w + 922 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*2913688\nAnswer: 1165475.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35, 85, 135, 185, 235?\n\"Answer: 50*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -1\/4 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 0 - (-2 + 6). Let a = j + 10. What is the highest common divisor of 77 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/7693 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 67 = u - 4*h, 3*h - 165 = -3*u. What are the prime factors of u?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 = -2*r, -4*r - 7 - 1 = -3*n. Suppose 4*u - 70 = 2*m, -2*u + 50 = -0*u - 4*m. Let k be 1\/((-3)\/u) - 1. Which is greater: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 1\/11, -0.4 in decreasing order.\nAnswer: 1, 1\/11, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 i when three letters picked without replacement from {r: 4, a: 3, v: 2, i: 3, s: 2, w: 4}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23219720 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2067910 to the power of 1\/2, to the nearest integer?\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 11:14 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-203)\/(-84) + (-35)\/30)*32\/(-20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 4*z**2 + 5. Let j(m) = m**3 - 6*m**2 + 6*m. Let v be j(5). Suppose 33 = 5*b + 2*k, -2*b = -0*b + v*k - 30. Does 10 divide r(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 f when three letters picked without replacement from rfufu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*n - 3068 = -236 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 10 - 2 = 3*f, -2*f + 4*d - 4 = 0. Let h = -12 + 5. Let q = -5 - h. Is f < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22830 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*w = 2*o + 53, 4*w + 16 = 5*o. Let s be (7 - 1)\/(w\/(-6)). Suppose 0 = -s*i + 64 - 24. What is the lowest common multiple of i and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28108 and 42162.\nAnswer: 84324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -467 - -484. Calculate the highest common factor of 221 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 11, 2.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxnenexxpx. What is prob of picking 1 p and 1 x?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14, 35, 46, 47, 38, 19?\n\"Answer: -5*x**2 + 36*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, e: 6, n: 2}. Give prob of sequence een.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*o. Suppose o*g - g = 0. Solve 0 = -g*s + s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 4*c + 4*c)*(-1 + 1 - 2)*(c**4 + 0 + 0) + (-c**4 - 2*c**4 + c**4)*(18*c - 132*c - 216*c).\nAnswer: 636*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 7*h - 2. Let u be 11 - (0\/4)\/(-2). Is c(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56951*c**2 - 28617?\nAnswer: 113902*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -110*a - 540. Determine t(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 27*z + 1188. Is r(-35) a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -514507, -1028998, -1543473, -2057932, -2572375, -3086802, -3601213?\n\"Answer: 8*d**2 - 514515*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 3) + (-3)\/(6\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 7*o = 28. Calculate the smallest common multiple of o and -7*9\/(63\/(-10)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Suppose -n*a = w - 0 + 19, 4*w + a = -21. Let y = -54 + 52. Put w, 5, y in decreasing order.\nAnswer: 5, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(-15 - -17).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -207750, -207748, -207746, -207744, -207742?\n\"Answer: 2*h - 207752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154717038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25 - -22) + ((-20)\/2)\/(-2). Solve r = y, -y - 6 = 4*y - t*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23 and 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.98 + -3. Let v = 0 + p. Let h = v - -0.01999956. What is h rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4335863.1 and -2.\nAnswer: -4335865.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6468)\/168 - -24)*-4.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u - 3. Let f be s(-1). Let m be 13 - 2*(f - 1\/2). Suppose -209 = -m*n + 571. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 1449*w + 1488*w = 2145, u = 4*w - 220 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 16191006?\nAnswer: -16191004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9321.454 millilitres to litres.\nAnswer: 9.321454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 9899122\nAnswer: 2969736.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*p + 2596*p**2 - 1296*p**2 - 1298*p**2 to the form r*p + w + s*p**2 and give r.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 312150*r - 15595000.\nAnswer: -5*(r - 62380)*(r - 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 5:24 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17770*c**5 - 10075585*c**4 + 1453174455*c**3 - 7075196405*c**2 + 8416830935*c + 2368830 = 0. What is c?\nAnswer: -1\/3554, 2, 3, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4) + 9\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1845 - 4949*m**2 + 4773*m**2 + 3509 + 4*m**3 + 1484*m = 0 for m.