diff --git "a/data/dm_maths/full_data/10495_11255.jsonl" "b/data/dm_maths/full_data/10495_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10495_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Rearrange -3 + 3 - 254*k + 138*k to the form r + w*k and give w.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 1457568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k + 4. Let m(d) = 3*d + 4. Let u(p) = -6*m(p) + 5*v(p). Let i be u(6). Suppose -4*s + l = -i, -9 = 5*s + 3*l - 2. Solve 0*x - x = s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8601 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17507643 rounded to 4 decimal places?\nAnswer: -0.1751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3228 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*2*(sqrt(1300) + -2 + -2).\nAnswer: -32 + 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -107, -5 in descending order.\nAnswer: 19, -5, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 7*l - 39. Let t be y(4). Let r be -8 + (2 - -2) + -2. List the prime factors of 2\/r + t + (-728)\/(-6).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 0 - (-4 - 0). Suppose 4*u - 5*n - 19 = -h*n, u - 4*n + 14 = 0. What is the remainder when 8\/6*(-30)\/(-4) is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 16*n + 3. What is x(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s = 186 - 576. Does 8 divide 25\/s - 2724\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -21, -0.004, -1114, -4?\nAnswer: -1114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - (-5 + -2 + 6 + 10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*h - d - 8, -d = 5. Let w(q) = q**2 - 2*q - 1. Let m be w(-2). Let f(l) = -l**2 + 7*l - 1. Let x be f(m). Put h, 7, x in ascending order.\nAnswer: h, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 3*j - 2. Let o be v(2). Let a(t) = 3*t + 123. Calculate the remainder when a(-17) is divided by (52\/(-5))\/(o\/10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 2*t**3 - 3*t)*(-3 + 4 + 2).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 13*j**2 + 664*j - 3186. Let x(v) = 50*v**2 + 2655*v - 12740. Let q(w) = 35*o(w) - 9*x(w). Suppose q(r) = 0. Calculate r.\nAnswer: 5, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 less than -11.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**5 + 80*n**3 + 1212*n - 2 wrt n?\nAnswer: -60*n**3 + 480*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -5 - (-2 - -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -16*u**2 - 943*u + 62. Let t be s(-59). Let g(f) be the first derivative of 3\/4*f**2 + 1\/4*f**t + 3\/4*f + 9. Determine p, given that g(p) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 270, 587, 1026, 1587, 2270, 3075?\nAnswer: 4002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 3*t**2 + 5*t - 1. Suppose 3*i = -i + 16. Let w be r(i). Solve 0 = -5*b + 10, w*b + 2*b - 22 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (210\/(-8))\/((-6)\/24). Suppose 0 = -3*q - f - 252. Let l = -22 - q. List the prime factors of l.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6)*10*-1. Solve 4 = -t*h + 29 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.78 + -22.38. Sort x, 1\/3, 0.52, 0.2 in increasing order.\nAnswer: 0.2, 1\/3, x, 0.52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {k: 1, w: 2, e: 1, n: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38312?\nAnswer: 2, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -550.\nAnswer: -549.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -9*h - 77. Let c(b) = 2*b - 2. Give -5*c(m) - l(m).\nAnswer: -m + 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1177 + -1171. What is the greatest common divisor of s and 177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2, 5 = 4*b - 4*o - 11. Suppose h = -5*z - 4 + 5, -b*z + 4 = 4*h. What is the units digit of h*(-665)\/(-14)*(-4)\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/((210\/6)\/980)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53995 at least as big as 53993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0.5, -5, 0.3, 2.15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*c + 11 + 9, -c + 4*x + 4 = 0. Suppose -28*d - 1424 = -30*d - c*s, 0 = 2*d + 3*s - 1421. List the prime factors of d.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((-2 - -7) + (-30 - -25)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 15*r**2 - 2*r + 2. Let i(t) = -5*t**3 + 78*t**2 - 27*t + 26. Let n(j) = 4*a(j) - i(j). Calculate n(17).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/251, 0.08015, 0.02?\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -5 (b) 26.937 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*j**3 - 2*j**3 - 2*j**3)*(0 - 16 - 52)*(-1 + 1 - 3*j).\nAnswer: 1224*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 242, 1, -362, -853, -1478, -2243, -3154, -4217?\n\"Answer: -m**3 - 55*m**2 - 69*m + 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117001 + 116741 = 52*l, 4*l - 37 = -0*r - 3*r for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7412\/8 + 20\/(-8). Let b = u - 937. Which is smaller: b or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -887680*z**4 - z**3 + 2*z**2 - 44077*z - 82 wrt z.\nAnswer: -10652160*z**2 - 6*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/4)*b*b\/b**(4\/7)*b assuming b is positive.\nAnswer: b**(61\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*r + 3544 = 1027, 2*r = -4*z + 3354. Let o = z + -835. Solve o*u + 11*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20954546.\nAnswer: 2, 10477273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1566 - 714*a**2 - 8385 + 1094 + 2305 + 1943 with respect to a.\nAnswer: -1428*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 5*q - 3. Let w be z(3). Let t be 1 + (12\/w)\/4. Let f be 2 + -6 + 3 + t. Calculate the highest common divisor of 9 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*c + 78, r - 98 = -4*c - 8. Suppose 8 = -5*y + 33. Calculate the remainder when c is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.103276 - 0.103. Round y to five decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t = -91158 - 7561. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -1\/8 (b) -1\/10 (c) 69 (d) 2\/5 (e) -0.38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 13*o**2 + 8*o + 17. Is s(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, a: 1, n: 2, o: 1}. What is prob of sequence ano?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9650533 take away 0.1?\nAnswer: 9650532.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + p - 2*p)*(4*p + 3*p + 2*p).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15145, -34706, -58687, -87088, -119909, -157150?\nAnswer: -198811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4599493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3332.5 + -3333. Put u, -1\/57, 0.3 in decreasing order.\nAnswer: 0.3, -1\/57, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p = 18*p - 22 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*o + 2*o = -46, 0 = 2*n + 3*o + 51. Let b = -14 - n. Suppose 0 - 2*s**2 + 2\/3*s - 2\/3*s**b + 2*s**3 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-294)\/(-77)) + (-1 - 144\/66)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a factor of 1081152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5075070 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let y(w) = -w + 11. Let d be y(8). Suppose -d*v = -4*q - 6, -6*v - 5*q = -2*v - 8. Let t be u(v). Solve -1 = 3*j + s, 4*j + 0*s + 4 = -t*s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4028 is divided by 126?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6254646?\nAnswer: 2, 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 1:35 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.01 (b) 940 (c) 2.4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**4\/24 + m**3\/6 + 5*m**2 + 7*m. Let w(j) = 3. Let i(u) = -1. Let k(t) = -2*i(t) - w(t). Calculate 3*b(f) + 4*k(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-9))\/(3\/(-9)). Suppose 0 = d + c - 2. Let f = d - -1. What is the greatest common divisor of 12 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (0\/3 + -2). Find the common denominator of (-2)\/i - (-37)\/(-12) and 39\/91*63*1\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 654570b6 + -5?\nAnswer: 654570b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1157 = -3266*k + 3253*k. Solve 37*g = -22 - k for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flklfflfflf. What is prob of sequence lk?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4 + 1 = 0. What is the remainder when (-1070)\/(-20) - o\/(-2) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, o: 8}. Give prob of picking 2 o.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 791.53 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8576, 5, -37, -0.04, 0.2 in decreasing order.\nAnswer: 8576, 5, 0.2, -0.04, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -3, 0.0358 in decreasing order.\nAnswer: 0.0358, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4 - 26. Let y be 2\/5 + 46\/10. Calculate the greatest common divisor of u and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(343) - sqrt(343) - (sqrt(567) + -1)**2 - (sqrt(56)\/(sqrt(8)*-3) + (sqrt(21)\/sqrt(3) + 2)**2))*3.\nAnswer: -1734 + 43*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3755010*u**4 - 1648609?\nAnswer: 15020040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/35 - 30\/(-7). Suppose -2*v - 4*o = -5*o - 84, -3*v = o - 136. Suppose -t*j = -6*j + v. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*((sqrt(343) - sqrt(343)*-1)**2 + sqrt(7))*-5 - (5 + sqrt(7) + -2 - (sqrt(847) + sqrt(847) + 0)**2)).\nAnswer: -30917 - 26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/7, 13, 1220.22?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*((j*j*j**0\/j*j*j*j)\/j*j)\/j))**(-24\/11)*j**(-2\/9)\/j**(-1\/6))\/((j\/((j*j**(-1))\/j))**(-4\/3)\/(j**(-2\/7)\/j)**(-33)) assuming j is positive.\nAnswer: j**(71497\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 2*j**2 - j**2 + (-773*j + 512*j - 373*j)*(-5*j + 4*j - 3*j) in the form b*j**2 + r + f*j and give b.\nAnswer: 2534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 152 + -151.99921. What is c rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 469.\nAnswer: 2345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 156 - 125. Let i = -188 + 299. Calculate the remainder when i is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + 0 + sqrt(500) + -4 + (sqrt(50) + (1*sqrt(300))\/sqrt(6))\/(-1*sqrt(10)*-6)))**2.\nAnswer: -1984*sqrt(5)\/3 + 21524\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 8*j + 65. Let m be r(-12). Let p = -28 - m. Solve p*f - f = 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15859358 is divided by 5286451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 10 - -3 - 2. Suppose -5*y = -6*y - r. Let x(p) = p**2 + 8*p + 8. What are the prime factors of x(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 608.1227 + -0.1227. Let i = 608 - w. Which is smaller: i or -25.6?\nAnswer: -25.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 = 7. Suppose -34 = -f + y*m, 2*f + m = -2*f + 153. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 - 88*l + 2*l**3 + 88*l.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j - 74 = -3*m, -3*j + 106 = 4*m. Suppose -d + 5*h + m = 0, 2*d + h + 14 = -3*h. Let x(q) = q**2 - 7*q + 6. Let k be x(7). Solve -k*t = -d*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -33*g**3 + 8*g + 5. Let x(m) = -32*m**3 + 9*m + 4. Let k(l) = 5*p(l) - 6*x(l). Find the second derivative of k(i) wrt i.\nAnswer: 162*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 33 = 477. Suppose 0*k + t = 4*k. Suppose -g - 2*g - n + 63 = 0, 0 = -g + 5*n + k. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*-13\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**2 + 1. Let s(y) = 136 - 136 - 7*y. Give s(f(m)).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54017*c**2 - 67848*c - 1.\nAnswer: -108034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 22 - 3 - 1 as q + a*m and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -5*r - 20. Suppose -5*t + 453 = 2*f - 0*f, -4*f = r*t - 372. Suppose i = 2*i - t. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2146069 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2 + 27*g + 42 = 0. Calculate g.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*a**2 + 69*a**2 - 59*a**2.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gekdtld. Give prob of picking 1 k and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 149292 and 918720?\nAnswer: 11943360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -0.06 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*k + 3*c - 3, 0 = 3*c - 12. Let l be (6\/(-10))\/(k\/(-5)). Determine a, given that 21\/5*a**5 - 21\/5*a**l + 6\/5*a**2 + 0 + 0*a - 6\/5*a**4 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 230.59600926805.\nAnswer: 230.79600926805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 192*f**3 + 52*f**2 - 4*f = 0.\nAnswer: -1\/3, 0, 1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7368.341 weeks?\nAnswer: 4456372636800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 + 1696024*z**3 + 179779392000*z**2 - 359565568128*z.\nAnswer: 4*z*(z - 2)*(z + 212004)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -19, -5, -7, -4 in increasing order.\nAnswer: -19, -7, -6, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1120525 is divided by 160073.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 404723 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0066951 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2636762?\nAnswer: 2, 151, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 + 8*x + 4. Let q(p) = 2*p**2 - 7*p - 3. What is -3*i(h) - 4*q(h)?\nAnswer: h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (251 + -297 + 73)*44\/(-18)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4dd - 3?\nAnswer: -4e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**7\/504 + p**6\/48 + p**5\/12 + 5*p**4\/12 + 15*p. Let d(y) be the third derivative of a(y). Solve d(x) = 0 for x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-585)\/(-52) - 1\/4. Calculate the highest common factor of x and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/12)\/(42\/18).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*m**4 - 111927*m**2 + 2*m - 12479725.\nAnswer: -32*m**3 - 223854*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 15*w + 6. Let a be q(-15). Put 0, 8, a in increasing order.\nAnswer: 0, a, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(176) - (sqrt(176) + 0 - sqrt(176))) - ((sqrt(176))**2 - (2 + (sqrt(11) - sqrt(176)))**2).\nAnswer: -73 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*-4*sqrt(720)*-1*3)**2.\nAnswer: 3456*sqrt(5) + 933136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w = -h + 250, 3*h - 78 = -w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258 - 4210*v**3 + 192 + 4212*v**3.\nAnswer: 2*v**3 + 450","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1016 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1584))\/sqrt(4).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)*g)**(11\/6)\/(g**1)**20 assuming g is positive.\nAnswer: g**(-785\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 164380426 to the power of 1\/3, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from feeffffffe.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/102172 and -53\/11914?\nAnswer: 86948372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v*v*v*v**(1\/8)*v*v)*v))\/(v**(-10)\/v) assuming v is positive.\nAnswer: v**(113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (8 + -4 - (-2 - -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 12*b**3 + 38*b**2 - 29*b - 35. Let t(f) = -19*f**3 - 58*f**2 + 43*f + 53. Let n(d) = 5*t(d) + 8*w(d). What is n(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366214 (base 7) in base 2?\nAnswer: 10000010110110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxxsxxxsxxxx. What is prob of sequence sxss?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 1034?\nAnswer: 4136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 - 707*f**2 + 1656575*f\/4 - 2053075.\nAnswer: (f - 2003)*(f - 820)*(f - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkikiiiikiiiikiiii?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9424*n - 5*p + 26 = -9421*n, -2*n + p = 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/5))**(4\/7)*h**(-7)\/((h\/h**(-1\/3))\/h*h*h) assuming h is positive.\nAnswer: h**(-944\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 133206*k + 2397704. Calculate s(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t - 241*t = -16926. Calculate the remainder when 556 is divided by t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 573, 1945, 4615, 9015, 15577, 24733, 36915?\nAnswer: 52555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327361*y - 163661*y - 163699*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10509618, 10509615, 10509610, 10509603, 10509594?\nAnswer: 10509583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*x**2 + 5 - 2 + 39*x**2 to the form a + v*x**2 + p*x and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49, 71, 107, 157, 221, 299?\n\"Answer: 7*v**2 + v + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -8. What is b in 7*b**3 - 3*b**3 + s*b**4 - 3*b**2 - 2*b**4 + b**2 = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -118 (b) -2.772 (c) 49 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -221*z**3 + z**2 - 4*z - 90 wrt z?\nAnswer: -1326*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 40. Let i = 0 - -2. Suppose 344 = i*q - 11*w + 9*w, 3*q + w - 532 = 0. Calculate the greatest common factor of d and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*n - 25 = 0, 5*i + 5*n - 10 = 10. Let h(o) = -o**3 + 9*o**2 + 12. Let f be h(i). Calculate the highest common divisor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2989950 - -7949950. Suppose 208*o - 206*o - y = 0. Round o to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -318\/7 + 69*m - 24*m**2 + 3\/7*m**3.\nAnswer: 3*(m - 53)*(m - 2)*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 14*s - 8. Let x be q(15). Suppose 0 = l + k - 4, l + 2*k - 10 = x*k. Differentiate 2 + l + 6 + 14*g**3 wrt g.\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) - (-9)\/(-7). Let s(j) = 12*j. Let v be s(w). Let q be (v\/10)\/((-6)\/20). Solve 8 = q*l, -2*m - 17 - 1 = -4*l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.7. Let t = -2.131 - -0.031. Let d = 2 + t. Which is the closest to d? (a) 0 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 14*l**2 - 2*l + 2. Let j be x(1). Let p(g) = g**3 - 15*g**2 + 16*g + 34. Let u be p(j). Let t = u + 607. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/390)\/((-12)\/(-90)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**5\/120 - 23*k**4\/24 + 47*k**3\/12 + 54*k**2. Factor y(s).\nAnswer: -(s - 1)*(s + 47)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2348959005 to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/64)*r*r**(-4\/3) assuming r is positive.\nAnswer: r**(-61\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 d when four letters picked without replacement from {l: 14, d: 5}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 7:07 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 26267346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1789678.1451 rounded to the nearest 10000?\nAnswer: -1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100002967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.21 + -2.59. Let y = 1 + b. Let q = 2 + y. What is the closest to -2\/5 in 3, q, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 162 + -163. Is (h\/(-3))\/((0 + -1)\/(-24)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k = 524 - 524 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 71731*c - 71731*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4 + sqrt(300))*3)**2 + 3 + -5.\nAnswer: -3600*sqrt(3) + 14218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(32))**2 - (0 + -3*sqrt(19)).\nAnswer: 19\/4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhohhvovdvdmvm. Give prob of sequence xdm.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**3\/9 - 1168*i**2\/9 + 35720*i\/3 = 0.\nAnswer: 0, 114, 470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 665, 659, 653, 647?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11821*v*w**3 + 15*v*w - 1981072*v with respect to w.\nAnswer: -35463*v*w**2 + 15*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) 2 (c) 1.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-9)\/18*6\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. Suppose k*l + 45 = -t + 6*t, 4*t + l = 36. What is the remainder when 16 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344, 389, 434, 479?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286400 is divided by 40913.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 188a39 (base 12) in base 7?\nAnswer: 3440505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10*h - 21. What is j(5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1110*u**2 - u + 222?\nAnswer: 2220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-154)\/55)*(-93)\/(-6)*176\/110.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.038374 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9560 and -6732.\nAnswer: -16292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 + 1.9. What is the third smallest value in -2, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 4) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17368107*f - 50480664?\nAnswer: -17368107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-2\/9))\/((v*v**5\/v)\/v))**(3\/5))**(-2\/33) assuming v is positive.\nAnswer: v**(10\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q**2 - 9*q - 191. Let a(l) = l**2 - 3*l - 2. Let t(c) = 3*a(c) - o(c). Let f(b) be the first derivative of t(b). Calculate f(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 199\/4 - 50. Let g be 23*-1*(2 + -5 + 2). Suppose -g = 13*f + 16. What is the biggest value in h, 19, f?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 2, 8, -4, 0.\nAnswer: -10, -4, 0, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, d: 2, z: 8, b: 3}. Give prob of picking 1 z and 2 d.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10b4 (base 13) to base 8\nAnswer: -4450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 19. Let t be x(12). Suppose -y + t*s + 39 = 0, -3 - 7 = 5*s. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 335782 and -3.\nAnswer: -1007346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 3) to base 14\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*c**4 - 20*c**2 + 32*c**4 + c**3 - 19*c**4 to the form n*c**3 + h*c**2 + z*c + b*c**4 + r and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8772*d**5 - 26*d**4 - 975*d**2 + 2*d + 69 wrt d?\nAnswer: 526320*d**2 - 624*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - 6)*25\/(-2). Suppose -5*b - 705 = -n. Let h = b + 183. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + t - 37 = 0, 2*m + 2*t = -0*t + 26. Let q be 3\/(-3)*3\/(-1). Let i be q\/2*4\/3. Solve 0 = i*v - m - 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4080 - -15?\nAnswer: -4069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b**3 - 3*b**2 - b - 1. Let v(r) = 5*r + 3*r**2 + 13*r**2 + 13*r**3 + 21*r**3 + 5. Let h(p) = 11*a(p) + 2*v(p). What is the units digit of h(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - d - 1. Let i = 2 - 3. Let x = 2 - i. Let f be (x\/9)\/((-2)\/6). Give y(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from kltkmlkltkm.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/((d*d\/(d\/(d*d**(1\/4))))\/d)*d*(d**(1\/5)*d)\/d)\/(d*d\/d**(-2)*d)**(3\/5) assuming d is positive.\nAnswer: d**(-21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.92240551 rounded to four dps?\nAnswer: -0.9224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 32 = -98. Let i = q + -35. Let h = -28 + i. Solve z = h*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 3*g**3 + 3*g + (-4*g + 5*g - 3*g)*(158*g - 158*g + 12*g**2) + g**3 - 2*g**3 - g**3 to t*g + q + h*g**2 + m*g**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 + 13*k**3 - 5*k - 3*k**2 - 12*k**3 - 21*k**3.\nAnswer: -20*k**3 + k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 82*y + 7177. Is s(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (75 + 2)\/((32\/(-2))\/(-16)). Calculate the greatest common factor of 33 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*m + 272, w - 4*m - m = 59. Suppose 3*r = -0*r - w. Let c = r - -27. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -262 - -261.57. Let k = 0.4275 + y. Round k to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 51. Let v be (1 - k\/(-6))*(5 + -5). What is the third derivative of c**2 - 3*c**2 + 4*c**6 - 5*c**2 + v*c**6 wrt c?\nAnswer: 480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14361390 divided by 159571?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 214.6 to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.2 + 1.2. Let v = -0.304 + 1.394. Let g = 1.29 - v. Which is the third biggest value? (a) 5\/4 (b) l (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005261164817 to seven decimal places.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9*b**(2\/41)*b*b)\/(b\/(b\/(b**44\/b))*b*b\/(b*(b*b\/(b\/(b*b**(2\/19))*b)*b)\/b)) assuming b is positive.\nAnswer: b**(-24808\/779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2057, -863, -10.\nAnswer: -863, -10, 2057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1858*i = 379*i + 754*i - 138275 - 8284 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 2:55 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**3\/6 - u**2 + u + 22. Suppose -3 = 2*k + 1, -4*h = -2*k + 4. Let j(t) = 1. What is h*d(v) - 3*j(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 2 = -3*h, -w - 18 = -6*h + 2*h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 8*h + 1. Let x(l) = -364*l + 57. Is x(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, -11\/5, -1\/3, -14 in increasing order.\nAnswer: -14, -11\/5, -1\/3, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2091\/2710 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39125 + -26318. What are the prime factors of b?\nAnswer: 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.0036 + 135384?\nAnswer: 135493.0036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-six fifths of a century?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.6 - -2. Let t = 25.2 - 25.379. Let f = t + -0.021. What is the second biggest value in a, 2\/7, -4, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 19*j - 3*j + 133 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5*(-3)\/60)\/(-1). Let v = -9 - -9.04. Let g = -0.16 - v. Which is the closest to g? (a) f (b) 1\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32 - 6 - ((-2 - -6) + -1 - 8). Solve 36 = z*r - 57 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 + -6 + (-74)\/(-6) - (-123330)\/18.\nAnswer: 2, 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -11110?\nAnswer: -11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 12:51 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12\/43 - -1367\/430. Find the common denominator of 56\/3 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*r + 205*r - 2*r**2 + 36*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 divided by 51?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153300, 306603, 459906?\nAnswer: 613209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 - 81. Let t be -10 - -7 - (-1 - (-495)\/(-249)). Is c >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -661*v**2 + 361 - 385 + 663*v**2.\nAnswer: 2*v**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.4049 - 6.4. What is t rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*k**3 - 65*k**3 + 18*k**3 + 134*k**3.\nAnswer: 193*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6))**(10\/11) assuming i is positive.\nAnswer: i**(-60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 2*j - 10. Let l be w(3). Let c(r) = 3*r**2 + 17*r + 27. Calculate the least common multiple of c(l) and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 149*m + 300. Calculate d(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/5 - 118*l**2\/5 + 244*l - 1104\/5.\nAnswer: 2*(l - 46)*(l - 12)*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3 (b) -0.14 (c) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 518*n - 73. Let h be d(13). Let q = -2670 + h. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1506 - -19563\/13. Let y = a + 1. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.0739 - -0.0739. Let k = -14 + 7. Let v = k + 6. What is the second smallest value in v, 5, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -254171*a**5 - 270033*a wrt a.\nAnswer: -5083420*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 160*m - 214. Is j(3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.42, -4, 5.\nAnswer: -4, -2, 0.42, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*d - 102, -24 + 128 = -5*d - v. Round d to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -43, -12, 396 in descending order.\nAnswer: 396, -2, -12, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 2:29 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 6 + 0*v**2 - 2*v**2 + (v + v - v)*(-1 + 1 - 2*v) + 13*v - 13*v - 5*v**2 - v**2 - 2*v**2 + 0*v**2 - v**2 + 0*v**2 + 3*v**2.\nAnswer: -10*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-90)\/(-72) - (-2)\/(-8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (1 + 1 - 1). Let p = -225 + 208. Let t(c) = -2*c - 32. Let j be t(p). Sort i, 5, 4, j in increasing order.\nAnswer: i, j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 40 + -5 + -19\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.04, -155, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*s + 11, 9*s + 4*k = 6*k + 29. Factor -1\/5*z**4 + 0 + 3\/5*z**s + 0*z**2 - 4\/5*z.\nAnswer: -z*(z - 2)**2*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((2\/(-6))\/((-4)\/(-6)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 8*s - 37. Let v be z(8). Let l = v - 254\/3. What is the common denominator of l and -21\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74\/39 - 16\/13. Factor u*f**3 - 4\/3 + 0*f**2 - 2*f.\nAnswer: 2*(f - 2)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y - 2*y - 99 = 0. Suppose 3*f - 8134 = -2*w, -y*w - 2*f + 10270 = -1941. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*g**2 + 4 + g**2 - 4*g**2 + 2*g**2 + (3 + 2 - 6)*(-4*g**2 + 6*g**2 + 0*g**2) - g**2 - 2 + 2 - 3 + 3*g**2 + 3 - g**2 - 2*g + 2*g.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.072 or 9104?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -300 - -432. Calculate the remainder when 269 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101010010 (base 2) in base 12?\nAnswer: 5aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-4*(sqrt(78)*-1*1 + sqrt(78)))\/(4*sqrt(150)*2*5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 474*j + 4 - 2 - 3 - 471*j + 20*j**3 to v + x*j**2 + n*j + b*j**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -5*u + 35 - 36, -5*n + 2*u = -12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + -2*-1*sqrt(114))\/(sqrt(72) - sqrt(72)*-2 - sqrt(72)))\/(sqrt(3)*3*3 + sqrt(36)\/sqrt(48)).\nAnswer: sqrt(19)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-10) + 156\/10. Let u be 80\/15 + (-1)\/3. Suppose -3*k - h = -u*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -7*l**4\/12 + 81132*l**2. Let h(q) = -10*q + 5. Let x(p) = -11*p + 6. Let y(f) = 6*h(f) - 5*x(f). Calculate c(y(j)).\nAnswer: 70*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4536 + 9036. Round p to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 10495 = 10210 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3010 divided by -2722?\nAnswer: -1505\/1361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4151\/490 - (-4)\/(-10) and (-245)\/126 + 1\/3.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0683 + -2661.0683. Let s = 2825.3 + f. Let z = -174 + s. What is z rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 260615570?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -193.7 and 0.2.\nAnswer: -193.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94009036.\nAnswer: 2, 11, 19, 139, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.7666 minutes in nanoseconds?\nAnswer: 8385996000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 10 = 2*v, 8*v - 4*l = 12*v + 4. Solve 4*a + 20 - 2 = 5*i, -i - 4 = v*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 5. Let s be f(-5). Suppose s = -4*b + 5*n + 35 + 13, 5*b - 60 = 3*n. Suppose b = 2*p - 16. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -187 - -183. Let o = 811\/962 + -51\/74. What is the fourth smallest value in j, -0.4, 1\/57, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 6*u**2 - u - 5. Let o be h(-6). Suppose -4*b + 8 = 3*z - 2, -z + 3*b - o = 0. Solve 0*j + z = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*y + 25 = 0, 15 = l - 2*y - 0*y. Solve 3*n - 16 = 2*b - 4*b, 2*b = l*n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18.4557, -2\/9, -1\/10, 0.24 in decreasing order.\nAnswer: 0.24, -1\/10, -2\/9, -18.4557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45908 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*o + x - 252, 3*o + x = 343. Calculate the least common multiple of o and 10.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2 - 2523662*v + 47948856 = 0 for v.\nAnswer: 19, 1261812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 t, and 1 x when three letters picked without replacement from ttxtq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*v**3 - 13254*v**2 + 8842*v - 1474.\nAnswer: -2*(v + 737)*(3*v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaadaaaaadaaaaaaaaaa. Give prob of sequence aaa.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2*t**3 - 2*t)*(175 - 133 - 410).\nAnswer: -736*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h**2 + 14*h**2 + 2*h + 575 - 2*h**2 - 8*h**3 - 6*h**2 + h**2 in the form r + d*h**2 + s*h + k*h**3 and give r.\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7*s - 4*s - 5 = 0, 4*s - 12 = 0. Put -4, 1\/4, n, 5 in decreasing order.\nAnswer: 5, 1\/4, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + -0.6. Let f = -0.2 - w. Let c = -5 - -8. Do c and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94559, -94591, -94629, -94673, -94723, -94779?\nAnswer: -94841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34 + 32)*1\/2. What is the remainder when 41 is divided by (5 + p)*(-33)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 5:37 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/5)*m*m**(-2)\/m)\/(m**(-6)*m*m**(-1)) assuming m is positive.\nAnswer: m**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 50.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 14, 83 in descending order.\nAnswer: 83, 14, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 16*y**2 - 2*y - 30. Let z be w(-16). What is the derivative of 20*o**4 + 133*o**z + 173 + 6*o**4 - 131*o**2 + 27*o**4 wrt o?\nAnswer: 212*o**3 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (sqrt(133) - -1*sqrt(133)))\/sqrt(7) + sqrt(76)*-3.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 3. Let h = 1.6 + k. Let j(q) = q + 1. Let l be j(1). Which is the second biggest value? (a) 2\/9 (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**5\/60 - 5*k**4\/24 + 5*k**3\/6 + 528*k**2. Suppose -25 = -3*w - 10. Let z(j) = 4*j - 4. Calculate w*z(a) + 4*c(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*r**4 + 48*r + 16 + 45*r**2 + 29\/2*r**3.\nAnswer: (r + 1)*(r + 4)**2*(3*r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*j - 24, t - 2*t + 6 = 3*j. Let d(q) = -q**3 - 222*q + 6*q**2 + 22 - 13 + 117*q + 110*q. Is d(t) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177 + -119. Suppose 4 = -5*j - 26. Let i = j + h. Is i a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4756701*w*z**3 + 2*w*z**2 - 796593282*w + 15*z wrt z.\nAnswer: -14270103*w*z**2 + 4*w*z + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c5b1 + -2b?\nAnswer: c584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 2*q - 2, 2*c - 1 = -3*q - 4. Suppose 4*d - 2*d - 166 = c. Let r = d + -46. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/13 + (-486)\/117?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 271767\/(-253869) - 48\/(-44)\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*(sqrt(6912) + 0) + -1)*-5)**2.\nAnswer: 120000*sqrt(3) + 17280625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n + 0*n + 3*n)*(-3 - 2 + 4) - 3 - 2*n + 3 - 1 + 1 - 2*n)*(21 - 3 + 6)*(4*n + 4*n + 6*n).\nAnswer: -2016*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*b**2 - 4*b**2 + 69*b - 12*b**2 - 69*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -82*s. Let z(r) be the first derivative of r**2\/2 - 1083. Determine l(z(c)).\nAnswer: -82*c","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132 - -2052201?\nAnswer: 2052333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-2 - -1) + 54. Suppose 3*j = -4*x + z, j + 0*j - 1 = 0. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415240 divided by 141524?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5*c - 5 + 1, 2*c = 5*r - 66. Let o be 4\/r - 66\/(-14). Let a be (3\/(-4))\/((-3)\/12). Solve 22 = o*h - a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 2 + 2*z + 1)*(22*z**2 - 2*z + 2*z).\nAnswer: 44*z**3 - 22*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 0*c - 34 = 5*d, 4*d = 5*c - 35 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1074619752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = h - 2*h. Suppose 3*t = -h*j + 42, j = 5*t - t - 56. Let o = 23 - t. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -5*f**2 - 4. Calculate r(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2519 divided by -1062?\nAnswer: -2519\/1062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((-4*(sqrt(99) - (2*sqrt(99) + sqrt(99))) - sqrt(99)) + sqrt(99) + sqrt(99)))\/(sqrt(81)*1*4))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 1:28 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 4, h: 5, d: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*y + 25 = 0, -2*y = 2*a - 0*y + 2. Suppose 21*w = -16*w + 111. Find the third derivative of -w*n**a + 93*n - 93*n + 3*n**2 wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*52\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -1\/4, 0, -1\/3, 373?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 121.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -482*l**2 + 94967*l - 2584. Calculate x(197).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -743 - -737. Let z be 16\/10*(k - (-10 + 9)). Which is smaller: -9 or z?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 <= -578\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -187 - 218 + 402 - 1247*t**2 + 6492*t**2 as i*t**2 + x*t + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -5, 3, 38 in increasing order.\nAnswer: -16, -5, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Suppose -l*t = t + 180. List the prime factors of t\/(-18)*(-9)\/(-2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 15.1 (c) -1.455 (d) -4 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**3 - 318365*z**2 + 5068291175*z - 15202008375 = 0. Calculate z.\nAnswer: 3, 31835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 - 2 - (-3 - (-3 + 5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2799*b + 265890. Calculate y(-95).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 174879843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.04 + 14.44. Which is the third biggest value? (a) -6 (b) q (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 15*o + 152. Let r be i(0). Let f(b) = -r*b - 159*b + 310*b. Let s(k) = 7*k**2 + 2. Calculate s(f(u)).\nAnswer: 7*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 12:48 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 3. Suppose y*z = i - 6*i + 222, 0 = -2*z - 3*i + 149. What is the remainder when z is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 2*l**2 + 7*l + 15. Is 25 a factor of n(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -193563151 less than or equal to -193563152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -518, -543, -568, -593?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3720 divided by -15?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 262, 305, -24, -869, -2374, -4683?\n\"Answer: -24*i**3 - 42*i**2 + 337*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from {l: 1, i: 2, j: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -3 + 11076\/70. Let i = t - 1018\/7. Let l = 243\/25 - i. What is the smallest value in 2\/7, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.0162 - -19. What is z rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118 + 112. Let v(y) = y**2 + 4*y - 8. Give v(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*x = 0, 47 - 45 = 3*y + 4*x. Factor 8*i**y - 52\/9*i + 8\/9.\nAnswer: 4*(2*i - 1)*(9*i - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 4*n**2 + 557*n**3.\nAnswer: 557*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {f: 2, b: 1, z: 2, j: 1, c: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + 1122?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 1:47 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h**2 + 74*h - 36. Let g be j(13). Solve g = 6*x + 2248 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3820 - 2279. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**3 - 633*r**2 + 18. Give j(-211).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 + 220*f**2\/9 - 446*f\/9 + 224\/9.\nAnswer: 2*(f - 1)**2*(f + 112)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -4.8. Let r = 1010\/11 - 92. Which is the second biggest value? (a) y (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 6*h + 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*(9 + 3\/((-120)\/328)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*y**3 - 3 - 5*y + 6*y + (-1 + 0 + 2)*(5 - 5 + 3*y**3) to s*y**2 + k*y + o + p*y**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5020 in -6, 6, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.01 + 5. Suppose 3*u = -0 - 6. Sort d, -0.4, u.\nAnswer: u, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 67440?\nAnswer: 202320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1596?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.73 (b) -0.034 (c) -0.7816\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 11:37 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145159 is divided by 8486.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -469.01 - -473. Let b = g - 4. Let r = -0.41 + b. What is r rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + 28 + (16 - 70)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1206286728?\nAnswer: 2, 3, 37, 179, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17991 - -28705. Suppose 62*a = 60*a + l. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302, -316, -352, -422, -538, -712?\nAnswer: -956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001453 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40102 - -4651791\/116. Find the common denominator of x and 15\/628.\nAnswer: 18212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**2 + 2. Let x(m) = 5*m**2 - 3*m - 2. Let w(i) = 9*i**2 - 5*i - 3. Let k(r) = -6*w(r) + 10*x(r). Calculate 7*k(u) + 6*t(u).\nAnswer: 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 3:05 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2185451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 4269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.048 - 2.952. Let w = 26 - 17. Which is the third biggest value? (a) -1\/3 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -2 in descending order.\nAnswer: 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 291 + -291.472. What is u rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24634 is divided by 103?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*r - 6, -5*x + 34 - 10 = 2*r. What is the third smallest value in 0.5, x, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 - -82.376. Let m = d - 0.166. What is m rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3928 less than 61577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -3 - 4) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -1\/19, -5, 1 in ascending order.\nAnswer: -5, -4\/7, -1\/19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -3*g - 11, 2*k - 6*k - 15 = -g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000067 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 567 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -11. Let y be (-2)\/(-4) - (-3 + k). Let f = 2\/7 + 0. What is the closest to 0.1 in f, y, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u**2 + 12*u**2 - 3*u**2)*(-2 + 6 - u + 3*u) + 1 - 2*u**3 - 1.\nAnswer: 30*u**3 + 64*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35279344141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2. Suppose 5*n - 5*d + 4*d - 97 = s, 0 = -4*n + 4*d + 84. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 10*x - 18. Suppose 5*b = 8*b - x. Find the second derivative of -b*d**2 + 114*d - 22*d**5 + 2*d**2 - 136*d wrt d.\nAnswer: -440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 0*n**3 - 2*n**3 - 81*n**2 + 5 + 80*n**2. Let p(c) = c + 3. Let u be p(-6). What is the tens digit of z(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 6078863.\nAnswer: -5\/6078863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -101100111100100011110?\nAnswer: -101100111100100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cb - 8?\nAnswer: c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6552434?\nAnswer: 2, 7, 29, 16139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2\/24)\/(24\/72)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005234 rounded to 6 dps?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -6*h + 2261. Calculate the lowest common multiple of h and 4.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10862117 not equal to 21724231\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 - 10*u**2 + 18*u + 55. Let x be l(11). Let z = x - 56260\/33. Is z bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2782922, -5565851, -8348800, -11131775, -13914782, -16697827?\n\"Answer: -o**3 - 4*o**2 - 2782910*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 4478083809?\nAnswer: -4478083809.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 24*m + 66. Let a be (0\/(-2) + 1)*21. Let u be v(a). Let l be -1925*(9\/u - -3997). Round l to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53597 is divided by 2915.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/63 and (-14 + (-1255)\/(-90))*(-357)\/(-539).\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113.6 * 800\nAnswer: -90880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (1*-3 + -2). Let l(p) = -p + 2*p + 0*p + f. Let n be (1*(9 - 4))\/1. Calculate l(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7331\/280 + 131\/5. Let t = 314057\/140 + -11224\/5. Calculate the common denominator of b and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1383 + 2084. Suppose 1464 + b = u + 4*x, 4 = 4*x. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -725756 divided by 2?\nAnswer: -362878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2159*h**3 + 662*h**3 + 1178*h**3 - 727*h**3.\nAnswer: 3272*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**3 + 27*r**2 + 91*r - 8. Let z(p) = -5*p**3 + 26*p**2 + 90*p - 8. Let m(c) = 6*y(c) - 5*z(c). What are the prime factors of m(-27)?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*l = -127*l + 815 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12853043*y**2 - 492567 wrt y?\nAnswer: -25706086*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5298743 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*t - 187*t = -120. Calculate the least common multiple of t and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 5103\/84 - 31.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*((-4)\/(-2) + -1). Suppose 0 = -c*h + 5*a + 22, -2*h - 2*h + 5*a = -24. Find the first derivative of 1 + 0*v**3 - v**3 + h wrt v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -417 - -820. Suppose 2121 + u = 4*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*h + 465*h - 130*h = 2994 - 45358 for h.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2))**(-20)*((q\/(q*((q\/(q**(-2\/5)\/q))\/q)\/q))\/q*q*q)**(-2\/45))**(-2\/5) assuming q is positive.\nAnswer: q**(-1496\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + f + 10 = h, 3*f = 0. Let d(u) be the first derivative of u**2 - 4\/3*u**3 - 1\/3*u**6 + 0*u - 3 + 4\/5*u**h + 0*u**4. Determine z so that d(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1114334 and 884?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, i: 16}. Give prob of sequence ipi.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(456) - (sqrt(456) - (sqrt(456) - (-3*sqrt(456) - sqrt(456)) - sqrt(456))))\/sqrt(12) + sqrt(38))\/(sqrt(10)\/sqrt(5)*-1).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 355709, 711418, 1067127, 1422836, 1778545, 2134254?\n\"Answer: 355709*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + -3 + sqrt(19)*-2 + -2 + (sqrt(2299) + 0)**2 + sqrt(2299) + (sqrt(76) + -2 + sqrt(76))**2 + -1.\nAnswer: -7*sqrt(19) + 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 22*c**3 + 4*c - 2. Let h(x) = -7*x + 5*x**3 - 48*x**3 + 721862 - 721858. Determine 4*h(v) + 7*s(v).\nAnswer: -18*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-24)*(-8)\/(-3). What are the prime factors of g*4*9285\/(-120)?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, y: 2, h: 4}. Give prob of picking 1 y, 2 i, and 1 h.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000805472 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (sqrt(567) + 0 + sqrt(567) + sqrt(567)))*3.\nAnswer: -54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 5 - 1)*(-o**2 - 6*o + 4*o - 2*o**2) to the form d*o**2 + f*o + z and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33594632 to the nearest integer?\nAnswer: 5796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23\/4 (b) -4 (c) -2\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4444 + -4453. Let z = -39 + 42. What is the fourth biggest value in j, z, -2\/19, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azu when three letters picked without replacement from {a: 2, u: 8, z: 2, j: 3}?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1840\/575*(-310)\/(-4). Sort 2, n, -11.\nAnswer: -11, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19792427.\nAnswer: 43, 460289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -142 - 120. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 795*l - 165*l + 9 - 9.\nAnswer: 630*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 52*r**3 - 74*r + 15 + 23*r**2 - 19*r**2 - 3 - 16*r**4 + 22*r = 0.\nAnswer: -1, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 535964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 3 = 3*z - 5*z, 0 = 2*t - 2*z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000175 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523 a factor of 17753611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 s when three letters picked without replacement from sskssssttkkkssks?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 529 - 489, 4*m - 540564 = -5*a. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -4*z**4 - 358*z**3\/9 + 319*z**2\/3 - 84*z - 7679. Determine h so that q(h) = 0.\nAnswer: -9, 2\/3, 7\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**6\/15 - m**3\/6 + 97*m**2 + 5*m - 4. What is the derivative of y(p) wrt p?\nAnswer: -8*p**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 5*a**2 + 21 + 22 + 6*a.\nAnswer: -5*a**2 + 4*a + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/7 (b) -0.3 (c) -2\/3857 (d) -39 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 19*a + 79. Let u be d(12). Suppose -g = 2*l - 7, -3*g = -0*g + 3*l - 9. Put u, 0, 4, g in descending order.\nAnswer: 4, 0, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37916 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067386466 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/26 - (-20)\/130. Let f = -1\/51 - -6\/17. Which is the third biggest value? (a) t (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78183.75m in nanometers?\nAnswer: 78183750000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16, -9, -2, 5?\n\"Answer: 7*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 338649*k**3 - 4*k**2 + 2*k - 3193484?\nAnswer: 1015947*k**2 - 8*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/52)\/(5 + -6)*2. Which is the closest to -0.1? (a) 25 (b) 0.08 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2877 = -14*f - 525. Let s(y) = y**3 + 9*y**2 + 4*y - 14. Let b be s(-7). What is the greatest common factor of b and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 times 7\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 0*s + 0*s + 3*s as m*s + b and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220201 + -2?\nAnswer: 1220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 35*c**2 - 11*c + 17. What is the units digit of d(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3*m - 318, 5*q = 4*m - 0*m + 503. What is the remainder when q is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(-13) assuming j is positive.\nAnswer: j**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from {x: 4, y: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-350)\/(-15)*(3 + 23\/(-7)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and 0.54092 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16285*m**4*v**3 + v**3 - 6*v**2 - 27*v wrt m?\nAnswer: 65140*m**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 23 + 3118982*d + 3118976*d - 6237948*d.\nAnswer: -d**2 + 10*d + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 18, l: 2}. Give prob of sequence lppp.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0074282879 to 4 dps.\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cppc when four letters picked without replacement from cpcpl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -192 in descending order.\nAnswer: -2, -4, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y + 4 = 0. Suppose y*c + 5 + 19 = 3*z, -c - 23 = -5*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5\/9 + 47648*j**4 + 428824*j**3\/9 - 47648*j**2 - 428828*j\/9 = 0. Calculate j.\nAnswer: -107207, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59244248237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2486 is divided by 178.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/9 - 9392*s**2\/9 - 3140*s\/3 + 6264.\nAnswer: 4*(s - 2349)*(s - 2)*(s + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/21 in 4\/11, -3, -21?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*k - 24, -k = -4*x + 3 - 11. Let v(f) = 6*f**3 + f**2. What is v(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 1956*r - 87965. Give x(46).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 10\/(-400)*-8 + (-34)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**4 - 79*c**2 + 2*c + 75*c**2 + 4*c**4 - c**4 to the form z*c + a + q*c**3 + w*c**4 + n*c**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (6 + (-5 - -9) - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.2142266 to three dps.\nAnswer: 22.214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {z: 8, f: 5, n: 5}.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 41 = 5*n. Let a = 815 - 809. Calculate the remainder when n is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 350838.1kg in micrograms?\nAnswer: 350838100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from foooooofffoopoffofff?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -9, 5, -5221, -2 in ascending order.\nAnswer: -5221, -9, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83534134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -71*w**3\/3 - 1132*w**2\/3 + 64*w\/3.\nAnswer: -w*(w + 16)*(71*w - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2048 and 17408.\nAnswer: 34816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -380*f**3 + 3*f**2 + 6*f. Determine b(-1).\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15237 - 14452. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**2 + 6*b + 9. Let h = 13684 - 13682. Let t(u) = u**2 + u + 2. Determine h*z(o) - 11*t(o).\nAnswer: -3*o**2 + o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from zppspsssz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m + 24*m - 5*o = -29, -m - 4*o - 2 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 0 - -12 - 19. Let q(w) = w. Suppose -4*j + 3*j + 6 = 0. Let s(c) = c**2 + c - 4. Let x(o) = j*q(o) + s(o). What is x(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 45. Suppose 6 = -r*z + 5*z. Find the second derivative of 13*b**4 - 471*b**3 + 28*b + z*b + 471*b**3 wrt b.\nAnswer: 156*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 7:36 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*m - 3*j + 66, -5*m + 2*j - 731 = -742 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.2 + 1.3. Let v = t + -4. Let g = v - 4.5. Which is the biggest value? (a) g (b) -2\/11 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.5, -1, 0.01, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/843 + 280\/843. Let m(i) be the first derivative of 4 + 0*i**2 + 0*i + y*i**3. Let h(f) = -3*f**2. Give m(h(g)).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9b - 6059?\nAnswer: -5b7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 728 and 12405106.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120.118 + 0.118. Let v = 78 + p. Let x = v + 41.9999977. What is x rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/((-780)\/(-72)))\/(8\/(-10))*(-128)\/(-240)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1045 is divided by 82.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2324, -16, -4.\nAnswer: -2324, -16, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-112)\/49)\/(10\/(-35)). Solve 18 = -u*r - r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1717315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 96 = 6*w. Let c = -94 - -96. Suppose c*m - w = 4. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/7 + (-176)\/8*1\/(-2).\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.5, 7, -2, -0.2, -7 in descending order.\nAnswer: 7, 2, 0.5, -0.2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tewc when four letters picked without replacement from {o: 3, c: 4, w: 1, y: 4, e: 4, t: 1}.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4*(-66)\/2728*31?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - j**2 - j**2)*(-1 + 2 + 5) + (0 + 2 - 3)*(-1 + 1 - 1)*(-2*j + 0 + 0)*(9 + 8 - 5)*(4*j + 3*j - 4*j).\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m - 13*m + 1 + 8*m + 6*m**2 + (-8*m + 0*m - 5*m)*(2*m - 2 + 2) in the form c + j*m + t*m**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 4108\/79 + ((-1)\/(-2))\/(5\/50).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 291*n + 179. Let f be g(34). Let u = -6986 + f. Round u to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14977 take away -1108?\nAnswer: 1108.14977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -24*s**3 - 22*s**2 - 129*s + 7. What is the hundreds digit of q(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - p + 6. Let z be l(0). Let k = z - 7. What is the units digit of 18\/(-3)*-2 - k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -577.\nAnswer: 2885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199167.\nAnswer: 3, 197, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llg when three letters picked without replacement from {g: 5, l: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r**3 + 27 + 430*r**4 - r**2 + r**3 - 2*r**3 - 434*r**4 - 2*r**2 as m*r**4 + k + g*r**2 + x*r**3 + o*r and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*v - 7 = 4*v, 17 = c + 3*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-4)*(-18)\/15. Suppose -5*p = -m*u - 179, -3*p - u - 7 + 120 = 0. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from aaaaahuahua?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d5d (base 16) in base 13?\nAnswer: -5394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2 + 17. Let t(q) = -q**3 - q**2 + q + 2. What is the least common multiple of z and t(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, z: 4}. Give prob of sequence aazz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -758 in -5\/4, 1199, -137?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 - 10*i**3 + 100*i**3.\nAnswer: 95*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-2 - -1)) + (9 - (9 + -12)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (65 + 6 + -15 + -22)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 f when four letters picked without replacement from annnaafnaanfafaaf.\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -30, -4*k + 5*u + 18 = -8*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4232438 (base 12) to base 13.\nAnswer: -278c21c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkookdo. Give prob of picking 2 o, 1 k, and 1 d.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 16*j = -2*g + 562, -4*g + 1164 = 2*j. Calculate the greatest common divisor of g and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357130 at most as big as 3357129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -3\/2, -0.3, 1\/63, -1.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 38, -5 in increasing order.\nAnswer: -5, -2, 0, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 33 = -5*p, -7 = p - i + 4*i. Suppose 5*r + 35 = p*z, 7 = -2*z - 5*r - 0. Is 58*(-3 - (-22)\/z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {k: 11, b: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*b - 73, 5*m = -0*b - 4*b + 133. Calculate the highest common divisor of m and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2584, -20648, -69680, -165166, -322592, -557444, -885208?\nAnswer: -1321370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**3\/5 - 1473*j**2\/10 + 4392*j\/5 - 7519. Factor x(b).\nAnswer: 3*(b - 488)*(b - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 918746381.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -7*v + 9*v. Let d = -43 - v. Does 25 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29764711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -10*y**2 + 5*y - 4. Let n be l(2). What is the tens digit of n*(-2)\/(2\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/35*(-1 - -8). Let j(z) = -z + 12. Let l be j(a). What is the tens digit of 2\/l*-1*-51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 + 48. Calculate the common denominator of 26\/8 + f - 2\/(-440) and 29\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2945.0015614 - -2945. What is y rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20 - -82) + -1 + 3. Suppose -m = 19*q - 18*q. Let u = q + 136. Does 32 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 > -433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4483976?\nAnswer: 2, 7, 80071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**6\/360 + 7*v**5\/90 - 53*v**4\/72 + 20*v**3\/9 - 148*v**2. Factor w(s).\nAnswer: -(s - 8)*(s - 5)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/25)\/z)\/(z**8\/z))\/(z**(-12)*z\/(z**5*z)) assuming z is positive.\nAnswer: z**(227\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2737.3 rounded to the nearest ten?\nAnswer: -2740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 353290 and 1296050?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-176)\/(-6))\/((-44)\/(-33))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4\/7 + 24*l**2\/7 + 32*l\/7 + 12\/7.\nAnswer: -4*(l - 3)*(l + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -23. Let b = 15 + c. What is the remainder when 12 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.5, -2\/11, 28, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39210402 and 66?\nAnswer: 39210402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3002 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 428632256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 28 = 3*v, -3*v + 2*v = 3*b. What is the lowest common multiple of 8 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 + 0.03. Let y = 0.2 + r. Suppose -j = -2*j + 5*p - 26, 5*j + p = 0. What is the nearest to j in 4, 1\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 + -172. Let d = 367 + -247. Let l = d + p. Calculate the remainder when l is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 971 - 974 = 3*p + 4*f, 0 = p + f + 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 + 7 + 6 + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 + 4 - 4 + (2*o**2 - 2*o**2 + o**3)*(-5 + 4 + 3) + 51*o + 12*o**3 - 51*o to x*o**3 + c*o + i*o**2 + p and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 - 750501164*d\/5 - 70406499645669362\/5.\nAnswer: -2*(d + 187625291)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -1\/16*r**4 + 1\/8*r**2 - 2 - 1\/4*r + 1\/12*r**3. Determine l so that x(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23343.6 * 1545\nAnswer: -36065862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3454 divided by -21483?\nAnswer: 314\/1953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 125762*n - 142334?\nAnswer: 125762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -8. Let i = 3 + 0. Let r = -19 + 22. Solve 0 = 2*o + u*o - d - 1, r*d + 3 = i*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**3\/3 - 264*u**2 - 11*u - 15. Let t(m) = m**2. Give t(c(b)).\nAnswer: 4*b**2 - 2112*b + 278784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -1*sqrt(275))**2*5*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, 3, -2?\n\"Answer: -5*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n. Let a(h) = 36*h**2 - 34*h + 10. Let c be a(34). Let k(w) = -40470 + c - 36*w. Determine m(k(r)).\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by (1 - (-374)\/(-306)) + (-209)\/(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -1)*-6.\nAnswer: -24*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -58*n - 312. Let l be r(-6). What is the highest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 3*t**2 + 5*t**2)*(32*t**3 - 48*t**3 + 1 + 45*t**3).\nAnswer: 174*t**5 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/18*3\/36*8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q - 2. Let c be k(-4). Suppose 2*f + 16 = c*f. Suppose f*n - 6 = 3*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24115041.\nAnswer: 3, 2679449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 4833?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 12.3657786ms?\nAnswer: 0.0000000204460625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*((-25)\/(-10))\/5*(-288)\/84?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(50) - 5*sqrt(50) - sqrt(50)) + (sqrt(500)*4)\/sqrt(10))*-5)**2.\nAnswer: 45000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 4, 1, 3.\nAnswer: 1, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224246 is divided by 384?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/19581090 and 27\/113245.\nAnswer: 215391990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**4\/12 + 8*x**3\/3 + 6*x**2. Let a(o) = -22*o + 69*o - 25*o - 25*o. What is a(n(b))?\nAnswer: -6*b - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100202 - -2110212?\nAnswer: 2211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022121021 (base 3) to base 2.\nAnswer: -1011001001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*w + 80. Let a be 2\/3*6\/w. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*d + 5 = -0*j, -2*j = 3*d - 18. Let u be ((-144)\/(-28))\/(-6)*-14. Solve 0 = j*c + u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36552456)\/(-56) + (125\/35 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1578 + 1602 = -3*t - 5*k, -t - 2*k = 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 3:57 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10070, -10324, -10554, -10748, -10894, -10980, -10994, -10924?\n\"Answer: 2*p**3 - 268*p - 9804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -117273 and 724532.\nAnswer: 607259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 37891 = -3*h, 144*h - 146*h + 4*d + 25258 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.024 + -36.024. Let p = -37 - a. What is the second biggest value in 0, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 13 + 19696*o**2 - 19695*o**2 + 8*o - 7*o. What is w(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594792\/572 + (-6)\/(-39) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {s: 10, t: 1, b: 2, d: 1, k: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -240 + 385. Suppose -2*f = 3*f - l. What are the prime factors of f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(1\/6)*f))\/f**(-15))\/(f**8*f\/f**(-18\/7)) assuming f is positive.\nAnswer: f**(137\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2*v**2 - 1060*v + 1060*v as t*v + w + o*v**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k + 49. Let z be q(0). Let j = -76 + z. Let v be 114\/j - 24\/(-6). Which is the second smallest value? (a) 9 (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 9*m**2 - 7*m - 9. Let g be b(8). Let p = 4 - g. Suppose 5*z - 4*u + 0*u = 2365, 4*z - 1901 = p*u. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29541436, 29541450, 29541490, 29541568, 29541696?\nAnswer: 29541886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 0*v - v**3)*(0*v + v - 2*v)*(-7 + 46 + 29) to the form r*v + f*v**3 + t*v**2 + q + x*v**4 and give x.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 1\/18, -4\/7, -3, -1.1?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11272647*-7.\nAnswer: -78908529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 r when four letters picked without replacement from {b: 16, r: 4}.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001155 rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - d = -10, -d + 5 + 3 = 3*i. Suppose k + 10 = 3*k - 4*s, -i*k = 5*s + 8. Calculate the smallest common multiple of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -425476\/11 or -38680?\nAnswer: -425476\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -272*d - 365*d - 1537*d - 408*d - 2208*d as q*d + f and give q.\nAnswer: -4790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-2) + (-32)\/(-8))\/(60\/(-348)). Let f = 1 - -1. Let r be f + (2 - 1\/(-1)). Which is smaller: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*8092.1091\nAnswer: 24276.3273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1598290 and -111\/680.\nAnswer: 108683720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87324336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24054256.\nAnswer: 2, 421, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198059.\nAnswer: 31, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035947 rounded to three decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64656460 divided by -11.\nAnswer: 5877860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3\/4 (b) 2\/15 (c) 0.4 (d) -0.276\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101100101 - -1111011?\nAnswer: -101011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98168 by 67.\nAnswer: 98168\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/1684133 and -49\/110.\nAnswer: 16841330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6.1+-6119468880\nAnswer: -6119468873.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114*q**3 - 2*q**2 - 57.\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/((-18)\/4) + 456\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**6\/9 + 16*o**5\/15 + 5*o**4\/2 - 16*o**3\/9 - 16*o**2\/3 + 238. Suppose y(h) = 0. What is h?\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(20\/(-6) - -4). Let w be (18\/j)\/(12\/112). Suppose b - x - w = 11, 5*b - 75 = x. What is the smallest common multiple of 8 and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1 - 34*q - 4*q + 3. Suppose -4*z + 15*z = 0. Let d(f) = 8*f + 0*f**2 - f**2 - 8*f + z*f. Calculate g(d(b)).\nAnswer: 38*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 47. Let p = d - -48. Calculate the smallest common multiple of p and 23.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -27 - 1. Let z be (6*2\/(-7))\/(5\/140). Let x be z\/p*35\/5. Calculate the highest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13611.\nAnswer: 3, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (666\/8 - -2)*4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1540 and 1344?\nAnswer: 73920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 9 = -0. Let o = -5\/6 + 1\/3. Let r be 2\/(-8) + (-6)\/40. Which is the nearest to o? (a) -4 (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18d + 1e2?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03489 - -69.96511. What is the fourth smallest value in 2, u, 3, 2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 93*p - 57 = -22*w + 96*p, 3*w + 5*p + 161 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109 - -112. Suppose -5*h - g + 10 = s, 2*h + g = 1. Suppose -3*q + 2 = -4*t, -t = -5*q - 1 + 10. Solve -t = -p + k + 2, k = h*p - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 1 (c) 2\/7 (d) 60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41.96 + -0.04. Which is smaller: 2\/13 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11212*x - 23273*x + 1 + 10579*x)*(2 - 1 + 1 + (-3 + 2 + 2)*(-2 + 3 - 3) + 4 + 3 - 5) in the form p*x + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - o**2 - 1)*(-13*o + 16 - 16) - 186*o + 186*o + o**3 as s*o + m + d*o**3 + c*o**2 and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -15 - 18. Let r(v) = -15*v**2 - 3*v - 1. Let t be r(1). Let x = a - t. Solve 2*c = -3*g - 0*g - 1, 4*g = 4*c - x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (5 + (12 - (-6 + (29 - 6)))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*t - 16, 3*v = -v + 5*t - 19. List the prime factors of -1 + 1*(28 - v).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8216 - 8040. Solve -11*c - u = -132 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 21, 34, 45, 54, 61, 66?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 > -6118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**5*v\/v**2*(((v\/v**0)\/v)\/v)\/(v**(-4\/5)\/v))\/(v**0*v**(-4)\/v)**(-3) assuming v is positive.\nAnswer: v**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 5*s**2 + 6*s - 44. Let i be u(8). Let f = i + -196. Solve 7*p - 2*p - 25 = f, 5*g - p = 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*z - 19341848 + 5965160, 5*z + 3*f + 33441712 = 0. Let s = z - -9818340. Round s to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1561\/12, -2\/21, 6 in decreasing order.\nAnswer: 6, -2\/21, -0.2, -1561\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 357953*u**3 + 189198*u**2?\nAnswer: 2147718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -51*y**3 + 6*y**2 - 13*y - 37. What is the thousands digit of a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 37\/9, 1\/7?\nAnswer: 37\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/8)\/u*u)\/u)\/(u\/u**(-1\/9)))\/(((u\/u**(-1\/11)*u)\/u*u)\/(u**(1\/4)*u*u))*(u**(-6)*u**10)**(5\/6) assuming u is positive.\nAnswer: u**(1193\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 + -0.69. Let h = q + 0.5. Let z = h - -0.4. What is the smallest value in 4, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 25*c**2 - 2*c - 400. Calculate the remainder when k(-26) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 776 and 328713988.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37, 89, 141, 193, 245, 297?\n\"Answer: 52*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(75) + (sqrt(75) + -2*(3 + sqrt(75)) - sqrt(75)))*4 - (-1 + -1 + sqrt(75) + sqrt(75) - ((sqrt(75) - -2*sqrt(75)) + sqrt(75) + 3)))**2*-6.\nAnswer: -3965 - 2280*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1682 and 71.36.\nAnswer: -120027.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b34a03 - -49?\nAnswer: 1b34a4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.5, 1580, -2\/121, 0.1, -3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 38.77601 centimeters?\nAnswer: 387.7601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -292129529 times -3\nAnswer: 876388587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by 1348\nAnswer: -43\/1348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 8. Differentiate -u + x**2 + 4 + 0*x**2 with respect to x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*o - 136*o + 11 = -v, 6 = -5*o + 4*v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19, 0.1, -1\/3, -14684, -1, -0.11, 10?\nAnswer: -14684","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-7)*s)\/s*s\/(s\/(s\/s**(-10)))*(s\/(s**41*s)*s)**(-19) assuming s is positive.\nAnswer: s**766","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 202 + -201.999999356. What is y rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2))**(1\/51)\/(t**(-8)*t**(-2)\/t) assuming t is positive.\nAnswer: t**(559\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10*i + 5. Let f be v(-1). Let n(s) = 2*s**3 + 8*s**2 + s - 6. Let a(m) = m**3 + 4*m**2 - 3. Let j(g) = f*a(g) + 2*n(g). What is j(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(117) + -1 + -5 + sqrt(117) + sqrt(117))**2.\nAnswer: -3267 + 324*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765065.9 months in centuries?\nAnswer: 1470.88825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -1) + -2 - (5 - -11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*c - 9. Let t = -1 + 3. Calculate the lowest common multiple of t and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s + 28 = -6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b\/(b**(-2)*b*b))**43)**(-7\/4)*(b\/(b\/b**(-10))*b**(-3))**(3\/7) assuming b is positive.\nAnswer: b**(-2146\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 45 + 5 = 0. Let n = j - -3. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 11*d**3 - 14*d**2 + 10*d - 8. Is l(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g - 95 = 32*g. Sort g, -2, -4 in increasing order.\nAnswer: -4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3976, 3984, 3992?\nAnswer: 4000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-12)*(11596\/(-49283))\/(6\/(-544))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46292318 and 41258.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 66*v**5\/5 - 23*v + 19. What is the derivative of m(k) wrt k?\nAnswer: 264*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/9)*f)\/f**(3\/17)*f*f\/(f**(2\/63)\/f)*f**(-6) assuming f is positive.\nAnswer: f**(-2603\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8381*j**2 + 13*j - 30. Is 51 a factor of a(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13127 - 13112. Calculate the greatest common divisor of z and 6735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-13)\/(-1))\/(27\/(-57)). Let y = b - -83\/3. Is y < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*h**3 + 7*h**3 + 11*h**3 + 8*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16*977552.\nAnswer: 156408.32","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -136*w**3 + 8*w**2 + 7*w + 16. Let d(c) = 46*c**3 - 3*c**2 - 3*c - 6. What is -8*d(a) - 3*f(a)?\nAnswer: 40*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = f + 2*o, 5*f - o + 5*o - 41 = 0. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-889717930\nAnswer: -889717930.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/85*(-425)\/51?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1005 at most as big as -18687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*r + 7 = 0, 3*k - 7*r + 25 = -2*r. Let i be (-2)\/(-6) - (k + 10). Let q be 4\/102*(2 + 1). What is the closest to i in 3, q, 1\/10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**3 - 3*k**2. Let g(d) = 6*d**3 + 5*d**2. Let f = 66 - 110. Let x = f + 47. Calculate x*g(z) + 5*r(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -35779.76892 to zero dps.\nAnswer: -35780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1499734 and 1953.\nAnswer: 1501687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 447 + -442. Solve 4*t + 4*i = -i - 6, 2 = -3*t - o*i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 7. Let h = 38 + -33. What is b(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1538*h = -1095 - 5057 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 3 - 7)*(-672 + 670 - 49*l - 92*l) to x + z*l and give z.\nAnswer: 1974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45804 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 + -89. Let f = s + -24. Suppose 5*v + 7*c = 8*c + 9, -1 = -3*v + 5*c. Solve -v*q - q = -f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**5\/11 - 52*v**4\/11 + 112*v**3\/11 - 4*v**2\/11 - 10*v + 56\/11 = 0.\nAnswer: -28, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-20)*6\/3. Let g = 0.2128 - 0.1128. Let s = -0.7 + 0.2. What is the closest to g in s, a, -3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12940, -13398, -13854, -14308, -14760?\n\"Answer: i**2 - 461*i - 12480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uurrurrururrrurrrru. Give prob of picking 3 r.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 2 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5860314 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: List the prime factors of 95534758.\nAnswer: 2, 11, 29, 137, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3759 = -26*h + 1237. Let c = 101 + h. Let i(g) = -g**2 + 9*g + 8. What is the lowest common multiple of i(6) and c?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y + 3 + 0*y + 0*y. Suppose -24*j - 2*c = -29*j + 24, 4*j + 5*c = 6. What is m(j)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 9*m - 36, 2*m - 4*j + 107 = 105. Let p = -5.4 - -6. Put p, m, 0.4 in descending order.\nAnswer: m, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 12*m**2 + 6*m + 12. Let x = -64 + 77. What is the hundreds digit of u(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**4\/8 - 159*y**3\/8 + 1821*y**2\/8 - 1665*y\/8 = 0.\nAnswer: 0, 1, 15, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -24. Suppose 0 = 3*a + 2*a - s, -2*a - 1846 = -5*r. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 4\/7*x + 2\/21*x**3 + 4 - 3\/7*x**2. Factor j(z).\nAnswer: 2*(z - 2)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbx when three letters picked without replacement from xxbbbbbbbb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60426829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230 + 10212321?\nAnswer: 10213101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 76?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-98)\/(-105)*3)\/((80\/(-140))\/(100\/14))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, z: 5, i: 4}. What is prob of sequence hhh?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Suppose 17 = -4*v + v - 4*n, -s*v + 27 = -5*n. Let f = 21 - v. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/11614 and -31\/18.\nAnswer: 104526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.06 and -46.\nAnswer: -46.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00239 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -590479 greater than or equal to -590477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21201520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**2 - i**2 - i**2 + (10 + 83*i - 10)*(1 + 4 - 2)*(i + 3*i - 2*i) to b*i + u + q*i**2 and give q.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*i + 87 = -0*i, -5*u + 230 = 5*i. Let q be (-72)\/(-30)*u\/2. Let d be (8\/4)\/2*81. What is the highest common divisor of q and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/40)\/((-16786)\/61061 + 6*(-7)\/1281)?\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 13, w: 3, c: 3}. Give prob of picking 2 c, 1 w, and 1 r.\nAnswer: 39\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 107. Let y = n + -87. What is the derivative of -22*r**4 + 28 - 5672*r**3 - y*r**4 + 5672*r**3 wrt r?\nAnswer: -136*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 4*x + 278 = x, 55*x - 60*x = v + 3*v + 394 for v.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -5. Let v(l) = -9*l - 13. Let y(s) = 3*s**2 + 6*s + 2. Let k be y(-3). Let o(u) = -5*u - 7. Calculate k*o(m) + p*v(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3 + 3)*(-m + 3*m - 4*m) + (-1 - 2 + 2)*(-3 + 4 + 0)*(1933 + 206*m**2 - 1933).\nAnswer: -210*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1131378 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2042 - 2032. Sort 2, 0, 492, m in decreasing order.\nAnswer: 492, m, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 290.\nAnswer: -2, 2, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -17*a**3\/3 + 3*a. Is 15 a factor of u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11155 + -11155. Let q(o) be the third derivative of u + 0*o - 1\/60*o**5 - 5\/6*o**3 - 18*o**2 + 1\/4*o**4. Factor q(g).\nAnswer: -(g - 5)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 1496 (c) -7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 6*w**2 + w + 5. Let m be g(-6). Let o be (-330)\/(-27) + 1\/3. Let p = o - 37\/3. Which is greater: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/((-20)\/12) + 13. Suppose 5 + k = 5*a. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -67659510?\nAnswer: -67659507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4392*p + 243. Is 59 a factor of f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 75*j + 170.\nAnswer: -5*(j - 2)*(j + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*s + 21 = 0. Let z = 8 - s. What is the third derivative of -z*f**2 + 2*f**5 + 6*f**2 - 15*f**2 wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, c: 4, a: 3, h: 2, x: 2}. Give prob of sequence aqxc.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5 = 4*n, 0 = -3*m - 5*n + 2*n. What is the third derivative of 92*h**2 + m*h**5 + 83*h**5 - 55*h**2 - 2*h wrt h?\nAnswer: 5280*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -6 - -9 - (-8 + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 97 = 10. Let k = -17 + l. Find the third derivative of -4*w**3 - 135*w + 135*w - w**3 + k*w**2 wrt w.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*o + 132 = -64*o. Solve 2*v + o - 24 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*d**2*x**2 - 5*d**2*x - 27*d*x - 111*x**2 + 2*x wrt x?\nAnswer: 164*d**2 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 >= -196\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + z = -493, -c - z + 6*z = -109. Suppose -5*b + 4*d - c = -427, 4*d - 12 = 0. Calculate the highest common divisor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -259.\nAnswer: 13\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2. Let i(a) = -a**2 + a - 1. Let d(x) be the first derivative of x**4\/2 + 2*x**3\/3 + x**2\/2 - 3*x - 4675. Give q*d(f) + i(f).\nAnswer: -2*f**3 - 3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + (sqrt(208) - (sqrt(208) - (sqrt(208) + sqrt(208) + -1 + -5)))**2 + (-1*sqrt(208)*-1)**2.\nAnswer: -92*sqrt(13) + 1076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -983168, -983149, -983110, -983045, -982948, -982813, -982634?\nAnswer: -982405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -4*r + 5*k, -4*r + 2*k - 13 = -139. Let b = 50 - r. Suppose 14*w - 9*w = b. Solve -u + 3 = -w*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 33*m = 29*m - 36305, 0 = i + 5*m - 7232. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 992528.2 micrograms to tonnes.\nAnswer: 0.0000009925282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5282279.\nAnswer: 5282279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: bd (base 15) to base 2\nAnswer: 10110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**4 - k**3 + 2*k**2. Let r(i) = 24*i**3 - 12*i**2 - 48*i. Let m(n) = -r(n) + 3*v(n). Factor m(p).\nAnswer: 3*p*(p - 8)*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 11*q + 10. Let s(f) = -11*f + 14*f + 1 + 4*f**2 - f**3 - 2*f**2. What are the prime factors of s(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -171, -278, -405, -558, -743, -966, -1233?\nAnswer: -1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**2 + 4*z - 3. Calculate y(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1096637304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*n**2 + 24*n**2 - 81*n**2)*(-308*n**2 - 393*n**2 + 603*n**2).\nAnswer: 3234*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1490830 rounded to the nearest 10000?\nAnswer: -1490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (7 - 6 - -12) - 2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2232403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 2 + 0)*(-3 + 3 + 3) + (1 - 1 + 2)*(-5 + 6 + 10))*(3*s**5 - 27*s**2 + 27*s**2).\nAnswer: 12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19\/6 (b) -65\/6 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-83*d**4 + 6*d**2 - 6*d**2)*((6 - 1 - 3)*(-3 + 1 + 4) - 3 - 4 + 5) to the form b*d**3 + k + n*d**2 + c*d + u*d**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, z: 2, q: 5, u: 1, a: 5, m: 5}. What is prob of sequence muza?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 5*t**2 + 3*t + 1. Let b be a(-5). Let r = 235406 + -235171. Is r equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 164, -4, 8, 0.2, 7 in descending order.\nAnswer: 164, 8, 7, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1969*n - 6 = 1971*n. Let w(p) = 3*p**2 + 14*p + 20. Give w(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/10*(-12)\/(-48). What is the nearest to -1 in 26, -0.5, -0.4, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 20*k - 19. Calculate n(-23).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 965771 and -0.3.\nAnswer: -289731.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 645 and 411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369*l + 374*l - 761*l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2*((-96)\/8)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 + 538 - 538.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 21. Suppose -5*c = -a + y, -2*a + 4*a - 32 = -4*c. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**4 - 8 + 3*z**3 - 5*z**3 - 3*z**2 + 7 - z to c*z**4 + t*z + y*z**3 + n*z**2 + s and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 3*g + 1136, 44*g + 1134 = 5*x + 46*g. List the prime factors of x.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 46536 = -7*u. Let x = u + -1321. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296973473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -347494\/31 + 36634957\/3255. Let b = -227\/5 + k. Let n = -2 + 0. What is the third smallest value in n, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14709?\nAnswer: 3, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5959.869 - -15.531. Round s to the nearest one hundred.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2*x = 21, -5*q - x = -3*q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11\/22)\/(2\/(-24)). List the prime factors of (-1)\/f - 595\/(-30).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/j*(j\/(j**5\/j))\/j)\/(j**(-1)*j*((((j*j**(2\/7))\/j*j)\/j)\/j)\/j)*(j**0*j\/((((j\/j**(-3))\/j)\/j)\/j))\/(j**(1\/3)\/(j*j**(-4))) assuming j is positive.\nAnswer: j**(-139\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**21)**(15\/4)*((i\/i**12)\/i)**(-2\/29) assuming i is positive.\nAnswer: i**(-8169\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -14. Which is the nearest to z? (a) -4 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91788 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 2*i. Let q(f) = 3132*f**2 - 3135*f**2 + 25 - 25 + 7*f. Calculate 14*d(c) + 4*q(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 = 3*k. Let u = k + 8. Solve -p - u*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**7\/315 + u**4\/12 - 19*u**3\/6 - 14*u + 3. Let f(n) be the third derivative of k(n). Let h(p) = 7*p. Determine f(h(c)).\nAnswer: 392*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-6))\/(14\/(-84))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 + 4*t**3 - 2*t**3 - 5*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 0.3 (b) -5 (c) -1\/2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/9866 less than 1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2341 + (-8 - (-19 + 6)) a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2000 = 233*j + 155*j - 7010 - 31462 for j.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 19*g**2 - 135*g + 18. What is the smallest common multiple of 358 and c(7)?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9358143?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)\/(-1*-4*sqrt(12) - sqrt(12)))\/((sqrt(972) + -2*sqrt(972))*-3))**2.\nAnswer: 5\/6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.8, -0.5, -0.4, -1, -0.09999?\nAnswer: -0.09999","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2907869 times -0.016?\nAnswer: 46525.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 303\/10 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 0.4, 12, 2, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n - 10. Let i be w(10). Let h = 76 - i. Let z(k) = 7*k**2 - 2*k. Let j(t) = -t**2. Calculate h*j(u) + z(u).\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013064099986 rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 651095*p**2 - 651095*p**2 - 4*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -0.2, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.05, -1274.\nAnswer: -1274, -3, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11*z**2 + 2*z - 2. Suppose 5*s + 26 = -8*s. Let q be ((-6)\/s)\/((-7 - -6)\/1). Let g(n) = 5*n**2 - n + 1. What is q*t(c) - 7*g(c)?\nAnswer: -2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15583726 is divided by 145?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-20))\/((-8)\/((-800)\/30)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 2*t + 4. Let i be f(3). Suppose q - i = -0. What is the nearest to q in -1\/4, -3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7\/3))**(-3\/16))**(-4\/25) assuming y is positive.\nAnswer: y**(-7\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*h = -2*l - 30, -2*h = l + 13. Let r be (-2)\/l + (-19)\/(-7). Differentiate -5*b**r - 2*b**2 + 2*b**3 + 2*b**2 - 3 wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-6)*15474\/(-2579)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 158923882*k**3 - 10076060 wrt k.\nAnswer: 476771646*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 33.3. What is the biggest value in -1\/7, 3\/4, p?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6*(5 - 2). Suppose 7*l + 10 = -18. Let h be -2 + -1*(-1 - l). Sort 1, h, f.\nAnswer: h, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185 = -2*b - 5*a + 200, -2*a = -b + 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(8\/(-6)) - 1. Suppose -3*f - 2 = -2*m, 6 = 3*m - f - 2*f. Let d(g) = -2 + m - r + g. Let h(w) = -3*w. Determine h(d(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, b: 3, i: 3, u: 1, f: 2}. What is prob of sequence urb?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - a)*(2*a - 3*a - a) + (-a + 4*a - a)*(4*a + 0*a - 3*a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 0*w**2 + 0 + 2\/3*w**3 + 8*w + 17\/15*w**6 + 11\/6*w**4 + 5\/21*w**7 + 21\/10*w**5. Factor p(b).\nAnswer: 2*b*(b + 1)**3*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15, 3, 1, -1 in decreasing order.\nAnswer: 15, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 140 (b) 22 (c) 5 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.12245 - -0.122444167. Round c to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 + 40*w**5 + 8*w - 7*w - 2*w**2 - 7*w + 2*w wrt w.\nAnswer: 800*w**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 4*h + 11, 0 = h + 51*d - 53*d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**3\/3 + 4*k**2 + k - 1. Suppose -54 + 26 = -7*v. Suppose -v*f = -7*f - 21. Give a(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -103*n + 102*n - 3*t, 0 = 45*t + 135 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (13 + 11 - -2) - -1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.1 and 8255.\nAnswer: 8252.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5207930 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 43401 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 4*g - d + 4, -5*d = 0. Suppose 2*f + 2*h + 20 = 0, 2*f + 0*f = 4*h + 10. Put 3, g, f in decreasing order.\nAnswer: 3, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 12*r**2 - 3*r - 1. Is s(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u = -65*u + 178 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 995. Suppose 5*k + 0*k = -15. Let z be -1 + 1 + (-3 - k). Is g(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 733 and 19187741.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + j - 1)*(-4*j + 4*j + j) + 12*j - 2*j**2 - 12*j)*(-31 + 31 + 10*j) to g*j**2 + f*j + s*j**3 + o and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/57, 3\/8, 3, -9 in decreasing order.\nAnswer: 3, 3\/8, -2\/57, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 1.2258347.\nAnswer: -1.2258347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 7. Let k = d + 6. Solve k*p**4 + 3*p**5 - 9*p**3 + 9*p**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -u + 3*i + 2, -232*i = 39*u - 237*i + 287 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.099187 to three dps.\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-10)*7\/(-14)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -362, -361, -360, -359, -358?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - s - 1. Let j(i) be the first derivative of -13*i**4 + 39*i**2\/2 + 39*i + 1941. Calculate -j(m) - 39*o(m).\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + -12 + 7 + -4 + (-10 - -9).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*m + 3*m, 0 = x + 4*m + 16. What is the remainder when (-390)\/12*x\/5 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 12\/161?\nAnswer: 12\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91715925 and 28816?\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28714 + -28714.5. Let o = -23.2 + 3.2. What is the closest to 1\/4 in -0.3, p, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5247.75 + -5247.5499976. Let h = o + -0.2. Round h to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 105 and -384.4.\nAnswer: -40362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6.6782, -1\/5, -5, 0.14 in decreasing order.\nAnswer: 6.6782, 0.14, 0, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 236009 (base 14) to base 3\nAnswer: 2021100012101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2425707.\nAnswer: 3, 29947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -215 - -214.9. Is c bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.027 * -83411\nAnswer: -1170006.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7472, -15542, -23612, -31682, -39752, -47822?\n\"Answer: -8070*x + 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60040171 a multiple of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + 82 + (4 - -9 - 35)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*s - 28, 0*s - 3*s + 27 = 5*i. Suppose z - i*g - 4 = 0, 2*g - 20 = 4*z - 9*z. Suppose z*u + 56 - 136 = 0. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -9, 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*l - 8. Suppose -l*d = -2*i - 14 - 0, -d = 2*i - 11. Suppose 0*y = y - 33. Calculate the greatest common divisor of y and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 85*j - 2679. What is q(21)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 999260*c**2 + 16 + 999263*c**2 + 20.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -192.1 - -183. Let f = -216 - -232.9. Let v = f + j. Round v to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 8*b + 11. Let i = -2 + 11. Is n(i) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 12*m**3 - 10*m**2 - 10*m - 10. Let t(b) = b**2 - 21*b + 23. Let v be t(20). Let k(a) = 4*a**3 - 3*a**2 - 3*a - 3. Determine v*w(s) - 10*k(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**3 + 68137*s**2 + 68136*s**2 - 136273*s**2.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 22 - 14 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)\/(sqrt(44) - sqrt(11)))\/(-2*sqrt(72) - sqrt(72))*6)**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 40 = 8*s. Solve -4*x - h - 1 = 0, s = x - h + 3*h + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003868 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-84)\/(-18))\/(2\/3). Let u(n) = 3*n - 6. Let h be u(p). Suppose -3*t = d, -4*d + 2*t + h = -t. Which is the nearest to 0.1? (a) d (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 4\/3, 2\/3, 2\/15, 2\/9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, 11589, 6 in descending order.\nAnswer: 11589, 6, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37\/5 of a century?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1579, 1602, 1659, 1762, 1923, 2154, 2467, 2874?\n\"Answer: 2*u**3 + 5*u**2 - 6*u + 1578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8*c + 7. Let a be h(-6). Let f be 3 + 2*a\/28. Are 0 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 4. Let m be 0\/((-9)\/(a\/(-8))). Suppose 3*g = 4*q + 334, 4*q = -3*g - m*g + 302. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4472123 and 1411?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2\/3, 301 in descending order.\nAnswer: 301, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 580571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 538\/5 + -5 + (-108)\/(-20). Let y = 62 - f. Let v be -20*2 - (0 + 4). Is v greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -400? (a) 2\/13 (b) 3 (c) -34 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 170 - 172. Let q(l) = 4*l**2 + 2*l + 1. Let k be q(-1). Sort -5, d, k.\nAnswer: -5, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**6\/6 + 26*l**5\/5 + 114*l**2 + 17. What is the second derivative of x(v) wrt v?\nAnswer: -20*v**3 + 312*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 231? (a) -27 (b) -75 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441)\/sqrt(7) - sqrt(63))*3 + sqrt(63))\/sqrt(9).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (340\/(-25))\/((-6)\/15). Calculate the highest common factor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36872\/48 + (-10)\/60?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 q when three letters picked without replacement from {q: 2, c: 2, s: 2, y: 1, u: 1, z: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -10643039.\nAnswer: -3192911.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 2*o**2 - o - 33. Let p be i(0). Let y = -39 - p. Let b(h) be the second derivative of -h**3\/6 - h**2 - 4*h. Calculate b(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7396 and 4128?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p = -17*p + 5. Suppose -4 = -2*t + 2. Sort p, t, 1.\nAnswer: 1, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81615.27 millilitres in litres?\nAnswer: 81.61527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-29))**23*(n*(n*n\/n**(1\/2))\/n*n**(-4\/7))\/(n*n\/(((n**(-1)*n)\/n)\/n))**(-2\/37) assuming n is positive.\nAnswer: n**(593\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 17*u - 16*u**2 - 13*u**2 - 5*u + 2*u**2 in the form s + o*u**2 + b*u and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 z when three letters picked without replacement from {f: 2, z: 10, d: 1, u: 2, r: 2, s: 1}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 39064716.64 to the nearest 100000.\nAnswer: 39100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4856 and 28529?\nAnswer: 228232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-572241)\/6431 - (-33)\/(68343\/(-38))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**4\/12 - 3*y**2\/2 + 3*y + 4. Let m(u) be the first derivative of q(u). Differentiate m(h) with respect to h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232\/13 >= 58231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -49*x - 15. Let t be u(2). Let d = 172 + t. Calculate the remainder when d is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 6:01 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 1. Let l be r(3). Let n = -21.934 + -0.066. Sort l, -0.4, n in descending order.\nAnswer: l, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113.382 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**5\/20 + x**4\/4 - x**3\/6 + 2374*x - 1. Let l(z) = -2*z**2 + 4*z**2 - 3*z**2. What is 3*l(c) + n(c)?\nAnswer: -c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 6*d + 5. Let j be u(-5). Let s = -8 - j. Suppose -5*q + l = 20, q + l = -l + s. Let y(w) = -w**2 - 2*w. What is y(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + -26 + 2849 + -2826?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 872*a**2 + 83778*a - 82908.\nAnswer: 2*(a - 294)*(a - 141)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 25. Let d(z) = -2*z + 74. What is 2*d(q) - 7*s(q)?\nAnswer: -4*q - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 308 in -0.2, 11, 1, 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -42, -6, -17 in decreasing order.\nAnswer: 0, -6, -17, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 8011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -27306047 at least -27306050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37216.31 micrograms to nanograms.\nAnswer: 37216310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -110345 (base 7) to base 16\nAnswer: -4bbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 153 + 33. Suppose 3*r - 20 = -2*b, -3*b - 2*r = b - g. Suppose -b*f + 40 = -0*f. What is the remainder when 29 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/8 and -27\/3343023032.\nAnswer: 3343023032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 43 + 8*j)*(-2 + 1 + 2) + 0 + 0 - j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - g - 2)*(755 - 755 + 1496*g)*(-g - g + 0*g).\nAnswer: 2992*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 2, -660.\nAnswer: -660, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6952 - 3753. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -10*y**3 + 3*y + 2. Let q(m) = -270*m**3 + 80*m + 55. Let p(t) = -55*k(t) + 2*q(t). What is the second derivative of p(z) wrt z?\nAnswer: 60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10431 - 9866. Which is smaller: 7 or l?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179704, 179669, 179622, 179557, 179468?\nAnswer: 179349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0297 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29419549 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: Find the first derivative of -2*i**2 + 102293*i - 1275610.\nAnswer: -4*i + 102293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/122226 and -22\/1001313?\nAnswer: 26034138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + t. Let l(f) = -4*f**4 + 8*f**2 + 9*f + 2. Let h(n) = 6*j(n) - l(n). What is the second derivative of h(m) wrt m?\nAnswer: 48*m**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/8)\/((-5)\/(-40)). Suppose 0 = -2*n - 0*n + x. Let i be n*(0 + 3 - 2). Solve -2*t - 5 = i*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -98*q**5 - 3*q**4 + 104*q**2 - 33*q - 6. Let d(w) = w**5 + w**4 - 2*w**3 - w + 2. Let i(p) = 3*d(p) + k(p). Find the third derivative of i(t) wrt t.\nAnswer: -5700*t**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjcccgchhc. What is prob of sequence jcgh?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 4*p**2 - 2*p - 2. Let l be q(-4). Let m(i) = -12*i - 4. Let k(n) = 73*n + 19. Let d(o) = k(o) + 6*m(o). What is d(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 2\/13 (c) -0.1 (d) 1 (e) 2\/9 (f) 83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 807914.\nAnswer: 2, 403957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8563 is divided by 4129?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(441) + (sqrt(441) - 3*sqrt(441))))\/((sqrt(288)*-3 + sqrt(288))*-5)*-4.\nAnswer: sqrt(5)\/210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*n - 38*n + 4 - 9*n**2 wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2416 and 335507504.\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/4)\/(1\/(-2)). Suppose 0 = -3*l - 4*k - 19, -2*l + 156*k - 157*k - 11 = 0. Sort l, s, 3.\nAnswer: l, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4386 at least as big as -311310\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 9?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92455817 and 766?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*k - 4, 0 = -4*m + 4*k - 3188. Let w = m - -1177. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*r = 55*r - 10. Suppose -4*b - 1 = 3*n, 2*n = -r*b + 1 - 11. Solve 5*w - 5 - n = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20203 and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 15259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 41*n + 1262. Let z be r(-54). Solve -564*s = -z*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75236 + 75235.9. Let m = 0.05 + 0.2. What is the closest to 1 in i, -1, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -682950.19 - -309378\nAnswer: -373572.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2)*4 - 2. Suppose f = 2*n - 4*n + 22. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -20, c = 2*v - 0 - 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*j = -1612 + 4988 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + 5 + (2*sqrt(108) - sqrt(108)))*-6 + -5)**2.\nAnswer: 5040*sqrt(3) + 16777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.00771 + 0.0086902. Round p to five decimal places.\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55481937 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2333215 + 2?\nAnswer: 2333221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*b = -71*b - 2196 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -683 + 675. Sort -10, s, -1 in increasing order.\nAnswer: -10, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15466875 and 9375.\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 6*v**2 + 4*v + 9. Suppose 0 = 2*k + 17 - 27. Let p be t(k). Is ((-47)\/3)\/(p\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 173512\/(-80) + (114\/60 - 2). Let d = o - -3632. What are the prime factors of d?\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 12 = 4*v, -3*d + 11 = 3*v - d. Let r = -5 - -8. Which is the third smallest value? (a) v (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10804*j + 32322. Calculate m(-3).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 - 8*h + 2004. Let i(z) = 4*z**2 + 9*z - 2019. Determine 5*i(k) + 6*m(k).\nAnswer: 2*k**2 - 3*k + 1929","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:31 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 11a067?\nAnswer: 11a065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.2, 2\/7, 0.3, -213\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -1)\/(-3 - 20\/(-8)). Let p(w) = -313*w + 31. Is p(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13343 - 13344. Sort 1\/6, z, 8439 in descending order.\nAnswer: 8439, 1\/6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 0*o = o + 10, 252 = -a + 4*a + 28*o - 4*o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 0 + 0*d + 39\/2*d**3 - 268*d**2 + 8\/3*d**4. Differentiate o(j) with respect to j.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*z - 164168 + 30086. What are the prime factors of z?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -3*k**5\/40 - 7*k**4\/2 + 29*k**3\/4 + 451*k. Suppose o(v) = 0. Calculate v.\nAnswer: -29, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 97, 220, 325, 412, 481, 532?\n\"Answer: -9*f**2 + 150*f - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 7:21 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*q = -9 - 6, 0 = -4*d - 4*q - 20. Let x = 17\/60 - -1\/20. Suppose 0*a + d + x*a**2 = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (5 - -45)\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 120, 242, 364?\n\"Answer: 122*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 23348.\nAnswer: 116740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/17*y + 16\/17*y**2 + 2\/17*y**3 + 0.\nAnswer: 2*y*(y - 1)*(y + 9)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21579731 is divided by 2516.\nAnswer: 2515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9159806.\nAnswer: 2, 4579903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**4 + 1416*j**3 + 246276*j**2 - 1567944*j - 6882246 = 0.\nAnswer: -357, -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 768 and 4146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i**2 + 48*i**5 - 20*i**4 - 11*i**2 + 0*i**2 - 43*i**5 + 5*i + 30*i**3 = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/39 + (-2 - 2230\/(-130)). Solve x + 4 + p = -5*t, 0 = x + t + 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0220709403 to 6 dps.\nAnswer: 0.022071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (286 - 20*g + 79*g - 62*g)*(1 + g**2 - 1).\nAnswer: -3*g**3 + 286*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -179 times 3?\nAnswer: -537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + t - 25, 4*n - 8*n = -10*t + 6*t - 80 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-271*m + 108*m - 342*m)*(-2 + 2 - 3*m).\nAnswer: 1515*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 40*(8\/20)\/((-24)\/(-15))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17985 bigger than 17983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 12*n**2 + 18*n + 31. Let d be w(10). Let m = -193 - -194. Solve 6*k + d = -m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 5:09 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2423*k*n - 627409*k + 40*n**4 wrt n.\nAnswer: 2423*k + 160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltlllttlllttllttttt. Give prob of picking 4 l.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3)\/(t*t**(-5))*t**(-2)*t**0)\/((t*t**(-1))**(12\/11))**39 assuming t is positive.\nAnswer: t**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -522 - -532. What is the remainder when (56\/(-12))\/((-1)\/6) is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1340426 (base 12) in base 16?\nAnswer: -3a3a5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -15*i**2 - 44*i - 1. Let g(c) = 24*c. Determine l(g(a)).\nAnswer: -8640*a**2 - 1056*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b - 1. Suppose 3*i - 9 - 6 = 0. Let l(j) be the third derivative of j**4\/12 - j**3\/6 + j**2. Determine i*l(t) - 3*k(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 10479\/361?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(225\/(-240)) + 4\/5. Solve -170*f + y = -169*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09601 - -0.20399. Which is the closest to -111? (a) p (b) 2\/7 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2*x + 380 = 16*v + 60*v, 3*x - 2*v + 30 = -5*x + 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.59 and -7.\nAnswer: 11.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/91 - 969\/728. Find the common denominator of r and -97\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -15 - -13) + 13 - -2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 319*g**2 - 313*g**2 + 634*g**2 to the form j*g**2 + o + n*g and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4434073 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away 1229.357?\nAnswer: -1215.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137761 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**4\/42 - 4*n**3\/21 - 4*n**2\/7 + 2*n - 1. Factor h(c).\nAnswer: -2*(c + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4830 and 4.\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9.16, -1\/11, -2\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -2. Let w = 3.0034 - a. Round w to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 229168.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 6 = -d - 14, -5*h - 2*d - 25 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320575, 641148, 961721, 1282294, 1602867, 1923440?\nAnswer: 2244013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 62550 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000074187 to 7 decimal places.\nAnswer: 0.0000742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.4337995 months?\nAnswer: 0.0202816625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3888)*1)\/(-2*sqrt(294))*4*-5)**2.\nAnswer: 64800\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - (2\/2 - 4). Suppose 2*y + 2 = 4*y. Let r be (1 + 5)*(-5)\/(-10). Sort r, y, m in descending order.\nAnswer: r, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(35\/15) + -5. List the prime factors of o\/(-8) - 611\/(-52).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 32 = -2*z. Let s be (-32)\/18 + z\/(-4). Which is the nearest to 0? (a) s (b) 1\/2 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 61*g**3 - g**2 - 13*g. Let i(k) = -15*k**3 + 3*k. Let o(m) = -9*i(m) - 2*z(m). Let d be o(1). What is the greatest common divisor of 126 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 977 + 977 - 182*y**2 in the form p + m*y**2 + j*y and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7946.884 kilograms in grams?\nAnswer: 7946884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 17 = -0*w + 5*w, w = -5*c - 5. Solve -w*x + 2 = -3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 687535, 1375017, 2062499?\nAnswer: 2749981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-5)*f**(4\/9)\/f*f)\/(f**(-3)*f**(-3\/5)) assuming f is positive.\nAnswer: f**(497\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-105)*-7)\/((-16)\/(-18)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - -1 - (-2 + 1). Suppose -2*x - l = -19, -t*x - l = -3*l - 25. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3\/3 - 20768*j**2\/3 - 290899*j\/3 - 1018318\/3 = 0.\nAnswer: -7, 20782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 6*b = -3*i + 151, -b = i - 53. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195660.\nAnswer: 2, 3, 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 3*u. Let d be v(-4). Let l = 5 + 31. Calculate the least common multiple of l\/15 + d\/(-10) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -15491687\nAnswer: -1549168.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 399\/9 - 1\/3. Suppose -392 = -2*t - v. Calculate the remainder when (3 + t)*1\/3 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2*t + 35 = 32, m - 3 = -2*t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 1 (c) -11\/60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_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: Which is the nearest to 0.5? (a) 164\/5 (b) 3\/5 (c) -0.5 (d) 2\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -0.4. Let m = 2.6 - t. Let z = -82 - -82.5. What is the closest to -2\/5 in -2\/5, m, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -726 + 726.3. Which is the third biggest value? (a) 26 (b) p (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 999 and 333.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37025\/4109 or 9?\nAnswer: 37025\/4109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**5\/5 - 76*f**4\/5 - 356*f**3\/5 - 212*f**2\/5 + 72*f + 288\/5 = 0. Calculate f.\nAnswer: -12, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - -5*((-90)\/25 + 4). Let s be u\/20*(2636\/(-877) + 3). Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 9*z + 28. What is n(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -3*h - 18, -17*y = -4*h - 12*y - 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25426.\nAnswer: 2, 12713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 666990047 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 328 + -337. List the prime factors of d\/21*2702\/(-2).\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368 and 2024?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -313*v**3 + 157*v**2 + 132296 with respect to v.\nAnswer: -939*v**2 + 314*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 940204*j**3 + j**2 + 2*j + 1. Let w be f(-1). Let p = w + 1380204. What is p rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 15) to base 13\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at least -157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -88104 divided by 3?\nAnswer: -29368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -6. Let z = -1262 + 17671\/14. Which is bigger: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127814 divided by -3388.\nAnswer: 63907\/1694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 8. Let c be r(4). Suppose -5*p = -u - 9, 5*u + 1 = 2*p + 2. Solve -3*d + p*b = 7, c*d - 4*b = -7*b - 32 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 z when four letters picked without replacement from yzqnnnnnzyyzvqzzqn?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 313381909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.05347 and -55408469?\nAnswer: 55408469.05347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 328*i**3 - 2*i**2 + i - 1. Let b be l(1). Let h = 390 - b. What is the remainder when 251 is divided by h?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -41. Let x = g + -13.4. Round x to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 36*k**2 - 7*k - 118. Let a be m(-36). Let o = 146 - a. Calculate the remainder when 41 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 33. Let p(c) = -52*c - 2. Let s be p(i). Let o = -150 - s. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a microgram in nanograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4848 (b) -2 (c) 3 (d) 2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 16*a - 10294 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by (12 - (3 - 3)) + -11 + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.855 minus 0.107555651081?