\nAnswer: -1, 13, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/u**(-4))*u*u**1*u)\/(u**(-2\/5)\/(u\/u**(-2))) assuming u is positive.\nAnswer: u**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 5*o - 4*o - 2*o + 3*o - 2*o + (4 + 1 - 4)*(2*o - 2*o + o) + 0*o + o - 3*o - 71*o + 3*o - 20*o in the form u + v*o and give v.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1032706 and 274.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 324\/5? (a) -2 (b) 10.261 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.287 + 1.387. What is the nearest to -0.1 in x, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8987.959 litres?\nAnswer: 8987959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 21494000 to the nearest 100000.\nAnswer: 21500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 10*u**2 - u + 15. Let s be k(10). What is the second smallest value in 4, 1, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214963747 by 2251.\nAnswer: 95497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(91) + sqrt(91)*5) + sqrt(91) - (sqrt(91) + -2*-1*sqrt(91)))\/((sqrt(35)*5 + sqrt(35))\/sqrt(5) + 4*sqrt(567)).\nAnswer: -13*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -26d7?\nAnswer: -26d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65779458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1301450*l + 5*l**3 + 1301450*l - 2*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9863 - 4454. Suppose 12*f = 2163 + c. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 19*i + 3. Suppose 82 + 89 = 3*f. Let a = f + -54. List the prime factors of o(a).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-428)\/2996*147\/9 + -2.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 9, 13*g = 4*o + 15*g - 710. Does 86 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2483 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 236185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + c - a = -82, a - 162 = -4*c. Suppose -12*q = -14*q + c. Solve -t = -6*t - q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.1 (b) 1\/11 (c) 8 (d) -1\/3 (e) -25 (f) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*b**3 - 177*b**3 + 101*b**3.\nAnswer: -34*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, q: 1, c: 1, w: 1, b: 1, u: 2}. Give prob of sequence uhh.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - ((-11 - -7) + 0 + 11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**6 - 80*l**5 + 71*l**2 + 3. Let b(k) = -k**6 + k**5 + k**2 - 1. Let x(y) = 3*b(y) + n(y). Find the third derivative of x(q) wrt q.\nAnswer: -480*q**3 - 4620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(3*14\/(-924)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 16) to base 11\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*o - 25380 = 274*o for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42695390, -42695389, -42695388, -42695387, -42695386?\n\"Answer: f - 42695391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-255))\/((-2)\/10)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -35423395 from -0.00603.\nAnswer: 35423394.99397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -9, 2*p + 3*n = -p + 45. Suppose -5*r + 3*b + 90 = 0, 2*r - 2*b = 18 + p. Solve -f - 4*j + r = 0, 4*f - j - 5 = -1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4524364 centuries in years?\nAnswer: 45.24364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/5*(6\/1 - 1). Let g(p) = 10 - 5*p - 3*p + 16*p + 14*p**2 + p**r + 4*p. Calculate the remainder when 88 is divided by g(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7631646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81349606\/445 + -182808. Calculate the common denominator of y and 107\/20.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -1, -24, -0.4 in decreasing order.\nAnswer: 3, 2, -0.4, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 486?\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17256 + 59*o - 127*o + 65*o.\nAnswer: -3*o + 17256","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*r + 371 = 141*r. Which is the closest to r? (a) 5 (b) 3 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 36*w + 94*w - 53*w + 24 = 0, 18*a = 3*w - 45 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 - m**3 + 0*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292 = -61*z + 440 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -11. Let f = n + -1. Let g = -11 + f. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -889\/2 or -444?\nAnswer: -889\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lsttlttdtqdsq. What is prob of picking 1 q, 1 l, and 1 s?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/q**(2\/13)))*q**(-11))\/((q\/((q\/(q*q**(4\/3)))\/q))\/(q*q*(q*q\/(q\/(q\/(q\/(q\/(q\/(q\/(q\/(q\/q**(-4))*q))))))))\/q)) assuming q is positive.\nAnswer: q**(-292\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*216\/81*(-2)\/(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14039*u - 5582*u + 13 - 4 - 11527*u.\nAnswer: -31148*u + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3442 + 8602 = 104*t + 688 for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/(-12727176))\/(90\/242960474). Let v = -201\/606056 + f. Let w = v + -2\/231. What is the common denominator of 31\/14 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 3) in base 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f + 2. Let w be p(0). Suppose -3*a = -15, -w*a + a + 87 = 2*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 24. Let j be (a - -2)\/(2\/1). Let q be ((-24)\/16)\/(j\/2). Solve 0 = 2*g + q*g + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1638 by -182.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snsssssnsssn. What is prob of sequence snss?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/7 - 2 - -2 and 2\/8 - (-748)\/(-220)*135\/(-228).\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2140*d*n - 1127*d wrt n?\nAnswer: 2140*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**4 - 3 + 0*k**2 + 0*k - 4\/3*k**3. What is the third derivative of f(w) wrt w?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28988 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2081, 128.08, 1, -1\/4 in decreasing order.\nAnswer: 2081, 128.08, 1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + j**2 + 2*j + 1. Let g be t(-3). Which is bigger: -22 or g?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 791.3 + -33.1. Let z = 534 - q. What is z rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -776 or -769?\nAnswer: -776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 17*l - 32. Let m(h) be the second derivative of h**5\/20 - 5*h**4\/12 - 2*h**3\/3 - 5*h**2\/2 - 22*h. Let q be m(6). Is 11 a factor of y(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429133 at least as big as 2574805\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.15927 microseconds in hours?\nAnswer: 0.000000000877575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2052 and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*((-3)\/4)\/1. Suppose -k = -z*k. Sort -5, k, 5 in descending order.\nAnswer: 5, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 5. Let y be (j - 18\/4)*4. Let v be 4\/14 + 32\/y. What is the biggest value in 0, -1\/2, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 430, 651, 884, 1129, 1386, 1655?\nAnswer: 1936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2003.\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**4 - 4*i**2 - 6*i - 29.\nAnswer: -36*i**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-26)\/(v**(1\/27)*v))\/((v*v\/v**(5\/7)*v)\/v**(-6)) assuming v is positive.\nAnswer: v**(-6676\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(13) + 4 + sqrt(13) + -1 - (2*(1 + sqrt(13)) + 1))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 39361878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d - 1. What is t(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 144139 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 227589 and 67731?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 1003.\nAnswer: 11\/1003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -649, -5237, -17721, -42067, -82241, -142209, -225937, -337391?\n\"Answer: -661*d**3 + 18*d**2 - 15*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + sqrt(2057) + -1))**2 + (-3 + (sqrt(17) + 1)**2 - (sqrt(612)*-3)**2) + -1.\nAnswer: -3433 + 46*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2490 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12136 is divided by 419?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12601835 is divided by 277.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + 1083.03.\nAnswer: 1083.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 773 and 866725477?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**2*h))\/h**(-6\/7)*(h\/(h\/(h**(-2\/13)*h)))\/(h**(-2\/7)*h)*(h*h*h*h\/h**0*h)\/(h\/(h\/(h\/(h\/h**(4\/7))*h)))*h**(-4\/3)\/h**(-5) assuming h is positive.\nAnswer: h**(1388\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22244 - -4?\nAnswer: 22303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0237 - 417.0237. Let n = g - -417.4. Which is the closest to -2? (a) -13 (b) n (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 5*d**2 + 6*d - 2. Let p be s(-4). Let i be ((-3)\/(2 - -22))\/((-5)\/p). Which is the closest to 0.2? (a) -5 (b) 1\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - 5. Let u be 32\/12*6\/4. Calculate the remainder when j(u) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, q: 1, r: 2}. Give prob of sequence qcr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-2)*2 + -30*(-28)\/42?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1))\/w)\/(w*w*w**(-2\/13)*w*w) assuming w is positive.\nAnswer: w**(-37\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 22 = -7*x + 3*x, x - z - 4 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207*u**5 - 117*u + 5.\nAnswer: 4140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 47, 102, 177, 272, 387, 522?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2665 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448541.\nAnswer: 101, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**2\/2 - w + 200. Let k(n) = -n**3 - n**2 + 2*n + 2. Let q be k(-2). Let r(s) = -s**2 - 1. Give q*a(m) - r(m).\nAnswer: m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-11)\/(755\/(-125) + 6) is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23.01057 * 58\nAnswer: 1334.61306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + 1)*-5 - ((sqrt(72) - (0 + sqrt(72))) + -3))**2 + (sqrt(8) + sqrt(8) + (sqrt(128)\/sqrt(4))\/sqrt(4))\/(4*sqrt(20)\/sqrt(5)).