\nAnswer: 1.747444348919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*h**2 + 8*h + 5*h - 15*h + 18*h**2.\nAnswer: -15*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.1085kg in grams?\nAnswer: 90108.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 716 + -360. Does 26 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2.9723 (c) -341 (d) -0.1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 - 5*v**3 + 23*v + 0*v**3 + v.\nAnswer: -2*v**3 + 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 12. Suppose 0 = -4*c + 34 - 2. Let s be n(c). Calculate the remainder when 64 + (-1)\/(2\/s) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*q. Suppose 5*r - 47 - 3 = q. What is the highest common divisor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7792605.\nAnswer: 3, 5, 71, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*g + 25*i - 21*i, 3*g - 37 = -2*i. What is the least common multiple of 30 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -1, -17, -37, -61, -89?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 409 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*f**5 + 166*f wrt f.\nAnswer: -300*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46623*g**3 - 42145 wrt g?\nAnswer: -139869*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -77\/28438 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1395 - 1395.12. Let h be (2 + 3\/(-2))*6. Suppose -10 = -h*u + 5*l, 5*l + 11 = -2*u + 1. What is the closest to 2\/7 in u, 5, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5*m*m*m*m**1*m*m*m)**(2\/3))**(2\/101) assuming m is positive.\nAnswer: m**(16\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 504 = -0*r. Suppose 6*p - r = 2*p. Let l(m) = -m**3 + 1. Let k be l(-2). Calculate the highest common divisor of k and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*n - 1 = -0*n, 0 = -5*i - 3*n + 12. Suppose 2*z - i*l = 0, 10 = z + 5*l - 4*l. Suppose -z*k + 2*k = -68. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12785 and -0.2.\nAnswer: 0.02557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7987 - -9?\nAnswer: -797e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 17 = -15*y + 5*v, v + 1 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(-1)\/x)\/x)**(-1\/17))**(2\/79) assuming x is positive.\nAnswer: x**(4\/1343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3146 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -341 or 10\/9?\nAnswer: -341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 4*x + 4. Let f be d(-1). Let a(b) = 23*b - 1. Give a(f).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((20\/(-15))\/(-2)*3). Let w be ((-50)\/40)\/((-1)\/(-4)). Let s be w\/15 + (-13)\/(-21). Which is the third biggest value? (a) j (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1632033.\nAnswer: 3, 13, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0 - 192. Calculate the remainder when 9 is divided by ((-6)\/(-4))\/(36\/b).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 + 24*o**4 - 4*o**4 + o**4 - 2*o**4 + 3*o**4 + (-2*o**2 + 2*o**2 - 2*o**3)*(2*o - 5*o + 2*o) - 3*o**4 + 1 - 1.\nAnswer: 21*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 7*x + 8. Let q(t) = t**2 + 1. Let y(n) = 2*q(n) - v(n). Let j be y(8). Suppose 0*s + 22 = j*s. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.1 + 1.1. Let d = 27 - 27. What is the third biggest value in -11\/3, d, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2754*w + 5. Let g(p) = -43*p - 1. Give -5*g(n) - s(n).\nAnswer: 2969*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 + 13095762*o**3 - 6*o**2 - 13095758*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 19*n - 7. Suppose -21 = 3*c + k + 3, 15 = -3*c - 4*k. Let y be a(c). Let b = -50 - y. List the prime factors of b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/306 and 68\/27?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*i**3*q**2 - 7248*i**3 - 11261*i + 127*q**3 + 13433*q wrt q?\nAnswer: 16*i**3*q + 381*q**2 + 13433","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k - 3*m - 147, 0 = 3*k + 3*m - 243. What are the prime factors of k?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43710, -43280, -42562, -41556, -40262?\nAnswer: -38680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-3))\/((-2)\/15). Suppose -o*k = c + 122, -2*c - 312 + 98 = 4*k. Is (-1)\/((-1)\/(c\/(-1))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.33, 0.4, 0.12, -0.36?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.22 in -0.5, 1, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17865089 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: Let r be (-785)\/35 + 851\/37. Put r, -3, -5\/4, 44, -0.4 in ascending order.\nAnswer: -3, -5\/4, -0.4, r, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 5*h - h + 0*h - 3*h + 2*h + (0 - 2 + 4)*(-4 + 4 + 2*h) - 2 + 2 + h + 2*h - 3*h + 3*h)*(50 - 47 + 79) to the form q*h + i and give q.\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2\/1115 (c) 1\/10 (d) -3\/2 (e) -0.2 (f) 319\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*(q**(-14)\/q)\/q)*q**(2\/5)*q)\/(q\/(q*q*q**(-9\/5))*q**(-1\/5)*q) assuming q is positive.\nAnswer: q**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37592539 is divided by 174849.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -25915.50244 rounded to the nearest ten?\nAnswer: -25920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbzbzbzmzbbbz. Give prob of sequence mz.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*b*s**2 - 966*b + 4*s**4 wrt s?\nAnswer: -52*b*s + 16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 8*y**2 - 23*y - 19. Let t be l(-8). Suppose 3*z - 4*z - t = 0. Is z less than -165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18714791 to the nearest ten thousand.\nAnswer: 18710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -282660 (b) -0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 15*o**3 + 121*o**2 + 5*o - 19. Let b be m(-8). Which is smaller: b or 117?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 12. Let l be 20\/f + (-3)\/9. Suppose -l*q - 19 + 184 = 0. Calculate the highest common factor of q and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 42*y + 7. Suppose -14 = -3*h - g, 7 - 23 = -4*h - 2*g. Is v(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdl when three letters picked without replacement from dssssdssslsdssssssss.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - n = -56, -43 = -3*g - 3*n - 7. Solve 5*o + g - 11 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*-6 - sqrt(275)*-1.\nAnswer: -19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 136, 204, 298, 430, 612, 856?\n\"Answer: 2*l**3 + l**2 + 51*l + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 7, w: 1, p: 3}. What is prob of sequence ps?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 20. Solve 5*v + 21 = -2*t, t + j*v + 15 = -4*v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l*q**2*t + 3*l*q**2 - 3*l*q*t + 2*l*q + 4*q**2*t - 8*t wrt q?\nAnswer: -2*l*t + 6*l + 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20304999 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 11*w - 147. Let d(u) = u**3 + 9*u**2 + 11*u - 40. Let y be d(-7). List the prime factors of b(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 5) to base 3.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/13, 5, 9, -3, -2\/151 in ascending order.\nAnswer: -3, -2\/13, -2\/151, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 82 + 42. Put a, -2, 4 in descending order.\nAnswer: 4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 168 - 192. Let y(j) = j**2 + 24*j. Let n be y(c). Solve -i - 2*t - 3*t = n, -4*i - 2*t = 18 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3876525, -3876093, -3875373, -3874365, -3873069, -3871485?\nAnswer: -3869613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -117\/151 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.01 in -3, 182, -0.3, -4, 89?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -7*a**5\/6 + 3*a**4\/2 + 2539*a**3\/6 - 21901*a**2\/6 + 4114*a - 2662\/3 = 0.\nAnswer: -22, 2\/7, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/k**(1\/5)*k)\/k)*k)**(-6\/25)*((k\/k**1)\/k)**43 assuming k is positive.\nAnswer: k**(-5411\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 168679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12986332 to the power of 1\/2, to the nearest integer?\nAnswer: 3604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -442, -447, -452, -457, -462, -467?\n\"Answer: -5*v - 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1481050 and -2\/25029745.\nAnswer: 250297450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3137360*y**2 - 3763554*y.\nAnswer: -6274720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*c**2 - 14*c**2 + 24*c**2 - 2 - 1 to the form i + d*c**2 + p*c and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 1. Let z(v) be the third derivative of 0 + 1\/24*v**4 + 0*v**3 + 232*v**2 + 0*v. Calculate l(z(d)).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**4\/24 + 9*r**3\/2 - 4*r**2. Let w be y(-11). What is the greatest common factor of 144 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 600.239992 - 598.18. Let h = d - 2.06. What is h rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 25 = -w + 5*q, 0 = 4*w + 5*q - 35. Let x be 2\/(-6) - (-39)\/9. Solve -u - x*u + w = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*y - 22*y - 28. Factor 2\/3*q**y + 0*q - 2\/3*q**4 + 2\/3*q**3 - 2\/3*q**5 + 0.\nAnswer: -2*q**2*(q - 1)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1310 - 559. Let r = 2700 - y. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*-52*3\/(-30)*5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -757 - 1341634?\nAnswer: -1342613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, m: 1, w: 7, k: 1, a: 1}. What is prob of sequence mtwk?\nAnswer: 7\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -276, -292, -306?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 - 45*h**2 + 10*h + 6. Let w(g) = -7*g**3 + 132*g**2 - 31*g - 16. Calculate 8*d(t) + 3*w(t).\nAnswer: 3*t**3 + 36*t**2 - 13*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(7\/5)\/r**(-1\/12))\/(r**(1\/3)\/(r*r**(1\/5)\/r)) assuming r is positive.\nAnswer: r**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**2\/5 - 112*v\/5 + 120 = 0.\nAnswer: 6, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**9\/60480 + x**6\/240 - x**5\/30 + 3*x**2. Let s(t) be the third derivative of p(t). Differentiate s(i) wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 361046 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -39. Suppose -4*f + r = f - 3*u, -3*u - 4 = f. Let d be 3 + (23 - f\/(-2)). Round d to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 10 = -2*x + 5*c, -5*x + 5*c + 30 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84801, 86306, 87803, 89292, 90773?\nAnswer: 92246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l + 118. Let r be j(19). Put 39, -2, r in descending order.\nAnswer: 39, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69334365.\nAnswer: 3, 5, 601, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -692*d - 272. Let z be n(13). Let y = 15611 + z. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 - 2*m**2 + 2*m - 61. Let u(q) = -4*q**3 + 3*q**2 - 3*q + 60. Determine -3*r(k) - 2*u(k).\nAnswer: 2*k**3 + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/5 of a kilometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86440?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 6*y**2 - 11*y + 38. Let i be d(5). Let r be 4\/18 + 34\/9. Suppose r = s - i. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01287 + -65.98713. Put 3\/5, -8, a in ascending order.\nAnswer: a, -8, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 v when three letters picked without replacement from vnvvnvvvwwnwvnotowv?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 36 + 8 + (60 - 2)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**4\/12 - 7*d**3\/6 - d**2. Let j be (-4)\/(-10) - 38\/(-5). What is the units digit of k(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 50. Let m be (-1)\/3 + (1 - 2\/l). Solve m = 5*w - 5*h - 25, -h - 3*h = -w + 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39, -196, -461, -834?\n\"Answer: -54*x**2 + 5*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47260 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12699 = -32*a - 715*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 163 - -2552. Suppose -3*l + 8*l = a. What is the units digit of l\/9 - 2\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2026 - 758. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 24603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.016 - -1.984. What is the fourth smallest value in -16, 2\/5, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12731\/286 - -1155\/26. Which is the smallest value? (a) -96 (b) i (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 217 = 137*v, -12478*v - 6 = -12475*v for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.989 - -14. Let j = u - -0.264. What is j rounded to 2 decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**6\/90 + 22*a**3\/3 + 52. Let l(m) be the third derivative of v(m). Let y(z) = 14*z. Calculate l(y(g)).\nAnswer: -784*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 10 = -0*h. What is the units digit of -2 - (h + -1 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - 21635\/(-7) - (-192)\/672.\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (20445\/(-3) - 0). Suppose -22*j + x = 1245. List the prime factors of j.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -25 - 2\/3*o**3 + 1\/2*o**2 + 12*o. Let x be q(5). Is x equal to -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahaa when four letters picked without replacement from hhhhhhhhhhhahhhahahh?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96672)\/144)\/53*((-2)\/(-4) + 1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -63*z - 9. Let y be s(-3). Suppose -5*h + 7 = -7*w + 10*w, 3*w = -2*h + 10. Suppose -p = w - 24. What is the greatest common factor of y and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 16*i**8\/7 - i**4\/12 - i**3\/2 - 60*i. What is the third derivative of s(c) wrt c?\nAnswer: 15360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-16)*g*g\/((g**(-13)*g)\/g))**(-2\/3) assuming g is positive.\nAnswer: g**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102460016383\/73866 + 18032375\/13. Let f = 1\/947 + k. What is the biggest value in 1\/3, f, -60?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 12 = 4*s. Let j be (-2)\/(-9)*3*3. Sort s, -4, j.\nAnswer: -4, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 1 (c) 0 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**5 + 225*h**4 + 1365*h**3 - 17065*h**2 - 88200*h = 0. What is h?\nAnswer: -8, -5, 0, 9, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3 - ((-52765)\/122)\/(1\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79240*p**2 - 71*p**3 - 79240*p**2.\nAnswer: -71*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -130061.\nAnswer: 650305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**4\/8 + 5*q**3\/6 + q**2 - 6. Let z(c) be the second derivative of y(c). Calculate z(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (1 - -10)) + 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15*((-10)\/(-15))\/2. Let t(w) = -14*w + 68. Let p be t(y). Which is the closest to 2\/7? (a) p (b) -0.08 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*13\/(-26))\/((-12)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -244171*m**2 - 3*m + 23151 wrt m.\nAnswer: -488342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10) + 7\/(105\/(-12))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.8, 0.5, -5\/4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h + 0*h + h)*(-3*h**2 - h**2 + 6*h**2) + (4 - 2 - 3)*(5*h**2 + 3*h**3 - 5*h**2) as c*h**2 + d*h**3 + l + m*h and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (580\/(-14))\/((-24)\/84). What is the greatest common divisor of k and 3480?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -695*c**3 - 26*c**2 + 255222*c?\nAnswer: -4170*c - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/279 - 34\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28215 - -388?\nAnswer: 28614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70 + -27 - (38 + -17)) + -17 - 50.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -369 + 532. Let l = -163 + y. Put l, -0.17, 4, 1 in ascending order.\nAnswer: -0.17, l, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-281\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 2:32 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10666 = -10*u + 8*u. Suppose -h = -3*s - u, -3*h + 19743 - 3700 = 2*s. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n**3 + 10*n**2 - 9*n - 31. Let x(q) = q**2 - 24*q - 190. Let b be x(30). Is h(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/9 + (-18)\/(-137052)*82557. Let t = -7\/188 + f. What is the common denominator of t and 1\/(-2) - 30\/(-152)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -8, 3, 0 in increasing order.\nAnswer: -30, -8, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -14. Suppose -o*x = -6*x - 24. Let s be 6*-3*4\/x. Is 3 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 8. List the prime factors of v(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 j when three letters picked without replacement from {u: 2, j: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 4734.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + v + 74 = -0*n, 0 = 4*n + 3*v + 68. Let o = n - -19. Solve 4*b - 7 = o*d + 3, 4 = -2*d + 2*b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*t - 4, 2*t + 0*t = 4*c - 2. Suppose -w + 5*j + 0 + 35 = c, 35 = 4*w + j. Solve -w = 3*v + 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-3)\/12)\/((-1)\/(-4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 3*g**2 + 2*g - 2. Let i be b(3). List the prime factors of i\/16 + 27063\/36.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1034*h + 112018. Determine s(109).\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - l = 11, n + 0*l + 2*l + 4 = 0. Let c(u) be the second derivative of -u**5\/20 - 5*u**4\/12 - 2*u**3\/3 - 3*u**2\/2 + u. Give c(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**5\/6 + 2*g**2 + 23. Let c(i) = 3*i**2. Give s(c(a)).\nAnswer: 90*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 11 = 5*s, -3*v - 3*s + 12 = -0*v. Which is the biggest value? (a) v (b) 0.4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m + 97. Let z be i(-19). Let n(g) = 2*g**2 - 8*g - 6. Let b be n(6). Solve -v - c = 0, -2*c - b = -z*v + 2*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 662\/3 - (2 - (-70)\/(-30)). Let r = f - 21. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 25. Sort -0.9, n, 3\/4 in ascending order.\nAnswer: n, -0.9, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -311 and 8604.\nAnswer: -2675844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23510009 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-20)*-1)\/((185955\/196)\/23 - 33)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6 = 0, 4*x + n + 3*n = -8. Let d(i) be the third derivative of 0*i - 1\/4*i**4 + 3*i**2 - 1\/10*i**5 - 1\/120*i**6 + 0 - 7\/6*i**3. Calculate d(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*q - 4*p - 88, -8622 = 4*p - 8630 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5\/4 - 581*k**4\/2 + 30978*k**3 - 2358047*k**2\/2 + 66148711*k\/4 - 39813258 = 0 for k.\nAnswer: 3, 37, 1048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywyoyyyyyoyyyyt. Give prob of sequence yt.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110010100101 (base 2) in base 14?\nAnswer: 592d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/6915107 and -45\/2584.\nAnswer: 55320856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -20?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from gttttigttggtgttttttt?\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 + 3*h - 3. Let l(m) = 3*m**3 - 5*m + 5. Give -3*l(q) - 5*s(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60962 - -114543. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -319 - -305.2. Let x = o + 5.8. Which is bigger: -24 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7427991?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 5. Calculate the smallest common multiple of 16 and 8\/g*(-54)\/(-4).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 - 2*g**3 - 3*g**2 - 2*g**3 - 2*g + 2*g + (4 + 0 - 6)*(2*g**3 + g**3 - 2*g**3) + g**2 - 2*g**3 - g**2 + g**3 + 0*g**3 - 2*g**3.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + 3*d**2 - 5*d**2)*(-8*d + 0*d + 3*d) + (-4 + 4 + d)*(-5*d**2 + 2*d**2 + 5*d**2) + 2 + 2*d**3 - 2 + 0*d**3 + 2*d**3 + 0*d**3 + 2*d - d**3 - 2*d.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 - p**2 - 24*p + 7. What is the remainder when 500 is divided by w(5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -0.046, -0.1, 3?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5067170 divided by 88.\nAnswer: -2533585\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-34)*(595\/170)\/((-28)\/(-8))?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.099 - -0.1. Let h = 3.301 - n. Let l = 0.3 - h. Which is the third biggest value? (a) 1 (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -24*a + 3. Let k(d) = -38*d**2 - 18*d - 36. Let q(g) = 2*g**2 + g + 2. Let r(c) = 2*k(c) + 36*q(c). Calculate r(z(w)).\nAnswer: -2304*w**2 + 576*w - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t = -4. Find the third derivative of 5 - 5 + 0 + 2*z**2 - 3*z**t wrt z.\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*o - 193*o + 232 = 0. Suppose -3*z + 18 = 48. Let h be 8\/20 - o\/z. Solve f - 5*t = -14 - h, 2*f = -5*t + 23 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -791 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c - 2*c + 4*c)*(-3*c - 12 + 8 + 1) to v*c + l*c**2 + z and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*z - 92*z = -10657 - 2931 for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 374535, 374525, 374499, 374451, 374375, 374265, 374115, 373919?\n\"Answer: -w**3 - 2*w**2 + 3*w + 374535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 7*k - 2*k + 15, -2*b - 3 = k. Solve -i = -b + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/(-3)*66\/88. Let c(p) = 7*p**2. Let k be c(1). Which is smaller: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 4, -186, -4.\nAnswer: -186, -8, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:08 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*i + 3*m + 2, 15 = 5*i - m. Let j be 324\/300 + (1 - i). Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.18 - 2.9. Let p = 0.97 + -1. Let c = p - t. What is c rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -15*q + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018615 to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151, 1, -0.1, -2\/11, -2.2, 2 in ascending order.\nAnswer: -151, -2.2, -2\/11, -0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-120)\/(-32) + -4)*-10952?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 - 174*a**2 + 260*a - 7569. Calculate u(86).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -301\/8*p**4 - 1\/3*p**3 + 0*p + 26*p**2 + 0. Is z(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3267, -15, 1\/4, 4, 2\/11, 1\/2, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-5) + 54\/90. Which is the biggest value? (a) 4\/3 (b) 2 (c) -0.1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1653 times 0.4\nAnswer: -661.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 436.956 + 0.044. Let k = 436 - p. What is the fourth smallest value in -0.2, k, 3\/7, 1\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000654985 rounded to seven decimal places?\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 71. Let g = j + 57. Suppose -g - 224 = -2*z. What is the greatest common divisor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 6, 6, -2, -24, -66, -134?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.631 - -718.631. Let d = q - 716.99619. What is d rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -88, 3, -2000.\nAnswer: -2000, -88, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4003, -8009, -12015, -16021, -20027?\nAnswer: -24033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 10:35 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 + -64. Let q(a) = 6*a + 3*a**2 - a**2 - 6 - 3*a**2. What is q(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 97 = -33. Suppose 5*g - o = 3*c, 2*g + g - 21 = -2*c. Let -3*r + 0 - 2*r**3 - 6 + g*r + 7 - r**2 = 0. Calculate r.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29400 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1412*d**3 - 12*d**2 + 1573*d. Let c(z) = -1415*z**3 + 18*z**2 - 1574*z. Let j(b) = -2*c(b) - 3*s(b). Find the second derivative of j(l) wrt l.\nAnswer: -8436*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1220, -1, 4.\nAnswer: -1220, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 752003 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1902301886570 take away 66?\nAnswer: -1902301886636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 148907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**8\/1680 + i**5\/60 - i**3\/3 + 1. Let a(d) be the third derivative of s(d). Find the second derivative of a(k) wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 80 (c) 0.022\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1) + (-8 - (-28 - -9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, m: 2, e: 1, n: 3, w: 1, u: 2}. Give prob of sequence nmun.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 2\/9 (b) 2\/19 (c) -0.05 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0057919076 rounded to 5 decimal places?\nAnswer: -0.00579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 436 - 417. Calculate the remainder when 586 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w**2 + 16554165*w\/2 - 1379514 = 0. What is w?\nAnswer: -919676, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(126)*1)\/(1*sqrt(486)))\/(-6*sqrt(432)*-3).\nAnswer: 5*sqrt(7)\/1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32048153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 5*t**2 - 10*t - 13. Determine d(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86350 is divided by 5750?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n = -4. Let h(t) = t**2 + t - 2. Let c be h(n). Suppose -v - 3*w = -4, 5*v - c*v = -w + 4. Sort v, 3, -1.\nAnswer: -1, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5027312*5.\nAnswer: -25136560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000751 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/7 - 2195*j**2\/7 - 9578*j\/7 + 7360\/7.\nAnswer: (j - 736)*(j + 5)*(3*j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66 - 44) + -22 + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10293*p**5 + p**4 + 2*p**2 + 819*p wrt p?\nAnswer: -617580*p**2 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -514 + -3654?\nAnswer: -4370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = y - 0. Suppose 5*q = y*b - 27, -3 + 12 = 3*b + q. Calculate the remainder when 6 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*t - z, 3*t - 2*z - 9 = -1. Solve t = -2*y + 7*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -1)*(0 + 1). Suppose 0 = -5*v + 3*o + 4, v - 2*o + l*o = -2. Solve 5 = -v*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((b\/b**23)\/b)\/b)\/b)\/b)\/b*b)**(-41)\/((b\/(b\/(b*b*b**5))*b)\/(b\/b**6)))**(12\/19) assuming b is positive.\nAnswer: b**(12636\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9*-1*1*(1189\/(-29))\/41)\/(-1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w. Let b(p) = 16*p**2 - 11*p. What is x(b(a))?\nAnswer: -32*a**2 + 22*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, v: 5, s: 4}. Give prob of picking 2 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**2\/3 + 306772*d\/3 - 4909888 = 0.\nAnswer: -153434, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-28*n - 232*n + 2*n + 5*n - 4*n + n + (2*n - 4*n + 3*n)*(0 + 2 - 1) + n + 0 + 0).\nAnswer: 254*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 181682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -17*l**6\/30 - 7*l**4\/12 - l. What is the third derivative of m(q) wrt q?\nAnswer: -408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30356 - -30400.062. Let z = 44 - i. Round z to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516 - 33 = 3*y. Let b be (y + -2)*(-2)\/(-6). Suppose -2*p + 3*p = b. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 0*l + 0*l)*(70 - 193 - 66 + (2 - 3 - 1)*(1 + 1 - 3)).\nAnswer: 561*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 0.09, 15.0625 in descending order.\nAnswer: 15.0625, 0.09, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128 is divided by 114?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-297)\/11))\/(4485\/(-9315))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 2. Let k be c(7). Let i = -15 + k. Let b = i + 51. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*y - 75 = 0, 5 - 107 = -3*o + 3*y. Calculate the highest common divisor of 455 and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -586 + 1165. Let p = -419 + 97. Let s = p + w. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 102? (a) -2\/5 (b) 4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 587*j - 593*j - 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 16*p**2 - 13*p - 24. Let h be s(15). Let k(t) be the first derivative of h - 2*t**2 + 0*t - 2\/3*t**3. Suppose k(w) = 0. What is w?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 6*d**2 + 3*d + 2. Let n = -931 + 465. Let z = n - -461. Calculate v(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(10)\/(sqrt(50)\/sqrt(10)) + 0.\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5410652 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1423, 2904, 4417, 5980, 7611, 9328?\nAnswer: 11149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 231799*q**3 - 55118 wrt q.\nAnswer: 695397*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 68888 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.033 in -1\/2, -0.6, 111\/1265?\nAnswer: 111\/1265","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87830*y**3 + 2*y**2 - 131*y + 127?\nAnswer: 526980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 284 and 452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 293 - 198. Determine d so that -26*d**4 - 6*d**5 + 12*d**5 - 80*d - 20 - 11*d**5 - 125*d**2 - 9*d**4 - x*d**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 234563287*l**3 - 2*l**2 + 77*l + 20895 wrt l?\nAnswer: 1407379722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2446\/5 - 7318\/15. Which is the third smallest value? (a) t (b) -46 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/((m*m*m**(-1\/2)*m)\/m)))**9\/(m**2)**(2\/25) assuming m is positive.\nAnswer: m**(1117\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 491285 by 192.\nAnswer: 491285\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-50)\/6*(-1)\/5*33. What is the greatest common divisor of 264 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 254, 252, 252, 254, 258, 264?\n\"Answer: h**2 - 5*h + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1512 and 999?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 310 + 32. Let a = n - -458. Suppose -4*h + a = 2*r, -4*r + 97 - 686 = -3*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0.1 (b) -0.94 (c) 0.4 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 2940?\nAnswer: 2940.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 31*h - 1767. What is the lowest common multiple of g(85) and 20?\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -223.17 - -238.4. Let r = 15.214906 - q. Let l = r - -0.015. Round l to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -428061 and 0.2889.\nAnswer: -428060.7111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 5*w - 2. Let i be s(4). Let t(f) = f**2 + 4*f**2 - i*f**2. Let z(r) be the third derivative of -r**4\/12 - 3*r**2. What is z(t(j))?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) 80 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 14 + -26 + 41.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017794189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyyfkifffi. Give prob of sequence kc.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -5. Suppose 14 = -2*f + y. Let k = 10 + f. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 273488 (base 11) to base 8.\nAnswer: 1506152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*b - 10, -3*r - 2 + 0 = b. Let q be (-30)\/6 - r\/(-2). Let h(m) = m**2 + 4*m. Let o be h(q). Solve o*a + 0 = -2*l - 31, -l = 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.6 - -2.4. Let z = -0.3 + -3.7. What is the second smallest value in 0.1, b, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1955 + -2148.21. What is z rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -81*y**6 - 2*y**4 + 103*y**2 - 2. Let v(i) = -325*i**6 - 9*i**4 + 411*i**2 - 9. Let l(r) = -9*u(r) + 2*v(r). Find the third derivative of l(o) wrt o.\nAnswer: 9480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -61 + 56 - (1 + -17). Let w be (-8)\/5*(-100)\/10. Let l = 27 - w. Calculate the highest common divisor of l and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 26122.9448 rounded to the nearest integer?\nAnswer: 26123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hazl when four letters picked without replacement from {a: 4, l: 2, h: 5, z: 2}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from {y: 2, e: 1, h: 1, s: 2, g: 1, n: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 2394.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 9*l**2 - 3*l + 3. Let p be m(3). Which is the closest to 2\/5? (a) -1 (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 3*n + 4 = -3*r, 2*r + 3*n = -7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4883042 is divided by 525?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*n - 0*n - 21, -w + n - 8 = 0. Let d be -2*w\/(-6)*-1. Solve -2*l + 3*l = 4*f - 16, -f = -2*l + d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, r: 1, w: 1, a: 1, h: 2, o: 2}. What is prob of sequence ohr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (-1 + sqrt(208) + 4)**2 - 3*2*sqrt(208)) + 0.\nAnswer: -217 - 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12934567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24689975 and 0.04.\nAnswer: 987599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + 40020032?\nAnswer: 40020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 5*k**2 - 2*k - 1. Calculate p(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 915516, 915545, 915574, 915603, 915632?\nAnswer: 915661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 70, 1196, -5, 3 in descending order.\nAnswer: 1196, 70, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**6\/120 + 11*w**5\/30 - 5*w**4\/3 - 5*w**3\/3 - 6*w**2 - 3*w. What is the units digit of d(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70889981 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10977 divided by -10977?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 364\/65 - (-5 - (-23)\/5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2. Let z(c) = -98*c**2. Calculate z(y(a)).\nAnswer: -882*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + -1. Let a be 32\/c*6\/8. Let t = -47 + 47. Are t and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*z + 11*z + 4*z**3 + 0 - z**3 + 0 + (0*z**2 - z**2 + 3*z**2)*(-2*z - z + z) - 216*z**3 + 67495*z**2 - 67495*z**2.\nAnswer: -217*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {v: 4, p: 6, l: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 4. Let f(x) = 2*x + 7. Let z(p) = 6*f(p) - 10*n(p). Let i be z(-4). Let l be 55\/20 - i\/(-8). Solve l*v = 3*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -85b3 - 4?\nAnswer: -85b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 16 = 17*l. Solve -l*m - x + 6 = m, 2*m + 2*x = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -v - 60. Let l(x) = x**3 + 5*x**2 + x + 7. Let g be l(-5). Solve -g*p + v = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**2 - 12*t**2 - 6*t**2 as c*t + j + n*t**2 and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6*z - 12 = 0. Suppose -2*p = -5*r - 275, -z*p + 184 = -3*r + 2*p. Let u = r + 75. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 972 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13219*y - 13221*y - 5*p = -39, 13*y - 51 = 8*p for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/(-6)*78\/52. Suppose -3*v - 5*a = 3, -4*a + 0*a - 8 = v. Find the second derivative of -2*b**4 - i*b + b**v - b wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7823251.5 to the nearest ten thousand.\nAnswer: 7820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 8*a - 5*p - 16529, 0 = -3*a + 7*p + 16519. Let i(x) = 181*x**2 - 10*x - 2. Let d be i(7). Let t = d - a. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3948394 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001110 - -110000011?\nAnswer: 1110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -538*-5.\nAnswer: 2690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**46\/z*z)\/(z\/((z*z**(-22))\/z)*z))\/(z**(10\/3)*z)**(-2) assuming z is positive.\nAnswer: z**(92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 5250 + 5310 = -4*q, -5*b - 88 = 4*q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p**5\/4 - 3687*p**4 + 4506951*p**3\/4 - 750339*p**2\/2 = 0.\nAnswer: -1902, 0, 1\/3, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/i**(-2\/7)))**(-6))**(2\/111) assuming i is positive.\nAnswer: i**(36\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-4)*(-6)\/5. Which is the fourth smallest value? (a) 0.5 (b) -0.08 (c) 2\/5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2. Let w(b) = -6*b**2 + 5*b. Let f(v) be the third derivative of -v**5\/60 + v**4\/24 + 7*v**2. Let u(q) = -5*f(q) + w(q). Determine u(a(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(405)*1 + sqrt(405) + (3 + sqrt(405) + 1 - sqrt(405)) + 3)**2.\nAnswer: -126*sqrt(5) + 454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 32506*g - 390063. What is z(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24551)\/(-10) + 7\/(-70) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 484770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9268015 divided by 1765.\nAnswer: -5251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14274 take away 0.1?\nAnswer: -14274.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d + 8*d = -45 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 60307 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 17*k - 7. Let n be r(-15). Let o = n + -19. Solve -16 = 4*w + 4*c, -o*w - 4*c = -c + 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 502559464822577\/62070 + -40483282147\/5. Let o = 21\/2069 + k. Calculate the common denominator of 28\/15 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 3*d = -5*w + 15, -5 = -d for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9911244*h**3*x**3 + 13921*h**3*x**2 + 3*h**3 + 19 wrt x.\nAnswer: -59467464*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -216 - 19\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34a2 - 613?\nAnswer: 298a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -45\/11, -0.2, -0.06?\nAnswer: -45\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 294 - 8. Suppose 0 = 2*q - w - 25, -2*q - 3*w + 7 = -14. Let l = q + 6. Calculate the lowest common multiple of l and i.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*x + 8*x + 23*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 16. Let v = -2.48 - -2.18. What is the second smallest value in 0, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 36. Let o(z) = -3*z - 71. Determine 5*k(s) - 2*o(s).\nAnswer: s - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 8:41 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -161*y**4 - 81*y**2 - 1. Let f(n) = -2*n**2 - 1. Let b(l) = f(l) - r(l). Find the third derivative of b(o) wrt o.\nAnswer: 3864*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2, 0.14, -2, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.547 to the nearest integer.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80825257?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*x + 3*x + x**3 + 12 in the form u*x + y*x**2 + z*x**3 + j and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-9)\/15*200\/6. Let t = o + 42. Suppose 0*r - 1335 = -3*i + r, 5*i = -t*r + 2225. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/(1\/24*-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 18?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/36*-15)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -11.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*l + 338, l = -2*c + 4*c + 83. Let i = -53 + l. What is the remainder when 99 is divided by i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.4 (b) -7 (c) -0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) - (-1082)\/(-4). Let k = -182 - t. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28001, -28054, -28107, -28160?\n\"Answer: -53*q - 27948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -203 + 211. Suppose j*w = w - w. Solve w = 2*t - 4 - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/3)*k**(-2\/13)*(k\/k**1)\/(k\/(k**(-2\/9)\/k*k))*k**34\/(k**(1\/3)*(k*k*k**(-3)*k*k)\/k*k) assuming k is positive.\nAnswer: k**(3622\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 14\/1063, 4, -6.2?\nAnswer: 14\/1063","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16325 - -16331. Let d(v) = v**3 - 7*v**2 - 15*v + 121. Determine d(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (40 - 46)*1\/(6\/20). Is ((-1)\/(-6))\/(l\/(-5045160)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19429 or -3436?\nAnswer: -3436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 7*z + 110. Let s = 139 - z. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/161448 and 46\/54777.\nAnswer: 3067512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*q**4 - 10*q**4 - 50*q**4 - 2*q**2 + 2*q**4 + 2*q**2 + (-4*q**2 + 4*q**2 - q**2)*(2*q**2 + q**2 - 2*q**2).\nAnswer: -72*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**6\/10 + 3*c**5\/20 - c**4\/4 - c**3\/2 - 7*c. Let z(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 30 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27555, -55122, -82689, -110256?\n\"Answer: -27567*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5486.5303419108 and 0.2?\nAnswer: 5486.7303419108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24893*t**5 + 67*t + 286 wrt t?\nAnswer: -497860*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 5. Let q(s) = -s - 5. Let n(a) = 4*k(a) - 5*q(a). Let w(v) = v**2 + 2*v - 5. Let m be w(6). Suppose -11*h - 45 - m = 0. Determine n(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2. Let k(q) = -q**2 + 4*q. Suppose i - 5*x + 140 = 6*i, 4*i - 127 = -x. Let p(a) = -9*a**2 + 33*a. Let v(c) = i*k(c) - 4*p(c). What is v(j(b))?\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 9. Let y(x) = -x**3 + 5*x**2 + x - 4. Let g be y(f). Suppose -2*w + w + g = 0. Solve -2*h + 5 = -3*d + w, -2*h - 21 = -5*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -139 + 138.893. Let y = 0.827594 - 0.93462. Let k = p - y. What is k rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902073.\nAnswer: 3, 300691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - k + 334819 = 0, -331919 = -4*q - 3*k + 2898. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 4, 0.3, -26, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**2 - 32*w - 25. Determine f(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**3 + 175*c**2 - 180*c + 3. Let k(h) = -28*h**3 + 1224*h**2 - 1256*h + 20. Let p(b) = -20*a(b) + 3*k(b). Suppose p(o) = 0. Calculate o.\nAnswer: 0, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (105\/(-20) + 5)\/((-2)\/(-8)). What is the second biggest value in 1, r, -3, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t - 2*t**2 + 13*t - 76204*t**3 - 26*t - 2*t**2.\nAnswer: -76204*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 6:53 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 411 and 15.\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**0)**(-26))**27*(((j\/(j**(-1)\/j))\/j)**41)**(-5\/2) assuming j is positive.\nAnswer: j**(-907)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from {d: 1, h: 1, s: 12}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 8:58 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 432.\nAnswer: -1\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4848 + -2?\nAnswer: 4846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 92, -1 in ascending order.\nAnswer: -1, 1, 4, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2732.76394 rounded to one decimal place?\nAnswer: -2732.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(1 + 3) - 0. Suppose k = -2*y - 4. List the prime factors of 17 - 5\/((-5)\/y).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - g + 1. Let x(l) = -l**2 + l - 1. Let h(b) = -p(b) - x(b). Let f = 7 - 5. Let s(z) = 0*z**2 + 4*z**2 - z**2 - 2*z**f. Determine h(s(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w = 5*t - 15, -t + 3 = -2*w. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1605, 1855, 2283, 2895, 3697, 4695, 5895, 7303?\n\"Answer: o**3 + 83*o**2 - 6*o + 1527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -9348 (b) -4\/5 (c) -0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*p**2 + 65*p + 858?\nAnswer: 56*p + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 741 and 2451.\nAnswer: 31863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7962582513 - -0.066.\nAnswer: -7962582512.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**5\/60 - 5*w**4\/12 - 4*w**3\/3 - 3*w**2. Let k be y(11). Solve 3*n - 4*b - 19 = 0, 0 = k*n + n - 2*b - 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**5 + v**5 - 5*v**5)*(3 + 2 + 4).\nAnswer: 18*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 - 149109 + 149109.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + sqrt(2448) + -2)**2.\nAnswer: 72*sqrt(17) + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2391*t + 9*t + 24712 - 93790 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 187293 divided by 1257\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/1433?\nAnswer: 3\/1433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2552 = -b - x - 2542, -2*x = -b + 4 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -257 + 264. Suppose -a*q + 1192 = 4*i - 9*q, -i + 2*q = -298. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 5*j + 10, 2*o + j + 2 = -0*j. Suppose 4*f + 0*f - 16 = 0. Let x be f\/(-5)*(-5)\/7. Is o bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11330112333 - -1?\nAnswer: 11330112334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -4*n + 3, 5*n = 2*v + 21 - 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t - 29*t**4 - 3*t + 3*t**4 wrt t?\nAnswer: -312*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 - 51. Solve 0 = 2*s - 2 - o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*w + 99*w = -96*w - 84 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191 = -51*v - 956 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19710033 minus 0.14?\nAnswer: 19710032.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*((r**(2\/5)*r*r)\/r*r*r)\/r)*r*r\/((r\/(r*r\/((r*r**(1\/10)*r)\/r*r))*r)\/r)*r*r**7*(r\/(r\/r**5))\/r assuming r is positive.\nAnswer: r**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 13. Suppose -30 = -3*l - k. Solve -2*g + 4*t + 0*t = -8, -g + 4*t + l = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 3*p + 14)*(1 - 3 + 0)*(26*p + 21*p - 9*p).\nAnswer: 228*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4012*p. Let y(k) = -113*k. Determine -5*i(r) + 177*y(r).\nAnswer: 59*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvvmmvvmmvvvmmmmvvvv. What is prob of sequence vvvm?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**7\/210 + 364*f**6\/75 - 66611*f**5\/50 + 22022*f**4\/5 - 43923*f**3\/10 - 2326*f. What is p in h(p) = 0?\nAnswer: 0, 1, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1940 and 450?\nAnswer: 87300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/9 + 2*r\/3 + 4\/9 = 0. What is r?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -2, 0.8 in increasing order.\nAnswer: -2, -2\/5, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**5 - 3*o**2 + 3*o**2 + (-11 - 8 + 7)*(4*o**2 - 4*o**2 - 2*o**5) + 5*o**5 - 5*o**5 + 3*o**5.\nAnswer: 23*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 64f (base 16) in base 5?\nAnswer: 22430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 5*d + 1. Let t be y(4). Let l be t + (-2 + 0)*-1. Let j(h) = -9*h**2 - 1. Give j(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 888.9501 grams?\nAnswer: 888950100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72134737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 5*h + 193, -165*n - 138 - 41 = 4*h + 138 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.54 + -4.54. Are l and 1.6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 2 + 6)*(0 + h + 0) + (56*h - 6*h + 24*h)*(1 + 0 - 3) to the form y*h + a and give y.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 2*s - 2*s)*(1 + s**2 - 1 + (5*s**2 - 3 + 3)*(0 - 1 - 1)*(3 + 2 - 4)).\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -382459\/83760 - 3\/5584. Let g = -22\/5 - v. Let t = -12 + 21\/2. Put -2, g, t in decreasing order.\nAnswer: g, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144400 - 234*d**2 - 144400 + 158*d wrt d?\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 236025 and 2445075?\nAnswer: 2564883675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0333812, 0.5, -1\/167 in ascending order.\nAnswer: -1\/167, 0.0333812, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30387091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 - -73. Let c = a + -23. Is ((-6836)\/(-16))\/((c*-1)\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 372 and 7068?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231 + 300013202232?\nAnswer: 300013203123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**2*r + 192760*l**2 + 2254*r**2 wrt r?\nAnswer: l**2 + 4508*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001107936 to the power of 1\/2, to the nearest integer?\nAnswer: 31640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -23. Let x = -4 - -7. What is the lowest common multiple of 0 + ((k - -13)\/4 - -7) and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 4*c**2 - 4*c + 4. Suppose 0 = -3*b + 1 - 13. Let u = b - -9. Calculate the remainder when s(5) is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -13\/2*v**3 - 1\/12*v**4 + 0 - 14*v**2 + 0*v. What are the prime factors of s(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1304865 or 1304869?\nAnswer: 1304865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 h, 1 p, and 1 j when four letters picked without replacement from {p: 3, h: 7, j: 4, o: 3, z: 1}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91008960.\nAnswer: 2, 3, 5, 7, 29, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113 + 216. Suppose t - 9 = 2*v. What are the prime factors of v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20803?\nAnswer: 71, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/880 and 1\/1232.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279393210 divided by 30.\nAnswer: 9313107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-2)*1*(-2)\/564.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 7 = -3*a, -2*k + 4*a + 646 - 634 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/8 - 53*b**2\/4 + 1277*b\/8 - 585\/4.\nAnswer: -(b - 10)*(b - 1)*(b + 117)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(-5) + (-1)\/5. Suppose x - u*x = -3*x. What is the closest to 1 in -1\/4, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235703 is divided by 58922.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*g + 53 + 99. Put 7, g, 1, 2 in descending order.\nAnswer: 7, 2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**6\/2 + n**4 + 2*n**2 + n - 42. Find the second derivative of h(j) wrt j.\nAnswer: -60*j**3 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18207300 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, j: 2, q: 4}. Give prob of sequence qq.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -2. Suppose 4*v = -5*x + x - 9128732, -d*x = -4*v - 9128700. Let c = v + 1402179. Round c to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 62. Calculate the lowest common multiple of 12 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 12*c**2 - 29*c - 2. What is k(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100 - -1111000001011?\nAnswer: 1110111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3254 - 141?\nAnswer: -3435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -22*o + 23. Is a(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1 take away 250.71062?\nAnswer: -254.81062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*v = 16, b + b + 4 = -2*v. Suppose 168 = 3*f + 5*p, 22 = 5*f + b*p - 258. Calculate the greatest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3456643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 22 = 10. Let v be 76 + (0 - (h - -3)). Is 11 a factor of 1716\/v + (-4)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -17*k**5\/20 + 31*k**3\/3 + 2*k**2 - 1. Find the first derivative of r(c) wrt c.\nAnswer: -102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmvvhag. Give prob of sequence avv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7652194 to the power of 1\/2, to the nearest integer?\nAnswer: 2766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6342 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: Calculate ((-23 + (-42357)\/(-1841))*(-10 + 6))\/4.\nAnswer: -2\/263","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 4:36 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 781411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32213\/80570 + -3\/16114. Sort q, -217.91, -2.\nAnswer: -217.91, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/1029 and 101\/318.\nAnswer: 109074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41*i**3*s**2 - 67465*i**2*j*s - 4*j*s**2 - 3*j*s - 181*j - 2*s - 11 wrt i?\nAnswer: 123*i**2*s**2 - 134930*i*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y + 53. Determine s(-20).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*h = 58*h + 56. Solve -5*w = 3*g - 1, -5*w - 6 - h = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -7 + (-27863)\/1122?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11 + 7*m + 13 - 19. Let l(z) = z + 1. Give 3*c(a) - 15*l(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/12728 and 99\/4108.\nAnswer: 13071656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 605596 = 204*d + 10124950 + 679014. What is d rounded to the nearest 1000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -10578\nAnswer: -2115.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 203 - 3691\/18. What is the common denominator of u and (106\/72)\/(6\/(-12))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -249, -4, -5 in descending order.\nAnswer: -4, -5, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1 (c) 3 (d) 1\/6 (e) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 + 157 + 255)*(-x + 1 - 1) + 0*x - 1 + x - 4.\nAnswer: -471*x - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 65?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**4\/6 - 3*v - 1. Let x(t) = -13*t**2. Give m(x(d)).\nAnswer: 338*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 300 = -3*j, 3 - 503 = -5*j - 3*p. Which is bigger: j or 92?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 9:00 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s + 16. Let q be u(3). Let w = 0.082 + -0.082. Let v be -4 - (3 - 415\/55). What is the third biggest value in w, v, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 6:22 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 minutes after 1:27 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let q be -20*282\/((-55)\/20 - 1). Let w = -454 + q. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.04, -4937, -4, -19?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1. Let z = 0.2 - 1.2. Let d = -3.2 + 3. What is the closest to h in z, -1\/3, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 189*k**4 + 34.\nAnswer: 756*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhjjjjcxhhxc. What is prob of sequence ccxc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*f + 126*f - 598*f in the form t + o*f and give o.\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/59, 1\/4, -0.5, -1\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-245)\/(-24) + 4 + -8 and -49\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**5 + 24522*r**4\/7 - 671007*r**3\/7 - 2030748*r**2 + 19160100*r\/7 - 4298400\/7 = 0. Calculate r.\nAnswer: -1194, -15, 2\/7, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3255a1 (base 12) to base 8\nAnswer: -3025411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3216, -6737, -10258, -13779?\nAnswer: -17300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 509 - 507. Suppose 24382 = 2*g - r, x*g + 3*r - 14304 - 10094 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2 - 44*p + 195 = 0. Calculate p.\nAnswer: 5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 6 + 0*p**3 - 2*p**2 + 0*p + 1\/30*p**5 - 1\/24*p**4 + 1\/60*p**6. Let g(a) be the second derivative of j(a). Calculate g(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/49150 and -87\/13762?\nAnswer: 344050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*x - 623 = -13662 - 1361 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2.7. Let p = 3.1 + -0.1. Let k = 0.12 + -4.12. Which is the nearest to 2? (a) k (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxpphxpxp. Give prob of picking 2 p and 2 x.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = d - 5, 2*d + 3 = -d + 3*g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-152))\/(65\/(-6175))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 5. Let c be f(4). Let m be 782\/(-1200) + (-14)\/c. Let p = 1103\/200 - m. Calculate the common denominator of p and -75\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29070 divided by -171.\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5526636.89 and 1472.\nAnswer: -5525164.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -8. Find the common denominator of (-303)\/24*(0 + y) and 115\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6163.046 - 6158. Let d = v + -0.046. Let k = -9\/2 + 19\/4. Is d at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, a: 1, z: 8, h: 1, n: 1, i: 2}. What is prob of sequence aihh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*q - 3 = 41*q. Suppose -q*s - 2*s - 20 = 0, 4*b + s = -20. Let i be 2\/(1\/2 - 1). Is i less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (1 + 9)) + (-11 - -17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.5, -145\/251?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/80 + 3*g**4\/16 - 9*g**3\/8 + 27*g**2\/8 + 12*g. What is h in o(h) = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38230009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4067 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-2 + 1)*-21. Let h be b\/(-1) + -1 + 0. Let c be (2 - (-34)\/(-14)) + 5076\/84. Calculate the greatest common divisor of c and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c499 (base 15) to base 14.\nAnswer: 506b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(21\/9)*5. Let z be (-2)\/4*11*6. Let u = q - z. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343) + (sqrt(343) - (-1 + sqrt(343))))*2 + -2 + -2*sqrt(343))*2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 53 + 72 - 167 + 4*c. Let p be u(11). Solve 0 = p*x - k + 2*k, -5*x = -k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 58037322.\nAnswer: -5\/58037322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -15*h**3 + 7*h**2 + 25. Let m(z) = 8*z**3 - 4*z**2 - 12. Calculate -4*f(i) - 7*m(i).\nAnswer: 4*i**3 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**7\/1365 + w**6\/780 - 68*w**2 - 29. Let b(x) be the second derivative of j(x). Solve b(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1819 is divided by 881.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1\/(-11)*-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 1565 = 1532 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 993, -44, 5, 4 in increasing order.\nAnswer: -44, 4, 5, 993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooxbbxbrxologro. Give prob of sequence lo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -724857187*i**2*l**2 + 5*i*l**2 + 8014554*i*l + l wrt i.\nAnswer: -1449714374*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000040760576 to 7 dps.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 0*n**2 + 0 + 70*n + 23\/12*n**4 - 11*n**3. What is the second derivative of w(h) wrt h?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -145 - 12. Let y = 157.00000918 + h. Round y to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17632382279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2565 + -1785. Suppose a + 9*a = b. What is the greatest common factor of a and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 78*d**2 + 6*d - 3. Let c be x(2). Let s = 197 - c. Let n be 6\/(-14) - s\/28. Solve r + 5*g + 20 = 0, r - n*r + 4*g + 16 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4542, 4509, 4470, 4425, 4374, 4317?\nAnswer: 4254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*k + 27 - 60*k + 247*k - 61*k - 71*k.\nAnswer: -8*k + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8515163071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2323*p**3*q**2*t**2 - 9*p**3*q**2 + 2*p**2*t - 19*p*q**2*t**2 + 11*p*q**2*t + q**2*t**2 - 2 wrt p?\nAnswer: 13938*q**2*t**2 - 54*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84319 is divided by 1110.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/24)\/(-1) - (15785\/492 + -46)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -100 - -4 - (-10 - ((-8 - -17) + -29))\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006851002 rounded to four dps?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - s**2 - 160*s**3 + 3 + 176*s**3 as z*s**3 + u*s**2 + y*s + c and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 386467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 70. Let p be (9\/(-3) - -3)\/1. Let i be z(p). What are the prime factors of (1 + 0)\/(2\/i)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1130, 3086, 5830, 9350, 13634, 18670, 24446, 30950?\nAnswer: 38170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 2 - -49 - (8 - 1 - (-71 + 81))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - k**2 + 2*k - 4. Let r be d(0). Let t = 8 - -4. Let n be (-10)\/t + (-2)\/(-3). What is the biggest value in n, r, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 11:45 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2350.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q - 13. Give j(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 4. Suppose 0*n = g*n + 3. Let s = -65 - -65. Which is the second biggest value? (a) 1 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 232215217 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x + 0*x**2 + x**2 - 3 + 6. Let b be 7\/(14\/3)*4. What is the units digit of m(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -132*j**5\/5 + 720*j + 2010. What is the first derivative of d(k) wrt k?\nAnswer: -528*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-23 + 2 - -18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z. Let p(h) = 1251*h. Determine b(p(x)).\nAnswer: 1251*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 2*j**2 + j - 1. Let z(i) = i**2 + 10*i - 2. Let r be z(-10). What is b(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i = -932. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, q: 7}. Give prob of picking 2 w and 1 q.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 6*d**2 - 1. Suppose 10*p = 11*p - 38. Let y = -32 + p. Calculate m(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 28 = f - 2*y, 0 = 3*f - 2*y - 14. Solve -f*b - 188 = 45*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 8\/3 + 3\/9. Solve 1 = 2*n + 3*a, 0 = -o*n - 2*a - 1 - 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2518938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -583.5, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 1432354?\nAnswer: 1432355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 39 = -2*t - 14*l, -60 = -3*t - 3*l. Solve t*a = 2 + 145 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-50)*125\/(-200). Which is the nearest to -1\/3? (a) 2 (b) 1 (c) n (d) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1218 = r + 3*y - 6*y, -11018 = -9*r - y. Is r a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.019 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.289 or -0.043?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3886*f + 234. Let t be 10\/(-5) + 22 - (12 - 6). Let o be i(t). What is o rounded to the nearest one thousand?\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6 (b) 3 (c) -0.4 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -30*a**2 - 1651*a - 57. Calculate t(-55).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 69.8?\nAnswer: -70.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.1, -2, 0.005, 4, -47?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3466047 to the nearest integer?\nAnswer: 1862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25655 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97786*n**2 - 1 - 105*n**3 + 336*n**3 + 97773*n**2 to the form y + f*n**2 + o*n + p*n**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -325 - 3*x**2 + 324 + 6*x**2 - 35*x**3 + 0*x**4 - 3*x**4 as y*x**2 + s + o*x**3 + c*x**4 + a*x and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 + 96. Let q = -127 + t. What are the prime factors of q?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25478361 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: Convert -15 (base 11) to base 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + g**2 + 2)*(-g**3 + 2*g - 2*g) + g**5 - g**5 + 4*g**5 - 5*g**5 + 0*g**5 + 3*g**5.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -1. Let r be 3 + z - 2\/(-1). What is the second derivative of r*q - q + q**2 - 2*q**2 wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * -0.182.\nAnswer: -2.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217 = -10*h + 187 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -462 + 841\/2. Let u = 3\/2551 + 303509\/51020. Find the common denominator of u and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -29*i + 24*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1550\/8201 or 0?\nAnswer: -1550\/8201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3722.01 + 3749. Let o = m - -0.01. Do 3 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -921 - -0.097?\nAnswer: -920.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 5*r**2 + 5. Let t be i(-5). Suppose t = n - 2*n, -4*m - 34 = -2*n. Let o = -8 - m. Solve -25 = 2*d + o*g, 2*d - 2 = 3*g + 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1687?\nAnswer: 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3149, 3146, 3143, 3140, 3137?\nAnswer: 3134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and -0.18?\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 226043939 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*b + 3*y, -4*y + 4 = 3*b + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -27. Let t = m - -4. Let b be t*1 + -1 + 2. What is the greatest common factor of 39 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 170\/(-850)*(-15)\/(-24)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*w**3 + 70*w**3 - 28*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(sqrt(272) - -3*sqrt(272)) - (sqrt(119)\/(sqrt(14)\/sqrt(2)) + -2 + sqrt(17) + 4))*5.\nAnswer: -50 + 1550*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + i - 41 = 4*w, 0 = -4*w - i - 67. Suppose 14*q = 13*q + 35. Let d = q + w. Calculate the highest common factor of 34 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 (base 8) in base 3?\nAnswer: -11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 949666 and 9436.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, o: 2, x: 1, z: 10}. What is prob of sequence zz?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (52\/(-130))\/((-38)\/10). Which is the second smallest value? (a) y (b) -9 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.961 + -1. Let r = o + 0.03899979. Round r to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.65 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 28 + 68. Let b(w) = 11*w + 3. Let n be b(3). Calculate the remainder when 53 is divided by (n\/v)\/(4\/20).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1051 = 281. Round j to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 69900*y**2 - 489153*y.\nAnswer: -3*y*(y - 23293)*(y - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 h, and 1 k when four letters picked without replacement from {i: 1, h: 2, z: 4, l: 4, k: 3, e: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103008 and 60320.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6604831, -6604827, -6604823?\n\"Answer: 4*d - 6604835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3 - 6) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -12394651.\nAnswer: 5\/12394651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l + 212. Let o = 628 + -697. Let r = l - o. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 17 = 291. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, -34, -64, -92, -118, -142?\n\"Answer: s**2 - 35*s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (51\/2)\/(6\/220)?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**8\/252 + 8*s**7\/7 + 4226*s**6\/45 + 704*s**5 + 15488*s**4\/9 - s**2 - 479. Factor r(v).\nAnswer: 4*v*(v + 2)**2*(v + 88)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 15.36268ml?\nAnswer: 0.01536268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/137 (b) -5 (c) -11 (d) 0.3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j + 3 - 3)*(-1 + 0 + 0)*(4 - 4 + 5*j + (-1 + 2 + 1)*(j + 2 - 2)) as l*j**2 + p*j + q and give l.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r + 257*r**2 - 251*r**2 - 25*r to the form l*r + i + o*r**2 and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1446, -1, 1\/3, -1\/2, -3 in increasing order.\nAnswer: -1446, -3, -1, -1\/2, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*x*y - 346191*c**3*x + 3*c**2*x*y + 2*c*x*y + 207*c*y - 4*c - 1365*x wrt c?\nAnswer: 6*c*x*y - 2077146*c*x + 6*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-18.709392.\nAnswer: -3.7418784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 + -45. Suppose -n + 7 = -g, 3*n - g + 8 = b. Solve n*d - 20 = -4*i - i, 4*i - 33 = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 589 - 307. Let y = z + -277. Let r(j) = -2*j - 4. Let n(i) = 3*i + 6. Calculate y*n(m) + 8*r(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 + 1 - 3*c - c**4 + 178*c**2 - 178*c**2 to the form k*c**4 + l + j*c + a*c**2 + f*c**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 14 - 0) + 79 + -15\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m**3 - 146307*m**2 - 4106784*m - 680400 = 0. What is m?\nAnswer: -8100, -28, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 12*a**2. Let f(u) = -u**2. What is j(f(b))?\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 7, j: 6, p: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2 - 19*n - 9. Let l be f(-6). Let q = l - -3. Suppose -5*a + 10 - 5 = q. Let w(u) = -5*u**2 - 1. What is w(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.523268143 rounded to 5 dps?\nAnswer: 1.52327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52756 is divided by 11596?\nAnswer: 6372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4175767?\nAnswer: 337, 12391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/13 + 62\/(-403))\/((-10)\/(-4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 270040986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*a + 474*a + 85*a + 118*a - 765*a - 3*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 84*z - 298. Let y(m) = -67*m + 299. What is -4*i(j) - 5*y(j)?\nAnswer: -j - 303","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express v - 271 - 397 - 270 - 327 + 38*v**2 + 1032 in the form y + k*v**2 + z*v and give y.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7985 + 7985 - 2*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -5*m**2 + m - 35. Suppose -6*s + 19 - 25 = 0. Calculate l(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42258 is divided by 13406.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-14))**(-6)\/(u**19*(u\/(u\/((u*u**(3\/14)*u)\/u)*u))\/u) assuming u is positive.\nAnswer: u**(921\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119*s - 22 + 22)*(3*s - 5*s + 4*s) - 6*s**2 + 14*s - 2*s**2 - 12*s.\nAnswer: -246*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/5, 0.07492, -0.3, -0.4 in ascending order.\nAnswer: -0.4, -0.3, 0.07492, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 97861 in decreasing order.\nAnswer: 97861, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + 1 + (sqrt(3) - sqrt(300))).\nAnswer: -5 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 5*t + t**2 + 5*t.\nAnswer: t**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 18073751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-9)\/3))\/(6\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10005.66 milliseconds to minutes.\nAnswer: 0.166761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.26 - 0.16. Which is the nearest to s? (a) 1\/3 (b) 0.2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21199*f**5 - 19*f**4 + 2*f**3 - 92170572*f.\nAnswer: -423980*f**3 - 228*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 219*z**2\/2 + 895*z - 899. What is the first derivative of b(j) wrt j?\nAnswer: 219","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 4. Let t be q(0). Let c(o) = -55*o**2 + 3246*o - 60. Let u be c(59). Which is greater: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -322, -474, -620, -760?\nAnswer: -894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -959, -958, -955, -950, -943, -934, -923?\n\"Answer: k**2 - 2*k - 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 1284 = 4*b, -467 + 157 = -b - 2*i. Calculate the remainder when b is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 7*q**2 - 4*q - 5. Let c be n(7). Let k be c\/(-18) + (-1)\/(-2). Let u = -17.731 - -17.631. What is the third biggest value in u, k, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.257 + 17.343. Let d = 17.3 - o. Which is the third smallest value? (a) -5 (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*x + x - 93, -4*x + 64 = 2*b. Suppose 0*p = 3*y - 4*p - b, 2*y + p - 33 = 0. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 8:02 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1979*o + 1966*o = -5018. Calculate the remainder when o is divided by 128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1441112446?\nAnswer: 2, 19867, 36269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -785 from 2.32.\nAnswer: 787.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 - 13*y**2 + y + 6. Let z be c(6). Calculate the remainder when 17 is divided by (z\/3)\/(1 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 9*i**3 - i**2 + 19*i + 7. Let r(m) = -5*m**3 + m**2 - 10*m - 4. Let x(q) = -4*b(q) - 7*r(q). List the prime factors of x(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 308 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 19679*j + 78725. Determine k(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12097015.\nAnswer: 5, 7, 19, 18191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 8*g**2 + 3*g - 4. Is w(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 47007*d - 46990*d - 58 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4015560 and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i**3 - 8*i**2 + 8*i - 1. Let v(k) = -23*k**3 + 23*k**2 - 23*k + 3. Calculate 17*d(t) + 6*v(t).\nAnswer: -2*t**3 + 2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -33 - (-425)\/65?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 23*l**2 + 142*l - 23. Let x be o(28). Let k = -50 - -105. What is the highest common factor of x and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 258 and 814893?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5996 + -0.6. Round s to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105 divided by -21\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33632 + -71670337.\nAnswer: -71636705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1.01. Let z = 0.01 - a. Let g = -7 + 10. Put -3\/2, g, z in descending order.\nAnswer: g, -3\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9834188*b**2 - 25235546*b.\nAnswer: 19668376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73322081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 371 (b) -29270 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214379.1 tonnes to milligrams.\nAnswer: 214379100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10010110011101011010100?\nAnswer: 10010110011101011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6966 by 81.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 27*z**2 + 7697. Let u(a) = -2*a + 10. What is f(u(l))?\nAnswer: 108*l**2 - 1080*l + 10397","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b02 (base 16) in base 13?\nAnswer: 501c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9*k**3 + 2\/3*k**2 + 0*k - 8\/9 = 0 for k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21064 + 1027*k - 2966*k**2 + 21063 - 42123 wrt k.\nAnswer: -5932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2639929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 497 = -11*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r + 55. Give h(-24).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**3\/3 + c**2\/2 - 4*c + 1. Let r(y) = y**2 + 4*y + 3. Let h = 9 - 12. Let q be r(h). Calculate o(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19376 and 1540.\nAnswer: 1065680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*b + 13. Suppose 4*u + 36 = -b*f, -2*u - 3*f = 2*f + 9. Let a = -8 - u. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/42)\/((-3)\/2)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**3 + 720*m**2 - 228500*m - 2352000 = 0.\nAnswer: -294, -10, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*q + 2*f, -f - 31 = -5*q + 3*f. Suppose -6*i = -q*w - 2*i + 3, -4*w + 5 = -5*i. Solve 2*a + 1 = w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 76*d - 359. Calculate s(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 4*y = -122317 + 122375, 3*y - 26 = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -13, -7\/9?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 64*k + 19. Give m(-3).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24051150?\nAnswer: 2, 3, 5, 19, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-8)*-2*-60. Let x(s) be the first derivative of 17*s**4\/4 + s**3\/3 - 10. Let u be x(1). What is the highest common factor of u and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13817313 to the power of 1\/2, to the nearest integer?\nAnswer: 3717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -38*g**3 - 4*g**2 + 4*g + 4. Let k(n) = -38*n**3 - 5*n**2 + 6*n + 4. Let a(i) = -2*k(i) + 3*w(i). What is the third derivative of a(l) wrt l?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*v - 11, 0 = -3*b - 4*v + 21 + 10. Suppose -b*w + 10 = -15. What is the smallest common multiple of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q - 13. What is x(-6)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.186 - 2.01. Round i to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2825 + -2825. Is g smaller than -1\/2004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -13\/281?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g*l**3*p*s + 136*g*s + 6*g + 435*l**3*p**3 + l**3*p**2 - 331*p**3*s wrt s?\nAnswer: 2*g*l**3*p + 136*g - 331*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 28, 1, -1, -17?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z - 1219 + 1237 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84556 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -11. Let m = 5 - o. Suppose -2 = m*b - 4. Which is bigger: b or -1\/15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, o: 3, e: 6, r: 1, w: 3}. Give prob of sequence oowo.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 84263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, 49, 1, -49, 0.3, -0.5, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(85)\/(sqrt(35)\/sqrt(7)))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 257, 1000, 2235, 3962, 6181?\n\"Answer: 246*x**2 + 5*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -0.5 (c) 0 (d) 1.2 (e) -45.401\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 56 - (-5)\/(15\/24). Let s be ((-3)\/((-12)\/1))\/((-296)\/x). Which is the third smallest value? (a) -0.5 (b) s (c) 1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2203 (base 10) to base 5\nAnswer: 32303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2. Let s(p) = 921*p. Give l(s(q)).\nAnswer: 1696482*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4)**18 assuming f is positive.\nAnswer: f**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21361 is divided by 441?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -10*i**3\/3 + 91. Let o(p) = 3*p**2 + p. Let s be o(-1). Let q(m) = -2*m + s*m + m. Give q(h(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.3 + -75.3. Let q = i - 4. Let r = 64.73 + q. What is r rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313366 is divided by 112?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**2 - 8*d + 11. Is o(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -3*a + 5*f + 30, 0 = 10*a + 2239*f - 2238*f - 45 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1141936017 to the nearest integer?\nAnswer: 33793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o + 53 - 8 - 1 - 21*o + 6 in the form a + j*o and give a.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b15 - -e5?\nAnswer: -a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*m - 106 = 0, 3*q + 71 = 5*q - 3*m. Let g = q - 26. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67388 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3721, 1, 4, -5.\nAnswer: -3721, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -84*l**3 + 2*l + 1. Is j(-1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgtg when four letters picked without replacement from {g: 3, w: 4, s: 1, t: 1, a: 4}?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -388649, -388648, -388647, -388646, -388645, -388644?\n\"Answer: f - 388650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z - 16*z - 2772 = -22*z. Solve -11*n + 22*n = -z for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52674.8 * -0.093\nAnswer: -4898.7564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 20756 and -7.5339.\nAnswer: 20748.4661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 - 2*p**2 - 3*p - 4. Let j be z(3). Differentiate 2*d**2 - j*d**3 - 34 + 55*d**3 - 6*d**2 with respect to d.\nAnswer: 15*d**2 - 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 494, 978, 1454, 1922, 2382, 2834, 3278?\n\"Answer: -4*h**2 + 496*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -190009 and -190932 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j**3 - 2*j + 1. Let l be o(1). Let b(x) = -x**2 - 9*x - 8. Let r be b(l). Suppose y - 12 = -r*y. What is the remainder when 33 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10070 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 30, -4, 2\/15 in decreasing order.\nAnswer: 30, 2\/15, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/28*2)\/(((-150)\/105)\/5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -46\/35 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 7020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -10*w**3 + w**2. Let f(i) = -5*i + 4*i - 4 + i**3 + 2*i**2 + 2*i**2. Let g be f(-4). Suppose 2*b + g = 2. Determine k(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16860\/1739 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.3591 - -7269?\nAnswer: 7227.6409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2120*s**2 + 6030*s**2 + 189612*s**2 + 223082*s**2.\nAnswer: 416604*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73553194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -37781*y + 3287. Is o(-39) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1439*m**2 + 799*m**2 - 2598*m**2)*(-9*m**2 + 2*m**2 - m**2) in the form d*m**3 + j*m + u*m**4 + w*m**2 + l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - -2.3. Let x = -122.893 - 0.107. Let f = x - -123. What is the nearest to r in 0.4, -1\/9, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12 - 12\/(-1 - -5). Let i = -4 - a. Let j = -1 - -3. What is the least common multiple of i and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22288963223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1330446959 and 0.1?\nAnswer: 133044695.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -s + 19. Let m = 2 + 19. Solve -4*o - 3*f - s = -0*f, -5*f - m = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 1924.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -273 - -282. Suppose i*u - 51 - 12 = 0. Solve 3*m - 4*h = 5*m + 6, 0 = -2*m - 3*h - u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 0) + 2 - 1. Let q be (164 + f)\/(2 - 3). Let s = 174 - q. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3. Suppose 5*w + 2*r - 1662 = 0, k*w - 3*r - 661 = -2*w. Suppose w = p + 3*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 133, 142, 149, 154, 157?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 146579, 292786, 438993, 585200, 731407, 877614?\n\"Answer: 146207*f + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 27, 0 in decreasing order.\nAnswer: 47, 27, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/v)\/v*v**6\/v*v\/((v**(-1\/2)*v*v*v*v)\/v)*v\/(v**(-1\/3)*v) assuming v is positive.\nAnswer: v**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k. Let l(v) = -7*v**2 - 9*v. Give l(o(y)).\nAnswer: -28*y**2 + 18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o = -2*y - 24*o + 11*o - 1, 28 = 4*y + 4*o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**4\/3 + 2*f**3\/3 + 7*f**2\/3 - 8*f\/3 - 4 = 0?\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -4*s, -25601*g + 25584*g - 5*s = 43 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 35486\/(-143) - 4\/(-26). Let t = 1740\/7 + r. Solve 8\/7*m**3 - 2*m**2 + 0 + 8\/7*m**4 + t*m = 0 for m.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, -10, -19, -42, -85, -154, -255?\n\"Answer: -a**3 + 2*a**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 54696.04.\nAnswer: -54696.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2225959972 take away 4?\nAnswer: 2225959968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2857 (b) -0.62 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 7:56 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -q - 2*f, -4*q = -f - 10 - 13. Find the first derivative of q + 15*x**4 - 2 + 5 - 5 wrt x.\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -29*v**2\/2 - 3*v + 7777. Determine u(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.7 * -508.\nAnswer: -9499.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4*(-5 + sqrt(19) + -1) - (sqrt(931)*3 + -3)) + 0).\nAnswer: -125*sqrt(19) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2175 + -1482. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -19 + -108 - (22 + -17)) + 6.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 1. Let q = -15 - -19. Suppose -2*c + 3*p + 2*p = -4, 0 = q*c - 2*p - 8. Calculate l(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*n**2 + 70*n**2 - 28*n**2 + n as h + c*n**2 + g*n and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8505100, -17010199, -25515298?\n\"Answer: -8505099*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 4*z - 1)*(-3*z - 2*z**2 + 3*z) + 4*z**3 - z**2 + z**3 + 13*z**3)*(-6*z + 7*z**2 + 6*z - 2*z).\nAnswer: 70*z**5 - 27*z**4 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*u - 8 = 316*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -333744 by -4908.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = 1645*w - 1677*w + 116 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0307957 rounded to 4 decimal places?\nAnswer: 0.0308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -248, -392, -628, -962, -1400, -1948, -2612, -3398?\n\"Answer: -h**3 - 40*h**2 - 17*h - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2504364 (base 8) to base 7.\nAnswer: -5603613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7588 divided by 2?\nAnswer: 3794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 83139 - 83143 - 2*t**2. Let z(o) = 4*o. Determine m(z(p)).\nAnswer: -16*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/2 + (-6)\/15. Let r = -2207\/9724 - 56\/2431. Which is the nearest to g? (a) -2\/5 (b) -0.2 (c) r (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 = 5*l, 0 = -4*l + 5*f - 16 - 2. Let j be (-2)\/(-5) + (-1904)\/(-40). Suppose -2*h - 50 = -j. Put 0, h, l in descending order.\nAnswer: 0, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.12, 1, -3 in ascending order.\nAnswer: -3, -0.3, -0.12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/7, 2\/11, 0.4, 0.2 in increasing order.\nAnswer: 2\/11, 0.2, 0.4, 13\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.165 less than -0.07375?\nAnswer: -6.23875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + a**2 - a + 1. Let l(q) = -2*q**2 - 4*q - 3. What is l(f) + 2*v(f)?\nAnswer: -2*f**3 - 6*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*b + o, 43*o = b + 42*o - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**5 - 8472*f**4 - 16956*f**3 - 8480*f**2.\nAnswer: 4*f**2*(f - 2120)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2 - 4 + 5 - 3 + 3 - 4 + 2 + (0 + 3 - 1)*(0 + 4 - 3) + 2 - 2 + 2 + 3 + 0 + 0)*(3*d**3 + 5*d**3 - 4*d**3).\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**2 + 2*c**2 + 4*c**2)*(1 - 1 + c) + 0 + 4*c**3 + 0 + (-4*c + 4*c - 3*c**2)*(-1 + 1 + 4*c) to the form l + i*c**2 + s*c + m*c**3 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 7 + 277*j + 4.\nAnswer: 277*j + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003023305776 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i. Let u(x) = -15397*x. Determine u(n(r)).\nAnswer: -15397*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.04+-41090710\nAnswer: -41090710.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0366 + 0.\nAnswer: -0.0366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3033 divided by -72173.\nAnswer: -3033\/72173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7197 + 8477. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 + -19.8. Sort -3, t, -5 in descending order.\nAnswer: -3, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 16142504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20079444 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -503 - ((-322)\/84 - (-1)\/(-6)). Let a = k + 833. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -153\/70 - -81\/14. Solve -6\/5*l**4 + 1\/5*l**3 - 3*l + 2\/5 + y*l**2 = 0 for l.\nAnswer: -2, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312522 is divided by 463?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1018910*d**4 - 1009641 wrt d.\nAnswer: 4075640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - w**2 + 2*w. Let y be o(3). Suppose 0 = 4*j - y - 0. Let n be (-6)\/1*(-2)\/j. Let x(m) = m - 1. What is x(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2. Let t be x(-2). Suppose 4*n - 3*g - 17 = 0, -4*n + 5 = g - 0. Let j = 0 + n. Put 0, j, t in decreasing order.\nAnswer: t, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 149298 and 1169.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -3\/28 (b) -2\/13 (c) 5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6731 and 11048698.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 + 8*k**2 - 3*k**2 + 2*k - 2*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/(-4))\/((-57)\/(-57532)).\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (76\/(-3) + -2)*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -183.36 - -183.45. Let g = 7.88 + -8. Which is bigger: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60\/1591 - -1471\/3182. Let d(f) be the third derivative of f**4\/24 + f**3\/2 + f**2. Let x be d(-2). Put x, z, -5 in decreasing order.\nAnswer: x, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 123*b + 3. Let o be q(1). Let a be (-14)\/o - 452\/(-18). What is the derivative of -2*l**4 - 2 - 14 + a + 0 wrt l?\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33870*1.\nAnswer: -33870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010100210 (base 3) to base 8.\nAnswer: -121531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (1 - (30 + -40)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 + 17*o**2 - 14*o + 129. Give q(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 - d + d + (2*d**2 + 0*d**2 - 3*d**2)*(2 + 3 - 6) - 13*d**2 - 6*d**2 + 4*d**2 to the form i*d**2 + f + y*d and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m - 12 + 6*m + 0 - 2639*m**2 + 2638*m**2 + 2 to the form b + z*m**2 + n*m and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 511 = -5*b - 3*k, 2*k = 4*b - 410. Let x = b + -168. What is the remainder when 16 is divided by ((-21)\/63)\/(2\/x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 319715 and 10870310?\nAnswer: 10870310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 74*f**3 + 2 + 0*f - 4*f - f**2 - 73*f**3. What is the hundreds digit of c(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42276 (base 10) to base 12\nAnswer: -20570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31514289, -31514269, -31514249, -31514229, -31514209, -31514189?\n\"Answer: 20*v - 31514309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -7.6. Sort 0.4, 5, r in ascending order.\nAnswer: r, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6132 + 5968. Which is smaller: u or -165?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 68. Let y = -17 - m. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 + 0 = -16*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 7:42 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 1523*h**4\/4 + 346*h**3\/3 - h**2 + 859. Find the third derivative of g(x) wrt x.\nAnswer: 9138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 411 - 419. Let g be (-5 + -1)*(x\/12)\/2. Solve -5 = g*w - u, 7*w = 4*w + 4*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a**3 + 6*a**2 + 4*a - 4. Let i = -14 - -13. Let n(r) = -r**3 + r**2 + r - 1. Let g(t) = i*x(t) + 4*n(t). Find the third derivative of g(f) wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + (-3 + sqrt(637) - sqrt(637)) + -5 + 5 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = a + 5*t, a = 43*t - 44*t - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 1735 = -1065. Suppose -3*v - 169 + k = 0. Solve v*l = 5*h + 17, l = -4*l - h + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u - 13 = 3*f, 7 = 4*u + 3*f. Let l(a) = -a**3 - 8*a**2 + 8*a - 5. Let n be l(-9). Suppose -b = n*b. Solve -u*w - 10 + 22 = b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27140164 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 3:43 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -810*h**5 - 175*h**2.\nAnswer: -48600*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3692833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**3 - 7*m**2 - 9. Let o(r) = r**3 + 4*r**2 + 4. Let p(q) = 7*o(q) + 3*s(q). Let k be p(-7). List the prime factors of (k - -12)\/(2\/2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvvzzvvzvvzwvvvzvz. What is prob of sequence wwv?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -545 or -548?\nAnswer: -545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-56))\/((-81)\/6237)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121286 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.006, -5, -0.42, 1\/4, -30?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 26\/5 of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 3 + 3)*(-7 + 1 + 39).\nAnswer: 33*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132788*g + 66404*g + 66383*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57868 rounded to three dps?\nAnswer: 0.579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 421731, 843456, 1265181, 1686906, 2108631?\nAnswer: 2530356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11571 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13114403 is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -479 - -808. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -l - 7*g + 3*g, 174 = 2*l + 2*g. List the prime factors of l.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -21, -55, -123, -237?\n\"Answer: -2*s**3 + s**2 - s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 404970?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(660)\/(sqrt(12)*-1))\/(sqrt(500) + -2*sqrt(500)).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 7, 10, 4, 99, -44, -5 in descending order.\nAnswer: 99, 11, 10, 7, 4, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 90166039*b**4 + 92060668.\nAnswer: 360664156*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 0.59.\nAnswer: 2.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 100237.41 to the nearest 100.\nAnswer: 100200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -1 - 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 4658200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swwws. Give prob of picking 1 w and 1 s.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 6. What is r(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50944 + 53482 = -282*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4)**(-44)*(d*d*d**6*d)\/(d*d**(-8)) assuming d is positive.\nAnswer: d**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -56) + -28 + -22?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32176, 64246, 96316, 128386, 160456, 192526?\nAnswer: 224596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.44? (a) -5 (b) -3\/5 (c) 1\/2 (d) 7 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 97*w - 2. Suppose -2*c + 10 = 2*x, -4*x - 5*c = -6*x - 18. Is 60 a factor of m(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*k - 3*t = -147*k + 37, -91 = 2*k + 9*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -74, -139, -228, -347, -502, -699?\nAnswer: -944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -4087029.13\nAnswer: -4087029.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 204.7 - 8.7. Let h = a - 196.00595. What is h rounded to four dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4\/2 - 3214*o**3 + 134567*o**2\/2 - 64070*o = 0?\nAnswer: 0, 1, 20, 6407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 182 = 742. Solve -27*g = 58 + p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323 (base 6) to base 9.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121.14 + 116.14. Sort 3, -0.1, f, 11 in decreasing order.\nAnswer: 11, 3, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 15*m - 10665. Calculate x(-96).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-8)\/2)\/3. Let g be -1 + l\/(-1)*-1. Solve g*n + n - 1 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p - 2. Suppose -2 = -2*y + y. Let c = 3 + -1. Let l be c - (-4)\/4*y. Determine q(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167 - -409. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/14 and -76\/585.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) 0.3 (b) 7 (c) -5 (d) -36705\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1482)\/(-273) - ((-15 - -20) + 1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1256506244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17353?\nAnswer: 7, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 32*t**2 - t - 2. Let q(g) = 48*g**2 - 2*g - 3. Let k(b) = -5*q(b) + 8*x(b). Is k(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 4*y**2 + 2. Let t(d) = -d**3 + 3*d**2 - 2. Suppose -43*f + 38*f = -4*c + 40, -13 = 2*f - c. Determine f*t(m) - 3*b(m).\nAnswer: m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 3*z - 11067 = 0. Suppose -26*a = z - 12009. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 74\/10 + -3 - (-11)\/(22\/(-8)). Solve 0 + 0*h**3 + c*h**4 - 2\/5*h**2 + 1\/5*h - 1\/5*h**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 42765390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 407*g**3\/6 - 31*g**2\/2 - 14*g. Is l(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 6*o**3 - 18*o + 4. Differentiate m(p) with respect to p.\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21755a (base 14) to base 2.\nAnswer: 100010100111011111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v + 9. Let f be m(-6). Let n = -41 + f. List the prime factors of (n\/10)\/(13\/(-4355)).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/1130 + -170639\/3390. Let u = m - -50. Is 0.4 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 419 in decreasing order.\nAnswer: 419, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 19, 81, 2?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.2 and -6644.\nAnswer: -61124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1042 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7339054537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -44*(8 + (-222)\/24). Suppose -n - 19 = -s. Calculate the smallest common multiple of n and 124.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/585 and 31\/643175.\nAnswer: 5788575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*p - 4*p. Solve 0 = x - 3*n - p + 9, -3*n = -12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 5*b + 14. Let g be l(7). Suppose -3*o + 4*o = g. Suppose 4*t + 4 = -o. Is -3 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and 650\/21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -27*j**5 - 3663*j**4 + 4920*j**3 - 1644*j**2 = 0?\nAnswer: -137, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**16\/w)\/w)\/w**(-9) assuming w is positive.\nAnswer: w**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.294909 grams in micrograms?\nAnswer: 4294909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(425) + 0 + 2 - (-2 + sqrt(425) + 1)) + 5 + (-2 + sqrt(425))*-1)**2.\nAnswer: -130*sqrt(17) + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6041*k - 6050*k + 342 = 0. Calculate the highest common divisor of 133 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2557 - -4126. What is the third derivative of 30*g**4 + k*g - 58*g**2 - 1569*g wrt g?\nAnswer: 720*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**5 - 3*x**4 - 7146*x**2 + 6449*x?\nAnswer: 40*x**3 - 36*x**2 - 14292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-16 + 11))\/5 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16425.999982014 + 16426. What is s rounded to seven decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/6 + (-341)\/(-66). Suppose 6*p - 62 = r*p. Let u = p + -47. Solve u = 3*w - 0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**5\/2 + 227*d**4\/2 - 897*d**3\/2 + 1117*d**2\/2 - 223*d = 0.\nAnswer: 0, 1, 2, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 10:25 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 389.1 + -150.2. Let i = l + -229. What is i rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61*l**4*q**2 - l**2*q**3 - 1456*q**3 with respect to l.\nAnswer: -244*l**3*q**2 - 2*l*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let l(g) = -g**2 + 5*g + 14. Let r be l(7). Let q be z(r). Sort 3, -2, q in ascending order.\nAnswer: -2, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-9)\/15)\/(3\/1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1664\/1092*12\/16. What is the second biggest value in i, 3\/2, -3, 11\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, -0.3, -3, 4\/5, 1, 646?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 100 + 60*s + 35 - 212 + 77.\nAnswer: -4*s**2 + 60*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63611578 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*-1*(-6)\/18. Let g(k) = 6 - 2*k + 0*k + k**a - 3 + 9*k. Let u(p) = 9*p + 29. Let m be u(-4). Give g(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 19*o**2 + 619*o + 3052. Give a(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119523 - 0.6.\nAnswer: -119523.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*y = -22, 2*f - 6*y - 38 = -y. What is the remainder when 25 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/330*6*450\/(-180)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47923343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15734*t + 8885 wrt t.\nAnswer: -15734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112 - -22?\nAnswer: 11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/(-128))\/(((-1)\/(12\/(-27)))\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -57 + 2c7?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 77029.76?\nAnswer: -77029.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*(t\/t**(-1)*t)\/t*t)\/(t\/t**5))\/(t**(-1\/4))**(-15))\/(t\/t**(-2\/13)*t*t**(-2))**(-4\/23) assuming t is positive.\nAnswer: t**(6311\/1196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.5 + -2. Let x = -373 + 378. Put 0, a, x in increasing order.\nAnswer: a, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(2) + sqrt(96)\/sqrt(3))) + sqrt(2) + -5 + sqrt(288))**2.\nAnswer: -90*sqrt(2) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123055534 (base 6) to base 11.\nAnswer: -1390609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 265079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 16 = -5*p. Suppose 4*q = -4*i + 44, -p*i = -3*i + 1. Let d**2 - d - 13*d**3 - 3*d**2 + q*d**3 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**2 + 2*x - 105. Let z(v) = -38*v + 113*v - 77*v. What is z(j(g))?\nAnswer: 8*g**2 - 4*g + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1. Let b(k) = -101 + 2*k - 100 + 207. Let n be (-4 + 5)\/((-1)\/6). Let v(u) = n*f(u) + b(u). Let a(y) = -2*y**2. What is a(v(c))?\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**3 - 5*n**2 + n + 6. Let u(s) = 5*s**3 + 9*s**2 - 2*s - 11. What is 6*u(i) + 11*y(i)?\nAnswer: -3*i**3 - i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 10952503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 10, -4*f = 5*g + 6 + 17. Let i be ((-2)\/24)\/(1\/g). Is i != 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p - 1. Let m be f(1). What is the second derivative of -m*i**3 + 0*i**3 - 3*i + 3*i**3 wrt i?\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799561 divided by 17?\nAnswer: 47033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**4\/12 + g**3\/2 + 20*g**2. Suppose -b - 2*b - 2 = 5*y, y - 18 = 4*b. Determine o(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524.1 rounded to the nearest 10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255*b - 2464 = 247*b. Which is bigger: b or 309?\nAnswer: 309","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15485962111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 6*d - 2*d)*(-85*d - 77*d + 133*d) + 3 - 3 - 2*d**2.\nAnswer: -89*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, m: 1, n: 4, o: 2, k: 3}. What is prob of picking 3 k?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18)\/8)\/(630\/30))\/((-67)\/2144)?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**(-1)*g*g*g*g**(1\/56))\/(g*(g**(4\/7)\/g*g*g*g*g*g)\/g)**(-24) assuming g is positive.\nAnswer: g**(6425\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -9*a. Suppose k = -a*k. Suppose 8 = 4*s - k*s. Solve -2*v - s*b = -20, -4*b = 3*v - 9*b + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -315459159*h**3*i**2*x + 809*h**3*i*x + 3*h**3*x - 4*h*i*x - 449*i*x wrt i.\nAnswer: -630918318*h**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.313783?\nAnswer: -0.0941349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q - 3*q - 3*q - 2 + q + 2 - 4*q + 0*q + 2*q - 2 + 2*q + 2 + 1 - 1 + q + (4*q + 4*q - 6*q)*(-2 + 5 - 1) - 5*q - q + 5*q + (4 + 2*q - 4)*(-2 + 2 + 1).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 213 = -3*z + 1125, 0 = 4*z - 3*s - 1784. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4557 divided by -1519.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5653 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-76)\/(-10) + 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 773*w**6 - 2*w**5 - 23*w**3 + 89154*w**2.\nAnswer: 92760*w**3 - 120*w**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88556772*g**2*o - 34275878*g**2 wrt o.\nAnswer: 88556772*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122 - -221011001?\nAnswer: 221012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192658, 384635, 576612, 768589, 960566, 1152543?\nAnswer: 1344520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 + -76. Let x = -53.1 + 53.2. Which is the nearest to -3? (a) 1\/3 (b) x (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d2 + 30?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 1. Suppose 2*z - 24 = 4*z - 4*f, -z + 4*f - 18 = 0. What is the remainder when (-8)\/(-6) - 4\/z is divided by q(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -14. Let z = 0.05923 + 3.27377. Let w = z + -0.333. What is the second biggest value in w, q, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8912 and 544.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 26852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 6834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 + (-82)\/(-8) + (-7377)\/(-12) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 - 621852*y + 621852*y.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12072135.\nAnswer: 3, 5, 97, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -586 and 1541.3.\nAnswer: -903201.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 33, -1, -21, 3 in decreasing order.\nAnswer: 33, 3, 1, -1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 12, -1, -34, -93, -184, -313?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 14}. What is prob of picking 1 a and 1 m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8707 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 132\/90*(-975)\/2460 - 2\/(-3). Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/15))**46 assuming l is positive.\nAnswer: l**(736\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -515332 by 6.\nAnswer: -257666\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 5*x + 3. Let k be o(-5). Let z(d) = -249*d + 19. Let n be z(k). What is the tens digit of (n\/70)\/(4\/(-30))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -112 in -6, -1.6, 117, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 603, 1217, 1831, 2445?\nAnswer: 3059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-408))\/((-9)\/12).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7005 + 11?\nAnswer: 7016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 9:32 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107780829 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1934.341355 to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-300 - -5) + (2 - (-3)\/(-1)). Let m = -591\/2 - j. Suppose 0 + 0*t**2 + m*t**4 + 1\/2*t**5 - t**3 + 0*t = 0. Calculate t.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + 2*k**4 - 3*k**4 - k**4 + 3*k**2 - 3*k**2 + (2*k - 4*k + 3*k)*(3*k**3 - 26*k**3 + k**3) + (34*k + 26*k - 23*k)*(-4*k + 2*k - 5*k**3 + 4*k**3).\nAnswer: -63*k**4 - 74*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-154)\/33*(-6)\/4. Suppose -o*r + 19 = -9. What is the tens digit of (r\/6)\/(((-20)\/1596)\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91362238 by -35398.\nAnswer: -2581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 + 1.3001004. Round t to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 + 27*o. Let t(y) = -1119*y. What is i(t(h))?\nAnswer: -3756483*h**2 - 30213*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 750 - 750.2. Let w = -4.11 + 0.11. Let z = w - 0. Which is the nearest to f? (a) 0.1 (b) z (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13288*k + 13096*k + 1296 - 858 = -1482 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 + 3 - 3*z**4 - 4 + 13*z**3 + 21*z**4 - 13*z**3 + (-z**2 + 4*z**2 - 2*z**2)*(0*z**2 - 6*z**2 + 4*z**2) + (-20*z + 9*z**3 + 20*z)*(2*z + 4*z + z).\nAnswer: 81*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213 (base 6) to base 3.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/34885488 and 103\/4360686.\nAnswer: 34885488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -15*f - 16 - 79 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -60676 - 777?\nAnswer: -61675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -12. Let u(y) = -y**2 + 2*y + 28. Suppose 0 = 3*w - 2*w. Let o be u(w). What is the greatest common divisor of c and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*w - 145, 3*w = 5*p + 81 + 4. Let z = -9 + w. Suppose -5*y + 19 = -5*a - 11, 2*y = -2*a. What is the greatest common factor of z and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.8359 and 3.4.\nAnswer: 9.64206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -13. Let z = d + 2.15. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**9\/3024 + o**8\/1344 + o**7\/504 - o**6\/144 + 19*o**4\/12 - 15*o. Let y(z) be the third derivative of f(z). Factor y(q).\nAnswer: -5*q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 10*x - 2. Let y be f(-10). Let n(t) = t + 1. Let u be n(y). Is (27 - u)\/2 - -3 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 413452 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qle when three letters picked without replacement from {r: 1, e: 1, q: 1, j: 1, l: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -80, 54, 366, 850, 1500, 2310, 3274?\n\"Answer: -t**3 + 95*t**2 - 144*t - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-4))\/(-5 - 147\/(-30)). Let q(i) = i**3 - 26*i**2 + 26*i - 18. Let k be q(h). Calculate the highest common divisor of k and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - k = -8, 3*k = 3*w - 101 + 113 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1897138701.\nAnswer: 3, 67, 1291, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 2\/47 (c) -2\/281\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -483 - -4?\nAnswer: -47e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*t*x**4 + 14*t*x**2 - 2*t + 8153*x**4 + 4*x**2 - 114 wrt x?\nAnswer: -864*t*x + 195672*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12550, -22579, -30080, -35047, -37474, -37355, -34684?\nAnswer: -29455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2. Let t(g) = -g - 4. Let z be t(0). Let o be 4\/(-14) - (-90)\/70. Let v(l) = -1. Let y(n) = n - 4. Let u(m) = o*y(m) + z*v(m). Give d(u(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/6*(-28)\/140*(-2)\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -10*m**3 + 78*m**2 + 174*m + 98. Let x(t) = t**3 + t**2 + t - 1. Let u(p) = -h(p) - 6*x(p). Factor u(w).\nAnswer: 4*(w - 23)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(-1)*h*h)\/h)\/h)\/h)**(-2\/9)\/(h*h*h**(2\/15)*h*h**(-7)) assuming h is positive.\nAnswer: h**(164\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120971?\nAnswer: 137, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.33 times -2892\nAnswer: 954.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000776768 to six dps.\nAnswer: -0.000777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 4436. Let s(f) = -2*f. Calculate t(s(l)).\nAnswer: -2*l + 4436","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -11 + 13*g + 5*g**3 - 10*g + 4*g**3 + 27*g + 21*g. What is the derivative of l(n) wrt n?\nAnswer: 54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0362726 to three decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 106*z**2 + 23*z + 188. What are the prime factors of p(-6)?\nAnswer: 2, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38.5 - 43.5. Which is the closest to -4\/3? (a) z (b) -1\/6 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02 and -7268019329.\nAnswer: -7268019328.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*(-4 - 10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, 0.5, -18, -3, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 585 and 1395?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 2 - 2 - d**2 + d + 2. Let x be p(0). Let q = x + 1. Calculate the remainder when 7 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 10*y**2 + y - 5. Let q be h(10). Suppose -q*g + 3*r + 53 = -6, r = g - 13. Let s = g - -10. Calculate the highest common factor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 17*v**2 - 75*v - 22. Calculate y(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-7)*c))\/c)\/c**(-7))\/(c**(-1\/3)*c)**(-4\/23)*((c\/(c*c**(2\/5)*c))\/c)**(27\/4)\/(c**7\/c**(-1\/2)) assuming c is positive.\nAnswer: c**(-7303\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) 2\/7 (c) 1 (d) -114 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m. Let x(g) = -15172*g**2. What is x(p(v))?\nAnswer: -546192*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -30047 minus 3?\nAnswer: -30050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and 253 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 682 and 5300886602.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103874 (base 11) to base 3.\nAnswer: 22102211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 5950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - sqrt(54)\/sqrt(3))*1)\/(sqrt(60)\/sqrt(90) - sqrt(6)) + (-4 + sqrt(192) - (sqrt(9)\/(sqrt(3) - sqrt(3)*-4 - sqrt(3)))**2).\nAnswer: -67\/16 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169\/346 + 2\/173. Let z(k) be the second derivative of -1\/3*k**3 + 0 + s*k**2 - 3*k. Find the first derivative of z(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.058878.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 288430013 + 16\/2 + -21. What is f rounded to the nearest 1000000?\nAnswer: 288000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21\/(-14))\/((-2)\/4). Differentiate -12 - 10*q**3 + 30*q**3 + 0 + b wrt q.\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0382691 to two dps.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*742\/(-336) - -1*4\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-1 + 2)*-1. Let f = 83\/18 - 9\/2. Which is bigger: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(4 + -2 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1108188 and 6.\nAnswer: 1108188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, -1, 3, 21, 59, 123, 219?\n\"Answer: x**3 - 2*x**2 - 5*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 59 + 137. What is the greatest common divisor of m and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.13404098 rounded to 1 dp?\nAnswer: 66.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/8276419 and 33\/121397.\nAnswer: 140699123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3175617 divided by 1058539\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6 = -141. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 56*z**4 + 230*z**3\/3 + 160. What is the third derivative of f(t) wrt t?\nAnswer: 1344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 8 + -8 + (-1 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74266007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14*(3\/(-6) + 1). Let a be v\/4 + (-1)\/(-4). Suppose -a*j + 19 = -j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1727.083 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-57)\/18)\/(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a day in hours?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3190682208?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 divided by -3?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/5 - 26986*f**3\/5 + 243006*f**2\/5 - 81022*f - 135020 = 0 for f.\nAnswer: -13502, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -409, 4, -4, 17 in descending order.\nAnswer: 17, 4, -4, -409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**35*((t*t**(1\/2)*t)\/t)**(-7\/6) assuming t is positive.\nAnswer: t**(-147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/663 + 217\/663. Let p(z) be the first derivative of 9*z - 3*z**2 + 3 + o*z**3. Factor p(m).\nAnswer: (m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62808689 to the power of 1\/2, to the nearest integer?\nAnswer: 7925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 106. What is the remainder when u is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y = -5*y. Solve w + y*w = -f + 3, -5*f - 3*w + 9 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 78, 84, 102, 138, 198, 288, 414?\n\"Answer: w**3 - w + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.026, 1\/5, 9.\nAnswer: -0.026, 0.1, 1\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49464, 52039, 54614, 57189?\n\"Answer: 2575*i + 46889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 397796?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5806, 5828, 5850, 5872, 5894, 5916?\n\"Answer: 22*l + 5784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 122734343*r + 86661990?\nAnswer: 122734343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 8*o - 13*o + 5*o. Calculate h(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*k**4 + 679854*k**3 - 786348219*k**2 + 673638192*k - 144324288.\nAnswer: -3*(k - 2312)**2*(7*k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*f**3 - 27*f**2 - 9*f + 3 = 0. Calculate f.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142950 is divided by 47594.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h - 45. Let o be z(20). Let s = 28 + o. Let b = -20 + s. Which is greater: 62 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, j: 1, l: 11}. What is prob of sequence sjs?