\nAnswer: 483*sqrt(2)\/4 + 1804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60583 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8565634 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(-1 + (-42)\/(-36)). Let h(k) = -5*k + 12. Let j be 6\/(-2 + -1) + 8. Let l(q) = q - 1. Let v(t) = j*l(t) + h(t). Calculate v(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 574 = -3*j, 3*w = -4*j + 1026 - 265. Let v = j + -165. Solve -4*t + 7*t = -5*s + 22, 5*t = -3*s + v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**5\/20 - 7*q**4\/12 - 5*q**3\/6 - 9*q**2 - 22*q. Let c be l(8). Solve 0 = -2*u - u - c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 7:53 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0, -1181, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - -1)*(-93)\/(-124). Suppose -20 = -3*n - 5. Solve 0 = 2*m - v*z - n, -3*m - 4*z + 2*z = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o + 63. Let t = -10001\/6 - -1648. Find the common denominator of (-211)\/28 - (-6)\/o and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/952 and -13\/671048.\nAnswer: 11407816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2787294291?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -0.0519.\nAnswer: 0.004152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*w - 4*d - 22, 2*w = 5*d + 24. What is the nearest to w in 0.1, -7, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 68, 217, 458, 809, 1288?\nAnswer: 1913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2205 (base 7) to base 11.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 o when three letters picked without replacement from {o: 11, q: 3}.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35*g**4 + 3 + 6 - 45*g**4 wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 2, 284 in decreasing order.\nAnswer: 284, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7*(-52)\/(-42))\/(8\/12). Suppose z = 3*w - 2, -1 - 7 = -3*w + 4*z. Let v be 0 + 2 + w - 0. Solve -2*n - 4*x = 3*n - s, 0 = n + v*x + 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 12 = 2*s. Suppose 6*v - 16 = 2*v, s = c + 3*v. Let h be (-1)\/c + (-64)\/12. Sort 3, h, 1 in descending order.\nAnswer: 3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94015412.\nAnswer: 2, 23503853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1995447 or 17959030\/9?\nAnswer: 1995447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 1. Let c be (-172)\/(-22) + (-14)\/(-77). Let v be 4\/c + ((-15)\/(-6) - 2). What is the second biggest value in v, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -a50aa0?\nAnswer: a50aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 50. Solve b*l = -3*c - 0*l - 4, -3*c + 2*l = -4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, 3, -1, 1 in decreasing order.\nAnswer: 3, 1, -1, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6270\/90)\/((-275)\/(-75)*1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -4. Let z be 0*(-3)\/6*r. Is 2 + (-106)\/(-2) + z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311096554 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -5, -8, -3 in descending order.\nAnswer: 45, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)\/sqrt(176))**2 + 0 + sqrt(512) + -4 + (sqrt(2048) - (-3 + 2*sqrt(2048)))**2*1.\nAnswer: -176*sqrt(2) + 2055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + z = 2937, -8*g + 5*g + 3*z = -1269. What is the remainder when g is divided by 86?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607620 is divided by 2949?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**6\/60 - a**3\/2 + 3*a**2. Let z(b) be the first derivative of r(b). Let t(j) = -4 + 1 + 2*j + 3. Calculate z(t(u)).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 1732726.\nAnswer: 519817.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -697*w - 37*w**3 - 23*w**2 + 697*w wrt w.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u + 16. Calculate g(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -m - m - 2*v, -5*v = 20. Let z = 10 + m. Solve 5*o + 9 = -z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 4:38 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 990113 is divided by 595?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69111*r + 3576 + 3420 = -68952*r for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -3.2, 21, 7, 6\/23 in increasing order.\nAnswer: -3.2, -2\/11, 6\/23, 7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 4*p = 0, 2*s + 9*p - 4*p - 14 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 - 5 - 1)*(2 - 2 - 2*a) + 3*a + 0*a + 4*a)*(2 - 4 + 3) to the form s*a + i and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*d + 620, 6*d - 510 = 2*d + 3*g. Calculate the greatest common factor of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-4)*(-4)\/(-3). Let m(p) = 3*p**3 + 2*p**2 + 1. Let c(a) = a**3 - 3*a**2 - 17*a + 70. What is the remainder when m(d) is divided by c(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.994 * -5984.\nAnswer: 5948.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-2)*(-2 - -15). Let k(u) = -23*u - 29. Let f(s) = 12*s + 14. Let y(m) = 5*f(m) + 3*k(m). Let q(i) = 4*i + 8. What is p*q(l) + 6*y(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49 + -86?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74272 or 14780362\/199?\nAnswer: 14780362\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2501*o**2 + 606*o**2 - 485*o**2.\nAnswer: 2622*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85 or 194585?