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - -15?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*s - 5 + 31*s - 89 + 19 as g + j*s and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 2005355\nAnswer: 1\/2005355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 244 and 11190572?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q - 21*q**2 - 10 + 24*q**2 + q - q**2 + 0*q. Suppose a = -5, k = a + a + 4. Let n be h(k). What is the greatest common factor of n and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(187)*-2 + sqrt(187) - sqrt(187)))\/(2*sqrt(33)\/sqrt(3)) + -5.\nAnswer: -5 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 11. Let d(v) = 3. Let z(i) = 4*d(i) + n(i). Let r(m) be the second derivative of m**3\/6 - m**2\/2 - m. What is 3*r(o) + 2*z(o)?\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20452131 (base 6) to base 8\nAnswer: -2217667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -129188 + 250*j + 400*j + 129172 in the form t*j + m and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, a: 2, y: 10}. What is prob of sequence cc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkfkbkb. What is prob of picking 2 b?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -12*z**2 + 0*z + 13 - 948*z**3 + 1894*z**3 - 947*z**3 + 8 + z. Calculate h(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/20*(-1)\/(-75). Let t(g) be the third derivative of -v*g**5 + 0*g + 1\/120*g**4 + 2*g**2 + 0*g**3 + 0. Factor t(h).\nAnswer: -h*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 7) to base 15.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 - -179.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*p - 5 = 0, -a - 2*a + 19 = 2*p. Suppose 0 = -3*b - q + a*q + 1, 2*b = 2*q. Let y = 6961\/58 + -120. Do y and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 25 - 45220013*l - 45220037*l + 90440068*l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)*q*(q**(-1\/2)*q)\/q)\/(q\/q**(-1)*q)**(1\/57) assuming q is positive.\nAnswer: q**(-59\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -475, -429, -363, -277, -171, -45, 101?\n\"Answer: 10*p**2 + 16*p - 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l + 6. Let a be z(5). Let t(g) = g - 11. Let u be t(a). Factor 21*w**2 - 6 - 4*w**3 - u*w**2 - 17*w + 14 - 3*w.\nAnswer: -4*(w - 2)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 974 = 4*w, -984 = 4*w - 8*w + 2*v. Is 35 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 + 130 - 931*o - 63 + 1886*o - 885*o.\nAnswer: 70*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004450817508 rounded to seven dps?\nAnswer: -0.0004451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 68910*z - 5823720.\nAnswer: 5*(z - 13866)*(z + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is -141 times 2.1?\nAnswer: -296.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-24)\/(-8)))\/(2\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 15*z**2 - 66*z - 48.\nAnswer: 3*(z - 8)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0433 to three decimal places.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6056 + 1134 = 0. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/((-12)\/72). Suppose 0 = -c*m - g - 6, -4*g - 21 = 4*m - 7*g. Let x be 4\/(-10)*2*5. Sort -5, x, m in increasing order.\nAnswer: -5, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2515 = -2*v + 2547 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6899 (b) 113\/3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -1. Let c be 5\/(-140) - d\/21. Let y = -9 + 9.01. What is the third smallest value in 3, y, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2*(-32)\/(-12). Suppose -2*h + 3*h = q. Suppose -h*a + 492 = 2*v, -1197 = -5*v - 2*a + 3*a. What is the greatest common divisor of v and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**3 + n**2 - n - 1. Let w(x) = -8*x**3 + 49*x**2 + 3*x + 194. Let r(u) = -3*g(u) - w(u). What is the derivative of r(a) wrt a?\nAnswer: -3*a**2 - 104*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65878 (base 10) in base 4?\nAnswer: -100011112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**12)**(-49) assuming u is positive.\nAnswer: u**(-588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g**3 + 19*g**2 - g - 72. Let a(i) = 2*i**3 + 7*i**2 - 25. What is 11*a(w) - 4*j(w)?\nAnswer: -6*w**3 + w**2 + 4*w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -12\/203?\nAnswer: -12\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*r = 1141, -3*t - 2*r + 683 = 2*r. Suppose 3*o = 5 + t. Let z be (-3)\/(0 - o\/4). Which is bigger: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**2 + a**2 - a**2)*(-5*a + 0*a + 0*a)*(-76726 + 53*a + 76726) to q*a + r*a**2 + c*a**3 + u + h*a**4 and give h.\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084989 to the power of 1\/2, to the nearest integer?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxw when three letters picked without replacement from {z: 1, w: 1, j: 7, x: 3}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6038, 6041, 6046, 6053, 6062, 6073, 6086?\n\"Answer: n**2 + 6037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 s when four letters picked without replacement from ldaaaasspplpaapaxlal.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43282 = -4*h - 287974. Let z = h - -551747\/9. Let r = -132 + z. What is the closest to 2\/7 in r, 0.5, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(-31)))\/(i\/i**39))\/(i**45*i**(1\/7)*i) assuming i is positive.\nAnswer: i**(-274\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/7))**(8\/11)\/((q**(-2)\/q)\/q**(-2\/5)))\/((q**2)**(-13)*(q\/(q**(-2\/7)\/q))\/(q\/q**1*q)) assuming q is positive.\nAnswer: q**(10876\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-6) - 3)*4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2331 or -2324?\nAnswer: -2331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/4)\/(-33 - (-11454)\/368). What is the nearest to 15\/47 in 1\/2, -8, l, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0233 - 0.1233. What is the second biggest value in 4, 2\/9, x, 1\/8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 5*g - 2 - 4, 10 = 5*g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855398541.\nAnswer: 3, 151, 571, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 24*f**2 + 71. Is s(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -234160788 divided by 13774164\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from kkpppppp.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2. Let y(i) = 2*i - 5. Calculate 4*p(q) - 2*y(q).\nAnswer: -4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-42)\/18)\/(16*27\/(-9072))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 3056.9.\nAnswer: 917.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 2 (c) 0.03 (d) 5 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-2)*(-99)\/462.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**(2\/3)))\/w)**(1\/33))**14 assuming w is positive.\nAnswer: w**(-70\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*a - a = -4, -4*v = -4*a - 20. Let w be -8*(-3)\/15 + v\/5. Solve -h = -5*b + 7, -4*h = -3*h + 4*b - w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-5)\/(-2))\/(-30 + (-299915)\/(-9996)) is divided by 159.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6551328 and 16378320.\nAnswer: 32756640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.01123 to one decimal place.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 7*t = 1. List the prime factors of 1198\/6 - 1 - t\/(-3).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -189286378*g**4*w**2 - 157*g*w**2 + 6*g*w + 55*w - 1 wrt g?\nAnswer: -2271436536*g**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1051 - 45?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3100 + -3125. Let k = 1.1 + -4.6. Let h = x + k. What is h rounded to 0 decimal places?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -3*b + 8, -2*h - 15*b = -14*b - 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*a. Suppose -24 = -4*s + s. Let p be (-6)\/s + (-2)\/(-3). Is p >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 greater than -416\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 36*t**2 - 115*t - 29. Calculate s(5).\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 1 + 29 = 0. Suppose -3*b + v + 8 = -0*v, -2*v = -3*b + 7. Solve 3*z = u*z + b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -83*u**2 + 18*u. Let w(t) = -40*t**2 + 8*t. Let m(z) = -4*d(z) + 9*w(z). Let r(f) = 9*f**2. Calculate 2*m(v) + 7*r(v).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26584, -26568, -26542, -26506?\nAnswer: -26460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**3 - f**2. Let n be g(1). Suppose 4*l - 4*q - 312 = -l, 2*q = -n*l + 196. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26978160522 take away 168?\nAnswer: 26978160354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21156 divided by 6.\nAnswer: 3526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215, -432, -649, -866?\nAnswer: -1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4 + 28. Let m = 24 + u. Let y(b) = -b**2 + 8*b + 7. Let a be y(m). Calculate the highest common divisor of 49 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 8*p + 4, 0 = i - 3*p - 7. Sort i, 0.5, 2\/5, 2 in descending order.\nAnswer: 2, i, 0.5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yycffyyfyefycyyfe. Give prob of picking 1 f and 1 c.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1892, -1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1642\/8 - 141\/(-188). Suppose -6*s + b = -934. Calculate the greatest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -1, 5\/1727, -0.05 in descending order.\nAnswer: 5\/1727, -0.05, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 18, 3\/4, 3, -1\/2, 10.8, -0.2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 + -1113320231?\nAnswer: -1113320333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277050?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1119*j + 8. Let k(q) = 2233*q + 17. Calculate 5*k(r) - 11*z(r).\nAnswer: -1144*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a - 14. Let d(o) = 13*o + 27. Let v(u) = -3*d(u) - 7*j(u). Let c be v(-9). Which is greater: c or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44431159 rounded to 4 decimal places?\nAnswer: -0.4443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/22 and (3\/((-72)\/28))\/(4\/38).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 - 132*q + 2. Let v be r(-66). Solve 4 = w - v*z, -5*w = -8*w - 4*z - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1393)\/924 - 159\/1749.\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3515 (base 6) in base 7?\nAnswer: 2306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**3 - 2*z**3 - 40 - z**3 + 237*z**2 - 272*z**2 - 70*z = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 31 = -34*f + 29*f - 3*l, 0 = -3*f - l - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 0. Suppose 5*b - 89 = -3*h, -3*b = -h + 2*b + 43. What is the remainder when h is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/18 and 10*5951\/8052 - 7.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**3 + 10236*y**2 + 1030528*y = 0. Calculate y.\nAnswer: -97, 0, 2656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 57?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 826 - -2?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 152, 309, 482, 683, 924, 1217, 1574?\n\"Answer: 2*s**3 - 4*s**2 + 155*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5303569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 - 4 + 293*m**2 - 11 - 293*m**2 + 3*m to the form r*m**2 + s + l*m + j*m**3 and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1784663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 112, 120, 128?\n\"Answer: 8*h + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 16*u - 21. Let h be f(-18). Suppose -6*x = -5*x - 5*v + 20, 2*v - 25 = -3*x. Suppose -10 = -x*l + h. Sort 1, -3, l in decreasing order.\nAnswer: l, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 259136732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011101 + -1101011111110?\nAnswer: -1100111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 4*z + 5 = 0, -4*s - 3*z = -2*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -39.8.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8570691 divided by 1539.\nAnswer: -5569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 894*k + 8 - 823*k - 41. What is the units digit of i(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37069612 + 37064264.2459. Let h = n - -5348. Let c = h + -0.0329. Round c to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z - 4. Let h(j) = -5*j + 11. Let v(o) = o**3 + 8*o**2 - 9*o. Let k be v(-9). Let a = -8 - k. Give a*b(n) - 3*h(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (10 - (17 + (-18 - -7)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4529\/163 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -56 - 2?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(10\/13)*((s*s**(-3\/4))\/s*s)\/(s**(-1)*s))**5 assuming s is positive.\nAnswer: s**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 75.3*7931\nAnswer: 597204.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*sqrt(76)\/sqrt(4) + sqrt(19) + (1*sqrt(19))**2*2 - ((sqrt(152)\/sqrt(8))**2 + -1 + (2*sqrt(95))\/sqrt(5))).\nAnswer: -5*sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 30*m - 31. Determine c(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 2\/3, 1, -48?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-67943610.\nAnswer: -67943610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 6 - -5 - 9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -5*u**4\/4 - u**3 + 2674*u**2. What is w(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 2:07 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t - 35 = -30*t. Let p(i) = -2*i**2 - 14*i + 5. Let z be p(t). Find the second derivative of 197*f**2 + 28*f + 5*f**4 - 197*f**2 - z*f wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11811, -14090, -16367, -18642, -20915, -23186?\nAnswer: -25455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 189 = 3*s - 147, 4*p + s + 658 = 0. Let n = -1153\/7 - p. Let o = 238 - 1670\/7. What is the third smallest value in n, 1\/8, o, 0?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-837)\/(-4) + ((-3)\/4)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**3\/3 - 3*d**2\/2 + d + 532. Suppose -4*m = -m - 6. Give s(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 4. Let l = -22 - m. Let z = l - -26.999896. What is z rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3789 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.414707km to nanometers.\nAnswer: 2414707000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 34*z**2 + 152*z + 928. Let a(f) = 8*f**2 + 38*f + 232. Let n(b) = -26*a(b) + 6*q(b). Differentiate n(v) wrt v.\nAnswer: -8*v - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/30 - ((-5)\/50 - 2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -13*g**2 + 13. Let l(k) = -14*k**2 + 12. Let y(u) = 5*l(u) - 4*q(u). Let n = -16 + 22. Let d be y(n). What is d rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 10*u**2 + 104*u + 63. Calculate the smallest common multiple of 99 and x(-18).\nAnswer: 8613","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2987)\/49 + -4*(-15)\/(-1470))*1.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4559)\/388 + 413459\/35156?\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1288\/(-115) + -19 + 3\/15.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8.098757*6\nAnswer: -48.592542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4195*d + 944 = -4136*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4242025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 11. Let q be k\/(0 - 6\/(-10)). Solve -q*t + 11 = -4*r, -21 = 5*t + 6*r - 2*r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.7259374 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1139117966?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.0761483*-4\nAnswer: 0.3045932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1145976 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3. Let s(y) = -4*y**3. Calculate -6*c(u) + s(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*m + 10 = 0, 3*i - 5*m = 1 + 9. Let y = -1 + i. Let p be 1 - y\/(2\/78). Solve -6*k + 3*k = -5*z + p, 0 = 4*k - 3*z + 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g, 5*n + 68*g - 630 = 66*g. Calculate the highest common divisor of 84 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/93*-183)\/((-12)\/(-2) + -7).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h = 2*h + 840. Solve 17*n - b = h*n - 19, -3*b + 22 = 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 = 13*a - 199 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*p**3 + 178*p**5 - 119 + 23*p**3 - 102 + 8*p**6 - 4*p**2 + 71 wrt p?\nAnswer: 960*p**3 + 10680*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 16) to base 3.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 712, 2785, 6226, 11029, 17188?\n\"Answer: -w**3 + 690*w**2 + 10*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/8 + 47534363*f\/8 + 23767181\/4.\nAnswer: (f + 1)*(f + 47534362)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 0*x = 4*x + 42, 3*x + 42 = 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 3. Let g be (-1 - 0)*25\/(-1). Let i = g + s. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -1) + 5 + (-18 - -33) + -20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 7:43 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 2*v + 14. Let a be s(30). What is a rounded to the nearest 10?\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 i when four letters picked without replacement from {l: 5, i: 3, c: 2, u: 9}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3758189731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**5 + 8 - 20*s**2 + 5*s + 10*s**2 + 5*s**4 - 10*s**3 + 2*s**5 - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(4*w**4 + 4*w**4 + 2*w**4) - 5 - 2 - w**4 + 5.\nAnswer: -21*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601857 is divided by 966.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h + 4\/3*h**2 - 16\/3.\nAnswer: 4*(h - 2)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -341120 divided by 126?\nAnswer: -170560\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 5*x - 25, -3*x + 3*f + 10 = 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9193031, -9193024, -9193013, -9192998, -9192979, -9192956?\nAnswer: -9192929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -120, -239, -358, -477, -596?\n\"Answer: -119*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 10753687?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 13*y - 7. Let x be o(12). Let q = 101 + x. What are the prime factors of q?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**3\/3 - 8. Let s(a) = 2*a**2. Give s(c(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) 0 (b) 3\/7 (c) 7\/6 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 2:25 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 1, 0, 17 in decreasing order.\nAnswer: 17, 15, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -24 + (-38 - -91)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/9*p + 0 - 2\/9*p**3 - 8\/9*p**2 + 2\/9*p**4 = 0. Calculate p.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -230, -396, -548, -668, -738, -740, -656?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + -13335023?\nAnswer: -13335103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/10 of a century in months?\nAnswer: 2280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -115*a - 1337 + 313 - 2586 - 875 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r**2 - 4*r + 1. Let p(k) = 3*k**2 + 2*k - 1. Let s(q) = 5*p(q) + 2*t(q). Let y be s(-3). Suppose y = b - 46 - 10. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9295 - 9258. Solve -41*r = -i*r - o, -2*r = -3*o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 848544?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -21*s + 14. Let b be z(4). Let n be 6\/(-7)*-9 - 20\/b. Suppose y + n*y = 2*y. Solve j - w + 5 = y, -j + 4 = 5*w - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 36*s**2 - 104*s + 2518. Calculate h(37).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4284 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831\/11 greater than or equal to 258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 20*y - 16. Calculate v(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h - 49 - 13 - 7 - h. Calculate the smallest common multiple of 6 and k(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9727, 38902, 87521, 155584, 243091?\n\"Answer: 9722*t**2 + 9*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utu when three letters picked without replacement from rtrhurrutrututh.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 27 + -2 + 0 - (-8 + 20)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 11*b + 17. Let c be (-22)\/12 + (-43)\/258. Let f be m(c). Which is greater: -7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7\/i)\/i**(-16\/3) assuming i is positive.\nAnswer: i**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 13 - 55 = 0. Suppose f*q = 19*q + 4. Which is bigger: -5\/7 or q?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5362, -5368, -5386, -5416, -5458, -5512?\nAnswer: -5578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4) + 4375\/10 + 6. Let w = k - 188. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, 27, -32 in decreasing order.\nAnswer: 27, 0, -10, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7.938297 years?\nAnswer: 0.007938297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n - n + 2*n + (648 - 648 - 27*n)*(0 + 5 - 4) - n + 4*n - 15*n to the form w + o*n and give o.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*j + 44044 = -255*j. Does 58 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-548)\/(-11) - (3 - (-105)\/(-33)). Let t = s - 35. Solve 0 = -4*p - p - t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50652 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 179089475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -4 (c) -0.3 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 5:18 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**2 - v - 6. What is the smallest common multiple of 30 and u(2)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 1:42 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/2, 0.054, -11\/19?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + -1 + sqrt(13)*2*2.\nAnswer: -1 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 214, 417, 612, 799, 978, 1149, 1312?\n\"Answer: -4*u**2 + 215*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -719*l - 688*l - 360 = -1431*l for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-315)\/10)*(-21)\/(-84)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 9*t = 5265. Suppose 0 = 5*p - 3*w - 1936, -977 = -4*p - 2*w + t. List the prime factors of p.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83047.298 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 16, 7\/4, -5, -2\/3, 2\/7 in decreasing order.\nAnswer: 16, 7\/4, 2\/7, -2\/3, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) -20 (c) 2 (d) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 7*h. Let a be c(7). Suppose 0 = 4*t - 4*w - 8, w + 10 = 4*t - 7. Suppose 4 = 4*r - 8. Solve a = k + r - t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 6:33 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 + -31. What is the highest common divisor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 divided by -2?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*p + 45 + 4*p - 4*p**2 + 7*p**2.\nAnswer: 3*(p - 15)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1140, -2255, -3390, -4545?\nAnswer: -5720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 5*d - 4. Let n be h(5). Let l be 6\/(-9)*6\/n. Let w = 52 + -51.7. Which is the biggest value? (a) 0.1 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1328 and 240176.\nAnswer: 19934608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18699 or -654512\/35?\nAnswer: -18699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054682435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5379 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -530 - -4191\/8. Suppose g + 4*g = -35. Let b(j) = 2*j**2 + 8*j + 6. What is the common denominator of b(g) and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*r**3 - 2*r**2 + 5*r**3 + 9*r**4 - 3 + 11*r**3 - 7*r + 15*r**3 to the form s*r**3 + o*r**4 + l + b*r**2 + p*r and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v = 4*v + 2926. Suppose -u - v + 1218 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/8*(-72)\/45?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -0.5, 69, 10\/9, -3985 in increasing order.\nAnswer: -3985, -0.5, -1\/9, 10\/9, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*y + 4*y - 66 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4713 is divided by 2235.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757207.\nAnswer: 11, 19, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91 + 14*y + 91)*(129 + 114 - 70 + y).\nAnswer: 14*y**2 + 2422*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4\/11 - 125756*i**3\/11 - 7540560*i**2\/11 - 13707200*i - 1005088000\/11 = 0. Calculate i.\nAnswer: -62818, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -17*a**2. Let t(c) = -6*c**2 + 21. Calculate z(t(b)).\nAnswer: -612*b**4 + 4284*b**2 - 7497","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 726043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 (base 10) in base 8?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*n + 4. Let r = -161 + 176. Let c = n + r. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9111 + 9100. Let c = 103\/2 + -53. What is the biggest value in l, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/5 - 408498*t**2 + 32680416*t\/5 - 130722432\/5.\nAnswer: -3*(t - 8)**2*(t + 680846)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (4 - (-2 - -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1287, 1292, 1299, 1308, 1319?\n\"Answer: y**2 + 2*y + 1284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1280) + -6*(sqrt(1280)*2 + sqrt(1280) - sqrt(1280)))*6)\/(sqrt(40)*-3 + sqrt(10) + (-1*sqrt(80))\/sqrt(8)))**2.\nAnswer: 15488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*n - 108*n + 4030 = 0. What is n rounded to the nearest ten?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*z + 615063 = 178*z. What is the thousands digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142736 and 8056?\nAnswer: 143735152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -20799*d - 4450983. Give u(-214).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n - 7*n - 27*n)*(-38*n + 4*n + n - 25*n).\nAnswer: 2378*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*z - 13*y + 14*y + 1, 5*z = 4*y + 96 - 68 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 1. Let o be ((-12)\/(-16))\/(i\/(-20)). Let k be o\/10*(-20)\/(-6). Solve 0*z = k*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36\/467 - -23671\/14010. Calculate the common denominator of n and -23\/14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19664321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) 791 (c) 1381\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2728 + -2726. Sort 47, 5, u in descending order.\nAnswer: 47, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v - 11. Let m(h) = -6*h + 12. What is -5*a(f) - 6*m(f)?\nAnswer: f - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142972*u**2 - 5*u - 3631 wrt u.\nAnswer: 285944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 7:10 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 22 = -6*t. Suppose 0 = -t*k + 14*k. Let y = 0 + 0. Solve -f + 1 + y = k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4447584 or 4447582?\nAnswer: 4447582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584267 is divided by 204?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 31*x**8\/28 + 4*x**4\/3 + 68*x + 44. Let d(l) be the first derivative of t(l). Find the third derivative of d(v) wrt v.\nAnswer: 7440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4 + 1375\/345)\/((-2)\/(-6)))\/((-2)\/2).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127\/738 - 2\/369. Factor 0*v + 1\/3*v**2 + h*v**3 + 0.\nAnswer: v**2*(v + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -9*u**3 + 7*u**2 - 10*u + 11. Let a(t) = -5*t**3 + 3*t**2 - 5*t + 6. Let j(g) = -7*a(g) + 4*z(g). Determine j(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -0.1 (c) -4\/105 (d) -3 (e) -2\/3 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - a9d?\nAnswer: -a9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535 - 3*l**2 + 535.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - g - 1. Let d be l(-1). Suppose 3*v = 5*q + 22, 2*q + 2*v + 135 - 139 = 0. Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 180 * 4.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 - -174. Let k = 43 - d. Let c = -54.99999932 - k. Round c to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = -33. Let z = -59 - -59. Suppose -l = 5*t - 1 - 6, 5*t = z. What is the highest common divisor of l and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-39)*x\/(x**(-6)*x*x)*x*x)**(4\/43) assuming x is positive.\nAnswer: x**(-128\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/4, 835166, 2\/13, 0.96?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*i**2 + 14*i**2 + 20*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3383385 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -15. Calculate the remainder when 12 is divided by 2*-1*(-5 - (0 - v)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -486 divided by -1.\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*v = -213*v - 225*v - 154 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 91508033 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 30*i + 51. Give q(14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 3. Let t be w(0). Let a(v) = 0*v + 0*v + t*v. Let s(f) = -3*f**2. What is a(s(d))?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021000010102 - 12?\nAnswer: -1021000010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -13*q**6\/120 + 4*q**3\/3 + 21*q**2. Differentiate m(y) with respect to y.\nAnswer: -39*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, b: 1, o: 1, f: 3, y: 1}. Give prob of sequence offb.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -16ac6?\nAnswer: -16ac8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 692505049 to the nearest one million.\nAnswer: 693000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 66 (c) -262726\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67\/4 or 956?\nAnswer: 956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*l - 14 + 37, 23 = 5*h + 2*l. Is 2*260 + (4 - h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 7*z**2 - 3*z - 7. Let p be x(-7). Suppose 3*y - 4*c = -0*c + p, 16 = 3*y - 5*c. Solve y*o = o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 + 75.9. Let u = i + 0.1. Put u, 1, -4 in increasing order.\nAnswer: -4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 5. Let p be b(7). What are the prime factors of 39\/p*24\/6?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2021010110 (base 3) to base 11\nAnswer: 30531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/6, -69, -0.4, 0.5, 2, 65?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -57\/4 (c) 4 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -175*u**2 + 28*u - 56. Let t(b) = 31*b**2 - 5*b + 10. Let d(i) = -5*l(i) - 28*t(i). Let r(m) = m**2 - 101. Calculate d(r(a)).\nAnswer: 7*a**4 - 1414*a**2 + 71407","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.54, 6, 0.4 in descending order.\nAnswer: 6, 0.54, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 11:06 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1319 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*u - 47 + 46 = 0, -3*u - 1 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 672 and 2268?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961499 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.848 and 13.096833?\nAnswer: 3.248833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4327017 - 1388589. Suppose -2*t - 1061572 - h = -4*b, 3*t = 0. What is b rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/21*35\/(-15). Let s = -20 + 19.91. Which is the smallest value? (a) p (b) s (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h**3 + 640*h**2 + 11*h + 3. Let v(k) = -3*k**3 - 214*k**2 - 4*k - 1. What is -6*q(r) - 17*v(r)?\nAnswer: 3*r**3 - 202*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 119*t**2 - 7*t + 3. Let v(a) = 43*a**2 - 2*a + 1. Give 6*f(m) - 17*v(m).\nAnswer: -17*m**2 - 8*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47234g in kilograms?\nAnswer: 0.00047234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/45 + 8\/225. Which is bigger: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114151 is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 598530 (base 10) to base 2\nAnswer: 10010010001000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12282, -12281, -12280, -12279, -12278, -12277?\n\"Answer: g - 12283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + (-1 - -8) - -3) + 20?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwggggjgwjjjjxwgj. Give prob of picking 1 g, 1 j, and 1 x.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 3. Let h(b) be the third derivative of b**4\/12 - 5*b**3\/6 - 2*b**2. Suppose -3*i + 9 + 0 = 0. Calculate i*h(s) + 5*r(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v - 10*v - 2*v + 6*v - 3*v. Let x(t) be the second derivative of t**4\/6 + 8*t. Calculate s(x(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11511834 from -131.22.\nAnswer: 11511702.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + 551277?\nAnswer: 551267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50561655 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 401905 by -401905.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(3 + 1 + -3). Let b(y) = -y**3 + 5*y**2 - 4*y - 1. What are the prime factors of b(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llll. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**30*z)*z**(-3\/7)*z assuming z is positive.\nAnswer: z**(-213\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69027015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 4*z**2 - 2*z - 2. What is the least common multiple of (-4 - -2 - -6) + 0 and c(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 637*s + 536*s - 52264 - 81458 for s.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/20)\/((6\/(-798))\/(((-4060)\/(-392))\/(-29)))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5))**(-1\/64))**(-36)*((o\/(o*o*o**(2\/3)\/o*o))\/o*o*(o*o**(6\/11))\/o)**(-1\/59) assuming o is positive.\nAnswer: o**(-16043\/77880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3484 + 3123 = -19*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((154\/12)\/11)\/(5\/35) and 2\/59.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5432407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzzz. What is prob of sequence zz?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5161 + -1248965\/242. Suppose 34*n - 3 = 31*n. Is n smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7202 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -2, 67 in increasing order.\nAnswer: -2, 5, 9, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/3 + 228596*l**3\/3 - 457196*l**2\/3.\nAnswer: l**2*(l - 2)*(l + 228598)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01345858 to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76444, -76379, -76304, -76219, -76124?\nAnswer: -76019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53890 and 11095.\nAnswer: 377230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 289889 to the power of 1\/2, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -978 divided by 6.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in 2\/71, 68, 3\/8?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1659 is divided by 710?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p. Suppose c + 3*x - 6*x + 4 = p, 4*x = -c + 17. Suppose -l - c*l + 222 = 0. List the prime factors of l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 16*v - 1. Let j(q) = q. Let y(x) = -j(x) - o(x). Let b be y(-15). Is -1\/106 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11213 divided by 3959?\nAnswer: 11213\/3959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2924?\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -11 + -14 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32451 and 696.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i + 6. Let v(p) = 1 + 0 + p + 4 - 7. Suppose 0 = 695*z - 648*z - 329. Give z*v(s) + 2*n(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 976289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 10*o**2 - 7*o + 13. Let x be n(-9). Let a = x + 11. Find the second derivative of 2*g + 3*g + 2*g + a*g**4 wrt g.\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26010 + 26011. Let m(u) = u + 1. Let o(y) = 15*y + 1. What is r*o(q) - 2*m(q)?\nAnswer: 13*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -16. Let k = t - 19. Suppose 50 - 14 = k*x. Solve 0 = 2*s - x - 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 128*a**4 + 6076283360*a**3 + 4557212472*a**2 + 1139303114*a + 94941926 = 0. Calculate a.\nAnswer: -47470963, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 + -10011?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -13363643 and -13363643 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 6161510.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(180)\/sqrt(324))\/sqrt(10).\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 1. Let z(d) = d**2 - 3*d + 5. Let u be (6\/(-5))\/(21\/70). Calculate u*h(f) - z(f).\nAnswer: -f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27)\/(-45)*(3 + 2). Suppose -4*w - 2*v = -w - 2, 5*v = -m*w + 5. Suppose w*r = 2*r - 64. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8718.243 micrograms to milligrams.\nAnswer: 8.718243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 divided by 1005.\nAnswer: 127\/1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113703882.\nAnswer: 2, 3, 18950647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/a**3))\/(a*a*a**(11\/3))*(a**(4\/5))**(2\/3))**(3\/16) assuming a is positive.\nAnswer: a**(-47\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -3 (c) 75 (d) -47\/2 (e) 1\/8 (f) 13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2 - 221350*v = 0.\nAnswer: -110675, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3432348 is divided by 950.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x = 0. Let b(r) = -550*r - 72586. Let y be b(-132). Solve x = 6*t - y*t - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**7\/840 + m**6\/180 - m**5\/60 + 2*m**3\/3 + 1. Let n(b) be the third derivative of d(b). Is 4 a factor of n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100557809 and 30852.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.13 + 0.03. Sort 5, f, 2\/3, 3.\nAnswer: f, 2\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(36) - sqrt(324))\/sqrt(12) - sqrt(3))*-4.\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2377 - 2386 + 4764. Let z(q) = -4*q**2 + q - 2. What is -3*g(s) - z(s)?\nAnswer: 4*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231829 is divided by 3056.\nAnswer: 2629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 2. Let d be 2\/(-4)*36\/(-9). Suppose d*h + 0*h = 0. Let c be l(h). Sort 2\/15, c, -5 in increasing order.\nAnswer: -5, c, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 + 5*m + 2. Let g(t) = t**2 - 3*t - 1. Suppose -4*f = -3*s + 2*s + 34, 0 = -2*f + 5*s - 26. What is f*g(z) - 5*r(z)?\nAnswer: 2*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 435 - -12?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 1 + -1 - 23?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 25. What is the remainder when 23 + -2*(-18)\/(-6) is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1147\/454 - -6\/227. Put 2, -4, y, -1 in descending order.\nAnswer: 2, -1, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 544 = -154. Let h = -340 + 603. Suppose 2*l - 3*o - h = 0, 3*o = -l + 6*o + m. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/1)\/(-11 - -10). Let f(o) = o**2 + u*o**2 + o**2 + 15*o**2. Let j(p) = 852*p**2 - 425*p**2 - 430*p**2. What is j(f(g))?\nAnswer: -867*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217688.\nAnswer: 2, 27211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88636 is divided by 2160?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6153 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 296726440 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: Suppose 2*u - 17 = 6*u + t, -14 = 4*u + 2*t. Let f = -4229\/4 + 1052. Are f and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2630233 to the nearest integer?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1990 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 135*r**3*y**4 + 66*r**3*y**2 - 2472*r**3 wrt y?\nAnswer: 540*r**3*y**3 + 132*r**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -24 + 9 + 5 + 4 + 3. Suppose -6 = -4*r + 6. Let l be 10 + (0 - r) - 2. Let c(x) = x**2 + 5. Give l*t(k) + 3*c(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0085875762 to four dps.\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from czcccccsccccc.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90*r - 31*r**5 + 2*r**5 - 96*r**5 wrt r.\nAnswer: -2500*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/11)*z**0\/z*z)\/(z**(-4)*z**(-2\/19)))\/(z**(-1\/5)*z**(-4)*(z\/(z\/(z\/((z\/(((z\/(z*z**(2\/3))*z)\/z)\/z))\/z))))**(-5\/8)) assuming z is positive.\nAnswer: z**(113743\/12540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/7 + 2332*y**3\/7 - 51813*y**2\/7 - 58804*y\/7 + 108284\/7 = 0. What is y?\nAnswer: -2354, -2, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/322 and -67\/56?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2 = f, 12157*f + 5*x = 12160*f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4*w + 12 = -2*z, 0 = -5*z + 2*w + 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2502 is divided by 52.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 - y - 1. Let n be i(-1). Let q(x) = -2*x**2 - 2*x + 1. Let w be q(n). Which is the second biggest value? (a) w (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*l - 18*l + 3505. Suppose -5*o + l = -g, 0*g + 8 = 2*g. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 11. Suppose -t*h - h - 9 = 0. Let q(k) = k**3 + k**2 - 2*k + 4. Give q(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 5*i + 22. Let k(m) = -74*m + 86*m - 2*m**2 - m**2 + 4*m**2 + 10. Give k(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87408 equal to -87406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7))**(-14\/13)*(z\/(z**0*z))\/(z*z*z**(-1)*z))\/((z\/z**0)**(-3)*z**(2\/9)*z**(-3)\/z) assuming z is positive.\nAnswer: z**(595\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*m - m + 6, 0 = m - 2*w + 8. Suppose 12 + 80 = m*x. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*z + 347 = z, -2*z + 218 = 2*x. Let g = -82 + x. What is the highest common divisor of 341 and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-606)\/303)\/(8\/6*2\/(-16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57021321 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 0 = -6*l. Solve 31 - 25 = l*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85472550 divided by -569817?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -118\/7 - -17. Factor 1\/7*o**3 + q*o**2 - 1\/7 - 1\/7*o.\nAnswer: (o - 1)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 7) to base 9.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00559 rounded to four dps?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -45, -156, -333, -570, -861, -1200, -1581?\n\"Answer: i**3 - 39*i**2 - i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.932742 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 1. Let m be c(-1). Suppose 3*z = -m*z - 5. Suppose 5*q - 2*v = -0*v + 30, 2*q = 5*v + 33. Sort q, z, 1.\nAnswer: z, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 - c + 3. Let b(w) = w**2 + 1. Let q(a) = -4*b(a) + n(a). What is the tens digit of q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.35 (c) -0.4 (d) 5 (e) -2\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 40123 divided by 2270\nAnswer: 40123\/2270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 10723 - 4206 = -73973. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*x + 10*x - 3*x**2 + 5*x + x**2 - x**2 - 3*x**2 + (2*x**2 - 2*x**2 + x**2)*(-2 + 0 + 0).\nAnswer: -8*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -143013 (base 5) to base 11\nAnswer: -4572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98826309.\nAnswer: 3, 10980701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3035492 to the nearest integer?\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**5\/5 + 5*g**2\/2 - 5. What is the second derivative of d(w) wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6872092 centuries in millennia?\nAnswer: 0.06872092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5832*x**3 - 23381*x**3 + 5879*x**3 + 5835*x**3 + 5838*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.85 + 8. Let l = r - -0.09. Let p = l - 0.206. Round p to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -934619, -934620, -934621?\nAnswer: -934622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1332517, 1332519, 1332521, 1332523, 1332525?\nAnswer: 1332527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27943 - -bb1?\nAnswer: 28824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -10 + 5 + 2*w + 99*w**2 - 98*w**2. Give o(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -47. What is the remainder when (-49*z\/(-3))\/(12\/72) is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 15*h**3 + 11765*h**2 + 407840*h + 134640 = 0.\nAnswer: -748, -36, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -676, -1410, -2142, -2872, -3600, -4326?\n\"Answer: v**2 - 737*v + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20690 is divided by 2003?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010011111 (base 2) in base 8?\nAnswer: 5237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24260745 and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**3 - 3775*q**2 - 1188181*q - 395641 = 0.\nAnswer: -629, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 7*a**2 + 3. Let y = -18 - -25. Let f be u(y). What is the smallest value in f, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127864 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 13. Let v = -1 + m. Let g = -0.8 - v. What is g rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658507580 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1626982, 3253965, 4880948?\nAnswer: 6507931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*w - 524, -3*w + 503 = 78*j - 74*j. Solve 140 - j = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + 81\/(-69) + 1 and 7\/10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 69.3 times -0.0646\nAnswer: -4.47678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 21099.206 to the nearest 10.\nAnswer: 21100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 7) + 3 + -4 - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2082*y + 1. Let x(t) = -t**2. Give n(x(b)).\nAnswer: 2082*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -32, -43\/6?\nAnswer: -43\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -f + 1, 0 = f - 5*j - 1. Let o = 172 - 167. Suppose -3*x + 27 = b, -4 = o*x + f. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40296 by -2.\nAnswer: 20148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w**3 - 13*w**3 + 24*w**3 - 3*w**3.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6820939901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -11303321113002?\nAnswer: -11303321113013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173.7 - 182. Let g = -8 - w. Let z = g - 0.5. Which is the nearest to 0.1? (a) 2 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -974 + 1051 - (40 + (10 - 8))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 5*y + 15, -54*y + 55*y + 5*o = -3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**5 - 3*w**5 + 0 + 1)*(17103 + 25993 - 36089).\nAnswer: -21021*w**5 + 7007","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 7464968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 5:32 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-26)\/1)\/2 - -1. Let v = l + 110. Let i = v + -59. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 + -75. What is the remainder when i is divided by 4\/(-6) - (-5)\/((-150)\/(-560))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 take away 73138.0564?\nAnswer: -73138.0164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*y**2 + 5*y - 7*y**2 - 9*y**2 + 5*y**3 - 11*y**2.\nAnswer: 5*y**3 - 51*y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13223, 53142, 119703, 212912, 332775, 479298, 652487?\nAnswer: 852348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 675.8898 millilitres in litres?\nAnswer: 0.6758898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.07, -4.6, -2\/3, -0.5, -2\/5, 0.4, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-651) - 60567\/(-1209).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 + 5*b + 2. Let p(i) = -i**3 + 2*i**2 + 5*i + 2. Let s(h) = -5*p(h) + 4*w(h). Let q(z) = z**3 - z. Let g(m) = -6*q(m) + s(m). Factor g(r).\nAnswer: -(r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 109 - 6?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + -4 - -6 - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + -6)\/4 - -9. Solve -v*q + 15 = -13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.895 less than -79.434374?\nAnswer: -80.329374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85108552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 544 and 12.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(91) - (2*sqrt(91) - sqrt(91))))\/((sqrt(77) + sqrt(77) + -1*sqrt(77))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + -15 + -1 + -39 + 30\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*i + 218*i + 20 = -w, -4*i + 4*w - 1 = -33 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/(((s**1*s)\/s)\/s)*s)\/s*s*s)\/s)**(2\/15)*s**(3\/8)*s*s**(-1\/9))\/((s**1)**(-31\/5)\/(s**(-4\/5)*s**1*s*s)) assuming s is positive.\nAnswer: s**(3623\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 31*r**4\/8 - 188*r**3\/3 - 40*r**2. What is the first derivative of n(s) wrt s?\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**5 + 564*t**4 + 17607*t**3 - 818010*t**2 + 8382528*t - 25404192 = 0. What is t?\nAnswer: -108, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66.0193 - -0.0193. Let u = q + 76. Let s = -3 - -5. What is the smallest value in -0.5, s, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 7*u**4\/8 - 13*u**3\/3 - 7*u**2\/2 + 5*u. Let j(z) be the first derivative of s(z). Find the first derivative of j(k) wrt k.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -231*s = -287*s - 306 - 198 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*g = -74, -2*g - g - 301 = -4*v. What is the highest common factor of 114 and v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/957825 and 41\/864.\nAnswer: 30650400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 103 + 1183 = 0. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 79. Let f = -20 + q. Suppose 0*p - 2*p - 62 = -4*h, 53 = 4*h + p. Calculate the lowest common multiple of h and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 1. Let p be n(-5). Is 2\/p - (-650)\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(sqrt(36) - sqrt(144)))\/sqrt(12).\nAnswer: 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190\/(-187)*(-5643)\/342?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.5, -4, -42 in decreasing order.\nAnswer: -0.2, -0.5, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 11562 = -4*a, -2*b + 0*b - 2*a - 4626 = 0. Let u = -46183\/20 - b. Calculate the common denominator of -93\/14 and u.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 + -141\/2. Let m = 2\/11 - -5\/33. Let l = -12 + 17. What is the smallest value in m, f, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + (-225)\/33 + (-4)\/22. Suppose -4*j + 5*j - 3*k - 24 = 0, 2*j - 15 = -5*k. Let f = j + h. Solve -3*q + 29 = q + f*c, -5*q = -4*c - 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 47 = -4*j. Let t = j + -23. Suppose 0*l - t*l = 2*b - 2, b - 4*l = 16. Solve 4*p + 0*h - 1 = -h, -b*p - 11 = 5*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-5)*(-29 - -24). What are the prime factors of (-4 + -1224)*q\/4?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 21*g**2 - g + 32. Does 23 divide t(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 324 and 604.\nAnswer: 48924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1 - 1 + 2*g + g**2 + 0*g**2. Calculate the remainder when 4 + ((-83)\/(-4) - 3\/(-12)) is divided by s(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5))**(-1\/13)*(n**(-1\/4))**31)**16 assuming n is positive.\nAnswer: n**(-8028\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-11)))\/(s**(-17)\/s) assuming s is positive.\nAnswer: s**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -21*u - 3. Let y(l) = 252*l + 35. Let n(r) = -35*a(r) - 3*y(r). Is n(-1) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 293*u**2*w - 6*u**2 + 11*u*w - 164480*w wrt u?\nAnswer: 586*u*w - 12*u + 11*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5, 16, -1\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 4) + 10 + (-1 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 19. Let z be (o\/(-12))\/7*2. Suppose p + z*p**2 + 1\/2 = 0. What is p?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s. Let g = -30 + 57. Let v(n) be the first derivative of -53*n**2 + g*n**2 + 12 + 28*n**2. Give w(v(y)).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.19344 millennia in decades?\nAnswer: 4619.344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37758966?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 7:28 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from tohooyototttoooo?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1914965121 to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.15 + -0.05. Let l = o - 0.8. Let s = -0.08608 + 0.08608. Which is the closest to s? (a) 0.1 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/9 and 69\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -6*x**5 + 1486*x**4\/3 + 85178*x**3\/9 + 272398*x**2\/9 - 57236*x\/3 + 2640 = 0.\nAnswer: -12, -5, 2\/9, 1\/3, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - (-2544)\/132 - -13.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 3*g + 4*g**3 - 27*g**3.\nAnswer: -23*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**3 - 3*r + 3. Let f(q) = -3*q**3 - 2*q + 2. Let x(h) = h - 1. Let k be x(4). Determine k*f(m) - 2*p(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w + 18. Let f be 3 + (2 - 5 - -8). Let l be a(f). Let s be -2*(l\/(-40) + (-438)\/8). Calculate the highest common divisor of s and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*p = -61 + 11, -30 = 2*c - 4*p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/62480 and 1\/80.\nAnswer: 62480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 4)\/(1 + -3). Suppose -2*j + 12 + 0 = f, j = 3*f - 1. Suppose -5*p = -z - 0*z - 23, j*p - 8 = -4*z. Solve w = p*x - 0*x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = t - 5*p, -t + 4 - 19 = -4*p. Solve 0*h - t*w = h, w - 6 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 268?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037347 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1043 + 1043. Let z = 4\/63 - -2\/9. Let l = -2\/1081 + 4338\/7567. What is the nearest to u in z, l, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.25018 + 0.4.\nAnswer: -13.85018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 0*u**4 + 10*u**2 + 2*u + 0*u**3 + 0 - 11\/60*u**5. Let i(c) = -3*c**2. Give y(i(g)).\nAnswer: -99*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78053 - -2731653\/35. Let z = s + 39\/7. Let p(g) = -g**2 + 3*g + 2. Let x be p(2). What is the third smallest value in z, x, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*j*s**4 + j*s - 2257*j - 47*s**5 - 2*s - 4 wrt s.\nAnswer: 216*j*s**2 - 940*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03757 * -13584.\nAnswer: 510.35088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -214, 4, 332, 1 in decreasing order.\nAnswer: 332, 4, 1, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 199018 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 24, 44, 72, 108, 152, 204?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3037 (base 8) to base 3\nAnswer: 2011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98336160 a multiple of 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -78 and 1220882.\nAnswer: -95228796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 152, 299, 536, 857, 1256?\n\"Answer: -u**3 + 51*u**2 + u + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13311113?\nAnswer: 13311113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7448 divided by 8.\nAnswer: -931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 369 + -101. Let b = q - 268.27. What is the second smallest value in -1\/3, 2, b, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 8*s + 12. Let j be r(9). Let a(w) = -w**2 + w + 3. Give a(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1e29c1 (base 15) to base 11\nAnswer: 919831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**12\/(z*z*z**(5\/3)\/z)*((z*z**(-3\/8)*z)\/z)\/z**(-1\/13) assuming z is positive.\nAnswer: z**(3131\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -3054421343?\nAnswer: 3054421343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2001*r + 1001*r + 1001*r. Let d(g) be the second derivative of 17*g**3\/6 - 4*g. Calculate c(d(v)).\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/10, 4, -0.12?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from bbbqobaoaqoba?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/311?\nAnswer: -2\/311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 3:09 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -248*t**2 - 5*t + 8. Let g(z) = -248*z**2 - 6*z + 10. Calculate -4*g(d) + 5*w(d).\nAnswer: -248*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379*b - 13 + 764*b - 383*b - 49.\nAnswer: 2*b - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11672.397ms in days?\nAnswer: 0.0001350971875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 817091 to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-10 + 22 - 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.79, -4, 1, 3, -16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + c - 4240 + 4229, -3*h - 5*c = -27 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n - 11. Give i(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42992909 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -16. Suppose q - 3 = -9*o. Let j = o + 102. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 372\/1911 - (-100 + 100254\/1001)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 20 = -2*c + 2*h, -2*h = 2*c - 8. Let m = -489 - -494. Solve p + m*x = -2*p - 37, -2*x - 10 = c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2391\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3204 divided by -4\nAnswer: -801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 243 - 243.193. Let h = d - 0.007. Let s = -0.01 + 3.01. What is the nearest to 0 in s, -0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 + 102. Suppose 0 = 4*u + 5*n - 32, n = -2*u - 2*n + 18. Suppose 8*j - u*j + 5*l - 495 = 0, 4*l = 2*j - k. Is 33 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 7, q: 1}. Give prob of picking 1 q and 2 a.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 125 + 47. Suppose -2*j - 700 = -4*z, z = -j - 472 + 626. What is the remainder when z is divided by x?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/8 and 61\/92692.\nAnswer: 185384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express v - 156 + 708 - v**3 - 19153*v**2 - 19154*v**2 + 38306*v**2 as s + m*v**2 + o*v + i*v**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**7\/945 - c**6\/135 + 2*c**5\/135 + 10*c**2 - 2*c + 4. Let r(y) be the first derivative of i(y). Factor r(k).\nAnswer: 2*k**2*(k - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1212 + 1214. What is the nearest to -20 in -3, o, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 572*j**3 + 371*j**3 - 1225*j**3 + 457*j**3 + 2*j**2 - 2*j**2.\nAnswer: 175*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -169 + -8?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21338 divided by -3?\nAnswer: -21338\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7 = 2*i - 13, 0 = 5*i - 2*d - 52. Let o be (-60)\/(-1) - 0\/2. What is the highest common divisor of i and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1944)*2 + sqrt(1944) + -2*sqrt(24)*-1)\/(3*(sqrt(968) + sqrt(968)*-1 - sqrt(968))*1).\nAnswer: -2 - 29*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) 990 (c) 3 (d) 1 (e) -1\/6 (f) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 2:10 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/1 + (2 - -1). Suppose s = 2*r - 1. Suppose -i = r*w - 10, 2*w - 7*w + 19 = i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3309030686.\nAnswer: 2, 13, 43, 71, 41687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(1\/8)\/(p**(-2\/5)*p**(2\/5))*(p\/(p**(1\/4)\/p))**(-16)\/(p\/(p**(-4)\/p)*p*p\/(p**(1\/4)\/p)) assuming p is positive.\nAnswer: p**(-295\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -5.\nAnswer: -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52378137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-30))\/((9\/(-2))\/(-3))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*y - s + 14, 5*s - s + 1 = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 583 and 879476?\nAnswer: 512734508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 + -0.2. Let q be ((-32)\/(-10))\/(-5 - -3). Let t = 69\/40 + q. What is the biggest value in i, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, 25, 72, 137, 220?\n\"Answer: 9*c**2 + 2*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 - 115543067753\nAnswer: -115543067752.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/79324850 and -24\/34045.\nAnswer: 79324850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 10*k + 96. Let y be w(-15). Suppose y*j + 64790 + 168100 = 0. What is j rounded to the nearest 100?\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.000006 + -11. What is r rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8768472 to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -13163, -2.\nAnswer: -13163, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 149614*d*w**2 - 82717*d + 2 wrt w.\nAnswer: 299228*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20050 and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-48))\/((-1)\/2)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 42. Let c = o + -41. What is the nearest to c in 0.06, 1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -2501122514?\nAnswer: -2501122514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 2*a + 6, -7 = 3*a + 5*q - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*r - 35*r + 62*r)*(47*r - 117*r + 47*r).\nAnswer: -276*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v + 27. Let m be c(-6). Suppose -4*l + 5*l = m*i + 24, -i = 0. Is ((-134)\/(-12))\/(4\/l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - 2*a + (-3 + 3 + 2*a)*(-5 + 5 - 8))*(2 - 5 - 2) + (-4*a + 4*a + a)*(0 + 3 - 1) + 0 + 0 + 2*a + 3*a - 4*a - 2*a.\nAnswer: 91*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0116633 rounded to 4 dps?\nAnswer: 0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4945.9 - -4947. Sort -0.3, d, -3\/52 in decreasing order.\nAnswer: d, -3\/52, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132234 divided by -44078\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14196 divided by -13\nAnswer: -1092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.89000119 - -2.89. Round o to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 762, 829, 896, 963, 1030?\nAnswer: 1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 546212, 1092424, 1638636, 2184848, 2731060, 3277272?\nAnswer: 3823484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 837813*i**3 - 50*i**2 + 116288370?\nAnswer: 2513439*i**2 - 100*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37.29103 + 37.461. Round n to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqpqpkq. What is prob of picking 1 k and 2 q?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1934926688850*p + 816*p**3 + 1934926688850*p.\nAnswer: 816*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or 3875714?\nAnswer: 3875714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 543269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1106, 2000, 2896, 3794?\n\"Answer: m**2 + 891*m + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 + (-3054)\/(-1521))*12*45\/(-20) and 8\/1859.\nAnswer: 1859","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15524 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 8\/(-4))*(2 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 305*l**6\/2 - 8581*l**4\/12 - 9*l - 18. Find the third derivative of t(c) wrt c.\nAnswer: 109800*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 - h**2 + 5*h**2 + (-6*h - 14 + 14)*(-h + 3*h + 0*h).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8196 (base 16) to base 14\nAnswer: -c138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*p**5 + 39*p**2 - 9*p**5 - 5*p**5 wrt p.\nAnswer: 780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f - 1. Let d be c(1). Suppose -d*x - 7374 = -x. Let v = 1058 + x. What is v rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 39 = -7*p, -3*p = -97*x + 98*x + 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -62, -2, 0 in descending order.\nAnswer: 4, 0, -2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -2 - 1\/4*q**4 - 4*q + 0*q**2 + 0*q**3. Is 18 a factor of x(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760*u - 288 = -904*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 less than 1586\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 0*r**2 - r**2 + 2*r**2 + 0*r**2 - 24*r - 21. Let n be s(16). Let j = 216 + n. List the prime factors of j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*d + 4*d, 4*q - 99 = -5*d. Solve 33 = q*b - 32*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p - 20. Suppose -p*t + 26 + 9 = -g, -t - 203 = 4*g. Round g to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -3. Let b = 0.09 - 5.09. Let k = s + b. What is the closest to 3 in 1\/3, k, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 143*k**8\/4 - 10*k**4 + k**3\/3 + 3736*k. What is the third derivative of u(l) wrt l?\nAnswer: 240240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*d + 503 = 54*d - 8805 - 5452 for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*((-3*2*sqrt(80))**2 + 0))*6.\nAnswer: -103704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + -3.7. Let q = -0.13 - -0.83. Let b = q + -0.2. Put 3\/4, b, x in decreasing order.\nAnswer: 3\/4, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*3\/60*148\/(-111))\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 656418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*h**4 + 2*h**3 - 101693*h**2 + 348774*h wrt h?\nAnswer: 96*h**2 + 12*h - 203386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*h - 11 - 13 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 6*v**2 + 3*v + 6. What is j(-7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1522329?\nAnswer: 3, 43, 11801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9750 and 139350?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -769, -5432, -14015, -26518, -42941?\nAnswer: -63284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (48\/28)\/((-2)\/1169). Let x = 17 - w. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/38 - (-505556)\/22762?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -573 = -w - 3*m, 7*w - 12*w = m - 2823. Calculate the lowest common multiple of w and 3.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p + 69. Let f be m(-11). Suppose 4*j - f*j + 10*j = 0. Solve 0 = -3*x - j*x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174 and 985980.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.096 + 1423712111.\nAnswer: 1423712106.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 503 + -500. What is the nearest to -1\/4 in 2, -0.7, i, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14650 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26840)\/(-3300))\/((-7)\/((-735)\/(-14)))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**6\/120 + 25*c**4\/24 - 4*c**2. Let g(t) be the second derivative of n(t). Let q(s) = -6*s. Calculate q(g(d)).\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 11*c + 1. Let o(f) = -5*f + 4. Let a(z) = 99*z - 81. Let b(l) = -4*a(l) - 81*o(l). Determine b(i(s)).\nAnswer: 99*s + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6074 - -965675\/159. Let h = 5\/53 - j. Factor -2\/3*y - 2*y**2 + h*y**3 + 4\/3 + 2\/3*y**4.\nAnswer: 2*(y - 1)**2*(y + 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -550191000 to the nearest one hundred thousand.\nAnswer: -550200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1629*b + 4*b**3 + 7*b**3 - 1627*b + 2*b**2 to the form z*b**2 + h + r*b + p*b**3 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-6)*((-6)\/4)\/((-175)\/(-280))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 8 - (6 - (-17 - -7 - -30)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5.786 times -0.0551\nAnswer: 0.3188086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**2\/3 - 21530*b\/3 - 21532\/3 = 0.\nAnswer: -1, 10766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26470.\nAnswer: 2, 5, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = w - 3*o, o + 7 = 2*w - 4*w. Suppose l - 9 = -2*l. Let b = -10 - -5. Sort b, w, l in ascending order.\nAnswer: b, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 22\/5*m**3 + 16\/5*m + 0 - 52\/5*m**2 = 0. Calculate m.\nAnswer: 0, 4\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.6730488 or 113?\nAnswer: -0.6730488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2122411 + -3026994. Let n = 2114583 + k. What is n rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23929*r**3 + 23929*r**3 - 3*r**2 + 226 + 6*r**4 as y*r**2 + p*r**3 + k*r + w + b*r**4 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-2 + ((-5266574)\/157992)\/(100\/(-6)))?\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 0*f**6 + 0*f**2 + 0*f + 0*f**5 + 13\/7*f**7 + 0*f**4 - 5*f**3 - 9. What is the third derivative of k(v) wrt v?\nAnswer: 1560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 + 10*n**2. Let j be r(-5). Solve j = 2*q + 2*q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -651*j + 1. Let g(s) = 59*s**2. Calculate g(l(f)).\nAnswer: 25004259*f**2 - 76818*f + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -39*b**2. Let v be 1*(-3)\/6*-2. Determine x(v).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (2*sqrt(192)*-2)**2 - (sqrt(192) + -4 + (sqrt(192) - (sqrt(192) - (sqrt(192) - 4*sqrt(192))))**2))*-3*6.\nAnswer: 86328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -8 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -1.7, 0.23, 5?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 126\/105*(-665)\/(-3). What is the closest to r in 1, 2, -3\/8, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2. Let i(c) = c - 1. Let v(t) = 23*t + 6. Let g(b) = 6*i(b) + v(b). Calculate x(g(z)).\nAnswer: -841*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1970*a**2 + 21*a - 16. Let z be p(16). What is z rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**2 - 569424*s - 20265230736 = 0.\nAnswer: -71178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/2 at most as big as 5706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201750?\nAnswer: 2, 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 95*q + 2 - 382. What is the smallest value in 36, -1, q, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/855 and -48\/1615.\nAnswer: 14535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*d = 9, -s = -3*s + 4*d - 12. Suppose -s*g + 5 = -163. Suppose g = -4*i + 6*i. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2403 + 4877. List the prime factors of s.\nAnswer: 2, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (43 - 61) - (11 - (-2 + 0))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 0*c**4 + 0 - c**2 + 0*c + 0*c**3 - 1\/30*c**5 + 1\/120*c**6. Find b such that k(b) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-9) - 120\/(-18). Let m(o) = 3 + c + o - 10. Let a(t) = t. Calculate m(a(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, m: 1, y: 4, f: 1}. Give prob of sequence bmfb.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5 + 9*k**4 - k**3 - 9*k**2 = 0. Calculate k.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 3 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + 0.3. Let a = 0.6 - v. Which is bigger: a or -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18795 + -11039. Suppose -27*x + 35269 = y. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-3)\/(-96)*16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28+-2154\nAnswer: -2182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 600859642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 70.\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3984)\/18592*14\/(-22)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 10 = -3*k, 6*k - 11*k + 24 = h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944 is divided by 338?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86 - 6*v + 86 - 2*v to f*v + h and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(sqrt(156) - 2*sqrt(156)) + sqrt(156) - sqrt(156))\/(-4*sqrt(60)\/sqrt(5)) + 3.\nAnswer: -15*sqrt(13)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -1\/7 (c) -1\/9 (d) 23.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Let h be m*((-4)\/(-2))\/2. Suppose 12 = -h*g + 30. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6796 is divided by 2262?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 43*g - 213. Calculate o(6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16598\/4301805 + -8\/4255. Let q = 37423\/8088 - f. Calculate the common denominator of 1\/(-3)*11\/3 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 570184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2813880 and 1441.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 8*s**2 + 5*s - 26. Calculate p(9).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 19 = -0*a - 3*a, -5*j - 15 = 5*a. Suppose -q - q - j = 2*p, q = -2*p. Solve b + 1 + p = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (405\/(-36))\/((13650\/360)\/(-91)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.72828 to 2 dps.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63256701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2. Let n(j) = 2*j**2. Suppose 0 - 6 = 2*z. Let d(k) = z*b(k) + 3*n(k). Let w(p) = 2*p**2. Determine w(d(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13004 - 5?\nAnswer: -13011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 21*j + 26. Is i(14) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 58 + -43 - 52.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 0, -24, -62, -114, -180?\n\"Answer: -7*x**2 + 11*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 36. Let k = 1 - 0. Which is greater: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (20 + -44 - 1 - (0 + 3)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a + 5*a)*((24 + 13 - 54)*(0 + 4*a + 0) - 4*a - 4 + 0 + 2).\nAnswer: -288*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1\/3, 38, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -61, -90, -139, -214, -321, -466?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1041 and 117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*l, -57*r + 53*r + 5*l = -5. Let q = -0.41 + 0.01. Which is the nearest to 1\/4? (a) 1\/5 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.4169 take away 0.084411209?\nAnswer: 64.332488791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60782, -243006, -546648, -971702, -1518162?\nAnswer: -2186022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -19*j - 29. What is i(0)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in decades?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*d - 8. What is the units digit of -2*12\/(-8)*d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + 3.8. Let x = 101 - 105.3. Let m = x + b. What is the smallest value in m, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2646 - (-11 + 41)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 471630487 to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121.8 + -57.7. Let x = z + -70. Let q = 6 + x. Is q at least as big as 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*a**2 + 39*a**3 + 8*a**3 + 54*a**2 - a**3.\nAnswer: 46*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - ((-2)\/2 + 2). Suppose 0*u = 3*n + 2*u + 11, 4*n - u = -11. Put c, -2, n in increasing order.\nAnswer: n, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 25 = 0, 2*c - c + 2 = -3*o. Let x be o*(1 + 0) + 0. Are x and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 73542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**7\/3780 - q**5\/20 - q**4\/12 + 24*q. Let m(l) be the third derivative of g(l). Suppose m(a) = 0. Calculate a.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2)*c)\/c)\/c)**(-6)*c**(-5)\/(c*c\/c**(-2)*c*c) assuming c is positive.\nAnswer: c**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93043962*a**3 + 293934088*a**2 wrt a?\nAnswer: 558263772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-7 + (5 - -9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (-4)\/2 + (-7 - -5). Let u(p) = p**2 + 2*p + 3. Let w(j) = 3*j**2 + 6*j + 8. What is f*u(m) + 3*w(m)?\nAnswer: m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 8 = 5*c. Solve b + 4*b + 11 = c*x, 4*b = -5*x + 11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 18 = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54420.279507 + -22.2?\nAnswer: 54398.079507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 616.3008 grams?\nAnswer: 616300.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/41? (a) -13 (b) 1\/2 (c) 0.4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**6 + 25*i**3 + 52*i**2 wrt i.\nAnswer: 120*i**3 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 45 = -9*f - 13*d, -f - 3*d + 5 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*v**3 - 195705*v**2 + 85*v**3 + 195705*v**2.\nAnswer: 59*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 12:38 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13897cc (base 13) to base 9.\nAnswer: -12574441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*h**2 + 36*h**2 + 36*h**2 - 63*h**2.\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 35*w**3 - 46*w**2 + 6*w + 6. Let p(a) = -104*a**3 + 137*a**2 - 17*a - 17. Let h(y) = -6*p(y) - 17*t(y). Find the third derivative of h(n) wrt n.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 30410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318 divided by -1.\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1780 - 75d?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/(-45486)*-494 + 1\/(-3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - -79) + (2 - -1). Suppose 0*n + 60 = 2*n. Calculate the highest common divisor of a and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339701*u**3 + 602783*u**3 + 362296*u**3.\nAnswer: 625378*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2. Let x(t) = 13*t**2 - 7. Let k(v) = 3*m(v) + x(v). Find the first derivative of k(u) wrt u.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*g - 0*g. Let n = 3 + g. Is (-3 + n\/(-2))*76 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11468795?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**3 - 2*z**3 + 3*z**3 + (2*z**2 - 5*z**2 + 2*z**2)*(z - 5*z + 2*z) + 11*z - z**3 - 78*z + 2*z**3 as s*z + a*z**2 + r*z**3 + x and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4)*(23 - -15). Calculate the highest common factor of 19 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**0*c**(5\/6)*c*c**(1\/3)\/(c**(2\/7)*c)*(c**(-6)\/c*c*c*c**7)\/(c**(-1\/3)*c\/c**6) assuming c is positive.\nAnswer: c**(129\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*5\/(-2)*6\/(-30). Suppose -5*d - g*w - 100998 = -10*d, 100978 = 5*d + 3*w. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1825.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*u = -20, -5*u - 1 = -3*t + 13. Calculate the greatest common factor of 88 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 25 = -2*i - 5*h, 2*i = 5*h + 5. Differentiate -1 + 2 + 18*f**4 - 5 - i*f**4 with respect to f.\nAnswer: 52*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401*i - 25 + 10 + 15.\nAnswer: -401*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/6)\/z**(1\/4))**(-23) assuming z is positive.\nAnswer: z**(-161\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3241*d**2 - 3982 + d + 7931 - 3854 wrt d?\nAnswer: -6482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anwi when four letters picked without replacement from nnwibanwnwbwwinnbw.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 778099792 to the nearest integer?\nAnswer: 27894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - (sqrt(110) - sqrt(110)*-3 - sqrt(110)))\/sqrt(10)*-6 + -4.\nAnswer: -4 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*j**3 + 28*j**3 - 273*j**3 + 11 + 11 - 22.\nAnswer: -202*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-18)*-4*-6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 5:54 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -257, 367112.\nAnswer: -257, 3, 367112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, -8\/5, -0.4, 85?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -14*b**2 + 11*b + 2. Let h(f) = -17*f**2 + 13*f + 3. Let w(j) = 5*h(j) - 6*v(j). Let z be w(0). What is g in 2\/3 + 1\/6*g**z - 2\/3*g - 1\/6*g**2 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -7, -35, -85, -163, -275?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**4\/4 + 2*q**3 + 7*q**2\/2 + 5*q + 2. Let y be n(7). Let t(h) = 2*h - 2. Let z be t(3). Sort 1, z, y in increasing order.\nAnswer: 1, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.252 - 436925.5.\nAnswer: -436925.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Suppose -t - q = -2*t. Suppose 2*u + t*u = 24. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o**2 + 68*o - 70. Give l(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1377) + ((sqrt(1377) - (-4*1*sqrt(1377) - sqrt(1377) - sqrt(1377))) + sqrt(1377))**2).\nAnswer: -176256 - 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 0.1, 53?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3512, -13971, -31398, -55787, -87132, -125427, -170666, -222843?\nAnswer: -281952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.40696, -2\/9, 0.07, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6325947 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.5, -60, 2\/9, 43\/3?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6035 (base 8) to base 11.\nAnswer: 236a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**4 + 7*c**4 - c**3 + c**4 + (-2*c + 2*c - c**2)*(2*c**2 - 4*c**2 + 0*c**2) + 4*c**4 + 3*c**4 - 2*c**4)*(43 - 43 + 11*c).\nAnswer: 121*c**5 - 11*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 + -4a9?\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 3d0ec?\nAnswer: -3d0ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 8. Let y(k) be the second derivative of k**2\/2 + k. Let j(i) = -58*i - 56*i - 53*i + 5 + 166*i. Determine w*y(n) - j(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Let g = -7 + 8. Let d be (g\/(-8))\/(4\/8). What is the nearest to d in r, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2242721 to the nearest integer?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -17. Is (-4 - -3) + (449 - z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*k + k = -24, -2*k = -2*t + 24. Suppose -6*n = -9*n + t, -y + 2*n - 6 = 0. Which is the third biggest value? (a) y (b) -4\/5 (c) -33 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 10. Let o(t) = -4*t - 18. What are the prime factors of o(w)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2770 and 201933?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3306280089 to the nearest 1000000.\nAnswer: 3306000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 8:47 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 (base 13) in base 8?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**4 + 116 + 3*f**2 - 43 - 372*f**3 + 4*f**4 - 38 - f - 33 as w*f + c*f**4 + k*f**3 + r + l*f**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and -79.\nAnswer: 2844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, -34.55, 196?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = 2*l + 60. Suppose -4*g + 3*g + 5*z + 686 = 0, -g - l*z = -695. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/4*15*(-112)\/(-350)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**3 - 14*b**2 - 14*b - 5. Let l(n) = 4*n**3 + 15*n**2 + 15*n + 6. Let x(q) = -3*h(q) - 2*l(q). Give x(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 140.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -3 (c) -53 (d) -170\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + a = -18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6, 43, 140, 327, 634, 1091, 1728, 2575?\n\"Answer: 5*o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - o + 6*o)*(9*o + 0*o + 2*o)*(-1 + 3 + 7).\nAnswer: 297*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228, -200, -1622, -4614, -9752, -17612?\nAnswer: -28770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = q - 0*q - 149, 3*a = -3*q + 219. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*n + 10, 0 = 3*k + 2 - 8. Suppose -n*d - 58 = 62. Let y be d\/21 - 6\/(-21). What is the third biggest value in 0, -10, y?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.9519t to kilograms.\nAnswer: 97951.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 1063*c - 1064.\nAnswer: (c - 1)*(c + 1064)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.7759056?\nAnswer: -0.07759056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137 (base 8) to base 5.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67054 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118 - 59. What are the prime factors of b?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 20. Let n(z) = -4*z - 7. Calculate the remainder when n(-5) is divided by 1 + 5\/(v\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 20 = 20, 1514 = i - 2*g. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - -2. Solve -2*t - y = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1285289*v**2 + 64*v - 1230 wrt v.\nAnswer: 2570578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h. Let n(f) = -33*f**2 + f. Give n(l(z)).\nAnswer: -33*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*o - 1. Let q = 123009 + -123010. Put o, 3, -26, q in ascending order.\nAnswer: -26, o, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/4674140 and 57\/28.\nAnswer: 32718980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.7 * 4.\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 338*h**5\/3 - 18408*h**4 + 21014*h**3\/3 + 9552*h**2 + 5216*h\/3 = 0. What is h?\nAnswer: -4\/13, 0, 1, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1704 + 4295. Is v a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1614*h = 1615*h + 3*n - 3, 0 = 3*h - 3*n + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 14 = -4*w - 1, -2*v + 13 = -5*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -251.832 to the nearest integer.\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -313496*p**3 - 2367*p + 2367. Let k(x) = -265*x**3 - 2*x + 2. Give 2367*k(c) - 2*m(c).\nAnswer: -263*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 44*q + 150. What is n(-50)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166 and 1079?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d**4*n - 10*d**4 - 507*d**3*n + 2*d**3 + 2*d**2*n + 937*d**2 + 48*d*n - d wrt d?\nAnswer: 144*d*n - 240*d - 3042*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2*z - 5*z)*((-3 + 3 - 2)*(1 + 4 - 3) - 3 + 6 + 1 + 0 - 3 + 5)*(3*z**2 - z**4 - 3*z**2).\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.82, -9.7, 2\/17 in decreasing order.\nAnswer: 2\/17, -0.82, -9.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63779.\nAnswer: 23, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14996409 and 1005?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8450 - -8494. Let f be 6\/((-4)\/(-2))*1. What is the remainder when l is divided by -2*18\/(-4) + f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14680913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(468)*-2 - sqrt(468)) + 5 - (sqrt(468)*2 + -4 + sqrt(468) + sqrt(468) - (0 + sqrt(468))*-6))**2.\nAnswer: -1404*sqrt(13) + 79173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(sqrt(45)*5 - sqrt(45)))\/(-2*sqrt(1296) + sqrt(9) + sqrt(441)*-2).\nAnswer: -sqrt(3)\/444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s + 2. Let f be o(1). Suppose 2*x - 4 = -f. Does 10 divide -4 - (-26 - (-4)\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1564144 and 3328?\nAnswer: 325341952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 242 * 0.13\nAnswer: 31.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 6. Let k = y - -43. Suppose 4*b = 4*j - k - 4, 4*j = -4*b + 16. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 595\/(-595)*(-1)\/2*36\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r + 5*r + 0*r + 3*r. Let t be 9\/12 + 18\/8. Let x(z) = -7*z - 2*z + t*z. What is k(x(o))?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46233705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 2*x**3 + 8*x + 1. Find the first derivative of p(g) wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7))**17*(g**(-3)\/g)\/g**(1\/4))\/(((g*g**0)\/g)**(-18)*(g**(-1\/3)\/g)\/g**(-6)) assuming g is positive.\nAnswer: g**(-1157\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 19, -2\/3.\nAnswer: -2\/3, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 21. Let n be l(-25). Solve -4 = 4*o, -n*p - 14 = o - 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 14 = -i. Let g be (10\/(-45))\/(12\/i). What is the nearest to g in 2, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**2 - 7*p**2 - 91*p**3 + 121*p**3.\nAnswer: 30*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*z - 74*z + 218*z - 70*z + z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12342 (base 5) to base 10.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4565781 is divided by 3372?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.6 + -19. Let q = -0.6 + d. Let t(f) = -f**3 - 15*f**2 - 58*f - 420. Let o be t(-13). What is the third smallest value in o, 0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/4 of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 3*p - p)*(8015 + 1363*p**3 - 8015) + (-4 + 4 + 2)*(p - p**4 - p).\nAnswer: 6813*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2950\/10219 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b*b\/((b*b**(-2)*b)\/b*b)*b)**(-2\/25)\/((b*b**(-2\/5))\/b*b)**(3\/5) assuming b is positive.\nAnswer: b**(-21\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6753 + 32*x - 6885 + x to l*x + n and give n.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 84046, 86944, 91770, 98518, 107182, 117756, 130234?\n\"Answer: -w**3 + 970*w**2 - 5*w + 83082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-6 + 91\/14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -146\/6703, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -252\/13, 1.69, 0.3, -1\/3 in ascending order.\nAnswer: -252\/13, -1\/3, 0.3, 1.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/29? (a) 0.3 (b) -4676 (c) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 51*u**2 - 51*u + 51. Let x be c(50). Solve 9*y - x = 17 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 12*o**2 - 2*o - 1. Let s be w(-2). Let q = -140 - -235. Suppose q = l + 4*l + 2*x, 5*x - 59 = -2*l. What is the greatest common factor of s and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21, 55, 117, 213, 349?\n\"Answer: d**3 + 8*d**2 + 3*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = u + 3, -4*y + 2*u = -2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 366 + 54. What is the common denominator of ((-146)\/j)\/(16\/56*3) and 47\/3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 99552, 100467, 101382?\n\"Answer: 915*r + 98637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1189\/4 + -302. Suppose -3*y = -2427 - 285. Let j = y + -9027\/10. Calculate the common denominator of b and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210 divided by -42.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2301947876?\nAnswer: 2, 179, 3215011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 88*q + 165. Determine a(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 790, 3330, 7642, 13732, 21606, 31270, 42730?\n\"Answer: y**3 + 880*y**2 - 107*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 2\/(-2))*2. Suppose 4*w = 7*n - 2*n - 29, 2*w = c. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -15, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 81\/8?\nAnswer: 81\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -18*p + 1335. Calculate c(72).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 8 = -u, 0 = 5*u - 5*b - 0*b - 60. Calculate the remainder when 54 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -41.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4595 + 4576. Let d = -184 - -274. Let t = d + b. List the prime factors of t.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10529, 10530, 10533, 10538, 10545, 10554, 10565?\n\"Answer: h**2 - 2*h + 10530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 2, u: 6, g: 2, w: 3, i: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -692 bigger than -690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11749095*n**2 + 5874545*n**2 + 5874552*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1 - 6 - (19 + -20)) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -11.5. Let r be (-69)\/15 - (-2)\/(-5). Let n = -4 + 8. What is the third smallest value in r, w, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 + h**2 + h + 11. Let c be p(0). Let t be ((-3 + c)\/4)\/(4\/16). Suppose 564 = t*f - 660. What are the prime factors of f?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*y - 9, 4*p + 2*y - 3 + 5 = 0. Let o be (1\/(-2))\/(p\/36). Let l = 0 + o. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 3*n**5 + (4 - 2 - 3)*(-n**5 + 2*n**3 - 2*n**3) + 322*n**5 - 78936*n**3 + 78936*n**3.\nAnswer: 326*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12b99 + b?\nAnswer: 12ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3 + 4 = 3*y, -3*y = 2*z + 17. Let t be (-138)\/9 + 42 + -26. Which is the nearest to t? (a) y (b) 5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1214 = -2*o, 10*o = 14*o + q - 2435. List the prime factors of o.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 12 (b) -6 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*3.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*i + 311 = 2*a, 0 = a - 3*i - 160. Let p be ((-682)\/155)\/(2\/40). Let d = a + p. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, -0.6, -1, 0.4, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-12))\/((-4)\/16). Suppose 5*d - 8*c = -b*c + 1450, -286 = -d + 2*c. Does 49 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6523, -14453, -22383, -30313, -38243, -46173?\n\"Answer: -7930*o + 1407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/13, 2.312, -1.42?\nAnswer: -1.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**5 + 1513580*q**4 + 114546220805*q**3 - 4540750*q**2 - 343641689620*q - 229092441640 = 0.\nAnswer: -151358, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12)*12\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -379 + -166. Round p to the nearest 10.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 27. Let s be 6\/(-9)*(-1 + 26 + -4). Let x = -1 - s. What are the prime factors of p(x)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 514*o = -513*o - 7, -6*o = 2*v - 38. Let d(a) = -a - 3. Let t(q) = q + 2. Let p(b) = -3*d(b) - 5*t(b). Give p(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 585*i**2 - 197*i + 20. Let m be j(-7). What is m rounded to the nearest one hundred?\nAnswer: 30100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58187 divided by 6.\nAnswer: -58187\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436252?\nAnswer: 2, 109063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 3. Let g be o(1). Let r be 9\/6 - (3 - g). Suppose -7\/4*f**2 + r*f + 0 + 5\/4*f**3 = 0. Calculate f.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8251 * -0.01.\nAnswer: -82.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejp when three letters picked without replacement from evvhjppvejjph.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -184 + 187. Suppose x*d = 5 - 14. Let l = -5 + 1. Is l bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 35 = -6*w - 5*l, w - 2*l = 5. Let x(d) = -d**3 - 3*d**2 + 4. Let o be x(-3). Let n(s) = 2*s**3 + 5*s**2 - 2 - o - s**3. Give n(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*31\/(-248))\/(275\/(-264))?\nAnswer: -9\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100380 by -3346.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t + 18. Does 15 divide p(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 292 = 48. Let n = u + -42. Is n a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -17*u + 79. Give x(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0 - 3. Let n be -3*1\/d*-1. Sort 3, -0.3, n in decreasing order.\nAnswer: 3, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 221.1 - 221. Is -1.08 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 16 = 5*f - 9*f, 4 = -f - 4*k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/5, -0.2, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, f: 2, g: 1, k: 1}. What is prob of sequence ffg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*i**3 - 3*i + 67*i**3 + 5*i + 1 as r + s*i**2 + z*i + a*i**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((36\/(-42))\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -47. Solve 25 = -u*v + 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.3 - -1.3. Suppose -3*h = -2 - 4. Let q be (h\/(-12))\/(2\/8). Sort p, -4, q in decreasing order.\nAnswer: q, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77651865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + y + 36 = 0. Let h be 1\/4 + (-27)\/y. What is the common denominator of -69\/4 and -3 - (51\/8 - h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -4*x + 5*b, -157*b = 5*x - 152*b - 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (25\/15 - -1)*27. Is n less than or equal to 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -0.88 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 5*n - 5. Let v(o) = -1 - 5*o + 6 + o**2 + 2*o**2 - 4*o**2. Let j be v(-5). Let z be h(j). Put z, 3, 0 in descending order.\nAnswer: 3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15752150 (base 8) to base 11.\nAnswer: -2079a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 2) + (22 - (-19 + 42))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -9. Suppose 27*m - 18 = 21*m. Do n and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83510?\nAnswer: 2, 5, 7, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*o**4 + 28 + 25 - 135*o**4 wrt o.\nAnswer: -556*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 18 - 2 = 4*b, 4*b - 2*t = 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 799\/(-282) - ((-3)\/(-2) + -1)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6609 smaller than 6644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 421317163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 2 - 5\/2*p**2 - 1\/12*p**4 + p + 1\/6*p**3. Let a(v) be the first derivative of u(v). Determine a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003212228 rounded to 7 dps?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4895)\/(-110) + -45)\/(3\/(2 + 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*h**5 - 22*h**3*v + 2256*h**3 - 4*h**2*v - 32*h**2 - 12*h*v + 6*h + v + 1 wrt h.\nAnswer: 3300*h**2 - 132*v + 13536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2 - 528*t + 526 = 0.\nAnswer: 1, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1794 and 76820.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v**2 - 4*v - 10. Let d(a) = 11*a**2 - 7*a - 20. Let g(x) = 4*d(x) - 9*m(x). Let u be g(9). What are the prime factors of (u\/3)\/((-7)\/(-42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-192)\/21 - -8)*2\/((-40)\/385).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 12, 5*l - 5*v = -0 + 30. Suppose -h + l = -0. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Is u != 0.052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48831?\nAnswer: 3, 41, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is f (base 16) in base 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2778402 and 1815?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**2 - 4508*g - 9032 = 0.\nAnswer: -2, 1129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-102 - -72 - (28 + 2))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, s: 4, d: 4, m: 4}. Give prob of picking 1 s and 2 z.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*f = 11. Let o(j) = -j**3 + 12*j**2 - 9*j - 16. Let x be o(f). Let s = x + -293. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000016284 rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -9. Let n(d) = 8*d - 4. Let q be n(3). Let k = q + u. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j - 293 = -53 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 338369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.86 + -0.14. Which is the fourth biggest value? (a) o (b) -4 (c) -2 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 4*y**2. Suppose 4*l - 5 = -25. Let r be n(l). Let o = -24 + r. Which is the second smallest value? (a) 0.6 (b) o (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5153831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -461.683401 to the nearest 10.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (96\/(-18) - -5)\/((-1)\/9). Suppose 4*o = 2*b + 5399980, -g*b - 8099985 = 3*o - 6*o. What is b rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 10*t**2 + 5*t + 8. Let i(k) = -35*k - 780. Let h be i(-22). Calculate v(h).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*(-640)\/(-3000))\/((-2)\/(-10)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) -44 (b) -1\/770 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7053 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -11*g**2 - 11*g + 13. Suppose -2*c - 9 + 3 = 0. Let w be r(c). Is -53 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*x - 100. Let t(w) = w**2 + 5*w - 2. Let v be t(-6). Suppose -4*r = n - 47, 3 = 2*r - 5*n - v. Calculate the remainder when x is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162741.\nAnswer: 3, 17, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 21222?\nAnswer: 21220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 5. Let t(d) = 1. Let k(q) = p(q) + 6*t(q). Let x be k(-4). Suppose 4*n = x*n - 3. Which is the third biggest value? (a) -4 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -n + 4 - 3, 0 = 3*n - 3*o - 6. Suppose -12 = -k - n*k. Solve 1 = -k*m - 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4122 is divided by 1030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 - -1113340?\nAnswer: 1113369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 3:06 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89 and 1246?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25257 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.51 and -639118?\nAnswer: 639112.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1575)*-3 - sqrt(1575)) + -1.\nAnswer: -60*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y + 5*u + 15, y + 5*u + 9 = 0. Is 2\/5 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -u + 3*q, -3 = q - 0. List the prime factors of u.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/920838 and -29\/33?\nAnswer: 10129218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/14, 2, 2\/9?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48517 or -48531?\nAnswer: -48517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qttttqtxqqtxqxtxt. Give prob of sequence qqq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 3.5. Let h = 0.3 + x. Let i = h + 0.199996. What is i rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, z: 5, p: 2}. What is prob of sequence pmmm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**5\/12 - 5*m**4\/24 + 4*m**2. Factor c(s).\nAnswer: -5*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i - 6. Let v be k(4). Suppose v*q - 39 = -11. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2917810 + 1400810. What is m rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -19 (c) 2\/21 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 3:24 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39083\/140 + -1944\/7. Let b(v) be the second derivative of 7*v - 23\/2*v**2 + 0*v**4 + i*v**5 + 0 + 0*v**3. Differentiate b(l) with respect to l.\nAnswer: 87*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58052024*d**3 - 2592037*d**2.\nAnswer: -348312144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-42) + 308\/165)\/((-4)\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, l: 10}. What is prob of picking 4 l?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.101 - 0.09. Let g = -0.01099967 + u. What is g rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-1 + 3) - -219. Suppose -655 = -6*q + q. Let z = t - q. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -323.35 - -340. Let b = 17 - i. Let s = b + 0.05. What is the third smallest value in -2, 2\/3, s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26486013.\nAnswer: 3, 491, 17981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j + 2 + 5 + j**2 - 4. Let s be h(-7). Let p be 4\/(-6)*s\/2. Which is greater: -1\/3 or p?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*n**3 + 45619*f**3*n + 825*f*n**3 - 2*f*n + n**3 - n**2 wrt n.\nAnswer: -6*f**3*n + 4950*f*n + 6*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.251 + 106.251. Let b = -106.43 + i. Let f = b + 0.430099. What is f rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -119478350 to the nearest one million.\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*(sqrt(1584)*4 + sqrt(1584) + 2 - (sqrt(1584) - (sqrt(1584) - (sqrt(1584) - sqrt(1584)*-3)))*-5)**2)*2.\nAnswer: 4800*sqrt(11) + 3960024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + -27 - (-4 - 10)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lclllllccclc. Give prob of sequence lcl.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8040 or -8014?\nAnswer: -8014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 e when three letters picked without replacement from {e: 1, r: 7, v: 2, o: 3, m: 3, z: 1}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 436225 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400*y**5 - 41580*y**4 - 266444*y**3 + 310816*y**2 - 110064*y + 12416 = 0. Calculate y.\nAnswer: -97, -8, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -80*y**3 + 11*y**2 + 7*y - 10. Let n be z(-11). Let u = -268724 + n. What is u rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5390248?\nAnswer: 2, 673781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0523 - -5.0523. Let y be (-5)\/(-45)*1\/1. What is the third biggest value in y, 1\/6, -2\/7, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 756.5 - 756. Let s = 1 - 1.3. Sort s, -2, -4, t.\nAnswer: -4, -2, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {d: 4, x: 5, j: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**5\/3 - 344*c**4\/7 - 125918*c**3\/21 - 158336*c**2\/21 + 71368*c\/7 + 71168\/21 = 0?\nAnswer: -64, -2, -2\/7, 1, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60*((-4)\/2)\/(1 - 3). Let w = d + 24. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 16*b**3 + 12*b**2.\nAnswer: 4*b**2*(b - 3)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.68 * 3.91.\nAnswer: -2.6588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 158*b**2 - 139*b - 23019. Give v(-78).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -15 - 3)\/((-2)\/2). Suppose -20*w + 1299 = -h*w. Is w a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 2)*(-5*g**2 - 5*g**2 + 4*g**2)*(2*g + 4 - 4) to the form b*g**2 + n*g**3 + f + h*g and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**3 - 5*k**2 - 10*k - 10. Let u(n) = 2*n**3 - 2*n**2 - 3*n - 3. Let x(p) = -10*u(p) + 3*v(p). What is d in x(d) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 2284 = 8368. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 27. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-7 - -4)) + -89 + 97?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(35)\/sqrt(5) + 0 + 5 - -4*(5 + (sqrt(112)*-3)**2).\nAnswer: -5*sqrt(7) + 4057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/k**0)**(-11\/4)*(k*k**(-9)\/k)\/((k\/(k*(k**14*k)\/k))\/k))**(-12\/5) assuming k is positive.\nAnswer: k**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w - 5. Let s(d) = -d**2 - 3*d - 1. Let v be s(-4). Calculate the remainder when u(v) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -2811\nAnswer: 84.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (61 + 133 - 215) + -1 + 2 + -38?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 11*x**2 - 47*x + 28. Give v(-14).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 959482.08000186 - 959482. Let j = -0.08 + a. What is j rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4215 + 4218. Solve 2\/17 - 2\/17*d**4 - 4\/17*d**w + 4\/17*d + 0*d**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25\/3 - 9. Let k = 0.95418 + 0.04582. Let p = -3 + 2.9. Which is the nearest to 0.1? (a) j (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -210*z + 212*z - 1456, 4*z - 2912 = 4*u. Which is smaller: 0.4 or z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -44. Suppose -2*o + m = -3*p - 14, -54 = -3*o + 3*p. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/16 of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1002?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -11 (b) 1\/3 (c) -2 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11115*z**3 + 1712*z - 750*z**3 - 3418*z + 1706*z.\nAnswer: -11865*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 36?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 24000001*i**5\/60 + i**4\/4 + 5*i**3\/6 - 9*i**2. Let m be s(-1). Round m to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2047\/7 + 293. Sort 3\/2, u, -5 in decreasing order.\nAnswer: 3\/2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/81 + ((-3149)\/52260)\/(9\/4).\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94208477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40.00407 and 0.13?\nAnswer: 5.2005291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.18917 - -0.167944. Let r = 109.079 + -109.1. Let s = o - r. Round s to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 + -6.3. Let m = 4.9 + s. Let n = -0.05 + 0.45. Which is the closest to m? (a) n (b) -4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 193*c + 198*c - 38, -2*k + 2*c = -38. Calculate the highest common divisor of 16 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 4:43 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5008, -10036, -15064, -20092?\n\"Answer: -5028*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 687, 1324, 1961, 2598, 3235, 3872?\n\"Answer: 637*c + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 6*a - 5, -4*t - a + 101 = 105 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5 = i - 33, 3*a = 2*i + 10. Let x(r) = -r**3 + 8*r**2 - 4*r + 14. Does 20 divide x(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 357.8642 centimeters?\nAnswer: 3578642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -521*c**2*s - 9581*c**2 + 26993393*c*s wrt c.\nAnswer: -1042*s - 19162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 - 2*j + 1. Let z = 22 + -21. Let l be n(z). What is the highest common factor of l and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -5*q**3\/3 + q**2\/2 - q - 34. Determine t(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4214 and 5882142?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3284*m - 4317*m + 2848*m - 2349*m - 1 as c + g*m and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from emukeceuueepeukuk. What is prob of sequence mpuk?\nAnswer: 1\/3808","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -17*k**3 + 18*k**2 - 3. Let y = 65 - 62. Let u(h) = -18*h**3 + 18*h**2 - 2. Let a(t) = y*u(t) - 2*x(t). What is the third derivative of a(b) wrt b?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22737 = -165*r - 7557. Which is bigger: r or 63?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 622 or 628?\nAnswer: 628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 28\/8*((-1224)\/(-56) - 19) + 2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2344582088 to the power of 1\/3, to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i + 1. Let k(n) = -9*n + 3. Let f(o) = -2*k(o) + 5*x(o). Let u = -2 - 1. What are the prime factors of f(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*f + 17. Let v(n) = n**2 - 6*n + 5. Let z be v(f). Suppose -z*g = -10*g + 30. What is the remainder when g is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19311*b = -38640*b + 19310*b + 342 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 + v**3 - 3*v**3 - 138*v**2.\nAnswer: -2*v**3 - 138*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101910 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 + 24*v**3 - 178*v**2 + 336*v + 539.\nAnswer: -(v - 11)*(v - 7)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 28 in ascending order.\nAnswer: -1, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q. Let l(u) = -168*u**2. Give l(n(k)).\nAnswer: -1512*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.77 + -1.38. Round z to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.2 times 0.25?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 9574 = -18714. Solve -12*l + 2260 - r = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in minutes?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0369718349 to three dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 y when four letters picked without replacement from ccyyy?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/21076 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y + 2*y - y + 6 - 4*y. Let x be a(8). Let m(l) = l**3 + 3*l**2 + 4*l + 2. Calculate m(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -470 divided by -5?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 23. Solve -3*c - 3*k + u = -7*c, 6 = -5*c + 2*k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2. Let l(n) = -44*n**2. Suppose -z = 2 - 7. Suppose z*b + 0 = -15, -d = 3*b + 11. Let p(x) = 11*x**2. Let g(v) = d*l(v) - 9*p(v). Give u(g(m)).\nAnswer: -121*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 10 - 4 = 0. Solve c - 4*c - h = 2*m, 5*m = 2*c + 23 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/537?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 56*t**2 - 75*t + 1. Let x(y) = 18*y**2 - y + 2. What is 3*x(o) - z(o)?\nAnswer: -2*o**2 + 72*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(5\/2)\/f*f)\/f*f*f*f*(f*f*f**0*f*f)\/f*(f\/((((((f**1\/f)\/f)\/f)\/f)\/f)\/f))**(19\/2) assuming f is positive.\nAnswer: f**(129\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84.121 + 0.121. Let k = l + 80. Which is the second biggest value? (a) 1 (b) k (c) 1\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -270 + -163383?\nAnswer: -163633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/3, 0.2, 8\/161?\nAnswer: 8\/161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4697 and 1098.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t - 3*t**2)*(5*t**2 + 2*t**2 - 5*t**2) - 957*t**3 + 957*t**3 - 52*t**4 - t**4 + 0*t**4 - 3*t**4.\nAnswer: -62*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/6 (b) -29.2 (c) 186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2*3\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 273 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 8020\nAnswer: -40100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44210513 - -2?\nAnswer: 44210515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 29*b**2 + 57*b + 2. Determine i(27).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -912*y - 2556. List the prime factors of u(-25).\nAnswer: 2, 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1191 divide 1940796455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.13 + 27. Let s = 5.13 + h. Suppose 10 = 3*f + p + 1, -5*f = -p - 23. Which is the nearest to -1? (a) 0 (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*z, 2*a - 510 = -5*z - 90. Let t = 486 - 314. What is the greatest common divisor of t and a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3885.15691 - 6.34691. Let a = -3896 + m. Let y = a + 0.19. Put -5, y, 5 in decreasing order.\nAnswer: 5, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 8*d + 3. Let k be x(7). Let j = k + 20. Calculate the lowest common multiple of 10 and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 585061, 1170125, 1755189?\nAnswer: 2340253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -1, 4 in decreasing order.\nAnswer: 9, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12cc8 (base 14) to base 11.\nAnswer: -31981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 12.4. Sort -0.1, t, 2 in descending order.\nAnswer: 2, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.06, -2.3, 6 in descending order.\nAnswer: 6, -0.06, -0.4, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 113757540 and 7800.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26, -162, -524, -1220, -2358, -4046, -6392, -9504?\n\"Answer: -18*a**3 - 5*a**2 + 5*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 16*u**2 - 16*u - 19. Let g be k(-15). Sort 5, g, 7 in decreasing order.\nAnswer: 7, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*a*d**3 + 3*a*d**2 - 210*a*d - a - 2*d**2 + 26 wrt d.\nAnswer: -102*a*d + 6*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 - 146 - 17*l + 86 + (-4*l - 3*l + 3*l)*(-1 - 2 + 2) in the form r + h*l and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 2*l + 3, l = -0*m + m + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -15*n**2 - 24*n - 4111. Let i(b) = -10*b**2 - 17*b - 2741. Give 7*i(d) - 5*s(d).\nAnswer: 5*d**2 + d + 1368","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -3*r - 0*r + 7, 0 = -2*r - 5*k + 33 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7593119689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -873274*g**5 + 1374956*g.\nAnswer: -17465480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -25062, -4, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**4 + 13*l**3 - l**2 - 13*l = 0.\nAnswer: -13, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in meters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*s - 46 + 32 + 58 - 31 as c + t*s and give t.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -1\/7 (c) -0.07 (d) 1159 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 125 - 126 = 0. Solve 5*s + 4*d + 6 = 0, -2*s - 2*d = -v + 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*o + 19*o + 8*o + 23 wrt o?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3. Let m be 3 - 3 - (u - 2). Solve z - 23 = -4*w - 2*z, -4*w + m*z = 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 100 - 40 = -13 + 27. Factor 13\/2*w + b + 3\/2*w**2.\nAnswer: (w + 2)*(3*w + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n + n)*(25*n**4 + 6364*n**2 - 6364*n**2).\nAnswer: -50*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94122 is divided by 125?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3552 divided by -3552?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30251278*a**2 + 54963648*a.\nAnswer: -60502556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 5*x + 25, -3*r = 4*x - 2*x + 49. Let o = r - -27. Let d(q) = q**2 - 12*q + 3. Let y be d(o). Solve -5*u + 5 = 4*i - y, 4*u = -2*i + 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/30*10*-3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 716 divide 33190515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 4:01 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 808665 equal to 808666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s**2 + 4*s - 18. Let p(l) = l**2 - l - 1. Let d(t) = -k(t) + 6*p(t). Let f be d(-11). What is the closest to -0.1 in -0.4, 0.04, f, 7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868984 bigger than 868986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-399)\/(-14) - 7 - 20?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0085685 to five decimal places.\nAnswer: 0.00857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 743*m**3 + 1977*m**3 + 1988*m**3 - 6.\nAnswer: 4708*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2723*v**3*z**2 - 5*v**3*z + 138*v**2*z**2 + 36*v*z + 2*z**3 - 131*z - 2 wrt z?\nAnswer: 5446*v**3 + 276*v**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 835 + -503. Let b be h\/12*6\/2. Determine u so that b*u**2 + u - 84*u**2 - 4*u = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 4198.3?\nAnswer: 25189.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p + 3*p)*(1 + 2 - 5)*(-p + p - 2*p + (-3 + 0 + 1)*(p + 0*p + 0*p) - 2*p - 4*p + 4*p - 2*p + 5*p - 5*p).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 8. Let h(i) = 9*i**2 - 1. Let x be h(z). Solve -6*s + s = 5*o, -5*o = 3*s + x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16801548 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 10:26 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 2:10 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.179 and -278928?\nAnswer: 278928.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmgmgmmgmgmmgmmgggg. What is prob of picking 3 g?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 7*x**5\/20 - x**4\/2 - x**3\/2 - 5*x**2 - 10*x. Let t be f(-7). Let p = 4461 + t. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen quarters of a hour?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 451*u**2 + 44937*u - 1610. Give l(-535).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b + 3. What is u(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.6 + 2.4. Let i = y - 24.065. Let b = i + 0.395. What is b rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-35504)\/(-24) + (-2)\/(-3) + 0. Round s to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/(-11) - 24\/(-132).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 3*g**2 - g + 2. Let k(m) = 1160*m**3 + 300*m**2 - 100*m + 200. Determine 100*f(d) - k(d).\nAnswer: -1060*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 1177243.\nAnswer: 226030656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 398480052 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mikmiikgg. What is prob of sequence img?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7\/3)\/((r*r**(2\/41))\/r))**(7\/2) assuming r is positive.\nAnswer: r**(-2051\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1239 is divided by ((-90)\/(-75))\/((-36)\/(-270)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*t + 1 - 76*t + 73*t - 10 in the form g + u*t and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-49))\/(214\/23968)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 86, 0.4, -774.5?\nAnswer: -774.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 10:02 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/4547 smaller than -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 384 = 600. Calculate the highest common factor of 3072 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-5)\/65*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 4*b + 5, k + 4*b - 11 = -b. Calculate the smallest common multiple of (-4)\/10 - (-416)\/40 and -6 - (1 - k - 26).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 19696?\nAnswer: 19696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -7752.\nAnswer: -1\/3876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5301 or 5305?\nAnswer: 5301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1298*p + 3534301 + 649*p + 650*p - 3534301.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-261)\/(-6)) + 24 + (231000\/1218)\/5?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - y**2 - 1. Let a(b) = -b**3 + 5*b**2 + 2*b + 4. Let w = 2 - 1. Let t(j) = w*a(j) + 2*g(j). What is t(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0 + 0)*(-10*d - d + 0*d)*(-41*d + 17 + 20*d - 18).\nAnswer: 462*d**3 + 22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33\/7 - 508\/35. Let r be (1 - -2) + 9\/(-9). Calculate the common denominator of ((-2)\/r)\/((-14)\/90) and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*s - 484 = -280*s + 1156. Let t(n) be the second derivative of 5*n**4\/12 - 2*n**3\/3 + 23*n**2\/2 - n. Is t(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 + 0.6. Suppose 4*k + 2*t + 7 - 9 = 0, -5*t + 5 = 5*k. Let j = -22 + 16. Which is the nearest to k? (a) d (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/5871 - -99763\/129162. Calculate the common denominator of t and -3\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3*v + 24, -4*l = -2*v - 6 - 20. Let p = -258\/77 - -40\/11. Which is the nearest to -1? (a) 2\/17 (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (sqrt(1584)*-1)**2 + -4 + (sqrt(1584) + (sqrt(1584)*-1)**2)*2.\nAnswer: 24*sqrt(11) + 4746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3642654 divided by -6\nAnswer: -607109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5 - 29 = 0. Let a be z*4\/6*-1. Let i be (42\/8)\/(1\/a). What is the greatest common divisor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5043 bigger than 202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50336)\/(-94050) + 10\/(-1125)?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -105, -153, -205, -261, -321, -385?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24170025 divided by 3.\nAnswer: 8056675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (195\/(-9))\/5*-3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 8:52 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 351762520 to the nearest integer?\nAnswer: 18755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 854785667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28634201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 10:57 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 3*q**4\/4 + q**2\/2 - 10*q - 12. Let x(y) = 4*y**2 + 1. Give 3*u(t) - 7*x(t).\nAnswer: -t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**2*f**3 - 9*c**2*f**2*l + 6*c**2*f*l - 2*c**2*l - 8311713*c*f**3*l - 3741*l wrt f.\nAnswer: 18*c**2 - 49870278*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - 57. Suppose -u*n = -123 + 93. Solve 4*x = -2*i + 3*i + 10, n*i - 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2 - 474*n + 4104 = 0 for n.\nAnswer: 9, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*d**2 + 8523*d + 3002 + 32*d**2 - 3002 to the form r + m*d + l*d**2 and give m.\nAnswer: 8523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17568521, -17568552, -17568583, -17568614, -17568645, -17568676?\nAnswer: -17568707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -451960\nAnswer: -11\/451960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -530, -528, -526, -524, -522?\n\"Answer: 2*p - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(-1*(sqrt(18) - sqrt(2))) - (3 + sqrt(342)\/sqrt(2)).\nAnswer: -7*sqrt(19)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 10*j**2 + 3*j**3 - 14*j**3 - 6 + 2153469*j - 2153477*j. Let r(v) = -10*v**3 + 9*v**2 - 7*v - 5. What is 6*r(l) - 5*s(l)?\nAnswer: -5*l**3 + 4*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i - 1696*i**2 + 1667*i**2 + 10*i - 2 + 0.\nAnswer: -29*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82 or 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 144*y**2 - 83618*y + 727. Calculate g(-370).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q - 4. Let g be a(3). Suppose 5*j - g*l = 173, 0*j = -2*j + 4*l + 66. What is the highest common factor of 14 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13901700 by -10.\nAnswer: -1390170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - -18. Let l = 24 + -9. Calculate the remainder when s is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21769525 divided by -4353905?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n - 8 + 1 - 10 - 4. List the prime factors of t(8).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 628 and 2263.\nAnswer: 1421164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*d + 2837 = 10437 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 241 + -240.8. What is the closest to 0 in 0.5, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, i: 7}. What is prob of picking 1 i and 3 n?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 1\/120*d**6 + 0*d**5 + 0*d - 1\/3*d**3 + 0 + 0*d**4 + 3*d**2. Differentiate f(o) wrt o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -25 + (-7 - 17) + 40?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31157797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-3 + 15)) + 6 + 0 + -6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6424?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3059028 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 23135?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.6 + 2. Let i = k + 0.52. Let s = i - -0.07995. What is s rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2*g = -8, -10*g + 23 = -2*f + 5*f + f - 15*g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h**2 - 2 - 8*h - 4*h**3 - 2*h**3 - 2*h**3 + 7*h**3. What is the remainder when l(9) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -29. Let u be i - 12 - (801 + 1). Let q = u + 1694. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 4*b - 3*b)*(-3002*b - 3159*b + 4571*b).\nAnswer: 4770*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 10. Let i be n(3). Let z be 8\/(-28) + 93\/i. Solve -5*l = 4*x + 21, -3*l + 0*l = 2*x + z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, e: 1, l: 1, j: 5, c: 1, p: 11}. What is prob of sequence cu?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/65*((-686)\/(-49) - (-253)\/(-22)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from memmkmmkekkemekmeee. What is prob of sequence kme?\nAnswer: 245\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 222657 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -158, -200, -242?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -14 - 7 - 5*k**6 + 12 - 7 + 8*k**2. What is the second derivative of x(y) wrt y?\nAnswer: -600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/233541 and -31\/111210?\nAnswer: 2335410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3473 is divided by 123.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -928617.49 rounded to the nearest 1000?\nAnswer: -929000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1069548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4959767?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001.6984 hours in weeks?\nAnswer: 65.4863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, -2\/45, -1 in ascending order.\nAnswer: -3, -1, -2\/45, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 13*w - 392. Let m be f(16). Is -369\/2 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-5))\/(205\/(-3075)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 3)*(m + 3*m - 2*m) + 4*m - 4*m + m + 3*m + m - 5*m)*(-6 + 0 + 2).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of ((-1657)\/2*-10 - (11 - 14)) + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788142.\nAnswer: 2, 3, 131357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**4\/7 - 1142*j**3\/7 - 378008*j**2\/7 - 37791232*j\/7 + 240603648\/7 = 0.\nAnswer: -652, -248, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20\/1361 - 2942\/14971. Let z be ((-11)\/2 + 4)\/6. Suppose 0 = -q + j - 4, -3*q + 3*j = 4*j + 28. What is the nearest to q in w, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/82 and -67\/123?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -9*x - k - 8, 7 = -3*x - k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2159 and 1651.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -497 divided by 88954?\nAnswer: -497\/88954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10*z**2 + 4*z + 3. Let a(c) = c**2 - c. Let x(o) = 2*a(o) + p(o). Suppose 18 = -61*w + 67*w. What is the tens digit of x(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 723 < 31143\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.3, -12, -2\/31.\nAnswer: -12, -0.3, -0.1, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1473 (base 8) to base 4\nAnswer: -30323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6*q + 45 = 0. Suppose -13*m - 20 = -q*m. What is the highest common divisor of 4 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464387 is divided by 4684.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4041577?\nAnswer: 47, 85991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 366724 (base 13) to base 3.\nAnswer: 2110000202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/4, 4\/9, -7780 in decreasing order.\nAnswer: 4\/9, 0.3, 1\/4, -7780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 w when three letters picked without replacement from wwwwuwwuawwrwwu.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18102780937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110492*m + 408 = 110526*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 7*t**4\/12 + 199*t**2. Let u(w) = -5*w. Determine -8*u(n) - 3*v(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -47*t. Let k(n) = 4513*n - 5. Calculate w(k(x)).\nAnswer: -212111*x + 235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t - 5*d + 20 = -27*t, 4*d - 2 = -3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.9 - -0.1. Which is the second biggest value? (a) -2\/11 (b) 3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 10:36 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1121*x**2 - 2079*x**2 + 954*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(9\/2))**(-3\/10)\/(t**14\/(t**(3\/20)\/t)) assuming t is positive.\nAnswer: t**(-81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.221 - -0.021. Let g = j + 3.1. Let u = 5.5 - 6. What is the nearest to g in u, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 8:15 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 3. Let d be (-10)\/3*x\/5. Let c be (-34)\/(-119) - 2\/(-14)*12. Solve -c*t = -4*t + d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41*97.\nAnswer: 3977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/4)\/(4 - 66\/12). What is the nearest to c in -31, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4 = l, -s - l + 10 = 0. Let n = 14 + -9. Suppose -2*h + 34 = -2*q + 10, h - n*q - 20 = 0. What is the remainder when h is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 12:10 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 6:45 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1392321, 3 in decreasing order.\nAnswer: 14, 3, -1392321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.06 (b) 66\/7 (c) 7 (d) 0.26 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from aqqqqqaqqqq?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/12*2\/45?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 26*t**2 + 49*t + 41. Determine i(-24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-2)\/sqrt(6) + 3)**2.\nAnswer: -12*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 2*a - 10. Let r be l(0). What is the third biggest value in 0, r, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11602 - 11602 - 6*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (8 + 11)) + 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, -93, -263, -433, -603, -773?\nAnswer: -943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1538*q - 13904. Give w(9).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a**2*l**2*o + 38*a**2 - 7*a*l**2*o - 2*l**2 - l*o wrt l.\nAnswer: 8*a**2*o - 14*a*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*k**2*n**2 - k**2*n + 69*k**2 + k*n**2 - k - 55*n**2 + n wrt k?\nAnswer: -58*n**2 - 2*n + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - -4 - (-2 + -1). Let u(z) = z**3 - 8*z**2 + z - 3. Let k be u(a). Let b = -27 - -27. Solve -k = q - b*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101010 (base 3) to base 11\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 596 + -354. Let i = -233 + d. What is the fourth biggest value in -1\/2, i, 5, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 56824, 7.\nAnswer: 5, 7, 56824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -a. Let s be (-6*(-8)\/60)\/(4\/890). Suppose a*k + 53 = s. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/(11\/(-44)). Let s(y) = -3*y**3 + 5 + 2 - 6*y**2 + i*y**3. What is the units digit of s(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -4*x**2 - 7*x + 12. Let j(b) = 21*b + 11. Let o(a) = -14*a - 7. Let k(n) = -5*j(n) - 7*o(n). What is -7*k(d) + 6*t(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 3*n - 3. Suppose -3 = 2*r + 5. What is d(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - m + 8. Let h(j) = 3*j**2 - 17*j - 3. Let q be h(6). Solve 3*u - q = m*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/11 - -10\/33. Which is the smallest value? (a) 1 (b) 4\/11 (c) v (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 25*m**5\/2 + 2115*m**4\/2 + 26455*m**3 + 271645*m**2 + 2176185*m\/2 + 1683715\/2 = 0?\nAnswer: -253\/5, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + p**4)*(-p + 3*p - 3*p) + 0*p**2 + 0*p**2 + 2*p**5 + 0*p + 3*p**5 + 0*p.\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3692128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -152, -645, -1676, -3443, -6144, -9977?\nAnswer: -15140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**2 - 18*b - 72. Let z be v(-6). Let r = z + 113. Solve 10*q - 5*q - r = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15240 and 6833616?\nAnswer: 34168080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + v + 6)*(-9*v + 5*v - 4*v)*(6 - 6 - 12*v).\nAnswer: 96*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -837749*t**2\/3 - t\/3 = 0. Calculate t.\nAnswer: -1\/837749, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-64))\/((-475)\/(-8360)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2 + 2*n - 4. Determine u(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5 + j - 7*j - 3*j**3 + 4*j**3 - 10. Let f be v(-1). Suppose 2*x - 640 + 132 = f. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 51\/2 of a kilometer?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -249? (a) -13 (b) 0.051 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/((-9)\/6). Let f = 4 - l. Solve f*v = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -155, -11, -17, 1, 3, -2 in ascending order.\nAnswer: -155, -17, -11, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -469268 or -469275?\nAnswer: -469275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -29.\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*a + 3*x, -a + 3*x + 19 = -x. Suppose a*w = 12*w. Is w greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27273453 rounded to 3 decimal places?\nAnswer: -0.273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.7 + -16. Let n = z - 1.7. What is the biggest value in n, -0.4, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6785146 and 6785146 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/868 and 67\/93?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34361 - 35887. Which is smaller: -1\/2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -357*p + 354*p + 3*h, -2*h = -12. Is p != -1\/11873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9315 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.062 (b) -33 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14549956200 rounded to the nearest 1000000?\nAnswer: 14550000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385) + 4*sqrt(385))\/sqrt(7))\/sqrt(11)*-3 + 3*sqrt(10)\/sqrt(2) + sqrt(5) + sqrt(5) + 5 + sqrt(45) + sqrt(5) + -3.\nAnswer: -6*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 9*i + 5. Let c be 42\/(-6) + 13 + -3. Let k(d) = -5*d - 3. Calculate c*t(y) + 5*k(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 12 = 5*l. Suppose -2*q - 4 = 2*a, 9*a - l*a = -3*q - 8. Sort 5, 1, a in increasing order.\nAnswer: a, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47974 and 14450.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7469 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 746603286 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*21\/126*(-8)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 301\/(-86)*(3\/3)\/(-35). Which is the smallest value? (a) 122 (b) -3\/2 (c) -2 (d) -3 (e) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)\/r*r**6)**(-30)*((r\/(r**(-2\/3)*r*r))**(-24\/5))**(10\/3) assuming r is positive.\nAnswer: r**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1026 - -1026. Let v be (6\/9)\/((-6)\/(-63)). Which is the biggest value? (a) 0.07 (b) q (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 - (-11)\/(-3). Let g(d) = -3*d - 1. Calculate the remainder when 32 is divided by g(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 10*f - 8*f. Let w(x) = -x**3 - 8*x**2 + 10. Calculate w(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8730 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1421\/203 - ((-3)\/(3\/(-2)) + -7). Solve -24*r + 12*r + w = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3. Suppose 0 = -5*l - p, -4*l - p - 1 = -0*p. Which is the nearest to l? (a) o (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175385 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -0*o - 64. Let f(x) = 9*x**2 + 3*x - 2. Let n be f(2). What is the highest common divisor of o and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50531693 is divided by 12632921.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 - 2*v - 20. Let j be h(-4). Let p = 55 - j. Solve 0*r**2 + 2*r**2 - 3*r**3 - 2*r**4 + 5*r**p + 80*r - 82*r = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 5*f + 3. Let s = -17 - -4. Let t = s + 9. What is the remainder when v(t) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (13 - 11 - -4) + -2 + 21\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 2*b. Is 0 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 123d?\nAnswer: -123a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 80?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w**2 + 5*w. Does 29 divide n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122430 + 1004333?\nAnswer: 1132313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5703622*b*u**3 + 142*b*u**2 - b*u - 129*b + 3*u**3 + 10*u**2 - 4*u - 2 wrt u.\nAnswer: 34221732*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 10*j**2 - j + 11. Let o be n(10). Which is the smallest value? (a) -4 (b) o (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(-2646) - (-198)\/(-49)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7 - 11*r + 2*r**3 - 7*r**2 + 5 - 11*r**3 - 5. Suppose -8*j + 140 = -28*j. Let o(i) = 5*i**3 + 4*i**2 + 6*i - 4. Calculate j*o(d) - 4*b(d).\nAnswer: d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2357.95 to the nearest 10.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -237 - -168.7. Let c = b + 0.3. Let x = c - -68.00114. What is x rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 15 = 17. What is the greatest common factor of 24 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f + 9 = -5*d, 2*f - d - 13 = 0. Suppose -5*l - 3*m = -2*m - 84, f*l - 68 = -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 first derivative of -28107190*i**4 - 967433589?\nAnswer: -112428760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241 + 24?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by 3\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-1) + 118 + -2. Differentiate 8 - 7*h**2 + 119*h - y*h wrt h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6) - (-3)\/27*717. Let n = -19 + 24. What is the greatest common divisor of a and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75149149 to the nearest integer?\nAnswer: 8669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 54*t + 324.\nAnswer: 2*(t + 9)*(t + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41554 and -1?\nAnswer: -41554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((63\/6)\/7)\/(1 - 34\/40)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoooqohqqbbpopbpqq. Give prob of sequence ooo.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2 - 42080*b - 442681600 = 0. What is b?\nAnswer: -21040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/9)\/(24\/(-36)). Suppose 2*l - 3 = 7. Put w, l, 0, 14 in ascending order.\nAnswer: w, 0, l, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*d**2 - 51*d**2 + 28*d**2 - 24*d.\nAnswer: 4*d*(d - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 19840?\nAnswer: 138880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 867*g**2 - 2135*g - 345006. Calculate k(-869).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 0*x**2 + 1\/6*x**3 - 16*x + 0. Determine r(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*t - 121 = -572*t + g - 2*g, -t = -g - 19 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/6))**16\/(m\/(m*m**(-19)))**32 assuming m is positive.\nAnswer: m**(-1816\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (223\/(-2))\/(7\/(-44 + 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 5)*(0 + 2*f + 0 + (1 + 1 - 4)*(4*f - 2*f + 0*f)) to r*f + y and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60 + (-2 - -4 - 1). Let p = 420 + -450. Let f = p + d. What is the least common multiple of f and 9?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**4\/12 - c**2. Let o(s) = 2*s - 1. Let u(k) = -4*a(k) - 3*o(k). Is 4 a factor of u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2141, 13, -3, -2, 2, 1, -4 in descending order.\nAnswer: 2141, 13, 2, 1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 761 - 1082. Which is the second smallest value? (a) 0.2 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3 - -2) + 2)*3. Solve -11 = n*q + a, 0 = -0*q + 2*q + 3*a + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -375079\/1010640 + 5\/16844. Find the common denominator of -64\/45 and y.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 5. Let i be o(0). Suppose -4*y - i = y. Is ((-46)\/8)\/(y\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89648208 divided by -468.\nAnswer: 191556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.88 - 0.12. Let g = -24 - f. Which is the nearest to g? (a) 2\/3 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -28\/967 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 + 71876649*m - 71876649*m.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/5 - 194406984*j\/5 - 116644185.\nAnswer: -3*(j + 3)*(j + 64802325)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 18*m + 84. What is q(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 m when four letters picked without replacement from mmmddmd?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14693\/(-132237))\/((1\/(-63))\/(3\/(-6))).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 35 - (74 - (41 - -47)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -0.2. Let t = -1.9 + 1.4. Which is the nearest to g? (a) t (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3084 is divided by 141.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83281*l - 83287*l + 9 = 15*w, 4*l - 4*w - 20 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -809212 greater than or equal to -809210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 != -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.18008 and -9.\nAnswer: -9.18008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-10)*210\/(-84). What is the highest common divisor of u and 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7142.\nAnswer: 2, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 185, 303, 477, 713, 1017, 1395?\nAnswer: 1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 6*p**2 - 9*p - 10. Suppose -2 = -6*q + 4*q. Let v be -10 - q - 60\/(-15). Let l be s(v). Sort -2, 10, l.\nAnswer: -2, l, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 364, 360, 374, 406, 456?\n\"Answer: 9*z**2 - 31*z + 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663550812 to the power of 1\/3, to the nearest integer?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(9\/((-9)\/2)). Is t <= -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 1251 = -0*p. What are the prime factors of p?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, q: 2, l: 1, f: 4, t: 2}. What is prob of sequence tqu?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 11. Let d be -1 - 3*-15 - (-68)\/17. Let b be (p\/9)\/((-8)\/d). Put -3, -5, b in descending order.\nAnswer: b, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*(-1 + sqrt(28)))**2 - (-1*sqrt(343) - sqrt(343) - sqrt(84)\/sqrt(108))) + 2.\nAnswer: -130*sqrt(7)\/3 + 524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and (-22)\/(-8) - 4\/(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50796614, 101593244, 152389874, 203186504, 253983134, 304779764?\nAnswer: 355576394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7370 - 7370.02. Which is the nearest to h? (a) -3\/7 (b) 1\/10 (c) 2\/9 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51 - (-20 - 34)) + -97 + 0?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqsso. Give prob of sequence so.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(3\/22)*z)*z**(-6\/11) assuming z is positive.\nAnswer: z**(-15\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1887358*r**3 - 4695249*r**3 + 1139718*r**3.\nAnswer: -5442889*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0*4\/8)\/(-1 + -1). Suppose n + 0*b = 2*b + 7, -2*n + 8 = -b. Factor 2*x**2 - n*x**2 + 5 - 4 - x + s*x**2 + x**3.\nAnswer: (x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, c: 9}. What is prob of picking 1 y and 3 c?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1 - 0.1. Let i = -1 + 1.5. Sort i, -2\/7, a in ascending order.\nAnswer: -2\/7, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**3 + 69*u**2 - 94*u + 462. Let d(p) = p**3 + 23*p**2 - 31*p + 154. Let q(f) = -7*d(f) + 2*o(f). Let v be q(22). Are 3\/167 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2153972 is divided by 1219.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 13*f**4\/6 + f**3 + 3*f**2. Let r be y(3). Let b be 1\/4 + (-142)\/(-8). Calculate the highest common divisor of b and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**6\/120 + 7*o**5\/60 - o**4\/8 - 2*o**3\/3 - 378*o**2. What is k(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2248*n**2 + 14 + 2240*n**2 + n - 4497*n**2. Let x be z(2). Let g(u) = u**3 + 3*u**2 - 6*u - 1. Let r be g(-5). Which is smaller: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 733, 2092, 4115, 6802?\nAnswer: 10153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 - 7)*(-4*t + 3 - 3) + 2 - 2 - 2*t to the form z*t + r and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -19*f**3\/2 - 289*f**2\/2 + 20*f + 6. Determine r(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 722, 108, 998?\nAnswer: 998","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/25)\/p**1)\/(((p**4*p)\/p)\/(p*p*p\/(p*p*p\/(p\/p**(2\/11))))) assuming p is positive.\nAnswer: p**(-1128\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 25. Let c be 3 - (8 + k + -4). Let f be (-1 - -18) + (-3 - c). Solve 3*x = -5*q + 5 + f, -5*x + 1 = -q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12242 + -4221?\nAnswer: 4021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 0 + 0*r**2 - 1\/2*r**4 + r + 4\/3*r**3. Let d(n) = n**2 - n. Let w(g) = -8*d(g) - i(g). Let o(x) = 3*x**2. Calculate o(w(u)).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**3 - 2365*j**2 - 4710*j = 0.\nAnswer: -471, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 4 + 5 + (-4 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**4\/6 + 7*s - 66. Let c(l) = 1. Let x(p) = 18*p + 4. Let n(f) = 6*c(f) - x(f). Give n(w(r)).\nAnswer: -36*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 604 and 29294?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -z - 27, 3*f + 7 = -5*z + 56. Let i = f + -4. Suppose 2*w - 42 = -h + 7*w, 5*h = -i*w + 181. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 55, 209, 449, 769, 1163?\n\"Answer: -i**3 + 49*i**2 + 14*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71375*j - 214202*j + 71800*j + 71504*j.\nAnswer: 477*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0824973172 and -0.1.\nAnswer: -0.0175026828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1487 + 1492. Solve -n*z + 56 = 41 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 551432162 and 3786?\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -38 (b) 0.05 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 a when three letters picked without replacement from aaaaqqqa?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 20417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 9*x**2 - 14*x + 2. Let k be b(6). Suppose -o + 49 = -k. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 19. Suppose -80 = -s*q - f, -3*f + 10 = q - 6. Calculate the remainder when 76 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -236 - 194 + 366 + 8*q. Is f(29) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/5 - 22\/15. Suppose -3*y = -q + 13, y + 2 + 2 = 0. Suppose -3*b + 0 = 2*n - 1, 5*b + 4*n = -q. What is the nearest to -0.2 in 1\/6, h, b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, s: 4, r: 4, t: 10}. What is prob of picking 4 s?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.4, 32, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -414 divided by 46?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/2, -3\/8, -2124077, 4 in descending order.\nAnswer: 4, -3\/8, -1\/2, -1, -2124077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 541296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4805020, -4805021, -4805022, -4805023, -4805024, -4805025?\n\"Answer: -b - 4805019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by -6.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3224 and 4712.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 423?\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from gggggdmggmggggggqqg?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 637.428 - 0.8.\nAnswer: 636.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 2:23 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10 = -0*o + 4*o, 0 = o + 2*c. Let z be (-1)\/o + 40\/16 - 9. Let m(a) = -3*a - 2. What is m(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 4*z - 2*a, -2*a + 86 = 5*z - 3*z. Suppose 0 = 3*w - 54 - z. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/1120 and (5 - 16*(-10)\/(-28))*42\/(-96).\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 1\/2, -1, -4\/3, -151.2, -0.21?\nAnswer: -151.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -299 + -63. Let k = s - -361.927. Put 4\/5, k, 1\/2 in increasing order.\nAnswer: k, 1\/2, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -103\/465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 - 7ee11?\nAnswer: -7ee28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1379 + 1421. Solve 26 = -t*m + 55*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q = -21. Let o be (-6)\/q + 153\/168. Let n = 1921 + -1926. Which is the smallest value? (a) -1 (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101102290.\nAnswer: 2, 5, 10110229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3 + 28 = -v, -21 = -n + 5*v. Let l = -4 - n. Suppose -3*a = -l*a - 9. Solve 6 = 3*o + a*y, 2*y - 1 + 2 = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 388824 and 9.\nAnswer: 1166472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**3 + 2*n**2 - 44*n - 3. Let i(c) = c**3 + 2*c**2 - 1. Determine -3*i(p) + z(p).\nAnswer: p**3 - 4*p**2 - 44*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 15, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00376292 rounded to five decimal places?\nAnswer: -0.00376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2*s = -8, 4*v - 12*s = -9*s + 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v - 232. Suppose -5*h - j = -3*j - 318, 0 = -4*h - 4*j + v. Is 40 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**3 + 3*f**3 + 5679*f**4 + 2 + 7*f**3 + 4*f - 5678*f**4 + 2*f**2 + 5*f**3 to the form s*f**3 + w + o*f**4 + c*f + x*f**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-8))\/(1\/(-2)). Suppose q = t*q + 2*m - 10, 0 = q + 2*m + 2. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2)\/((-12)\/(-216)). Let q = 15 - r. Let o = 14 + q. What is the highest common divisor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**8\/70560 - a**7\/8820 - a**6\/840 - 2*a**5\/15 + 7*a**2. Let i(q) be the third derivative of o(q). Find x such that i(x) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13446 (base 7) to base 6\nAnswer: 24540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 0 + 0)*(84 - 6*u - 4*u + 7*u).\nAnswer: 6*u**3 - 168*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -90. Is d a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, s: 5}. What is prob of sequence ps?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2. Suppose 0 = u, 2*g + 7 + 7 = -3*u. Let t(w) = 13*w**2 + 1. What is g*p(d) + 2*t(d)?\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4019668076040 + -2.\nAnswer: 4019668076038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 0 + 2\/33*d**3 + 0*d**2 + 24*d - 1\/66*d**4. Determine y so that k(y) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -81, -115, -151, -189, -229, -271?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -43*j**2. Let a(v) be the third derivative of -v**5\/30 - 20*v**2 - 2*v. Calculate a(f(o)).\nAnswer: -3698*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a kilometer in centimeters?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.5 - -1.9. Let y = q - 0.4. Let m = -43\/60 - 8\/15. Put m, y, 0.3 in decreasing order.\nAnswer: 0.3, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/((k\/k**7)\/k)))\/k**(1\/12))\/(((k**(-1\/2)\/k)\/k)\/k)**(4\/23))\/((k*k\/k**(1\/3))**(23\/5))**(-46) assuming k is positive.\nAnswer: k**(95549\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + a + 105 = 27*a. Let k(s) = 4*s + 4. Let b(p) be the first derivative of p**2 + 2*p + 2. Calculate a*b(u) - 2*k(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4038 or 4037?\nAnswer: 4037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*l = -279 - 83, 4*z - 297 = 5*l. Let q = z - 14. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11316836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -0.19373687.\nAnswer: -0.20626313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + -50.8. What is the nearest to 2 in -4\/5, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28200033509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 125 = -5*q. Let w = -266 + 236. What is the remainder when q is divided by 8\/w*-20 - (-2)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*j + 18 = 8, -j = -4*g + 8. Solve 0 = -g*v - 3*d + 6, 4*v - 5*v + 4*d - 8 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*o + 731, 0 = 5*o + 281*q - 277*q - 1213. Is o at least as big as 1739\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 5*v + 5. Let g(o) = 6*o**3 + 2*o**2 - o. Let y be g(1). Suppose y + 8 = -3*p. What is n(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -133, -106, -85, -70?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b - 46*b = -2*a, -5*a = 2*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 235*m**2 + 834*m - 140430. Calculate z(234).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - -1667 - 4 - 1*4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 4. Let b be h(-2). Let x(g) = b*g - 347 + 352 + 0*g. Let y(p) = 2*p**2. What is x(y(v))?\nAnswer: 8*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4*g\/((g\/((g*g**0)\/g))\/g))\/(g**3\/(g\/g**2)) assuming g is positive.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 4367826100 to the nearest 1000000.\nAnswer: 4368000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**4 - y + 3. Let b(m) = -197*m**4 + m**3 - 7*m**2 + 14*m - 6. Let f(v) = -b(v) - 2*h(v). What is the third derivative of f(t) wrt t?\nAnswer: 4584*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 - 1 - q**2 + 2*q + 0)*(2*q**3 + 0*q**3 - 3*q**3).\nAnswer: -4*q**5 - 2*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8627282 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 2\/9*o**3 + 7\/540*o**5 - 5*o**2 + 0*o + 1\/1080*o**6 + 9 + 2\/27*o**4. Let k(y) = 0. What is y?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/5))**(-25)*(r\/((r*r\/((r\/(r*r**3)*r)\/r)*r)\/r*r))\/r**(-4) assuming r is positive.\nAnswer: r**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - -8a1431?\nAnswer: 8a1418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.23*0.12458\nAnswer: -0.0286534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*5\/15 + (-3)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f - 81*f - 62*f - 184*f - 15480 = 0 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 8*s + 21*s - 3*s.\nAnswer: -2*s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 154*n**4 + 13 - 153*n**4)*(-6*n + 1 - 1).\nAnswer: -6*n**5 - 102*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/((-15)\/5))\/(2\/(-6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -36, -7 in increasing order.\nAnswer: -36, -7, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2622 and -224570568.\nAnswer: -224573190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 8*b**2 - 7*b - 8. Suppose f - 4*i - 9 = 0, -f - 3*i = 4*f + 47. Let u be m(f). Let v = 10 + u. What is the highest common factor of 18 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1981, 3948, 5903, 7840, 9753, 11636, 13483?\nAnswer: 15288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -192*k**2*n - 4*k**2 + 3297*k*n - k - 76*n - 105036 wrt k.\nAnswer: -384*k*n - 8*k + 3297*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u**3 + 4*u**2 - 5. Let d(n) = 8*n**3 + 5*n**2 - 2. Determine -3*d(c) + 4*l(c).\nAnswer: 8*c**3 + c**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 15*z - 24. Let d be b(18). Suppose -24*o = -27*o + d. Solve -7*y = -o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8506598 - 4\nAnswer: 8506594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2773438*z + 616*z**2 - 2773438*z)*(2 - 3 - 3)*(-1 - 1 + 1) to k*z + o + v*z**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 508941?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**2 + 2*p - 1. Let l(a) = -2 - 23*a**2 + 7*a**2 + 7*a**2 + 8*a - 3*a. Suppose c - 2 = 5. Calculate c*k(m) - 3*l(m).\nAnswer: -m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s = -94. Let b = 67 + s. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 204 = 174*f - 153*f, 2*v - f + 65 + 56 = 0 for v.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -12*c**2. Let y(w) = 83*w**2. Determine y(k(z)).\nAnswer: 11952*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1 = -8. Let g be (1 - -1*4)*n\/(-9). Let h = 2.64 - 2.6. Which is the nearest to -2? (a) h (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/651 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 3*i - 43. Let k(z) = z**2 - 7*z + 6. Let o be k(6). Let h be f(o). Let g = 65 + h. Solve 0 = -5*d + 4*c + g, 0*c = -2*c - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*x = -1381, 0 = -4*n - 3*x - 2*x - 2687. Does 43 divide -2 + n\/(-15) - (-2)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369117289?\nAnswer: 43, 103, 83341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -18. What is the highest common divisor of 49 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4 - 6677*t**3\/5 - 8517*t**2 - 75771*t\/5 - 23922\/5 = 0. Calculate t.\nAnswer: -1329, -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2702 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0 (b) -335 (c) -4 (d) -13\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/6198 and 81\/20?\nAnswer: 61980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 16. Let x(l) = 2*l + 1. Let t be x(1). Suppose -w - 11 = -t*j. Calculate the greatest common divisor of 35 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1715.11 - -1715. Let h = 1.108544 + -0.9985439. Let z = h + c. Round z to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-65)\/169*1\/(-5).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4*x - 5*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v + 36. Suppose -3*z + v = z. Suppose -5*l + z*l = -8. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9619*x + 266694 = -9616*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 52 = 12, 5*b - 91 = -4*y + 21. Suppose 2*i = i. Solve i = 2*u + b - 26 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 357 and 1343?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 151564.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 2*i**3\/3 + 3*i**2\/2 - 1. Let j be k(-2). Factor -2*v + j*v**2 + 4 - v**2 - 2*v.\nAnswer: (v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 bigger than 303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 624.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3572254 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**5\/30 + 75*t**3\/2 + 11550*t**2. Let z(c) = -28*c. Give z(v(n)).\nAnswer: 56*n**2 - 6300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 6*k + 5. Let p be n(6). Suppose 5*y - 135 = r, -y - 2*r = -p*r - 41. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1293 - 202 - 160)*(2*q - 2*q + q)*(3*q - 6*q + 2*q).\nAnswer: -931*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 206 + 1995 = -j, -1093 = -2*d + 3*j. Suppose -13*m + d = -12*m. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 57 = -4*r - 38, 3*w - 85 = 4*r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.217, -1, 2, 0, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 3*l - 49, -53 = -l + 2692*p - 2687*p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (445\/(-135) - -3)*1212\/(-1616). Factor v*g**2 + 8\/9 + 8\/9*g.\nAnswer: 2*(g + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 0.01, 0.2, 3, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 195*x**4 + 6*x - 1.\nAnswer: 2340*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455*d**3 + 686*d**3 - 1137*d**3 - 12*d.\nAnswer: 4*d**3 - 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18586 is divided by 405?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 4*s + 3, 2*o + 4035 = -s + 4038 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -184, 8, -3, 5, -2, -436 in decreasing order.\nAnswer: 8, 5, 3, -2, -3, -184, -436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.46 and 7094408.\nAnswer: 3263427.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 442 = -65. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -38 + (-10 - -34) + 15 + 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 382979759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 7*v - 7. Let q(i) = i**2 - 8*i - 8. Let a(t) = -t**3 - 2*t**2 - 10*t + 5. Let o be a(0). Let n be (8\/(-6))\/(4\/18). Give n*r(u) + o*q(u).\nAnswer: -u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 51. Let g(n) = 4*n - 103. Give -6*g(h) - 11*q(h).\nAnswer: -2*h + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -104244*r - 521229. Give j(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 149056 and 13152.\nAnswer: 447168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30576 (base 8) in base 2?\nAnswer: 11000101111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3178?\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -14. Suppose o = 4*o + p. Which is the nearest to -0.2? (a) -0.3 (b) -0.09 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2 - 6*o - 3. Let u(i) = 3*i**2 + 5*i + 2. Calculate 2*b(h) + 3*u(h).\nAnswer: 3*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11135 - 11120. Solve 2*j + 39 = b*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 66 = -2*j, -3*j + 0*o + 103 = o. Let i = 73 - j. Suppose -3*k + 10 = -i. Calculate the lowest common multiple of 10 and k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 8*q + 7. Let n be h(-7). Solve n*t = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 37, -2653.\nAnswer: -2653, -2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 5. Calculate the remainder when ((-180)\/(-70))\/(11 + (-4768)\/434) - -2 is divided by l(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 457724 and 84.\nAnswer: 9612204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 28 = -g. Let t be (-6)\/(-21) - 4\/g. What is the closest to -0.1 in -1, t, 4\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from gagcrda.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72125058 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 858 a factor of 1135992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36190 is divided by 12049.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69499.\nAnswer: 69499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 18.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from kvvupp?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40003416 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 9:18 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*u + 252*u - 5341 = -330*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57937 - -115875\/2. Let o = 0 - 15. Put v, -2, o in decreasing order.\nAnswer: v, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25\/22 + -1124\/1023. Calculate the common denominator of -41\/24 and r.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112 by 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/(-231))\/(61\/(-366)). Let n = 0 - -0.09. Which is the nearest to y? (a) n (b) 3 (c) -0.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/280912 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15238588 (base 9) to base 12\nAnswer: 2659068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 605279*c + 1909378 wrt c?\nAnswer: 605279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -7*u**5\/20 - 47*u**4\/8 - 43*u**3\/3 + 87*u**2\/4 + 99*u\/4 - 9412. Determine v, given that x(v) = 0.\nAnswer: -11, -3, -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1662431671 to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 4. Let m = 0 - -0.1. Is m greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 344627 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 307500 rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3458*b**3 + 705*b**2 - b - 347930 wrt b.\nAnswer: -20748*b + 1410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 12 = 0, -4*u + 30 = -2*u - 5*w. Let s(n) = u + 0*n**2 + n**2 - 37. Let c be s(4). Solve -5*a = 4*j - 2*j + 13, -3*a + 13 = -c*j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 2 = -14*g. Suppose g*d - 10 = 0, 4*n = 3*d + 4 - 11. Determine r so that 0 - 2\/9*r**5 - 2\/9*r**4 + 0*r + 2\/9*r**3 + 2\/9*r**n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3\/2*2\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 0)\/(54\/3 - 20). Solve -6*h + 10*h = l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 + 16?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 2*i**5\/5 + i**4\/7 - 2*i**3\/3 - 2*i**2\/7 - 412. Find u, given that z(u) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8985908?\nAnswer: 2, 31, 72467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 - t**2 + 2*t - t**2 - 1 - 4*t**2. Determine c(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 z, and 1 p when three letters picked without replacement from {c: 4, p: 3, z: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*t**2 - 6519*t + 159372 = 0. What is t?\nAnswer: 76\/3, 699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 252 + -235. Calculate the remainder when 151 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-144)\/(-15))\/(15\/50). What is the remainder when 69 is divided by 182\/5 + g\/(-80)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, 1021, 4, 360, -0.3, 0 in descending order.\nAnswer: 1021, 360, 4, 0, -0.15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -59, 2\/9, -4\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 50. Suppose -30*k = -9*k - 105. Suppose -k*v + 438 = 2*d, -21*d = 5*v - 20*d - 439. Calculate the remainder when v is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q + 14 - 74. Let y be ((-3)\/2)\/((-9)\/q)*3. Solve 5*u + 20 = 5*z, 0*u = -u - y*z + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -14*w**2 - 687*w - 19. Let b be q(-49). Solve 95*m - b*m = -130 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drdeerddrereeererr. What is prob of sequence rdee?\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 2*t + 0*t + (2 + 0 - 1)*(-3*t + 5*t - 4*t) + t + t - t + 3*t - 3*t + t + 0 + 2*t + 1 + 7 to f*t + r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2935, -4 in decreasing order.\nAnswer: 2935, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvb when three letters picked without replacement from {d: 2, n: 2, v: 2, b: 1, i: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3643039 - 65640349\/18. Let c = n - -3643. Find the common denominator of -7\/20 and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + c**2 - c + 1. Let a(b) = -6*b**3 + 3*b**2 - 6*b + 7. Let t(i) = -a(i) + 5*k(i). What are the prime factors of t(3)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**7\/840 - u**5\/20 - 5*u**4\/12 + 3*u. Let l(i) be the third derivative of d(i). Find the first derivative of l(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 10*q**2 + 4*q + 2. Let z(n) = -n**2 - n - 1. Suppose -101*c + 76 = -82*c. Determine c*z(s) + l(s).\nAnswer: 6*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*sqrt(1573)*-1*-6 + 2.\nAnswer: -264*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 7*x = 2*x + 1, -5*k + 17 = -2*x. Let m(y) be the first derivative of 0*y**2 + 2\/21*y**k - 2\/7*y + 2. Factor m(f).\nAnswer: 2*(f - 1)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7884\/11 - -583845\/814. Find the common denominator of o and 121\/10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -211 and 37551.2.\nAnswer: -7923303.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/7*(-5)\/(40\/14)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.438839 meters to millimeters.\nAnswer: 9438.839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 20 = 5*i. Suppose -i*n = 4*d - 6*n - 2216, 0 = d + 3*n - 574. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l**2. Let r(f) = -3028*f. Determine v(r(j)).\nAnswer: -82519056*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5340 and 6675.\nAnswer: 26700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s = -5*v + 4, -137*s = -141*s + 2*v + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1938 and 8835?\nAnswer: 300390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1140)\/(-19))\/(112\/(-56))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 - (-12 + 1 + 2) - 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6) + (-198)\/(-27). Suppose -r*c + 11*c = 468. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4680 divided by -24?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322990131.\nAnswer: 3, 37, 59, 149, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 22*f + 29. Let a(d) = -2*d - 5. Suppose 4*t - k = -12 + 36, 0 = -t + 2*k + 6. Let j(c) = t*a(c) + b(c). Let p(o) = 3*o**2. Calculate j(p(y)).\nAnswer: 30*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-96)\/256 + 70\/16)*(-107)\/(-4). Solve -12*t = 47 - m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 2:29 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**2 + 0*o - 11\/6*o**3 + 0 + 2\/15*o**5 + 1\/12*o**4. Is m(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from ppppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 16. Let q be s(-13). Determine t, given that -3*t**3 - 3*t**3 + t**q - 3*t**4 - t**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*k**3 + 25*k**3 - 57*k**3 - 123*k**5 + (2*k**3 - 4*k**3 + 0*k**3)*(-4 + 4 + 2*k**2).\nAnswer: -127*k**5 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**5\/60 + u**2 - 20*u. Let c(n) = -n**2 + n + 1. Let h(r) = 8*r**2 - 2*r - 2. Let p(d) = 2*c(d) + h(d). Give l(p(v)).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 + 7*h**3 - 23*h**3 + 5*h**3 + 10*h**3 + 2.\nAnswer: h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4358.801 millilitres?\nAnswer: 4.358801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(10)*-1*5) - (-2 + 1 + sqrt(3) + (sqrt(3) - sqrt(243)\/sqrt(9))))*3.\nAnswer: 3 + 12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13819290 and 13819290?\nAnswer: 13819290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**3 + 5*h**2 + 12*h + 27. Let j be t(-4). What is the greatest common divisor of 35 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1064*m - 20146. Calculate n(20).\nAnswer: 1134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2917597.\nAnswer: 53, 55049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 9. Let o(p) be the second derivative of -p**3\/3 - p**2\/2 + p. Is o(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvj when three letters picked without replacement from {j: 2, n: 11, v: 7}.\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(63\/91) - (-12)\/(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 4*r + 146, -2*o + 144 + 29 = -5*r. Let b = -76 + o. Suppose 3*l - 2176 = -4*u, -3*l + 9 = -b. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 5*l + 17 = 0, 397 = 2*l + 395 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 817*g - 3598 = 413*g + 2866 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1629 - 1396*c - 1634 + 3263 to q*c + s and give q.\nAnswer: -1396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -159?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbuhhbbhkhs. Give prob of picking 1 k, 2 h, and 1 u.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 27 = 3*z, o - 6*o - 4*z = -34. What is the third derivative of -7*r**2 - 18*r**2 + 9*r**2 + 33*r**o wrt r?\nAnswer: 3960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 + (-1 - -4 - 2). Let p = o - 3. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 4*a**2 - 5*a + 10. List the prime factors of m(8).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (5951\/(-33) + -22)\/(1\/(-9)) and 12?\nAnswer: 7284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 12*l**3 + 14*l**2 + 11. Let q(d) = 10*d**2 + 805*d - 770*d - 68 - 8*d**2. Let p be q(-19). Let k(o) = 4*o**3 + 5*o**2 + 4. What is p*k(v) + 4*b(v)?\nAnswer: 4*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1355*r**2 + 1124. Let b(g) = g**2 + 1. Let d(s) = -18*b(s) + 2*u(s). Differentiate d(i) with respect to i.\nAnswer: 5384*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Let u = -620.6 + 622. What is the third biggest value in u, o, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10 = y, -324*y = -328*y + 3*g + 7. Put -16, -1, 3, y in descending order.\nAnswer: y, 3, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-1337 + 1337 - 44*d)*(2*d - d - 4*d).\nAnswer: 132*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/8 and -3 + (1810\/124)\/5.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 16*m**2 + m - 17. Let o be f(16). Calculate the common denominator of 13\/33 and ((-2)\/60)\/(o\/(-103)).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v + 63 = 3*d, 4*v + 5*d - 53 = 0. Let u be (11\/v)\/(5\/10) + -2. What is the biggest value in u, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(540))\/(sqrt(300) - (sqrt(300)*2 + sqrt(300))).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l + 5. Let k(d) be the second derivative of -d**3\/6 - d**2\/2 + d + 787. Calculate -4*k(z) - w(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 24\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 448\/12*(7 + -4). Suppose 446 = b + b. Let o = y + b. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*f**3 + 16*f**3 - 19 - 35*f**3 + 11*f**3 to the form q*f**2 + x*f**3 + s*f + r and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.219012 + 1.2648. Let z = 0.046 - k. Round z to five dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83.1 + 87. Let x = 0.9 - g. Let s = -9.1 + 7.1. Which is the nearest to s? (a) -2\/7 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h**2 + 50*h - 5. Let d(b) = 15*b**2 + 75*b - 7. Let f(a) = -5*d(a) + 7*x(a). Factor f(t).\nAnswer: -5*t*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*u - h, 5*u + h = -h + 50. Let i be (2\/(-4))\/(u\/(-32)). Find the second derivative of -6*o - 46*o**i + 46*o**2 + 5*o**3 wrt o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -16*t - 12. Let q(s) = -19*s - 12. Let k(i) = 6*n(i) - 5*q(i). Determine k(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k + 3. Let v = -17 - -15. Give l(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -126*u + 15. Let t(h) = -65*h + 6. Let f(x) = -2*j(x) + 5*t(x). Let y(m) = m**2. Give f(y(k)).\nAnswer: -73*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-21)\/(0 + 3). Let h(r) = r**3 - 6*r**2 - r + 2. Let m be h(t). Let w(o) = -o + 4. What are the prime factors of w(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -10000101?\nAnswer: -10000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(1216) + -2)*3 + -3)*5*-4)**2.\nAnswer: -175680*sqrt(19) + 4411089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 803 and 292.\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/230532900 and 58\/507?\nAnswer: 230532900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 58518425519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldb when three letters picked without replacement from {d: 9, b: 1, l: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 31*m**2 + 11*m**2 - 4 + 6 as g + f*m + i*m**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + j - 25 = 0, -5*o - 9*j - 85 = -64 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43242766.\nAnswer: 2, 7, 107, 28867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -13. Let g be (8 + n)*2\/22. Is g bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 390641 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 7*c**2 + 9*c + 7. Let s be m(-6). Let p = s - -14. Calculate the highest common divisor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -2, 79 in decreasing order.\nAnswer: 79, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from {t: 5, j: 10, z: 3, x: 2}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*t = 2*u - 30, -u = 5*t + 22. Suppose -4*a + 21 = -c, -u*a + 4*c + 22 = -10. Suppose a*i - 2*i - 6 = 0. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1141, 4576, 10303, 18316, 28609?\n\"Answer: -t**3 + 1152*t**2 - 14*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -84*f**3 + 305115*f**2 + 5344098*f - 3153384 = 0.\nAnswer: -18, 4\/7, 14599\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22411 - 620?\nAnswer: -23231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 324 = -1154. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -5, 0.1, -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -d + 2*a, 4 + 14 = -d - 5*a. Factor 2\/5*i + 0 + 3\/5*i**d + 1\/5*i**3.\nAnswer: i*(i + 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15*3\/9*(0 - -1). Solve -q - 5*f + 19 = 0, y*q = q - f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f = 104 + 66 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63648 and 2368?\nAnswer: 4709952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpwgapgk. Give prob of picking 1 k and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 500*b + 1513. What is l(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 236609 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 114*j - 2. Let h(d) = 56*d - 51. Let u(b) = 40*b - 36. Let w(o) = 12*h(o) - 17*u(o). Calculate w(v(z)).\nAnswer: -912*z + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*f - 2026, 512 = f - 24*r + 29*r. Calculate the highest common divisor of 12 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 947614, 1895329, 2843044, 3790759, 4738474?\n\"Answer: 947715*y - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 0 = 4*b - 6, -3*f + 11 = 5*b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9823 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 66*a - 2*y, -95*a + 2*y + 0*y = -92*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z + 1. Let k be m(-1). What is the third derivative of 6 + 6*i**2 - 11*i**6 - k wrt i?\nAnswer: -1320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + 4 + 5 + (12 - 11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 3, 6, 9, 12, 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 + 1213?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-37 + 33) - 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = 4*g - 140, -12*g + 14*g + 18 = 5*z. Let y(c) be the first derivative of g - 14\/15*c**2 - 2\/45*c**3 - 98\/15*c. Factor y(o).\nAnswer: -2*(o + 7)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/5))**(1\/17))**(5\/7) assuming r is positive.\nAnswer: r**(3\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 - 3*h**2. Let f be j(-3). Suppose w - f = -0*w. Let b = w - 6. Does 21 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.2 + -0.2. What is the smallest value in -3, 1, r, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.977208 less than 0.1?\nAnswer: 18.077208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7722 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 851760 and 217490?\nAnswer: 203570640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from rrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2 + 0 - 7\/3*g + 1\/3*g**3 = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 384*m + 17. Let p be f(-8). Let v = 1101 - p. Suppose 45*r = 47*r - v. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -20.3, 11, -2, -2\/9, 3\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17)\/(-4) + 4\/(-16). Let x be 2\/(2\/15) - 2. Suppose x = s*q + 5*u, q - 6*u + u = -3. Solve 0 = -4*m + 3*m + q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430356, 860703, 1291050, 1721397?\nAnswer: 2151744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1375 and -57\/47000.\nAnswer: 517000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.0627658 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -146 + 24 + 153.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 35095\nAnswer: -35100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 643270 to the nearest ten thousand.\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530422.\nAnswer: 2, 765211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 6. Let m be s(-3). Find the second derivative of -2*v + 9*v + 0*v - 2*v**m wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(13\/1)*(-4)\/12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2818 is divided by 908?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from yssyyyyeyyyyyeyyye.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3)**(-2\/25)*(m*m\/(m**(-3)\/m))**(-1\/5) assuming m is positive.\nAnswer: m**(-36\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4*-3*21\/(-1260)*25\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 2*x**3\/3 + x**2 - 16*x. What is c(-6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*t + 69541 = -1197*t - 2459 for t.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 7:38 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 621?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 826\/5*z + 54*z**3 + 822\/5*z**2 + 276\/5 - 2\/5*z**4.\nAnswer: -2*(z - 138)*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221225.\nAnswer: 5, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -86 and 0.4503?\nAnswer: -38.7258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 475183*a = 475185*a - 93, -50 = 4*m - a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 67 = -3*i, 0 = 2*i - 2*q + q + 41. Let c = 24 + i. Solve -c*k = -8*k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 e, 1 b, and 1 y when four letters picked without replacement from bzywybebvybbybbb?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4*j + 4 = -k, 3*k - 2*j = 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10964 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 + 1.3. Let u = t + 0.1. Let y be ((-6)\/20)\/((-18)\/(-75)). Which is the smallest value? (a) y (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-4*x**4 + 2*x**3 - 2*x**3 + (-2*x**2 + 2*x - 2*x)*(2*x**2 - 2 + 2)) - x**4 - 2*x**4 + 5*x**4.\nAnswer: -14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 12:57 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22 - 8064\/368 - (-340628)\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/5)\/((-3)\/18))\/((-11838621)\/(-1272970)).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2583\/533 - (5 - 268\/52)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 f when three letters picked without replacement from fggggfgggfgggggffgf?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-3)*(-8)\/10. Let j(r) = r + 5. Let d be j(z). Let o = d + -8. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822997 is divided by 53.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 6:21 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (9 + -3 - 16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -17. Suppose -d + o + 0 = 0. Let k be (d\/3)\/((-2)\/(-36)). What is the highest common factor of 66 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 + 0*d**2 - d**2 + (78*d + 75*d - 143*d)*(-3*d + 3*d + 2*d).\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 greater than 445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 - 9*t**2 - 8*t**2 - 11*t**2.\nAnswer: -33*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-22))\/(4 + (-62)\/4 - -10)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74 + -43. Suppose -c = 0, -3*l - 3*c - 2*c + 15 = 0. Suppose -2*g + z = 3*a, -l*g = a + 5 - 63. Solve -4*u - g = -5*m - 0, -m + 7 = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276846, -276817, -276776, -276729, -276682, -276641, -276612?\nAnswer: -276601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 780, 775, 770?\n\"Answer: -5*h + 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4751*a**5 - 8*a**4 - 116043*a**2.\nAnswer: 285060*a**2 - 192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2079*c**2*l**4 - 4*c**2*l**2 + 52*c**2*l - 108*c**2 + 276*l**3 - 17*l**2 wrt l.\nAnswer: -49896*c**2*l + 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 2 - -2 - (0 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*h**2 + 36*h**2 - 12*h**2 + 10*h - 3 to the form q*h + m + u*h**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 123 + 6965a?\nAnswer: 69780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42918864, -85837726, -128756586, -171675444, -214594300, -257513154, -300432006?\n\"Answer: r**2 - 42918865*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -348\/197 > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -445*p**4\/4 + 3*p**2\/2 - 1133*p - 8243. What is the derivative of y(o) wrt o?\nAnswer: -1335*o**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 91 + 4 = 0. Calculate the remainder when t is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -5*p**4\/42 + 4*p**3\/7 - 4*p**2\/7 - 16*p\/21 + 1. Factor t(l).\nAnswer: -2*(l - 2)**2*(5*l + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 0.637?\nAnswer: 0.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47971 is divided by 15841?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 0*q = -24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46568 and 38760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 352 = n, 5*n - 5*j + j = 1760. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.22418 and -0.916.\nAnswer: -0.20534888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + h + h**2 + (3 - 2 + 0)*(2*h**2 - 1 + 1) - h**2 - 3*h**2 + 3*h**2 + 0*h**2 + 3*h**2 - 2*h**2 - 15*h**2 - 2*h**2 + 0*h**2.\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20144 + 31807. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 29*g + 1267. Determine r(-53).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 40 = 4*h + 3*a, -2*h - 4*a + 30 = 0. Suppose h*m = 239 + 181. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -3. Let c be 15\/(-6)*(-12)\/(-6) + 2. Sort c, u, 0.1.\nAnswer: c, u, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 5*g - 26 = 64, 8*a - 93 = 5*g + 77 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by (0\/(-3) - (-15)\/60) + 172\/16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*b + 15. Let m(p) = p**3 + 8*p**2 + 11*p + 16. What is the remainder when m(-6) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 168*b**3 - b + 1. Is 29 a factor of p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 + -15)\/(3\/(-1)). Let d(i) = -5*i + 19. Let t be d(k). Solve 3*u = 2*u + 3, t = -4*y - u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-5))\/((-61)\/(-305)). Does 3 divide ((-184)\/w)\/4 - -6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8485 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-4 - 5)) + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -0.4 (c) 20583 (d) -5 (e) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57984 and 4077?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6189 - -6191. Is k < 550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-10)*(l*l**23*l*l)\/l*(l\/(l**1*l*l)*l)**(18\/7) assuming l is positive.\nAnswer: l**(87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165 + 140. Which is the closest to f? (a) 2\/3 (b) -3 (c) 0.5 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 1:52 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 130? (a) 2 (b) 1\/2 (c) -0.076 (d) 1\/7 (e) 477\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4114 = 12*c + 5*c. Suppose -4*h - 5*r - 33 = -c, -5*h + 2*r + 220 = 0. What are the prime factors of h?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/((-11)\/(-9)))\/(1854\/14420).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*b - 41. Solve -3*h = 3*i + 12, 4*h + 0 = i - b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = g + 29. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5353 and -3.\nAnswer: -1.6059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 598 divided by -214.\nAnswer: -299\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -64*g**3 - 467*g**2 - 24*g + 29. What is t(-7)?\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -21. Let s be 390\/(-351)*(-6)\/d. Let q = 0.3 + -0.5. What is the biggest value in q, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(-2*sqrt(576) + sqrt(576) - sqrt(576)) - ((sqrt(2057) - -1*sqrt(2057)) + -4)**2)*-1.\nAnswer: -4223*sqrt(17)\/24 + 8244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 11.32, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (36\/16)\/((-265)\/60 - -4) + 6. Which is the second smallest value? (a) -15\/11 (b) 0.02 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -70.9 - -47.2. Let a = y + 23.6. What is the closest to 2\/7 in a, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or -16.03?\nAnswer: -16.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 10*q + 34. Give z(-10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 284, 564, 844, 1124, 1404, 1684?\n\"Answer: 280*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8053 times 0.146572?\nAnswer: -1180.344316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 12216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-42 - -17) + -9 + 24.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5 - 2972*b**4 + 1445648*b**3 - 301728704*b**2 + 28445600000*b - 1000169191424 = 0.\nAnswer: 124, 338, 776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -162264811 - -4.565\nAnswer: -162264806.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 624764888 and 3608.\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 88969*b - 3736691. Determine k(42).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 697.14\nAnswer: 2091.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5985 + -41893\/7. Which is greater: 0.517 or a?\nAnswer: 0.517","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157496629.\nAnswer: 1129, 139501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*j**4*x - 273010*j**3*x - 2*j**3 + 2*j**2*x + 246*j**2 - j*x + 1637*x wrt j?\nAnswer: -336*j*x - 1638060*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4054191*a**4 + 21600340 wrt a?\nAnswer: 16216764*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 175050?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2508554, 2508555, 2508556?\nAnswer: 2508557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1906 divided by 35617?\nAnswer: 1906\/35617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4044 + -2957. Is 29 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3900))\/(sqrt(108) - 1*sqrt(108) - sqrt(108) - sqrt(108)).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**2 - 192*l - 53. Let g(m) = -6*m**2 - 270*m - 52. Let b(z) = 3*g(z) - 4*s(z). Determine b(20).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*300728670.\nAnswer: 300728670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*z + 411 = -889 - 374 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 219*m**3 + 7*m**2 - 867*m + 5245. List the prime factors of d(6).\nAnswer: 47599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, u: 6, q: 2, g: 1, l: 1}. What is prob of picking 1 t and 2 q?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*h**2 + 80*h**3 + 98*h**2 + 105*h**2 - 308*h**2.\nAnswer: 80*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, p: 2, g: 4}. What is prob of sequence gwgg?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-2) - -17*(14 - -4)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43342 and 1404?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1643c (base 15) to base 4.\nAnswer: -101202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2792098 to the nearest integer?\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, -0.169, -14997?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.45 - -1.55. What is the nearest to 2 in b, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 w, and 1 q when three letters picked without replacement from qjtwwwqtjjwjjttqqj.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 31 + 39 + -40 + (0 - -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104856, 209727, 314598, 419469, 524340?\nAnswer: 629211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -253 - -371. Let w = 135 - p. Let q = w - 8. What is the second biggest value in -0.5, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from wwoq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyggfggbg. What is prob of picking 1 y, 1 f, and 1 b?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -97, 1, 28.\nAnswer: -97, 1, 2, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40 - -2032472?\nAnswer: 2032512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 82\/(-3)*(-150)\/20. Suppose 0 = -0*b - 4*b + 3*t - o, 3*b + 190 = -5*t. Which is greater: b or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 451 + 1709. Let i(y) = -y**3 + 74*y**2 + 839*y - 7. Let z be i(-10). Suppose 8*n = z*n + s. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*s = v + 10, 5*s - 5 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 1\/3*y**3 + 0*y + 17*y**2 + 0 + 3\/8*y**4 + 1\/15*y**5. Determine p so that d(p) = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*a + 3)*(-6 - 21 + 14) + 9*a + 0*a + a + 7 - 7 + a.\nAnswer: 37*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2905465*p + 2905465*p - 520*p**2.\nAnswer: -520*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 21. Let j be k(15). Let p be (-4)\/(((-12)\/j)\/4). Let y = 18 + p. What is the remainder when 8 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 3698393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 4:50 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066 a factor of 35849232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by 3945.\nAnswer: 31\/3945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**2 + 1 - 1)*(3*v**2 - 3*v**2 + 2*v**2) - 174618*v**3 + 174618*v**3 - 31*v**4 to d*v**4 + t*v**2 + f*v + m*v**3 + r and give d.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000188451 to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -718\/1911 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 4)\/(-18)*-3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**6\/120 - x**5\/20 - x**3\/2 - 31*x**2 - 5*x. Let v(b) be the first derivative of b**3\/3 + b - 1. What is n(m) + 3*v(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 4:56 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 656*z**2 - 62*z + 12. Let y(v) = -164*v**2 + 14*v - 3. Calculate 2*c(g) + 9*y(g).\nAnswer: -164*g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**11\/(a**10\/a))**(-1\/22)\/(a*a**(3\/7)*(a\/a**10)\/a)**(-13\/5) assuming a is positive.\nAnswer: a**(-1723\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/429730 and -32\/33495?\nAnswer: 411251610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -24\/145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 16 = 3*f. Suppose 4*c + c - 4*v - 130 = 0, 3*v = -f*c + 104. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((621\/72)\/(-23)). Let h(t) = 9*t + 13. Let k(w) = -14*w - 20. Calculate g*h(n) - 5*k(n).\nAnswer: -2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 6*c = -9*c - 1249, -237 = -h + 7*c. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44506 and 166243.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 165780171197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 4, -6, 645?\nAnswer: 645","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azzl when four letters picked without replacement from {a: 8, z: 2, g: 1, w: 2, l: 5}?\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3698*l + 6067*l + 3397*l - 111*l = -1657477 for l.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -93*b + 525. Let q(t) = -5*t. Determine q(n(u)).\nAnswer: 465*u - 2625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8248528 divided by 284432.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 17*t**5\/20 - 9*t**3\/2 - 32*t. What is the second derivative of x(j) wrt j?\nAnswer: 102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1155, 2289, 3401, 4491, 5559, 6605?\n\"Answer: -11*i**2 + 1167*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1246 = -2*d - f, -4*d + 4*f = 5*f - 2494. Suppose 0 = -7*p + d + 209. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -8, 0.4 in decreasing order.\nAnswer: 11, 0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4*(2\/(-12))\/((-253)\/(-9867))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 4*y + 6)*(-10 - 2 - 17 - 5) in the form z*y + n and give z.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*i + 26614, 3387 = i - 2*b - 9914. Put -3, i, 3, 0 in descending order.\nAnswer: i, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24201.\nAnswer: 3, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 12*x**2 + x + 9. Let t be r(-6). Let b(w) be the first derivative of -w**4\/4 + 2*w**3\/3 - w**2\/2 + 4*w + 3. Give b(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3103 = -4*r + 3*y, 2346 = 3*r - 9*y + 13*y. Let o = r - 407. Is 29 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -0.06, 2.8, 1, -1, -57 in decreasing order.\nAnswer: 2.8, 1, -0.06, -3\/7, -1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*w**2 + 140*w + 42 - 89 + 47 wrt w?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 1. Let x be u(2). Suppose 0 = -2*w - 3 - 3. Let y = w - -5. Solve 0 = -5*s - 15, y*l - x = 2*s - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*d - 100 = 59 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 19*c**4 - 3*c**3 + 43*c + 3. Let g(n) = 58*n**4 - 10*n**3 + 128*n + 10. Let r(w) = 3*g(w) - 10*x(w). Find the second derivative of r(t) wrt t.\nAnswer: -192*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16190 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18 + 18)*(0 - -2)\/4. What is the biggest value in -0.1, q, -3\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36dac (base 15) to base 4\nAnswer: 222301230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2 - 42*r + 40. Let z be x(1). Let f = -15 + 8. Sort z, 2, f.\nAnswer: f, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10104442 (base 5) in base 6?\nAnswer: -1431012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 3. Let h(g) = g + 3. Let j be h(0). Suppose j*k + 15 = -s + 4*s, k = -s + 11. Calculate the least common multiple of s and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 - 35*r**2\/3 + 268*r + 900.\nAnswer: -(r - 18)*(r + 3)*(r + 50)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 29*p**2 - 284*p + 8. Let f(u) = 2*u**3 - 64*u**2 - 567*u + 18. Give -5*f(k) + 11*g(k).\nAnswer: k**3 + k**2 - 289*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*c - 347*c - 7 + 3 + 5619*c**3 - 1491*c**3 wrt c.\nAnswer: 24768*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/17620 and -13\/14686270.\nAnswer: 29372540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 14*s - 8. Let x(y) = -5*y + 3. Let a(f) = 3*v(f) + 8*x(f). Suppose -2*z - 4 + 10 = 0. Let r be (-4 - (0 + -3)) + z. Calculate a(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 17*v**8\/168 - 31*v**5\/30 - 1573*v**4\/12 - 1164*v**2 - 3. Find the second derivative of w(r) wrt r.\nAnswer: 680*r**3 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/13, 55, -15, 0, -5, -4\/3, -4?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 5. Let v = 2 + 4. What is the remainder when v is divided by p(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from pdhdxsd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p**2 - 101*p + 9. Give r(12).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -424, -1177, -2594, -4867?\nAnswer: -8188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f + 189. Let v be q(-15). Let r be (-12)\/10*(-2 + -8). Calculate the greatest common factor of r and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24623 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3))\/((-2)\/9). Suppose j*f - 139996 = -2*s, f - 67680 = 5*s - 20992. Suppose -2*n + f + 63332 = 0. What is n rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 66.99999962. What is l rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5409 divided by 90?\nAnswer: -601\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - sqrt(136)*2)*2)\/(2*sqrt(8)*-2) - ((sqrt(17) + ((sqrt(3400)\/sqrt(2))**2 - sqrt(17)) - sqrt(17)) + (-4*sqrt(68)\/sqrt(4))**2).\nAnswer: -1972 + 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/13 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**8\/448 + j**7\/280 - j**6\/160 - j**5\/80 + j**2\/2 + 1. Let h(w) be the second derivative of n(w). Solve h(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 241.97 - 242. What is the closest to 0 in d, -5, -1\/18, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 s, and 1 z when four letters picked without replacement from {p: 2, h: 1, z: 10, s: 1, m: 3}.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2052153491.001157 + -2052154472. Let w = -981 - j. What is w rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*h + 2, 3*k = 5*k - h - 5. Suppose 0 = -b - k*b + 1180. Suppose -2*t - b = -7*t. Does 21 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**7\/2520 - p**5\/60 + p**4\/12 - 3*p. Let u(y) be the third derivative of k(y). Find the first derivative of u(x) wrt x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -319a (base 12) to base 11\nAnswer: -4101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1486 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5496 + -5493. Suppose 2*u + z - 20 = -2*z, -z = -5*u + 50. Solve v - u = j*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 + 0.1. Let f = y + 3. Let h = 5.07 - 0.07. Which is greater: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20222111110 (base 3) to base 4\nAnswer: -201203013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1833704917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 427\/21 + (-30)\/(-45) and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3701 a factor of 534116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 10*y + 6. Let c be n(13). What is the greatest common divisor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 7.8. Let u(n) = -37*n + 488. Let h be u(0). Let d = h + -3414\/7. Which is the nearest to -2\/5? (a) p (b) 17\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/7)\/x*x\/(x\/(x\/x**(-5))*x*x)*x*x**(-1\/2)\/x*x*x\/(x*x\/(x**(1\/3)\/x*x*x))*x assuming x is positive.\nAnswer: x**(209\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 121913633087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37196 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 37*p. Calculate u(-11).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*n = -i - 64, 0 = -5*i - n + 76. Suppose 0 = 4*m - i - 48. Suppose 2*l**3 + m - 6 + 6*l**2 - 10 = 0. Calculate l.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 21*f + 63. Determine l(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3) + 36\/27. Suppose -k*a - 647 = 3*m - 8*m, 3*a = 4*m - 988. Let t = a + 3028\/9. Is t not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 34. Suppose l = 3*l + 24. Let x(i) = -i**3 - 12*i**2 + i + 11. Let c be x(l). What is the closest to 1 in r, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -307\/290 - -22\/29. Suppose 2*q - q = -3. Let f be (-168)\/(-36) + 12\/q. What is the second biggest value in f, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 - 9*z**2 - 10*z + 1. Let t(y) = y + 12. Let d be t(4). Suppose -2*h - 23 = 2*h + f, -3*h = 2*f + d. What is the hundreds digit of m(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -3*r - 36, 2*p = -2*r - 35 + 67 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18931312*m**3 + m**2 + 658177*m + 2.\nAnswer: -113587872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 6116.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 14 (c) -0.18 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*m**3*w**4 - 15*m**3*w**2 - 5*m**2 + m*w**3 - 26*w**4 + 6*w**2 wrt w?\nAnswer: 120*m**3*w + 6*m - 624*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-2 - -3 - -1). Suppose -o - 3*m - 15 = x, -4*o - 5*m = -2*o + 29. Let k = o + 17. Solve 0 = -2*b + k*b + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -4. Let o = 36.1 + -32. Let n = o + -4. What is the closest to n in 4, 1\/5, g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*k = 17697, 9*o + 5*k = 4*o + 88460. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27048*z**2 - z**3 - 27048*z**2 - 3*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 2. Suppose c - 2 - r = 0. Suppose 0 = y - c*y + 150. What is the greatest common divisor of 30 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 (base 10) in base 7?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*y*z - 143140*y - 24*z**2 + 8841*z wrt z.\nAnswer: 9*y - 48*z + 8841","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 1\/(1\/18*2). Let s(c) = -c**3 - 7*c**2 + c + 4. Let h be s(x). What is the highest common divisor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/sqrt(36) - (sqrt(3630)*-2 + sqrt(30)))\/(sqrt(42)\/(-2*sqrt(175))).\nAnswer: -215*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -508*m + 3055. Calculate a(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, a: 4, t: 3}. Give prob of picking 4 a.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -613 and -614 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27823982?\nAnswer: 2, 13911991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 74072*z**2 - 16*z + 34. Let s be l(-14). Suppose -d = -2*w + 6440002, 4*w - d - s + 1638368 = 0. What is w rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**5*g**2 - 273*a**2*g**3 + 3*a*g**3 + 4*a*g + 16 wrt a.\nAnswer: 20*a**3*g**2 - 546*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-57)\/51 - -1 - (4 + (-567)\/51). Solve -n = 2*u - 6*x + x, -5*u - 34 = 4*x for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + sqrt(704) - sqrt(396)*-6)**2.\nAnswer: -440*sqrt(11) + 21316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1497, -1562, -1651, -1752, -1853, -1942, -2007?\nAnswer: -2036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 363 = 4*t, -t - 4*q + 5*q = -96. What is the remainder when (t*(-1 + 3))\/(-6 - -7) is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1941.5 + -1941. What is the smallest value in 5\/2, f, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.06944 nanograms to grams.\nAnswer: 0.00000007506944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-228)\/(-38)*26\/156.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14504 - -3259.\nAnswer: -11245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*x + 4*p = -64*x + 7, -2248 + 2254 = 2*x + 4*p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16967358 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -221 + 237. Solve 21*h + 5 = r*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 21671*y**2 + 173311*y + 151641.\nAnswer: (y + 1)*(y + 7)*(y + 21663)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 0 - 1 = 2*z, -l = 5*z + 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -117 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - v**2 + 0*v**2 - v + v - 2*v**2 + (-3*v + 2*v + 0*v)*(-3 + 3 + 2*v) - 116*v**2 + 74*v**2 - 92*v**2 in the form l*v**2 + k + x*v and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.198, -2, -49\/6, 2\/7.\nAnswer: -49\/6, -2, -0.198, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q = -6. Suppose 4 = i - d, 3 = -3*i - 3*d - 3. Calculate the least common multiple of i and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -5*y**7\/84 - y**6\/12 + 3*y**5\/4 - 213*y - 2. Factor u(p).\nAnswer: -5*p**3*(p - 2)*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -17*m**2 + 53*m + 123. Let b(z) = -4*z**2 + 13*z + 29. Let t(q) = -13*b(q) + 3*f(q). Determine t(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*w - 2. Let t(m) be the first derivative of -m**3\/3 + 9*m**2\/2 - 8*m + 13. Give t(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (7 + (-9 - 8)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 6*b - 4*b)*(-4 - 5 + 1).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + 46. Let x = -54 - h. Which is smaller: 6\/13 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44834081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25240 rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 2*l**2 + 7*l. Let w be j(-4). Solve x + 3 = w*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-2)\/2 + 0. Let l be 224\/10 + 2\/(-5) + 2. Calculate the highest common factor of g and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, k: 5}. Give prob of sequence kqkq.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -0*i - 8*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04416077 to 3 decimal places.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 9 = -4*q, 3*m - 8 = 4*q + q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjc when three letters picked without replacement from tjdcttgttgndngnjdtd?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 546243571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o. Let x(l) = -8*l**2 + 11*l. Let i(y) = 4*y**2 - 6*y. Let r(w) = -11*i(w) - 6*x(w). Calculate r(c(a)).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -c - 13*c**3 - 6 - 12*c**2 - 3*c**2 + 14*c**3 - c**2 in the form w*c**3 + u + j*c**2 + m*c and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2942 is divided by 371.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4873058 (base 10) to base 8\nAnswer: 22455542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 - -101. Let b(k) = -12*k**2 - 8*k - 15. Let t(o) = -8*o**2 - 5*o - 10. Let y(j) = a*b(j) - 8*t(j). Let d(l) = -1. What is -5*d(w) - y(w)?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 11*z**2 - z. What is c(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-14) + (-37)\/(-7). Suppose -x*j + 102 = 2*r - 2*j, 0 = 3*j - 6. Suppose 4*p - 81 = p + 3*f, -2*p = -5*f - r. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -85 from -3587804210.\nAnswer: -3587804125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96064 + -68031. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 17. What is the nearest to 2 in q, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3 = a. Suppose -2*c - 25 = a*c. Let n = 27 + c. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 4*j + j)*(-5*j + 5*j**2 + 5*j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, 2, 2764, 3, -2, 16 in decreasing order.\nAnswer: 2764, 16, 7, 5, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(-56))\/((-5)\/35).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*r + 26*r + 30*r - 100*r.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 727 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**5 - 57852*b**4 - 10394916*b**3 - 431754628*b**2 + 2877436896*b - 4461171264 = 0. What is b?\nAnswer: -92, 3, 14641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0544 - -36.\nAnswer: 35.9456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 7*s**2 - 5*s + 7. Let w(a) = -35*a - 289. What is the remainder when z(-7) is divided by w(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 25. Let d(k) = k - 5. Let r be d(g). Let o = -2 + 8. Solve r = -f + 3*f - o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4686?\nAnswer: 2, 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009673 rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 8671*p + 1436831. What is x(169)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 14*h**2 + 13*h - 1. What is z(13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*d + 14*d - 31*d + (2 + 2 - 3)*(-2 + 2 - 2*d) + d + 0*d + 0*d)*(426*d - 33*d**2 - 426*d).\nAnswer: 198*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**2*x**2 + 79*o**2*x + 19152487*o*x**2 + 74*o*x - 4*o - 2*x**2 - 7*x wrt x?\nAnswer: -2*o**2 + 38304974*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.721893 - 0.18\nAnswer: 0.541893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0469 and -0.03.\nAnswer: 0.0169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 - v**3 + 3*v**2)*((-2 + 1 - 2)*(-v + 0 + 0) + 2*v - v - 2*v - 13 - 15*v + 13).\nAnswer: 13*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 585 and 2115.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 5*z - 3\/2.\nAnswer: -(2*z - 1)*(4*z - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73936?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107737\/16920 - -290\/47. Let g = -1\/40 + o. Let z = 0 + -0.1. Is z at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 1 + 1)*(-6*n**3 + 3*n**3 + n**3) + (-5 + 3 - 1)*(2*n**4 - n**4 + n**4) - n**4 + 3*n - 3*n.\nAnswer: -11*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(192) + -3*sqrt(192))\/sqrt(12))\/(sqrt(72)*-2 + sqrt(8)))**2.\nAnswer: -16*sqrt(2)\/5 + 408\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*i = 8*i - 176 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**2 - 2*h**2)*(0*h**2 - 3*h**2 + h**2)*(504*h - 1896*h + 804*h).\nAnswer: -2352*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (-4)\/(-2) + -1. Let p(g) = 4*g - 4. Let i be p(5). Suppose -520 = -146*y + 16*y. Solve 0 = 2*q + k*q - 3*m - 20, -i = -y*q + 4*m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from wuwr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 4 - (7 - (18 + -5)). Suppose 0 = x - 3*f + 7, -3*x + 7*f = q*f + 33. Which is greater: -7 or x?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 944 + -509. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d + 3. Let y(t) = 2*t - 1. Let l(j) = j**2 + 10*j - 9. Let w(p) = l(p) - y(p). Determine -8*a(b) - 3*w(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.79 (b) -3.34 (c) -1\/3 (d) 10 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7438 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -54*143\/(-22)*13\/169\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 1008 = -3*v. Suppose -3*g - v = -4*i + i, g - 3 = 0. Let c = i - 38. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.134 - -0.134. Which is the second biggest value? (a) -1\/3 (b) m (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -2*x**2 + 33*x - 2. Suppose 3*u - 2*m = -28, -40 = 5*u + 2*m - 4*m. What are the prime factors of v(u)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1127 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 338281613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*v - 20 = -0*d, -4*d - v + 4 = 0. Sort 4, -4, -51, d in increasing order.\nAnswer: -51, -4, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22103\/5 - -4377. Let n = b - -43. What is the closest to 1 in n, 0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5342 - -5342. Which is bigger: u or -37\/42?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3*q**3 + 14494*b**3*q**2 - 6*b**3 - 1975*b*q - q + 2 wrt q.\nAnswer: 12*b**3*q + 28988*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b + 15*b + 120 = -17*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.1 (b) 14 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 4*a**2 - 3*a - 6. Let r be q(5). Suppose 16 + r = 5*i. Let c(n) = 6 + 2 + 0 - i*n - n - n**2. Calculate c(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.448429nm to centimeters.\nAnswer: 0.0000000448429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f + 37. Let l(w) = w**3 + 8*w**2 + 11*w - 4. Let d be l(-3). Let a be y(d). Solve 3 = a*b + 23 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/480 and -89\/1240.\nAnswer: 14880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*w = 638*w + 11342 + 5326 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -762, -772, -786, -804, -826, -852, -882?\n\"Answer: -2*g**2 - 4*g - 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 476?\nAnswer: 476.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1030.26 + -1034.4. Which is greater: v or -13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**5\/20 + i**4\/4 - 5*i**3\/6 + i**2 + i. Let j = 2 - 2. Let o(l) = -l**3 - l**2 + l - 4. Let u be o(j). Give x(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -3. Suppose -24*h + 3248 = -1960. Let m be x\/(-3) - h\/714. Is m < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -49, -149, -295, -481, -701, -949, -1219?\n\"Answer: n**3 - 29*n**2 - 20*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 2:53 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3479 + -3459. What is the greatest common factor of 1860 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/101 not equal to -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i - 3*i + 4*i + (-3 + 3*i + 3)*(1 - 3 - 1) + 0*i - 4*i + 3*i)*(-3 + 3 + 2*i)*(-12*i + 19*i - 272*i) to p*i + v*i**3 + m + l*i**2 and give v.\nAnswer: 7420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28666.99999998414 - -28667. What is w rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540307 is divided by 3105.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/801 and 24\/2759.\nAnswer: 24831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/20)\/(6\/8). Let q = 7 - 6.7. Let w = q + 3.7. Which is the closest to 0? (a) i (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/7)\/(j**(4\/9)\/j))**35*(j**3*j*j**(2\/3))\/(j**4\/(j\/j**(-3\/5))) assuming j is positive.\nAnswer: j**(1427\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64 by -17.\nAnswer: -64\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 751058*v - 9012669. What is d(12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8463 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(2736) - (sqrt(190)*-2)\/sqrt(10)) + -3)*5*1)**2.\nAnswer: 3300*sqrt(19) + 230125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*b + 1444 = 0, 7*b = -2*r + 6*b + 1441. What is the greatest common divisor of 54 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -4 (c) 157\/2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-34)*h**(-3\/4))**(-50) assuming h is positive.\nAnswer: h**(-3425\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -6*m + 2*m + 10, -3*w + 2 = -4*m. Suppose -3*n + 1353 = -2*y, 734 + 1505 = 5*n + w*y. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100000 - -11?\nAnswer: 100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 20*w**2 - 2*w - 2. Let k be x(-1). Suppose -k = -0*l - 4*l, -t - 22 = -5*l. Suppose -t*j + 13 = s - 15, -3*j - 37 = -4*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -11 + (-5 + 2 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69557 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 16 = 7*h. What is the biggest value in h, -2\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 101.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4797 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/13)\/k**(-6))**(-12))**(-4\/13))**(3\/11) assuming k is positive.\nAnswer: k**(11520\/1859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - y + 4. Let j be f(3). Suppose 0*k = 4*k + 76. Is k bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 5*l - 9. Let j be y(-2). Let o(f) = -10*f**2 - 10*f + 4. Let c(x) = -21*x**2 - 20*x + 8. Let q(h) = j*o(h) - 4*c(h). Factor q(m).\nAnswer: -2*(m + 2)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 674955172 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from reooeoeeoeece. Give prob of picking 1 c and 2 e.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 + (1 - 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 694296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 3*t + 6. Let y be d(5). Calculate the remainder when (-3)\/(-2) - 2\/y is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 174229\/69540 - 999\/380. Let q = -3\/305 + o. Let s be -1 - 0 - (19 + -19). Which is greater: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6 - 1)*(11 + 4208\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -4*p - 20, 998*p + 9 = 1001*p + 3*h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**(2\/41)*y**13*(y\/(y**(-2\/3)*y*y)*y)**(-38) assuming y is positive.\nAnswer: y**(-1265\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 2.5. Let z = -3.69 - -3.39. Which is the closest to 1? (a) l (b) z (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6303126 and 12.\nAnswer: 12606252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 53*l + 17 + 11 + 22 - 48 - l**3 as o + z*l + j*l**3 + f*l**2 and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1965 + 3861 - 1896 - 307*v**3.\nAnswer: -307*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 - 4 = 0. Let b be o + 5\/(5\/(-2)). Solve 2*v + b = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7637 is divided by 2511.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1382 (base 16) to base 14\nAnswer: -1b6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q - 1. Let c(y) = y - 7. Let f(s) = 1. Let b(v) = -c(v) - 6*f(v). What is -2*b(u) - l(u)?\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 718187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -140110 divided by -28022?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/5)\/(2\/5). Let q(x) = -7*x**2 - 3*x. Let s(w) = -6*w**2 - 2*w. Determine o*q(t) - 3*s(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2005*655.5\nAnswer: -1314277.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t = -5*t + 32*t - 2484 for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.18555146 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + sqrt(252)*-1*-1)**2.\nAnswer: -36*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8114*b + 116. Let k(m) = -24342*m + 329. Determine -6*k(n) + 17*z(n).\nAnswer: 8114*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -27.1846\nAnswer: 2.71846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2304047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 3:26 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.24 (b) -1 (c) -0.1 (d) -23 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-4184.37\nAnswer: 3347.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k = 3*g, 0 = 3*k + 2*g. Suppose -3*u - 3*q + 8*q = 120, k = 2*u - 3*q + 81. Let x = u + 71. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 28 = -2*g, 4*g - 3*t = -6*t + 57. Suppose -p - g = -20. Solve -10*k**5 + 205 + 212 + p*k**3 - 417 + 15*k**4 - 15*k**2 + 5*k = 0 for k.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 + 3*v**2 + 1853*v + 12908. What is a(-7)?\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1053) + 3 - sqrt(1053))**2 + sqrt(1053) - sqrt(1053)) + (sqrt(78)\/sqrt(6))**2*-6 + -2.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/13 + (-122064)\/(-1560) + 4\/(-10). Solve 0 = h*x - 27*x + 408 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -59627, -121986, -184343, -246698, -309051?\n\"Answer: l**2 - 62362*l + 2734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -355.00326 - -355. Round j to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 2849424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268779355 is divided by 5367?\nAnswer: 5362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 5*n - 3*n)*(0 + 0 - 2*n**2)*(42 + 7*n - 42).\nAnswer: -42*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3\/4)*k*k\/k**(1\/7))**(-32\/7) assuming k is positive.\nAnswer: k**(-472\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*l - 11255*l**2 - 101*l.\nAnswer: -11255*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*k**3*t + 2*k**3 + 11*k**2*t + 5*k**2 + 20*k*t + 378*t wrt k?\nAnswer: -48*k*t + 12*k + 22*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**4\/3 + 4*r**3 - 3*r**2\/2 - 14*r. Is p(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b**2 - b. Let j(p) = -p**2 + 4*p - 2. Let d be j(2). Let x be q(d). Suppose 2*f = 3*f - x. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62610493.\nAnswer: 11, 97, 58679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + 3*h - 28. Let i(y) = -6*y**2 + 8*y - 85. Calculate 3*i(q) - 8*v(q).\nAnswer: -2*q**2 - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23936846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d - 2. Determine a(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Suppose 5*g + 8 = j, g + 2*g = -2*j - 10. Let b be 1 + (-3 - g - 0). Solve c - 4*c - z = b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, s: 5}. Give prob of picking 2 w and 1 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7765711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -511604.17 rounded to the nearest one hundred?\nAnswer: -511600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -211013?\nAnswer: -211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = 21. Suppose y = 3*p - 0*p. Suppose p*z - 155 = 2*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22028015 and 17995?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336748 is divided by 1582?\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 6*w**2 - 2*w - 8. Let k be n(-6). Let u = k + -2. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 450462699611\/5961 + -1333186\/1987. Let m = -107457218453\/1422 + l. Let w = 4\/711 + m. Find the common denominator of -14\/9 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**6\/3 - 28*i**5\/5 + 13*i**4\/2 + 168*i**3 + 324*i**2 - 816. Suppose r(f) = 0. Calculate f.\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*l - 96*l = 315 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = j + j + 28, -7*j = -6*j - 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.060146 litres to millilitres.\nAnswer: 9060.146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 divided by 4665?\nAnswer: 181\/4665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46\/11 + (-4)\/22. Suppose -2*a + 77 = -y + 2*y, -5*a - 321 = -q*y. What are the prime factors of y?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4141365240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8 = 3. Let y(i) = -4*i**3 - 8*i**2 + 7*i + 9. Let w(k) = -k**3 - 3*k**2 + 2*k + 3. Let o(p) = -7*w(p) + 2*y(p). Let n be o(d). Is n < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 11*h**2\/2 - h + 1952. Let p(l) = l. Calculate -i(q) - 3*p(q).\nAnswer: -14*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10635703810\/1827 - -5821403. Let y = -1\/261 - v. Factor 2\/7*a + y*a**2 - 4\/7.\nAnswer: 2*(a - 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v. Let n be k(1). Suppose z + 5*s - 24 = 0, -4 = -n*z - s - 2. What are the prime factors of 1\/z*-1 - -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 3066 = -553 + 1487. Calculate the highest common divisor of i and 1100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o - 8*o - 20. What is the first derivative of -2 + 8 + 13*c**4 - o*c**4 wrt c?\nAnswer: 32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 170*j - 970. Calculate the remainder when 431 is divided by r(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 12:59 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65962 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-3))\/(3\/2*10\/(-3)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2263606 to the nearest integer?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1264*o**2 - o + 1549*o**2 + o.\nAnswer: 285*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**4\/4 - 2*f**3 + f**2 + 9*f - 29. Let y = 242 - 248. Calculate z(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-6)\/11 + 815\/1595). What is the highest common factor of 2552 and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6593672 - 6593672 - k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d - 23. Give m(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014876236907 rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16*299\/4784)\/(2*15\/(-9))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24*40371.\nAnswer: -9689.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 428814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1380 + -686. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*k + 60 = 5*v - 477*k, -12 = 2*v + 2*k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (440\/(-60))\/(4\/(-12)). Let g(q) be the third derivative of -1\/60*q**6 + 1\/210*q**7 - t*q**2 + 0*q + 1\/12*q**4 + 0 - 1\/60*q**5 + 0*q**3. Factor g(m).\nAnswer: m*(m - 2)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 12:19 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39357, -39358, -39359, -39360, -39361?\nAnswer: -39362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, d: 1, h: 4, i: 7, j: 3}. What is prob of sequence ydy?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6984094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + -1 + -1 - (sqrt(7) - (sqrt(7) + (sqrt(448) + 3*sqrt(448))**2)).\nAnswer: sqrt(7) + 7166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let a be u(2). Suppose a*x = -7 - 9. Let w = -5 - x. Solve -b + w*q + 1 = 0, -b = b + 3*q + 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.02, 0, -1, -0.7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(13) + (3*sqrt(832))**2 - sqrt(91)\/(sqrt(7) - sqrt(7)*2) - (((sqrt(26)\/sqrt(2) + sqrt(13))*5)**2 - (sqrt(208) + 5))*-3.\nAnswer: -9*sqrt(13) + 11373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61031084 rounded to two decimal places?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134*i**2*o*q**2*r**2 - 109*i**2*r**2 + 1389*i - o*r - 2*q**2*r**2 + 3*r**2 - 1 wrt i.\nAnswer: 268*o*q**2*r**2 - 218*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 - 2e?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - (sqrt(637) - (sqrt(637)*-2 - sqrt(637))))**2*-4 + -1 + sqrt(637) + -5.\nAnswer: -22938 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 2)\/1*(-35 + 36). Suppose m + 8 - 13 = r. Solve -5*b + 4*b = -m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -471491, -12, 3.\nAnswer: -471491, -12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 178 - 22 = 0. Suppose -m*i + 485083 = -10*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8325224ml?\nAnswer: 0.0008325224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2444100 (base 6) in base 9?\nAnswer: 218010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3) - (6 - (-22)\/(-3)). Suppose 2*h - 5 - 3 = 0. Suppose -3*c + h*c - 3 = 0. Solve 4*y = -i - 18, -c*y + 3*i = -j*i + 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*k**2 + 131*k**2 - 6*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (-9)\/((-243)\/549))*18\/(-24). Solve 32*h - 95 = j*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + 1. Suppose 5*f - 2*j + 30 = j, 0 = -4*f + 3*j - 24. Let c = f + 8. Suppose -w - 2*g = -3*w, -c*g = 2*w - 12. Calculate y(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 724 = 6*c + f, -3*f = -2*c + 732. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57\/175 - -1010931\/350. Let y = 2884 - s. Find the common denominator of -49\/23 and y.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - v**2 - 6*v + 14. Let o be c(3). Suppose -o*d = -267 + 57. Solve -2*t = t + 2*h, -d = 5*h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282450098 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-21)*-23*(-770)\/2530.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -42. Let l(d) = -84*d - 7. Let b be l(f). Let j = b + -85. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6002740 at least as big as -6002741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/13759 - 13767\/110072. Put v, 13, -0.5 in descending order.\nAnswer: 13, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -239913, -238737, -237561, -236385, -235209?\nAnswer: -234033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**2 + 228*x - 1568 = 0.\nAnswer: 8, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3\/2 + 981*j**2 + 17931*j\/2 - 9945 = 0. What is j?\nAnswer: -10, 1, 663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -7*u**3\/3 - 5*u**2\/2 + 6*u + 34. Let m(d) = 13*d**2 + 9*d - 11. Let l(g) = 4*m(g) + 7*q(g). Suppose l(p) = 0. Calculate p.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 16*u - 20. What is v in 20*v**u + 10*v**4 - 30*v**4 - 5*v - 151*v**3 + 136*v**3 + 20*v**5 = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 4:32 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153230 and 220.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 2:34 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(1539) - (sqrt(1539) + sqrt(1539) + 1)) + sqrt(57)\/sqrt(3)*-6 - (4*sqrt(57)\/sqrt(3) + sqrt(2299) + 2*sqrt(2299))))**2.\nAnswer: 51376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -5*y**3\/6 + y + 3. Let x(o) be the first derivative of i(o). What is x(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + z - 8. Let k(t) = t + 8. Let d be k(z). Solve 0 = r - d*r - w - 6, -w = 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 280 - 248. Solve d*s + 6 = 34*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.024 - -3.076. Let f = -0.1410262 - 2.9588098. Let c = s + f. What is c rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + ((-21)\/2)\/(-7). Which is greater: l or -8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -62447 = -62447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 12356442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32407447.\nAnswer: 32407447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, i: 1}. What is prob of picking 2 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 2*m + m)*(-28 + 15*m + 28) + (-3003 + 11*m + 3003)*(-m + 2*m + m).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**6\/15 + i**5\/10 - 3*i**4\/2 + 11*i**3\/3 - 4*i**2 + 65*i. Suppose z(c) = 0. What is c?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 621959109.58.\nAnswer: -621959107.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3438 and 1152.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -178.3 - -178. What is the biggest value in 1.2, j, 11, 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - -1. Let s = 12 - u. Let y = -2 - -2.1. Which is the nearest to s? (a) 3 (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008)*-2 - sqrt(1008))*5 + sqrt(343) + sqrt(343) + sqrt(343) + 1 + -5)**2 - ((1*sqrt(1694) - sqrt(1694))\/(sqrt(98)*3))**2.\nAnswer: 1272*sqrt(7) + 176983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 1:12 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1659.8762 rounded to the nearest 10?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*l + 248 = -7, -4*l - 336 = -5*q. Solve 47 + 13 = q*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 1306*y**4 - 48 - 28*y - 24*y**3 - 1300*y**4 + 104*y**3 + 94*y**2 = 0?\nAnswer: -12, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 70 - 3*b + 131.\nAnswer: -3*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 7*f + 42 = -48 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8226 - -403104\/49. Let f = j + -16\/49. Let q = -138 - -1516\/11. What is the biggest value in -0.5, f, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1372) - sqrt(1372)*-2)**2 + (-1*(sqrt(7) + -2) - sqrt(1008)*-3).\nAnswer: 35*sqrt(7) + 37046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 69 + 1501*f**2 - 33.\nAnswer: 1501*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - 727*l\/3 - 6970.\nAnswer: -(l + 30)*(l + 697)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (-17 - -36) - -9 - -17.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000652188 rounded to 7 decimal places?\nAnswer: -0.0000652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - v**2 + v + 3. Let u be i(0). Suppose 2*j = 4*w - 16, w - u*w + 18 = 4*j. Suppose 5 = j*d - 1. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5 - 5576*i**4 + 78308*i**3 + 268370*i**2 + 279517*i + 95030 = 0. Calculate i.\nAnswer: -5590, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(7*3\/21)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*l + 25 = 62, -3*j + 3*l + 21 = 0. Suppose 2*r + 3 = m, -m = r - 5 + j. Let s be (4 - (-2)\/2 - 4)\/m. Let h(b) = -3*b**2 - b - 1. What is h(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19060 + 18553.8. Round x to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 549017.4 weeks to nanoseconds.\nAnswer: 332045723520000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2369 (base 10) to base 11.\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 9*i**2 + 9*i - 5. Let g be q(-10). Let w = 9 - g. What is the second derivative of 4*p - 2*p - 2*p**w - p wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.2. Let d = -123.6 - -124. Which is the closest to o? (a) 2 (b) -0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, a: 4, t: 7}. What is prob of picking 2 a and 1 i?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 52*v**2 + 1628*v + 17. Give i(22).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -287, -433, -579, -725, -871?\nAnswer: -1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 15. Let c(q) be the third derivative of -q**6\/120 + q**5\/60 + 11*q**3\/6 + q**2. Calculate the remainder when c(o) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37.7*-9426.03\nAnswer: -355361.331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j - 5. Let c(p) = 7*p - 6. Let t be (-9 - -6)*-2*4\/6. Give t*c(v) - 5*u(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 327, 302, 269, 234, 203, 182, 177?