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, f: 1, y: 4, k: 1, m: 2}. What is prob of picking 2 y, 1 k, and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -753\/8 - -94. What is the nearest to -2\/3 in -3, l, 3, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7844 - -7847.467. Let l = -3.43 + i. What is l rounded to 3 decimal places?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1947729 or 21425020\/11?\nAnswer: 21425020\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 90206, -2, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 12251*u - 12251*u. Let a(m) = -29*m. Calculate a(b(x)).\nAnswer: 29*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9374, -17971, -26568, -35165, -43762?\n\"Answer: -8597*g - 777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-24)\/s)**8\/((s\/((s**(-7)*s)\/s))\/((s\/s**25)\/s)))**28 assuming s is positive.\nAnswer: s**(-6524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*y - a, 2*y + 0*y + 3*a - 12 = 0. Suppose y*o + 2*o = 4*z + 104, -z = 4*o - 190. Is o a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6057?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.11, 14, 1, 2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420*w + 3103561 = 152*w + 10096485. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**2 + 11*f**2 - 4*f**2 + 0*f**2 - 7*f**2 + 2*f**2 + (-1 + f + 1)*(-f + 0 + 0) - 3*f**2 - 2*f**2 - 2*f**2 - 2*f + 2*f + 4*f**2.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 9. Suppose d = 4*j - 3*j - 2. What is the greatest common divisor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 16*x**2 - 17*x - 795. What is q(-18)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/5 (b) 16 (c) 1\/3 (d) -38 (e) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4763314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 506*i + 31. Let o(v) = 168*v + 10. Let c(z) = -7*o(z) + 2*r(z). Is 26 a factor of c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7618839 is divided by 96?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2642 = 3*l, 4*l + 0*l + 6582 = -5*n. Let v = n + 6563\/5. Find the common denominator of v and 1\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 153.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 4\/3, 1, 0.2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.2, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2. Let x(y) = 11*y + 13. Let o = -3 - -16. Let k(w) = -5*w - 6. Let l(v) = o*k(v) + 6*x(v). Determine n(l(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 918 and 850.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13295799071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-8)\/(-6) - (-39)\/(-63)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*g + 43, h + 13 = 2*g - 0. Suppose -175 = -46*z + g. What is the greatest common factor of z and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + v + 0 + 0.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - -263. Suppose u + 2*u + 4*a = -495, -3*u - 3*a = 492. Let l = u + g. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-2)\/(-1)*(-2)\/(-40)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82310, -5\/4, 132, 1\/9.\nAnswer: -82310, -5\/4, 1\/9, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 350*i - 363*i + 13156. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 129*d + 1813. Give p(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 1)*2\/6. Let c be v*(-2 - 0 - 0). Let m be -1*(56\/29 - c). Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 170*o**2 + 7 + 6 - 176*o**2 - 12.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (sqrt(2736) + (-3*(sqrt(2736) + 3))**2 + sqrt(2736) - (-3 + (sqrt(2736)*1 - sqrt(2736))))).\nAnswer: -148224 - 4032*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 8*x + 237. Calculate y(22).\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 189651430 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-4\/5)*u**2*(u\/u**(-1\/4))\/u*u*u\/(u\/u**10) assuming u is positive.\nAnswer: u**(269\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -10*b**2. Let i(t) = 96 + 2*t**2 - 190 + 94. Give i(d(x)).\nAnswer: 200*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + v**3)*(-63 + 39 + 2*v - 67) to the form x*v**3 + t*v**2 + q*v + l*v**4 + o and give x.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (47 - 20) + -28\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, 0.3, -6609?\nAnswer: -6609","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -32, -6, 52, 154, 312, 538?\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**1*(m*((m**25*m)\/m*m)\/m*m)\/m*(m**(3\/7))**30 assuming m is positive.\nAnswer: m**(279\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2962 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: Divide -48 by -10757609.\nAnswer: 48\/10757609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 - 3.97. Suppose 7*x = 6*x - 1. Which is the biggest value? (a) -2 (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14943351, 29886769, 44830187, 59773605?\nAnswer: 74717023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 227860, 455731, 683602, 911473, 1139344?\n\"Answer: 227871*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3192, 2028, 886, -228, -1308, -2348?\nAnswer: -3342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 1\/2, 4, -1\/7 in descending order.\nAnswer: 4, 1\/2, -0.02, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 4, 417.\nAnswer: -2, 3, 4, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}