\n\"Answer: t**3 - 10*t**2 - 2*t + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43827363 is divided by 644520.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 581600 and -0.3?\nAnswer: -174480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 138*t = -131*t - 51, -n - 2*t = 20 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 314 - 802 = 0. Does 32 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19610130.3 rounded to the nearest one thousand?\nAnswer: 19610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (177*a - 326*a + 2 + 161*a + 2*a**2)*(0 + 2 - 1) in the form n + g*a**2 + b*a and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 32*a + 187. Calculate p(-38).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 213a9 (base 11) in base 3?\nAnswer: 1120122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3294 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/20*(-17)\/(272\/(-20))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5 - 284*f**4 - 8570*f**3 + 106744*f**2 - 328928*f + 231040 = 0. What is f?\nAnswer: -76, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -2*w**3 - 3*w**2\/2 - 18*w + 108. What is the second derivative of n(p) wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6647, 6645, 6643, 6641?\n\"Answer: -2*p + 6649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3822.232l?\nAnswer: 3822232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -947*b**4 + 110*b**3 - 671917*b wrt b.\nAnswer: -11364*b**2 + 660*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 24*x**2 + 2*x + 16 to z + a*x + w*x**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3 - y - 5 + 4. Let i(r) be the second derivative of r**3\/6 + 5*r**2\/2 - r. Suppose -2*f - 17 = d, -7 = 5*f - 5*d - 2. Give f*i(j) - 7*l(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -51, -65, -73, -75, -71?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6. Let n be (6\/4)\/((-1)\/2). Let b = u - n. Solve b*x - 9 = 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(18\/(-8)*118\/(-354))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2227 + 2036 = 826963*o - 827050*o for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 8:01 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1764))\/sqrt(7).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*b + 16*b - 23722. Let x = b - -1552. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*h - 3*d + 74, 4*h - 54 = 2*d. Let t(i) = -i**2 + 9*i + 89. Let o be t(h). Sort 4, o, 39 in descending order.\nAnswer: 39, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(5\/6)*i*i**4*i)**(-10))**(-3\/23))**(-3\/22) assuming i is positive.\nAnswer: i**(-615\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.61 - -2.5. Let j = -3.89 + h. Let m be ((-3)\/(-14))\/((-18)\/24). Which is the second biggest value? (a) m (b) j (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - k - 9, -948*k - 4 = -944*k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 76893.69 nanometers?\nAnswer: 0.00000007689369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**3\/5 + 72*t**2 - 4323*t\/5 = 0.\nAnswer: -131, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 351059 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 - k - 5. Suppose -b + 4*w + 38 = -6*b, b + 2 = 2*w. Let m be d(b). Round m to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**3\/3 - 3*j**2 + 4*j + 2. Let l be f(-7). Let v be 0 - 0 - l - 0. Solve 0*m = 3*m - v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 839 - 835.11. Let d = w + 0.11. Let i = -4 + 3.8. Which is the third biggest value? (a) i (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1253*v. Let y(q) = 3*q**2. Calculate j(y(u)).\nAnswer: 3759*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 668779554?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x - 348. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, c: 1, f: 1, a: 1, m: 3}. What is prob of sequence fac?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/2, -199832 in ascending order.\nAnswer: -199832, -5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 194\/5 + -192\/5. Factor z*m**2 - 4*m + 10.\nAnswer: 2*(m - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 248, 502, 956, 1676, 2728, 4178, 6092?\nAnswer: 8536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, -94, -30, -3\/5, 3\/4, 4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -55, -7, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, p: 2, r: 6}. Give prob of picking 1 r and 1 p.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 11. Let k = t - -0.6. Which is the third biggest value? (a) -2 (b) k (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/2864 and -35\/352.\nAnswer: 63008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -29328 divided by 12?\nAnswer: -2444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**4\/6 + 175*o**2. Let f(x) = 12*x**2. Give q(f(w)).\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 7, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 909721.7 tonnes?\nAnswer: 909721700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16949660 is divided by 16949657.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 7*t**2 - 12. Let a be u(-8). Suppose 17*r = a + 169. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 78312?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172724729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1726*w - 950*w + 708*w - 538*w to m*w + i and give m.\nAnswer: -2506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 35 - 0. Suppose -4*m + 5*w = -21, 2*m + 5 = -2*w - b. Let x be -2*(-2)\/(1*10). Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1755595, -3511189, -5266785, -7022383, -8777983?\n\"Answer: -x**2 - 1755591*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10211121 - -222?\nAnswer: 10212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 5\/15*17 - (-2)\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -9. Suppose -3*l + 26 = d. Suppose 5*k - a = -16 + l, 0 = -3*a - 6. Let z(u) = 2*u**3 + 4*u**2 + 3*u + 1. What is z(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iogg when four letters picked without replacement from oggfirf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*d**4 + 2*d**2*z**2 + 103*d*z**2 - 2*d*z + d wrt d?\nAnswer: 588*d**2 + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 9 (c) -5.5 (d) 5 (e) -69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7357072\/291 + -25282. Let f = 1192\/17751 - c. What is the smallest value in f, 5, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9316408 to the power of 1\/2, to the nearest integer?\nAnswer: 3052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v = 28*v - 14*v + 1134 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 2 - -18 - 8 - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 17 - 13. Let i = -789 + 1000. Let n = i - v. What is the greatest common divisor of 28 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 8*g + 8. Let f be q(-8). Suppose f*x - 3*x - 5 = 0. Let b be (x\/(-2))\/(3\/(-180)). Solve 4*i - 2*l + 2 = 0, -4*i = i + 3*l + b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 130 + 52)*(19 + 33 + 35 - l) as v*l + b and give v.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 425 - 345. Calculate the greatest common factor of j and 960.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d = 21*d + 104. Let q(c) = c**2 + 11*c - 11. Let f be q(d). Solve 7*s - f = 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 - -166. Find the common denominator of (-44)\/w + (-310)\/(-132) and -77\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 651*k**2 - 1287*k wrt k?\nAnswer: 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, 16, 36, 94, 208, 396, 676?\n\"Answer: 3*r**3 - 8*r**2 + 3*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 4*n. Let p be w(3). Suppose -4*l = p*o - 151, 4*l + o - 161 = -4*o. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d + 458 = -16*d + 44*d - 70 for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1444534 + -30342?\nAnswer: 1414162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-29 - (-1 + -9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -17. Is 12 a factor of 86\/((65\/26)\/(z\/(-8)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -577 - -580. What is the least common multiple of 69\/9 + 2\/6 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1118940 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 19668*x + 4. Let g(m) = 2*m + 7. Let r = -16 - -11. Let f be g(r). Let h be w(f). What is h rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27*5\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -13*g + 8. Solve -l - c = 0, -g*l - 2*c = c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeeeewewwee. Give prob of sequence wee.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (217620\/3315 + -66)\/((-15)\/1).\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 4, z: 2, s: 2, j: 1}. What is prob of picking 2 s and 1 f?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 935?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 339777 (base 11) to base 2\nAnswer: 10000011110101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from owbcixc.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 272 divided by 26\nAnswer: 136\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 0.25641, 0, 8 in decreasing order.\nAnswer: 8, 6, 2, 0.25641, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 3:35 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300, -578, -848, -1110, -1364?\nAnswer: -1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-1620)*-27*205.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p - 8. Let q(o) = 2*o + 19. Let x be q(-8). Suppose 12 = -x*j, 18 = 5*c - 5*j - 2. Solve -p*a - 16 = -c*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + -24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 9*p = 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1662*f - 300. Does 21 divide a(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/2 + 17*k**2 - 625*k\/2 - 329 = 0. Calculate k.\nAnswer: -47, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 27 = c. Let t = -19615 + 19689. Calculate the remainder when t is divided by c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96 + (12 - ((1 + (-1 - -10) - 6) + -1)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2462 + 571 = -233*n - 1161 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 5 + 6)*(2 - 54358*q + 52919*q + 0) to r + a*q and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/5052 and -21\/4247890.\nAnswer: 25487340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 355*q**2 + 5324*q - 24. Calculate d(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136\/(-238))\/((64\/(-784))\/((-14)\/147))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4166708 divided by 9?\nAnswer: 4166708\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 879*k - 2 + 2 + 20*k - 950*k + 99*k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - -1 - ((-10)\/2 - -6). What are the prime factors of 167*t\/3*3?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*x - 3*g, -x + 3 + 1 = 2*g. Let f be (-44)\/(-55)*(-20)\/x. Calculate the greatest common factor of 58 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653733 minus 34961?\nAnswer: 618772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -30, -51, -80, -117, -162?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/91)\/(2 + (-6409)\/3211)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 + f**2 + f + 1. Let l be n(-1). Put l, -4, -3 in descending order.\nAnswer: l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -14\/9*v - 10\/27*v**3 - 18 - 13\/9*v**2 + 1\/18*v**4. Factor n(z).\nAnswer: 2*(z - 7)*(z + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 - 322*b - 47*b**2 + 645*b - 323*b.\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*a = -3, 8 = 2*s - 5*a - 46. Suppose -2*i = -s - 101. What are the prime factors of i?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a kilometer in meters?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121596005 or 121596008?\nAnswer: 121596005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1580*f**3*r**2 - 2*f**3*r + 4562*f**3 + 8*f**2*r - 2*f**2 + 467*f*r**2 - 2*f + 640*r**2 wrt f?\nAnswer: -9480*r**2 - 12*r + 27372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 110*r + 148007. Is g(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -41, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 30*u + 129. Calculate the remainder when 19 is divided by i(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3 + 384*q + 276*q**2 - 663*q + 2*q**3 = 0. Calculate q.\nAnswer: -93, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m - 8. Give j(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 18 - (-2 + 5 + -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 p when three letters picked without replacement from {p: 2, a: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/4, -0.4283 in decreasing order.\nAnswer: 1, 3\/4, -0.4283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*b**2 + 4*b**3 - 413*b**2 + 25*b**3.\nAnswer: 29*b**3 + 88*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*i + 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u + 15 = 0. Let p = 7 + -2. Sort -5, u, p in descending order.\nAnswer: p, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9176 = 1066*m - 120*m - 4929 - 2923 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -671 - -671. Solve v = -a + 15 - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -118330, 0, 4, -27, -2 in ascending order.\nAnswer: -118330, -27, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10518 is divided by 112?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 10:07 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -139, -309, -547, -853, -1227?\nAnswer: -1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from yyd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161545, -322759, -483969, -645175, -806377, -967575, -1128769?\nAnswer: -1289959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95.7 + -95.53. Sort s, 2, 4\/3 in decreasing order.\nAnswer: 2, 4\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381160 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0 + 1 + b)*(-2 + 2*b + 4 - 1).\nAnswer: 2*b**2 + 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, e: 5, f: 5}. Give prob of sequence flle.\nAnswer: 5\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 98407895953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 7. Let k be j(11). Let w(o) be the first derivative of o**2 + 2*o - 1. Determine w(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f**2. Let t(g) = g + 1. Let o(b) = 35*b + 42. Let d(w) = o(w) - 42*t(w). Determine u(d(a)).\nAnswer: -245*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = -12*o - 1441. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - 42. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(20) + -2*sqrt(80) + sqrt(80) + sqrt(80))\/(5*(sqrt(10) - sqrt(10)*2) - sqrt(10)).\nAnswer: -4 - sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (6 + (1 - (-1 + 9))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-9\/7)*b)\/(b**(14\/5)*b)*b**5*b**25)**(3\/4) assuming b is positive.\nAnswer: b**(774\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*8 + (-1110)\/(-135)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-14)\/((-560)\/270))\/((-1)\/(-12)) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 24*s + 47*s - 6 - 12*s. Let k be u(-12). Solve 0 = 4*g - k*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**2*v**3*x - 9*p**2*v*w*x + 2*p**2*w*x**3 - 4*p*v**3*x - 6*p*w*x**3 + 2*v**3*x**3 wrt p?\nAnswer: 6*v**3*x - 18*v*w*x + 4*w*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0*v + 20. Let c = 0.0187 + 221.9813. Let j = c - 217. What is the nearest to -0.1 in 0, v, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - n - 1 + 0*n + 3*n - 2*n**3. Let j be (7 + -8)*(3 + -1). What is x(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2882405799 to five dps.\nAnswer: -0.28824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -18*h**4 + 5*h**3 + 16*h. Let b(u) = -27*u**4 + 7*u**3 + 24*u. Let p(l) = -5*b(l) + 7*t(l). Find the second derivative of p(n) wrt n.\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 757*x - 42.\nAnswer: -757*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k - 8. Let s(n) = -15*n + 141. Let f be s(9). Calculate v(f).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0853 - -0.2853. Which is the closest to -1? (a) -254 (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*l - 132 = 4*v, -213 = 5*v - l. List the prime factors of 3\/2*v\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bshhsbbshvvbbbsvssv. Give prob of picking 3 h.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 47. Let c be (-10)\/(-5)*3 + o. Let f be ((-4)\/5)\/((-32)\/400). Solve c*y = 7*y + f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-60)*-42)\/(2*7\/4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 5 (c) 4\/9 (d) 866 (e) 3 (f) -1\/2 (g) 1\/47\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3*a + 22, 5*a - 5 = -0*a. Suppose 5*k + 3*b = -5, 0 = 6*k - 3*k - b + 17. Let d = u + k. Are 5\/3 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23021822?\nAnswer: 2, 47, 53, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/(-18) + 0 + -1 and -79\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 11*x**2 - 2. Calculate g(10).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*p**2 + 65*p**2 - 12*p**3 + (-2 + 2 + p**2)*(-p - 5*p + 8*p) - 2*p**3 + 0*p**3 + 0*p**3 + (6 - 6 - 11*p)*(2*p**2 + 0*p**2 + 0*p**2).\nAnswer: -34*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.48 + 3.48. What is the closest to j in 0.3, -2\/139, 3, 4?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43462.88 to the nearest 100.\nAnswer: 43500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Let q(g) = -1 - g**3 - 4*g + g**d + 3*g - 5*g**3. Let t be q(-1). What is the greatest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iimmmhititihmqi. Give prob of sequence iimh.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (270\/(-24) - (-53 + 47))*(-84)\/(-9).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 5*f + 5*y = -55, -5*f + 31*y - 36*y = 50 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 109677125 a multiple of 1787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 105 = 3*s - 7*s - 25 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106.6 - -106.7. Which is the nearest to -3? (a) l (b) 3\/5 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18250 and 379125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -41.6 less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31629867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 198.999734 + -199. Round f to 5 decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 47.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {h: 4, y: 4, q: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 935 and 2587145.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -19, 708 in ascending order.\nAnswer: -66, -19, 708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**3\/3 - 53*q**2\/3 - 22*q + 216 = 0.\nAnswer: -4, 3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/30*-6)\/(3\/(-9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 927669 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 19*x - 19. What is j(19)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. Suppose -i*u - 44 + 224 = 0. Suppose -3*m + u = m. Calculate the greatest common factor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 94\/18 - (-8)\/(-36). Solve -p - 8 = -t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -3, 3\/29?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from qgqggqqcqgcqgqqvvg?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2850*s**2 + 47*s - 99. List the prime factors of t(2).\nAnswer: 5, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -19. What is the smallest common multiple of 3 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 6*y + 7. Let u be s(7). Let z(n) = 17*n + 11. Let o be z(1). What is the highest common factor of o and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -12*l**5 - 27*l**4 + 30*l**3 + 9*l**2 = 0.\nAnswer: -3, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 2*f + 204 = 0, -5*f + 7*f + 83 - 51 = -2*q - 66 for q.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 4*w + 7. Let n be j(5). Let t(f) = 6*f - 2*f + 0*f**n + 1 + 2*f - f**2. What is the tens digit of t(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-5 + 1)) + -2 - -1 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 + 4*w + 44 + 12*w - 83 as v*w + g and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-5))\/((-6)\/90). Let s(k) = 6*k + 8. Calculate the remainder when s(m) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/7 smaller than 3\/1096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/12 (b) 2\/19 (c) -3\/2 (d) -1\/7 (e) -40051\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2)\/f)\/f*f)**(-10))**28\/(((f*f*f**(-1))\/f**(5\/3))\/((f*(f*f**(-4)\/f)\/f*f)\/(f\/f**(2\/3)))) assuming f is positive.\nAnswer: f**(2512\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 1257 - 396. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-500)\/(-300)*(-6)\/(-60)*-36 + 11*2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -998, 3, 0.081, 6\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 10*p**2 - 15*p + 13. Suppose -73 = -4*z + 11. What is the remainder when x(7) is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 1. Let f be g(-2). Let n(j) = 9*j**2 - 2*j - 1 - j**3 + 11*j - f. Let o be n(8). Round o to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8603000 rounded to the nearest one hundred thousand?\nAnswer: -8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 173, 179, 187?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 10 = -j - 4*j, 0 = -5*h + 5*j - 50. Suppose -3*f = 59 - 32. Let k = f - h. Solve -b = 2 + k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 - (-7 + (-2 - -4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 11*c**2 - 17*c - 7. Let m be t(9). Suppose 0 = -10*z - m*z + 864. What is the lowest common multiple of z and 30?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 4*d**2 - 4*d. Let x be m(-3). Let y be -2 + 4 + -1 - x. What is the third smallest value in 3, 0, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f - 5. Let s(d) = -1768*d + 5. Calculate -c(g) - s(g).\nAnswer: 1763*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.344429801 to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 2*n**2 + 12 - 10 - 9*n. Let f be g(-9). Suppose i = -f*i + 78. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2915*w**2 - 2*w + 6. Let m(a) = -14575*a**2 - 11*a + 34. Determine 11*b(v) - 2*m(v).\nAnswer: -2915*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 323 in 0.038, -2\/9, 13.3?\nAnswer: 13.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 235 - -68445.\nAnswer: 68680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -384 or -105593\/275?\nAnswer: -105593\/275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27891 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0*l**3 + 0*l**4 + 0*l**6 + 0 - 1\/105*l**7 + 5*l**2 + 1\/20*l**5 + 0*l. Find the third derivative of f(u) wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 22*g + 18. Give t(-11).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 114308*m - 1633289858.\nAnswer: -2*(m + 28577)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2208711?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 1155 = -1157 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63720525.\nAnswer: 3, 5, 11, 77237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-3))\/q**(-5\/2)*q**(-1\/10)\/q**2)**(-37) assuming q is positive.\nAnswer: q**(296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 5. Let m(d) = -d - 1. Let j be m(-2). Let o be 1\/(-2) - j\/(2 - 4). What is b(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**3 + 982*o**2 + 46204*o - 433504 = 0.\nAnswer: -437, -62, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 34. Let r = 19 - p. Let t = 4 - r. What is the smallest value in 1\/5, 2, t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 (base 13) in base 5?\nAnswer: -2133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(2\/9))*f**(-6))\/(f**(-1)*f*f**(-1\/3)) assuming f is positive.\nAnswer: f**(-53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 6:48 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 3*v**4\/8 + 2*v**3\/3 + 11*v**2. What is the first derivative of y(t) wrt t?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from ytjjtjjjtjttjtjtyt.\nAnswer: 64\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11666 + 11665.9999991751. Round b to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 11 - 44)*(2*o - 2 + 2).\nAnswer: -96*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.81 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-48) - 5051283362\/(-11568). What is k rounded to the nearest one thousand?\nAnswer: 437000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -425.7.\nAnswer: -1702.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 8187*f**2 + 298416*f - 564060.\nAnswer: -3*(f - 34)*(f - 2)*(f + 2765)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/3)*t**(-4\/17)*t**(-13\/6)\/((t*t**(1\/24)\/t*t)\/t) assuming t is positive.\nAnswer: t**(-1133\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2312013881.\nAnswer: 643, 3595667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89 - 40. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -16*x + 47837 - 48179 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 278627 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 - 76. Let o(r) = 4*r - 7. Let p be o(18). Suppose -17*u + 22*u - p = 0. What is the greatest common divisor of f and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311283769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28977421?\nAnswer: 11, 89, 29599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/2165 - -21593\/41135. Let t = 21\/76 - s. Is t <= 1\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 - 2. Let c(d) = 12*d**3 + 54*d**2 - 12*d + 36. Give -c(m) - 18*o(m).\nAnswer: -12*m**3 + 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(((-3)\/9)\/((-8)\/(-48))). What are the prime factors of 575 - (-1 - p*3\/6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0833 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.0206 - 0.0206. Sort 3\/4, 3, 6\/11, h.\nAnswer: 6\/11, 3\/4, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*t - 3 = 0, -p - 4 = 4*t + 10. Let v be (564\/8)\/(1\/p). Suppose 0 = 4*f - 5*o + v, -f + 2*o = 96 + 12. Round f to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.384 - -2.384. Put d, 2.5, -3\/5, -2 in decreasing order.\nAnswer: 2.5, d, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, u: 5, x: 1, d: 2, b: 2}. Give prob of sequence uxdu.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -4. Let t = 7 + d. Let o = 3 - t. What is the closest to o in -0.2, -4, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 u when three letters picked without replacement from {u: 4, a: 10}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 12:39 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.197 + -0.497. Let j = -7 + 53. Let n be 134*(-1)\/j + 3. Which is the third smallest value? (a) n (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 4*h**2 - 7*h - 1. Give u(7).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12227320, 24454688, 36682056, 48909424?\n\"Answer: 12227368*p - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 29*k - 25. Let w = -45 - -32. Let n(p) = -15*p + 12. Let c(b) = w*n(b) - 6*h(b). Calculate the remainder when c(6) is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4259 + -4258.999997737. Round f to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)\/((-11)\/(-44)). Suppose 0 = 5*u - y - 265, -2*u - 6*y + r*y = -118. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 17*h - 2. Let x(b) = -156*b - 389. Calculate 9*i(n) + x(n).\nAnswer: -3*n - 407","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 857\/3 - 285. What is the nearest to -0.07 in 0.08, h, -2\/7?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11379, 24879, 38379, 51879, 65379?\nAnswer: 78879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -667\/6863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-58800)\/32)\/105\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 33995.5 years?\nAnswer: 33.9955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -9.3. Suppose -6 = 5*y - 1. Let g = -75899 + 75894. Sort g, y, -10\/3, p.\nAnswer: g, -10\/3, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from jrvrrrrtvjvttjvj.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/37 and 97\/354.\nAnswer: 13098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, 23, 68, 151, 284?\n\"Answer: 2*p**3 + p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (98\/(-60) + 196\/84)*24\/14. Find f, given that -23\/5*f + l + 7\/5*f**2 = 0.\nAnswer: 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*h**4 + 43898*h**3 - 26196531*h**2.\nAnswer: -504*h + 263388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.1 - 3. Let v = x + -0.08. Let o be 6*(-4)\/50*(-1)\/(128\/160). Which is the third smallest value? (a) o (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/6))**22\/(o*o**(3\/2)*o\/(o**(2\/15)\/o)))**(4\/7) assuming o is positive.\nAnswer: o**(426\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 = -4*a - s, -a - 27 = 5*s. Let f be -2 + 3 + (a - -5). Solve 0 = 2*g + 4*i - 6, 5*g = f*i - 5 - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/63 + -71\/252. Which is greater: v or -0.33?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 16 + 43 + -40.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103627 (base 8) in base 10?\nAnswer: 558999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 6*u = -70. Let x = -154661\/4440 + 1\/4440. Let z = u + x. Find the common denominator of z and -37\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-3)\/(-51))\/((-6)\/12)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 + 4 + 70 - 41 - 6*q + 39 to a*q + f and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9088409077*x - 10*x**3 - 9088409077*x.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n = 0. Suppose -3*z = 6 - n, -5*z = 5*f - 55. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/2 greater than -46074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(7) + sqrt(112)*2 + 3 + -6*(sqrt(112) + sqrt(7)))**2.\nAnswer: -126*sqrt(7) + 3099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 605387 + 0.087.\nAnswer: 605387.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368031*v + 368656*v - 736102*v.\nAnswer: 585*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 6*n**2 + 6*n + 7. Let t be x(-5). Put -4, 1, t in increasing order.\nAnswer: -4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -236*f - 1047*f - 272*f + 37320 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1079725 - 7558072\/7. Factor -15\/7*w**2 + 12\/7*w + z*w**3 + 0.\nAnswer: 3*w*(w - 4)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-28)\/80)\/(11963\/(-30762)).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 4*h**2 - 3*h + 1. Let x(c) be the third derivative of -c**5\/60 + c**4\/24 - 4*c**2. Let t = -164 + 162. What is t*m(o) - 6*x(o)?\nAnswer: -2*o**3 - 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l**3 + 38*l**2 - 2*l - 73. Give m(9).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*c - c**2 + 0 - 1 + 29*c - 11*c to the form g*c**2 + q*c + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -201076274 and -10.37?\nAnswer: 201076263.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*(r**(-1)\/r)\/r*r*r))\/r)\/(r*r**(-7))*(r**0)**(-45)*(r**2*r\/(r**(3\/4)\/r))\/(r*r**(-5\/4)*r**(-4)\/r*r*r) assuming r is positive.\nAnswer: r**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4848 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 4*m + 4. Let w(f) = -3*f**2 + 5*f + 5. Let r(b) = 5*s(b) - 4*w(b). Let x = 7 - 4. Let t(u) = 4*u - u - 3 + x. Calculate t(r(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-245)\/28 - (-5)\/(-20)) + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 0) + (-8)\/1. Let m = -24 + 20. Put -2, m, d in ascending order.\nAnswer: d, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*x**3 + 39*x**3 - 15*x**3.\nAnswer: 82*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (35 - 15) + -1 + -1. Let u be 27\/(-12) + (-2)\/(-8). Let m(f) = f. Let a(s) = -2 + 10*s + 2. Determine n*m(t) + u*a(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -1.10000001. What is k rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3456.89 to the nearest 10.\nAnswer: -3460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.36195 to two dps.\nAnswer: 11.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*t**4 + 19*t**3 - 19*t**3)*(-2 + 0 + 1)*(5 - 3 + 0).\nAnswer: -48*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*r = -42*r - 3*a - 13, 38 = -8*r + 2*a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w**5 + 32*w**4 - 36*w**3 - 68*w**2 + 4*w - 8. Let b(m) = m**5 + m**4 + m**3 - m**2 + m - 2. Let x(n) = 4*b(n) - j(n). Suppose x(q) = 0. What is q?\nAnswer: -8, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 10 = -2*i. Calculate the smallest common multiple of i and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*c + 170. Solve n = -z + 7, 5*z = -4*n - 3 + c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/10*(-4 - 65\/(-10)). Suppose t - 2*f - 12 = -t, -f + 4 = q*t. What is the third derivative of 8*x**5 + 2*x**t - 2*x**2 + 4*x**2 wrt x?\nAnswer: 480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 400\/12*30*1965. Round l to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 8*n - 4. Suppose 0 = -n*c + 50 + 274. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1856*4\nAnswer: 0.7424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (1 - (7 + -5)*-2)) + 88483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*(-5 + (-4 + sqrt(300))**2 + 1).\nAnswer: -1248 + 320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*b**4 + b**3 - 920659*b + 5239745 wrt b?\nAnswer: -16*b**3 + 3*b**2 - 920659","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -1011121022?\nAnswer: 1011121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -155 - -158. Solve -l*x = -4*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (294\/(-144))\/((-6)\/(-4)). Let z = v - -10\/9. Let c be (-9)\/(-5) - 1\/1. Sort z, c, 4 in ascending order.\nAnswer: z, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 183 = -n, -4*n + 0*n - 5*d = -647. Calculate the greatest common factor of 21 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -3846143?\nAnswer: 3846148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.2 (c) 5 (d) 365115 (e) 0 (f) -3 (g) 48\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, o: 3}. What is prob of sequence zz?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 24 = -6*c. Suppose 8*x = 5*x + 2*v + 86285, -3*x = c*v - 86281. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -t + 12, 0 = -3*t + 2*s - 188 + 223 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7316328*u**2. Let n(k) = -2*k**2. What is n(o(h))?\nAnswer: -107057310807168*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*t + 2. Let z = 16644389 + -11044379. Suppose -t*d - 5599998 = -w, 0 = -2*d - 5*w - 0*w - z. Round d to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let y be t(-4). Suppose 0 = -3*c + 2*f + 12, -4*c - 2 = -f - 13. Calculate the remainder when 21 is divided by (-45)\/y + c\/(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84263 is divided by 84223?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4912, -4911, -4914, -4921, -4932?\n\"Answer: -2*z**2 + 7*z - 4917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-8 - 8\/(-2)) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 6, 2\/9, 0.29?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/3 + 20*s**3\/3 - 52*s**2\/3 - 160*s - 192.\nAnswer: -(s - 12)**2*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -82. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**3 - q**2 + 5*q - 3. Let z be v(1). Let d(x) = -8*x + 51. Let p be d(z). Calculate the greatest common factor of 9 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnndbup. Give prob of picking 2 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 3) + ((-30)\/(-4))\/(2\/(-4))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.59 - 8.41. Which is the nearest to 1\/4? (a) q (b) 3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*m + 6 - 1\/6*m**4 - 1\/3*m**3 + 35\/6*m**2.\nAnswer: -(m - 6)*(m + 1)**2*(m + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/(n\/(n\/n**7))*n))\/n)\/n*n**(1\/4)\/n)**(-3\/29) assuming n is positive.\nAnswer: n**(-27\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -122, 65, -137, 0.\nAnswer: -137, -122, 0, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 207\/2? (a) -17\/2 (b) -0.3 (c) -1\/10 (d) 94\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 663.713999 - 526.7140104. Let t = 137 - s. Round t to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 5*s**8\/336 + s**7\/168 - 2*s**6\/45 + s**5\/30 - s**3 - 6. Let z(i) be the third derivative of g(i). Solve z(k) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*w - 2 = 59*w. Suppose 0 = -4*q + 4 + 4. Solve w*s + q*s + 16 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98896 less than or equal to -98894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(0*s**5 - s**5 + 2*s**5) + 5*s**5 - 4*s**5 + s**5 + (-2*s**4 + s**4 + 3*s**4)*(35 - 35 + 5*s).\nAnswer: 11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -53\/2*d**2 + 0*d**3 - 31*d + 68 + 1\/4*d**4. Find the first derivative of c(k) wrt k.\nAnswer: 3*k**2 - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 21 = m. Let a be (-14)\/m - (-30)\/(-9). Let t be -1*(-3 - a)*4\/(-34). Sort 2.9, t, -4 in descending order.\nAnswer: 2.9, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 + -80. Suppose -h*q + 2*q + 7 = -r, 14 = 2*r - q. What is the greatest common factor of 144 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/(p**5\/p))**(-3\/25) assuming p is positive.\nAnswer: p**(21\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -82581000 to the nearest 1000000.\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/13)\/y)\/y)\/y**(-3\/11) assuming y is positive.\nAnswer: y**(-203\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/12*(-36)\/12*-13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 8) in base 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 2*z - 1. Let x(w) = -2*w**2 + 3*w + 1. What is 3*b(c) + 2*x(c)?\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37, 147, 335, 601, 945, 1367, 1867?\n\"Answer: 39*i**2 - 7*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 6 = -24. Which is smaller: 6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21213220 (base 4) to base 6.\nAnswer: 502224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r + 155338 = -77090. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 124634 and -0.02.\nAnswer: -2492.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 30 = -14*q. Calculate the lowest common multiple of 760 and q.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5474635 - 0.452539. Let y = 7 - 6. Let u = k + y. What is u rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 249\/83*-1*3\/9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -277, -1063, -2359, -4165, -6481, -9307, -12643?\n\"Answer: -255*w**2 - 21*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 19. Which is the biggest value? (a) z (b) 1\/9 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frufrfrmete. Give prob of sequence ft.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 14*y + 1. Let d be j(-5). Let n = 146 + d. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4090127 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/27)\/(20\/30).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*z**2 + 74 - 74 + (-2 - 1 + 2)*(4*z**2 + 3*z**2 + z**2).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - -3) + (-3 - -5). Suppose 4*z = -5*m + 135, q = 5*m + z - 107. Find the first derivative of -m*o**3 - 31 - 4*o**2 + 2*o**2 + 2*o**2 wrt o.\nAnswer: -69*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 3*c + 3*c)*(-3 + 4 + 0)*(28 - 22 - 12).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 4*l + 164. Give u(14).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-10) - -2)*5. Let y be j + 5 + -2 + -1. Let k = 15 + -11. Solve k*o = 2*o + y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249641 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824 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: Simplify (2 + 3*sqrt(51)\/sqrt(3)*-5 + -2*sqrt(51)\/sqrt(3)*2)**2.\nAnswer: -76*sqrt(17) + 6141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7779 - -5.\nAnswer: -7774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -78757, -0.2 in decreasing order.\nAnswer: 1\/4, -0.2, -78757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250)*-6)\/(-2*sqrt(5)*-3) + 0)**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17980 + 17977.25. Which is greater: o or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 0 (c) 3 (d) 5 (e) -38 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -374621 by -13.\nAnswer: 28817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6883587983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 7*z**2 + 11*z - 31. Let u be o(7). Is 45 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-10))**29 assuming r is positive.\nAnswer: r**(-290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -414.0817 - -0.0817. Let f = n + 420.655. Round f to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/209*((-6)\/(-3))\/((-1)\/(-1)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(180) + 3 + -5 + (2*sqrt(15)\/sqrt(3))**2.\nAnswer: 18 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 794378 divided by -31?\nAnswer: -794378\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 11. Let i be 42\/q*(-36 + 6). Let z be (i\/6)\/(23\/(-69)). Is z less than or equal to -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15814 is divided by 2085?\nAnswer: 1219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**2 - 70*z + 803. What is b(7)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 10*l**2 + l - 2. Let r(t) = -2*t**3 - 2*t**2 + 2*t - 1. Let f be r(1). Is g(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 w when four letters picked without replacement from wxxxwwx?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 2.924?\nAnswer: 46.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83767 + -0.3.\nAnswer: -83767.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -936.77474 to 1 decimal place.\nAnswer: -936.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s - 355. Determine n(-34).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 2*t**2 + t + 1. Let u(x) = x - 15 + 18257*x**3 - 18258*x**3 + 16. Give s(p) - u(p).\nAnswer: 2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4454, 8947, 13428, 17897?\n\"Answer: -6*b**2 + 4511*b - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from aururaurarrdrrd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + 154. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4722200*h - 13. Let v be t(-8). Suppose 0*w = 3*w - v. Let c = w - -8307471. What is c rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1.6, 3, -1\/87, 1, 0.5 in ascending order.\nAnswer: -1.6, -1\/87, 0.4, 0.5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 4:21 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 43 - -9) + (-25 - -22) + (6 - 3).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895 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: What is the fifth biggest value in -6577, 0.3, 4, -3\/2, -0.5?\nAnswer: -6577","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**5\/5 - 9*r**4\/5 - 18*r**3\/5 + 84*r**2\/5 - 72*r\/5 = 0. What is r?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -184 (base 16) to base 7.\nAnswer: -1063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*c)**22*(c\/c**(-1))**25 assuming c is positive.\nAnswer: c**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + 4*(2*(sqrt(2736) + sqrt(2736)*4 + sqrt(2736))*4 + 0)*-1)**2.\nAnswer: 55296*sqrt(19) + 403439652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.7 - 0.3. Which is the closest to -0.08? (a) p (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 11766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*t**2 - 21*t + 29*t + 4*t.\nAnswer: -128*t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 3) to base 2.\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -136, -558, -1262, -2248, -3516?\n\"Answer: -141*i**2 + i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3 - -4)\/(1\/2))\/2. Suppose v = -13 + d. Let u be ((-6)\/v)\/((-2)\/(-4)) - -1. Solve 0 = -4*r + j - 2 - 8, 4*r + u*j + 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67910*r + 67907*r - 10*r**5 - 176*r**3 + 3*r**5 + 1789 wrt r?\nAnswer: -140*r**3 - 1056*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*x + 5*b + 20 = 356*x, 0 = x - 3*b - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35056, -35057, -35058, -35059, -35060, -35061?\nAnswer: -35062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/2*(-10)\/20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101 (base 2) in base 13?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4\/4 + 72*n**3 - 141*n**2\/2 - 72*n + 285\/4 = 0 for n.\nAnswer: -1, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 212\/689*(-455)\/(-30).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 9812330?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 9 = 4*c - 3*q, -4*q - 4 = 0. Solve 3*w + 5*f + 2 = 4*w, 2*w + 4 = c*f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*l + 40. Suppose 3 = l*o - 4*g, o - 2*g + 21 = 6*o. What is the lowest common multiple of 2 - ((-21)\/o - -2) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(34\/255)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 16 + 8. Let m = 24 - 22. Suppose 3*t - 12 = -c - 0*t, -10 = -m*c + t. What is the lowest common multiple of f and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5993 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25885, -51894, -77961, -104092, -130293, -156570?\nAnswer: -182929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10385 + 3*z - 2*z + 10137 to the form u + q*z and give u.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r. Let s be -4*3\/(-2 + -1). Let h(m) = m**3 - 7*m**2 + 14*m - 37. Let i be h(6). Let y(z) = z. Determine i*y(a) + s*d(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-758 + 1099 + 4675)*(-6 + 6 + 5*g) as l + s*g and give s.\nAnswer: 25080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**31*s\/(s\/((s\/(s\/s**(-1)))\/s))*s*s**4)\/((s\/((s*s**(-1))\/s*s))**(-36)\/(s**2*s**(-3\/8))) assuming s is positive.\nAnswer: s**(573\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5\/5 - 2*b**4\/5 + 1457*b**3 - 21362*b**2 + 266136*b\/5 + 1017792\/5 = 0.\nAnswer: -93, -2, 8, 9, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.094, 4, 32, -0.15, -0.5 in increasing order.\nAnswer: -0.5, -0.15, -0.094, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 874518328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 45*w**2 + 437*w + 664. Give d(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuqmqszqzsszszmqusq. Give prob of sequence zz.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 135, 133, 131, 129, 127?\n\"Answer: -2*d + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 211403 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -3 - -2) + -1. Let t = c + 3. Let a be 1\/(t\/9*3). Solve -a*y = o, -3*o + o = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - s)*(21 + 45 - 1).\nAnswer: -65*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 977188892902 and -2.\nAnswer: 977188892900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 36351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 45888158 + 3973*k - 45888158 - 9873*k as a + y*k and give y.\nAnswer: -5900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/205 and (-54)\/90 - 5131\/(-210).\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15995 divided by 2285?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1234620 and -19\/18.\nAnswer: 1234620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2. Let z be 781\/(-132) + 6\/1. Let f(c) be the third derivative of 2*c**2 + 0*c**4 + 0*c**3 + z*c**5 + 0 + 0*c. Calculate f(v(a)).\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 - (10 - 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 525022 - 237422. Let g = u - -222400. Round g to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-1*2 - 6\/(-12)). Suppose -4*a - 15 = -y - a, 0 = r*y + a - 2. Solve -5*i = d - 21, -7*d + 16 = y*i - 3*d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 312528637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, q: 9}. What is prob of sequence qq?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 13) to base 5\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 12, 2, -8?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15960 divided by 1596?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 3*o - 5*f, -2*o = 5*f - 21 - 26. Suppose 0 = p + o - 5. Let r = p - -98. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + 3*t)*(26*t + 2 + 6*t**2 - 26*t).\nAnswer: 18*t**3 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(19)*-3*6*2 + -1 - (3*(sqrt(1900) + 2 + -4))**2).\nAnswer: -17133 + 324*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/6))**39\/(a**(3\/11)\/a**(-3\/13)) assuming a is positive.\nAnswer: a**(-9439\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 64 + 2. Suppose l + b = 3*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 t when four letters picked without replacement from {r: 3, t: 5, q: 1, b: 3}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqn. Give prob of picking 1 n and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 12*a + 3. Let j(f) = 3*f + 1. Let k(p) = -g(p) + 2*j(p). What is k(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4 - 5*h**3 - 2.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 4*c**2 - 3*c - 11. What is y(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -78*z**2 - 96*z**2 + 173*z**2. Let s(q) = 2*q - 34. Calculate s(v(r)).\nAnswer: -2*r**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -1, -2, 11 in ascending order.\nAnswer: -8, -2, -1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -w + 496 - 1308, -5*m - 3*w = -2030. Let i = -274 + m. Let j = -36 + i. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 19 = 3*o. Suppose o - 5 = 5*a. What is the least common multiple of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -17019, -2, -3, 4, -3\/7, -5\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, 4, -2\/3, -5, -15.3, 0.09?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -808*z**3\/3 + 480*z**2 - 1147. Find the second derivative of a(g) wrt g.\nAnswer: -1616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -497, -2 in increasing order.\nAnswer: -497, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-46) - ((-2)\/(-2))\/(37283\/(-257739))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (952\/(-54))\/(3 + 29845\/(-165)). Let f = 6\/587 - j. Is f at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 21685400.\nAnswer: -1\/1084270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 + 14*d + 19. What is the remainder when 196 is divided by o(-9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 4:07 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Let z(s) be the second derivative of 49*s**3\/2 + 111*s. Give z(v(f)).\nAnswer: 147*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 15*j**2 - 13*j + 16. Let z = 91 - 105. Let k be y(z). Solve 3*b = k*w + 1, -b = b - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**4\/3 + 5*r**3\/6 - 2*r. Suppose 12*u = 14*u + 20. Let l(m) = -m**2 - m. Let t be (-1)\/1 + (-2 - -1). Give t*v(o) + u*l(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5022349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 70.37967ng?\nAnswer: 0.00000000000007037967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.0515.\nAnswer: -0.103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13590, -13588, -13586, -13584, -13582, -13580?\nAnswer: -13578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -58 + 80 - -29.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - 13*w + 23. Let k be n(9). Let y be 36 - (0 - (-3 - -2)). Let d = k - y. What is the highest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-60)\/(-50)*-10 - -133079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1118099339?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (63*x + 1472 - 1472)*(23*x**2 - 23*x**2 + 23*x**3) in the form y + h*x**3 + q*x**2 + o*x + b*x**4 and give b.\nAnswer: 1449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxxs when four letters picked without replacement from {s: 1, m: 1, j: 3, z: 4, x: 4, t: 1}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -32, -1\/6, 5, -1\/2, -8.3, 1\/3, 9?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 46\/5, -24\/11, -316, -4 in descending order.\nAnswer: 46\/5, -24\/11, -4, -5, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**3\/7 - 5124*s**2 - 93229*s\/7 - 43026\/7 = 0. What is s?\nAnswer: -7171, -2, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Let h = 14 + -9. What is the second smallest value in h, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 441669*m**3*t**2 + 20*m**3 - 2*m**2 - 48*m*t - m + 4 wrt t?\nAnswer: 883338*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 8:24 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 5423617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 33108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**4*d*u - 15*b**4*u - 73*b**3*d + b**2*d*u + 97*b*d*u wrt b?\nAnswer: -24*b*d*u - 360*b*u - 438*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = -3*l + 5, -5*j = 4*l - 22. Let r(w) = 2*w**j - 21*w - w**2 + 14*w. Let z(u) = 3*u. Suppose -2*n + 19 = 5. What is n*z(d) + 3*r(d)?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -10*p**2 - 52*p - 7. Let h be g(-5). Suppose y - 2*j = h*j + 22, 4*y - j - 31 = 0. Let x(u) = 5*u - 3. What is x(y)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -116*(51\/28 - 3). Let n = -137 + y. Let h = 124 - 865\/7. Which is the biggest value? (a) h (b) -1\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1084431 or -1084579?\nAnswer: -1084579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.74 + 0.26. Let m be (1\/12)\/((-3)\/(-8)). Let j = 2.8 - 3. Which is the nearest to r? (a) m (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-150)\/114 - (2 + -1). Let j = -287\/114 + i. Find the common denominator of 31*(9\/(-42))\/(-3) and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5\/2, 4, -56346?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2)**(1\/2))**(1\/27)*(y**5\/y**(2\/9))\/((y*y*y**(-3\/7))\/(y\/((y**(-1)\/y)\/y)*y)) assuming y is positive.\nAnswer: y**(1558\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**0\/b)*b*b\/(b*b**(-1)*b*b*b))**44*(b**0\/b)**(-4\/15)*b**(-1\/3)\/(b*b**(-3)) assuming b is positive.\nAnswer: b**(1349\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54090 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (sqrt(13) + 2)**2 + -5)*2 - (-2 + 1*sqrt(13) - -2*(sqrt(13) - sqrt(52)\/sqrt(4)))) + 1.\nAnswer: 27 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3097639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 601 a factor of 13433552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 9. Let a be g(-3). Suppose -2*y - y + 1623 = a. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 51496168 - 167496168. What is f rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 6*n + 7. Let j be s(13). Let y = j + 236. Which is the fourth biggest value? (a) 21 (b) 3 (c) y (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 2 + 21)*(-15*i**3 + 3*i**4 + 15*i**3) to j*i**3 + r + w*i**2 + o*i + x*i**4 and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/591? (a) -3 (b) -1 (c) 0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f + 10. Suppose -44*o + 44 = -55*o. Sort f, 1, -2, o.\nAnswer: o, -2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*s = 44, -2*g - 30 = 3*g + 5*s. Let i be 0\/3 - (-1 - -1). Calculate the remainder when 11 is divided by g\/10*(-5 + i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 876022072 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*s**5 + 9652*s**4 + 28*s**2 - 1045 wrt s?\nAnswer: 540*s**2 + 231648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, b: 1, x: 1, h: 6, c: 2, q: 1}. Give prob of sequence hci.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1286755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88187639*l**3 + 4 + l - 4 - 88187619*l**3.\nAnswer: 20*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.056 * 0.43901.\nAnswer: 0.02458456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*s**2 - 26*s**2 - 23*s**2)*(2*s**2 - s**2 + 0*s**2).\nAnswer: -23*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - r**2 - 6*r + 5. Suppose 0*h + 153 = 9*h. Suppose -4*q + 3*p + h = 0, -2*q = q - 2*p - 13. Calculate the remainder when n(q) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124586 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s. Let p(g) be the first derivative of -21*g + 2*g**2 + 228 - 509 + 93. Calculate w(p(i)).\nAnswer: 4*i - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + m = 162, -7*m = -2*o - 3*m + 72. Suppose -5*v + v = -16. Suppose -n + o = v*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2879, 5852, 8907, 12050, 15287, 18624, 22067, 25622?\nAnswer: 29295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 + 85. Determine k so that -1\/4*k + 1\/2*k**4 - 3\/4*k**2 + 1\/4 + 1\/4*k**j = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5)*b)**27\/(b**(-6)*b*b**3\/b))\/((b**(-4)*b**(-3\/4))\/(b**(-2\/11)*(b**(-1\/3)*b)\/b)) assuming b is positive.\nAnswer: b**(15467\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 5:56 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001051 to five decimal places.\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1017891201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41764, -78646, -115528, -152410?\n\"Answer: -36882*w - 4882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20085 by -20085.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 80*m**3 + 35*m**2 + 45. Let t(g) = -g**3 + 4 + 5*g**2 + 1 + 10*g**3 - g**2. Let x(s) = -4*d(s) + 35*t(s). What is the derivative of x(k) wrt k?\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 14*y. Let r(w) = 14378*w - 8. Give r(q(n)).\nAnswer: 201292*n - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 5, a: 1, l: 2, e: 1}. What is prob of sequence llas?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*n - 5*y = 500*n + 6, 0 = n + 2*y + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 455*j + 1900.\nAnswer: -5*(j - 4)*(j + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184027580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 1\/3, -0.01, -55, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 l when three letters picked without replacement from lqlqlqqlllqllqllll?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u - 12 = -34*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + z + 18. Let h be -1*(z\/2 + 1). Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67155 divided by -13431\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -642466 - -919755. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 7*o - 10. Let m be h(2). Find r such that -9\/4*r**5 - 103\/4*r**3 + 89\/4*r**2 - m*r + 51\/4*r**4 + 1 = 0.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*t + 2*y - 3, -8 = t - y. Let p be 3\/1 - (t + 2 + 3). Is (116*(-10)\/(-4))\/p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 488*q - 1467. What is s(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 26*h**2 - 22*h + 1758. Let f(t) = -21*t**2 + 18*t - 1407. Calculate -11*f(q) - 9*s(q).\nAnswer: -3*q**2 - 345","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 80 = -35 + 40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*((p\/p**1)\/p)\/p)**(-16)*((p\/p**0)\/p)**(-37)*(p\/(p*p\/(p*p**(-4\/3)*p)*p*p*p*p)*p*p**(-1\/2))**(-9\/10) assuming p is positive.\nAnswer: p**(389\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/21 (b) 50 (c) -0.3 (d) 3 (e) -5 (f) 178 (g) -1\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -307063 - -1077063. What is r rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20324.591 rounded to the nearest ten?\nAnswer: -20320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11993 is divided by 1712.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -484.2 + 484. What is the closest to y in -2\/7, 0.3, 2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-184)\/10 - -4) + (-24)\/40\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 28*x - 571. Calculate i(28).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 548297113 to the power of 1\/3, to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(5\/3))**41)**(-34) assuming w is positive.\nAnswer: w**(2788\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421 = -i - 415 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (189\/(-36))\/(9\/(-1536)). Is -2 - (-6 - -11 - v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(2*sqrt(10)) - sqrt(252)\/sqrt(4).\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -47\/17080?\nAnswer: -47\/17080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -99, -93, -81?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 0 - 0) + ((-72114)\/(-1666))\/(408\/(-56)).\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 + 2*l + 1. Let j be (-2)\/3*36\/(-8). Suppose v - 15 = 4*d, -j*d - 16 = v - 3. Give p(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5567*j - 5407*j + 800 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 9*q - 8. Let y be m(-10). Solve 0 = y*s + o - 1, s + 2*o - 2 = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 98*t + 12 = -103*t, 4*z + t = -16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*d = -591*d + 91 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(108)\/(sqrt(27)\/sqrt(3))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*o - 27108 - 25720 = 0, -o - 1 = 0. List the prime factors of i.\nAnswer: 2, 3, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2447.\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, o: 3, a: 2, v: 1, d: 1, m: 3}. Give prob of picking 3 o and 1 m.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8450 + -1360454\/161. Is 1 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31639178 * 4.\nAnswer: 126556712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -3301 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 213*t - 3860.\nAnswer: -(t - 193)*(t - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + q**2 - q + 79. Is l(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -155*a + 3200. Determine t(21).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 695803774, 695803772, 695803770, 695803768, 695803766?\nAnswer: 695803764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 16*d - 4. Let h be t(21). Let j(m) = 106*m - h*m + m**2 + 2 + 2 - 1. Determine j(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002789 rounded to 6 dps?\nAnswer: 0.000279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*-1*((sqrt(240) - -1*sqrt(240))\/sqrt(10) - sqrt(24))\/(-1*sqrt(8)*1).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -36537, 1.4.\nAnswer: -36537, -4, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1182, -4672, -10498, -18672, -29206?\nAnswer: -42112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 18 - (-13098)\/666?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50604?\nAnswer: 2, 3, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-2)\/(-4)*(-4)\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 9*n - 9. Suppose 0 = 4*v + 18 + 6. Let m be b(v). What is the common denominator of -5\/18 and m\/72 - 179\/(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003180881 to 6 dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -521, 2, 0, 197 in increasing order.\nAnswer: -521, -2, 0, 2, 4, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/3 and 91\/1782.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-6\/13)\/c*c)**45\/(c\/(c\/(c*c**(1\/14))*c)*c\/(c*(c\/((c**0\/c*c)\/c))\/c*c)) assuming c is positive.\nAnswer: c**(4761\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/15 + 104\/110 + (-93)\/2046. Put 10, -2\/7, o, -0.3 in descending order.\nAnswer: 10, o, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-15)*z**(-25) assuming z is positive.\nAnswer: z**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 17*u + 72. Determine z(-16).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -7\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1116*o + 929*o = 67485 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*d - 229295 = -225533 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16984)\/(-579)*9\/258 + -1.\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 3*d**2 + 0*d**2 - 33*d**3.\nAnswer: -33*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 44 = 9. Let q be 37\/y + (-4)\/14. What is the first derivative of q + 3*d**3 - 3 + 1 wrt d?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321533 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000173 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167641?\nAnswer: 23, 50767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/2243 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 3*c - 22. Let r be x(16). Find the third derivative of 32*h**4 - 287 - 2*h**3 - r - 3*h**2 + 843 - 290 wrt h.\nAnswer: 768*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 9*r - 2*r)*(1 - 2 + 4)*(2 + 3*r**2 - 2) - r**3 + 0*r**3 + 3*r**3 in the form a*r**2 + b*r**3 + m + z*r and give b.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4851 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3136077686?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(48\/10)*178\/50 and -167\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g - 2*g + 3*g. Let y(n) be the third derivative of 0*n**3 + 0 + 0*n**4 - 1\/20*n**5 - 25*n**2 + 0*n. Determine k(y(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163 + 163 + 3*x + 1172*x**2 + x.\nAnswer: 1172*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261 + 260 - f - 182*f**3 + f.\nAnswer: -182*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-6)*150\/4. Suppose 0 = -h*o + 97*o + 12. Solve 0 = -o*w - 12 - 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747*i + 528 + 305 = 2*h, -5*i = -h + 38 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1754, -7, -8 in decreasing order.\nAnswer: -7, -8, -1754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4183, 0, 4, 38 in decreasing order.\nAnswer: 4183, 38, 4, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -j - 13, -5*j = 5*g - 0*j - 35. Suppose 0 = g*c - 345 - 645. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ycogoyygcy. Give prob of picking 2 g and 1 c.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + n**2 - 3*n - 10. Let s be f(4). Let o = 5 - -14. Let i = s - o. Calculate the greatest common divisor of 26 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -140.11\nAnswer: -1401.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (-3*(sqrt(2299) + (sqrt(2299) + 1)*5) - (2*sqrt(2299) + -4)*-3))*-2 + 1)**2.\nAnswer: 32208*sqrt(19) + 1327945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-2*6)\/(4*sqrt(96)) + 3 + sqrt(11) + 1 + -2 + sqrt(33)\/sqrt(3)*-4)*1*-5.\nAnswer: -10 + 75*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 576777 (base 15) to base 7\nAnswer: 50320504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.28 + 507.72. Let v = -932 + w. Let p = v + 418.999101. Round p to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20204703031066 and -8?\nAnswer: 20204703031074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -24. Let i = -2.18 - u. Let t = -0.18013 - i. What is t rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26*240\/(-1248)*(-64)\/(-10)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5473 divided by -13.\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c = 3*v - 6, -10 = c + 5*v. Let k = -16184 + 16213. Is c less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -abbb + -5?\nAnswer: -b004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2dd1a0 (base 15) to base 6\nAnswer: -115334553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3452 + -0.3152. Let f = -6 + 5.6. What is the nearest to o in f, 2\/9, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 196*n - 193*n - 4*t, 3*t + 5 = n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**4 - 24*c**3 - 24*c**2 + 288*c + 432 = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*f = 56, -12*k + 11*k + f = -33. Calculate the remainder when 1173 is divided by k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-12)*((-1544)\/(-86) - 34\/(-731))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 18 = 2. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = u - 7. Suppose 2*i - a = u, 6*i - i = -5*a. Solve 8 = -i*s + 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1826*d**2. Let h(a) = 2*a**2. What is h(w(i))?\nAnswer: 6668552*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.6 + -15. Let l = k - 1.6. What is the third biggest value in l, -3, -3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by (-5)\/(-30) + 236\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -6*b. Let z(k) = -k**2 + k + 9. Calculate z(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y. Suppose -3*b + 10 = -m, -2*m + 12*b - 13*b + 8 = 0. Let h(d) = 62*d**2 - 23*d**m + 51*d**2. What is s(h(q))?\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0 - 2. Let w be ((-44)\/(-7) - 6) + (-23)\/7. Let l be (-1)\/(-4) + (-77)\/(-28). Put q, w, 1, l in descending order.\nAnswer: l, 1, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67811, -5, 3, -6.\nAnswer: -67811, -6, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*(-1 + sqrt(200) + -1 + -5 + -1)*2*-6)**2*1.\nAnswer: -829440*sqrt(2) + 1368576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c = 0. Let h be (0 - c)\/(-4 + 5). Suppose h = 3*y - 7 - 8. Solve -2*a - y = -3*t + 7, 4*t - 14 = 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 433742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24918947 and 0.11.\nAnswer: 2741084.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147 + -147. Let y(w) be the second derivative of 0*w**2 + h*w**5 + 0 + 0*w**4 + 1\/2*w**3 - 1\/15*w**6 - w. Find the second derivative of y(o) wrt o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138.723 + -5.237. Let x = -0.04 + f. Let w = x + 144.0000143. Round w to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 414 divide 39943962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + n - 20 = 0, -5*z - 5 - 28 = -2*n. Which is smaller: -62\/9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19408 + -19403. Solve 4*d = x*q - 17, -d - 14 = -3*q - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-207)\/33 - -2 - 20\/(-5). Let o = -0.05 + -2.95. Which is the smallest value? (a) o (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242350336 to the nearest integer?\nAnswer: 15568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*o + 21, 0 = 3*c - 2*c + 3. Suppose -j + o = -0. Let b(x) = -x**2 + 6*x - 4. What is the units digit of b(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 12 in decreasing order.\nAnswer: 12, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-14) + 28 + (-1524)\/56. Let w be (1 + 5\/(-7))*-1. Which is the closest to u? (a) w (b) -4\/9 (c) -14\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 163.2 - 163.1. Let f = 1 + -1.2. Let b = -0.94 - 0.06. What is the closest to 0.4 in f, b, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218 divided by 30\nAnswer: 109\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6877 = 3*g + 2*c, 0*c + 2*c + 4578 = 2*g. What are the prime factors of g?\nAnswer: 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-624)\/(-6)*(-121)\/968?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 4*w = -7*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*g + 96*g = 227*g - 587822. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 2. Let n(h) = -3*h + 3*h - 4*h + 3*h. Let g(x) = -3*n(x) + p(x). Is 25 a factor of g(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1949?\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -182 - -191 - (-4*1)\/(-2). Solve -5*w + 4*t + 17 = d*t, 4*w - 5*t = 21 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(6)\/sqrt(2)*1.\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1862) - (((sqrt(1862)*3 - sqrt(1862))*6 - sqrt(1862)) + sqrt(1862)))\/(sqrt(98) + sqrt(98) + 4*sqrt(98)*-2 - sqrt(98)).\nAnswer: 11*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65954 and 170942.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 15*t - 52. Let m be r(8). Suppose 5*j = d + d + 265, m*j + 4*d - 240 = 0. What is the lowest common multiple of j and 25?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = -5*p + 8*g - 995997, 3*g - 398408 = 2*p. Let b be (-1 - p)*4000\/6. What is b rounded to the nearest one million?\nAnswer: 133000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.62 - 115.62. Let n = -1822503.0133 + 1822388. Let w = x - n. What is w rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1609668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 14*n**3 - 30*n**2 - 115*n + 4. Calculate w(-4).\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 484, 898, 1314, 1732, 2152, 2574, 2998?\nAnswer: 3424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 4:21 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 89680?\nAnswer: 448400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.2? (a) -1\/6 (b) -0.27 (c) -17 (d) -10 (e) -17\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48750460 and 3256.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzy when three letters picked without replacement from {z: 6, u: 3, y: 1, w: 1, d: 2, i: 2}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 7*u**2 - 2*u + 18. Calculate p(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -14*o**3 - 3*o - 6. Let n(s) = -28*s**3 - 5*s - 11. Determine -11*l(q) + 6*n(q).\nAnswer: -14*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.62 - 7.9. Let p = -3.28 - m. Which is the closest to -0.1? (a) p (b) -3 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {t: 1, s: 2, j: 1, z: 2, q: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j**3 - 2*j**2 + 20*j + 43. Give c(-3).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, g: 5, b: 3}. What is prob of sequence mb?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 65*k - 18. Let f(d) = 4*d**2 + 258*d - 78. Let c(v) = 6*f(v) - 26*w(v). Factor c(l).\nAnswer: -2*l*(l + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 17*j - 72. Let v be h(7). Which is the second biggest value? (a) 3 (b) v (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/5)*q)\/q*q*q\/q**(-1\/8)*q)**(2\/93) assuming q is positive.\nAnswer: q**(173\/1860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 186 = 18*q. Let m = q - -60. Let z be 2 + 1\/6*-11. Which is the nearest to m? (a) 4 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c*c\/(c*c**(-22))))\/c)\/(c\/(c\/(c*c\/(c**17\/c)*c))))\/(c**(-4\/9)\/((c\/(c**2*c))\/c)) assuming c is positive.\nAnswer: c**(-104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -946\/5 + 190. Let d(w) = w**2 + 4*w - 11. Let n be d(-6). Let q = n + 4. What is the third biggest value in q, u, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -220, -0.3, -1\/21, -4, -6?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -10*m + 39*m. Let y be (5 - 17)*((-5)\/m)\/(-1). What is the highest common factor of 50 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613.562 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10008.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/10*85\/34. Solve -5*f = 3*h - 17, -s*f + 5*h = -8*f + 25 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 (base 6) in base 5?\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-3\/5)*w*w\/(w*w\/w**(-2\/3))*(w*w**(-1\/2))**(-1\/9)*(w**(-1))**(-2\/43)\/(w**(-2\/31)*w*(w\/((w**(-2\/11)\/w)\/w)*w)\/w) assuming w is positive.\nAnswer: w**(-5797327\/1319670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqhtffffq. What is prob of sequence hfqq?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 43797395 to the nearest one hundred thousand.\nAnswer: 43800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 2:09 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/211 - -851\/1477. Factor 0 - k*l**2 + 2\/7*l**3 + 2\/7*l.\nAnswer: 2*l*(l - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12975698 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/4 - 2\/8. Let m = 0.138 + -1.138. Let p be (0 - -1) + (1 - 2). Which is the closest to x? (a) p (b) -0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.61898km to meters.\nAnswer: 75618.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 5*d**4 - 21*d**2\/2 + 11. What is the second derivative of n(z) wrt z?\nAnswer: 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -335*r*s - 8856*r - 22114*s + 69 wrt r.\nAnswer: -335*s - 8856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21730*p**2*r**3 + 2631*p**2*r**2 - 8*p**2*r - 2*r**2 wrt r.\nAnswer: -130380*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 e when three letters picked without replacement from mnmymne?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1517204101?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -10281*t**2 - 115*t - 230. Let q(u) = -541*u**2 - 6*u - 12. Let i(o) = -6*j(o) + 115*q(o). Let x(a) = a**2. What is i(x(z))?\nAnswer: -529*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 2:58 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 16. Let p be r(16). Let i = 8 - p. What is the common denominator of -5\/7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3676680?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2545 + -2544.9999995684. What is n rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -40002244 (base 6) in base 12?\nAnswer: -460384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5091 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 8*z - 3*z - n, 0 = 2*z - 5*n + 68. Let i be 2\/4*(z - -35). Solve -8 + 2 = i*b, -8 = 4*c - 2*b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (10 + -6)) + -13 + (-5 - -26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32.09 + 32. Let i = t + 0.0603. Round i to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwxbbxxxxxxxttixxx. Give prob of picking 2 x and 2 b.\nAnswer: 11\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19563, 39119, 58675, 78231, 97787, 117343?\nAnswer: 136899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/((-3)\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -19, 0, 79 in increasing order.\nAnswer: -19, 0, 0.4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60 or -1516\/25?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - -5585449?\nAnswer: 5585464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**5 + 121*s**4 + 199602*s**3 + s**2 - 18161072*s + 7.\nAnswer: -120*s**2 + 2904*s + 1197612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(1\/(-3)) + 2720\/(-240) + 9. Let 0 + 4\/3*h - 2*h**2 + j*h**4 + 0*h**3 = 0. What is h?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/88*12*(0 + (-10)\/(-3)). Let m be (-4)\/3 + 4\/12. Are m and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - k = k - 62, 0 = 4*b + 5*k - 128. What is the remainder when (74\/(-1 - 0))\/(126\/(-90) + 1) is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 <= -11796\/727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 28 + 22. Suppose -4*s + 9*s + y = 140, 5*s - 170 = 5*y. Calculate the remainder when s is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32688, 32685, 32682, 32679, 32676?\n\"Answer: -3*y + 32691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 116 - 74 = 0. Let a be -1*(1 + 0)*1. What is the least common multiple of 6 and a\/(-2) + d\/(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6700 or -6699?\nAnswer: -6700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -163.\nAnswer: -4\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614*n + 1732 = -6577 - 11042 - 10735 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*v**2*x**2 - 2*v**2 + 26*v*x**2*z + 2*x**2 + 98*x*z - z wrt v?\nAnswer: 78*v*x**2 - 4*v + 26*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53 + -35?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g + 14. Let l(z) = -2*z + 13. Let c be (-6 + 3)\/(6\/(-18)*-3). Let x(m) = m - 6. Let d(p) = c*l(p) + g*x(p). Determine d(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/57*6\/20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-39.\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 12*h - 6. Let y(p) = p**3 + 13*p**2 + 11*p - 17. Let x be y(-12). Let b be c(x). Let q = 125 + b. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30418 and 2680.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2685 and 1969.\nAnswer: 29535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.19 - 0.39. Let o = 0 + j. What is the second smallest value in -0.4, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -8156922.\nAnswer: 7\/2718974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40043108?\nAnswer: 2, 7, 19, 75269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 u, 1 n, and 1 v when four letters picked without replacement from fuvfnvfwvunnuw?\nAnswer: 81\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 44 = 5*a. Calculate the highest common factor of a and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 106. Let x = w - 37. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Let m be (-2)\/(4*1\/(-6)). Let w be (m - 4) + 0 - -11. Solve -4*d - d = -w, f = -4*p - d - 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + ((-18219950)\/(-5) - -6). What is w rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2079*l**2. Let b(m) = -219142*m + 438281*m - 219142*m. Calculate i(b(d)).\nAnswer: 18711*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 10. Let q be f(-10). Suppose q = -5*u + 7*k - 11*k + 1750, -4*u + 1400 = 5*k. List the prime factors of u.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -97*k**3\/3 - 909*k**2 - 6440*k - 2156\/3.\nAnswer: -(k + 14)**2*(97*k + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8339*z + 633779. Calculate q(-76).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64934 (base 10) to base 12.\nAnswer: 316b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -210555.957 rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 275*b**3 + 2*b**2 - 5*b**2 - 58*b**3 - 4*b**2 + b**2 to the form j*b**3 + d + y*b + u*b**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8679, 2, 2\/3 in ascending order.\nAnswer: 2\/3, 2, 8679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -1 + -5)\/(6\/(-27)). Suppose 13*o = 10*o - b. What is the common denominator of (195\/(-320))\/(o\/(-20)) and -53\/20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s - 9. Let y be k(6). Let i be 6\/y - 6\/(-4). Let n = -6.5 + 6. What is the closest to i in -1\/4, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (-28)\/3)\/(10\/(-60)). What is the hundreds digit of 66\/f*(-892)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -104\/11551815 and 43\/570460?\nAnswer: 46207260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (0 + sqrt(13))*-6 + -5 + 1 + -1)**2 + 4.\nAnswer: 72*sqrt(13) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) 3 (c) 3\/7 (d) -1\/7 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 5.5. Let x = -3 - v. Let h = x - -0.507. What is h rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.146 + -0.246. Is d less than -141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 24*j**2 + 17*j + 41. Calculate i(12).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 - (-3 + 1 + -1 - -7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 176146213 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from qnnznzznrnuuu?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167493 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 - 319 = -5*a. What is the remainder when 120 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -0.3, 8\/17, 0.5 in descending order.\nAnswer: 19, 0.5, 8\/17, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4872 - 4869. Suppose 2*t - 1\/4*t**5 - 1\/4*t**2 + 5\/4*t**4 - 7\/4*t**o - 1 = 0. Calculate t.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 3*k**2 + 3*k. Let s(o) = 2*o - 6. Let q be s(5). Let i = q - 12. Let p(u) = -2*u**3 + 8*u**2 - 8*u. Give i*f(z) - 3*p(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -70, 5 in decreasing order.\nAnswer: 5, 2, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2658.45701 rounded to the nearest ten?\nAnswer: -2660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 116329.57 to the nearest one hundred.\nAnswer: 116300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 14 = 7*j + 14, -2*z = -4*j - 26 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1839142 take away -9?\nAnswer: -1839133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a40 + -3?\nAnswer: -a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -7 and -36712.\nAnswer: -36719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18056959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 140 = 5*s + n, -3*n + 16 = -s. Let f = 11 - s. Suppose 0 = -q - 0 - 2, 2*c - 3*q = f. What is the highest common factor of 27 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8994032 and 4?\nAnswer: 8994032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/12760 and -111\/39440.\nAnswer: 433840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.1 - -1.9. Put -0.2, a, 2 in descending order.\nAnswer: a, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + 0.96. Let v = 41\/10 + -13\/5. Sort p, v, 0.4.\nAnswer: 0.4, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1330303 (base 5) to base 4\nAnswer: -12211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 n, and 1 i when three letters picked without replacement from {j: 3, i: 3, n: 6, y: 1}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**5\/70 + r**4\/21 + 4*r**3\/21 - 8*r**2\/7 - 10*r - 29. Let g(o) be the first derivative of d(o). Factor g(c).\nAnswer: -2*(c - 2)**2*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - y + 6*y + 99, 99 = 3*r + 5*y. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1395*o**6 - 101*o**6 - 1867*o**2 + 144*o**6 wrt o.\nAnswer: 172560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11111011101011001 (base 2) to base 13\nAnswer: -46861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4 = 6*x + o, 5*x - 8 = -o. Find the common denominator of -53\/9 and x\/8*3*-68.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y + 62. Let c be k(-15). Suppose 6*s = -c*s + 1704. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 2 - (42\/(-6))\/7. Suppose 5*p = -27 + 7, q*z - 13 = -2*p. Solve -z = -b - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(216 + 238 - 363)*(1318 + c - 1318).\nAnswer: -182*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 10 = -2*n. Solve 4 = -5*i + n*k + k, 0 = -5*i + 3*k - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 + 105. What is the nearest to 0 in 4, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6361*i**3*s - 20*i**3 - 4*i**2*s - i**2 - 18*i*s + 195*i + 36*s - 4 wrt i.\nAnswer: 38166*i*s - 120*i - 8*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616843261?\nAnswer: 11, 1109, 12049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 12. Let w be t(12). Find u, given that -u**4 + u**2 + 4 + 5*u**3 - u**5 - 8*u + 0 + w = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103\/6 - -39\/2. Let s = 129\/28 + -34\/7. Is s > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1034.3 + 1038. Which is the smallest value? (a) w (b) -2 (c) -0.5 (d) 2\/5 (e) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -5*z - 2, 29*z - 32*z + 36 = 5*h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -95 times 176.8\nAnswer: -16796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 2*m + 5*q - 14, 4*m = 5*q + 167. What is the greatest common factor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/661432 and 22\/377.\nAnswer: 8598616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 945220017.59 and 4.92.\nAnswer: 945220022.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489 + 454 - 943 - 4*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w. Let f(g) = -35451*g. Determine f(n(u)).\nAnswer: -70902*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j. Let d be 8 + -6*35\/15. Let q(x) = -x - 2*x + 0*x. Let f(h) = 2*h. Let c(w) = d*f(w) - 5*q(w). What is s(c(m))?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 1. Let z(b) = -b**3 - 6*b**2 + 3*b + 8. Let t(k) = 5*m(k) - z(k). Does 6 divide t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 13*r + 24)*(0 + 3 - 2)*(-249*r + 575*r + 59*r).\nAnswer: -5005*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(1\/6*(-26 - (-1391)\/52)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110.4 + 110.5. What is the nearest to 3\/65 in 2\/13, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 1564.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 2*y + y**4 - 6*y - 6*y**2 to the form j*y + r*y**3 + x*y**2 + n*y**4 + t and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*r + 18*r = 175 - 47. Let h(f) be the third derivative of 0 - 1\/300*f**6 - 4\/15*f**3 + 0*f - 3\/20*f**4 - 1\/25*f**5 + 6*f**r. Factor h(n).\nAnswer: -2*(n + 1)**2*(n + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-11 - -39) - 69\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) + sqrt(95)*3)*-2)\/sqrt(5))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - 3*u - 3. Let d(f) = 266 + 5*f**2 + 264 - f + 8*f - 524. Determine -3*d(l) - 7*m(l).\nAnswer: -l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59 and 901343?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(102)\/(sqrt(66)\/(sqrt(33)\/sqrt(3))) - (2 + (sqrt(34)\/(3*sqrt(2)) - sqrt(17)))).\nAnswer: -2 + 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-15) + (-66)\/45. Let f = 0.11 - 4.11. Let g = 3.9 + f. What is the nearest to 1 in m, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12022022210 (base 3) in base 2?\nAnswer: -11001100000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-1 + 2) - -50. Let t = -419\/9 + n. Let k = 2450 - 24523\/10. Calculate the common denominator of t and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -299.5 - -300. Let d = -24 + 23.7. Which is the nearest to -0.2? (a) r (b) -1\/36 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 37*i + 187. List the prime factors of b(17).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248683.\nAnswer: 248683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-three fifths of a kilometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2275)\/(-2)*(4 + 1 - 3). Suppose 0 = -3*b + 428 + h. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, x: 3, m: 3, d: 1}. Give prob of picking 3 x and 1 m.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9*u. Let z(i) = -2*i + 2*i**2 + i + i. Give t(z(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (14 - 1) - (-3 + -7) - 35.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -6) + -4 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/11)*n*n**(8\/5)*n**(1\/19)\/(((n**(1\/3)*n)\/n)\/n*n))**(-40))**(-21) assuming n is positive.\nAnswer: n**(550816\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(-3)*u)\/u)**(-1\/35)\/(u**(-12)\/(u**11\/u*u*u)))**(-2\/141) assuming u is positive.\nAnswer: u**(-1682\/4935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -5. Suppose x = 3*z + 4*z - 7. Is 1\/106 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/1 - 0*(-3)\/(-12). Solve 3*l - 15 = -2*g, 2*g = g - q*l + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 13. Let t be (63\/(-6) - -3)*(-3)\/9. Let h = 5.5 + -5. Sort 2, h, q, t in ascending order.\nAnswer: q, h, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*v + 20. Suppose -4*d - 2 = -v*d. What is m in 16*m**5 + 7*m**2 + 48*m**4 + 5*m**5 + 33*m**3 + 0*m**d - m**2 = 0?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 421 + 15175?\nAnswer: 15596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 23*j + 2. Calculate a(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(6\/5)*l**(-14) assuming l is positive.\nAnswer: l**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 17*a**3 + a**2 + a - 1. Let i be s(1). Let b(t) = i*t - 10*t - t - 4*t. Let j(w) = 12*w. Give j(b(d)).\nAnswer: 36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4718049 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 6*k - 2. Suppose -5*o + 0 = -10. Let a(x) = -x**2 + 13*x + 15. Let r be a(14). Let n be (-24)\/(-3)*r\/o. Determine g(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 j, and 2 t when four letters picked without replacement from jjjwtjwwkjewtwjjh.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12696.67 weeks to seconds.\nAnswer: 7678946016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-6)*(-18 + 15). Let b = 24 + u. What are the prime factors of b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.29 - -0.29. Which is the second smallest value? (a) -2 (b) j (c) 3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 9 = 3*f, -3*o - 3 = 2*f + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*l + 3. Let x(y) = -y**3 - y**2 + 2*y - 1. Let t be x(-2). Is t smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**4\/4 - 20*u**3 + u**2\/2 + 60*u + 616. Factor q(d).\nAnswer: -(d - 1)*(d + 1)*(d + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97 and 224167.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lilliliiil. Give prob of picking 1 i and 1 l.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 1:56 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 953*0.43.\nAnswer: 409.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*2*((-2175)\/(-50))\/(-29) - 36\/6.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/31586014 and -143\/6?\nAnswer: 94758042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 6*d - 6. Let a be j(4). Suppose a*s = -s + 36. What is the highest common factor of s and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**6\/120 - o**5\/30 - 3*o**2\/2 + 2*o. Let f(h) be the first derivative of j(h). What is the third derivative of f(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 5*f)*(-4 - 4 + 6 - 3 + 2 + 3 + (-1 + 3 - 1)*(1 - 2 + 2) - 1 + 2 + 1 + 3 - 2 + 1)*(-2*f**2 + f**2 + 0*f**2).\nAnswer: -25*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umn when three letters picked without replacement from {n: 2, b: 1, u: 1, f: 1, j: 1, m: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.9 times -835.73?\nAnswer: 8273.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, l: 1, g: 11, h: 3, c: 3}. What is prob of sequence lwcg?\nAnswer: 11\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.2 - -8. Let y = 0.67 + 19.33. Let p = -19.9 + y. What is the nearest to h in 5, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssyssassoosaaz. Give prob of picking 1 o and 1 s.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179\/273 + -1\/91. Let l be (-3 + 3 - -119) + (0 - 1). Let t = l - 117. What is the nearest to 0.2 in j, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*m = 2*c + 7, 4*c - 5*m + 3 = 0. Let l = c + 2. Factor l + 2\/3*r - 1\/3*r**2.\nAnswer: -r*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 2:29 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 18*d**2 - 21*d - 37. Let n be r(-19). Which is smaller: n or -1\/3015?\nAnswer: -1\/3015","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 38267313262?\nAnswer: 38267313269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(3\/13)\/(s**(-3\/11)\/s)*(s*s**0)\/(s*s**10) assuming s is positive.\nAnswer: s**(-1215\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3\/(-41)) + 43\/(-129)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/6 - 676*o**3 - 1022112*o**2 - 682089408*o - 169282189440.\nAnswer: -(o + 780)*(o + 1092)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 15 + 1 - (-1 + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1\/4, 2\/7, -0.2, -2 in decreasing order.\nAnswer: 2\/7, -0.2, -1\/4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + 19*o**3 + 335 - 170 - 165 + 2*o**3.\nAnswer: 21*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 + m - 3. Let g be j(-3). Let w = g + -43. Let z be 3 + w + -2 + 0 + 6. Solve v + 0*v = -z*f, 5*f = -5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15115\/1028 + 12\/257. Let v = h + -15. Let l = -0.6 - -3.6. Which is the second biggest value? (a) 0.4 (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.5, -3\/5, -5, 1605111?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101001111011000111 (base 2) to base 14.\nAnswer: -b4183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.968076 rounded to 1 dp?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, i: 4, f: 1, h: 3, w: 3, s: 2}. What is prob of picking 1 i and 2 s?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -2. Let o = w - 1. Suppose -o*l - 2*l = -84. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14483816317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -41071852 and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**3 + 868395*b**2 - 11288470*b + 31259880 = 0.\nAnswer: 4, 9, 173666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*l + 19*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 609779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a + 10. Let j(n) = -13*n - 15. Calculate 5*j(l) + 7*s(l).\nAnswer: -2*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -806*h - 244218. Calculate z(-303).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 v, and 1 n when four letters picked without replacement from bnvvbyv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 <= 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.017, -0.5, 0.4, 2\/7, -12\/7, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97659398587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, j: 14}. Give prob of sequence mm.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usi. What is prob of sequence su?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1401156, 2802245, 4203320, 5604375, 7005404, 8406401?\n\"Answer: -h**3 - h**2 + 1401099*h + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m - 28. Calculate l(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 + 17*d + 4. Let v be w(9). Sort 1, -4, v, 5 in increasing order.\nAnswer: v, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171011289923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 176 in 1\/11, 2, -14.8, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (38 + -16 - 6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 163*o**9\/252 + o**6\/120 - 49*o**5\/6 + 334*o**2 - 1. Find the third derivative of q(v) wrt v.\nAnswer: 39120*v**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*c - 5*z, 2*c + 8 = 3*z + z. Suppose g = -0*g + c. Solve 3*w - w - g = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9010*r + r**2 + 9010*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30185297 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3 + 1. Suppose 4*a = -j*p - 152, -4*a + 228 = -2*p - p. Let m = -43 - p. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) 382663 (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -257928*h*m**2 - 2*h*m + 102739*h + 3*m wrt m.\nAnswer: -515856*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1416, -2838, -4270, -5718, -7188, -8686, -10218, -11790?\n\"Answer: -s**3 + s**2 - 1418*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 6357?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23399.307 seconds to hours.\nAnswer: 6.4998075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -40 + 10*p - 9*p + 9 + 13. What is c(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**2\/7 + 7477716*q\/7 + 6989529572082\/7 = 0.\nAnswer: -1869429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144 - 156. Let x = -0.8 + -4.2. Let i = -1711 + 1714. What is the nearest to 1\/4 in l, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.45448ml in litres?\nAnswer: 0.00845448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 96 = 4*n. Let h = 1044599 + -1044600. Put -5, n, 0, h in descending order.\nAnswer: n, 0, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-222)\/(-60) + 6\/20. Solve i + 6 + 0 = -k*o, 5*o + 10 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/88*(3 + (-143)\/33). What is the nearest to 0.3 in t, 10, -2\/5, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 9*t**2 - 2. Let m be i(9). Let v be ((-2)\/(-7))\/(m\/(-28)). Let d be (30\/(-9))\/(v\/(-6)). Solve -z - d = -0*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k = -10325 + 27725. Let q = k + -632. Suppose -8*n = -4*n - q. List the prime factors of n.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1677831, 299 in increasing order.\nAnswer: -1677831, -3, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-6)*(-165)\/20. Let k = -131\/6 - x. Let y = 26\/15 + -4\/3. What is the nearest to y in 0.5, k, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 7:09 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*c + 2, 5*d + 3 = -3*c + 13. Let i be (-4)\/6*(-15)\/20. Which is bigger: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(120)\/(sqrt(12) - 4*sqrt(12))).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7963999 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 244726*t - 244723*t + 6, 4*t + 51 = 5*i - 8*t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 901.1026ug in nanograms?\nAnswer: 901102.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.613 + 0.613. Let z = 18 - 19. Put z, -2, d, -1\/3 in decreasing order.\nAnswer: d, -1\/3, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -43. Suppose -h = -38 - m. Suppose l - 3*x - h = -4*x, -5*x = -l + 29. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193605374 to the power of 1\/3, to the nearest integer?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -12 - (-59 + 65)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*r**3 - 350*r**3 - 1351 - 2887 + 2*r.\nAnswer: -3*r**3 + 2*r - 4238","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 506 - 2462?\nAnswer: -1754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -58.\nAnswer: 19\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36080 is divided by 161.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-4 + 14 - 1) + -13\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-three halves of a gram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.17111 + -0.2013. Let m = -0.229 + 0.26. Let i = b + m. Round i to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 344*d**2 + 3984*d + 5190831?\nAnswer: 688*d + 3984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 - -5 - (17 + -18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27278 - -27440. What is the highest common divisor of m and 8181?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 381 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u. Let r(s) = 2*s - 39. Let y(k) = -3*k + 76. Let m(h) = -7*r(h) - 4*y(h). Give x(m(d)).\nAnswer: -2*d - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*a + 6 = 0, 4*a - 2*a = -3*j + 2. Suppose 5*k - j*k = 2. What is q in 0 + 1\/2*q**3 - 1\/2*q + 0*q**k = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.28 times -4\nAnswer: -17.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.162.\nAnswer: 0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4279 - -3930. What is the third smallest value in 3, -3, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 + 2*w**3 - 2*w**3 + (w**2 + 0*w**2 - 2*w**2)*(3*w**2 - 7*w**2 + 3*w**2))*(-2 + 20*w - 1 - 15*w).\nAnswer: 15*w**5 - 9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*b + 568*b = -96 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-41))\/l)**(-25\/2) assuming l is positive.\nAnswer: l**(-1025\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x + 3*x - 4 + 1 + 4*x**2 to u*x**2 + o*x + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 503 divided by -210712\nAnswer: -503\/210712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a second in milliseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.7008674 to 3 decimal places.\nAnswer: 83.701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-356*t - 405 + 405)*(-26*t**3 - 7*t**3 - 2*t**3).\nAnswer: 12460*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.3 - 0.7. Let o be (-1 + (48\/9 - 3))\/(8\/6). Let l = -423\/5 - -84. What is the closest to o in c, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwjsjjhgjgjjs. What is prob of picking 1 g and 2 j?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -573.\nAnswer: 286.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.2, 0, -1\/29 in decreasing order.\nAnswer: 0, -1\/29, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -6. What are the prime factors of (-12)\/z*9\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3\/2439)\/(565\/(-903) - (-128)\/224) and 13\/77.\nAnswer: 20867","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50913851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*c + 482*c = 4*n - 64, c + 20 = n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 358072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3 = 5*t - 8, 2*t + 6 = 4*m. Suppose 3*w = -m*j + 6*w - 36, 0 = -j - 5*w - 9. Let c = -7 - j. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*l**3 - 4862 + 4862)*(-2*l - 4 + 4)*(0 - 6 + 4) to k*l + c*l**2 + t*l**4 + w + d*l**3 and give t.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 248*u**2 - 8855*u + 5274. What is y(-44)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 6*g - 5*g + 11, -5*y + 19 = g. Suppose y*i + 2*i = 25. Solve a + 16 = 6*a + 3*z, i*z = 3*a + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*p + 51 = -589. Suppose 0 = 5*c - 0 - 20. Sort c, -5, p in descending order.\nAnswer: c, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329407*v + 52618*v - 1711518*v.\nAnswer: -1988307*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (4 + (sqrt(4500) + 2)*2 + sqrt(4500) + 0)**2.\nAnswer: 1440*sqrt(5) + 40569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3*b)\/(b*b**(2\/37)))**(8\/7)\/((b**(-2)*b)**36)**(1\/2) assuming b is positive.\nAnswer: b**(5534\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-24)\/28*-7. Suppose -c - 12 = -0*c + 4*q, -g*c + 4*q = -52. Calculate the greatest common divisor of 88 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 3*i**2 - 5*i - 1. Let h be q(-4). Calculate the greatest common factor of h and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - x**2 + 8*x + 3. Let y be a(3). Let g = y + -61. Calculate the remainder when 34 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*n - 62*n + 1280702 = -2*p, -3*n + 960509 = -4*p. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2. Suppose 76 = 4*r - 5*a, 0 = -5*r - a + 27 + 39. Suppose -4*s - 2 + r = o. Solve 0 = h - n + 8, -3*h - s*n = -4*n + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, -2, 2, -4 in descending order.\nAnswer: 91, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -103) + 2 + 4 - (-23 + 37 + 0)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -1\/3, -7\/6, -0.122 in descending order.\nAnswer: 5, -0.122, -1\/3, -1, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58 - 6*l - l + 52 + l)*(-8 + 42 + 13).\nAnswer: -282*l - 282","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlqq when four letters picked without replacement from {l: 4, d: 1, q: 9}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 40*s + 150. What is z(-11)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 = 10*a - 560. Let s = a + -45. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 808\/80*5*4. Suppose 6*l + k = 748. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o + 49. Let n(u) = u**2 + 19*u + 40. Let t be n(-16). Let y be l(t). Put 2, y, 3, 34 in increasing order.\nAnswer: y, 2, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1123, -2248, -3373, -4498, -5623?\nAnswer: -6748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6640 or -6649?\nAnswer: -6640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76082969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 8 = 4*s, 0 = 5*s - 5*j - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(-45))\/(1\/5). Calculate the greatest common divisor of 16 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3441110 divided by -14?\nAnswer: 1720555\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 6*a**2 + 3*a - 3. Let t be y(6). List the prime factors of 20\/t + (-22)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85950 and 450?\nAnswer: 85950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 151367 times 1?\nAnswer: 151367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, x: 7, t: 4, u: 1, q: 1}. What is prob of sequence qoxt?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-288)\/54)\/(-2 + (-56)\/(-24))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 9*p**2 + 8*p + 6. Let h be w(10). Let d = h + 18. Suppose d*l - 71 = 729. Round l to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 64973808.\nAnswer: 64973808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*f, -4*f = -c + 2*c. Suppose 34 = y + 4*s + s, f = -2*y + 4*s - 2. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4575 + -0.0575. Which is the biggest value? (a) 16 (b) l (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005818411 rounded to 5 decimal places?\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58 (base 11) to base 10.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(192) + sqrt(12)\/(sqrt(6) + sqrt(6)*-3).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83.8 - 78. Let c = 5.800568 - r. Round c to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 875*-0.2\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = h - 3*r, h = -h - r - 2. Let c(w) = -w + 10. Let t be c(11). Let u be 16\/5 - t\/(-5). Sort 2, u, h in decreasing order.\nAnswer: u, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 178293.53\nAnswer: -35658.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 48, 83, 134, 207, 308?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b28 (base 12) to base 11.\nAnswer: 5122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 2\/15, -41, -1\/376?\nAnswer: -1\/376","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2385 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14\/23921 + 2666815\/183282702. Calculate the common denominator of h and 121\/6.\nAnswer: 7662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -286 + 286.3. What is the nearest to l in -1, 4\/3, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16294 or -16290?\nAnswer: -16294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(228)*2*3)\/(sqrt(48)*-3 + (sqrt(12) - (sqrt(588) - -1*sqrt(588)))).\nAnswer: -30*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/6 - 22763*z**4\/6 + 28785078*z**3 - 218363594120*z**2\/3 - 218449960736*z\/3.\nAnswer: z*(z - 7588)**3*(z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 13*g - 2*p - 4803 = 0, 2*g = p + 9630. What is the remainder when g is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 73 = 17. Does 11 divide (z\/2)\/((2\/8)\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - -3.8. Let k be -4*(2 - 2 - -1). What is the closest to -1 in s, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 3659992?\nAnswer: -3659995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19205 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228716414?\nAnswer: 2, 19, 6018853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 10*o**5 - 5*o**4 + 30*o**2. Let h(t) = 11*t**5 - 4*t**4 + 31*t**2. Let w(z) = 4*f(z) - 5*h(z). Find the third derivative of w(g) wrt g.\nAnswer: -900*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 14376.\nAnswer: -5\/7188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13807366?\nAnswer: 2, 17, 73, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25316 is divided by 246?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14060 - 13630. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2 - 123241*m + 2835072 = 0.\nAnswer: -123264, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(314\/(-21) - -15)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47120?\nAnswer: 2, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, -4, 0, 3 in decreasing order.\nAnswer: 4, 3, 0, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 809*x - 821*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 137 + r**2 - 107 + 157 + (-2 - r + 2 + (r + 2 - 2)*(3 + 2 - 3) + 0 + 0 + 2*r + 4 - 4 - r)*(-2*r + r - r).\nAnswer: -3*r**2 - r + 187","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 7*a - 4*a - 72 = 0, 3*h - 54 = 4*a. Are 17 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83426 divided by -101?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42501 + 22440521\/528. Calculate the common denominator of f and 61\/32.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1733*f**2. Let m(p) = 2*p**2. Calculate v(m(u)).\nAnswer: -6932*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(19) + 1) + (4*sqrt(19)*2)**2.\nAnswer: -4*sqrt(19) + 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + (-54)\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q - 2. Let f(p) = -p + 4. Let z(m) = -15*f(m) + 3*w(m). Calculate the remainder when 17 is divided by z(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5*(-10)\/(-6). Let i(a) be the first derivative of -a**2\/2 + 19*a + 6. Let z be i(18). Is h at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -364059*l + 2548415. Determine w(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -0.752.\nAnswer: -9.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*(sqrt(300) + -3))**2 - -6*(-2 + (sqrt(48) + sqrt(336)\/sqrt(7) - sqrt(48))).\nAnswer: -216*sqrt(3) + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124130*o = -62067*o - 62072*o - 243 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b. Let c(i) = 2*i + 19 - 19. Determine u(c(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00045298 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 39*x**2 + 29*x - 445. Let a be p(-40). Let n(m) = m**2 - 8*m + 3. Let z be n(8). Let b be 1\/4 - (-14)\/8. Sort a, z, b.\nAnswer: a, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 - n**4 + n**4 + (-2*n**2 + 4*n**2 - 3*n**2)*(-3 + 3 - n**2) - 2*n**4 + 6*n**2 - 6*n**2 + (-2 - 1 + 2)*(3*n**4 + 0*n**4 - n**4).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -11, -0.04058?\nAnswer: -0.04058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -14*b**2 + 43*b + 984. Determine d(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.77 + -20.07. Let q = i - -17. Let p = 0.9 - q. Which is the third biggest value? (a) p (b) -2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + h + 1. Let d be q(-2). Let o = d - 1. What is the third derivative of 6*x**5 - x**o + 2*x**6 - 6*x**5 wrt x?\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 21*q + 56 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178669574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -8*b + 168. Suppose 0 = -6*f - 0*f + b. Find the third derivative of -18*k**2 + 7*k**f - 17*k**2 + 25*k**2 + 7*k**4 wrt k.\nAnswer: 336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4362*w + 30121. What is s(-7)?\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/12 - (-1092063)\/76 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 20 = 0, 0 + 8 = i + 2*n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -226585*p*v**2 + 1468*p*v - 35384*p - 340*v**2 wrt v.\nAnswer: -453170*p - 680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4 - 36. Calculate the lowest common multiple of 4 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2741149301\/6215904 + -895783\/2034. Let a = -5\/573 - i. Calculate the common denominator of a and 117\/40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**8\/1512 + h**6\/540 - 15*h**2. Factor x(y).\nAnswer: -2*y**3*(y - 1)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 53\/5 of a centimeter?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 18 = -3*d, 2*d = -u + 2 + 3. Let r = 0.5 - -3.5. Put -1\/3, u, r in decreasing order.\nAnswer: r, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/l**(1\/8)*l\/(l*(l*l**(1\/2)\/l)\/l)*l**(-8))\/((l*l**8\/l*l)\/(l*l**(-5\/7)))**21 assuming l is positive.\nAnswer: l**(-1533\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 613 - 611. Suppose 4*x = y*a - 228, 5*x + 48 = -2*a + 321. Calculate the remainder when a is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 - 2*u**2 + 4 + 3*u + 3*u**2. Let m be x(3). Suppose -3*b + m*b = 2. Solve -3*y = -b - 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -a - c - 0*c, -c + 515 = 5*a. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-208)\/1872 - (-3296)\/18. What is the greatest common factor of 1586 and w?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0462 - 0.0538. What is the closest to s in -39, 0.5, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*c + 4*s - 15, -6 = -2*s. Solve o - 3 = c*w - 7, -o = w + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.06868 (b) -5 (c) 3\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1446*w**2 - w + 2296*w**2 - 1346*w**2 + w.\nAnswer: -496*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.3, -23, -627?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66732901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/133611595 or 1?\nAnswer: -2\/133611595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1772514 is divided by 765.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - -22?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 n, and 1 b when four letters picked without replacement from aybnynanbny?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = 0, 187*q + 2*k = 185*q + 12. Let r = -4.8 + 0.8. Let f = r - -3. Which is the closest to 2\/3? (a) f (b) q (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 30. Let k(i) = 3*i + 10. Calculate the remainder when k(8) is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -20. Let a(n) = -21*n - 25. Suppose -2*o + 1 = 2*h - 3*h, -1 = -5*o + 2*h. Let p be a(o). Sort p, k, -3 in descending order.\nAnswer: k, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*w + 2*n = -46, n + 17 = w. Suppose -j = 5*y + 18, -2*y + 2 = w. Suppose -10*h + j*h + 3 = 0. Calculate the greatest common factor of 8 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 97. Let j = z - -67.12. Let l = j + -5.12. Sort -0.1, l, 5, 2 in increasing order.\nAnswer: l, -0.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15f (base 16) to base 6.\nAnswer: -1343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19374 - 1276*h**3 + 19374.\nAnswer: -1276*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 352\/22 + 12\/(-1). Solve -3*s - j + 6 = 5*f, 5*s - 5*f + 10 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c = -11*c - 132784 + 415331. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 18*p**2 - 78*p - 52. List the prime factors of b(15).\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328437 (base 9) to base 2.\nAnswer: 101111111101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from {s: 1, r: 6, q: 2, l: 2, z: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744360370?\nAnswer: 2, 5, 13, 5725849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16531 is divided by 3787.\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 765 (b) 1 (c) 2.25 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3142 rounded to two dps?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8 + -2.76. Let u = 32.34 + -32. Let i = u - t. Which is the third smallest value? (a) 3\/8 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 63. Let j be c(57). What is the biggest value in -1, j, 0.17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 3.3. Let h = 3.2 - -9.8. Let x = 9 - h. Put 0.5, x, b in increasing order.\nAnswer: x, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5528*l - 10805. What is c(2)?\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236 and 488284.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - -32) + -89 + 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, -72, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**4\/8 + 9*a**3\/2 - 26*a**2. Let q be i(9). Suppose b - 21 = q. Calculate the remainder when b is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 - f**4 + 0*f**3 + (f + 2*f - f)*(-2*f**3 - 3*f + 3*f) - 3*f**4 + 5*f**4 + 0*f**4 to y*f + b*f**2 + l*f**4 + g + i*f**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y - 5*u - 4, -3*y - 54 = 3*u. Let x be (-2)\/y*3 + (-130)\/700. Let n = 12 + -12. Which is the third smallest value? (a) x (b) n (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 147*z**5 - 5943*z**4 + 31554*z**3 + 19500*z**2 + 2856*z = 0.\nAnswer: -2\/7, 0, 7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by 3647425?\nAnswer: -47\/3647425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15862 divided by -1133.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 9. Let w be c(0). Let n be 10\/(-2) - 312*(-3)\/9. What is the greatest common factor of n and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 936.6894 nanograms in micrograms?\nAnswer: 0.9366894","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 4*l + l - 7. Let p be 1 + 1 - (-8)\/(-1). Let a(t) = -1. Give p*a(h) + y(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136219040 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 134897 and 134897?\nAnswer: 134897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24208 - -168443\/7. Let m = -145 - k. Which is the closest to m? (a) 4 (b) 1 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/2 - (-9 + 7). Let a be 2*((10\/2)\/v)\/(-1). Solve -5*h + 10 = 4*k, -3*k - 4*h + a = -6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1654948 is divided by 551644.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3 + 0 - 3 + 12471*f - 12472*f. Let u(n) = n**2 - 13*n + 19. Let m be u(11). Let h(j) = 2*j**2 - j + 1. Calculate m*l(i) + h(i).\nAnswer: 2*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -21057\/55 at least as big as -384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*s + 4, -3*s + 5*r - 20 = s. Is 195*((-1 - s) + 2) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*n - 34, -3*p + n = -3 - 14. Let h(m) be the second derivative of m**4\/12 - 2*m**3\/3 - 4*m**2 - 251*m + 1. What is h(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165492 * -2\nAnswer: -330984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + v - v)*(3*v - 3*v - v) + 0*v**2 - 5*v**2 + 4*v**2 + (-2*v - 4*v + 4*v)*(-2 + v + 2) - 1 + 1 + 2*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-30) - 4\/(-6). Let j = -2\/169 - -352\/1183. Sort k, j, -2 in ascending order.\nAnswer: -2, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2301315966.\nAnswer: 2, 3, 127850887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1100*l**3*x*z**3 - l**3*x - 4*l**3*z**2 + 12*l**2*x + 243*l**2 + 267*l*z**3 - 6*l*z**2 - 35*x*z**3 + 2*x*z - 4*z wrt z.\nAnswer: -6600*l**3*x + 1602*l - 210*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3\/4, -9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1095468 and 51486996.\nAnswer: 51486996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 390587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-18))\/(2\/48). Let a = 11 + g. Let q = 16 - 15. What is the second smallest value in q, 2\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*i - 2*c, 0 = 3*i - 4*c - 7986 + 8006 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -52.974 and 4.\nAnswer: -211.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20547 is divided by 411?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**5)**(-2\/3))**(-48) assuming o is positive.\nAnswer: o**192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 + -8 + (-776)\/(-60). Let h(v) = v**3 + 6*v**2 - 4. Let i be h(-6). Let q be ((-10)\/3)\/(i\/6). Which is smaller: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267.8193 decades in millennia?\nAnswer: 2.678193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 - 3*t**3 + 2*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105984675 and 5207.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -g - 21, 2*g + 37 = 4*r - 5*r. Suppose 4*a = 30 + 42. Let n = g + a. Which is bigger: -5\/6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 9058 - 2984 = 0. Suppose -5*m + h = -81963. What is m rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19084.33 times 0.016?\nAnswer: 305.34928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 69349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 - 1. Let h = -27845.4 - -27845. Which is the closest to x? (a) 34 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*(k\/(((k*k**(-4\/5)*k)\/k)\/k))\/k)\/(k*k*k**(-1\/7)*k*k)*((k*k**(-2\/5))\/k)**(-2\/129) assuming k is positive.\nAnswer: k**(-46\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 99 and 0.777149193.\nAnswer: 99.777149193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 6:01 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-33)*18\/(-198)*12\/4.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, 0.42, 1\/29, 4 in decreasing order.\nAnswer: 81, 4, 0.42, 1\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-25 - -1) + 11 + 1 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 112461546 - 5?\nAnswer: 112461541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1227 and 273.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**11)*d\/(((d\/(d*(d\/d**(-2\/15))\/d))\/d)\/d))\/((d*d*d**(-2\/7))\/d)**(2\/89))**29 assuming d is positive.\nAnswer: d**(3825854\/9345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 17 + 37*m - 20 - 15)*(m - 4*m - m).\nAnswer: -148*m**2 + 176*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196 + 195. Let h = 13 + -5. Let o = -4 + h. Which is the second smallest value? (a) t (b) -1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1412, 2874, 4334, 5792, 7248?\n\"Answer: -j**2 + 1465*j - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1165*b**4 + 3*b**3 - 7*b**2 - 12 - b - 1164*b**4 + 12*b**2 to the form x*b**2 + j*b + k + h*b**4 + p*b**3 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -5, 1326 in descending order.\nAnswer: 1326, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4597 + -4513. Calculate the greatest common divisor of 1806 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 45300.31 millennia to months.\nAnswer: 543603720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1046937km to meters.\nAnswer: 104.6937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.8 - -8.8165. What is s rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 2*l + 2*i, -1016379 = 3*l + 14*i - 1016846 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 16 = m. Let y = -2433 - -2436. Differentiate 0*p**m + 13*p**4 - 6*p**y + 6*p**3 + 11 wrt p.\nAnswer: 52*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48789179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t**3 - 748*t**2 + 748*t**2.\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 42.6. Let n = d + 2.1. Let q(i) = i**3 - 6*i**2 - 4*i - 16. Let p be q(7). What is the third biggest value in n, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -1 + 113. Calculate the smallest common multiple of h and 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + -2 + sqrt(147) + 5 - (sqrt(12)\/(sqrt(12)\/sqrt(3)*6))**2.\nAnswer: 35\/12 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/((-48)\/(-136))*20?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31856 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -198, -24.\nAnswer: -198, -24, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17642*q + 774272 wrt q?\nAnswer: 17642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47140 and 141420?\nAnswer: 141420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6\/11, -1\/4, -52 in increasing order.\nAnswer: -52, -1\/4, 6\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 12 = -12*v. Find the first derivative of 52*q**v + 6 - 26*q**2 + 18*q**2 wrt q.\nAnswer: 88*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -446881 (base 11) to base 12.\nAnswer: -2a3b17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 248 - ((-21)\/(-9) - 3)*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21\/4*b**5 + 0*b**3 - 3\/2*b**4 + 0*b + 0*b**2 + 0.\nAnswer: -3*b**4*(7*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)\/(97\/2). Let f = c + 497\/582. Find the common denominator of f and 40\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*k + 5*h = -207*k + 25, -9*h = -12*k - 48 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -216, -304, -374, -420, -436, -416, -354?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:34 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**4 + d**4 + 0*d**4 + (-138 + 58*d**4 + 138)*(-6 + 2 + 0) + 16*d**4 + 15*d**4 - 27*d**4.\nAnswer: -230*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g - 3, -3*u - 2*g = -603. Let q = u - 36. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 3. Let g = 10 - f. Let t be (-1 - -1)\/(-1 - g). Solve 2*x - x = -3*a + 8, t = x - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l - 3. Give t(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = r - 3*r. Let n be -1*(0 - r) - -14. Let p be ((-35)\/10)\/(2\/(-60)). Calculate the greatest common factor of n and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19497?\nAnswer: 3, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/((h*h**27\/h)\/h)))\/(h\/(h**(-19)\/h)) assuming h is positive.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -105146995*3\/(-270) + (-7)\/(-126). What is o rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3130353*w**3 - w**2 + w + 1904699.\nAnswer: 9391059*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 15 (c) -5 (d) 2610\/13 (e) 0 (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 626\/26 - 50484\/(-54691).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 6 (b) 5 (c) -26\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, i: 6, r: 3, c: 2, w: 1}. Give prob of sequence cwvc.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 12*f + 549. Determine k(-34).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1932 and 202239.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -24*g - 84. What is o(8)?\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 179, 173, 167, 161, 155, 149?\n\"Answer: -6*u + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -582433.9 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 60639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -279.2700224?\nAnswer: 279.0700224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Suppose -u - l = -h - 9, -3*u + h = -15. Solve 3*r - 17 = u*b - 6, 5*r - 3*b - 11 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/21*-1*(-105)\/60.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0576487 and 0.075?\nAnswer: 0.0043236525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 21*b - 11*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 1:36 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 4:34 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**4\/26 - 4*n**3\/39 + n**2\/13 + 4*n\/13 - 9. Factor l(g).\nAnswer: -2*(g - 1)*(g + 1)*(g + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*g - 26 = x, -3*x - 5*g = 34. Let y = x - -9. Let j be 12\/(-36)*(0 + y). Which is the closest to -1? (a) 3 (b) 2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(61\/549)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {e: 2, h: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.122 + 1.122. Which is the closest to -14? (a) -5 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14315071657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2*r + 100, 0 = 2*x - r - 2*r - 102. Let u be (7\/(-4))\/((-3)\/x). Is (u\/20 - 1)\/(1\/245) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from ldlqdll?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/2, -4.9, 14, -0.3 in ascending order.\nAnswer: -4.9, -0.3, -0.1, 3\/2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -390, -4181, -14468, -34503, -67538, -116825?\n\"Answer: -542*j**3 + 4*j**2 - 9*j + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37599144, 37599209, 37599382, 37599717, 37600268, 37601089, 37602234?\nAnswer: 37603757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 597.5 + -602.5. Is -0.19 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 14*v - 2. Let k(w) = w - 1. Let b(d) = 5*k(d) - u(d). Let g be b(-9). Does 18 divide (g\/4)\/(3\/(-72))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -788 divided by -6\nAnswer: 394\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**8\/2184 + 6*o**7\/455 + 31*o**6\/390 + 44*o**5\/195 + 19*o**4\/52 + 14*o**3\/39 + 4*o**2 + 4. Factor c(j).\nAnswer: 2*(j + 1)**4*(j + 14)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 14*i + 13. Let g be o(-2). What is the units digit of (-18)\/4*(6 + 250\/g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -666*x + 182. Let w(k) = -364*k + 92. Let b(q) = -6*c(q) + 11*w(q). Give b(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 13. Let a be (4\/(-5))\/(4\/g). Factor 3*m**a + 0*m**2 + m**3 + 2*m**3.\nAnswer: 3*m**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/2 - -2)*-9*14\/(-63). Calculate the greatest common factor of k and 234.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 2 = -4*w + 10, -2*w = 12*z - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*x - 132 = 98, 5*x - 61 = -2*y. Suppose 4*i - 5*a + 0*a = -y, 0 = -3*i + 5*a - 36. Let u(t) = t. Let w(s) = s. Give i*w(c) + 4*u(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, o: 1, g: 2, h: 2}. Give prob of picking 1 a, 1 o, and 2 h.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, -17, -53, -105, -179, -281, -417, -593?\n\"Answer: -x**3 + x**2 - 22*x + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5152 by -392.\nAnswer: -92\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -38.386234, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153786933 is divided by 6959.\nAnswer: 6951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -237 - -239. Let w(p) = -21*p**2 + l*p**2 - 9*p**2. Let z(j) = -j**2. Determine z(w(n)).\nAnswer: -784*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 - -0.52. Let v = -2.4 - r. Let i be (-3)\/7*(-4)\/3. Sort 5, i, v.\nAnswer: v, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(3 + (-11481)\/3784)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069866 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -804.6539 or -0.005?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53\/2586 + -4801\/18102. Let p = -2 + 0. What is the third biggest value in 0.1, p, -2\/19, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 8*s**2 + 9*s + 7. Let q be h(-6). Suppose 0*r = -5*r + q, 2*r - 662 = -4*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -105 in -11, -0.2, 13, -3\/5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Suppose -66 = 14*v + 46. Let s be (0 + -6)\/(-10 - v). Solve -23 = 4*w - w - 4*b, s*w = -d*b - 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 3945 in decreasing order.\nAnswer: 3945, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (8 - -1) + -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*y**3 + 274 + 37*y**3 - 116*y**3 + 36*y**3.\nAnswer: -y**3 + 274","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -72800.02 and 170.2.\nAnswer: -72629.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 104867129 take away 0.1?\nAnswer: 104867128.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.49648721 to the nearest integer.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x = 771 - 533 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**6)*j*j)**(2\/107) assuming j is positive.\nAnswer: j**(-8\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(33)\/(sqrt(3)*-2) - (sqrt(44)\/sqrt(4)*-6 + sqrt(11)))**2.\nAnswer: 875\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -852 - -2310. Is 17 a factor of m\/42 - 4\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7202462 to the nearest 100000.\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 106 = -4*w. Calculate the remainder when 189 is divided by w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426 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: What is the units digit of 315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - 68\/11 - (-8)\/44. Let g(l) = -2*l**2 + 9*l - 5. Let s(y) = y**2 - 5*y + 3. Determine b*s(z) - 6*g(z).\nAnswer: 2*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-33)\/(-2)) - 1150\/3300.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 7, -3, -2, 9592, 1.\nAnswer: -6, -3, -2, -1, 1, 7, 9592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 8888?\nAnswer: 62216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*6 - sqrt(2)) + (-1 + sqrt(2))*-2.\nAnswer: 2 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 34*z + 21. List the prime factors of s(6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - 3)\/1)\/(140\/(-500)*-5)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-7)*86 + 2 - 104\/(-364).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -4*o - 7, 2*o + 0 = -4*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (34\/24)\/(-17)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 49771200.\nAnswer: 49771200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -2)\/((-1)\/(-2)). Suppose -r*o = o - 3*n - 21, -o = -3*n - 11. Let a be -3*1 + -16 + 19. Solve -5*v + o*t - 5 = a, 2*v - 3*t - 2 = -1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/5 + 1238881252*a\/5 + 191853344569635938\/5.\nAnswer: 2*(a + 309720313)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 83 = -3*u, -2*u + 73 + 5 = 4*y. Suppose -2*f = -0*f - y. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 3)**2*-2.\nAnswer: -954 - 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 4 - 18 + 14.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k**31)))\/k)\/k**(21\/4) assuming k is positive.\nAnswer: k**(103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 204, 2061, 7098, 16905, 33072, 57189, 90846?\n\"Answer: 265*b**3 + 2*b - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**3 - 2*i. Suppose 8*g = 13*g - 40. Let b(j) = -g*j**2 + 2*j**2 + 8*j**2. Give q(b(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 4. Let n = -0.6 - 0.4. Let h = n + 0.7. Put h, 0, r in increasing order.\nAnswer: r, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 1:30 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -584, -1322, -2366, -3722, -5396?\nAnswer: -7394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*j + 199 - 48, -3*j + 4*s + 152 = 0. What is the remainder when 187 is divided by j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7530 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3\/7, -3\/35, -209?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*i. Let o = i - -5. Let m(c) = -c**3 + 7*c**2 + 2*c - 5. Does 6 divide m(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 450283622?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 157109044?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + d + 3. Let c be r(5). Suppose -4*q + 2*u = -12, c = 2*q + 4*u + 7. Solve -2*w - 3 = -3*a, q*w = -5 + 20 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 648 + 396. What are the prime factors of s?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1105 = -13*o - 3523. Let p = 259 + o. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 208*k + 174*k - 1 + 176*k - 599*k to the form o + t*k + j*k**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 940941 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, -5, -1, -24 in ascending order.\nAnswer: -24, -5, -3, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -218000 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, 5, 16, 31?\n\"Answer: 2*g**2 + g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and (-5)\/(-21 + 1)*16.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 18 = 5*q. Suppose 95*h + 1056 = 117*h. What is the greatest common divisor of q and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43145124 divided by -19\nAnswer: -2270796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5380361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.5 (c) -83575\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-1) - 14\/(2 + -4). Solve c - 2*c - c**s - 3*c**3 + 5*c**3 + 0*c**5 = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*t = -2*p + 2, 4*t = -5*p + 6. Let s be (-2 + 9\/6)*8. Sort p, -2, s in decreasing order.\nAnswer: p, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4 + 30*s**3 + 2*s**2 - 30*s = 0.\nAnswer: -1, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 7, 1, -1, 143 in ascending order.\nAnswer: -1, 1, 7, 87, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*p**3 + 5*p**4 + 21*p**3 - 38*p**3 - 141 - 4*p**4 - 2*p**4 as n*p**3 + b*p + i + t*p**2 + d*p**4 and give i.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30914)\/(-11310))\/(1\/15).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -9078, 1 in descending order.\nAnswer: 13, 1, -9078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.091 - 0.009. Let r = y - -1.1. Let t = 2.4 + -2. What is the closest to 0 in r, 2\/13, t?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + (-138)\/20 + (-31)\/10. Let t = 0.05 - 0.1. Let i = t + 3.05. Put -1, f, i in increasing order.\nAnswer: f, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-22 - (-3 + -12)) - -42.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*l + 3, 5*w - 2 = -4*l - 4. Find g such that 12*g**3 - 16*g + 4*g**w - 16 - 3*g**3 - 5*g**3 + 0*g**2 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 470455 + -3?\nAnswer: 470452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k + 0 + 3*k - 3. Let v(x) be the second derivative of -x**3\/6 - 3*x**2\/2 + x - 60. What is 5*p(a) - 4*v(a)?\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 147\/68982430 and -77\/49850.\nAnswer: 344912150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 8 = y. List the prime factors of (2 - 18)\/y - 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbbbdibgb. Give prob of picking 1 g, 1 d, and 1 i.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1514 divide 78415854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/17, -5, 6\/271, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4 - 1 - 1 + 7. Let s(i) = -i - 7. Let c(k) = 1. Let d(t) = -6*c(t) - s(t). Determine a(m) - 2*d(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7 + (-7 - -981) + -8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*v = 3*m - 60*v - 5062, 0 = -3*v + 6. What is the remainder when m is divided by 555?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -398*y**2. Let s(u) = u**2. What is s(n(c))?\nAnswer: 158404*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 47103 divided by 47103\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1916, -9984, -30320, -69056, -132324, -226256?\nAnswer: -356984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**6\/120 - q**5\/15 + 7*q**4\/24 + 2*q**3\/3 - 4*q**2. Suppose 130 + 35 = -33*n. Give d(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128.4952 decades to millennia.\nAnswer: 1.284952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 665739 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (12 - -1) + 2. Let g = -12 + 43. Let h be (-3)\/(-12) - g\/(-4). Solve -l = -x - 3*b + 7*b, 4*x - 2*b - h = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c + 4 = 0. Let f(h) = -3*h**3 - 2*h**2 + 2. Let v be 15\/20*(-2420)\/165. Let n(w) = 15*w**3 + 11*w**2 - w - 10. Calculate c*n(t) + v*f(t).\nAnswer: 3*t**3 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 110 = -442. What is the common denominator of 1 - 1 - 57\/10 and 1\/(-10)*v\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k + 113. Give y(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1707087?\nAnswer: 3, 47, 12107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2. Let z(g) = 20*g + 30. Suppose 0*t - t - 3*b - 39 = 0, -3*b = 9. Let q(x) = -1. Let i(a) = t*q(a) - z(a). Determine i(l(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*f**2*l**2*o + f**2*l*o - 2*f*l**2*o - f*l**2 - 65*f*l*o wrt f?\nAnswer: 96*l**2*o + 2*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/((-45)\/(-1533)))\/((-2)\/6). Suppose 5*n - f = u, -5*f = -8*n + 3*n + 515. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 93*u**2. Let o(r) = -2*r. Calculate g(o(m)).\nAnswer: 372*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/9)\/((-1)\/(-6)). Suppose -2*u - z*u = 0. Suppose u = -4*g - 2*d + 6, 3*g + g + 3*d - 3 = 0. Solve 3*n - n + l - 10 = 0, 5*n + g*l - 27 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125.7287 + -2.1271\nAnswer: 123.6016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1)\/a)**(-3\/23)\/(a**(2\/5)\/((a*a\/((a\/((a\/a**11)\/a)*a)\/a)*a*a)\/a)))**(2\/25) assuming a is positive.\nAnswer: a**(-2132\/2875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*3\/2*(-10 + 12). What are the prime factors of 30\/(15\/(-10) + p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -238*g**2 + 25*g - 181*g**2 - 1 + 417*g**2 - 3. Let q(n) = -5*n**2 + 74*n - 11. Calculate -11*h(s) + 4*q(s).\nAnswer: 2*s**2 + 21*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2*((14\/(-2))\/98)\/2*-10\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmmm. What is prob of picking 3 m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30, -82, -170, -294, -454, -650?\n\"Answer: -18*q**2 + 2*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a86 (base 11) in base 3?\nAnswer: 101220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-8) + 74\/((-38480)\/(-6825)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**2 + 6*s + 5. Suppose -2*x + 46 = -4*j - 0*j, 55 = 2*x + 5*j. What is the remainder when r(-4) is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r**3 + 75*r - 73*r - 2*r**2 - 5*r**2 to j*r**2 + k*r + a + g*r**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -48*g**3 + 43*g**2 + 5*g - 5. Let v(c) = c - 1. Let x(h) = t(h) - 5*v(h). What is the third derivative of x(a) wrt a?\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g + 3702. Let v(o) = -2*o - 1233. Determine 3*n(j) + 8*v(j).\nAnswer: -j + 1242","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 16 + 2*z + 16 + (1 - 1 + 2*z)*(0*z + 4*z - 2*z) - z**2 + 2*z**2 + z**2.\nAnswer: 8*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -143141, -143200, -143259, -143318, -143377, -143436?\n\"Answer: -59*b - 143082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 33. Let k = 21 - v. Let y be (1 + k)\/(-2 - -1*4). Solve 2*d + 10 = -y*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5814*d = -11510*d + 5822*d + 10332 for d.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -4*r - 3. Let n = -27 - r. Let c(d) = 24*d**2 - 19*d - 13. Is c(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 3*f**2 + 0*f**2)*(3*f**3 - 3*f**3 - f**3) + 2*f - 7*f**5 + 17*f**3 - 17*f**3.\nAnswer: -5*f**5 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -111218 greater than or equal to -111216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -12*z + 36. Let m be i(2). Suppose 2 = 3*x - 10. What is the first derivative of m*r**4 - 10*r**4 + 16*r**4 - 1 + x wrt r?\nAnswer: 72*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**4\/10 - 68*p**3\/15 + 71*p**2\/5 - 72*p\/5 + 319. Factor g(n).\nAnswer: -2*(n - 1)**2*(n + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*l + 77*l = -80. Suppose -5*t - 2*p + 31190 = -10659, l*t = -3*p + 33482. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**4\/2 + u**3\/3 - 3*u**2 - 7*u + 4. Is t(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 74 + (-6)\/(-4)*(-5 + 3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.16, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -16*n**3 - 3*n**2 + 3*n + 3. Let t(h) = 817*h**3 + 152*h**2 - 152*h - 152. Let x be -153 + ((-20)\/(-8)*4 - 9). Calculate x*m(v) - 3*t(v).\nAnswer: -19*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 12*f + 3. Let t be p(12). Let v = 80 - -12. Let a be ((-1)\/2)\/((-23)\/v). Solve 4*r + 3*m + t = -8, a*m + 9 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 3*p**2 + 2*p + 1. Let b be o(-5). Suppose -60 = b*j - 56*j. Let d(n) = -n**3 + 5*n**2 + 4*n - 2. Calculate d(j).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 3*j + 20 = 0. Suppose 4*q = 20, 5*q = -0*k + j*k + 10. Differentiate -v - k*v + 3 + 2*v wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -18*r**2. Let t(n) = 542911*n**2. Give p(t(l)).\nAnswer: -5305542370578*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -8*f**5\/5 - 27*f**4\/4 - 280*f**3\/3 + 368. Find the third derivative of y(a) wrt a.\nAnswer: -192*a - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -771*o**5 - 4*o**4 + 6*o**3 + 2115143*o**2.\nAnswer: -46260*o**2 - 96*o + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 204839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 270 + -255. Let x be -2 + 16\/6 + 815\/y. What is the highest common factor of x and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -769 by -8.\nAnswer: 769\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*6)\/((sqrt(22)*3)\/sqrt(2)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58 - -2)\/(12\/384*64)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 5. Suppose x + 5*o - 153 = -0*x, 2*x + 2*o - 314 = 0. Suppose -4*l + 115 = -3*h, 10*l + h = 5*l + x. What is the remainder when l is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 4418*h**6\/15 - 6799*h**3\/3 - 1309*h. What is the second derivative of z(r) wrt r?\nAnswer: 106032*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*j**3 + 1117893*j + 2 - 1117893*j.\nAnswer: -82*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 931 and 703.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.044, -0.1, 0, 25, 2\/3, 3 in descending order.\nAnswer: 25, 3, 2\/3, 0, -0.044, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4471 is divided by 3598.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*(1*(-1*sqrt(117) + sqrt(117)) + 2*sqrt(117) + -3))**2 + -1.\nAnswer: -1296*sqrt(13) + 17167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6}. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -401 - -403. Suppose -976 = -r*l + 2*z, -l + z + 3*z + 503 = 0. What are the prime factors of l?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487\/4 at least 872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**4\/6 - 4*o**3\/3 - 13*o**2\/2 + 630*o. Calculate r(-4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3\/4 + 85*n**2\/4 + 155*n\/4 + 75\/4.\nAnswer: 5*(n + 1)**2*(n + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -20. What is the units digit of ((-33)\/(-5) + f + 0)*55?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y + 2. Let b be x(0). Suppose 0 = 3*r + 2*n + 7730 + 37272, -29999 = b*r - n. Round r to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**10\/120 - y**6\/180 - 2*y**3 + 6. Let x(h) be the third derivative of s(h). What is the third derivative of x(z) wrt z?\nAnswer: 5040*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((2 - 6) + 6) - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28399.6264 rounded to the nearest 10?\nAnswer: 28400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77127 = -15*g - 270327. Let y = -450836\/35 - g. Find the common denominator of y and -45\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - l - 14 = 0, -2*l = 3*b - 2*b + 3. Let g(u) be the second derivative of -u**5\/20 + 5*u**4\/12 - u**3\/3 + 5*u**2\/2 - 30*u. Determine g(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hphllrrrlxxzlrr. Give prob of picking 2 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3\/14, -2\/752887?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**24*y))\/(y*y**(3\/2))*(y**23)**(-26) assuming y is positive.\nAnswer: y**(-1251\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-2)\/y))\/((y\/y**2)\/y))\/(y**(-2)\/(y**(1\/2)\/y*y)) assuming y is positive.\nAnswer: y**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4118*r - 2817*r + 0 - 17517*r - 2 as y*r + d and give y.\nAnswer: -16216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*g**2 - 39*g**2 - 45851 + 22913 + 22938.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -129*g**5 - g**2\/2 - 29*g + 78. Find the second derivative of p(o) wrt o.\nAnswer: -7740*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 9 = 2*n, 6 = -3*n - n - 2*r. Let z = -20 - -22. Solve n*i = -i - z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**3*t**3 - 4107056*s**3*t + 11*s**2*t**3 + s**2 - 6982*t**3 + 2*t wrt s?\nAnswer: -6*t**3 - 24642336*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 9051?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y + 2*y)*(11 - 195 - 560 - 305 + 82).\nAnswer: -1934*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0555291 - 54.7.\nAnswer: -54.7555291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.9 or 21?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = 6*h - 13. Suppose -112 + 8 = -4*y. Let l be y\/36 + (-2)\/9. Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-2)\/(-2)*2. Let g be m\/10 + (-16)\/10. Let c(s) = 5*s**2 + 2*s + 1. Does 13 divide c(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20748373253 + 2.25\nAnswer: -20748373250.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6985? (a) -0.06 (b) 2\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*l = 16, -3*u + u + 4*l = -14. Suppose -2*p + 46 = -3*m, 6 = -3*p - u*m + 45. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*a - 5*d - 1, -8*a = -18*a + 13*a - 2*d - 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -0.5. Let g = 0.1 - m. Let s = g - 0.1. Sort s, -1\/5, 1 in decreasing order.\nAnswer: 1, s, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 456 + -191. Round z to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11662896*k**4 + 15*k**2 + 397880*k wrt k?\nAnswer: 279909504*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 879 in -0.2, 1, 1\/6, 57\/26, -2\/7?\nAnswer: 57\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88480.098 milliseconds to hours.\nAnswer: 0.024577805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0*z + 25\/12*z**4 - 1\/10*z**5 - 8\/3*z**3 - 3 + 9*z**2. What is f in i(f) = 0?\nAnswer: 1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4022 divide 495326137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 228912 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**6\/120 + 2*v**5\/15 - v**4\/24 + 2*v**3\/3 - 3*v**2. Let n be z(8). Let a(h) = h**2 + 4*h + 2. What is a(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137874 divided by 22\nAnswer: -6267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5531466?\nAnswer: 2, 3, 921911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-9\/7))**(11\/4))**(-1\/13) assuming m is positive.\nAnswer: m**(-55\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 251112817?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-705)\/(-987))\/((-2)\/7)*(-30)\/(-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3))**(1\/24))**(-3\/5)\/((t**0\/t)**(4\/7)*(t*(t*t**(-1\/5))\/t)\/t**(-2\/3)) assuming t is positive.\nAnswer: t**(-149\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**3 + 485*x**2 - 994*x - 377. What is o(-99)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 8112.729 centimeters in millimeters?\nAnswer: 81127.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 17 + (-1 - -1) + -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - 10. Let t = f + 19.00054. What is t rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0 - 4. Let r(p) = 21*p + 18. Let x(v) = 651*v + 560. Let k(j) = 63*r(j) - 2*x(j). What is the units digit of k(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g = 45. Let i(t) = t**2 + 9*t. Let l be i(g). Suppose 2*o - o - 11 = l. What is the remainder when 32 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. Let o be (-2)\/(-3) + 1\/j. Solve o + 0 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 4398*v**2 + 196416*v + 2171224.\nAnswer: -2*(v - 2243)*(v + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/8 and (21\/5)\/((-190)\/(-25)).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 6 = -148*r + 150*r, -4*x - 2 = -0*x + 2*r - 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -18*i**2 + 83*i + 182. Give k(-2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-440)\/330)\/((4\/(-306))\/(358\/6)). Solve 9*n + j = 6104 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 2. Let m be n(9). Let w(s) = s**2 + 23*s + 4. Let f be w(m). Let b be 0*1\/2 - f. Calculate the highest common divisor of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-43714)\/33)\/(-1 - (-3)\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12272, -23277, -41618, -67295, -100308, -140657, -188342?\n\"Answer: -3668*g**2 - g - 8603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 10 = 34. Let c(k) = 4*k**2 + k + 2. Let q be c(-2). Suppose m*y - q = -2. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 40*z = 33*z + 735 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30800 is divided by 3402.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5062 is divided by 421.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 5:28 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*p - 0*p - 43, -2*r + 2 = 0. Let y(k) = 2*k**2 + 3*k - 4. Let o be y(-4). Suppose 5*u + p = -2*a, -3*a - 3*u + 4 = o. Sort -2, a, 0.\nAnswer: a, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 281742381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21658 and 836332?\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 9. Let a be s(-9). Is a smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11463 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15175 - 13174?\nAnswer: -28360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7063.\nAnswer: 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 11712 = -4*t, 0 = -t - 4*d + 3192 - 282. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/7830 and 79\/7830?\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*m - 3 + 4. Let l = 13 - 11. Which is the biggest value? (a) l (b) m (c) -0.5 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ememhbqembe. What is prob of sequence qhbe?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2.8. Let l = -4 - -4.3. Let f = 333\/5 + -67. What is the closest to f in j, l, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -249, -22, -3 in increasing order.\nAnswer: -249, -22, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5}. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((3 - 13) + 3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -43. Let v = -37.93 + d. Let y = v + -0.07. Which is smaller: y or 1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339471241?\nAnswer: 339471241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6131?\nAnswer: 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24064480 and 31075?\nAnswer: 6215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 100 - 100. Let x be (2 + 925\/(-465))\/((-2)\/6). Is l at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w - 16. Let v(g) = -g + 8. Let b(h) = -4*i(h) - 9*v(h). Give b(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*y + 1 + 2*y + 5*y)*(-3 + 2 + 2).\nAnswer: 29*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 19 = -i - 4*l, -2*l - 12 = 4*i. Let d(g) = g**2 - g. Let s(p) = 8*p**2 - 6*p. Let t(f) = i*s(f) + 6*d(f). Let a(y) = 29*y**2. Give a(t(v)).\nAnswer: 116*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 9:55 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + (-6 - (-8 + 4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 1. Let z(x) = -x + 1. What is -4*m(f) + 7*z(f)?\nAnswer: -3*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 158886625 and 155.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b\/(b*b\/(b**(9\/4)\/b*b)*b)))\/(b*b\/(b*b\/(((b*b\/b**2)\/b)\/b))) assuming b is positive.\nAnswer: b**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4161)\/(-292) + 24\/9*(6 + -9)?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 1. Let l be y(-5). Let z(r) be the second derivative of -r**4\/12 - r**3 - 5*r**2\/2 + 9*r + 16. Determine z(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 444, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 163420, 163302, 163188, 163078?\n\"Answer: 2*j**2 - 124*j + 163542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10 = -6*s, -2*c + 3*s = 2. Let v(w) = w**2 + w + 148. Let d be v(0). Let g be (0 - c)*(-2)\/d. Which is bigger: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -88498? (a) 1\/5 (b) -5 (c) -249\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -174*t**5\/5 - 5*t**4\/12 + 5*t**2\/2 + 3*t - 37. Find the third derivative of m(f) wrt f.\nAnswer: -4176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jojo. What is prob of sequence oj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.37548 + -0.1.\nAnswer: 18.27548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 30 - 1 - -53 - 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 + 6 - -24) + (1 - (-11 - -65)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 10 - 0 - (-1 - -1). Let k(i) = i**3 - 2*i**2 - i + 0*i**2 - i. Let q(d) = d - d**3 + 9*d**2 - 1 - 3*d**3 + 8*d. Determine g*k(w) + 2*q(w).\nAnswer: w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8417227201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**3 + 2*w**2 - 6*w**3 + 2*w + 0*w**2. Suppose 10*a + 19 = 3*q + 15*a, 2*q = a - 9. What are the prime factors of k(q)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/210565 and -43\/12817?\nAnswer: 1473955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(1\/16))**24 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v = -34*v - l + 133, -2*l = -4*v + 130. Suppose -6*p = 15 - v. Solve w = -j + 2*w, -p*j - 3*w = -12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102) - ((sqrt(102)*3*-6 - sqrt(102)) + sqrt(102))))\/(sqrt(600) + sqrt(600) + 1*sqrt(600)).\nAnswer: -3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 1370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221022211110 - 10021?\nAnswer: -221022221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - m + 1. Let b be v(-2). Suppose 4*g = 3 - b. Let x(s) be the second derivative of 3*s**5\/10 + s**4\/12 + s**3\/6 + s**2\/2 - 124*s. What is x(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 13*a**2 + 2424*a + 112458. What is m(-100)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m - 55, 11*f + 31 = 13*f + 5*m. Factor 0 + 1\/3*z**4 - 2\/3*z**2 + 1\/3*z**f + 0*z.\nAnswer: z**2*(z - 1)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4355370 is divided by 4355365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y = 2*j + 9, 5*j + 2*y + 13 = 0. Let o(s) = -s + 3*s - s. Let t(f) = -f - 2*f - 2*f + 6*f. What is j*t(a) + 4*o(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/120 + z**3\/3 - 2*z**2. Let c be g(0). Let r = 1.1 + -1. Which is smaller: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/56)\/(192\/(-128)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*s + 6 = 0, 0*u = -2*u + s + 26. Let r = 9 - u. Which is the closest to 1? (a) -0.1 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002779856 rounded to seven dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 69, 254, 677, 1458, 2717?\n\"Answer: 20*w**3 - w**2 + 48*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5629 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + o**2 + 13. Let r be z(0). Suppose -6*m + r = 1. Solve -5*j + t = -9, -2*t = -m*j - 7*t + 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**2 - 19*v**4 + 3*v - 2*v**3 + 4*v**3 + 21*v**4 - 4*v**3 in the form m*v**2 + s*v**4 + o*v + r + b*v**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 694 and 63400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v - 22 = -2*m, -2*v = -2*m + 14. Suppose -m*a = a + 4. Let k = -2.29 - -0.29. Sort 2, a, k.\nAnswer: k, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 78, 142, 242, 384, 574, 818, 1122?\nAnswer: 1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.871474 millilitres in litres?\nAnswer: 0.002871474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-87 - 2 - 25*i + 68)*(0*i**3 - 3*i**3 + 2*i**3) to s*i**2 + b*i**4 + v*i + h*i**3 + p and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60\/22049377 + -632883103991\/60282996718. Let n = x + -2\/1367. Which is the nearest to 1? (a) 1\/5 (b) -0.5 (c) -5\/2 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 8.3. Which is the nearest to 0? (a) u (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2*k - 2*k + 76, -4*j + 2*k - 76 = 0. Let y = 250 + -277. Let i = j - y. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 15*g - 5. Let y(c) = 31*c - 11. Let u(t) = 5*f(t) - 2*y(t). Suppose -3*p = 5*v - 30, p - v = -p + 20. Is u(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -844*k + 12. Let s be x(0). Solve r = f - 9, -2*f - 4*r + 0*r = s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5356102 is divided by 315064?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -39.6*0.4\nAnswer: -15.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 3. Suppose 2 = 2*q + x. Calculate the remainder when 30 is divided by (-6)\/3*q + 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuk when three letters picked without replacement from kuuxkukk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 112, -6.\nAnswer: -6, 1, 5, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/14960 and 12\/1445?\nAnswer: 254320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**4\/8 - g**3 - 8*g**2. Let x(a) = -2*a - 5. Give -5*h(u) + 6*x(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*y = -y - 1176, -2*y + 583 = j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 25*l**3 - l - 21*l**3 + l**4 - l in the form o*l**2 + j*l**3 + n + f*l**4 + h*l and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469900 divided by 16?\nAnswer: 367475\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -156 + 428. Calculate the highest common factor of 51 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 16, 4*q - f = -4*f + 332. Calculate the greatest common factor of q and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 8\/1 - 1. Calculate the greatest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171834623?\nAnswer: 17, 37, 273187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 0*k**3 + 77\/4*k**4 + 0*k**2 - 69 - 56*k. What is the first derivative of h(j) wrt j?\nAnswer: 231*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81668935.\nAnswer: 5, 17, 19, 61, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240566 is divided by 99?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109383?\nAnswer: 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**2 + 1 + 2 - 3. Let z(p) be the first derivative of -p**2\/2 + 1. Give z(n(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1314 - 10362?\nAnswer: -11676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*(g*g**(-1))\/g)\/g*g)*g)**(4\/13)*(g\/g**(-2\/5))**47 assuming g is positive.\nAnswer: g**(4317\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 - 637\/9. What is the second biggest value in 2\/5, w, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464328 = -8179*a - 13742 + 604505 for a.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*q - 5*n + n, 0 = -2*q + n + 19. Let c be 10\/120*((-135)\/10)\/9. What is the closest to 1 in -0.5, q, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 24, 43, 64, 87?\n\"Answer: j**2 + 14*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*l = 16, -f - 2 = 635*l - 638*l. Let k = -1\/54 + -17\/54. Let d = 2.05 + -0.05. Which is the third smallest value? (a) f (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 155806, 623255, 1402350, 2493091, 3895478, 5609511?\n\"Answer: 155823*k**2 - 20*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 151 divided by 4\nAnswer: 151\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8562468647 + 8562565408.40879. Let u = -96759 + m. Let s = u + -2.41. Round s to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 32. Factor -1199*q**2 - 191*q**d + 121*q - 457*q - 178*q**2 - 18.\nAnswer: -2*(28*q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3992741478 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 - 5*p**2 + 4*p + 7. Let v be ((-3)\/6)\/((-43)\/(-6) + -7). Let i be x(v). Solve i*m + 29 = -3*u, 3*u - 2*u = -2*m - 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Suppose 2*v + 4 = 4*h, v + 5*h = q - 20. Let y(t) = -t**2 - 5*t + 3. Give y(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 + 4*h**2 - 3*h - 4. Let i = 23 + -32. Let r(z) = 5*z**3 - 9*z**2 + 7*z + 9. Let m(o) = o**2 - 8*o + 3. Let y be m(7). Give i*d(w) + y*r(w).\nAnswer: -2*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 5:56 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -5770.\nAnswer: 3\/2885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 796.1479s in milliseconds?\nAnswer: 796147.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a**2 + 2*a + 11. Let s(m) = -5*m**2 - 2*m - 10. Let o(k) = 6*c(k) + 7*s(k). Give o(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74620 by 1.\nAnswer: -74620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 7:45 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 262549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -5*f**3\/2 - 12*f**2 - 21*f + 1. List the prime factors of v(-19).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43*k**2 + 82*k - 8.\nAnswer: (k + 2)*(43*k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnplnhnpllnpluphlnp. What is prob of sequence ruln?\nAnswer: 25\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(12)*-4)*1 + 2)*-2.\nAnswer: -4 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91 - 79. Solve 1 = i - t, 6*t = 2*t + k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 2522*v**3\/3 - 133*v**2\/2 + 905. Find the second derivative of f(h) wrt h.\nAnswer: 5044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 6)*(5*q - 6 + 6)*(-3 + 2 - 2 + (-2 - 4 + 5)*(2 + 5 - 4))*(3*q - 3*q - q**2 + 2*q**2 + 2 - 2 + (1 - 1 - 3)*(-q**2 - q**2 + 3*q**2)).\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9 - -2. Let d = -8.2 + 8. Sort 1\/5, d, m in decreasing order.\nAnswer: 1\/5, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -36. Suppose 0 = -x*w + w + 10. Let q be (w + 4)\/2 - -3. Solve -q = 5*j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*(-16)\/(-24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -5. Suppose -i - i + 32 = 0. Let w = i + s. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*q**3 + 4 + 10*q**3 - 6*q - 2 to z*q**3 + h*q + r + f*q**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(98)).\nAnswer: -28*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 104 = -5*l + 69, 0 = -2*l + t + 69. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2. Let u(m) be the second derivative of -23*m**4\/12 - 11*m**2 - 25*m. Let x(k) be the first derivative of u(k). What is t(x(q))?\nAnswer: 2116*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 172*d**2 + 517*d - 4. Determine s(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 3*j**2 + 3*j + 178. What is o(0)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 23*d**2 - 22*d + 5. Let z be v(22). Let k(f) = -2*f - 26. Let j be k(z). Suppose 2*i + 162 = -4*t, 0 = 5*i - 7 + 32. Is j <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -235\/1743 - 2\/249. Suppose 4*r - 9 = 5*v, -19*v + 199 - 217 = r. Which is the nearest to 1? (a) v (b) 0.02 (c) -2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 130578, 261154, 391730?\n\"Answer: 130576*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000692 to six dps.\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 + 109. Let t be q\/4 + 4 + (-60)\/16. Suppose -2*h = -a - 195, -3*h + t*a = 5*a - 310. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 13\/24*t**4 + 0 + 8*t**2 + 0*t - 5*t**3. Differentiate o(d) with respect to d.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c + 13a?\nAnswer: 11e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*c + 208 = -307*c. Solve -4*g - t - 9 = -c*g, -1 = -3*g - 5*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136.9 - -29.1. Let r = -166.02 + v. Put 0.03, 0.4, r in descending order.\nAnswer: 0.4, 0.03, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -34. Let d be s\/(-12) - 0\/(2\/(-2)). Factor 0 + y**2 - d*y**3 - 2\/3*y.\nAnswer: -y*(y - 2)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 439 - 434. Solve -s + 0*s = n + 1, k*n = -4*s - 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.3 + 2.3. Let m be (-15)\/9 + 1*2. Let k(u) = u**2 - 5*u - 8. Let s be k(6). What is the nearest to a in 3, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/1431*(-180)\/70?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1224 divided by 6\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 673\/4 - 168. Which is the nearest to -2\/5? (a) -4 (b) -1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z. Let j be t(1). Let r = j - 5. Let i(n) = -n**3 + n - 6. Determine i(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14721.93 plus 0.2?\nAnswer: -14721.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(70) + 2*(sqrt(70) + (-1*sqrt(70) - sqrt(70)) + sqrt(70) + sqrt(70) + sqrt(70)))\/sqrt(7))\/(-5*3*(sqrt(98) - sqrt(98)*2)).\nAnswer: 5*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(190) - sqrt(190))*1 - (sqrt(190) - 2*-2*sqrt(190)))*3)\/(-4*(sqrt(640) + -2*sqrt(640) - sqrt(640) - sqrt(640)) + sqrt(640)*-1*6 + sqrt(640)).\nAnswer: -15*sqrt(19)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000093932 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 58, -4, -2\/23, -2, -3, 10, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*q**4 + 17*q**4 - 29*q**4 + (-q**4 + 0*q**4 - q**4)*(-4 + 5 + 1) + 0*q**4 - 2*q**4 - 3*q**4.\nAnswer: -11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 11:46 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - s + 565, -3*s = -5*d + 1403 - 18. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*c - r + 26, 0 = -3*c - 5*r + 52. Solve -c*d + 19*d = -50 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -805*h - 937. What are the prime factors of s(-6)?\nAnswer: 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 385 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a century in years?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9078740.\nAnswer: 2, 5, 11, 29, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/(56\/(-714))*10. Is n at least as big as -254\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 2)*(-1362 + 1952 - 12992) + (6 - 4 - 1)*(1 - 2 + 3))*(3*z - 2*z + z).\nAnswer: 49612*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**3 - 2*a**2. Let y(x) = 10*x**3 + 6*x**2. Let o be (-9)\/3 - -9 - 2. Suppose 3*n = -5*q - n - 22, -5*q + o*n + 2 = 0. What is q*y(u) - 7*j(u)?\nAnswer: u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mamaaamaaa. What is prob of sequence maa?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/sqrt(11)*5 - (sqrt(1573) + 0).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -10 + 17 - 9 + 7*z - z**2. Suppose 5*j - 440 = 15*j. Let l = 47 + j. Determine t(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92420*d - 46210*d - 46203*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 16 = -4*g - 8, 40 = 5*n - g. Let q(f) be the second derivative of f**4\/3 - 3*f**3\/2 - 7*f**2\/2 - 3*f. Is q(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9408*g + 9409*g - 5*d = 36, 0 = 2*g + d + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Let h = 0.009353 - 2.009353. What is the closest to z in h, 0.1, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1075 - 1708. Let r = y + 1149. Is 43 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.72316 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-85)\/(-20) + (-6)\/(-8). What is the nearest to 0.1 in 1\/3, 0.01, a?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3597742 * -4.\nAnswer: 14390968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 q when four letters picked without replacement from {v: 7, q: 5, z: 2}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*b = 23 - 103 - 130 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(304))*3 - (sqrt(304) - (sqrt(304) + 1)*4))**2.\nAnswer: 48*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/6)\/((m*m**(-16)*m)\/m))**(3\/8))**(-19) assuming m is positive.\nAnswer: m**(-1729\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - -12. Let v = l + -23. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 85897?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 3*s - 4. Let n(y) = y - 1. Let g(x) = 3*x**2 - 5*x + 8. Let r(f) = -g(f) + 5*n(f). Calculate -7*k(w) + 2*r(w).\nAnswer: w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 816 = -28. Let b be 6 + (0 - 7679\/42). Let l = d + b. What is the common denominator of l and 2\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -331\/9 - -37. Let z = 1.2 - -4.8. Let f = 3148\/13 - 242. What is the closest to a in f, 5, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 - 44156*y - 1146710. Determine n(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11*t**2 + t. Let g(z) = -32*z**2 - 3*z. Let q = -9 - -3. Let y(n) = q*g(n) - 17*w(n). What is the second derivative of y(c) wrt c?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -184 + -19?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 21*c = 1584. Find the second derivative of -31*d + 43*d - 166*d**5 - c*d wrt d.\nAnswer: -3320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*l + 8, -3*w + 4 = 5*l - 0. Suppose 2*f = -0*f - 3*n + 41, 2*n = l*f - 46. What is the least common multiple of f and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 42 + 50 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7415594 or 7415592?\nAnswer: 7415594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 53?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 12460?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16519 is divided by 50.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 110100110111010010001?\nAnswer: -110100110111010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a - a?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 679 - 398. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 46 - 32 - -22\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*1*(((-2 + sqrt(605))*3 - sqrt(605)) + sqrt(605))*-4)**2.\nAnswer: -912384*sqrt(5) + 12628224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 268 = -5*g + 263, 0 = g - 3*m - 3. Solve -3*f - 15 = 3*x - 8*f, -x + 2*f - 5 = g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3483 + 3707. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*w + 104*w = 24 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1416?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*n = -0 + 10, 4*n = 2*o - 20. Suppose -5*v - 2*l + 100 = 0, 3*v + 5*l - 41 = -o*l. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35469, 141993, 319549, 568137?\n\"Answer: 35516*b**2 - 24*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17399 + -10878. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + 53 + -38?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 895 = -2*s, -3*p = 5*s + 331 - 2621. Suppose 5*n = -10 + s. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*n + 5*n. What is the units digit of (n\/5)\/((-10)\/(-225))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -121*s**4 + 297*s**3 - 240*s**2 + 64*s = 0.\nAnswer: 0, 8\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b - 97 + 5 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31338 - -31340. Solve 23 = -t*w - 5*m, -666*w = -667*w + 5*m + 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 55. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -74273178*p + 88427301?\nAnswer: -74273178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191 = -32*z - g, 19 = 4*z - 13786*g + 13791*g for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4678400 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -4e630?\nAnswer: 4e62e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 184.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*y - 366*y = -3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 - 382 = -3*o. Is 48 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -92.98 to the nearest integer.\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2 - 4*y + 2*y - 6 - y - 2. Let j(t) = 5*t**2 - 4*t - 9. Calculate 3*j(p) - 4*v(p).\nAnswer: -p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 105*d + 18. Let q be r(2). Let p = -134 + q. What are the prime factors of p?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 2*u = -18454 - 16339. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 20 = -0. Does 31 divide (-14)\/(-8)*(64 + g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -245*m - 708. Does 97 divide t(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 15. Let j = v - -1. Let t = -2.8 - j. Which is the nearest to t? (a) -4 (b) 0 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 1653.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3963687 less than 3963751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8878*x**2 + 4 - 1682*x**2 - x**3 + 10560*x**2.\nAnswer: -x**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x + 2. Let u be l(3). Suppose 4*j - u = -2. Suppose -2*d + 50 = j*d. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 901304185*h**2 + 1098995583 wrt h.\nAnswer: 1802608370*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5125727140 to the power of 1\/2, to the nearest integer?\nAnswer: 71594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -65485 + -3eb?\nAnswer: -65881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 2. Let i(g) = 6*g - 8. Let j(u) = -i(u) + 4*k(u). Let d(o) be the second derivative of 0 + 0*o**2 - 2*o - 7\/12*o**4 + 0*o**3. What is j(d(z))?\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -47*a. Let b(p) = 2915*p. Give b(v(q)).\nAnswer: -137005*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/4)*h\/h**(2\/19))\/(h*h**(-1\/4))**(1\/4))**(-12) assuming h is positive.\nAnswer: h**(-1329\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 402*m + 5. Let k be (1 + 2\/(-6))\/(2\/6). Is u(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20231131 (base 5) to base 4\nAnswer: -220022331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22334 (base 5) to base 15\nAnswer: -714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*x + 2*x. Let f(z) = -2*z**2 - 5*z + 5. Let n(k) = k**2 + 4*k - 4. Determine x*f(q) + 5*n(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7202.526 + -7207. What is h rounded to 1 dp?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -5.\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -30302203 (base 4) in base 11?\nAnswer: -363a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 721435.41s?\nAnswer: 200.398725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 418*v - 849. Give k(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -42*j + 43*j + 384, -5*u + 2*j - 387 = 0. Let f = 128 + -45. Let n = u + f. Solve 4*m = n - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 3, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -545, -4176, -13741, -32114, -62169?\n\"Answer: -479*y**3 - 93*y**2 + y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/7)\/((i**(-13\/7)\/i)\/i) assuming i is positive.\nAnswer: i**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4254.749993 + 4254.7. Let u = g - -0.05. Round u to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + f + 28 = 3*s - 13*f, -2*f - 24 = -2*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 64 + 10 + (-17 - -29).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/8)\/(17\/578). Solve 2*w - m = 5*n, -4*w = n - 8 + 29 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65135 and 55020.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 - 17. Let l = -111 + u. Let o = l - -47.0000054. What is o rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8581442435771 + 5.\nAnswer: 8581442435776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56601 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 h be 124\/44 - 4\/(-22). Suppose 0 = -3*d + 3*k, 0 = 4*d - 0*k - 5*k + h. Let t = -38 + 39. Solve t = -d*n + 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z + 19. Give b(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p\/((p*p\/(p**(-2\/53)\/p)*p)\/p))\/p)))**(-9\/7) assuming p is positive.\nAnswer: p**(207\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a = 118 - 424 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 + 58*k. Let v(l) = -964*l. Give m(v(d)).\nAnswer: 2787888*d**2 - 55912*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/5 (b) -1\/4 (c) 7\/2 (d) 5 (e) 3 (f) -9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Which is the biggest value? (a) m (b) -17 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 4, 4946, -4 in descending order.\nAnswer: 4946, 4, -4, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/(-168) - (-3 - 36\/(-16)))\/(9\/(-144))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-12 + 2 - -4) + 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 + 2. What is the third biggest value in w, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**6 + 17128*q**4 - 3*q**2 - 30*q - 107 wrt q.\nAnswer: 120*q**3 + 411072*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35830 + 2364937\/66. Calculate the common denominator of 131\/30 and q.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1596057 and 0.04.\nAnswer: 0.1996057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6188 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(-6*(-9)\/(-891)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -5, -0.06, -102\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 571355 <= 146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1991, -36, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + (32 - 21) - -1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) - sqrt(252)\/(sqrt(24)\/sqrt(4)))\/sqrt(6)*-4 - (((2 + sqrt(567))*-2)**2 + 5*(sqrt(567) + 1 - sqrt(567))).\nAnswer: -2289 - 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000661 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9321, -9232, -9143, -9054?\n\"Answer: 89*d - 9410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*h**2*v**3 + h**2*v**2 + 140*h**2*v - 4880*h*v**3 + v**3 + 5*v**2 wrt h?\nAnswer: -74*v**3 + 2*v**2 + 280*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 + -1003222?\nAnswer: -1003102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzzpppzepzz. What is prob of picking 3 p and 1 e?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5)**(-5)*(s**(-1\/19)\/s)**(-1\/19))**(-27) assuming s is positive.\nAnswer: s**(243135\/361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15661, 31297, 46965, 62665, 78397?\n\"Answer: 16*v**2 + 15588*v + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6057 or -4444\/19?\nAnswer: 6057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 254212806 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-29 - -7 - 0) + 10 + -15?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - 3\/(-153)*175. Let n = x - -4\/17. What is the third biggest value in 0.2, 2, n, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 11*r. Solve 4 = 4*l - r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 895116*b**3*g**3 + g**3 + 2*g**2 - 5*g + 4774 with respect to b.\nAnswer: 2685348*b**2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712695142 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m + 798 = 3*m - 0*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 492\/32605 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(162) - (-2*sqrt(162) + sqrt(162) + sqrt(162))).\nAnswer: sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-55)\/(990\/(-12)))\/((-1)\/(662523\/(-2))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 104 = g. Let c be -7 - (-1 - (-2 - g)). Solve -8*x - 4 + 20 = c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1\/8, 2, 127?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7609840061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42.3 + -0.3. Let n = -38 + y. Let u = -2 - -2.4. What is the third smallest value in n, 2, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 0.142, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7113*z**3 + 6025*z**2 + 4. Let x(v) = 7117*v**3 + 6025*v**2 + 6. Let c(w) = 3*l(w) - 2*x(w). Find the third derivative of c(i) wrt i.\nAnswer: 42630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4230040 divided by -14.\nAnswer: 2115020\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26998 - 265*k**3 + 26998.\nAnswer: -265*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/42)\/((-3)\/(-9)) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/413335 and 1\/57231.\nAnswer: 3720015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*i*j**3*n*s - 23*i*j**2*n*s + 2*i*j**2*s + 5*i*j*n*s - 2*i*n*s + i*n + 4*i + 2*j**3*n*s - 3318*j**3*s wrt j?\nAnswer: -42*i*n*s + 12*n*s - 19908*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, -113, -1\/4, -0.5, 4, -91, 1?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30050, 60098, 90146, 120194, 150242?\n\"Answer: 30048*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47337aa - 8?\nAnswer: 47337a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1131*c - 2248. Give i(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -37 - (-14 - (98 - 126)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/((-24)\/30)*2\/(-5). Sort z, -1, 4, -4 in descending order.\nAnswer: 4, z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75175 and 108931.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -443 + 418. Is -1002*(q\/(-6) - 8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + o - 2*o)*(-4 + 4 - 2*o)*(43*o**2 - 18*o**2 + 26*o**2) + 0*o + 0*o + o**4.\nAnswer: -203*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4395602643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**2. Let u(s) = -29*s**2 - 7*s - 1. Let j(r) = -u(r) - 5*w(r). Give j(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**4\/12 - 5*r**3\/3 + 30*r**2 - 2. Give t(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bauacagnbngu. Give prob of picking 2 b and 2 n.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + l. Let f be w(2). Let j = 161 - 802\/5. Let x = -18 - -17.6. What is the third biggest value in x, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + (-1)\/5)*(-10)\/2. Solve 0 = -4*g + t + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35385 - -108280. List the prime factors of f.\nAnswer: 5, 61, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4*(-64)\/8)\/(46\/(-1))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = 3*v - 2*p - 2, 0 = -v + 2*p + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -4\/13*v**2 - 175 + 2\/39*v**3 + 8\/13*v. Factor a(b).\nAnswer: 2*(b - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 - 92. Let m(h) = -2*h**3 + 3*h**2 - 5*h. Let u(t) = 2*t**3 - 3*t**2 + 4*t. What is c*m(v) + 5*u(v)?\nAnswer: 2*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 72*s + 60. Let d be c(16). Suppose 7*z - d = -5*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*v - 4*v = 30, 2*v = 10. Suppose -11 = q*i + 49. Let m be (362\/(-6) + -1)\/((-2)\/i). What is m rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2319 - 1877 = -937*r + 489 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 66\/(-2002)*-20*351\/54\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -146*v**3 + 166*v**2 - 36*v - 16. Let d(m) = -29*m**3 + 33*m**2 - 7*m - 3. Let g(z) = -16*d(z) + 3*k(z). Find r, given that g(r) = 0.\nAnswer: 0, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 77\/(-330)*-6.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 5)*(j**2 + 0*j + 0*j) + (-4*j + 2*j - j)*(94 + 15*j - 94) to v*j**2 + d + z*j and give v.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) -14 (c) -2 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -3)*(3 - 5\/2). Suppose 0*j = -j + 10. Let k be j*(15\/6 + -3). Put y, k, -2 in decreasing order.\nAnswer: y, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 12*x - 9. Let b(k) = 2*k**2 - 6*k + 7. Let u be b(4). Let o = 5 + 0. Solve z + z - u = -o*n, x = n - 4*z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -24235.\nAnswer: -24235, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 2*s - 0*h - 2*h, 354 = 5*s - h. Let k = 145\/2 - s. Which is smaller: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658815 is divided by 28643?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -31 - (14 - 14) - 5) + -8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32480784 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 10:18 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-16))\/(36\/(-96)))\/(-1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1763448, -14106789, -47610148, -112853535, -220416960?\nAnswer: -380880433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)\/(sqrt(10)*-2))**2 - (sqrt(136)*1)\/sqrt(8) - ((sqrt(85) - -2*sqrt(85))*6)\/(sqrt(5) - (sqrt(5) + (sqrt(40)\/sqrt(4))\/sqrt(2))))*3.\nAnswer: 51\/4 + 51*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1687764074 and 3.2.\nAnswer: 1687764077.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*z + 53*z - 287*z + (2 - 5 + 2)*(2*z + z - 4*z) to the form o*z + p and give o.\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 357421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from ylhyl?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 4*i**2 + 260. What is the least common multiple of f(8) and 1074?\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 89 = -15*d - 11, 0 = -3*d + 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.62762g to kilograms.\nAnswer: 0.07462762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sos when three letters picked without replacement from oososossososs.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 633379415 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40\/10 - (-4)\/(-1). Suppose x - 6 = 4*j, m = 2*x + x - j + 15. Let y(i) = 3*i + 51. What is the least common multiple of 9 and y(x)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10167 = 415*t - 13903 for t.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-1)\/3 + (-119)\/(-21). Suppose r*t + 4 - 9 = 0. Let j(z) = -26*z - 32*z + 57*z - z**3 + 2 + t. Determine j(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 91*r**3 + r**2 + 1. What is i(1)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3608089 nanograms to kilograms.\nAnswer: 0.0000000000003608089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0. Let v = f + 0.1. Suppose 2*r + w - 19 = -17, -2*w = 2*r - 2. What is the fourth biggest value in v, -0.5, 1\/6, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234345.8 times 0.06?\nAnswer: -14060.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1053696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34.8 + -35.5. Which is the nearest to i? (a) 0.5 (b) -39 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005331362 rounded to six decimal places?\nAnswer: -0.000533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 11:23 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 - -2 - (-6)\/(-21). Let j be 5\/((-10)\/30 + n\/(-3)). What are the prime factors of (j - 0)*(-168)\/40?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312030200 (base 4) to base 6.\nAnswer: 4431412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 2:30 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 1:21 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.00685? (a) 4 (b) 0.3 (c) 0.304\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 3*s = -33, 0 = -5*t + 5845788*s - 5845786*s + 34 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1364\/5 + -272. Factor -a*g + 2\/5*g**2 + 2\/5.\nAnswer: 2*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-1)\/((-51)\/(-1020)*15\/(-2)).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/1 + 5)\/3. Let g be (3 - o)\/6*(-419075)\/150. Let t = g + 931. Which is smaller: t or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 + 5.5. Let m = p + -4.2. Let v = -93.4 + 93. Which is the nearest to -2\/5? (a) v (b) m (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**7\/21 - 2*y**4 - 17*y. Find the third derivative of x(h) wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 10 = 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w - 36*w + 2*w.\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t\/(t**(2\/9)*t))\/t)\/t)\/t**(-2\/5))\/(t**0)**(-46))**(-6\/13) assuming t is positive.\nAnswer: t**(164\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 31\/(-2)) + (-11)\/(-22). Solve -5*b = g + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6 - 9 - 23 + 7*y - 3. Give i(10).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 12:32 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -112 (c) -3\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 11. Let j(n) = n - 1. Let o(h) = 10*h - 9. Let l(t) = u*j(t) - 4*o(t). Suppose -6*d = -0*d + 6. What is l(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20060288 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100*l**5*t**3 - 2*l**4*t**3 + l*t**3 - l*t + 4*t**3 - 9 wrt l.\nAnswer: 2000*l**3*t**3 - 24*l**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5699769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-20))\/(39\/(-4))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m - 2*m + 2*m)*(-2 + 0 + 1)*(2 + 14 + 3) to the form o*m + r and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18894773? (a) 0.2 (b) 2\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 23*a. Let p(l) = -37336*l. Give p(z(o)).\nAnswer: -858728*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13280 and 514168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 1. Let n(j) = -2*j + 4. Let a be n(0). Let m(t) = t - 2. Determine a*g(o) - 3*m(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -7*s**4\/4 + 11*s**3\/3 - s**2 + 9*s - 2. Let o(b) = -3*b**3 + 5*b**2 - b + 4. Let g(v) = 5*o(v) - 2*p(v). Calculate g(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 14*d**2 - 12*d - 1. Suppose 37*g = 38*g + 5*k + 28, 5*k + 67 = -4*g. Determine r(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/24*765\/(-102)*3\/20.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9476124 and 1085079.\nAnswer: 3489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4 - 3. Let t be 7 + -9 + -1 + v. Let o be t\/(3*(-4)\/18). Solve -6 = 5*j - o*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/37 (b) -1 (c) 2 (d) -5 (e) 4\/7 (f) -89 (g) -2\/1457\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - -215. Suppose -231*v + y*v = 6. Sort v, -12, -4.\nAnswer: -12, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 813, 3274, 7371, 13098, 20449?\n\"Answer: -i**3 + 824*i**2 - 4*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 - 22*p + 22*p + 23*p**3 - 155*p**3 - 39*p**3 + (p - p - 2*p)*(2*p**2 - 3*p**2 + 0*p**2) in the form m*p**2 + a + w*p + y*p**3 and give y.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 225003, 900110, 2025317, 3600624?\n\"Answer: 225050*n**2 - 43*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4 = -3*c, -3*c - 16 = -2*u + 4*u. Is 5 a factor of (5 - 1) + 8 + c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.92 + 0.08. Let a = -10 + s. Suppose 5*h + 0*h = 10. Is h less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.5 in -3\/2, -4\/7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1596168502 to the power of 1\/2, to the nearest integer?\nAnswer: 39952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (267\/(-60) + (-1584)\/(-360))*(-18)\/36\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1040*m - 2828. Let y(x) = 416*x + 1131. Let p(u) = -5*i(u) - 12*y(u). Find the first derivative of p(z) wrt z.\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31.6 + 30.6. Let x = -6.11 - -0.51. Let s = 6 + x. Put 2, s, j, 5 in decreasing order.\nAnswer: 5, 2, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u = 24*u. Let h = -49 + 51. Let t = 755 - 18878\/25. What is the third biggest value in t, h, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (15 - (-13 + 34)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -p - 3*u + 5, 17 = -2*p + 11*u. Suppose 7 + 2 = -m. Sort m, -1, p in increasing order.\nAnswer: m, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 51 = 3*d, -d + 29 = -4*g - 3. Let i = 67 - -185. Suppose 5*j + i = 3*y + j, 3*y - 252 = 2*j. Calculate the greatest common factor of y and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, -23, -235, -657, -1361, -2419, -3903?\nAnswer: -5885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 550 and 5995.\nAnswer: 59950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 2*s. Suppose n - 2 = s, -3*n + 4 = -3*a + 2*n. Suppose a = l - 0*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/13? (a) -7 (b) 0.1 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7928238 and 125133?\nAnswer: 2361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25977, 104042, 234211, 416496, 650909, 937462, 1276167?\nAnswer: 1667036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (49 - 126 - 233)*(2 + s - 17 - 7) as u + d*s and give d.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*y - 3060 = -204*y - 360*y + 369*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -1. Find the third derivative of c**4 + c**4 + 0*c**2 + v*c**2 - 4*c**4 wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 49\/4292093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 160*x**3 - 23*x + 17. Let v(i) = 53*i**3 - 8*i + 6. Determine -6*m(k) + 17*v(k).\nAnswer: -59*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -14575\nAnswer: 14575.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2850 - 2834. Let g = -473 + 793. Suppose 0*z = -5*z + g. Calculate the greatest common divisor of z and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-29))**(-50)*y\/y**(-14)*y*(y*((y*(y\/(y**(-38)\/y))\/y*y*y)\/y)\/y)\/y*y assuming y is positive.\nAnswer: y**1457","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:41 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3 + 3*j**3 + 6*j**4 - j**3 + 17*j - 15*j to m*j + b*j**4 + o*j**2 + l + a*j**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 126100?\nAnswer: 1387100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433*m - 13271 = -2*w - 432*m, 2*w - 13268 = 4*m. List the prime factors of w.\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(60)\/((sqrt(12) - sqrt(108))*-6) + 2)*2 + 0 + -3.\nAnswer: -7 + sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17\/((-119)\/63) - -278?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 2*f + 18, 3*f + 4*y + 17 + 15 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*-1 - (sqrt(77)*2 - sqrt(77))*6)\/(sqrt(448) + sqrt(448) + (2*sqrt(448) + sqrt(448) + sqrt(448))*6 + sqrt(448)).\nAnswer: -7*sqrt(11)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9838 + -3051. What is the thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -19\/10996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27473084209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1.05, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.555428 litres?\nAnswer: 555.428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -628301, -628373, -628445, -628517, -628589, -628661?\n\"Answer: -72*r - 628229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 8518729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 866018 and 1522?\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10) - 1\/35. Let u = -2609 + 2609. Which is the biggest value? (a) k (b) u (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 916 = 3*v + 3*s - 5*s, 4*v + 2*s = 1226. Suppose -309 + v = -y. Solve 0 = -y*k - 5*u - 0*u + 4, 5*k = 3*u - 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + m - 3*m + 2396 = 0, c - 594 = 2*m. Let b = c + -258. What are the prime factors of b?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -118\/117 - -16\/13. Is g less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 1028*m**2 + 132431*m - 3562. Give v(877).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-8 - -6 - (-11 + 8 + 0)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -3\/4, 208?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-16617)\/(-4))\/3 + 16\/64?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1377636052?\nAnswer: 2, 13, 397, 66733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -2. Let n be (2\/3)\/(z\/36). Solve -5*m + 2*q = 2 - n, 0 = q - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -294618, -589241, -883858, -1178469, -1473074?\n\"Answer: 3*s**2 - 294632*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 16*j**2 + 31*j**2 - 18*j**2 - 2*j**3 - 4*j**4 - 14*j + 0 + 2*j**4 to the form x*j**4 + d*j + t*j**2 + z + c*j**3 and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1*sqrt(304) + 2 + 0)*3 + 3)**2.\nAnswer: -576*sqrt(19) + 3312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.23 - -2.17. Let t = l + -10.4. Let r = -8.08 - t. What is r rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111198857 a multiple of 2313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = f - 2. Let g = 17 - f. What is the greatest common divisor of g and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y + 6. Suppose -267 = 8*b - 203. Calculate z(b).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(6\/11)\/(c\/(((c**(-1\/13)\/c)\/c)\/c))*c**(-2\/3)\/c**4)**(-3\/4) assuming c is positive.\nAnswer: c**(3517\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 328*b - 17. Is x(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -13*z + 3. Let y(v) = -v + 619 + 8*v - 621. Let x(o) = -3*n(o) - 5*y(o). Let l(q) = 2*q + 17. Let a be l(-9). Give x(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - r + 2*r**2 - 2 + 13*r**3 - 10*r**3 as n*r**3 + k + q*r**2 + c*r and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 1, m: 1}. Give prob of picking 1 m and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2380, 9367, 21036, 37381, 58396, 84075, 114412?\nAnswer: 149401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 917125 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j - 4*j + 3*j)*(-1 + 3 + 0) + 2*j + 3*j - 3*j to c + n*j and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/34, -52.2, -0.3, -62?\nAnswer: -52.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 244070036 or 244070035?\nAnswer: 244070035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owyyw. What is prob of picking 1 o and 2 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1680, -3377, -5098, -6843, -8612, -10405, -12222?\n\"Answer: -12*f**2 - 1661*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-124554)\/(-2))\/((-7)\/(-18 + 12 + -1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32043193?\nAnswer: 7, 13, 352123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16646 = 10*f - 0*f - 19874. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 49551\/(-140) + 2\/7. Let u = i - -356. What is the common denominator of 2814\/(-56)*(-2)\/24 and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 198, -5 in descending order.\nAnswer: 198, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 14*f - 30. Let q be r(-9). Calculate the highest common factor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 5*u**2 + 3*u - 3. Let j be q(3). Let h be j*2\/(-12)*15\/10. Let l be 9*(10\/h + -3). What is the third smallest value in 2\/13, 0.06, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498773060.\nAnswer: 2, 5, 359, 69467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Suppose 335 = 5*f - 6*p + 4*p, s = -3*p - 15. Calculate the remainder when f is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21842 and 8.\nAnswer: 87368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5524188 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: -1459098973553 - -4\nAnswer: -1459098973549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f + 2. Suppose 14*b + 0 = -82 + 362. What is the remainder when b is divided by x(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*v = -3445, -701 = -4*l + 3*l + 3*v. Let p = l - 429. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - -1*sqrt(21)\/sqrt(3)) + -4*sqrt(14)\/sqrt(2).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 7. Suppose 5*i = -5, 0 = u + f*i + 6 - 1. Suppose -p = 3*z - 161, -2*p = -3*z - u*p + 173. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1167563?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -14. Suppose 0 = -g*m + 4 + 4. Solve -13 = -j + 5*s - s, 5 = j - m*s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*s + 8*s + 1868. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6258 = -10*b + 14898. Are 865 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98403286+-0.5\nAnswer: -98403286.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7129634.\nAnswer: 2, 3564817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 231 or -1\/4?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-4)\/216 + 11544\/(-209790)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 57*o + 1. Let h be v(2). Suppose 0 = -3*f + s + h, f - 5*s = 2*f - 49. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/14)\/((-47)\/(-329)). Solve s - g = 7*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 164184449 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 429 + 211 + 0*r**2.\nAnswer: r**2 - 218","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c + 2. Let i = -1 + 3. Suppose 4*s = -z - 10, z + 14 = i*z - 4*s. Suppose 2 = z*t - 14. Let j(v) = 3*v - 3. Determine t*f(l) + 5*j(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-20) + 246\/(-820). Let j(y) = y**2 + y + 2. Let d be j(0). Solve b - 17 = 5*k, -5*k + b - d*b - 23 = p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 0.2, -2\/9, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b + 5*b)*(-2*b + b**4 + 2*b) + (0*b**2 - 3*b**2 + 5*b**2)*(6*b**3 - 2*b**3 - 5*b**3).\nAnswer: 3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/15*h**3 + 2\/15*h + 0*h**2.\nAnswer: -2*h*(h - 1)*(h + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1058714 is divided by 352819?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m. Let s(j) = 3*j**2 - 63*j + 19. Let k(h) = 6*h**2 - 134*h + 47. Let n(b) = -2*k(b) + 5*s(b). Determine l(n(x)).\nAnswer: -6*x**2 + 94*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a century in years?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*i**2 + 358*i**2 + 602*i**2.\nAnswer: 1071*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1032821 to 3 dps.\nAnswer: -0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4 = -3*o + 42, 2*o = 2*b + 20. Let g = -18 + 29. What is the lowest common multiple of o and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 0.9, 3\/4, 7, -30 in descending order.\nAnswer: 7, 0.9, 3\/4, -3, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 46 = 3*n, 4*n - 2*n - 2*x = 52. Suppose t - n = 22. Suppose 11 = r - t. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1020336 and 66?\nAnswer: 11223696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -505 - -494. Find the common denominator of 47\/30 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140405 divided by 28081.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6 - 2*r**3 + 11*r**2 + r**3 + 2*r**3. Does 3 divide u(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1044 and 52.\nAnswer: -54288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-21)*(-21)\/(-30). Which is bigger: b or 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/4)\/(1*(-3)\/(-8292)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-86)\/2)*(-1)\/(-6) - -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 18*o**2 + 73*o - 2. What is x(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*p + 85*p + 1265 = -698 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {a: 2, i: 1, e: 1, u: 1, m: 1, f: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36706465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27071.\nAnswer: 11, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 75 = 5*t. Let f be 10\/15*t\/6. Suppose -i = f*i - 6*i. What is the smallest value in i, -4, -1\/4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 3*u**5\/20 - u**4 + 5*u**3\/2 - 3*u**2 + u. Factor a(q).\nAnswer: 3*(q - 2)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 4 - 3)*(-d**3 - d**3 + 3*d**3).\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 1. Let k be (164\/123)\/(2*(-1)\/126). Let x(y) = 21*y**2 + 84*y - 84. Give k*b(v) + x(v).\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(20\/6)\/5. Suppose -5*q - 333 = -5*y + 182, p*y + 5*q = 403. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-5)\/c)\/(c\/c**(-3\/8))*c**(-1\/2)\/c*c**(-2))**(-24))**(-1\/12) assuming c is positive.\nAnswer: c**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 217789 and 217922 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18298.\nAnswer: 2, 7, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 18 = -5216502*r + 5216501*r, -4*r + 32 = 2*u for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1046 and -92105991993.\nAnswer: -92105991992.8954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/10 and -1\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 59*o. Let b(m) = -7*m**2. What is u(b(k))?\nAnswer: -413*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -48 + -1d?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*l = 3007 - 82914, 4*r = -l + 79889. Let q = -7218 + r. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26787*n = p + 3*p - 26788*n - 4, 5 = 5*p - 2*n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37\/7 + 155\/28. Let f(t) be the second derivative of -9\/20*t**5 - k*t**4 - 10*t + 3*t**2 - 1\/10*t**6 + 0 + 3\/2*t**3. Let f(x) = 0. Calculate x.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 8*n + 208. Let a be u(19). Sort -165, -2\/5, a in ascending order.\nAnswer: -165, a, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 5 - 4)*(3*w + 0*w - 5*w) - w + 0 + 0)*(0 + 4 + 0)*(2*w + 4*w - 4*w) to the form f*w + o*w**2 + v and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/9 = 32828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416005 is divided by 1470.\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 113376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 1512 = -3*s, 913*s = 5*v + 915*s - 1890. What is the remainder when v is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2277967349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 1.09 (c) 239\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7359335 to the nearest integer?\nAnswer: 2713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51814, 103478, 155156, 206854, 258578?\nAnswer: 310334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -256 (base 15) to base 10\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(-6*sqrt(12)*2 - sqrt(12)).\nAnswer: -sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f - 16. Let s be p(9). Suppose l = 5*y - 35, -5*l - s = y - 1. Solve -4*u - y = 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(156) + (6*3*sqrt(156) - sqrt(156)) - sqrt(156))*2)\/(-2*sqrt(12)*2*1*2).\nAnswer: -85*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - (-50 + 34)) + -1 + 1 + -7\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*q = -18211 + 13635 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71046286 is divided by 2579.\nAnswer: 2573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, i: 2, j: 5}. What is prob of sequence ijj?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 7:15 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000069226 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -39500 less than -23234384?\nAnswer: -23194884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) - (0 + 1*sqrt(363)) - sqrt(363) - (-4*(sqrt(3) + sqrt(48)) + -5)**2.\nAnswer: -1225 - 211*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 235 = -91 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3509.0385 - 3510. Let p = -58.96074 - h. Let n = p - -58. Round n to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 153153?\nAnswer: -153150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3566? (a) -14 (b) 17 (c) -1 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/10 + 3)\/((-42)\/(-3808)). Suppose 67*k - 136 = 63*k. Calculate the greatest common factor of k and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96529*p = 92996*p + 268508 for p.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4064594 rounded to the nearest one thousand?\nAnswer: 4065000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3224\/51 - -190\/3. Let g = -8.4 + 8.1. Which is the closest to 0.4? (a) g (b) -1\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69*17.\nAnswer: -1173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1235\/444 - 17\/148. Determine k so that -10\/3*k + g + 2\/3*k**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 244.2 - 217. Let j = o + -25. Let a = j + -2. What is the smallest value in 2, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 0*z + 15, 0 = 2*j - 5*z + 67. Let m = j - -26. Let y = -159 + 138. Which is smaller: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 - (-4 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10120 - 10036. What is the smallest common multiple of d and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3 + 0*k**3 + 12*k - 26*k**2 + k**3 - 27*k**2 + 36*k**2. Determine r(16).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -10*c - 66. Let u be a(3). Let y = 175 + u. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 6*b - 6. Let p be n(6). Suppose -2*a + 0 + 6 = 0. What is the second derivative of -a*k + 66 - p - 2*k**2 wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 67082, 94, -2, 6 in ascending order.\nAnswer: -2, 6, 94, 67082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 109 = -4*a, 3*a + 5*w - 90 = -0*w. Let y = -5 - 12. Let h = a + y. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893198795 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**3\/6 + 13*q**2\/2 - 10*q. Let x = -3 + 10. Determine s(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f. What is the remainder when 8 is divided by s(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - -1121202001?\nAnswer: 1121201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2)*a**(-2\/9))\/(a*a\/(a\/a**0))**40*a**(-5\/3)\/(a**(-1\/2)\/a*a)*(a**1)**(3\/7) assuming a is positive.\nAnswer: a**(-2612\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4 = -2*l. Let q = 5.5 - 0.5. Which is the smallest value? (a) l (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -123?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 29*u - 23. Let h be i(2). Let y(d) = -7*d**2 + 6. Let k(t) = 42*t**2 - 35. Give h*y(x) + 6*k(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1629094388 and 3.\nAnswer: 1629094391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*v + 4. Let d be 3\/(-6)*1*0. Suppose -5*o + d*o = -80. What is the least common multiple of v and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*-8 - 4)\/(-2). Suppose n*r - 105 = 9*r. Let y = 35 + r. Solve -4*z + 4*q + 0*q = y, 8 = -5*z - 3*q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -673 + 681. Solve 0 = t - 11 + z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -0.1 (c) -6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1214337 millennia in centuries?\nAnswer: 1.214337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 87. Suppose -10*v = -25*v + 1110. Let m = v + a. Calculate the remainder when 88 is divided by m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -10*n + 3. Suppose 6*c = 12 - 12. Let y be h(c). Solve y*l + r - 2*r = -7, -8 = 2*l + r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1674 and 493830.\nAnswer: 493830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 76 = 3*z - 81, -4*j - 104 = -2*z. Let v(p) = -2*p**2 + 9*p + 10. Let o be v(8). Let l = -28 - o. What is the highest common divisor of l and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34 (b) 1 (c) -0.2 (d) 2\/5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -825 + 765. Is 4 a factor of ((-96)\/30)\/(4\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 40*z + 216. Is 12 a factor of c(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0\/(0 - -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/18*(0 - 0). What is the closest to g in -2, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q**2 + 3 + 8*q - 3. Suppose -1 + 7 = w. Let j(m) = -7*m**2 - 9*m. Let f(u) = w*h(u) + 5*j(u). Find the second derivative of f(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126390 divided by 3830.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -625 + 629. Let y be (4 + -2 + -1)\/(m\/8). Are 3\/5 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*m = -4, -j + 5*j - 4*m + 4 = 0. Let s = -316 + 332. Solve -f + i = j, 0*f + s = 5*f + 2*i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -62, -73, -98, -143, -214, -317?\n\"Answer: -w**3 - w**2 - w - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12402*o**3 - 2*o**2 - 12404*o**3 - 2*o - 2 + 6*o**2. Determine h(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32143.27 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 1, -25, 4 in decreasing order.\nAnswer: 5, 4, 1, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 566 (base 7) in base 16?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l + 2. Let g be b(-3). Suppose 13*q - 60*q - 752 = 0. Does 14 divide (-198)\/g - q\/(-56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*p + p + 3, 5*i - 3*p = 17. Suppose y = -i + 3. List the prime factors of 48 + -2 - y*-2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66.5 + -64. Let b = y + -2.51. Which is smaller: b or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2080413045?\nAnswer: 3, 5, 1907, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 162\/8 - (-6)\/8. Let u = 28 - r. Find the second derivative of 9*p**2 + 17*p - 10*p**2 - u*p**2 wrt p.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7464427*d**3 + 10413083*d**2 wrt d.\nAnswer: -44786562","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10683?\nAnswer: 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 668 = -11*q + 151. Let c = 187 - q. Is c a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6) - 596\/(-6). Let r = q + -48. Suppose -3*t + 144 = -r. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003011233003 + 2?\nAnswer: 1003011233011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10800484?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 147047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 3) to base 9.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - 11*o + 20. Give f(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10326821.\nAnswer: 10326821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*b + f - 6, 4*b = f - 4. Is 371*(3 + 4\/b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*u - 300, u + 265 = 5*u - 3*z. Suppose -d = -n - 14 + 68, -n = -4*d - 48. Calculate the highest common divisor of n and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112 - 110. Let h = 0.7 + -0.4. Let c = -0.2 - -0.6. What is the biggest value in c, h, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 + 23 = 9*z. Let g(u) = -z*u + 6 + 65*u - 29*u. Give g(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159 + 310. What are the prime factors of p?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 21. Calculate the greatest common factor of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -116.7?\nAnswer: 113.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssstrsqsrmmstqtq. What is prob of sequence tm?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*m**3 + 7395 wrt m.\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/((-2)\/12). Suppose -5*m + 2*z + 10 = 201, 3*z + 201 = -5*m. Let c = -44 - m. Sort c, -1, s.\nAnswer: c, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 15, t: 3, f: 2}. What is prob of sequence ff?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/80)\/(10\/4). Sort -0.4, 2, 1, g in increasing order.\nAnswer: -0.4, g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/3, -5.5, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 756.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, h: 3, n: 1}. What is prob of picking 1 n and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 146226, 146224, 146222?\n\"Answer: -2*f + 146228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*a + 292, 3*a + 79 = -j + 2*j. Let h be 120\/j + (-4)\/(-14) - 2. Solve h*x - 8 = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 57*j**2 - j. Let h(b) be the second derivative of -b**3\/6 + 13309*b. Determine h(d(c)).\nAnswer: 57*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1824)\/3458*7*(-2)\/(-24)*3\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 215523573*k + 84519679?\nAnswer: 215523573","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 11*k + 9. Let j = 0.06 + 0.24. Let r = -0.2 - j. Which is the nearest to k? (a) r (b) 2\/9 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7973 <= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61.2 and 0.2.\nAnswer: -12.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -3 (c) 8 (d) -5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -2\/127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 19700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 418176 and 3.\nAnswer: 418176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -58) + -24 - 109?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1145000 (base 6) in base 14?\nAnswer: -18196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1955991667?\nAnswer: 7, 279427381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3408 divided by 1136.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -1.61396?\nAnswer: -0.484188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*g + 22075 = 19168 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 41 = -2*v - 3*v, 0 = -3*v + 4*h + 31 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-290)\/13775 + 360\/(-73150).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010101000011100 - 110011?\nAnswer: -100010101001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -9 + 3 - 1 + 8 - 2*c. Suppose 2*p + 20 = 3*b, 0 = 3*p - 5*b + 3*b + 25. Let z be y(p). Solve 0 = s + 4*s + z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7115635?\nAnswer: 5, 1423127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 g, and 1 w when three letters picked without replacement from wvgwwrvvrvrrrvr.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13360273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 6*y - 3. Let p be j(7). Let m = 35018 + -24786. Let u(h) = m*h - 5119*h - 5120*h. Let i(x) = -x. Calculate p*i(v) - u(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -3, 2.\nAnswer: -3, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/27125 and 37\/5704.\nAnswer: 4991000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 188*k.\nAnswer: 188*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3751440012.\nAnswer: 2, 3, 401, 259867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/51624 and 181\/10080.\nAnswer: 7227360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.944 + -0.056. Which is the nearest to 0.1? (a) 9 (b) -1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*v - 11 = 0, 3*q - 2*v - 10 = -q. Let r = q - -305. List the prime factors of r.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 562 divide 18317269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14267 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**5\/170 - u**4\/102 - 2*u + 1. Find j, given that z(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4407*n - 10653. What is the units digit of o(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30\/1358581 or 1?\nAnswer: 30\/1358581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9166844 divided by -43\nAnswer: 9166844\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 10*b**3 + 8*b**2 - 11*b + 7. Let l be o(4). Suppose -3*i + 2*t = -l, 143 = i + 3*t - 119. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2397 + 2386.87. Let g = z - -10. Let y = -0.37 + g. Which is the smallest value? (a) y (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 164 = -384. Let y = 336 - c. Is y a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, a: 1, c: 3, g: 2, z: 1}. What is prob of picking 1 a and 1 n?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010010 - 101?\nAnswer: -1011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 - 536*p + 250*p + 88*p + 96*p + 102*p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -19, 1, -2\/15, 2\/105.\nAnswer: -19, -2\/15, -1\/8, 2\/105, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 2*i + 1. Let s be g(0). Let q(c) = 7*c + 4*c - 2*c - 3*c + s. Is q(12) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/4*(309 - 307)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74770352 divided by 1099564.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u + 642 = -128*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 168*y**2 + 2*y - 2. Is q(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -113224, 0, 10 in ascending order.\nAnswer: -113224, 0, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 44 - 19. Suppose 4*h - 16 = 0, 0 = 4*x - 0*x + 4*h - 340. Calculate the remainder when x is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.0465 + 1.3465. Let z = 2.7 - 3. Let o = -0.4 - -0.2. What is the second biggest value in o, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = p - 0*p. Let l = 46 + p. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2177*y - 389*y + 50384 = -4510*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114815052 at least 114815053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37674, 0.2, -0.16 in increasing order.\nAnswer: -37674, -0.16, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 - (1 - 1 - 3). Let c be 51\/b + (-12)\/(-16). Let h = -8660.5 - -8661. What is the closest to 1 in h, 3\/4, c?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/7 - 38\/35. Let i = -0.05 - 0.45. What is the third smallest value in h, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204828*r + 121 + 70996*r - 120.\nAnswer: 275824*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 20 (b) -5 (c) 0 (d) 466 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12003 (base 4) in base 13?\nAnswer: -23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**2\/4 + 70325*g + 6470429\/4 = 0.\nAnswer: -23, 281323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14539.\nAnswer: 7, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z + 32. Let u be x(7). Let y(o) = -4*o. Let w be y(1). Let n(a) = a**3 - 2*a. Let g(r) = -2*r**3 + 5*r. Calculate u*n(p) + w*g(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*h + 258 - 258)*(88*h**4 - 44*h**4 - 46*h**4 + 31*h**3).\nAnswer: 40*h**5 - 620*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*77\/((-5236)\/7344)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + t - 1. Let p(u) = -4*u**2 - 3*u + 3. Let x = 49 - 43. Let q be (2 - 5)\/((-4)\/(x - 2)). What is q*i(d) + p(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2. Let d(x) = -23*x**2 - x. Let k be 4\/1 + (-58)\/29. Let y(m) = k*d(m) - 2*v(m). Find the second derivative of y(c) wrt c.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2196*a**2 + 4010109 - 2191*a**2 - 4010109.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*u**2 - u**2 - 12*u**2 + (-2*u + 1 - 1)*(0*u - 2*u + 0*u) + 0 + 2 - 5*u**2 + 2*u**2.\nAnswer: -29*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j + 22*j = -306. Find the second derivative of -j*f - 198*f - 7*f**5 - 2*f**5 - 5*f**5 wrt f.\nAnswer: -280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 8*b + 4 = 6*b, 0 = -3*a - 5*b - 10. Solve a = m - 5*v, -5*m + 4*v = -0*m + 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.4 - 4. Let m = 0.66 + i. Let n be 48\/(-312) + 36\/65. Put m, -0.2, n in ascending order.\nAnswer: -0.2, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 14 = -2*l + 4*b, 15 = -3*b + 9 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**2 + 86*b + 24. Determine v(15).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 13*y + 39. Let k be t(-7). Let u = -3 - -2. What is the smallest value in u, k, -3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 9 + 2)*(3 - 5 + 4)*(b + 2*b - 2*b)*(-280*b - 1 - 35*b + 3 + (0 + 2 - 3)*(-b + 0*b + 2*b)).\nAnswer: -10112*b**2 + 64*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t. Let x(n) be the second derivative of n**7\/315 + 20*n**4\/3 + 48*n. Let s(u) be the third derivative of x(u). What is w(s(v))?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**4\/2 + 13*z**3\/3 + 6*z**2 + 3*z. Let f(v) = -2*v**2 - 9*v - 4. Let h(d) = 8*f(d) + 3*t(d). Determine k so that h(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.23, -35, -0.5, -5\/48, -3, 4 in decreasing order.\nAnswer: 4, -5\/48, -0.5, -2.23, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/35 - ((-18)\/(-42) + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -241 + 4?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 2*z - 2*z)*(-21*z - 67*z + 12*z)*(-1 - 1 + 0) in the form q + i*z**2 + b*z and give i.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/6 + 5)\/((-18)\/(-81)) - (-67)\/(-23)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 - 2*g - 4. Let f(s) = 17*s**2 - 9*s - 18. Let a(l) = 2*f(l) - 9*q(l). Let y(i) be the first derivative of 2*i**2 + 3. Determine y(a(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1139 - 1134. Let p(o) = 8*o**2 - 5 - o**3 + 0*o**2 + 0*o**3 + o. What is the units digit of p(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212 and 530?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 28 = -4*a - 3, 34*t - a - a = 29*t + 30 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 25 - 4. Suppose -h*m - 200 = -32*m. Calculate the remainder when 43 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/((-435)\/30) + 7\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -42\/138589 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2609 - 0.1609. Sort -0.6, m, 2, -0.2, -4 in ascending order.\nAnswer: -4, -0.6, -0.2, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 85415.13 millennia?\nAnswer: 1024981560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-12))\/((-3)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*d + 7010, 4*l = 3*d + 13115 + 877. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155677989?\nAnswer: 3, 51892663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 6*c + 26. What is the remainder when 38 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 3, 9*r + 4*z - 16 = 12*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*z + 3)*(2*z + 2 - 2) - 2 - 717*z + 1431*z - 715*z - 37*z**2.\nAnswer: -33*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 421*u + 172 = -423*u, -v + 4*u = -182. Solve 48*i - 30 - v = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 26460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.04, 0.4, -1\/14?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j - 10. Let v be m(9). Suppose 2*x + 5175 = v*x. What are the prime factors of x?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-5 - -45)) + 23?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 46*z**2 - z + 3. Let x(i) = -92*i**2 + i - 5. Determine 5*r(p) + 3*x(p).\nAnswer: -46*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 43, 92, 141, 190, 239, 288?\n\"Answer: 49*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -18*x - 125. Let n be a(-7). Let w be -3*n\/(-3)*-1. Let d(u) = -8*u**2 - 1. What is d(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 20*m + 144. Let q be c(-14). Calculate the greatest common factor of q and 2220.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -306*h - 3694*h - 3197*h + 691*h - 2050*h as y + x*h and give x.\nAnswer: -8556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4867\/4 - 2333\/2. Let f = 50 - t. What is the closest to 5 in 1, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -17*x - 776. Let d = 402 + x. What is the highest common factor of 112 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {p: 7, e: 1, q: 2, u: 1, k: 5}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -14*p**3 - 31*p**2 - 34*p - 29. Let o(y) = -5*y**3 - 10*y**2 - 11*y - 10. Let l(t) = 3*j(t) - 8*o(t). What are the prime factors of l(-9)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose 5*l + 38 + 392 = r*q, 2*q + 3*l - 398 = 0. Suppose -q + 541 = 4*h. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-108)*(-408)\/(-680)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2414 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + d + 8 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4258407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 96150 divided by -5\nAnswer: -19230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -50, 4, -0.02 in ascending order.\nAnswer: -50, -5, -0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 4*q = -d + 2, 2 = 4*q + d. Let f(a) = -a + 15. Let w be f(q). Suppose w = 2*k + k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-129)\/21)*-2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from cwwwcrcwcccwcwwccwc?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1847542220?\nAnswer: 2, 5, 92377111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 69 = -z + 2*s, 2*s = 2*z - 162. What is w in 5*w**4 - 162*w**3 + 52*w**3 + z*w**2 + 30*w**4 - 10*w = 0?\nAnswer: 0, 1\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(((-2)\/10)\/1)\/(15*40\/(-10200)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2. Let v(p) = -1856*p - 5. Calculate v(y(x)).\nAnswer: -1856*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) -30\/11 (c) -1 (d) 2\/5 (e) -3\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/88 and 73\/704.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1661, 3, 1, -8 in decreasing order.\nAnswer: 1661, 3, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 3:03 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-19)\/k**(-19))\/((k*(k*k**(-1\/3)*k)\/k*k*k)\/k**(-4\/7)) assuming k is positive.\nAnswer: k**(-89\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15351 divided by -301?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 5*m + 2. Calculate a(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3039 + 3035. Suppose 5*m = -5*m + 110. Which is the closest to 1? (a) h (b) m (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-156)\/(-12740)*-35)\/((-18)\/(-28)))\/((-4)\/486).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.7 - -8. Let y = 0.33913 + -0.13913. What is the nearest to -2 in 0.02, d, y, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 11. Let l(n) = 3*n**2 + 35*n + 24. Let q be l(-11). Let a = 19\/2 + -10. What is the smallest value in k, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 0*x - 19\/5*x**5 - 1\/6*x**6 + 0*x**4 + 0*x**2 - 76 - 34\/3*x**3. What is the third derivative of q(f) wrt f?\nAnswer: -60*f**2 - 456*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(2\/9)\/q))\/q**(-4)*(q\/((q**6\/q)\/q))\/q*(((q**(-5)\/q)\/q)\/q)\/q*(q*q**(-2\/7))**(4\/17)\/(q**(1\/4))**(1\/8) assuming q is positive.\nAnswer: q**(-242831\/34272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*v - 4 = -18*v - 4. What is p in 1\/3*p**3 + v - 2\/3*p**2 + 0*p = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 64535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 1) + -6 + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15120 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/1)\/(3 + -5). Let f(y) = -4*y**3 + 2 + 5*y**3 - 5*y**n + 2*y**2 + 2*y. Determine f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**4)**44)**9)**6 assuming x is positive.\nAnswer: x**9504","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(11\/4)*l)\/(l\/(l*l*l**28)*l))\/(l**(-36)*l\/l**(-17)) assuming l is positive.\nAnswer: l**(181\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 12*y + 9. Let r be m(-2). Is 45\/r - (1 + -1) - -16 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 2*j**2 + 16*j - 10. Let i be l(-11). What is the greatest common factor of 21 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m = 120. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1128? (a) 16 (b) 1 (c) -1\/6 (d) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1467 is divided by 114?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 5*s**2 - 10*s + 7. Let f be c(-6). Let v = f - 26. Solve -v*r = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*l**5 + 0*l + 0*l**2 + 0 + 0*l**4 + 3\/5*l**3.\nAnswer: -3*l**3*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from iiiiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/9*y**3 + 32\/3 + 188\/9*y + 88\/9*y**2 = 0. What is y?\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1433344, -1433452, -1433624, -1433854, -1434136, -1434464, -1434832?\nAnswer: -1435234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*(sqrt(72)*1 + 1 + sqrt(72) + (sqrt(72) - (sqrt(72)*3 + 4)))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 184991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((0 + sqrt(1008) + sqrt(1008) + -3)*-1*-5)**2*-4.\nAnswer: -404096 + 14400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2\/5 - 287246*f\/5 = 0.\nAnswer: 0, 143623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 22 - (33 - 27)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/85*(75\/200)\/((-12)\/(-480)*-12).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7125\/(-20))\/(-4*9\/96)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7987*a**6 - 3*a**5 - 2*a**4 - 1965711*a**2.\nAnswer: 958440*a**3 - 180*a**2 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 22560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.59191 times -93?\nAnswer: 427.04763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 29 - (-29 - -23)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (572\/39)\/22*-6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -394\/97 - -2164\/485. Let o = 2.8 + -2.6. Which is the smallest value? (a) f (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 2*g**2 - 46*g - 9. Determine c(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 e when four letters picked without replacement from pedppddpedddddpd?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143551 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3504953\/7 - 500707. Determine k, given that a*k**4 - 4\/7*k**2 + 0*k - 1\/7*k**5 + 1\/7*k**3 + 0 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*j - 1. Let t(m) = 5*m - 7. Let y(o) = 7*o - 10. Let d(f) = j*t(f) + 2*y(f). Let i be (0 + -6)*2\/3. Determine d(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 7. Suppose 4*o - 2*q + 10 = x, 37 - 12 = -3*o + 5*q. Suppose -g + o = -1. Solve 6 = -5*t + g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -7*b - 12. Let y(d) = 2*d**3 + d**2 - 2*d. Let r be y(-2). Let t = r - -3. Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2235032, 2234998, 2234964, 2234930, 2234896?\n\"Answer: -34*k + 2235066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a second in milliseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*k - 55*k = 48. Suppose k = -36*u + 34*u. Let q = -0.2 - -0.1. Which is the second smallest value? (a) -0.2 (b) u (c) q (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3674981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4065\/2 - 3065. Let l = v + 80443\/78. What is the common denominator of -47\/6 and l?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75066\/29 smaller than -2588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 27 = d, 29 = -2*d + 4*d - 5*l. Let o = -30 - -36. Let g be 2\/o - 4\/12. Solve d*u + 2 = -c - g*u, u = -4*c + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -331*n**5 - 7987 + 7987 + ((-3 + 3 - 2*n**2)*(n - 4*n + 4*n) - n**3 + 5*n**3 - 3*n**3)*(n**2 - 3*n**2 + n**2).\nAnswer: -330*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1)*k)**(-14)*(k\/(k\/(k**3*k))*k)\/(k*k**(3\/7))*(k**(-2\/29)*k*k**9)**(3\/5) assuming k is positive.\nAnswer: k**(-4537\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26697 (b) 2\/15 (c) 13 (d) 1\/5 (e) 0 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 + 266*m\/11 - 1764\/11.\nAnswer: -2*(m - 126)*(m - 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.2 - 14. Let z = s - -4.8. Which is the nearest to -1? (a) z (b) 2\/9 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 9 = 4*m + 5, -4*m + 4*q - 8 = 0. Let p be m + 2390\/(-15)*-3. Suppose -p = -3*g + 279. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -2)\/(-2 - -3). What is the third derivative of 3*h**2 - 3*h**2 + h**4 - h**2 + p*h**2 wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4829*g - 840 = 4885*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.03388064 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-2)\/8*(-6)\/(-27).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 909 - 907. What is the fourth biggest value in 0.048, 2\/5, h, 0.3?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.1, 1, -4\/5, -7\/2, 758?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43505385 and 980?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -78445365.\nAnswer: -1\/78445365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2123211946 to the nearest integer?\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18506431 is divided by 707.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**4\/12 - 105*m**2. Let v(l) be the third derivative of -l**5\/60 - l**2. Calculate v(r(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (1 + -3 - -4). Suppose m + 9 - 6 = n. Sort 1, 5, m in increasing order.\nAnswer: m, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*m + 22625, 2*m - 2*r = r - 9050. Let b = m - 3575. What is b rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**3 - 2*p**2 + 3. Let n(f) be the second derivative of 4*f**5\/5 + 11*f**4\/12 + f**3\/6 - 8*f**2 - 10*f. Give -2*n(j) - 11*x(j).\nAnswer: j**3 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 4623.\nAnswer: -5\/4623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 3452403\nAnswer: 1\/3452403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4122 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j + 16559 - 98909 = -1372*j + 52650 for j.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 + 9453)\/((-115)\/9 + 13).\nAnswer: 3, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsn when three letters picked without replacement from {n: 3, s: 9, b: 2, c: 1, y: 4}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 2 + 5*u - 28001\/2*u**2. Let b be z(5). Round b to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 3*q + l + 487, 0 = -3*q + 3*l + 495. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -1\/6*f**3 - 1\/24*f**4 + 8*f**2 + 0 - 1\/120*f**6 + 1\/60*f**5 + 0*f. What is the remainder when s(-2) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 904*t**2 - 1247.\nAnswer: 1808*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vylyszx. Give prob of picking 1 x, 2 y, and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 10*s**2 + 10*s. Let m be k(-11). Find the common denominator of (-14)\/(-8)*2\/m and -83\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 68\/8*1.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*l - 12*l. Find the second derivative of l - 5215*m - 1 + 2*m**4 + 5480*m wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/3)\/(1\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**4\/4 + g**2\/2 + 1399. Let h(u) = -2*u**3 - 3*u. Calculate -3*h(m) - 5*o(m).\nAnswer: m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2439.9 take away 47090939.66?\nAnswer: -47093379.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15486\/632345*3\/(18\/10).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*-1*(-4 + 4 + 1). Let s = 2.7 - 2.3. Let p = -0.7 - -1. Which is the smallest value? (a) p (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65411.5 - -63.3676\nAnswer: 65474.8676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.42 and 0.090209569226.\nAnswer: 1.510209569226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 4\/3 (c) 2\/11 (d) -7 (e) 7\/6 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*g = 27 - 1, -5*g + 31 = 2*b. Suppose 0 = -0*h - h + 2. Find the third derivative of 4*r**b - 3*r**h - 6*r**3 - 4*r**3 wrt r.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 12 - 4*b**2 + 44412*b**3 + 2*b - 44419*b**3.\nAnswer: -7*b**3 - 4*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 12:42 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12225 = 3*q - 5*q + 5*q, 0 = -2*q. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 1. Let o be l(-6). Suppose 2*h - 12 = -2*b, o*h - 2*h = -2*b + 27. Suppose -4*i + 0 = h*k + 16, 0 = i - 3*k + 4. Is i bigger than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -55. Let u = q - -7.5. Sort 0, -4, u.\nAnswer: -4, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51793.8 - 0.1\nAnswer: 51793.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10485.9353 - 9860.87. Let d = f - 0.0653. Let i = -625.0417 + d. What is i rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.98442kg in tonnes?\nAnswer: 0.01998442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/211 - 221\/1055. Sort 1\/3, -0.5, v in ascending order.\nAnswer: -0.5, v, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3, x - 1 = g - 0*x. Suppose p = -0*p + g. Suppose 0 = -5*u + p*u + 30. 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 10\/7*(-115248)\/(-5880)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*g + 5. Let l = -5 + 8. Let n be 8\/12*75\/(-10). Sort g, n, l in ascending order.\nAnswer: n, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 divided by 50.\nAnswer: -53\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 2 - 2 + (-2*b + 3*b + 7*b)*(-2 + 2 - 2)*(1 - 1 - 2).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 12*q - 2 + 3 - 1. Let y(x) = -9*x - 18. Let r(n) = 20*n + 39. Let z(f) = 6*r(f) + 13*y(f). Calculate c(z(o)).\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**3 - 30*s**2 + 13*s + 75. What is the least common multiple of 155 and i(-11)?\nAnswer: 9145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 920?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a3 (base 11) to base 6.\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 11 = 3*k + 4, -3*l = 2*k. Let n(j) = -5*j + 7*j + 2*j - l*j. Let g(o) be the third derivative of o**4\/8 - 4*o**2. What is n(g(s))?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 10 = 10. Let l be (-2 - -1)\/(5\/f). Factor -29*w**2 - 23*w**l - 12 - 4*w**3 + 13*w**2 - 5*w**3 - 48*w.\nAnswer: -3*(w + 2)**2*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mebwmeexmbwbbmr. Give prob of picking 1 w, 1 x, and 1 r.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.6017 - 10.58.\nAnswer: -28.1817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1125 and 2375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - (2 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 516096983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000786 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.66932 decades in years?\nAnswer: 156.6932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + (-20)\/(-7))*7. Let s be (-27)\/k + 2\/4. Let u(p) = -p + 3. List the prime factors of u(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6772*c**2 - 3382*c**2 - 3389*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 29*m - 9. Let c(j) = -j**3 + 12*j**2 - 17*j - 16. Let a be c(10). Let f be b(a). Solve 3*h - 1 - 4 = -f*r, 2*r - 11 = -3*h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 5*m**2 + m + 6. Let v = -20 - -15. Let w be t(v). Let a(x) = 6*x**2 - x + 4*x - 2*x. Give a(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/15 and (5 + 1975\/(-60))*(-6)\/(-45).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -5\/4, -2\/117 in descending order.\nAnswer: -2\/117, -0.1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 12 + 13)*(0 + 3 + 5*c - c) in the form d*c + l and give l.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.022 + 3.0317. Round l to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(44\/(-33)*-3*1\/1).\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 7*r = z - 4, -3*z + 5*r + 19 = 0. Let l(s) = s**2 + s. Let g be l(2). Solve 2*f - g = -2, -2*f = 4*q - z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 18. Let i be a(0). Suppose -3*b + 95758 = -5*b. Is b\/(-117) + 4\/i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 11:34 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/36 - 1\/4. Suppose 4*x - 4*r + 16 = n, -16 = x - 0*x + 3*r. Suppose -2*f + 9*f = 7. Sort x, -2, f in ascending order.\nAnswer: x, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1792457 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 367.8728um?\nAnswer: 0.0003678728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-78)\/5)\/(-4 + 90\/25). What is the greatest common divisor of d and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 84667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7843 is divided by 32.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 8\/3*w**3 + 16 + 4*w**2 + 1\/4*w**4 + w. What are the prime factors of a(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3\/5 - d**2\/5 + 12*d\/5 + 4\/5 = 0. What is d?\nAnswer: -2, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/6*s**2 - 1\/6*s**4 + 5*s**3 - 5*s = 0. What is s?\nAnswer: -1, 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67617413*n**2 + 22048*n + 1727 wrt n?\nAnswer: -135234826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 12100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y - 16*y - 5*y = -5*t - 55, 9*t + 71 = 5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6926*u**3 - 2*u**2 - 78*u - 1730230 wrt u?\nAnswer: 20778*u**2 - 4*u - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-3 + 3)) + -2 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46975.\nAnswer: 5, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1115703 = -373*p + 22942171. What is the thousands digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 64 - 15343?\nAnswer: -1528a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26.108 + 21.108. What is the second biggest value in k, -0.4, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 851939, 851950, 851961, 851972?\n\"Answer: 11*t + 851928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 5441638\nAnswer: -3\/5441638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, -0.228, 11\/663?\nAnswer: 11\/663","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/909312 and 155\/888.\nAnswer: 909312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/sqrt(6) + -5 - (sqrt(468) + -5)**2.\nAnswer: -498 + 61*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/4 - 1\/4. Suppose 120 = -0*d + x*d. Calculate the remainder when d is divided by ((-56)\/(-10))\/((-6)\/(-15)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, i: 10}. What is prob of sequence ibi?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -292 - -51. What is q rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z + 2. Let v(d) = d**3 - 7*d - 6. Let k(t) = 7*h(t) + 2*v(t). Let l(n) = 6*n**3 + 6. Suppose -4*p + 11 = 3. Give p*l(y) - 7*k(y).\nAnswer: -2*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 43*x - 47. Calculate o(-42).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 607920 and 1275?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) -1 (c) -8757694 (d) -0.3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29125\/40664 + -282\/221. Find the common denominator of -81\/904 and n.\nAnswer: 20792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - q = 4*i - 15, 0 = 5*q + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = m - 155, 0 = -5*v + m - 147 - 46. Let n = v + 70. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x = -176. Round x to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 1. Let h be 0\/c + 5 + 0. Suppose o - 5*u + 0*u - 67 = 0, -5*o - h*u + 365 = 0. Calculate the greatest common factor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 8*t + 2. Let b(p) = -3*p + 1. Let q be ((-42)\/(-126))\/(-2 - 35\/(-18)). Let c(u) = 15*u - 6. Let z(n) = q*b(n) - c(n). What is z(a(y))?\nAnswer: 24*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l + 224. Let u be g(-32). Solve x - 3*x - 4*a = 8, u = -3*x + a + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.999993 - 17. What is q rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968791?\nAnswer: 19, 50989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 26 = -2*t, -25112*r - 4*t = -25117*r + 80 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -445925 take away 0.2144?\nAnswer: -445925.2144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 34363, 56, 4 in ascending order.\nAnswer: 4, 56, 34363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 12:12 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 33 = q, 17 = 3*q - 2*f + 3. Suppose 5*l - 2*l = -6, 4*c - 2*l = 4. Solve -z - z + q = c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-15) + (-17)\/(-5). Suppose -w*n = -n. Suppose 4*j - 2*j - 46 = n. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7864 and 46?\nAnswer: 180872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 4:08 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r**2 + 7 - 24*r - 27 + 15 + r + 4 to j + t*r + m*r**2 and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10263 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*2*-4 + (sqrt(1100) + 1 + -2 - sqrt(1100)) - (sqrt(1100) + -1 + sqrt(1100) + -1 + -4 + sqrt(1100)*-1))**2.\nAnswer: -900*sqrt(11) + 89125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17221.225 less than 0.067771?\nAnswer: 17221.292771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (5 - (-4 - 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94 + 132. Suppose 3*p = -4*c + 50, -4*p + 14 = 4*c - j. Solve -1 = 2*g - c, 4*f + 17 = g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*d - 7402 = -69*d + 7711 - 3667 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecececc. Give prob of sequence ceee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 52?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14479*f**2 + 14489*f**2 - 28954*f**2 + f - f.\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z = -11*z - 209. What is the remainder when 185 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -3.1, -0.9, -2\/9, -1, 14, -24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 - 9*q - 11*q**2 + 11*q**2 + 2*q**2 wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, -5, -1\/68, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3838 equal to 3825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*v - 453*v - 20970 = 87*v for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 229*c**5 - 4*c**2 - c - 6*c**3 + 196*c**5 - 426*c**5 - 4*c**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1024*z**4 - z**3 - 1003*z**2.\nAnswer: 24576*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jiiijj. Give prob of picking 2 i and 1 j.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*k - 4*k + 3*k)*(-4*k + k + k) + 11*k**2 - 55*k**2 - 13*k**2)*(69 + 214 - 11) to b*k**2 + j + p*k and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 314553, 1258254, 2831107, 5033124, 7864317, 11324698?\nAnswer: 15414279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.08, -1, 3, 30 in decreasing order.\nAnswer: 30, 3, 0.08, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 5 - (5 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -80624476?\nAnswer: -80624471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 569945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/7 + 16*g**3 + 1566*g**2\/7 - 16*g - 224 = 0.\nAnswer: -28, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113011 - -13?\nAnswer: -112554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.04, 57, -1?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8, 2, 4, 1\/455, -2\/11?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 4:41 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 150 - 164?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4761 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9114 divided by -7.\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*q - 5*d = 118, -4*q = 5*d - 134. Calculate the remainder when 142 is divided by q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 9. Is (-10)\/(-2)*(-111)\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 6707*j - 809840. Give b(-123).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 1. Let t(o) = o**3. Let k(j) = m(j) + t(j). Let q(x) = -5*x**3 + 5*x**2 - 18*x - 5. Let s(d) = -6*k(d) - q(d). What is the tens digit of s(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 684*v - 709*v + 1194175 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121516 times 0.373?\nAnswer: -45325.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 7. Let a be (13\/2)\/((-2)\/4). Let w be m(a). What is the remainder when ((-50)\/w)\/((-4)\/12) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Suppose 3*y + 2*l - o*l - 47 = 0, 0 = -l + 4. Let b = -4 + 6. Solve 5*w = -b*s - y, 3*w + 2*w + 45 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3*n = 4*f - 2, 4*f - 13 = 3*n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3245*s + 1536. Calculate p(-1).\nAnswer: -1709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 365, 350, 323, 278, 209, 110?\n\"Answer: -g**3 - 8*g + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2. Let b(z) be the third derivative of -z**4\/24 + z**3\/2 - 2*z**2. Let k be b(0). Let w(q) = -3*q + 0*q + 0*q - k*q. Determine t(w(i)).\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = 6*w - 44369. What are the prime factors of w?\nAnswer: 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u - 9 - 0. Which is the closest to u? (a) 0.4 (b) 1\/8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 12, -3*j + 4 = x + 5. What is the remainder when 72 + x + -7 - -2 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -13 + (-25 - -54)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r**3 - r**2 - 10*r + 5. Let x(v) = -7*v**3 + 10*v - 6. Give 5*x(q) + 6*y(q).\nAnswer: q**3 - 6*q**2 - 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056368 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/((-8)\/192).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278\/(-14) - 145\/((-1015)\/196).\nAnswer: 57\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.0707\nAnswer: 0.02121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 2*c + 4 + c - c. Let o be t(-4). Suppose 5*p = -2 + o. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(6)\/sqrt(2)) + sqrt(24)\/(-1*5*sqrt(8) - sqrt(8)))*-3.\nAnswer: -5*sqrt(3)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/30*(-19)\/(-57)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 5 = w, -8 = -5*w - 3*k + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 1)*(0*l - l + 2*l) + 5 - 4*l - 5 + (-4 + 3 + 3)*(-2*l - l + 2*l) in the form p*l + n and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 883.49 + -870. Round w to one decimal place.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 191630 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 11. Let r(k) = 2*k + 13. Let v(o) = 4*c(o) + 3*r(o). Let i = 0 - 0. Suppose -5*g + 28 = 3*l, 4*l + i*l = -g + 26. Give v(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1126)\/279 + 4)\/(2245\/(-12123))\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4300 is divided by 167.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111010 - 111010100?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**3 + 538*k**2 + 266*k - 265. Let q be n(-134). Factor 0*j - 2\/11*j**2 + 0 + 2\/11*j**4 + 0*j**q.\nAnswer: 2*j**2*(j - 1)*(j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/157 and 29\/11?\nAnswer: 1727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -8, 5, -17, 0 in ascending order.\nAnswer: -17, -8, 0, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxdd when four letters picked without replacement from xdddxd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324.0984 kilograms to nanograms.\nAnswer: 324098400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 21*n + 56 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (518\/8)\/((3 - 0)\/120). What is y rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -323, -1288, -2887, -5120, -7987?\n\"Answer: -317*x**2 - 14*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 132194347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: 70.183 * -1\nAnswer: -70.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 74132 to the power of 1\/2, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5227 + -2902. What are the prime factors of y?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 560?\nAnswer: 560.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (10 - 1)) + 646 + -640.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0345172266 to three dps.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2187, -1688, -299, 2424, 6925?\n\"Answer: 74*i**3 + i**2 - 22*i - 2240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooo. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = 2*f + 3*y, -f + 11 = -3*y. Suppose f = -m + 5. Solve -5*k = -m*h + 6, 0 = 3*h + 2*h - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 2:41 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*b - 6*b, -5*c = -4*b. Suppose -5*w + 5 + 10 = 0. Suppose b = -x - 3*a + 12, -2 = -5*a + w. What is the greatest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a millimeter in micrometers?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -27. What is the lowest common multiple of 5 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vass. What is prob of picking 1 s and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1214\/279 - 1000291\/227385. What is the common denominator of x and -52\/9?\nAnswer: 7335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -528*h + 0*h**2 + 4*h**2 + 149*h - 149*h + 625 - 101.\nAnswer: 4*(h - 131)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5901406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.50737 and 0.245.\nAnswer: 0.12430565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 66433*g = -66434*g + 30, -5*g = y + 10 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**38\/(n\/(n\/(n\/(n**25*n)))))**(30\/7))**(1\/2) assuming n is positive.\nAnswer: n**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000029768 rounded to 6 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, 10, 36, 70, 112?\n\"Answer: 4*q**2 + 6*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 5*q**2 - 5*q - 3. Let j(n) = n**3 - 2*n**2 + 4*n - 3. Let s be j(3). Let w = 1100 - 1078. Let l = s - w. Calculate p(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -427\/13 + 867\/26. What is the nearest to -16 in y, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67\/8 - 1289\/152. Which is the nearest to 0.1? (a) k (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**4*v - h**4 + h**3*v - 717*h**3 + 4*h**2*v + 471*h**2 + 7*h*v - 2*h wrt h.\nAnswer: 24*h*v - 24*h + 6*v - 4302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7610 (base 8) to base 4\nAnswer: 332020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7*m**2 - 1 + 42*m - 8*m**4 - 36*m + 8*m**2 in the form i*m**2 + x*m**3 + k*m**4 + r + l*m and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 16.2. Suppose -2*w + w - 4 = 0, -14 = 3*v + 5*w. Which is the closest to -3\/4? (a) t (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/29 - 8\/319. Suppose 0 = -0*t - 4*t + 4. Do q and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -645, -657, -673, -693?\n\"Answer: -2*q**2 - 6*q - 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 + 105. Let l = -2 + 48. What is the greatest common factor of w and l?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*i)*(-45 - 67*i - 617*i + 45) to p*i**2 + m*i + w and give p.\nAnswer: 1368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -1\/17, -1\/2, 0.3?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 3*q + 3. Let s be j(-2). Suppose -t + s = 16. Let a be (-2)\/(-4) + t\/2. Put -1, a, 3 in ascending order.\nAnswer: a, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 963013882?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807541677 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6457\/33711 - 3\/661. Let d = -223\/357 - w. Suppose -p = -3*p - 6. Which is the third biggest value? (a) 0.5 (b) p (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -46*r + 3. Suppose 4*i - 87 = -2*g + 19, 15 = 5*i. Let z = g + -48. Is h(z) 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 5835705?\nAnswer: 3, 5, 389047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -6*v**2 - 320*v + 22134 = 0.\nAnswer: -93, 119\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, c: 2, d: 4, x: 2, z: 3, p: 8}. What is prob of picking 3 z and 1 c?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 1595?\nAnswer: 12760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 80, -55, -228, -451, -736, -1095?\n\"Answer: -2*k**3 - 7*k**2 - 100*k + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 12*m**2 + 3*m - 9. Calculate p(12).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*m + 45*m + 4661 = -23 - 1192 for m.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 1605*k - 48811. Give i(31).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4774 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 9 + 1394*i + 9*i**2 + 9 + 2 - 1398*i. Let f be h(-9). Suppose -u + 4*u - 24 = 0. Calculate the greatest common divisor of u and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -47*g**2 + 16 + g + 0*g + 47*g**2 - 13*g**3. Let i(o) = 2*o**2 + 10*o - 7. Let j be i(-5). Let r(z) = 4*z**3 - 5. Determine j*r(p) - 2*h(p).\nAnswer: -2*p**3 - 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 2. Let j(b) = -b**3 - 7*b**2 - 4*b - 2. Let c be j(u). Let r be 9\/6 + c\/(-4). Solve -r*o - i = i, -o = -4*i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from ooooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 322012 - 1814?\nAnswer: 320087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -12. Suppose 14*o - 24 = 32. Factor -r**o + 3*r**3 + 2*r**4 - v*r**5 - r**2 - 2*r + 9*r**5.\nAnswer: -r*(r - 2)*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 304586 or 304595?\nAnswer: 304586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h - 1980 = 29*h. Let c = h - -742. What is the remainder when 322 is divided by c?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 17*m - 11. Let r(w) = 2*w**2 - 17*w + 13. Calculate 4*r(h) + 5*x(h).\nAnswer: 3*h**2 + 17*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -335 plus -8.28?\nAnswer: -343.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23022 divided by -6.\nAnswer: -3837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.3, 2\/5, -168374, 1, -4 in decreasing order.\nAnswer: 1, 2\/5, -2.3, -4, -168374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30598*z**5 - 36331*z?\nAnswer: -611960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 2*j - 2 - 7, 2*g = -5*j + 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g + g - 2*g)*(-5*g + 3*g + 0*g + (3*g + 0*g - g)*(0 - 1 - 1) + 6*g - 6*g - 6*g) to n*g + m + t*g**2 and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + h + 168. Let p = -40 + h. Suppose p*y - 9 - 3 = 0. Which is bigger: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 10 = 0, 5*q - 2*v + 4 = -4*v. Solve 2*d + q*d - 5*l = -5, 5 = -d + 5*l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 19\/17845 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 4*c**2 + 10*c + 22. What is the remainder when 59 is divided by t(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 3*y - y)*(2 - 35 - 15)*(-3*y + 3*y - 3*y).\nAnswer: 432*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 28*i + 55*i - 27*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11160 - -11162. Solve 0 = 2*i - 4*b - 6, c*b + 4 = 4*i - 2*b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07 and -10335.\nAnswer: -10334.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13000244.\nAnswer: 2, 23, 141307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 + 6*m - 6. Let b be a(6). Calculate the common denominator of 149\/18 and b\/(-30)*(-75)\/(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1367 divided by -4\nAnswer: 1367\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -395 + 415 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1348990464\/9293 - -145162. Let z = d - 1124489\/167274. Find the common denominator of z and -81\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 214\/(-88)) + 2 - (-9)\/(-36)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*h**3 - h**3 + 4*h**3)*(-8 + 9 + 3) in the form m*h**2 + k + z*h**3 + w*h and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) -2 (c) -0.04 (d) 0.2 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.90007453 to 2 dps.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6391)\/(-132440) - (-6 - ((-205)\/200 - 5))?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.4082 + -11.48. What is d rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*u - q, 0 = 3*u + 10*q - 8*q - 15. Solve -l + 2 = -u*k + 6, -3*l = k + 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/6696074 and 123\/455333032.\nAnswer: 455333032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86105097.\nAnswer: 3, 13, 89, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 95*u - 2. Let m(i) = 96*i - 1. Let o(h) = 2*f(h) - 3*m(h). Is o(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 2. Let k be w(10). Is k\/36 + 817\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*o - 58, o + 26 = j - 0*o. Suppose 87*g + 25796 = 3611. Let c = g - -279. Calculate the smallest common multiple of c and j.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1755*o**2 + 113*o - 32 wrt o.\nAnswer: 3510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -464? (a) -1 (b) -105 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 - 15*a**2.\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 10 - 22. Solve o*p + 1 = -2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1348.38628 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 12*q**2 + 47*q - 242. Let o be m(14). What is the highest common factor of o and 1752?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 4*b**2 + 3*b - 2. Let r be x(-5). Solve 4*a = r + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-7\/3)*f*f**4)\/(f**0\/f**3))\/((f\/((f\/(f**0\/f))\/f)*f**(-3\/4))\/(((f\/f**0*f)\/f)\/(f*f*f\/(f*f**(-3)*f)))) assuming f is positive.\nAnswer: f**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51041*h*u**3 + h*u + 134994*h wrt u?\nAnswer: -153123*h*u**2 + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {g: 3, d: 4, n: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 14*x**2 - 15*x - 3. What is f(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 17, l: 1}. Give prob of sequence av.\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1091305689 to the nearest integer?\nAnswer: 33035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07 + 0.03. Let v = 0.34 - -0.06. Which is the second smallest value? (a) m (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 102\/5. Let a be 52\/(-4 - -2) - 2. Let w be a\/24 + 1\/6. What is the third biggest value in w, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224 and 70880.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -580*f. Let t(m) be the third derivative of m**5\/30 - 377*m**2. Give t(v(y)).\nAnswer: 672800*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 990*d + 628352 = 1006*d. Is 199 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210101 (base 4) to base 15.\nAnswer: -a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1970 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**4 - 24*c**3 - 18014*c**2 - 35820*c + 53856 = 0?\nAnswer: -88, -3, 1, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 + 46*u**2 + 47*u - 415. What is b(24)?\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 900 and 275.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 6*x - 2. Let l be w(6). Let g(y) = 11*y + 4. Let k(u) = 3*u + 1. Let s(i) = -2*g(i) + 7*k(i). What is s(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 9:42 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*k - 90 - 78 = 0, 519 = 3*d + 3*k. List the prime factors of d.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 6*o + 8*o + 0*o + 34192*o**2.\nAnswer: 34192*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 771911 to the power of 1\/2, to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + f**2. Let g(z) = 3*z**3 + 0*z**3 + 7 + z**3 - 6*z**2 + 4*z**3. Let c(w) = -g(w) - 6*l(w). Find the first derivative of c(o) wrt o.\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-17)\/((-255)\/(-18)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - (-26)\/(-10)) + 1)*(215 - 217)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31046\/3 - -10348. Let y = -17 + 27. What is the third smallest value in 0.3, 2\/11, l, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 155330 (b) 2\/5 (c) 2 (d) -202\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1318\/7 + 188. Let g be (1\/(-3))\/(((-25)\/(-10))\/(-5)). Put s, -1\/12, g in increasing order.\nAnswer: s, -1\/12, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s = 6*s + 20306. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*o - 22 = -59*o - x, 4*x - 214 = -11*o for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.19 (b) -4 (c) 0.6 (d) -13 (e) 0.3 (f) 21.6 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 7*l**2 + 3. Let n = 36 + -43. Let f be o(n). Calculate the greatest common factor of f and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 196, 317, 460?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/12430 and -4\/55?\nAnswer: 12430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32501097 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 2. Let u(x) = -10*x. Calculate f(u(d)).\nAnswer: 10*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 354 = 350 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5 - 1423*v**4 - 354183*v**3 - 34396768*v**2 - 893785088*v - 438337536 = 0. What is v?\nAnswer: -224, -39, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 3)*(-r + 0*r + 2*r) - 61 + 128*r + 28 + 32 to the form p + s*r and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 + 19*j**2 - 3*j + 19. Give k(9).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -29. Suppose -h - 4*j + 17 = s*h, 5*h - 23 = -4*j. Solve 0 = -h*t + 3*p, 3*t - 2*p + 0*p = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136384 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 2 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + n**2 + n + 8. Let z be c(0). Let a = 143 + -140. Let j = a - 3. Put j, -3, z in ascending order.\nAnswer: -3, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 3*j - 6. Let r be l(3). Let q be ((-1)\/3)\/((-4)\/r). What is the closest to 4\/5 in -4\/5, 3\/4, q?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 386, -3, 1, -1.\nAnswer: -3, -1, 1, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006534231 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 1. Let h(c) = 2*c + 11. Let u(n) = -4*g(n) - h(n). Let y be u(6). What is the closest to -0.1 in 0, y, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, 11\/36, 1\/16, 7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-166)\/(-24) - (-3)\/12. Is -6 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + (-1*sqrt(85) - sqrt(85))*-1 - (sqrt(85) - (sqrt(85) - (sqrt(85) - -2*-2*sqrt(85)))))\/((3*sqrt(1000) + sqrt(1000))\/sqrt(2)).\nAnswer: 3*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9390*n**2 - 64767*n?\nAnswer: -18780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*u**2 + 22*u**2 - 35*u**2)*(2 - 1 + 0) - 9*u**2 + 3*u**2 - 5*u**2 + (2 + u - 2)*(2 + 2*u - 2).\nAnswer: -110*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -27. Suppose 0 = -4*b + 2*t + 740, -b + a*b = -5*t + 207. Is b 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 44272?\nAnswer: 2, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/(f**(-1\/5)\/f)))*f*f**(-5\/2)\/f*f)\/(f**(2\/5)\/f)**6*(((f\/(f\/((f*f**(-2\/13)*f)\/f*f)))\/f)\/f**(-6))\/(f*f**(1\/4)*f)**(-1) assuming f is positive.\nAnswer: f**(3483\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*6\/(-75))\/((-2)\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + r - 628, -t + 4*t - r = 471. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 2:01 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95688, 95825, 95964, 96111, 96272?\nAnswer: 96453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/(-5) + 2)\/(23\/115). Let j(u) = -u**2 - 3*u - 2. What is j(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-40)\/(-5))\/((-2)\/5). Let g be ((-6)\/(-4))\/((-6)\/z). Solve -4*l - 2*h = 8, l + 4 + 9 = g*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 9*r**3 + 5*r**2 + 5*r. Let p(q) be the first derivative of -q**4 - 2*q**3\/3 - q**2 + 8. Suppose 6 = -3*d - 0*d. Calculate d*n(i) - 5*p(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 = -2*l + 11, 5*f - 23 = -3*l. Let k = 1369 + -1364. Sort k, -7, f in ascending order.\nAnswer: -7, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 7*d**2 + 14*d - 12. Calculate r(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (35\/105)\/(2\/7776)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139103?\nAnswer: 113, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4589*h - 2921. Is n(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 42*c. Let q(f) = -14 + 9*f**2 + 34 - 46*f - 20 + 42*f. Give q(j(z)).\nAnswer: 15876*z**2 - 168*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7435616?\nAnswer: 2, 232363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 3*w - 3*w + (0 + 0 - w)*(-3*w - 2*w**2 + 3*w) - 2*w + 2*w + 3*w**3)*(-w - 1 + 1).\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6454 and 2766?\nAnswer: 19362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 4\/6 + (-320)\/(-15). Let t(z) = -197 - g*z**2 + 197. Let b(s) = -s**2. Calculate t(b(j)).\nAnswer: -23*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7848107 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(832))*-1 + 0)**2 + 4.\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 343579 - 343582. Let m = 1 - -1. Let g = m + -1.5. What is the fourth smallest value in g, 4, u, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -32. Suppose x*g + z = -0*g + 11, 3*z - 6 = 0. Suppose 4*p + 0*t = 2*t + 14, t - 5 = -4*p. Solve -g*k = -7*k - 8, -3*c = -p*k - 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - r + 154 = 5*p, 4*p = 5*r + 294. Suppose 3*q + q = p. What is the highest common factor of 57 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 9. What is h(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23815498 and 3871.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1103637509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5555 divided by -5\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000441654 to five decimal places.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 19*k - 6. Let o be z(4). Find the third derivative of -4*v**2 + 0*v**5 - 6*v**5 + 70 - o wrt v.\nAnswer: -360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 156, 249, 324, 375?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d - 3. Let g(l) = l + 1. Let o(n) = 2*c(n) + 7*g(n). Let v be o(4). Let f(h) = v - 5 - 2*h. Let p(u) = -2*u. Calculate f(p(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/8)\/k**(-3))\/(k**(1\/2)\/k**(-1))*(((k**0*k)\/k)\/k)\/k**0*k**(1\/7)*k*((k**(-4)\/k)\/k)\/k assuming k is positive.\nAnswer: k**(-307\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -11*a**5\/20 - 21*a**2\/2 - 17*a + 1. What is the first derivative of o(h) wrt h?\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 - 12.4. Let n = 8 + i. Let t be 8\/(-126) - 4\/18. Put t, n, 0.1 in descending order.\nAnswer: 0.1, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 11 - 20 = 0. Let j = f + -28. What is the smallest common multiple of j and (-10)\/(-2) + (-32)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 20.8.\nAnswer: -12.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.98 + 33.8. Let q = z + 0.18. Which is the closest to 0.1? (a) 0.5 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.248 times -146.99\nAnswer: -36.45352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(3\/5))\/s**28 assuming s is positive.\nAnswer: s**(-138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**2\/2 + 6649*x\/2 - 16635 = 0.\nAnswer: -6654, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 633 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -2\/7, 7\/32 in decreasing order.\nAnswer: 3\/2, 7\/32, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0*w - 2*w**3 - 24*w**2 + 2*w + 9*w**2 + 13*w**2 in the form a + v*w + y*w**2 + x*w**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/2)\/((-2)\/4). Let z = -7 - -3. Let c be z\/(-10) - 414\/m. Solve -o - 2*o - 7 = -4*q, 4*q + 4*o = c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0. Let q = -62.5 + 63. Which is the closest to k? (a) 2\/21 (b) 5\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 21367?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01713432 rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/n**(-1\/4))*n)\/n)\/(n*(n*n\/(n\/(n*n**1)))\/n*n))\/(n*n\/((n*n\/n**(-1)*n)\/n))**12 assuming n is positive.\nAnswer: n**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -403581252 != -403581252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -25*h - 3. Let m(q) = 6*q + 1. Let w(c) = -9*m(c) - 2*u(c). Suppose -2*v - 10 = 2*f, 25 = 27*f - 44*f - 2*v. Determine w(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 13 - 2 = 0. Suppose -r - 2*u - 13 = 0, -4*r + 0*u = 3*u + 77. Let b = r + 50. What is the remainder when b is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/504 and -33?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 4*y + 18, -2*y = -2*i + y + 2. Let s = 44 + -43. Let v be 4\/(-18) + (-38)\/(-9). Put v, i, s in decreasing order.\nAnswer: v, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, b: 1, s: 1, q: 1, r: 5, y: 1}. Give prob of sequence qy.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*t**3 - 318*t + 318*t - 28*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 y when three letters picked without replacement from {b: 2, x: 1, y: 9, r: 6}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 6, 1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 176900 to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 278 - 277.5. Let u = 0.1 - 0.2. Which is the nearest to u? (a) 4 (b) f (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 2*k**2 - 2*k)*(-7*k + 2*k - 2*k) to c*k**3 + m + q*k + v*k**2 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(-4))\/(-7)*9\/135.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 76207, 3, -4, -108 in descending order.\nAnswer: 76207, 3, -4, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*s + 51*s - 45. Let y = s + -7. Solve 5*o - o + y = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/17)*p*p*p**(4\/3)*(p*(p*p**(-3))\/p)\/p**(-8) assuming p is positive.\nAnswer: p**(470\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6964 or -24.238?\nAnswer: -24.238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17195900 rounded to the nearest one hundred thousand?\nAnswer: 17200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -964 or -4818\/5?\nAnswer: -964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2807 - -2951. What is the highest common divisor of m and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, s: 5, a: 4}. Give prob of picking 1 s and 1 a.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 332465.8 centuries in months?\nAnswer: 398958960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*n - 3 - 3, -n = -4*b + 4. What is the third derivative of 4*s**2 + 3*s**b - 25*s**2 + 10*s**6 + 5*s**6 wrt s?\nAnswer: 1800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, -14, 5, -4 in decreasing order.\nAnswer: 6, 5, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - a - 2. Let k be z(2). Let y = 17 + k. What is the remainder when 65 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 - 3*a + 23. Let u be j(-4). Let i(r) = -r**3 + r**2 + r - 1. Let o(t) = t**3 - 3*t**2 - 3*t + 3. Determine u*i(s) + o(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7298, 14237, 20794, 26777, 31994, 36253?\nAnswer: 39362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*a, -23 = 3*c - 4*c - 4*a. Suppose 0 = 3*o - 7*o - j + c, 0 = 2*o - 4*j - 8. Solve 5*z = o*p - 21, 2*p + 2*z + 2 = 6*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8348, 35861, 82516, 148301, 233204?\nAnswer: 337213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 840 + -839.999999493. What is v rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -32?\nAnswer: 15\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 4*j**2 + 6*j + 7. Let a be n(-5). Sort 16, a, 3, 1 in ascending order.\nAnswer: 1, a, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/3)\/(8\/48). Let h(q) = 5*q**n + 2*q**3 - q**3 + 0 + 6 - 5*q. Suppose -43*d = -32*d + 66. What is h(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.517 + -0.117. Let z = -1.43 - -6.02. Let d = z - j. What is d rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - f**2 + 1. Let k(v) = 2 - 5*v**3 + v**3 + 9*v**2 - 14*v**2. Let j(s) = 5*g(s) - k(s). What is the derivative of j(i) wrt i?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1512477984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**11*s**(-3\/20) assuming s is positive.\nAnswer: s**(217\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 2*g + 5*t = 333, -19*g + t + 1574 = 1660 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-308)\/55*-28*55 - -2*1?\nAnswer: 2, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2596*i**2 + 2761*i**2 - 5175*i**2 in the form m*i + z*i**2 + g and give z.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3733*x - 445. What are the prime factors of n(17)?\nAnswer: 2, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1725*c + 198*c - 3429*c - 7529*c to k + a*c and give a.\nAnswer: -9035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0 - -7 - 3) + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y - 40. Let l be k(-12). Let s be (-2 - 1*l)\/(34\/51). Solve 4*x + 5*q - 1 = 0, -2*q + 8 = -3*x + s*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-42 + -16 + 34).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18271 + 18270.994818. Round g to 5 decimal places.\nAnswer: -0.00518","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4)*(-17 + 15). Let v be 9\/m - -2 - 16. Let s = -17 - v. Solve -2*p + p = s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -5.17789?\nAnswer: 4.67789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 7*y - 11. Let c be r(-6). Let f = c - -15. Calculate the greatest common factor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vitvlnlnvlr. Give prob of picking 1 i and 1 l.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + u = -74, 5*u = 5*i - 3*i + 26. Let g = 18 + i. Suppose -4*n - 21 = 5*a, -3*a - 2 = -2*n + 15. Put a, g, 2 in ascending order.\nAnswer: a, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 3:04 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-340624 + -1)\/(5\/80). What is d rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76783*l + 76744*l = -234 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 5 = -3*o. Let d(s) = 2*s**2 + 4*s - 5. Let w(h) = 3*h**2 + 5*h - 6. Let u(v) = o*d(v) + 4*w(v). Find the first derivative of u(i) wrt i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*m + 8*m = 26, 3*m = 15. Suppose -2*c = g + 3, -3*g = -2*c - 5*g - p. Find the third derivative of 4*s**2 - s**4 + 0*s**4 + c*s**2 + 3*s**4 wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by -27?\nAnswer: 37\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 5) to base 6.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 0 + 4 - 1 + 0.\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/(-95))\/(66\/(-15)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/2 - 11537492*x - 23074983\/2 = 0 for x.\nAnswer: -23074983, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 101.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*j - 4*j - 36, -r - 12 = 5*j. Let c(p) be the first derivative of 3*p**4\/4 - 4*p**3 + 7*p**2 + 7*p - 55. Is c(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, d: 4, n: 4, a: 1}. What is prob of sequence gn?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -523405 times -124?\nAnswer: 64902220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/(-2)*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 35*c**2 + 65*c - 34. Let f be b(-33). Let z = -4 - 2. Let o be ((-3)\/z)\/(f\/(-12)). Solve 2*m - 3*s = o*m + 11, 3*m = 5*s - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -375*o**2. Let i(l) = -11*l**2. Let c be 10\/(-6) - (-29200)\/(-219). Give c*i(d) + 4*s(d).\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 - -38. Let o = 77 + j. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -169 + 177. Sort p, 5, 4.\nAnswer: 4, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 3*b**2 + 3*b + 1. Let s be x(-2). Let m be -9*(s\/3 - 0). Suppose 3*p - m*p**4 - 2*p - 2*p**5 + p**2 + p**3 + 3*p**2 - p**2 = 0. Calculate p.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-4*(3 + sqrt(1872)) + sqrt(1872) - sqrt(1872))*-1)**2 + (-1 + sqrt(1872))*2 + 6*-2*sqrt(1872) + 2.\nAnswer: 1032*sqrt(13) + 30094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 28. Let z be 72\/27*3\/2. Suppose -2*p - 60 = -5*p + 2*l, -z*p + 3*l = -79. Calculate the least common multiple of p and s.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-3))\/4 - (-182)\/21. Suppose 5*x - 14 = -2*h, -5*h - 5*x = -5 - 15. What is the lowest common multiple of (9 - -6) + (z - 0)\/3 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.82 to 1 dp.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2149775 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (1 + -5 + 4 + -16 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -37317\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -2439, -3\/5, -0.3, -2, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-40)\/(p**(-2\/7)\/p*p)**(-4\/7)*(p\/(p*(p**(-1\/2)*p)\/p)*p)\/(p*p\/p**2)*(p*p*p**(-1))**41 assuming p is positive.\nAnswer: p**(8069\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1582 = 5*i + 3*g, -4*i - g = -6*g - 1273. Suppose 3*m = 2*x + 2570, 5*m - 4*x + i - 4599 = 0. List the prime factors of m.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 10*v**2 + 9*v - 8. Give r(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/9 and -87\/10274.\nAnswer: 92466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 14 = 5*d - 10, -d + 10 = -3*h. Suppose 3*j = d*p + 8*j, j = 2*p. Solve 3*y - 20 = 4*g - y, p = -g - 2*y - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q - 20, -5*y - 3*q + 132 = 0. What is the greatest common factor of y and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, i: 4}. Give prob of picking 1 o and 2 i.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -22843 at most as big as -22841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0, 39, -14, -3 in decreasing order.\nAnswer: 39, 9, 0, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/12 - 9\/6. Let f = 1.8 - 1.9. Let w = 1.8 + -1.4. Which is the biggest value? (a) o (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-4 + 6 - 3)*(-1 + 1 + 1)*(-3*l - 2*l + 4*l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 13*b**3 + 1. Let t be m(1). Suppose 131 + 345 = -2*s + 4*d, -3*s + 4*d = 714. Let i = -84 - s. What is the greatest common divisor of t and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 921 (base 10) to base 3\nAnswer: 1021010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**(-2\/11))\/z)\/z)**44*z**(-1)*z**2 assuming z is positive.\nAnswer: z**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/44 and 57\/2336.\nAnswer: 25696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17\/5 - (-6)\/(-15). Suppose 0 = -s - i*s + 4. What is the remainder when 23 is divided by (s - 2)\/((-2)\/16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15521957?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k - 7*k + 15*k + 29*k**2.\nAnswer: 29*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (2 + 5 + -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 18. Suppose 0 = -z*d + d - 52. What is the lowest common multiple of d and 18?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27007*z**2 + 6*z**3 - 26993*z**2 + 54000*z**2.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19418, 39311, 59204?\n\"Answer: 19893*m - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -719 (base 12) to base 14\nAnswer: -537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3747391 to the nearest 100000.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3))**8)**(-1\/44) assuming t is positive.\nAnswer: t**(-2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -39*o - 6976. Give u(-173).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 319864853 - 0.112?\nAnswer: 319864852.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 + -0.36. Let x = 3 + -4. Let u = 40.1 + -40. Which is the nearest to x? (a) p (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 809677778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 23, 0, 8\/11?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**2 + 1\/20*a**5 + 0 + 17*a - 1\/6*a**4 + 1\/2*a**3. Let u be 1\/3 - 45\/(-27). Calculate x(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -229 - -168.4. Let n = x + 56. Let m = n - -12.2. Round m to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47246 (base 8) to base 6.\nAnswer: -233114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 106.\nAnswer: -42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 183 = 189. Let r(p) = -p**3 + 4*p**2 + 8*p - 3. Calculate r(b).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*d + d - d)*(-3 + 0 + 4) as x + i*d and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-2)\/(-12))\/(58\/(-812)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -8, -7.\nAnswer: -8, -7, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1617)*1)\/((sqrt(3) - sqrt(192)*2) + sqrt(3)) - (sqrt(33)\/(sqrt(3)*-4 - sqrt(3)) - (4 + 2*sqrt(11))).\nAnswer: 4 + 17*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 688 and 224.\nAnswer: 9632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 at least as big as -59496\/977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*w*x**2 - 25*i*w*x - 2*i*w - 161*i*x**2 - 7*i*x + 1124*w*x**2 - 13*x**2 + 31*x + 112 wrt x.\nAnswer: -4*i*w - 322*i + 2248*w - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 374 + 56. Calculate the greatest common divisor of 129 and x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 8*y**2 - y + 10. Let u be m(8). Find the first derivative of -6 - 3*i**2 + 2*i**4 + 3*i**u + 3 wrt i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -251484 by 4.\nAnswer: -62871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 183431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 6. Let y be p(5). Suppose -k - y*k = 0. Let v be k - 0*(-2)\/(-2). Which is greater: 2\/9 or v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u = 41*u - 63. Let v(k) = k**2 + 4*k + 1. Let c be v(-5). Factor -5*f**3 + 8*f**3 - c*f + u*f.\nAnswer: 3*f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**5 + g**3 - g**2 - 2. Let k(w) = -3*w**5 + 17*w**4 - 56*w**3 + 80*w - 8. Let d(f) = -k(f) + 4*q(f). Factor d(x).\nAnswer: -x*(x - 2)**2*(x + 1)*(x + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3)**41\/(r**(3\/4)\/(r*r**(2\/13))))**(-3\/26) assuming r is positive.\nAnswer: r**(-19251\/1352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g**5\/19 + 2406*g**4\/19 + 77144*g**3\/19 - 332574*g**2\/19 + 234572*g\/19 + 18480\/19 = 0.\nAnswer: -28, -1\/14, 1, 3, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 - -148. Suppose 3*r - 2*r - 30 = -2*s, -3*s - 2*r + 44 = 0. What is the remainder when v is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4001455917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8736 divided by 624.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 5*s**2 + 5*s. Let n be 2\/3 - (-20)\/(-3). Is q(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97*b + 2*b + 10*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 98*u**3 + 7*u**2 + 7*u - 29. Let l(g) = 4*g**3 + g**2 + g - 1. What is 7*l(h) - s(h)?\nAnswer: -70*h**3 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4034992, 4034985, 4034974, 4034959, 4034940?\n\"Answer: -2*o**2 - o + 4034995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -206*r + 3301. Determine v(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 23*p + 23*p. What is the nearest to 12 in 10, -3, p?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108412, 1, -446 in increasing order.\nAnswer: -108412, -446, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -999, -2247, -3995, -6243, -8991?\nAnswer: -12239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-113)\/(408608\/192))*-1*10\/5?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Let h = -2.24 + 2.14. Which is the closest to 0? (a) -4 (b) l (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 - 58. Suppose -3*f = -8*f + 3*o - 5, -u = -f - 5*o. Suppose -2*c + 5*b + 11 = 0, -4 = f*b - 6*b. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.74 - 6.61. Let j = -2.17 - s. What is the third biggest value in -0.6, 1\/2, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259 and 259?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30703495 rounded to 2 decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 - -2280381?\nAnswer: 2280362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -432448026 or -432448027?\nAnswer: -432448027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 - 4 + 0 + t**3 - 2*t - 5*t**2. Let y be v(-5). Solve 4*g = 4*z - 20, 4*z - 2*g = y + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/117 - (-1746)\/(-567)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*w + 6, -5*w - 1 + 10 = -2*l. Suppose -j + 0*v = 2*v, -w*j - 3*v = -9. Let p be j\/9 - 52\/(-12). What is the nearest to -2\/7 in 0.07, 0.3, p?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 4 + (-6 - -8) + -7 - 1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqqvqjjvqqjqjvqqqqj. What is prob of picking 2 q, 1 v, and 1 j?\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 + 195*c\/2 - 97.\nAnswer: -(c - 194)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -361*r**5\/30 + 123*r**4\/4 + r**3\/3 - 1616*r**2. What is the second derivative of i(u) wrt u?\nAnswer: -1444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 3:11 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i. Suppose -5*j + 3*v + 33 = 0, i*v = -3*j + 4*v + 11. Let y(q) = -q + 19. Is y(j) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646.7 plus 807.3986?\nAnswer: 1454.0986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 167266, 167267, 167268, 167269, 167270?\n\"Answer: m + 167265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33766?\nAnswer: 2, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttttiitt. Give prob of picking 2 t.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-417)\/9 + (1 - -3). What is the highest common divisor of 26 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509529648 to the power of 1\/2, to the nearest integer?\nAnswer: 22573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1689548 by 20356.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(-8 - (-228)\/36).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.112 - 3.888. What is the smallest value in -2\/13, 27, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1093212 divided by -6?\nAnswer: 182202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8503 or 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -7*s + 100. What is r(20)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 60 = -14*d. Suppose d*j - 26 = -q, 6*q - 11 = -3*j + q. Let f(r) = -4*r**3 - 6. Let c(n) = -5*n**3 - 7. Give j*f(w) - 6*c(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 2*d + 4*x + 21, 3*d + x + 29 = -44*x + 50*x for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from gggqggggggq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/3 - 56*g**4\/3 + 506*g**3\/3 - 532*g**2 + 528*g = 0. What is g?\nAnswer: 0, 2, 3, 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**2 + 3*i + 1. Let p be y(-1). Let f be (0*(-1)\/3)\/(-1). Suppose 4*q + f*q = 0. What is the nearest to 2\/3 in p, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-2)))**(-17))**(-1\/27) assuming a is positive.\nAnswer: a**(34\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b8a3 (base 12) to base 2.\nAnswer: -11001001100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 779510987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.278049 to 2 dps.\nAnswer: -1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Which is the closest to f? (a) 0.1 (b) -2\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - ((sqrt(68) - (sqrt(68) - (sqrt(68) + (sqrt(68) - -3*sqrt(68))))) + sqrt(68)))*-3)\/(sqrt(80)\/sqrt(5)).\nAnswer: 15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 20*r**3 + r - 1. Let y(k) = -21*k**3 - 3*k + 2. Determine 3*x(d) + 2*y(d).\nAnswer: 18*d**3 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5\/15286768?\nAnswer: 5\/15286768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 364105 a multiple of 460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*s - 3 = 0, 13*s = 4*l + 11*s - 10. Suppose -5*k = o + 1, 0 = 2*o - 0*k - l*k - 10. Solve -7*f - o = -9*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*d + 326 + 114, -4*d = -2*r + 176. Let y = r + -53. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/549372 and 149\/204?\nAnswer: 549372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1228600 - 3?\nAnswer: -1228603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/68)\/((-7)\/(-8))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1374755+-174868\nAnswer: -174867.8625245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -28 + 2*f**2 - f**2 + 5*f - 51*f**3 + 17*f**3 + 32. What is the remainder when 52 is divided by m(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + 12. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104\/3 + 35. Let x = -171501.625 + 171502. Which is greater: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + -1 + 30396092\/2146 + (-2)\/29.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-2\/9)))\/g*g**11*(g*g*g**(-2\/9)*g)**37 assuming g is positive.\nAnswer: g**(1013\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 3*g**5\/5 - 9*g**4\/2 + g**3 + 36*g**2 + 48*g - 17. Factor n(i).\nAnswer: 3*(i - 4)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-36)*2\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1253056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 3646906*g - 51057076.\nAnswer: 2*(g - 1823467)*(g + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 - 16 = 11*a - 53. Solve 5*k + 5*n = -a, 3*n = 3*k - 1 + 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-5 - -11) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2863497 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*q - x - 34 - 27, 15*x - 12*x - 41 = -5*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 11644.19\nAnswer: 23288.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2*k + 11, 0*c = -c + 5*k + 15. Solve 10 = c*j + 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 27. What is the greatest common divisor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13134\/(-3570) - -4) + 2\/(-7). Is 1 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40659 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8351 - 8365. Which is the nearest to z? (a) 2\/3 (b) 84 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, r: 1, t: 8, n: 2}. What is prob of picking 1 r, 2 b, and 1 n?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42963 is divided by 82.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000327065 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/21*u**3 + 0*u + 4\/21*u**2 + 0.\nAnswer: -2*u**2*(u - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3806)\/(-264))\/(-173))\/((-3)\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2178064 - 1021064. Round x to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufm when three letters picked without replacement from {m: 2, u: 1, f: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/2 + 407*h - 5347455\/2 = 0. Calculate h.\nAnswer: -2755, 1941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*g - 34. Let a = 17 + g. Find the second derivative of 3*d**5 - a*d**5 - d**5 - 2*d + 5*d**5 wrt d.\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 953 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x**3 + 341*x**2 - 2565*x + 20. Determine g(9).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*u - 468 + 1439 - 466 - 505.\nAnswer: -154*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 5, -4, 0, 763, 28 in decreasing order.\nAnswer: 763, 28, 5, 3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1101 - -1?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1313143 (base 6) to base 8.\nAnswer: -214467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3)*n**(-1\/6)*n**7*n*n**(-1) assuming n is positive.\nAnswer: n**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 14. What is the remainder when 6 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 10949946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*c - 170. Let k = -30 + c. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffofffffffffoff. What is prob of sequence of?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1838 + -0.275.\nAnswer: 1837.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 9. Let o be r(19). Let b be ((-395)\/o)\/(2 + (-6)\/4). Let z = b + -76. Solve 0 = -z*u - u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12708539 or -63542688\/5?\nAnswer: -12708539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-2)\/(-5)*(-166 - -171)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 - 0.4. Put 5\/6, q, 2\/33 in decreasing order.\nAnswer: 5\/6, q, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 - -56. Calculate the greatest common factor of 24 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3269\/24, -0.1, -1\/7 in increasing order.\nAnswer: -1\/7, -0.1, 3269\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*l - 36 = -31, -3*p - l = 3. Let n be (-1)\/4 + 2\/(-4). What is the third biggest value in 5, p, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 6\/2)\/(-1). Let w be s - -3 - (-4)\/2. Suppose 204 = -41*t + 230 + 179. Put t, -1, w, 2 in increasing order.\nAnswer: -1, 2, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4248.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -4, -5, 0 in decreasing order.\nAnswer: 5, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 2, b: 4, p: 5, u: 4}. Give prob of picking 1 c and 1 x.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 548*h - 264*h - 275*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (190\/(-1064))\/((-40)\/32)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/7632 and -11\/3392.\nAnswer: 30528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-2) + (-3)\/(-2). Suppose -x*y = 5*v - 24, 0*v - 36 = -3*y - v. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1141? (a) 0.06 (b) -19 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -9214*i + 9216. Calculate j(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 16, -4, -5, -184, -39 in descending order.\nAnswer: 16, 1, -4, -5, -39, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, m: 19}. Give prob of picking 1 b and 3 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.62109 to 2 decimal places.\nAnswer: 1.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 89930.89 litres?\nAnswer: 89930890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 166?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -405631a + 0?\nAnswer: -405631a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, g: 1, u: 1, r: 2}. What is prob of picking 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 40275?\nAnswer: -40280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139761 is divided by 590?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/(-6))\/(13*(-22)\/(-572)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1426962 divided by 2309.\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -189755*c**4 - 2*c**2 + 41809 wrt c?\nAnswer: -4554120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 - 2*w**2 + 1 + 6*w**2 + 4*w**3 in the form j*w**3 + c + u*w**2 + f*w and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98731, -98738, -98745?\nAnswer: -98752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 4. Let d be (20 - (9 + (-4 - -4)))*2\/11. Let m = d - g. Put -10, m, -0.5 in descending order.\nAnswer: -0.5, m, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/9)\/(1\/3). Suppose -4811*t = -4677*t - 134. Sort t, -19, o, 0 in ascending order.\nAnswer: -19, o, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131457 take away -141155?\nAnswer: 9698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 194*f**3 + 288*f + 60292.\nAnswer: 582*f**2 + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*t + 3*t - 56, -3*w - 17 = -2*t. What is the greatest common divisor of 5 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-569*k**4 + 430*k**4 - 563*k**4)*(1 - 6 + 3) + (-1 - 2*k + 1)*(-2*k**3 + k - k) to y*k**4 + r*k + n + w*k**2 + p*k**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, 11, 39, 91, 173, 291, 451, 659?\n\"Answer: j**3 + 3*j**2 - 6*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - -459?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-90)\/(-4))\/(24\/368)?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*-1*(-2 + 3). Let k(n) = 2*n**2 + 7*n + 5. Let p be k(h). Solve d - 14 = -3*z - 2, -p = -5*z + 2*d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 0, 17 in descending order.\nAnswer: 17, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*v = 34*v - 90 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 != 131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 16. Let w be i(16). Suppose w = -13*v + 99 - 21. Solve -3*p = v, 1 = -2*l + 2*p + 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q - 3*i - 93 = 0, 2*q + 5*i - 142 = 0. Calculate the greatest common factor of 27 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 9:00 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -30. Let d = i + 23. Let h(p) = -p. Let z be h(-3). Solve 2*n - 2*t + d = -z*t, -t = n + 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444.714669 minutes in weeks?\nAnswer: 0.04411851875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5482219830 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.788717 litres to millilitres.\nAnswer: 788.717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbz when three letters picked without replacement from {z: 1, m: 1, b: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*d + 315 + 127. Let m(w) = 3*w - 2. Let h be (-10)\/35 + (-44)\/(-7). What is the smallest common multiple of d and m(h)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/6))**27 assuming m is positive.\nAnswer: m**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k**2. Let u(s) = 5*s**2 + 2*s. Let c(b) = -6*b**2 - 3*b. Let f(w) = 2*c(w) + 3*u(w). Give m(f(v)).\nAnswer: -54*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -2*w - 2335. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 196 and 826.\nAnswer: 11564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*y - 12*y - 43*y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/2 - (28\/8)\/(-7). Let l(j) = -5*j**2 - 11*j**2 + 15*j**b. Let i(f) = -12*f**2. Give l(i(o)).\nAnswer: -144*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11338.306 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2121 (b) 1\/7 (c) -3\/7 (d) 246 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 53, 37, -15, -115?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 6*w**2 + 5*w + 4. Let k be p(7). Let j = -1 - k. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*(sqrt(1053) + 1))**2 - (sqrt(117) + 1 + sqrt(13)*-1 + 4))*4.\nAnswer: 1680*sqrt(13) + 101064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1296 by 2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39620?\nAnswer: 2, 5, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 11. Suppose s = -6*s + 861. What is the least common multiple of -4*(1 + 3 + s\/(-12)) and a(7)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 9*d - 4*d + 2)*(0*d**2 + 2*d**2 - 3*d**2).\nAnswer: 9*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**3 + 6*r**2 - 6*r + 10. Let d(n) = 4*n**3 + 5*n**2 - 4*n + 10. Give 7*d(j) - 6*o(j).\nAnswer: -2*j**3 - j**2 + 8*j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrmvvrsmrmvvvvrzzr. What is prob of sequence rmrr?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 288 + 18a80?\nAnswer: 19258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -17. Suppose -7*a + h = -5*a. Differentiate 25*i**4 + 100*i**2 - 100*i**2 + i**4 - a with respect to i.\nAnswer: 104*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -181*y**5\/60 - 87*y**2 + 23*y + 1. Let d(n) be the second derivative of n**3\/6 + 3*n. Determine u(d(w)).\nAnswer: -181*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44153 - 6391 = -1944*l for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**6\/30 + 4*k**5\/25 - k**4\/5 - 2*k**3\/15 + k**2\/2 - 2*k\/5 + 3. Factor y(p).\nAnswer: -(p - 2)*(p - 1)**3*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486020 is divided by 69404?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/736 + 879\/6739?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*u + 10*u + 11*u**2)*(2 - 8 + 2)*(5*u + 0*u - 2*u)*(-3 + 0 + 4)*(-2 + 1 - 2)*(-4*u + 5*u + 4*u) to w*u**4 + l*u**3 + v + h*u**2 + g*u and give w.\nAnswer: 1980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -766*a**2 + 5*a - 5. Let o(q) = 770*q**2 - 4*q + 4. What is -4*g(k) - 5*o(k)?\nAnswer: -786*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5584 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**9\/1008 - f**5\/40 - 3*f**4\/8 + 5*f**2. Let x(j) be the second derivative of n(j). Differentiate x(t) wrt t.\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwnw when four letters picked without replacement from {t: 3, w: 5, n: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6132 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 44. Suppose 717 = o*h + 77. Calculate the smallest common multiple of -15 + 28 + 1 + -4 and h.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16424 and 212863252?\nAnswer: 8212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010510267 rounded to 6 dps?\nAnswer: -0.01051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -67\/6492829?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 7) in base 12?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + 7.4. Let x = 5667.4 - 5667.9. Sort n, x, -3 in decreasing order.\nAnswer: n, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24159 - 24166 + o**2 - 24162 + 72487.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 2. Let n be 2 - -18 - (-4)\/2. Suppose -4*o = 4*j - 8, 3*o - 6 = -4*j - 2*o. Suppose n = -j*g + 2. Calculate a(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 17. What is the lowest common multiple of q and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 125*h + 0 + 0 + 50*h**2 - 122*h - 85*h**2 as z + s*h + d*h**2 and give d.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 114*y - 338688.\nAnswer: 2*(y - 441)*(y + 384)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o\/(o**3*o)*o*o**(-1\/3) assuming o is positive.\nAnswer: o**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 26. Let q = -27 + t. Is 8 a factor of ((-48)\/(-10))\/((-3)\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 4:31 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 759*x = -762*x + 3, o + 29 = -4*x for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9 = 1. Sort -1, d, -26 in ascending order.\nAnswer: -26, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a week in hours?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 145164\/(-54) + 2\/9. Let i be (-6)\/(-21) + (f\/(-49))\/4. What is the greatest common factor of i and 448?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 + b. Let g(d) = -246*d**2 + 2*d. Let s(o) = g(o) - 2*n(o). Let y(v) = 3. Let m(w) = w + 3. Let k(p) = -2*m(p) + 2*y(p). Determine s(k(h)).\nAnswer: -968*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 - 56. Suppose 5*h - 116 = b. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 224344 (base 7) in base 13?\nAnswer: 15265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8863 (base 9) to base 11\nAnswer: 4a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2\/5 + 1950010*f + 4753173750125 = 0.\nAnswer: -4875025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 16 - 45 + 4 + 3*a**2 + 441*a + 25 = 0.\nAnswer: -147, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - (3 + -7))\/((-1876)\/1072)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4.2695 (b) 3 (c) -0.0672\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1980*l**4 - 4328*l**3 + 5220*l**2 + 1136*l - 48 = 0.\nAnswer: -3, -2\/9, 2\/55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.934 * 0.01.\nAnswer: -0.00934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28665 and 2054715?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76 - 3146*l + 174 - 250 to the form n + r*l and give r.\nAnswer: -3146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.3 * -11.\nAnswer: -102.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 3. Suppose f*h = 100 - 30. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 732 and 25864?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6471, -6409, -6347?\n\"Answer: 62*j - 6533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 20*r**2 + 23*r - 31. Let y be s(21). Let c(t) = -2*t - 2. Let d(x) = -x - 1. Determine y*d(q) - 6*c(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 - -669216361429.\nAnswer: 669216361478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (32 - 4)\/(4 + -2). Suppose -6 = 4*r + c. Is r\/15*1 - (-302)\/6 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (24 + 10)) + 6\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.758373 rounded to two decimal places?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 30092.\nAnswer: 361104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41654709?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(11\/4))\/g*g)\/(g\/g**3*g)*(g**(2\/21))**(-5\/2) assuming g is positive.\nAnswer: g**(-83\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 243\/16 - 239\/16. Let u = -1.3 + 8.3. What is the nearest to h in 1\/4, u, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*i - 16 = 0, -i + 20 = 4*i. Suppose -3*w + 2*b + 219 = b, -4*b - 12 = n. What is the highest common divisor of w and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 8621.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*a + 237147 = -202780. What are the prime factors of a?\nAnswer: 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 23 = 5*v, -k = -5*v - 6*k + 50. Let u be (20\/(-7))\/((-2)\/v). Factor 3*z + 5*z + u*z**2 - 5*z**2 - 4.\nAnswer: (z + 2)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**3 - 6*b**2 - 5*b. Let a(h) = h**3 + h - 10 - 13 + 23 + h**2. Let i(q) = 10*a(q) + 2*s(q). What is the third derivative of i(d) wrt d?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235, 244, 267, 310, 379, 480?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 21 + -38 + 13 - (8 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3092106 to the power of 1\/2, to the nearest integer?\nAnswer: 1758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 34 + 321 - 114)*(1 - 1 + 3*s**2).\nAnswer: 456*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2232.5065 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 107, 216, 369, 566?\nAnswer: 807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 123*f - 1965. Let s be m(16). Factor -44\/3*j**2 + 2*j**s - 4 + 50\/3*j.\nAnswer: 2*(j - 6)*(j - 1)*(3*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 322751 + -2034251. Round g to the nearest ten thousand.\nAnswer: -1710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -27\/509?\nAnswer: -27\/509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 4:47 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.709874357 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 10:43 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91906*n - 92088*n - 183 = 12011 for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -52, 2\/3, 2, -0.1, -0.3, -0.06?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 - 4*h**2 + 5*h - 9. Let s be n(-4). Let a = 81 + s. Let l = a + -42. Calculate the highest common factor of 37 and l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + -77. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1440810 divided by -15.\nAnswer: 96054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 0*m**3 + 0*m**3 - m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*f**3*h + 3*f**3 + 15*f**2*h - f**2 - 81*f - 109*h + 3 wrt f.\nAnswer: -66*f*h + 18*f + 30*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 12*v**2 + 4*v + 240.\nAnswer: -(v - 4)*(v + 6)*(v + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 326.1 or -3?\nAnswer: 326.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -11108?\nAnswer: -1\/11108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*j + 4*h - 32, -5*j - 4*h + 40 = 0. Suppose -2 = -2*r, -j*r + 5 = 4*g + 1. Let m = g - -53. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oopoopopvh. What is prob of sequence vo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1357.73 and -0.5?\nAnswer: 678.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -1\/2*l**2 + 0 + 1\/12*l**4 - l**3 + 2*l. Let j be v(7). Solve j = -3*w - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.44196 and -0.5.\nAnswer: 7.94196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 210965851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3 - 8*y**2 + 4*y + 32 = 0. What is y?\nAnswer: -8, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (-16)\/(2 - 6). Suppose 7*n + 7*n + 5866 = o. What is n rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) -25 (c) -5 (d) -0.14 (e) -38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 696 + -678. Let c(x) = 13*x - 219. Calculate the remainder when 24 is divided by c(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 + 3*l - 39*l**2 - 44*l**2 + 83*l**2. Let v(y) be the third derivative of -y**6\/40 + y**4\/6 + 2*y**2. Give 8*q(w) - 5*v(w).\nAnswer: -w**3 + 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -401457, -802869, -1204277, -1605681, -2007081, -2408477, -2809869?\nAnswer: -3211257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*h + 15*h - 3*h**3 - 2*h**2)*(-1 + 1 - 3).\nAnswer: 9*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 - 0.1. Let k = o + -3. Let a be (0\/(-3) - 0)\/(-1). What is the nearest to a in -0.5, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -254, 3, 1 in increasing order.\nAnswer: -254, -67, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d - 12. Let t be w(4). Suppose 7*y - 5*y = -t*c + 18, -c = 3. Suppose u + 3*a = -a + y, 0 = -a + 3. What is the remainder when u is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 948*t**3 + 2*t - 321*t**3.\nAnswer: 627*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 15. Do r and -1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -465 (c) -0.3 (d) -2 (e) -2\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -19\/12*u**4 + 98*u - 1 - 1\/20*u**5 - 4\/3*u**3 - 2*u**2. What is the second derivative of o(p) wrt p?\nAnswer: -6*p - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 34 - 4*i - 15*i + 6*i. What is the lowest common multiple of 56 and l(-14)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 1.9213?\nAnswer: 5.9213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 w when three letters picked without replacement from {w: 5, f: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/25896960 and 193\/44160?\nAnswer: 595630080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 24*d**2 - 51*d - 10. Give z(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -176116*x**4 - 2*x**3 + 3*x**2 - 10036*x - 2 wrt x.\nAnswer: -4226784*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15281657\/8 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -2.71, 1.\nAnswer: -2.71, -3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/23 (b) 21 (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*k - 4*k + 5*k)*(47*k - 12*k + 16*k) - k**2 + 4*k**2 - 2*k**2.\nAnswer: -764*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 0*l - 2*l - 7*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 f, and 1 w when three letters picked without replacement from mwmmf?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8874919 a multiple of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (730\/22 - (-12)\/(-66))*1. Let s be -5 + -2 + r\/5. Let o(l) = l**2 - 11*l - 17. Let q be o(12). What is the nearest to s in 4, -1\/2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1640 and 126649?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from lttlwttlltltlltttlll?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5016 is divided by 58.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9670216?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s + 642 = 2*n, s - 165 = 4*n. Suppose 5*u = 1 - s. What is the units digit of (-1400)\/u - 1\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -i - 2*i, 3*h + 5*i = -3. Let g be (-805)\/h*(-4)\/(-30). Let a = -27 - g. Put -0.2, 1, a in ascending order.\nAnswer: -0.2, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, -2457761, 1\/4, 3?\nAnswer: -2457761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793614036 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12 = -4*t. Solve -5*g + t = -0*r - 3*r, g = 3*r + 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 19. What is w rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4\/3 - 65*y**3\/3 + 235*y**2\/3 - 175*y\/3.\nAnswer: 5*y*(y - 7)*(y - 5)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91.008 - 0.008. Let q = 90.96 - i. Is q >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-23.316.\nAnswer: 23.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 q, and 2 l when four letters picked without replacement from {z: 6, g: 8, l: 2, q: 2}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3. Let y = -205 + 167. Let r be (y\/(-57))\/(4\/6). Let l(o) = -12*o**3. Calculate r*l(v) + 3*c(v).\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**0))**(-2)*t*t*t**5*t*t*t**4)**(4\/31) assuming t is positive.\nAnswer: t**(52\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-78) + 17\/12\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (243 - 228 - (-1 + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -158, -515, -1212, -2363, -4082, -6483, -9680?\nAnswer: -13787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 216565461 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: Suppose 540 = -0*n + 2*n. Suppose -5*o - n = 240. Does 15 divide (21\/(-6) - -3)*o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j - 578 = -50*j - 80. Let x(o) = -11*o + 4. Let b(s) = 10*s - 3. Give j*x(w) + 7*b(w).\nAnswer: 4*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.98 + -20.68. Let k = -0.04 - 4.96. Which is the biggest value? (a) -4 (b) v (c) k (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -q + 2*u + 1, -4*q - 5*u = -21. Find the third derivative of i**4 + 7*i**q - 8*i**4 + 19*i**2 + 16*i**5 wrt i.\nAnswer: 960*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - -16?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**3. Let r(u) = -4*u**3 + u**2. Let s = 1049 + -1046. Give s*r(f) + 2*v(f).\nAnswer: -2*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 + 26*z + 94. Let u(d) = -52*d + 68 - 208 - 142 - 11*d**2 - 27*d. Let n(w) = 7*l(w) + 2*u(w). Differentiate n(b) with respect to b.\nAnswer: -2*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 + 75 = 2*u. Is u <= 150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/17, 5, -33 in descending order.\nAnswer: 5, 3, -2\/17, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 13?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -142, -511, -1270, -2545?\nAnswer: -4462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1700, -2138, -2866, -3884, -5192?\nAnswer: -6790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**2 - p**2 - p**3 + p**5 - 4*p**4 + p**2 + 5*p**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*s = 0, -6*i + s + 8 = -3*i. Suppose 5*p - 61 = -3*a, 2*p - i*a - 40 = -0*p. Calculate the remainder when 53 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - 2*u**3 + 5*u**3)*(42 - 8*u - 42)*(-16 - 1 - 9).\nAnswer: 416*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*a - 647, 39*t + a - 1300 = 41*t. Is t greater than -654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 452 - 440. Let w(u) = u**2 - 11*u - 7. Let r be w(m). Solve 12*s - r*s + 35 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*d**3 - d*h - 203*h with respect to d.\nAnswer: 18*d**2 - h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, y: 2, g: 1, r: 2}. What is prob of picking 2 y and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5 = 1. Let a be 8\/(q + (-3 - -2)). Suppose 2*y - 523 = 5*o, -a*o = -6*y + y + 1299. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191024 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 197712647 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -218904600 rounded to the nearest one hundred thousand?\nAnswer: -218900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*t - 57*t + 3*t**2 - 5*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*f - c + 709, f = -5*c + 201. Calculate the highest common factor of 192 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -580*l + 449*l + 276*l in the form r + h*l and give h.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 29 + 4 + (1 - 7). Find the first derivative of -j*f**3 + 2 + 17 + 42*f**3 wrt f.\nAnswer: 45*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**4\/v)*v)\/v*v*v**2*((v**(2\/5)\/v)\/v)\/v*v**(-1)*(v**(-2\/7)\/v*v**(-2\/9))**(11\/4) assuming v is positive.\nAnswer: v**(-8501\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152526?\nAnswer: 2, 3, 11, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2 + (-2 + 0 + 0)*(2 + 3 - 3) + 0 + 0 + 2 + 4 + 5 - 3)*(-3 + 2 + 0)*(w**2 - 3*w**5 - w**2).\nAnswer: 9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 11:52 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4486 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (170\/204)\/((-120)\/(-54))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324132460?\nAnswer: 2, 5, 16206623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 30*s + 220. Let y(p) = 88*p. Let i be y(1). Calculate the highest common factor of s and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-25)*180\/(-162)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 451, 902, 1353, 1804?\nAnswer: 2255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from nokkounnalnk.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/(27\/81)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(8\/5)\/f*f*f)\/f*f*f**11)\/((f*f**(8\/7)*f)\/(f\/(f\/(f*f\/f**(-1\/3))))) assuming f is positive.\nAnswer: f**(1343\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3289567?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (2 - 1) - (29 - 34)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 8*k**2 - k - 6. Let f be i(-8). Suppose x + 15 = -f*x. Does 9 divide 2\/x + 448\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012500067 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17043 or 17050?\nAnswer: 17050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116 + -120. Which is the smallest value? (a) -5 (b) t (c) -2\/39 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79049, -158103, -237163, -316229, -395301?\nAnswer: -474379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 3*k**5\/20 + k**4\/4 + 4*k - 3. Let q(x) be the first derivative of u(x). Find the third derivative of q(w) wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30829483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*t - 299887 + 1075809 = 0. List the prime factors of t.\nAnswer: 7, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -528.962 - -536. Let l = 14.262 - 14.3. Let v = l + m. Is 0 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 times 36.941\nAnswer: -1847.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -10*n**2 + 17*n + 28. Let g(q) = -10*q**2 + 18*q + 27. Let f(k) = -7*g(k) + 6*r(k). Is f(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100010011110111010 (base 2) to base 14.\nAnswer: -a7014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-143)\/66)*(-93)\/(-310).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 323921 and 1096348?\nAnswer: 14252524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 94037, 376197, 846465, 1504841?\n\"Answer: 94054*z**2 - 2*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*y + 4 = y, -2 = -2*x - 4*y. Let b be 2*(1 + x + 2). Suppose 4*r - 36 - b = 0. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*b*s**4 - 110*b*s**2 - 2*b*s + 1505*s**4 - 53*s wrt s.\nAnswer: 720*b*s + 36120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3078, -6217, -9358, -12501, -15646?\nAnswer: -18793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*(-5)\/205)\/2. Let f = 35\/246 - y. Sort -4, 1.4, f in descending order.\nAnswer: 1.4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - -309) + 1 + 3 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1329\/4 + -333. Sort h, -0.2, 2\/11, -9.\nAnswer: -9, h, -0.2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**3 - 2*d**2 + 1. Suppose 3 = 3*n - 3*t, 4 = 4*n + 3*t - 0*t. Let f be x(n). Suppose -28 = -3*y + f*q, 9 = 5*y - q - 1. Is 0 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 608 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 20597*a. Let x(t) = -10*t. What is s(x(z))?\nAnswer: -205970*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 17 = x, -3*n + 4*n - 4*x - 13 = 0. Suppose -820 = -n*k + 9180. What is k rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*g = 96*g - 102 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssp when four letters picked without replacement from ssmspwppvmpppv.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14456 - 14450.9964. Let f = -0.9974 - z. Let d = f - -6. Round d to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(153)*3)\/sqrt(9).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**2 + 110397 - 110397.\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12418 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133 is divided by 933.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7310 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m**3 + 61*m**3 - 5*m**3 - 18*m**3.\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2373, -2402, -2429, -2454, -2477, -2498, -2517?\nAnswer: -2534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -78, 16 in increasing order.\nAnswer: -78, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**2 + 3*j**2 + 0*j**2. Let o(m) be the second derivative of -m**4\/2 - 8*m. Give o(k(i)).\nAnswer: -24*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.1\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -g + 3*j, 21*g + 5*j = 24*g + 22 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**5\/240 + 5*i**4\/96 + i**3\/4 + 19*i**2. Factor q(u).\nAnswer: (u + 2)*(u + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-300)\/255*(-10897)\/1923.\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -805 or -182556\/227?\nAnswer: -182556\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 10:41 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.077 + 642.323. Round y to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from {z: 2, h: 2, k: 1, v: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -8\/1515, 2, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 49*p**6\/24 - 7*p**5\/4 - 5*p**4 - 10*p**3\/3 - p**2 + 14. Factor u(n).\nAnswer: 5*(n - 1)*(7*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 282590 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-9)*(441\/(-35))\/21?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2144103722.\nAnswer: 2, 1072051861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9 = -0*b. Let v(c) = 10*c**2 - b*c**3 + 3*c + 4*c**3 - 4*c**2. Does 9 divide v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -69*p**2\/2 - 348*p + 13949. Calculate s(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3185, -3181, -3165, -3131, -3073, -2985, -2861?\n\"Answer: n**3 - 3*n - 3183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z**2 - 2*z - 1. What is b(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*0.2285\nAnswer: -0.15995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2. Let q(g) = -18*g - 51997. What is q(f(s))?\nAnswer: -54*s**2 - 51997","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-30)*(13 + -10)\/(2\/(-3)). Which is bigger: k or -577?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(-3*-1*sqrt(78)*-1)\/(sqrt(24)\/(sqrt(16)\/sqrt(4)) + (sqrt(96)*1 + sqrt(96) - sqrt(6))) + -1).\nAnswer: 1 + 9*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-91 - -1)\/(-12 + 105\/10) is divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 5:03 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -90592848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -32907271 take away 0.0405?\nAnswer: -32907271.0405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(((-30)\/1495)\/(-6)). Let p be -2 + ((-12442)\/6 - -4). Let m = p - c. Calculate the common denominator of -65\/6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60984 and 926292752?\nAnswer: 6776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 2*r**2 + r. Let k be u(1). Let y be (-1 - 2)\/3*k. Let x = -4 + 6. Solve x*w + 3*w = y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 1:44 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 424638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*d, -l + 0*l + 5 = -d. Suppose -v - 14 = -3*g, 2*g = -4*v - v - 19. Suppose -4*p = -g - 1. What is the remainder when l is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -50. Suppose -15*u + 2 = -n*u. Is u at most as big as 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/65 (b) -168.41 (c) -4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -7, 7.\nAnswer: -7, -4, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33896 and 3.2.\nAnswer: 108467.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 7*q**2 - q - 8. Let u be w(-7). Which is smaller: 1\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1505.000000565 + 1505. Round k to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) - sqrt(432)*1*-2 - (sqrt(432) + 0)**2*-5.\nAnswer: 36*sqrt(3) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*f - 0*z, 4*f + 4*z = 0. Let m = 1 + f. Let a = m + -1. What is the nearest to a in 5, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-527)\/(-68) - 1\/(-4). Solve 0 = 2*x + 4*s + n, -x = s + 3*s + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7948\/7 - -4529\/4. Let r = -13249\/548 + -10\/137. Find the common denominator of r and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 20. Put 10, b, 0 in ascending order.\nAnswer: b, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 4*d**2 + 5*d - 4. Let j = 7 + -12. Let a be h(j). Let g = 2.1 + -2.4. Sort -1, a, g in ascending order.\nAnswer: a, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 7. Let b(s) = s - 6. Let d(m) = 4*a(m) - 5*b(m). Let x(n) = -18*n. Let g be x(1). Let p = g + 22. Determine d(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -273378.27525 + 273291. Let s = a - -10.27459. Let v = s - -77. Round v to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**2 - r - 2. Let y(d) = 50*d**3 + 56*d**2 + 14*d - 16. Give -8*h(v) + y(v).\nAnswer: 50*v**3 + 22*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2394 and 4557.\nAnswer: 519498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 327 - -0.70727124427.\nAnswer: 327.70727124427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.147065 to three decimal places.\nAnswer: 0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 168759 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 826280, 826095, 825910, 825725, 825540, 825355?\n\"Answer: -185*t + 826465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*n**4 - 3*n**4 - 45*n**4 - n**2 - n**4 + n**2 + (-3 + 2*n**3 + 3)*(-n - 2*n + 0*n) to the form a*n**2 + t + h*n + u*n**3 + w*n**4 and give w.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 5:59 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (8979\/(-26937))\/((-2)\/(-510))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)\/u)**(8\/3)\/(u\/(u**1*u)*u)**(-1\/21) assuming u is positive.\nAnswer: u**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 5*i**2 + 4*i - 4. Let a be d(-6). Suppose -x + 10 = 3*v, 3*v - a*v = -10. What is the remainder when 39 is divided by 4\/(0 - x)*-10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.8 - 14.5. Which is the closest to 0? (a) 2\/11 (b) 2\/105 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3))\/(3\/(-1881)*93\/3). Which is bigger: w or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76390000 rounded to the nearest 1000000?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 97319 + 97025 + 97319 - 291663.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -167 - -252. Let c = -81 + s. What is the second smallest value in -2\/9, -2\/7, c, 2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 552520955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4082?\nAnswer: 2, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -23 + 8 - -1*3. Let b = 11 + n. Let o(y) = -2*y**2 - 11*y - 12. Let j be o(-4). Sort j, 4, b in increasing order.\nAnswer: b, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(288) + sqrt(288)*-1))\/(sqrt(9)*3*-4*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2269, 18129, 61249, 145297, 283941?\n\"Answer: 2278*k**3 - 38*k**2 + 28*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -23*b**3 - 7*b**2 + 2*b + 4. Let a(v) = -21*v**3 - 8*v**2 + 2*v + 5. Let q(h) = -5*a(h) + 6*c(h). Calculate q(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109.32 + -105. Round a to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/4))**34)**(2\/143) assuming d is positive.\nAnswer: d**(85\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, 22, 70, 170, 340, 598, 962?\n\"Answer: 3*b**3 - b**2 - 4*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8143?\nAnswer: 17, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 264.42093205 to the nearest integer.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 22 = 5*x, 19*x + d + 28 = 24*x. Let o be (2\/(1 + 0))\/(-4 - -6). Solve t - x + o = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*d**3*k*w - 14*d**3*w - 48510982*d**2*k*w - 3*d**2 + d*w - d + 75513*w wrt k?\nAnswer: 5*d**3*w - 48510982*d**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 20967142*b**2 + 20967142*b**2 - 3*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from {s: 5, o: 4, a: 3, n: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/9)\/b**(2\/3))**(-1\/6)\/(b**6*b**(3\/5))**(1\/17) assuming b is positive.\nAnswer: b**(-721\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 13 = -5*x - 4, 2*p = -2*x + 6. Let r = -11\/5 + x. Which is the nearest to -1? (a) -4 (b) r (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 3*l**8\/560 - l**7\/175 - l**6\/50 + l**5\/50 + l**4\/40 + 3*l**2. Let k(d) = 0. What is d?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116100071 or -116100070?\nAnswer: -116100071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - ((-5)\/(-1))\/5. Sort 8, q, 0.\nAnswer: q, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*t = -317163 - 119492, 4*t - 327493 = -3*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1250)\/(-15))\/(7\/(-17808)). What is f rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57179\/27357 + -2\/2487. Find the common denominator of 36\/133 and a.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 - 78. Let b = -18 - r. Let c = 0.8 - b. What is the closest to 1\/3 in -7, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 7*a + 2*a = 7*a + 6, -3*m - 19*a = -48 + 196 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, m: 1, u: 11}. Give prob of sequence mdu.\nAnswer: 11\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*72\/(-243).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/105)\/((117\/(-520))\/((-3)\/(-4))).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 12:09 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 + 1 - 1 + (2 - 5 + 2)*(3*a**2 + 0*a**2 - 4*a**2 - a**3).\nAnswer: 2*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 38*s - 857. Give d(22).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + ((-9)\/(-3) - (30 - 0)). Let c = o - -272. Does 29 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 5:04 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**4 + 2*y**4 - 5*y**4)*((3 - 3 - 2)*(-2*y + 0*y + y) + y + 0*y + y + (1 - 3 + 3)*(-3*y - 2*y + 6*y)).\nAnswer: -15*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 3:29 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/13032996 and -101\/283326.\nAnswer: 13032996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/396411 and -41\/7902.\nAnswer: 1044146574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-3)*(30\/(-9) - -4). Suppose 0 = -2*o - 2*g - 3*g - 45, -d*g = 2*o + 30. Let s be (-3*(-4)\/o)\/(189\/(-630)). Solve -5*r + s = -6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.41 + 3.21. Let j = 26 + -9. Suppose -2*w - j = 2*f - 5*f, -2*f + 22 = -4*w. Which is the nearest to f? (a) -1 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*g + 23, -5*c = 3*g - 5*g - 14. Solve c*f + 16 = 0, -2*z - 3*f + 4 = 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1942465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6797, -6798, -6803, -6812, -6825, -6842?\nAnswer: -6863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - sqrt(1584)*2)*-2)\/(sqrt(32)\/(sqrt(88)\/sqrt(275))).\nAnswer: 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 401300.\nAnswer: 1203900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1623 and 103703749.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854*i - 432*i - 504 = 386*i for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -6. Let l(i) = 4*i - 1 - y*i - 2*i + 2*i. What is the remainder when 41 is divided by l(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-25) - (-2)\/10*-19. Let y = q + 7. Solve 3 = y*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1304*w**2 + 1648 with respect to w.\nAnswer: 2608*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19 (b) 2\/13 (c) 0.1 (d) -4 (e) 0 (f) -374\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.318 - -0.012. Let v = 14.33 - h. What is the second smallest value in -5, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = 0, -19*u + 21*u = 2*f - 20. Solve -f*o + 27 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -15, 5*c + i = 5*i - 775. Suppose 0 = -3*h - 560 - 247. Let w = c - h. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 6. Let f(y) = -8*y - 22. Let g be f(-2). Determine j(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/137, -2, -0.5, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*g + 9. What is the third derivative of -4*l**2 - 5*l**2 - 18*l**3 + g*l**2 wrt l?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1240360, 1240385, 1240410, 1240435?\n\"Answer: 25*j + 1240335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 2:43 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*j**5 - 2434*j**4 - 5448*j**3 - 3626*j**2 - 604*j = 0. Calculate j.\nAnswer: -302, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 548 = 72. What is the greatest common factor of j and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 132 + 690 = 0. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 32 = 3*z. What is the units digit of 327*(-2)\/9*(-19 - z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 503117299\nAnswer: -503117298.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, x: 2, r: 1, o: 1, d: 4}. Give prob of picking 1 r and 1 d.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n - 2*n - 379*n**2 + 29 + 379*n**2 + 62*n**5 wrt n?\nAnswer: 1240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33 + 3*v**3 + 6*v**2 - 2*v - 13*v + 13*v - 3*v**2 wrt v.\nAnswer: 18*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -53\nAnswer: -5\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*j + 412 - 602 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = l - 36, 0*o + 3*o + 16 = -2*l. Is 10 a factor of 2\/o - (-41)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4701, 4694, 4683, 4668, 4649, 4626?\nAnswer: 4599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12612 (base 11) to base 4\nAnswer: 10121322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(2*sqrt(6) + sqrt(6)) - sqrt(252)*2)**2*3 + sqrt(1008) + 3 + 2*sqrt(1008) + 5.\nAnswer: 36*sqrt(7) + 8599\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o - 120. Let i be ((-3560)\/(-30))\/((-2)\/(-3)). Suppose -4*g + g + 171 = 2*m, 2*m - 4*g - i = 0. Calculate the remainder when m is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(15\/(90\/42)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p - 19 = 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 1:23 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12111114 (base 6) in base 4?\nAnswer: 1131121312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -156 or -22182\/143?\nAnswer: -22182\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1922 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 223565 + -8?\nAnswer: 223557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246139?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0. Which is the nearest to 0? (a) 1\/3 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -960963*h - 5. Let j(u) = 21*u. Calculate n(j(k)).\nAnswer: -20180223*k - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnv when four letters picked without replacement from {a: 1, b: 3, y: 2, v: 9, n: 4}?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, 2.958, -3\/7 in increasing order.\nAnswer: -3\/7, 0.17, 2.958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -245? (a) 19\/6 (b) 8\/5 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019 is divided by 131?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2028 and 40?\nAnswer: 20280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -505.691827 to the nearest ten.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5840 = 5*w + h, -4*w + 2*h + 591 = -4067. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 39834?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 2 (c) -1 (d) -15\/41 (e) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 57. Let q be (-1)\/4 + (-34)\/(-8). Sort -3, k, q.\nAnswer: k, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 624 and 6656?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 210 and -11669119.\nAnswer: -11668909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 0 + m**2 + 1\/20*m**5 + 2*m**3 + 4*m - m**4. What is the units digit of r(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 523, 1103, 1789, 2641, 3719, 5083?\nAnswer: 6793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d - j - 330, -5*d - 3*j = -310. What are the prime factors of d?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0715 + 0.4715. Which is the third smallest value? (a) g (b) 5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -147 and 4116.\nAnswer: 3969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 53*y**2 - 363*y + 69. Give p(45).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/120 + (-6740)\/(-16) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/12*1416\/33099.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**3 - 1680*p**2 - 174660*p - 5242640 = 0.\nAnswer: -142, -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from fiifxciicxigigi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85\/3 + 141\/5. Let h = -46 + 50. Which is the biggest value? (a) 0.4 (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0071661 rounded to five dps?\nAnswer: 0.00717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -7234?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -240\/74083?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 2*p - 3*t, -4*p + 2*p - t = -104. Suppose 0 = 6*m - m - 135. What is the highest common divisor of m and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/3)\/(-14 + 10). Let k(a) be the first derivative of 3 - w*a**3 - a + a**2. Factor k(x).\nAnswer: -(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 2:47 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*f + 8 = 3*d, 2*f + 12 = -2*d. Calculate the common denominator of -43\/6 and (-3220)\/640*d\/(-66).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/5))**(2\/9)\/((u\/((u*u*u**4)\/u))\/u**0) assuming u is positive.\nAnswer: u**(182\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 26.2. Let p = m - 0.2. Put -12, p, 2\/13 in descending order.\nAnswer: 2\/13, p, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - (-53 + (3 + 4 - -16))) + -5.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 29 + 1. Let b be (5\/m)\/((-1)\/(-14)). Suppose -4*z = -103 - 121. Calculate the highest common factor of b and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/92 - 353\/460. Let m(o) = -3*o**2 - 210*o - 408. Let n be m(-68). Sort n, p, -1\/5, -5 in decreasing order.\nAnswer: n, -1\/5, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8582 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5))**(-9\/2)\/(d**(1\/2)*d\/d**(-9)))**46 assuming d is positive.\nAnswer: d**(-2829\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/1779841 and 68\/2288367.\nAnswer: 16018569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 14 = -55*t + 51*t, 2*n - 14 = 5*t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**3 + 42*x + 135. What is the least common multiple of 57 and u(-3)?\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -179.6 - -179. Let j = l + 0.5. Which is smaller: 38 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 3*c**2 - 19*c + 20. Let s(b) = -14*b - 7. Let y be s(-1). Is 13 a factor of g(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122d3d (base 15) to base 9.\nAnswer: 1565814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2\/21, -0.5, 0.02?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48\/5 + 0*a**2 + 52\/5*a - 4\/5*a**3 = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 + (181 - (-227 - -130)).\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**4\/3 + 244*v**3\/3 + 6674*v**2\/3 - 15616*v + 24576 = 0.\nAnswer: -64, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -2*z, -l + 3*z + 22 - 9 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1\/7, 0.5, 4, 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11903, 23809, 35715, 47621?\n\"Answer: 11906*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -42455*a**2. Let i(n) = -44*n**2. Calculate u(i(h)).\nAnswer: -82192880*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 89129 divided by 1944?\nAnswer: 89129\/1944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26, -40, -44, -32, 2?\n\"Answer: l**3 - l**2 - 18*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 675 and 12?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9888137?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 + -77. Let y = 63.0054 - j. What is y rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 9 + 15 = 0. Solve -4*y - s*q - 22 = -2*y, y + 21 = -4*q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 6*r - 10. Let x be n(6). What is the second derivative of -x*q**2 + 9*q + 98*q**2 - 9*q**5 wrt q?\nAnswer: -180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -45, -4.8, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 3, -1782, 0, -9765 in increasing order.\nAnswer: -9765, -1782, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 4*d + 3*d)*(13*d**4 - 6*d**4 + 18*d**4)*(4 + 1 - 2) + (d + d - d)*(-9*d**4 - d + d).\nAnswer: 291*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6475)\/2275 + 0 + (-2)\/13. Which is the closest to 4\/7? (a) -1\/2 (b) -1\/7 (c) u (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -25*i**2 + 5775*i - 275. Let y(z) = z**2 - 21*z + 1. Let g(j) = -2*b(j) - 550*y(j). Let m(d) = -d. Calculate g(m(s)).\nAnswer: -500*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from {f: 3, y: 5, p: 4, j: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -118, -5, -209.\nAnswer: -209, -118, -6, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3380, 3, 13, -5, -6, 1 in ascending order.\nAnswer: -3380, -6, -5, 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-111)*(-37)\/((-4070)\/(-33)).\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 5*g + 3*i + 13, -4*g - 5*i - 25 = 0. Let d be (2\/3)\/((-10)\/6)*g. Solve y - 3 = -d*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 4, -2\/9, 0.02, -8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjtjktyjttkt. Give prob of picking 2 k and 1 t.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34398.88mm in nanometers?\nAnswer: 34398880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2594*q**3 + 4900*q**3 - 50330*q - 2298*q**3 + 50330*q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -630 - -35912\/57. Let p(q) = -2*q**3 - 15*q**2 + 8*q + 34. Let v be p(-8). Suppose v*m = 39*m + 5. Is t <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, -3, -5, 0, -2515 in descending order.\nAnswer: 4, 0, -3, -5, -11, -2515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 0)*(-54)\/72. Suppose 2*y - 51 = -t*d - 5, 0 = -5*y + 2*d + 134. Let u be ((-1)\/2)\/((-6)\/312). Is u at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12378928.\nAnswer: 2, 773683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 453122 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by -105.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 106\/34 - (1 - -2). Suppose -5*p - 9 = -4*r, 2 - 1 = -3*p - 2*r. Is p at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/1198553 and -91\/13448.\nAnswer: 9588424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g + 371 - 413 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 6 = 36 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82145?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21439933 to the power of 1\/2, to the nearest integer?\nAnswer: 4630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - (-22 + 23).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18734333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 2. Let l be m(-7). Let p(r) = -7*r**3 - r**2 - r. Let o be p(l). Suppose -2*q - 395 = 4*g - 1081, 5*g + 2*q - o = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (-9)\/2)*8. Is ((-21)\/i)\/((-1)\/92) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -116*-3\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2495334, 4989450, 7483552, 9977634, 12471690, 14965714, 17459700, 19953642?\nAnswer: 22447534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1312 divided by -284408\nAnswer: -164\/35551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.12, -0.08, 0.2, -1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-6))\/(2\/(-16)). Calculate the remainder when 5 is divided by u + 5 - (0 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -777 divided by 17\nAnswer: -777\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -9 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 108907 (base 11) to base 8\nAnswer: 521373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2\/4*-8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + 2 + 1 + (-436 - -399)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -26?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11779628 a multiple of 574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -23*v + 68. Let a be s(3). Sort -89, 5, a.\nAnswer: -89, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 1. Calculate c(-16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27355833 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/2524080 and -79\/631020?\nAnswer: 2524080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2.3017 (b) 2 (c) -1\/2 (d) 3 (e) -29\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 843486 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -376803 divided by 125601\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/85372 and 97\/314.\nAnswer: 13403404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/333 and -24\/11063.\nAnswer: 99567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -4, 47.7, -2\/9 in ascending order.\nAnswer: -4, -1\/4, -2\/9, 47.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/225 and 17\/30?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10720, 42970, 96720, 171970?\nAnswer: 268720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 + (-26 - -44) + -11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-10) + 27\/(-2). Suppose 4*q + 5*c - 72 = 0, -4*q + 6*q + 5*c - 26 = 0. Let d = q + l. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 37 = a, 0*f - 2*f - 2*a + 74 = 0. Let h = f + -33. Suppose q - 110 = -4*q. What is the smallest common multiple of q and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 53 + 1 - 13033*p**3.\nAnswer: -13033*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 4*t + 2. Suppose 5*y = 63 - 8. Let q(r) = -6*r**2 + 21*r + 10. Determine y*z(c) - 2*q(c).\nAnswer: c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.749 equal to -1750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115508865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2239?\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -194*f**3 - 7*f**2 + 21*f + 31 wrt f?\nAnswer: -1164*f - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 224*d**2 + 3*d + 212*d**2 + 0 to the form h*d + z*d**2 + m and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3773682 and 1188?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3167 - 3145. Let d = 58 + -32. Let c = y + d. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -5*l - n + 20, -5*l - n + 2 = 0. Let t = l + 0. Put t, -0.5, 2 in decreasing order.\nAnswer: 2, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgz when three letters picked without replacement from zzzzggzzzzgzzzzzzg.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -53*s - 3702. Let w(o) = 3*o. Determine r(w(n)).\nAnswer: -159*n - 3702","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 - 5*g - g**3 + 26 + 4.\nAnswer: 5*g**3 - 5*g + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5\/3 + 170*c**4\/3 - 29248*c**3\/3 - 19720*c**2 = 0. What is c?\nAnswer: -170, -2, 0, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 477*j - 3713. Calculate r(8).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) 1\/9 (b) 1\/8 (c) -0.3 (d) 13\/4 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by 121011?\nAnswer: 30\/40337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.039 - -0.539. Let h = -2 + 1.5. Which is the second biggest value? (a) -3\/5 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.13397984 - -0.134. Round v to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p + 15. Give k(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-5)*x)*(x**(-9\/5)*x)\/x)\/(x*x**(-2))**(-16) assuming x is positive.\nAnswer: x**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**2 + 4*d - 2. Calculate a(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 + 11*o + 2. Let l be a(-9). Let u = l - -641. Suppose u = -3*m + 1486. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/36 and -139\/888.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 98316481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5906 is divided by 1474?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15 - -2 - 0\/(-1). Solve d = 4*g + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 27 = -5*y + 37, 2*y + 2*s = 0. Solve 13*d = y - 70 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -29, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/49 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 273.29105 rounded to 1 dp?\nAnswer: 273.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*3\/(-24)*0. Suppose 8*f - 5*f - 63 = k. What are the prime factors of (14\/f)\/((-2)\/(-222))?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbnnnnnbbbbnnnnnnn. Give prob of picking 4 b.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10905?\nAnswer: 3, 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 5:38 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4153727?\nAnswer: 199, 20873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x + 25*x = 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -1\/6 (c) 1 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41610247 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0.9. Suppose -4*q = -24 - 4. Suppose -t = -q*t - 12. Which is the closest to s? (a) 0.5 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85536, 86325, 87112, 87897, 88680, 89461, 90240?\nAnswer: 91017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 66*i**2 + 44*i**4 - 19*i**4 - 23*i**4 + 157*i**2 + 2 to the form z*i**3 + u*i**4 + s*i**2 + n + t*i and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 17. Let i be (6\/(-4))\/(27\/(-252)). Let c = i - 11. What is the remainder when j is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3463341661 to the power of 1\/2, to the nearest integer?\nAnswer: 58850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z + 57. Let c(s) = -46*s + 291. Calculate -6*c(n) + 33*p(n).\nAnswer: -21*n + 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -305470128*h**2 + 84420444*h wrt h.\nAnswer: -610940256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5896916 or -5896917?\nAnswer: -5896916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21\/14)\/((-1)\/(-4)) - 11. Put r, -4, 2\/15, -0.1493, 2 in increasing order.\nAnswer: r, -4, -0.1493, 2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + -1*2\/4. Let w = c - -4. What is the smallest value in 0.04, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93476 - -148303. What are the prime factors of w?\nAnswer: 109, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000262192627 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165 + -113. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + 6. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a5 (base 12) in base 6?\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**3 + 6*h**2 + 14*h + 14. List the prime factors of y(-3).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, -39, -62, -91, -126, -167?\n\"Answer: -3*k**2 - 8*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*a + 16*a + 43*a - 109*a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -39, -2\/5, 1\/3, 39, -4, -0.064?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 8*b - 6. What is the least common multiple of n(-6) and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5*g - 11 = 0, -31 = -4*r + 5*g + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 4*q**2 - 44*q - 80. What is f(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.12 in -2\/3, 3, 0.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 17*b - 2. Let m(q) = -136*q + 17. Let y(c) = 17*l(c) + 2*m(c). Let s(k) = -3*k. Let f(t) = 16*t. Let p(w) = 4*f(w) + 22*s(w). Give y(p(h)).\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(1\/3*-2). Solve 5*y - 4*y - 5*b + u = 0, -5*y = b - 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2901 divided by -29\nAnswer: -2901\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1437 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-7)*s))**26\/(s**(1\/7)*s)**(12\/7) assuming s is positive.\nAnswer: s**(8822\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*j = 236*j - 5361 - 939. Solve -j*b - 35 = 259 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 0.2, 1\/3, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 - -129. Is k a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**2 + w**2 + w - 6*w**2 as c + p*w + r*w**2 and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/4 and -83\/18096.\nAnswer: 18096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*v - 2*v + 6 - 6 in the form s*v + z and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**7\/315 - r**6\/36 + r**5\/90 + 5*r**4\/36 + 66*r**2. Determine b, given that x(b) = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-2\/5)*x)*x*x*x*x*x**5)\/(x**0\/x**(1\/9))*(x*x**(-2\/5))\/(x\/((x*x**(-1)\/x)\/x))*(x**(3\/4)*x)\/x**4 assuming x is positive.\nAnswer: x**(139\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 + 61 + (3 - 0 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - 339 = -411 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432823.\nAnswer: 47, 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 139950, 140532, 141114, 141696, 142278?\n\"Answer: 582*b + 139368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 36*p**2 + 28. Let l(r) = 13*r**2 + 10. Let m(i) = 5*j(i) - 14*l(i). Let h(w) = 114*w**2 - 10051 + 10051. Determine m(h(n)).\nAnswer: -25992*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32917.84429 - 32918. What is p rounded to three dps?\nAnswer: -0.156","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 1. Let b(t) = t**2 - 3*t + 1. Determine 5*a(y) - 2*b(y).\nAnswer: -2*y**2 + y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 105*b - 106*b + 2 + 5 + 0. Let v be s(-6). Let i = 8 - 3. Solve 3 - v = -i*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - 81. Let k = -63 - q. Let o = k + -63. Which is the fourth biggest value? (a) 4 (b) -0.2 (c) o (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209865 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6885 (base 9) to base 5.\nAnswer: -130344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*a - 5. What is the closest to -2\/7 in -0.3, a, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**1)**(-36)\/(f**(-2\/15)\/(f\/(f*f*f**(-1)*f))))\/((f\/(f*f**(2\/15)*f*f)*f)**(8\/5))**34 assuming f is positive.\nAnswer: f**(4559\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 13?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 784912.17 and -0.1?\nAnswer: 784912.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7264620 and 184140?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026099 rounded to four dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36769, -73489, -110209, -146929?\nAnswer: -183649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42438 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 128*b - 272 - 368 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + b - 24. Let d(j) = j**3 + 8*j**2 - j - 8. Let s be d(b). Let t(l) = -2*l - 11. Let z(c) = c + 5. Let x(n) = -2*t(n) - 5*z(n). What is x(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 72*u = 24*u - 868, 19 = -7579*x + 7583*x + 3*u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/4*12 + 2. What is the greatest common divisor of 530 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 140 - 139. Which is smaller: -3\/46 or f?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 12*g**2 + 3*g**2 - 14*g**2. Let o(a) = -6*a + 5*a - 18*a. What is o(b(k))?\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142.96*2.\nAnswer: 285.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 420515 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132413 (base 5) to base 14.\nAnswer: 1d4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 7*h**2 + 6*h - 4. Let x be s(-6). Which is the third smallest value? (a) 1 (b) 1\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**2 + 2. Let l(r) = 18*r**2 + 12*r - 29. Let u(t) = 19*t**2 + 10*t - 26. Let p(k) = -5*l(k) + 6*u(k). Give -22*n(i) - 4*p(i).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9740.153 centimeters in millimeters?\nAnswer: 97401.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.84 and -5.1?\nAnswer: -29.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 23 = 3*w, -4*a + 2*a - 5*w + 48 = 0. Calculate the highest common factor of a and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/v**(-1\/2))))**(-3\/13)\/((v\/v**(-2\/15))\/v**(-3\/2)))\/(v**(-4)*v*(v\/v**(-1))\/v*v)**(13\/2) assuming v is positive.\nAnswer: v**(1373\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, -0.2, -1\/11, -2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(1 + 7*z - 17*z + 14*z).\nAnswer: 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**9\/252 - s**5\/20 + s**2 + 2. Let i(g) be the second derivative of f(g). Find the third derivative of i(x) wrt x.\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - u - 11 - 5, 5*u + 17 = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b6 + 5?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 17, -1\/16, 0.2, 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 26*v**2 + 47*v - 7. Let f be q(-24). What is the highest common divisor of f and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -748136?\nAnswer: 748134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27337 + s**3 - 27337.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = y - 3*y. Let d be 35\/y + (-1)\/3. What is the third derivative of 3*o**2 + o**4 - o**4 - d*o**4 wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 20140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(((-10)\/(-6))\/5). Let u be r\/4 - 207\/(-36). Suppose 5 - u - o**2 = 0. Calculate o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -293 (base 16) to base 2.\nAnswer: -1010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/518*1342\/(-1342)?\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 62 = 2*z, 5*z - 283*c = -286*c - 62 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**5 - 1162*s**4 + 146460*s**3 + 6731648*s**2 - 14039872*s = 0.\nAnswer: -37, 0, 2, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwm when three letters picked without replacement from {m: 4, n: 1, v: 1, w: 2, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r - 4 = -w, 12*w - 14*w + 0*r - 6 + 14 = 5*r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 8*d - 6. Let q be u(-6). Suppose -2 = -5*h + q. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - 17c?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - -10 - (-6 - (1029 + 3)). Calculate the greatest common factor of 36 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 12*b - 9. Let d(g) = g - 5. Let q be d(12). Let n be c(q). What is the units digit of (n\/6)\/(2\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 590, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1077 + 1080. Suppose -4*y = -3*s - 11, -2*s + 31 = 6*y - y. Solve s = -z*i + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9692 - 9692 - 169*n.\nAnswer: -169*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4178 + 1071*a**2 - 4178.\nAnswer: 1071*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m - 487*m**3 - m + 244*m**3 + 246*m**3.\nAnswer: 3*m**3 - 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -69856, -139715, -209574, -279433, -349292?\n\"Answer: -69859*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803119 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 3*d**2 - 3*d - 1. Let m be a(4). Put -11, m, -4, -2 in decreasing order.\nAnswer: m, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5*d + 5, v - d = 3*v - 6. Let i be 2 - (-3 - (v - 4)). Let q be (36\/(-16))\/((-1)\/24). Calculate the greatest common divisor of q and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-6)*(-8)\/270. Which is greater: s or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 5:33 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20051 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 360553, 360551, 360549, 360547, 360545?\nAnswer: 360543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/11))**17\/(v**(-11)*(v**(-2\/9)*v)\/v*v) assuming v is positive.\nAnswer: v**(706\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1409390 (b) -17 (c) 1\/4 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -32. Let b be 1 - 4 - (2 - z). List the prime factors of b\/(1 - 732\/724).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3035703 decades to months.\nAnswer: 36.428436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-20))\/(28\/280).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0265 + -30.6435. Let r = 30.3 + u. Sort -4\/7, r, -4 in descending order.\nAnswer: r, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 432 divide 30567456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 1:15 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -413, 25, -2 in ascending order.\nAnswer: -413, -2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8514 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (12 - (56 + -21)) + 15.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13440 and 7560?\nAnswer: 120960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 56185, 227549, 513155, 913003, 1427093, 2055425?\n\"Answer: 57121*h**2 + h - 937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1379 is divided by 98?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -10*t**3 + 2*t**2 - 2*t**2 + t + 3 + 9*t**3. Let i = 2 - 2. What is p(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*i**4*l**2 + i**3*l**2 - 6*i**3 - 9*i**2*l**2 - 8*i**2 wrt i?\nAnswer: -888*i*l**2 + 6*l**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/39*(-60)\/(-25)*10\/12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014 (base 6) in base 16?\nAnswer: -e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139093544 divided by 149242?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11014405 to the power of 1\/2, to the nearest integer?\nAnswer: 3319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00838092 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2701214 is divided by 111.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 4:27 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2\/7, 2\/9, -8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 + 43 = -4*n. Let k(q) = q**3 - 8*q**2 - 7*q + 10. What are the prime factors of k(n)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ekekkjgkjse?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2837786 and 293347.\nAnswer: 661204138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1282 + 1293. What is the closest to -0.1 in 2, -13, -4, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78127093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-14))\/(30261\/(-25676)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/738 and -49\/16.\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 32*v**3 + 4*v**2 + 2*v - 3. Let l be h(2). Let z(w) = -6*w + 3 - 281*w**2 - w**3 + 6 + l*w**2. What is z(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 1\/5, -103?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3560415 is divided by 3440?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = 1. Let g(q) be the second derivative of -q**3\/6 + q**2 + q. Let b be g(-2). Put h, -3, b in decreasing order.\nAnswer: b, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1956753, 1957115, 1957477, 1957839?\n\"Answer: 362*x + 1956391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) 0.03 (c) 2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 11*j**2 - 22. Suppose -2*y = -4*u - 26, 5*u + y + 31 = 3*y. Let d be i(u). Sort -10, 2, d.\nAnswer: -10, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5724\/5 - 489\/5*g**3 - 12\/5*g**4 + 7323\/5*g**2 - 24696\/5*g = 0. What is g?\nAnswer: -53, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 962535.7ml in litres?\nAnswer: 962.5357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -5. Let y be (5 + -1)\/(2\/o). Solve -3*w + y - 7 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 6*n - 6. Suppose 3*m + 67 - 61 = 0. Let z be u(m). Solve 0 = -4*w - k + 7 + 7, k = 3*w - z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 12, 0, 1, -1568 in increasing order.\nAnswer: -1568, -1, 0, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 41 = 28 + 61. Sort c, 0, 5, -73 in descending order.\nAnswer: 5, c, 0, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534095.\nAnswer: 5, 37, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/((-3)\/(-3)*-5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22619\/27, -5, -1\/23, 1 in decreasing order.\nAnswer: 1, -1\/23, -5, -22619\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -29*k**3 - 632*k**2 - 488*k - 113. What is i(-21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2235972801.558\nAnswer: -2235972797.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txxddtlalaxh. What is prob of picking 1 a and 1 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q + 4 = 2*k, 0 = 3*k - 4*q + 5. Which is the closest to 1\/4? (a) k (b) 36 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**8*g**(-13)*g**(3\/22)*g*(g**(12\/5)*g)\/g*g assuming g is positive.\nAnswer: g**(59\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52642*u - 35722 = -52979*u for u.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000208478 rounded to seven dps?\nAnswer: 0.0000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004220244246 rounded to 7 dps?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 72 - 15?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5)*a*a**(-3\/4)*a)\/(a**(-2\/3)\/(a\/a**2)))**43 assuming a is positive.\nAnswer: a**(-2107\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -11*d. Let u be (-1 - 1\/(-2))*d\/(-11). Solve u = -4*b + 3*a - 10, b + 0*b = a - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*r**4 + 4 - 4)*(3 + 1 - 3) - 13*r**2 + 13*r**2 - 30*r**4)*(-70*r - 15 + 35*r + 33*r).\nAnswer: 54*r**5 + 405*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 271 + x**2 + 4*x**3 - 271 + 10*x**3. Let n(q) = q**3. Give -f(y) + 3*n(y).\nAnswer: -11*y**3 - y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 962873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2389*x**3 + 385*x**2 - 257*x**2 - 127*x**2 - x - 5 + (-x**2 - x**2 + 3*x**2)*(2*x - 2*x - x).\nAnswer: -2390*x**3 + x**2 - x - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -56, -83, -88, -53, 40?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1840 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -28 + -3 + 0 + -13\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v + 0*v - 6*v + (0 - 2 + 4)*(-2*v - 3*v + 4*v) + (v - 2 + 0 + 7)*(3 - 3 - 2) - 85*v + 128*v + 136*v to the form n*v + j and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 2 + (14 + -12 - -13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0935 rounded to three decimal places?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 16*j - 7. What is g(-16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l - 6*l + 7*l + 14 + 4 as r + v*l and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**3 - 182 - 138 - 171 + 545 - 5*g**3 to b + f*g**3 + t*g**2 + k*g and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 277, 398, 557, 766, 1037, 1382?\nAnswer: 1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 5 (c) -0.8 (d) -5 (e) -1 (f) 186\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z - 2 + 2 + 1.\nAnswer: -9*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let l(v) = 5659*v**2 - 104*v. Calculate d(l(z)).\nAnswer: 5659*z**2 - 104*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -120, -254, -402, -570, -764, -990, -1254, -1562?\n\"Answer: -a**3 - a**2 - 124*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000598 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48137662 to the nearest integer?\nAnswer: 6938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*(sqrt(88) + 1*(sqrt(88) - -2*sqrt(88)))\/((sqrt(96) - (1*sqrt(96) - sqrt(96)))\/sqrt(12)).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -19*x + 435. Does 35 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -1)\/(-1)*1. Let c be -1 + -1 + 10*a. What is the units digit of 0 + (-729)\/c - 6\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 7:25 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from aorku?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2 = 4*i - 5, 2*i = y - 1. Which is the nearest to 0.2? (a) 0 (b) -0.3 (c) 1\/5 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35847057 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30742*y - 30943*y + 92202*y - 30518*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 260 and 428.\nAnswer: 27820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2017*q - 228. Is p(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Suppose 7 - 31 = -3*j. Let z(o) = -6*o. Let t(k) = j*r(k) - z(k). Let v(l) = -3*l**2 - 3*l**2 + 4*l**2. Give t(v(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 456439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**4\/4 - 13*p**3\/3 - 5*p**2\/2 + 15*p + 253. Determine y(13).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suu when three letters picked without replacement from vsvsusrusuvuss.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -1 (c) -107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.392 + -0.192. What is the second smallest value in i, -2\/5, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 1539 in decreasing order.\nAnswer: 1539, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1433*a - 24397. Give v(17).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1056490416.\nAnswer: 2, 3, 29, 31, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 4*c - 19. Let o be i(-7). Suppose -o = -5*f + 4*f. Is 4*((-174)\/8)\/((-3)\/f) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 880*t - 23866 + 106 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548652453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9840434 divided by 4.\nAnswer: 4920217\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 342, 519, 702?\nAnswer: 891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -360 + 360.1. What is the fifth smallest value in 0.3, o, 1, -1, 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7585 - -7716. Solve 5 = 63*b + t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, 0, -89, -4 in decreasing order.\nAnswer: 0, -2, -4, -10, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 13 - (-108 - -110)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/1 + -5)*(1 + -1). Which is the closest to 3? (a) -4 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -436899.\nAnswer: -3932091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10044 (base 5) in base 3?\nAnswer: 220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2. Let s(q) be the second derivative of q**3\/3 + 5*q. Calculate x(s(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 1. Let d be h(0). Let r be 2 - ((-22)\/(-8) + d). Let b be 9\/10 - 4\/10. Sort b, 4, r in decreasing order.\nAnswer: 4, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4884 divided by -1628.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1072636143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 245680 and 2220.\nAnswer: 737040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1258d - 0?\nAnswer: 1258d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from bciaffn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21495770 plus -55922?\nAnswer: -21551692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16580297, 16580296, 16580295, 16580294?\n\"Answer: -s + 16580298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*i + 776 = 3*d, -i + 4 = 0. Suppose -102 = -4*a + d. Does 25 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 8*p - 2\/3*p**3 + 0 + 8\/3*p**2 = 0.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 558 - 408. Is i a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + 0.86. Let h = j + -0.4. What is the nearest to 0 in 0, 2\/15, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 3*y + 1. Let a be i(4). Sort 4, 1, 0, a.\nAnswer: 0, 1, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (1 - -14) - 3. Let x(z) = -2*z**2 + 23*z - 10. Is x(c) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5554943?\nAnswer: 5554943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 - 6*m**2.\nAnswer: -2*m**2*(m + 27)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 7*l**4\/6 + 13*l**3\/6 + 8*l**2. Is o(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 42, 33, -50, -243, -582, -1103, -1842, -2835?\n\"Answer: -6*v**3 - v**2 + 36*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -239 - -232. Let t(i) = -12*i + 36. Let o(g) = -24*g + 72. Let l(m) = 3*o(m) - 5*t(m). What is the units digit of l(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 4*v = -400. Solve -12*l = -4*l - v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33294*i - 33289*i = -4*o - 65, 0 = 3*o + 15 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z\/(z**6*z))\/z)*z\/z**22*((z**(-17)\/z)\/z)\/z**(2\/35))**(1\/42) assuming z is positive.\nAnswer: z**(-1087\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -224128 divided by -1678\nAnswer: 112064\/839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 44*b - 270.\nAnswer: 2*(b - 27)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**3 + 24*b**2 - 79186*b + 395709. Determine g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 18147, 0 in increasing order.\nAnswer: 0, 30, 18147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a17 (base 15) to base 14.\nAnswer: -b84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f + 3. Let t(x) = -14*x + 23. Let i be t(1). Suppose -53 = -i*p - 35. Give v(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-4726)*55063\/6478.\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3069758 from 0.007.\nAnswer: -3069757.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53357096.\nAnswer: 2, 13, 139, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -409 - -449.5. Let o = n + -40.2. Which is the third biggest value? (a) o (b) 0.04 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {n: 1, b: 1, u: 1, e: 1, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.8721631673 + -6705.\nAnswer: -6701.1278368327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1.2. Let i be (-12)\/(-21)*15\/(-20). Let w = 4 - 6. Which is the second smallest value? (a) w (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/13))**(-2\/143))**(2\/9) assuming t is positive.\nAnswer: t**(-8\/16731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-1 - 3) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {z: 15, m: 5}.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-8\/3)*y**(-1\/3))\/((y\/(y*y*(y*y\/y**(-5)*y*y)\/y*y))\/(((y*(y*(y\/(y*((y**2\/y)\/y)\/y))\/y)\/y)\/y)\/y)))**(-2\/3) assuming y is positive.\nAnswer: y**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*n - 1188 = 111*n - 2522 - 3202 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-4 - -3) + 1 + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 426 = -336 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 12*f = -45678. Suppose 688*q - 694*q = -f. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.35801 minus -0.03623518?\nAnswer: -15.32177482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*s = 0. Let a be 3\/((s - -2)\/2). Suppose 4*b = -4*k, -k + 2*b + 1 = -11. Let h(x) = -x + 1. Let g(n) = n - 1. What is a*h(l) + k*g(l)?\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n. Let j(o) be the first derivative of o**2\/2 - 1. Let l(t) = -14*j(t) - 2*v(t). Let i(y) = -y**2. What is l(i(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b = -26*b + 14. Suppose -2*k + 935 = -5*o, -5*k = b*o - 3*o - 2288. List the prime factors of k.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((15 - 17) + (-11)\/1)*-21. What is the greatest common factor of 195 and f?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1146, 1224, 1354, 1536?\n\"Answer: 26*d**2 + 1120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1257*l**2 - 2*l - 2. What is the tens digit of o(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*(-3)\/(-18)*6. Suppose 15 = -3*c + v*c. What is the smallest common multiple of ((-3)\/(c\/8))\/(-1) and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -19*o**2 + 73*o + 6. What is f(3)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4103626 and 106.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/40)\/((-325)\/(-52))*80?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/18 and -125\/3078.\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17095910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 p, and 1 z when four letters picked without replacement from {e: 10, z: 3, n: 2, m: 1, p: 3}.\nAnswer: 135\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2283*m - 39*m + 6216*m in the form q + p*m and give p.\nAnswer: 3894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 15. Let z = 6 + -5.9. Which is smaller: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(-1\/5))\/w)\/(w*w**(-6)))\/(w**(-3\/4)*w*w*w**(1\/4)))\/(((w**6\/w)\/(w*w*w\/(w**1*w*w)))\/(w*w*w**(1\/5)*w**(3\/5))) assuming w is positive.\nAnswer: w**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 473.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/6 - 400*d**2\/3 - 4584*d = 0 for d.\nAnswer: -764, -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Suppose 9 = b*s + 4*x - 23, -5*s + 44 = -2*x. Solve 0 = -3*n - l + s, 4*n - 2*l - l = 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = 2*h. Let t(b) be the second derivative of b**4\/6 + b**3\/2 - b**2 - 349*b. Let x(o) = -o**2 - o. Calculate h*t(n) - 3*x(n).\nAnswer: n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 1:39 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90679763294881\/16524612 + -367666391\/67. Let c = -11\/2108 + s. What is the common denominator of 17\/21 and c?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.443 + -1.243. Which is the second biggest value? (a) -1 (b) 5 (c) -0.13 (d) v (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 360039432.\nAnswer: 1080118296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 y when three letters picked without replacement from bqyyyybqybqq.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**4 + a - 1. Let f(x) = 12*x**5 + 26*x**4 - 4*x**3 - 8*x**2 + 10*x - 10. Let h(s) = f(s) - 10*o(s). Factor h(p).\nAnswer: 4*p**2*(p + 1)**2*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14726 times 100.5\nAnswer: 14.79963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -899 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-2)\/(-4) - -42. Suppose 0 = -2*p - 3*p + l. Let r(z) = -z**3 + 13*z**2 + 13*z + 18. Let m be r(14). Solve -4*c = -5*b + p, b = m*b - 3*c - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**2 - u - 1. Let y be i(-1). Let d = y + -1. Let k be (-8)\/(-14)*(14 + (5 - 5)). Solve 1 - 3 = -3*v + d*n, -v - 3*n = k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**3 - 5488*k**2 + 22000*k - 22016 = 0?\nAnswer: -1376, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (351\/54 - 27)\/((-46)\/8 - (-5 + -1))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + -1 + 25 + (-158 - -136)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1155 - -1176. Let y(q) be the third derivative of -c*q**2 + 1\/6*q**3 + 0*q + 0 - 1\/24*q**4. Let v(j) = -9*j + 6. Determine v(k) - 6*y(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1239*r**2*t**3*v - 20*r**2*t - 3*r*t*v + 2*t**2*v + 1 wrt t?\nAnswer: 7434*r**2*t*v + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 equal to 719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -940696*t**5 + 2*t**4 + 25225*t**2 + 2*t + 9 wrt t.\nAnswer: -56441760*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -196*t**4\/3 - 1064*t**3\/3 - 143*t**2 - 15*t = 0. Calculate t.\nAnswer: -5, -3\/14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.4 + -2.8. Which is the closest to 0.2? (a) -1.9 (b) -3\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 6. Let z be b(-6). Suppose -2*a = -z*a - 32. Suppose 4*u + 2*n = 28 + a, -2*n = -5*u + 46. Calculate the greatest common divisor of u and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.071899 + 0.068099. Let m = l - 0.14. What is m rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1041162 is divided by 256?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/152*68\/(-51)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 57\/2 of a century?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 850*y - 242*y + 152*y + 909*y + 845*y as d*y + h and give d.\nAnswer: 2514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90450 = -521*z + 2003*z + 327*z for z.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -212123 + 4481?\nAnswer: -207642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -1\/5*q**2 - 3\/5 - 4\/5*q = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 12*d + 23. Let z(a) = 47*a + 93. Calculate -9*p(y) + 2*z(y).\nAnswer: -14*y - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.800395g to micrograms.\nAnswer: 7800395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -34. Let o(w) = -2 - 2 + 2 + w. Determine o(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 11. Let w = -39 - -44. Put z, w, -3 in decreasing order.\nAnswer: w, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 5. Suppose 3*y - b = -3. Solve -5*z - 1 = y*x - 13, 2*x + z - 4 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 - 52*x - 216. Let v be z(-9). Solve -17*n = v - 107 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (238\/(-40))\/(42\/(-315)). Is 44 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4 - 2558448*s**3 + 5116893*s**2 - 2558446*s = 0 for s.\nAnswer: 0, 1, 2558446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 5603.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(13\/(-65)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 32*b + 77. Let g be z(18). Let -60*i**5 + 15*i**4 - 35*i**3 - 39*i**2 + 128*i**g - 63*i**5 + 90*i - 36*i**2 = 0. What is i?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*(-5 + (sqrt(34)\/sqrt(2)*-1 - (sqrt(68) + 0) - (-1*sqrt(2057) + -1*sqrt(17)*2)))**2.\nAnswer: -10350 + 600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r = -13*r + 1188. Differentiate -95*f**3 - 16886*f + 360*f**3 + 16886*f + r - 223 with respect to f.\nAnswer: 795*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 50652460, 101304903, 151957346, 202609789, 253262232?\n\"Answer: 50652443*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 5811a?\nAnswer: -5811d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -b + 3. Let h(z) = -b*z - 3 - 1 + 4. Let p(v) = 2*v**2. Give p(h(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1559, -261 in descending order.\nAnswer: 5, -261, -1559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/20*10\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 2*y + 9. Let d(h) = -6*h**2 + 429*h - 1123. Let u(m) = d(m) - 5*f(m). Differentiate u(v) wrt v.\nAnswer: -2*v + 439","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1090862, -1090860, -1090858, -1090856, -1090854, -1090852?\n\"Answer: 2*a - 1090864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2 - 105*h**2 - 16 + 8 + 4*h + 3.\nAnswer: -105*h**2 + 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8759 - 531318\nAnswer: -540077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1153 + -609. Is 30 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -27, -114, -269, -492, -783, -1142, -1569?\n\"Answer: -34*g**2 + 15*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + l - 3. What is z(3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -20, -5*j + 5*t + 64878 + 87922 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -224 - -224. Let x(m) = 11*m - m + 2*m + i*m. Let g(c) = -13*c. Give 4*g(o) + 5*x(o).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from yyvxovvybvyhxh?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 446 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25072.\nAnswer: 2, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjme when four letters picked without replacement from {f: 4, m: 2, g: 2, e: 6, j: 2, y: 1}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-192)\/12*1\/(-2). Suppose f*k + 549 + 427 = 0. Let i = k + 134. Calculate the remainder when 33 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-6\/11)*s*s*s*s*s)\/(s\/((s*s\/(s*s\/s**(-18\/11)))\/s)))\/((s\/s**(-5\/14))\/s**23) assuming s is positive.\nAnswer: s**(3613\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(((w\/(((w*w\/((((w\/((w\/w**(-4))\/w))\/w)\/w)\/w)*w)\/w)\/w)*w)\/w)\/w))\/w)**(-12\/5)*w*w**1*w**11\/w assuming w is positive.\nAnswer: w**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1468427, 2936854, 4405281?\nAnswer: 5873708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 912\/5 + 3\/5. Suppose v = -4*f + 1236, f + j = v + 492. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 10*t - 4*t. Let d(j) = j**3 + 12*j**2 + 10*j - 7. Give d(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c - 275 - 272 + 821 - 36*c - 273. Let w(f) = -3*f**2. What is w(u(n))?\nAnswer: -5292*n**2 + 252*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3*t**3 - a**3*t**2 - 16*a**3 + 20*a + 6399*t**4 + t**2 wrt t.\nAnswer: 6*a**3 + 153576*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v**2 + 3*v - v - v + 12*v**2. Let k be n(2). Let s = 7 + k. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -0.5, 55.75 in descending order.\nAnswer: 55.75, -0.5, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o**2 + o - 19. Suppose 72*h - 67*h + 34 = -3*s, -5*h - 2 = -s. Let n(r) = 11*r**2 + r - 29. Give s*a(z) + 5*n(z).\nAnswer: -z**2 - 3*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -590, -584, -576, -566, -554?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o**2 + 3*o + 4. What is a(-2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1784, -5452, -11568, -20132?\nAnswer: -31144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8460 - 8459.94742. Round x to three decimal places.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s. Let m(h) = -h + 10. Give c(m(y)).\nAnswer: -3*y + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 660 - 3*c**3 + 5*c + 654 - 1327 + 0*c**3 + 2*c**3. Calculate t(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 65332940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**5\/60 + o**4\/6 - o**3\/6 + 99*o**2. Calculate a(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10a0 + -2?\nAnswer: -10a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5688?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -683, -816, -949, -1082?\nAnswer: -1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*q**3 - 18*q**2 + 40*q**2 - 19*q**2 - 2*q**4 + 2*q in the form w*q**4 + j + s*q**3 + c*q**2 + z*q and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/2001 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 12*g + 10 = 0. Let x be 2\/g - 46\/(-120). Let j = 1\/15 + x. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42511311 (base 7) in base 12?\nAnswer: -12649b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r + 2. Determine s(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 + 7.01. Let o = j - 11. Which is the closest to 0? (a) o (b) 3\/7 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 5*n**2 - 8*n + 29. Let o be f(5). Let x(c) = -c**3 - 8*c**2 - 5*c - 2. Is x(o) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-132)\/(-6270)*(-30)\/12)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1097*a**3*r**2 + 3*a**3 + 2*a**2*r - 4*a - 2*r**3 with respect to r.\nAnswer: 2194*a**3*r + 2*a**2 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5419.43 rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, m: 2}. What is prob of picking 1 i and 1 m?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 12*o**2 - 299 + 599 - 105*o + 108*o - 300.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*l + j, 3*l + 3*j + 1 = -2. Suppose 2*k + 22 = -5*g, k + 5*g = -4*k - 25. Let x(f) = -6*f**3 - f. Let r be x(k). Solve -l*q - 4 = -r*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -12.3. Let t = -10 - -15. What is the nearest to 1 in -2\/7, t, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2634 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 2:09 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**2\/7 - 63628*a\/7 - 16334424\/7 = 0.\nAnswer: -15646, -261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**4\/30 - 4*k**3\/5 + 32*k**2\/5 + 64*k. Suppose f(h) = 0. What is h?\nAnswer: 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**3\/3 + 2*l. Let i(u) = 7*u**2 + 7*u. Let s(m) = m. Let z(k) = i(k) - 7*s(k). Determine z(v(a)).\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1212 + -78782\/65. Let k = -144\/455 - s. Which is smaller: k or 2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.495 - -3.525. Let i = c + -0.02. Let t = i - 3. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(285\/225)*(-2)\/(-36)*-3.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422 = 2*i - 5*t, 0 = -t - 4*t + 20. Let b(r) = r**3 + 8*r**2 - 13*r - 14. What is the remainder when i\/(-3) + 4*-1 is divided by b(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsxphbtps. Give prob of picking 2 x and 2 s.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -428571, -3428821, -11572343, -27430773, -53575747, -92578901, -147011871, -219446293?\nAnswer: -312453803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1010 and 50?\nAnswer: 5050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -103237582 greater than or equal to -103237582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/7))\/((q*q\/(q\/(q\/q**(-2\/5))))\/q))\/(q**(-3\/2)*q\/q**(-11)) assuming q is positive.\nAnswer: q**(-783\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 + h + 0*h**2 + h**2 + h**2 as g + t*h + z*h**3 + d*h**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203887 is divided by 29040?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*b**3 + 20375*b**2 + 220615*b + 200200 = 0.\nAnswer: -77\/8, -1, 520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1295*f**2 - 2*f - 8186*f**4 + 279*f**4 + 2*f + 1428*f**2 wrt f.\nAnswer: -189768*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2468270 by -493654.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -t + 4 + 4, -7 = i - 5*t. Let n be ((-132)\/55)\/(2\/(-10)). Put 2, n, i in descending order.\nAnswer: n, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 161*m - 28*m + 13.\nAnswer: -189*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 87780*b**3 + 10*b**2 + 6*b - 18. What are the prime factors of r(1)?\nAnswer: 2, 43889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1952396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.462 + 61?\nAnswer: 59.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(2 - (-1 - -1)). What is the units digit of (a - -5) + (-2 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 2*i**3 - 27635774*i**2 + 50 + 0*i + 27635774*i**2 + 9.\nAnswer: 2*i**3 + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1438 = 31*o - 1190 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/9, -732, 0.226 in descending order.\nAnswer: 10\/9, 0.226, -732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/24 and 53\/1116624.\nAnswer: 1116624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/2 (b) 57.2625 (c) -0.4 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.7895 and 14199872?\nAnswer: 14199869.2105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + -3 + -4 + sqrt(21)\/sqrt(7) + sqrt(3) + ((sqrt(24) - sqrt(24)*-1)*1)\/((sqrt(8) - sqrt(16)\/sqrt(2) - sqrt(8))*1).\nAnswer: -7 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 92*f**2\/3 - 13249*f\/3 + 13157\/3.\nAnswer: (f - 1)*(92*f - 13157)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17115*a**2 - 17118*a**2 + 51363*a**2 + 2*a**3 - 17130*a**2.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/3504 and 32\/63?\nAnswer: 73584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -13. What is the remainder when 24 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-40)*-4)\/(1\/(-10)). Solve -5*y - 10*l + 35 = -5*l, -n*y - 5*l = -33 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(((-100)\/(-5))\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3079817190 to the nearest integer?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 + 5*i**4 - 4*i**4 - 2 + (-15 + 24 - 12)*(-3*i**4 - i**4 + 2*i**4) - 3*i**4 + i**4 + 5*i**4 + i**4 - 2*i**4 + 4*i**4.\nAnswer: 10*i**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 6*n. Let z be w(-2). What is the biggest value in z, -2\/7, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158.3 - 158. Which is the nearest to -1\/4? (a) 4 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7102*w + 2372*w - 74 + 2365*w + 2361*w.\nAnswer: -4*w - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**3 + 2*j**2 + 3*j + 5. Let p(r) = 4*r**3 + 3*r**2 + 2*r + 5. Let s(o) = -3*m(o) + 4*p(o). What is the remainder when s(-3) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4776?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 7*a - 3*c + 50, 2*a - 2*a = -4*c - 20 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1817523769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*d - 10, 2*a + 3*d = -0*d + 22. What is the remainder when 29 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 626*c + 39. Is h(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3212 is divided by 1598.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-31)\/((-48825)\/240) - (-2)\/(-7). Sort 2, 0.7, a.\nAnswer: a, 0.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a566a6 (base 11) in base 13?\nAnswer: -473508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9198210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 + 6*a**2 - 2*a**2 + (-7*a + 3*a + 8*a)*(-a + 1 - 1).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 = -2*a, 0 = 3*a - 0*a - 6. Solve 5*t + 5*w = 5, 3*t + w = -0*w + g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-5))\/(((-12)\/42)\/(20\/21)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0 = -3, 0 = 4*x - 2*n + 378. Let w = -31 + x. What is the tens digit of -4 + 8 - 8 - w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfhj when four letters picked without replacement from mmvjfhw?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.158, -247, 2?\nAnswer: 0.158","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 36 - 8 = 0. Let m = 1 - 0.7. Which is the third biggest value? (a) m (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**5\/5 - 16*r**4\/5 + 24*r**3\/5 - 16*r**2\/5 + 4*r\/5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20a - 1a341?\nAnswer: -1a550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 124098*r - 1737368. Calculate y(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 + 193 - 179 - h**2 in the form d*h + s + r*h**2 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 + 3266 = 6154*r - 6204*r for r.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 113*f - 89*f - 7123 + 211. What is the highest common factor of 168 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 44?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + g**2 - 4*g**3 + 2*g**3 + 155*g + 1 - 3 to f + p*g**3 + k*g + v*g**2 and give k.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 15*u**2\/2 - 3905*u\/2 - 1305 = 0.\nAnswer: -2\/3, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5983 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 521 = -3*s + 8*s, 6 = 2*h. Let l = s + 184. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 5\/24*g**4 + 0 + 5\/6*g**3 + 1\/60*g**5 + 0*g + 11*g**2. Let d = 37 - 41. Determine t(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 151801, 303594, 455381, 607162, 758937, 910706, 1062469?\n\"Answer: -3*i**2 + 151802*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 + -23. Is (-12)\/x + (-298)\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o = 2*j, o = 2. Solve -j*q - 8 - 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*g**2 - 6679*g + 6658*g - 4 + 3 to y + f*g + x*g**2 and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 8 = 2*l - 3*u, 3*l + 12 = -5*u. Let b(w) = w**3 - w**2 - w + 12. Let i be b(0). Let v = i + l. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3537.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 - -0.7. Suppose 0 = 4*w + 9 - 1. Let c be 2\/w - (-34)\/30. Sort h, -2\/15, c.\nAnswer: -2\/15, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 258696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (2 + 0)\/(30\/24 - 1) and 66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5738738983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1021*z + 222837 = 1294*z + 352*z - 9192 for z.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*y + 4 = -3, 2*y = 5*b - 22. Suppose 4*n + 5 = 5*n. Suppose -m + 19 = -n*k, -m + 2*k + 13 = -k. Solve -4*i + s - b = 0, 2*i - m*s - 14 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from {o: 4, c: 5, p: 10}.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*f - 25 = 0, -2*z - 1 = f - 2*f. Suppose -z*q - 16 = -4*n, -21 = -5*q - 4*n - 5. Solve 5*s - 24 - 1 = q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 87?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvvc when four letters picked without replacement from ccccvcccccccvv.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(1\/3)\/k))**(1\/9)*k**(3\/4)*k**(2\/9) assuming k is positive.\nAnswer: k**(125\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a**3 - 69*a**2 + 120*a - 57.\nAnswer: 3*(a - 1)**2*(2*a - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32.088 - 27.088. Which is the third smallest value? (a) f (b) 5\/98 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -5, -15.5, -48\/13, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 2099?\nAnswer: 6297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 11*s - 2. Let g be b(2). Suppose u = -5 + g. Let m = u + -12. Solve m*v - 2*v - 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1775 = -g, 1775 = 33*g - 34*g + q. Let c = 21245\/12 + g. Calculate the common denominator of -43\/60 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -11)\/(-1)*(1 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1441*c + 210 = 1483*c. Let q(b) = 4*b - 6*b**2 - 10 + b**2 + b**3 - 6. Determine q(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 25*p**2. Let a(h) = 10*h**2. Determine y(a(b)).\nAnswer: 2500*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 0\/1 + -2. Let d = -14 + 14.1. Let p = d + -5.1. What is the closest to -2 in 2\/9, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - 1 - (4 + 7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -10\/3, -48?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-198)\/(-14) + -27)*42\/(-5) and 5208?\nAnswer: 46872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 77*a - 1104. Let n be p(19). Let t(z) = 3*z - 4. Let r(v) = -7*v + 8. Give n*r(o) - 5*t(o).\nAnswer: -o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - l**2 + 3*l + 11. Suppose 4*n - 9*n - 4*a = -5, 3*n + 4*a = 11. Let c be g(n). Calculate the highest common factor of 80 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11637233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 3*a - 2*o, 102*a - 100*a + 18 = 2*o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(156) + -1*sqrt(156))\/sqrt(12) + 2 + (sqrt(13) - sqrt(117)) + sqrt(13) - (sqrt(143)*-1*2 - sqrt(143) - sqrt(143))\/(2*sqrt(11)*5).\nAnswer: -3*sqrt(13)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 5)\/(4\/8*-2). Let l = 0.48 + 0.02. What is the closest to b in -0.3, 1, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 990\/15 - (3 - 7). What is the highest common factor of g and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t**2 + t**3 - 9*t**2 - 4*t**3)*(-1 - 2 + 4).\nAnswer: -3*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5570, -21890, -49088, -87164, -136118?\nAnswer: -195950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + d = -4 - 0, -o - 8 = 2*d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-15))\/(32\/160)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 8. Let g be f(0). Let t(x) = x - 4. Let k be t(4). Suppose 2*v - g*b - 49 = -3*b, -b - 1 = k. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -42. What is the remainder when 93 is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 6, 4*c - l + 9*l = 2*l + 2*l + 32 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7208844287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199823236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3388, 8168, 12918, 17638?\n\"Answer: -15*n**2 + 4825*n - 1422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 14*h + 23. Let a(v) = 9*v + 15. Let o(q) = 8*a(q) - 5*b(q). Let s be o(0). Solve r + s*f = -7, 3*r = 2*r + 5*f + 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-5)\/(-80))\/(126\/(-1946)) and 73\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011210 (base 3) to base 15.\nAnswer: 3c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.056238174, 3, -0.2 in descending order.\nAnswer: 4, 3, 0.056238174, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*a - 171*a = -16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4337034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 44412 - 28?\nAnswer: 443b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -45. What is the third smallest value in -3\/8, s, -90?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -458 in 0, 3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 169 in -31, 2\/3, -1, 0.28?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962830595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3897972664?\nAnswer: 2, 19, 41, 625477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -336 + 683. Suppose 4*o + 4*c + 79 = t, -4*o + 260 = -4*c. Calculate the smallest common multiple of 110 and o.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*c - 14*c - 5. Calculate the remainder when 72 is divided by 1*(3 - 2) - (c - 11).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 648613871*q**2 - 663782935.\nAnswer: 1297227742*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - z = 338, 4*s + 3*z - 604 = 748. Calculate the greatest common divisor of s and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.089 - 28.089. Let d = -33 - v. Which is the nearest to 1\/4? (a) 2\/7 (b) d (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -86 (b) 3 (c) -0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 62. Suppose 66 = -z - m*h, 4*z + 246 = -z + h. Let s = 86 + z. What is the greatest common factor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 2*l + 1. What is the remainder when x(-9) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267422, -267425, -267428, -267431, -267434, -267437?\nAnswer: -267440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**1)\/g**4*(g**(1\/2)*g)**(-3\/8) assuming g is positive.\nAnswer: g**(-73\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 2, 5.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816 is divided by 195.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4988 and 4816?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000139 to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2628.94 - 2575. Let p = n + -54. Is 0 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112 + 35 + -92 - 121.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825 is divided by 21\/14*(-12)\/90*-295.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18767 is divided by 276.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -73.9. Which is the second smallest value? (a) z (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4962 divided by 2.\nAnswer: -2481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 2}. What is prob of sequence ff?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 67211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/11 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 5*y**3 - 5*y**3 + 0*y**2 - 4*y**2. Let x(b) = -b**3 + b**2. Calculate -s(l) - 4*x(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 140\/6*(7314\/920 - (-3)\/(-4)). What is the greatest common factor of s and 1736?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 24 - 29417*d + 14706*d + 14710*d.\nAnswer: -d + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*q - 256*q = 182. Suppose 110 + 42 = -2*h + y, 0 = -h + y - 76. What is the remainder when q is divided by h\/(-5) + 7\/(-35)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.109 to three decimal places.\nAnswer: -0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1 = 25. Let d(r) = -2*r - 14. Let v(k) = -3*k - 21. Let o(g) = u*d(g) + 5*v(g). Calculate the remainder when 46 is divided by o(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -1732878?\nAnswer: 866439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 5*p**2 - 7*p + 8. Suppose 4*o = 3*b + 28, 5 = -3*o - 5*b - 3. Suppose 14 = o*g - 18. Calculate the remainder when m(-6) is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9071 and 49.7.\nAnswer: -9021.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-one quarters of a millisecond?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 25417.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w - 4*d = -154, 5*w + 3*d + 40 = 58 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y**5 - 644*y**4 + 486*y**3 + 140*y**2 = 0.\nAnswer: -2\/9, 0, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 103*g**2 + 3*g - 3. Let c = 64 + -63. What are the prime factors of i(c)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**1)**(5\/13))**8 assuming r is positive.\nAnswer: r**(80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 + -89. Let h = 47.9 - m. Is h > 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(3 - (-103)\/(-4)). Suppose 0 = -s + q + 56. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q - 21 + 5*q**2 + 21 + 6*q.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**5\/3 - 10510*o**4 - 755732*o**3\/3 - 860348*o**2 + 7555414*o\/3 - 1395702 = 0.\nAnswer: -15741, -19, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -5*o**3\/6 + 21*o**2 + 82*o. Let f be m(7). Calculate the greatest common factor of 4 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8)*(-5 - -4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**4 + 4*i**4 - 35 + 20 + 2 - i - 86*i**3 + 11 - 2*i**2 in the form s*i + g*i**4 + p*i**2 + v*i**3 + x and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 7:06 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 1580.\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 3*f**2 - 3*f + 24. Calculate the smallest common multiple of k(4) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2623?\nAnswer: -1\/2623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1698, 148, 2\/19, 0, 10?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10391*-0.9.\nAnswer: 9351.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12809778*l**2 - 10685390*l wrt l.\nAnswer: -25619556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12423444 is divided by 325?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(228)\/(sqrt(12) + sqrt(12)*1 + sqrt(12) + sqrt(12) - sqrt(12)) - ((sqrt(152)*-2)\/sqrt(8) - sqrt(19)))**2.\nAnswer: 2299\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11017 or -807?\nAnswer: -807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -113.014 - -7192?\nAnswer: 7078.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8846645 is divided by 142?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/63 and (10\/84)\/((150\/(-552))\/(-5))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1112 in -0.3, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v + 20. Let n be c(6). Suppose -5*g = 25, -5*g - 784 = -n*j + 507. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/64 and 15\/68.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11, -22, -39, -62, -91?\n\"Answer: -3*b**2 - 2*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -2. Let k = 4.5 + -0.5. Which is the third smallest value? (a) k (b) 1\/6 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -5?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 156 - 623\/4. Which is the nearest to d? (a) -1.4 (b) 1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*i**3 - 19181 + i + 19179 + 188*i**3 in the form r*i**3 + t*i + z + l*i**2 and give r.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1636.1 - -26077.89308.\nAnswer: 24441.79308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 16 + 1, 2*u - 48 = -4*o. Let q be (-2)\/(-3)*9\/1. Suppose -q = -0*v - 3*v. Solve v*g + 4*j - u = 0, -3*j - 4 = -0*g - 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -54, -4, 3, -1, -23 in descending order.\nAnswer: 8, 3, -1, -4, -23, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 77365.059 and 1.1?\nAnswer: 85101.5649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f + 159. Determine o(22).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5735201712.\nAnswer: 2, 3, 43, 107, 25969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1434, -1, 1\/7, -4, 14\/95?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 816, 1624, 2432, 3240, 4048, 4856?\n\"Answer: 808*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20344 is divided by 495.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 137590 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 8*z**4 + 24 + 68*z**3 + 128*z + z**3 - 8*z**3 + 142*z**2 - 3*z**3 = 0?\nAnswer: -3, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*w - 14*w + 1234 = -324 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l = 4. Let w(h) = -h**3 + h**2 - h + 1. Let y be w(l). Let 2\/5*q**2 + y - 2\/5*q = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -15)*-6*(-1)\/(-8)*924\/5544\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 4*c + 7. Suppose g = 4, -26 = -y + 4*y - 2*g. Let l be t(y). Suppose 3*w + 35 = -5*r, -5 = -5*r - 0*r + 5*w. Sort r, l, 2.\nAnswer: l, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25570 - 25575. What is the third biggest value in 0.3, 2, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -36. Suppose 7 = 4*q + 15. Suppose -3*y + 2*j = 17, -16*j = -5*y - 14*j - 23. Put k, 4, q, y in decreasing order.\nAnswer: 4, q, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9260643 millennia?\nAnswer: 92.60643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 8. Let j be u(5). Let g = 53 + -52. Solve -g = -4*q + j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*m - 3625 = 0, -5*g - 691 + 4316 = -4*m. Calculate the remainder when g is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10804 (base 11) to base 15.\nAnswer: -495d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l. Let q(s) be the second derivative of 0 - 23\/6*s**3 - 29*s + 0*s**2. Calculate b(q(m)).\nAnswer: -46*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*h**4 + 2*h**4 - 349*h**2 + 336*h**2 + 80*h**5 wrt h.\nAnswer: 4800*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(340\/17)*128\/(-80)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16 - 5) + -12 - -1. What is the closest to 0.1 in f, 0.5, 5\/4, 209?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4216335, -4216332, -4216343, -4216374, -4216431, -4216520, -4216647?\nAnswer: -4216818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14356592 to the power of 1\/2, to the nearest integer?\nAnswer: 3789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 8:06 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0.4. Let h = 2.2 + -2. Let x(t) = -5*t + 29. Let q be x(6). Which is the nearest to q? (a) n (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(3))*6.\nAnswer: -18 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/440 and -81\/352.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1130.\nAnswer: -2\/565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 46 * -0.138\nAnswer: -6.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Suppose 0*h = -f*h + 24. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125255 (base 7) in base 6?\nAnswer: 300342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -155612, -156004, -156386, -156752, -157096, -157412, -157694, -157936?\n\"Answer: d**3 - d**2 - 396*d - 155216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 1:47 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.215 - -62.015. What is n rounded to zero dps?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 22706*l + 90816. Give s(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 9:33 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + 8*q + q**2 + q**2 - 56391 - 47842 - 9*q.\nAnswer: -q**2 - q - 104233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8080174391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3*r - 1 - r)*(55 - 26 + 36) as h + j*r and give j.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkff when four letters picked without replacement from {f: 2, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -92, 22, 501, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312*r + j = -316*r + 17, -5*r + 5*j + 40 = 0. Solve -19*l + 14*l + r = -5*p, -3*l - 25 = 4*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 3*x - 1. Let b be t(-4). Solve -f - 2 + b = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**2. Let r(o) = -9608*o**2. What is t(r(f))?\nAnswer: -369254656*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/16)\/(7\/168).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1065, -1136, -1211, -1290?\n\"Answer: -2*d**2 - 65*d - 998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (4 + (-3 + 2 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 0*x + 2*x + 16 = 0, -5*o + 3*x + 30 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2463 (base 7) to base 3.\nAnswer: 1021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.3876 to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1459 + -12.1459. Put q, 7, -2 in decreasing order.\nAnswer: 7, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/27)*x**(-6))\/(x**2\/x**(-3)) assuming x is positive.\nAnswer: x**(-272\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 826 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(13) + (sqrt(13) - (-4 + sqrt(13))))*4.\nAnswer: -4 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-30)*-3*5. Let j = -561 + 1016. Let r = 459 - j. Solve -r*m = m - 2*l + 1, o*m - 4*l + 10 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 350252372 to the nearest one hundred thousand.\nAnswer: 350300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 406\/(-35) + 3 + -6 - (-4)\/(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -8*u + 7*u. Suppose -2 = -u*r + 10. Suppose -5*m - p = -267, -r*m = -2*m - 5*p - 96. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(245\/(-1197)) + (-49)\/245?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from xjbbxxxxxxxjxxb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 - 4*n**4 + 4*n**4 - 14*n**4 + 14*n**4 - 9*n**5 + (3*n**5 + 4*n**5 - 5*n**5)*(4 - 2 - 4).\nAnswer: -14*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 9*a. Let k(s) = -246*s - 50*s + 418*s. Give o(k(x)).\nAnswer: 1098*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9793 + 10*b + 9772 - 19629 + 0*b.\nAnswer: 10*b - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 + 5*y**3 - 4*y + 3*y + y**2. Let o = -113 - -112. What is u(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -2*f**4\/5 + 64*f**3\/15 + 39*f**2 - 630*f - 1625. Factor m(v).\nAnswer: -2*(v + 7)*(2*v - 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42893.\nAnswer: 59, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 23*w + 58. Let x be v(-8). Suppose -726 = -x*g - 3*p, 3 = -3*p + 9. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1991 divided by 456\nAnswer: -1991\/456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 49*n + 8. Let f(j) = -98*j + 18. Let h(z) = 278*z - 51. Let l(k) = 17*f(k) + 6*h(k). Determine c(l(a)).\nAnswer: 98*a + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 6096.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3564320 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 2:16 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*g - h + 11, 1 = 2*g - h. Suppose -5*n - 22 = 6*j - 5*j, -5*n = -j + 28. Does 11 divide (j - -1)\/g - -20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 - 6*x - 1. Suppose 2*o + 2*o + 76 = 3*y, -o = -y + 20. Let g = 19 + o. What is the tens digit of z(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*u + 3*u + 11*u - 51 - 30*u + 51.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*(1*-3*sqrt(2) - sqrt(2)))**2 + 5*6*((3*sqrt(2))**2 - sqrt(2))*6.\nAnswer: -228*sqrt(2) + 3377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2406 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42831 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 195*p + 4045. What is the tens digit of h(40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 523910007, 523910008, 523910009?\n\"Answer: k + 523910006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/13)*r\/r**23)\/(r**(-2\/51)*r**13) assuming r is positive.\nAnswer: r**(-23026\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 8 + 16. Let z be m\/(-8) - (-6375)\/20. Suppose 10*w - 4*w - z = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/4*336\/60. Let r be u\/(-4)*2 + 5 + -8. Suppose 0 = 3*p - 4*p + 15. Solve p = 2*w + 5*o + 3, 3*o - 28 = r*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n = 15*n. Suppose n*f = -f + 95. Let s(o) = 20*o**2 - 3*o + 4. Calculate the remainder when f is divided by s(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.21 and -58.\nAnswer: -12.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - m**3 - 2*m - 2*m + 10*m to the form h*m**3 + b*m + d + k*m**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0 = 2*i - 4, -5*z - 14 = 4*i. Let t = 1 + i. Suppose t = l - 25. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -13*v - 5. Let x(i) = 1. What is c(r) + 3*x(r)?\nAnswer: -13*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 132493*x - 6 + 0 + 4 + 132495*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 20) + (6 + 4 - 1 - -17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -28*c**2 - 3*c + 3. Let i(f) = -74*f**2 - 8*f + 8. Let t(a) = -3*i(a) + 8*n(a). Let u(v) = -159*v**2 + 1. Calculate t(u(b)).\nAnswer: -50562*b**4 + 636*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -678901, -1357721, -2036543, -2715367, -3394193, -4073021?\nAnswer: -4751851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((112\/8)\/(-14))\/((-9)\/(-1)))\/1. Let v = 0 + 0.2. What is the biggest value in 0, v, n, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2949*z + 3697*z - 522*z to the form s*z + d and give s.\nAnswer: 6124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1264 or 54413\/43?\nAnswer: 54413\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.2 (b) 0.4 (c) -0.14 (d) -1415\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (16 + -12 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 793433022 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 38 - -a0765?\nAnswer: a07a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220.9 less than -376633?\nAnswer: -377853.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 603337181?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -451*y**2 + y + y**3 + 2*y**4 - 3 + 0*y**4 + 450*y**2 to the form a*y**2 + u*y**3 + c*y + p*y**4 + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**4\/12 - q + 2. Let n(x) be the first derivative of a(x). Let m(p) = 3*p**2. Determine n(m(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39188 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -111 or 394173?\nAnswer: 394173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/(-124))\/4*1\/(7\/2)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -1\/30*v**3 - 2*v**2 + 0*v - 1\/60*v**4 + 0 - 1\/300*v**5. Suppose r(l) = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 825 and 38400?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 75*v - 22540 = -458*v + 83*v for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.6. Let o = j + -1. Which is the nearest to -0.1? (a) o (b) 2\/15 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 119, 3\/4 in decreasing order.\nAnswer: 119, 3\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 8*f - 2. Let v be a(-4). Is 5*(v + (-23716)\/(-20)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -18. Suppose -5*l + 4 = 4*y, 5*l - 16 = y - 2*y. Suppose -l*a = -n*a + 505. List the prime factors of a.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0 + 5. Suppose -2*d + 4*z = -6, -4*d + 12 = -0*d + q*z. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 3\/4 (b) 1\/2 (c) -0.41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30344000235 + 0?\nAnswer: -30344000235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20\/7 - 46\/21. Are a and -0.6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(17\/3 + 0). Solve -5*l + d - 7 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11212 + 10?\nAnswer: -11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1647*b - 8 = -1644*b - 4*p, -5*b - 4 = -2*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3616*x - 760*x + 9452*x - 757*x as w + j*x and give j.\nAnswer: 11551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l**3 - 97*l**2 + 18*l - 68. Let f be b(12). Solve -s = -2*n + f, -5*s - n - 2*n = 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/9)\/(5\/((-15)\/4)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 858?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*i*m**2*z + 74*i*z + 8*m**2 + 4*m*z + 5*z wrt m.\nAnswer: -10*i*m*z + 16*m + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 4:45 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3879 smaller than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2 + 26102*a - 26104 = 0.\nAnswer: -13052, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.1 - 1.1. Let d be (-2)\/((1 - -1) + -1). Put 0, o, d in decreasing order.\nAnswer: o, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 5. Let b(o) = 3*o - 4. Let y(i) = -4*b(i) - 5*j(i). Let z be y(-7). Solve z*a + 5*n + 12 = 3*a, a + n = -3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 67. Suppose t + 10 = 5*p. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 134 = 7*q - 2*s, -2*q + 4*s = -52. Let j be -22*(-3)\/q*9. Is j smaller than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 8*k**2 - 11*k + 9. Give h(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 + 58*n - 391. Calculate i(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from uuduududuuudud.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/85 (b) 16705 (c) 0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/30 and (-946)\/(-168) + -25 + 21?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -205854, -1646848, -5558114, -13174788, -25732006, -44464904, -70608618, -105398284?\n\"Answer: -205856*p**3 - 2*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153)*6)\/(sqrt(81)*-2).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -11*c + 34. Let g(z) = -24*z + 67. Let a(p) = -6*g(p) + 13*l(p). What is the units digit of a(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (230\/(-25))\/((-53)\/1855). Which is the second biggest value? (a) -1 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4544750 divided by 70\nAnswer: 64925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-156)\/351 + 5\/(-9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4375*h + 22 - 22 + 9508*h + 6009*h.\nAnswer: 19892*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 2*u**2 + 4*u**2)*(-8932*u + 1329*u + 4032*u).\nAnswer: -7142*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**2. Suppose 0 = -51*z + 56*z. Let f(x) be the second derivative of 0*x**2 - 5*x + z + 1\/2*x**3. Calculate l(f(i)).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2400496 is divided by 355.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -3*a**8\/56 + a**5\/30 + 15*a**2\/2 + 8*a. Let u(o) be the first derivative of s(o). Find the third derivative of u(k) wrt k.\nAnswer: -1080*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1124427437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.15571 - -0.02571. What is f rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n = -42. Suppose 0 = -2*d - 6*a + 2*a + n, 0 = -d + a + 19. What is the tens digit of 22\/8*5\/(d\/228)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110*a**6 - 189*a**2.\nAnswer: 13200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/9*18\/2. Suppose -g*z + s + 9 = 2, -s = 4*z. Let p be -1 - 1\/(z\/(-3)). Solve 2*a - 4 = -w, p*a - 2*w - 3*w - 28 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301*i - 306*i = -5*w - 180030, -2*i = 5*w - 72033. What is the ten thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - 13) + 11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2570115, -2570109, -2570093, -2570061, -2570007?\n\"Answer: q**3 - q**2 + 2*q - 2570117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 + 52*k - 157\/3.\nAnswer: (k - 1)*(k + 157)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936 is divided by 33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13037?\nAnswer: 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4080*d + 509.\nAnswer: -4080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -7 + 15 + -5 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2828427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 37. Let g be (102\/4)\/(40\/a). Let t = g + 37\/5. What is the nearest to 0 in t, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439218 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98257*p + 114958*p + 6288*p + 45936*p.\nAnswer: 265439*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -28. Let g(t) = -t**2 + 25*t - 46. Let o be g(x). Solve o*f = -f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 4*a = 70, -3*m + 15 = 3*a - 15. Solve -2*l - r + 7 = 0, 16 = -4*l - m*r + 15*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0)**32)**(-1\/9))**(-2\/21) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qquuurruuuuu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303891?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**5\/60 - 5*u**4\/24 + u**3\/6 - 34*u**2. Let w = 819 + -824. Give j(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -53 - 48. Let v = 123 + j. What are the prime factors of (v - 1) + (-5 - (3 - 5))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10589.1 - -10589. Sort -77, u, -4\/7, -4 in decreasing order.\nAnswer: u, -4\/7, -4, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 85*o - 1778. Let p be y(46). Calculate the greatest common divisor of 736 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24447*c**3 + 7*c - 7011703 wrt c?\nAnswer: 73341*c**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3029549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 32*v**3 - 18660*v**2 - 8704862*v - 42. Let f(h) = 7*h**3 - 3732*h**2 - 1740972*h - 9. Let c(s) = 3*a(s) - 14*f(s). Find o, given that c(o) = 0.\nAnswer: -933, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/9 at most as big as -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + 21)*4\/(-6). What is the units digit of 7\/((-21)\/d) - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**4\/12 - m**3\/3 + m**2\/2 - m. Let d be x(3). Suppose n - 140 = -d*n. Is n a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 152210.89567 to the nearest one thousand.\nAnswer: 152000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460*u + 15 = -455*u. Calculate the lowest common multiple of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153973884633 - -0.4?\nAnswer: 153973884633.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13452580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**5\/y))\/(y**(3\/7)*y)*((y**(-11)\/y*y)\/y*y)\/(y*y**(-7\/4)\/y) assuming y is positive.\nAnswer: y**(-383\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4244 - 2579. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100308918.\nAnswer: 2, 3, 127, 131639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53.73892 decades?\nAnswer: 537.3892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*g + 35*g = -56*g + 504 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6*v + 57 = 0. Calculate the least common multiple of 20 + -8 - (-1)\/(2\/(-8)) and v.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152754023*o**2 + 166*o - 864272 wrt o.\nAnswer: 305508046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 18 = 3*v - 50, -4*v + 99 = 3*h. Calculate the least common multiple of v and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 5*r**2 - 40 + 74.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*((d**(-7\/4)\/d)\/d)\/d*d)**(-3\/5) assuming d is positive.\nAnswer: d**(33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2317)\/(4 + -3 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1533, -1549, -1575, -1611?\nAnswer: -1657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-565 + 39*r + 565)*(1 + 3 - r - 1).\nAnswer: -39*r**2 + 117*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -23. Let q = p - 23. Let y(x) = 10*x - q*x - 1 + 0. What is y(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9491 + 11317. What is the smallest common multiple of x and 14?\nAnswer: 12782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Let l(b) = -a + 5 + b - 1 + 16*b**2. Is l(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 89 - 89.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 2*q**2 + 3*q + 4. Let k be c(-2). Let x(s) = 3*s + 3. What is x(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67173.\nAnswer: 3, 22391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 516 - 346. What is the remainder when ((-18)\/45)\/((-1)\/d) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11899 in 8\/11, -1, 1\/3, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/g**(-1))\/g)*g)**(-6\/13)*(g*g**(4\/3)*g)\/(g*g*g\/(g**(2\/7)*g)) assuming g is positive.\nAnswer: g**(316\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1232)\/(-280))\/(((-4)\/6)\/((-5)\/(-3)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 0.3, -316.\nAnswer: -316, -7, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65756182 = -75*p - 65757457 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 488 divided by 8.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/10)\/(2\/(-5)*(-278)\/556)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g. Let m be o(-1). Is 2\/m*(2 - -161) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/4 - 939*j\/2 - 293907\/4.\nAnswer: -3*(j + 313)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29769, 29750, 29721, 29682, 29633, 29574, 29505?\nAnswer: 29426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 4*q**2 - q - 3. Let d(t) = -17*t**3 - 210*t**2 - 4*t - 14. What is d(u) - 4*y(u)?\nAnswer: -13*u**3 - 194*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 92614573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 19 - 673. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x. Let y(q) = -q**2 + 1508584. Determine y(h(g)).\nAnswer: -g**2 + 1508584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 166.4 - 12.4. Let k = f - 242. Let t = 88.0098 + k. Round t to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*g = -5*g - 5, -15 = 3*g. Suppose -5*v = -t*r + 35, 3*r + v = 19 + 10. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 6*k - 4, 5*z - 5*k = 8*z - 22. Find d, given that 18*d**z + 0 - 4\/5*d - 96\/5*d**3 + 34\/5*d**2 = 0.\nAnswer: 0, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1923194 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 474139032 and -0.2.\nAnswer: -94827806.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -36227 (base 10) to base 15\nAnswer: -ab02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 1437041 and -7767.\nAnswer: 1429274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-41538)\/387)\/(-161)*(-9)\/(-84).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 + 318408*r**3 + 16897275744*r**2 + 298901543060864*r.\nAnswer: 2*r*(r + 53068)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 a factor of 1108023710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 0. Suppose 2*f - 38 = -k - m*k, 3*f = -3*k + 36. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 17*z = -8. Let x(m) be the first derivative of -7 + 0*m**2 - 8*m**2 + 7*m**z. Let u(f) = 18*f. Determine u(x(o)).\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzc when three letters picked without replacement from {e: 2, b: 5, c: 1, z: 11}.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4921949?\nAnswer: 4921949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -4\/5, 1\/9, 4, 230.4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 341 - 339. Solve 2*q - t = -6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 c when four letters picked without replacement from yzycrzdccdddyrdz?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**3*t**2 + 52*n**3*t*y - 2*n**3 - 18*n**2*t**3*y + n**2*t**3 - 106*n wrt y.\nAnswer: 52*n**3*t - 18*n**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20, -6, 19572\/115?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -11*n**2 + 2*n**2 + 5*n**2 - 39*n + 3*n**2 + 40*n. Let g(h) = 2 - 5 + 2. What is -g(z) - 2*s(z)?\nAnswer: 2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r - 13. Let c be v(-7). Calculate the highest common divisor of 32 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 18 + 81 + 33 - 4944*b. Let f(l) = -341*l + 9. Let h(r) = -72*f(r) + 5*y(r). Differentiate h(i) wrt i.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 2*w + 6. Let r(n) be the second derivative of 0*n**w + 0 + 3*n - 1\/70*n**5 + 1\/21*n**3 + 4\/105*n**6 - 2\/21*n**4. Find g such that r(g) = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 1. Let b be q(-1). Suppose 3*z + z = -2*x, 4*z - 4*x = b. Let h(j) = 2*j - 1. Let a be h(3). Put a, z, 4 in decreasing order.\nAnswer: a, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(12)\/(2*sqrt(4)) - sqrt(108)\/(sqrt(27)\/sqrt(3)).\nAnswer: -5 - 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + -11153104?\nAnswer: -11153164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11680, -11678, -11684, -11704, -11744, -11810?\n\"Answer: -d**3 + 2*d**2 + 3*d - 11684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -1068.\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20\/16*(-1280)\/1000*-20*1\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/2712 and 0 + (4\/(-14) - ((-55332)\/672)\/(-29)).\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34.68 + 2.12. Let a = i + -37. Let o = 2.8 - a. What is the closest to 2\/7 in -0.2, -5, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20220*i**3 + 16384*i**3 - 6408*i**3.\nAnswer: 30196*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + -3. Let t(x) = 21*x + 111. Let w(v) = -3*v - 16. Let m(f) = -4*t(f) - 27*w(f). Calculate the lowest common multiple of 20 and m(s).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*(5*-3*sqrt(2) - -1*sqrt(2)*-6))**2.\nAnswer: 31750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**16\/b*b*b*(b**(-2\/19)\/b)\/b*b\/(b*b\/(b*b**(6\/7))*b)*b\/(b*b**(19\/5)) assuming b is positive.\nAnswer: b**(7283\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k + 0*k + 20 - 11 - 6*k to b*k + t and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 32. Calculate the remainder when 59 is divided by o(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 880486 to the power of 1\/2, to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 453 and 7325875065.\nAnswer: 7325875518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18970, -38115, -57260, -76405, -95550?\n\"Answer: -19145*i + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -64\/100615?\nAnswer: -64\/100615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x - 280. Let t be u(-47). Solve 4*d = -12, 0*d = -t*k + 4*d + 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.18 and -0.198.\nAnswer: -0.03564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/6 - -9\/2. Let r = 39207 + -39202. Factor 3*c**4 + r*c**3 + z - 4*c - 14\/3*c**2.\nAnswer: (c + 1)*(c + 2)*(3*c - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-90))\/((-1469)\/65 + 7).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5913997, 5 in decreasing order.\nAnswer: 5913997, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + 5*sqrt(187)*-3 + sqrt(187))\/((sqrt(44)*3)\/sqrt(4)))**2*2.\nAnswer: 5746\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 7*u + 2*u)*(-1 - 3 + 0).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1509209?\nAnswer: 13, 17, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4113201 is divided by 235?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 4*z + 3*z)*(58*z + 4*z - 12*z) + (-3*z**2 + 3*z**2 - z**2 + (0 - 4 + 2)*(-2*z**2 + 0*z**2 + z**2))*(0 + 5 - 1)*(3 - 7 + 2).\nAnswer: 142*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from rrrrrrrrrreeerr.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 7*s = 1064. Suppose -m + 34 = -3*t + t, -t = -5*m + s. Calculate the remainder when m is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 22*p**3 - 2*p**2 - p + 2. Let c be n(2). Let d = -3463 + 3210. Let x = c + d. Is -85 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 3:08 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/24)\/(1\/(-16)). Sort -5, -1, 3, d in descending order.\nAnswer: d, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 divided by -26973?\nAnswer: 104\/26973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/5 + 1706454*i - 1213327189215.\nAnswer: -3*(i - 1422045)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*k + 3*b, -3*b = 5*k + 675 - 665 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - 2*v + v**2 + (-6*v + 172 - 181 - 28*v)*(v + 2*v - 4*v).\nAnswer: 35*v**2 + 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*-69403850\nAnswer: -138807700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + 6 - (28 + -9 - 41)) + -45?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 - 2)\/((-4)\/8))\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m + 3. Let c(b) = 5*b + 4. What is -6*c(i) + 7*l(i)?\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2836*b**2 - 3962*b**2 - 3 - 7390*b**2 + 3.\nAnswer: -8516*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 12:48 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -434 divided by -2\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = 17*o - 108. Calculate the lowest common multiple of o and 30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 24 = 4*p. Let s be (-8)\/p*(-5 + -1). What is the derivative of s + 3 - 4*f**2 - 3 + 0 wrt f?\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -199 - -257. Let q = -52 + d. Solve 6*o = 3*o - q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23485, -23483, -23455, -23389, -23273, -23095, -22843?\n\"Answer: 2*r**3 + r**2 - 15*r - 23473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3594480 divided by -449310.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -672 divided by -48?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-224)\/(-784))\/(1*-1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/80 and -97\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 324809339 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a + 3*a + a**2 - 4*a. Let x(n) = 3*n**2 + 3*n - 9. Let f(b) = -3*b**2 - 5*b + 6. Let h(d) = 3*f(d) + 2*x(d). Give 4*h(r) + 9*u(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {s: 12, e: 1, w: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/300)\/(1\/(50\/12))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2438.579 + 2437. Let y = c - -1.6. 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: Let v = 183 + -179. Let c be (-6)\/(2 + v) - (-2)\/8. Let b = 0.37 + 0.03. What is the third biggest value in b, c, 2\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029 a factor of 1853305069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -103*((-8)\/10)\/(-2)*41\/((-1148)\/70)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 10:18 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 7 + 27 = 5*t, 4*t = 0. Calculate the remainder when (-7)\/m*(0 - 20) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 16*t + 2. Let w(a) = -a**2 + 10023*a. Give w(b(l)).\nAnswer: -256*l**2 + 160304*l + 20042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 373.2207 millilitres in litres?\nAnswer: 0.3732207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 284, 310, 336?\n\"Answer: 26*s + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**2 + 4 - 2 - 3)*(0*d**2 - 4*d**2 + d**2) to j*d**2 + m*d**4 + k + y*d + o*d**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -533, 0.5, 0?\nAnswer: -533","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 13 = 8*q + 5*y, -q + 7 = 3*y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17346)\/(-20237)*50\/(-20)*(-21)\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 932 = -5*v - 1810, 5*h + 4*v - 3407 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 8:57 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 - 36303*s**3 + 37656423*s**2 - 9382390677*s.\nAnswer: -3*s*(s - 489)**2*(s + 13079)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14026087.\nAnswer: 83, 347, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73886 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glggglllglgl. Give prob of sequence lgg.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a3 + 6908?\nAnswer: 6015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 11 = 3*m, -j + 168 = -4*m + 175 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-46 + 18)*6\/7. Let r be w\/(-180) - 2426\/(-30). Suppose h - r = 118. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126727 and 7805889?\nAnswer: 2802314151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 7 = -4*w. Let y be (-2)\/58*(w + 3). Is y > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-1233)\/(-12) - ((-40)\/(-5))\/(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 825735 (base 11) in base 15?\nAnswer: 1b29da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/434 and -32\/416857.\nAnswer: 833714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w - 228. Determine m(-48).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 293.\nAnswer: -29.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(2736) + -1)**2 + sqrt(2736)).\nAnswer: -12*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 2*i + 11. Let c be r(-9). Suppose 0 = 2*x + 2*j + 54, -8*x + 4*x + j = 123. Let u = x - c. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 9*h**2 - 20*h + 1. Suppose b - 3*b = 10. Let j be i(b). Solve -5*x = j + 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.16, 14.\nAnswer: -0.4, 0.16, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15226 - -15367. Let f be ((-94)\/(-4))\/((-1)\/(-4)). What is the highest common factor of s and f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6\/13, 2\/61 in increasing order.\nAnswer: 2\/61, 6\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + c + 2. List the prime factors of w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1042049 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 77.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000357 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 214.603512 rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15180?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1324*(84\/(-24)*(-366)\/(-14))\/3?\nAnswer: 2, 61, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.296 + -0.296. What is the second biggest value in 5, 2, t, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.86438 - -33.62078. Let p = s - 32. Let y = p - -0.25. Round y to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1112 + 2*n - 110 + 4*n + 306.\nAnswer: 6*n + 1308","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 6*c + 7. Let p be y(-5). Let b be p*(0 + 3\/6). Suppose -d + 3*r = 5*r - 6, -3*d - r = -8. Solve q + 5*f = -2*q - b, 5*f + 16 = d*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15\/4 + 9\/4. Let u = 1.0546 - 0.0546. Which is the second smallest value? (a) 3\/7 (b) i (c) -2\/7 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b - 1. Let n = 323 - 322. Give z(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w + w**4 + 5*w - 2*w**2 - 1 + 0*w - 5*w**3 + 2 + 2*w**3 to f*w**3 + t*w + h*w**4 + i + y*w**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5672 and -88762001638?\nAnswer: 88762007310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*m + 163*m - 82*m + (-4 + 3 - 1)*(1 - 1 - 2*m) + m - 8*m - 4*m to the form h*m + y and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.706 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4950 divided by -225?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -31, 22, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 407808?\nAnswer: 407808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4, 66*a = -2*l + 61*a + 78. Calculate the remainder when 1169 is divided by l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3016.416010072 + 2.\nAnswer: 3018.416010072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*v**3 + 22*v + 37*v**3 - 76*v**3 in the form s*v + l*v**3 + n + c*v**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*v + 0 = -3, 0 = 3*v - 3. Let m be (-6)\/(-3) + (h - 2). Suppose d = 5*c + 13, -d + 26 = 2*d - m*c. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3212, 3204, 3176, 3116, 3012, 2852, 2624?\n\"Answer: -2*v**3 + 2*v**2 + 3212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/5657706 and 10\/99.\nAnswer: 62234766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -251 + 419. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eltrccewr. What is prob of picking 1 w and 3 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -23. Suppose -20 = -4*c - 0*u - 4*u, -15 = -r*c + 3*u. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7618743*b*n + 10128*b + 175 wrt n?\nAnswer: -7618743*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from mxuggmuxumuxgxgmuu.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 462470580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*l + 45 = -w, 2*w - 23 = 5*l. Let y be 13\/((-78)\/(-126)) + -3. Suppose -t = y*t - 513. Calculate the remainder when t is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19 (b) -1\/3 (c) -302 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2803568 divided by -274\nAnswer: -10232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a**3 - 3*a**2 - 42*a - 80. Determine i(-6).\nAnswer: 1360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -4*d + 4, 69*d = 72*d + 5*f + 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8396 = 467*n + 10731 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 76658723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -103 + 100 + 4 + 1 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 1.459577?\nAnswer: 4.459577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.6505 rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1560 and 1560.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - x - 20 = 3*x, -3*o = 2*x - 25. Suppose -o*y = -2*y + t - 59, 3*y - 31 = -5*t. Calculate the highest common factor of y and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 14, -1, -2\/29, -8?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*60\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3623536769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -13\/32 (b) 0.1 (c) -1.3 (d) -1\/3 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**3 - 4*o**3 + 2*o**3 - o**3 - 2*o**3 + o**3 - 2*o**3 + 0*o**3 + o**3 + (0*o + 3*o - 2*o)*(0*o**2 + 2*o**2 - 3*o**2) - 2*o**2 + 2*o**2 - 2*o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + f)*(1 - 4 + 1) + 42 + 16*f + 35*f - 177 - 48*f as v*f + c and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18658459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*o - 7 = 42*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 82527, 329828, 741987, 1318998, 2060855, 2967552, 4039083, 5275442?\n\"Answer: -x**3 + 82435*x**2 + 3*x + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 divided by 91?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 368*q - 775*q + 401*q. Let t(r) be the third derivative of 0*r**3 + 0 + 0*r + 2*r**2 - 1\/6*r**4. What is t(c(f))?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 63277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 1. Let v be d(-8). Let p = v - -15. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -369599650 - 5062?\nAnswer: -369604712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -12715 - 14*c + 0*c + 2*c**4 + 12714 - 2*c**2 in the form s*c**4 + v*c**2 + q*c**3 + a*c + b and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q + q)*((-3 + 1 + 3)*(-2 - 1 + 4) + 1 - 1 - 3).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20 - 54*v - 12*v**4 - 46*v + 152*v - 54*v wrt v?\nAnswer: -48*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3822\/29, -7, 4 in ascending order.\nAnswer: -7, 4, 3822\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -183.91, 0.3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 6*l - 70. What is x(10)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w - 4*w + 4*w + 5*w**4 - 4*w wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*v*x**2 + 82*v + 77*x**2 wrt x?\nAnswer: 4*v*x + 154*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 201*j + 12102. Determine q(-67).\nAnswer: -1365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44528 plus 0.212756982?\nAnswer: 0.658036982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427 = 3*a + 5*f, 0*f + 5 = f. Suppose 4*d + d - 27 = -4*j, 4*j + 3 = 5*d. Suppose d*w = w + a. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 21\/583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -213*d - 8. What is the remainder when s(-1) is divided by 53?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, q: 2, w: 1, u: 1, e: 1, l: 2}. What is prob of sequence qeu?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = p - 78, 2*d + p + 42 + 0 = 0. Let y = 27 + d. Let m(z) = z - 5. Determine m(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 8:05 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4, -0.3, 0, -240?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 9:44 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-25 + (-5404)\/(-140))\/((-152)\/(-20) + -3 + -5)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 46430010?\nAnswer: 92860020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -258*o + 13. Let v(r) = 2*r**3 - 3*r**2 + r - 3. Let m be v(0). What are the prime factors of g(m)?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 54455 = 15601. Let b = g - -10950. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*x + 36 - 39\/2*x**2 = 0. What is x?\nAnswer: -12, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -21089*y + 168751. Calculate z(8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/11659 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -888 times -8077?\nAnswer: 7172376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37857962*z + 37858026*z - 3648 = 0 for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-668)\/(-6)*3 - 10\/5. Let g = 307 - z. Is -32 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k**(1\/2)\/k))**(2\/83))**(-25) assuming k is positive.\nAnswer: k**(-175\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26461.\nAnswer: 47, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - -28. Let y be (-21)\/m + (-536)\/(-10). Factor -y*t**2 + 21*t**2 - 6*t + 29*t**2.\nAnswer: -3*t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 3. Let u be g(-7). Suppose 1068 = u*o + 10468. Let k = o + 23621\/10. Find the common denominator of k and 97\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*j**3 - 79*j**3 + 34*j**3 + 205*j**3 - 99*j**3.\nAnswer: -31*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - d = 69, 5*l + 4*d + 68 = 8*l. Calculate the least common multiple of l and 12\/2*(-16)\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*x + 70*x - 12696 = 185*x + 20*x for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 11. Let c(u) = u + 10. Let k(p) = 3*c(p) + 2*t(p). Let s be k(0). What is the greatest common divisor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5296312 to the power of 1\/2, to the nearest integer?\nAnswer: 2301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/7 - 397384*k**4\/7 + 851616*k**3 + 2895460*k**2 + 21062978*k\/7 + 7153452\/7 = 0. Calculate k.\nAnswer: -198707, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**3 + 165*t**2 + 9*t - 10. Let p(m) = m**3 - 83*m**2 - 4*m + 4. What is 7*p(j) + 3*x(j)?\nAnswer: -2*j**3 - 86*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/10 and -17\/360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 equal to 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16097 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/15)\/(o\/o**(-15)) assuming o is positive.\nAnswer: o**(-236\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*a - 7*a - 4*i, 772*a - 10 = 776*a + i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421600015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318570997?\nAnswer: 67, 4754791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jff when three letters picked without replacement from {f: 2, p: 7, j: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6 = 2*w, 0 = 3*w - 0*t - t - 37. Suppose -w*u + 172 + 48 = 0. Solve 12*v - u = 8*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and -18.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 a factor of 1362928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 0.83505.\nAnswer: -0.584535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from zaanxmmaxxaxnmxbxmxm?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 314164957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152498777.\nAnswer: 797, 191341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 14) in base 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**4*l + 23608*f**3*l**2 - 23*f*l**2 - 125*l wrt f.\nAnswer: 24*f**2*l + 141648*f*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5036500 (base 8) to base 5\nAnswer: -314421100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3199856 is divided by 114280?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 25. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/16 and 91\/14058.\nAnswer: 112464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 516928068 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4992 and 1958112.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9580001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7)*63)\/(135\/(-27))?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 18*c - 21796. What is g(139)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 185*n - 9131. Let s(i) = -53*i + 3044. Calculate 2*a(p) + 7*s(p).\nAnswer: -p + 3046","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/((-17112)\/(-8959)) - -36?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4.242283t?\nAnswer: 4242283000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 2\/13 (c) -194 (d) -2\/33 (e) -3\/7 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kstks. Give prob of sequence ks.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 411776, 822685, 1233594, 1644503?\nAnswer: 2055412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 231651583 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 955 and 818053.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*q - 468 = 234 - 121 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/27)*h\/h**(2\/9))\/(h**43\/h**(1\/20)) assuming h is positive.\nAnswer: h**(-22193\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + (sqrt(243) + 0)**2))*5.\nAnswer: -1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15763451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-24) - (-389)\/6. Calculate the common denominator of (2 - (2 + 1)) + 22 and (-13)\/(u\/(-6)) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 141 - 124. Suppose -16*k - 51 = 4*w - n*k, -3*k - 15 = 0. Let m = 17 + -30. Which is greater: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2150, -3792, -5336, -6782, -8130, -9380?\nAnswer: -10532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/12173 and -38\/1645.\nAnswer: 60865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101200221 (base 3) to base 8.\nAnswer: 17171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/36)\/(((-14787)\/(-62))\/(12\/1)).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 68*q + 3. Let o(d) = -48*d - 3. Let b(t) = -3*o(t) - 2*u(t). What is b(5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**8\/2856 - 2*k**7\/255 + 49*k**6\/1020 - 3*k**2\/2 + 42. Let w(y) be the second derivative of z(y). Factor w(c).\nAnswer: 2*c**3*(c - 7)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 14) to base 7\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -54901 divided by -6\nAnswer: 54901\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*1*1*10\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(147))\/sqrt(7))\/(sqrt(63)\/sqrt(225)).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77645997 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 1:25 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1216) + 1 + sqrt(1216) - sqrt(1216) - sqrt(1216)) + (sqrt(171)*-2 - sqrt(19)))**2 - (sqrt(684) - 3*-2*sqrt(684))**2)*-5.\nAnswer: 70*sqrt(19) + 162920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 5*l**2 - 5*l + 2. Let k be g(6). Suppose -d - k*d + 81 = 0. Calculate the smallest common multiple of 8 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 minus 1.910979598?\nAnswer: -2.050979598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**8\/1512 - 2*p**7\/189 - 23*p**6\/540 - 7*p**5\/135 + 2163*p**2. Let y(l) = 0. Calculate l.\nAnswer: -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**5 + 717*u**3 + 2*u**2 - 59*u + 33 wrt u.\nAnswer: 20*u**3 + 4302*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 25, -298, 5.1, 2, -0.4 in descending order.\nAnswer: 25, 5.1, 5, 4, 2, -0.4, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/13 - 90720*o\/13 + 181432\/13.\nAnswer: 2*(o - 45358)*(o - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 530529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 46 - 10. Suppose 3*d = 15 + m. Solve 0 = -5*j - 4*a + d - 2, 4*j + a + 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 - ((5 - 21) + 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttmmtmmytmmmtymymym. Give prob of picking 1 y and 1 m.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3965, 3885, 3757, 3581, 3357, 3085?\n\"Answer: -24*a**2 - 8*a + 3997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2028*s**3 + 80974504*s**2 - 62287780*s\/3 + 3992800\/3.\nAnswer: -4*(s - 39928)*(39*s - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 2. Let a be (-75)\/45 - (-868)\/(-3). Let y = -281 - a. What is the lowest common multiple of r and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**(-6))\/p)\/p*p)**(3\/40) assuming p is positive.\nAnswer: p**(21\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*a + 6. Let s(j) = j + 7. What is s(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 3528960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/3*((-67)\/(-5) - 8\/1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000384592 rounded to 6 dps?\nAnswer: -0.000385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*g + 2*x - 24 = 126*g, 2*g + 5*x - 49 = 0. Solve -4*p + 4*d = 3*d + 10, -5*d - g = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-8)*(3 + 1). Suppose 6 = 3*k - 0*k. Is ((-1)\/k)\/(b\/(-678)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d. Let c be k(5). Suppose c = 3*y - 22. Let w(o) = o + 4. Let a(g) = -2*g - 9. Let q(f) = y*w(f) + 4*a(f). Let n(r) = -5*r**2. What is n(q(t))?\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 1, s: 1, g: 2, a: 1, l: 1}. Give prob of picking 1 a and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence etcc when four letters picked without replacement from iiicciveiictivci?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/3? (a) -13\/2 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.51 + 11.01. Suppose 2*j - 7*j - 42 = i, 0 = 3*j + 5*i + 12. What is the nearest to 2\/5 in -0.5, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 2707894.\nAnswer: 13539470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65540 and 7540?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.16 - -0.36. Sort u, -4, -0.2.\nAnswer: -4, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847603 is divided by 36.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {l: 1, b: 1, s: 4, f: 1, x: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 1110022, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5.96, -2, 4, 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 43911 - 43901 = -4*b, i = 3*b - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from toorrrrrrrrrrrooro. Give prob of sequence oo.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 3*x + 3. Let c(q) = -9*q**2 - 18*q + 18. Let a(i) = c(i) - 6*p(i). Let m(v) = 54*v - 1. Determine a(m(k)).\nAnswer: -8748*k**2 + 324*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**6\/160 - v**5\/80 - v**4\/8 + v**3\/2 - 5*v**2 + 65. Let q(r) be the second derivative of s(r). Find n such that q(n) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1089*y**2\/2 + 2244*y + 2312.\nAnswer: (33*y + 68)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 5*p**2 + 4*p - 2. Let h(m) = m**2 + 12*m - 14. Let i be h(-12). Let x = 10 + i. What is a(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15\/7 (b) 4\/7 (c) -0.07 (d) 0 (e) 14\/3 (f) 1\/3 (g) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 14*l + 11*l - 79*l**2 + 27 - 7 + 5*l + 82*l**2. What is the thousands digit of b(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65*(-12 + -116*(-7)\/70).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(5) + ((sqrt(5) - sqrt(60)\/sqrt(48)) + sqrt(5))**2.\nAnswer: sqrt(5) + 25\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*((-337)\/(-2022))\/((-14)\/(-16))?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -l + 13, 5*l - 46 = 3*m + 11. Calculate the remainder when 36 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -434*x**3 - 5*x**2 + 19*x?\nAnswer: -2604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 + 203 - 4*w**2 + 4*w**2 - 488.\nAnswer: -w**3 - 285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 - 26*i**2 - 25*i - 13. Let j be 18*(-1)\/4*8\/3. Let u be v(j). What is the third biggest value in 0, u, 0.06?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/15 + 1\/15. Let w = 3 - 8. Which is the nearest to 0.1? (a) -0.2 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(20)*6.\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 23*d = 13, 27*d = -2590*n + 2593*n + 54 - 0 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 6*r**2 + 8*r - 1. Give q(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125094348553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -697*c**6\/12 + 258*c**3 - c**2 - 2*c + 162. Find the first derivative of u(j) wrt j.\nAnswer: -20910*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 - 18*i**2 + 9. Let j(c) = c**3 + 5*c**2 - 9. Let g be j(-5). Calculate the least common multiple of v(g) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**2 + 1\/120*g**6 + 0 + 1\/3*g**3 + 0*g + 1\/140*g**7 + 0*g**4 - 3\/40*g**5. Suppose o(p) = 0. Calculate p.\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 5 (b) -0.5 (c) -4\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 4:25 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 71\/16 bigger than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbb. Give prob of sequence bb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 9.2.\nAnswer: 82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 6*g**2 - 4*g + 10. Let z be j(-4). Let p be (-47 - -1)\/(z\/(2 + 1)). Suppose k = -20 + p. What is the remainder when 5 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 268341587 to the nearest integer?\nAnswer: 16381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 130, 286, 440, 592, 742, 890?\n\"Answer: -r**2 + 159*r - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31288*z + 31285*z + 416 + 151.\nAnswer: -3*z + 567","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*h + 110*h + 2 = -120*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 112414413 (base 5) in base 10?\nAnswer: 513733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 14674.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 244 + -668. Let x = -421 - k. Solve v - 3*v + x*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 0*t**2 + t**2)*(-133 + 278 - 2*t + 215).\nAnswer: 2*t**3 - 360*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w - 10 = 6*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/40 and -19\/612.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/((-649)\/162 - -4). Calculate the greatest common factor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543993832 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -11\/19, 2, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**2\/9 - 6614*w\/9 + 1065988\/9 = 0?\nAnswer: -3461, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -117*j + 247*j - 120*j + 170 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/12 + -7\/60. Let b = -2 + 1.4. Let y = 0.2 + b. Put t, y, 1\/4 in decreasing order.\nAnswer: 1\/4, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 1:33 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2838238 and 13325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2761*c + 9127. List the prime factors of r(14).\nAnswer: 3, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 0 + 3. Suppose -3*s = -14 - l. Suppose -5*i + 116 = -3*m, -s*i + m + 110 = -4*m. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -344678, -688745, -1032812, -1376879?\n\"Answer: -344067*x - 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 + 77998*w**2 - 105 + 211 + 115540*w**2.\nAnswer: 193538*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2306 and 952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -111, -147, -217, -333?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r**5\/9 + 1348*r**4\/3 + 15170*r**3\/9 + 2996*r**2\/3 - 240*r = 0. What is r?\nAnswer: -180, -3, -1, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -57. Suppose -22*j + 24*j - 47 = -5*y, -4*y - 20 = 0. What is the highest common factor of l and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.540108 rounded to 2 dps?\nAnswer: 1.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, p: 1}. Give prob of sequence zz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**3 - 5*g - 1. Let j be -20*6\/8 + 13. Let n(x) = -13*x**3 - 16*x - 4. Determine j*n(l) + 7*d(l).\nAnswer: -2*l**3 - 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -23*g + 19*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + b74?\nAnswer: b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7*y**3 + 14*y**2 - 11*y + 16. Calculate q(3).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 3)*(0*z + 2*z - 3*z) - 5*z + z + z + (z + 4*z - 4*z)*(4 - 4 - 2) + 3*z - 4*z + 0*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -210120201201?\nAnswer: 210120201200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -656*r**2 - 611*r**2 - 42*r**2 as q*r + d + v*r**2 and give v.\nAnswer: -1309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 87 = 117 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16981 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 10*m + 4949. Suppose 5603 + m = 2*r. Suppose -4*x + 8*x - r = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 13 - 11 = 0. Let r be -7*2\/6 + (-22)\/(-66). Calculate the remainder when (-6 + 1 - r) + 33 + 7 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -160, -282, -438, -634?\nAnswer: -876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3367 and 0.3833.\nAnswer: 1290.5711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115b6 (base 12) to base 16.\nAnswer: -5b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 14*g - 52. Let l be i(4). Suppose -l*r = -2*r - 4. Solve 3*n + f = -17, 0 = 5*n + 3*f + r + 33 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c + 20 = 0. Suppose 2 + c = -7*z. Let t(q) be the second derivative of -3*q**5\/10 - q**4\/12 - q**3\/6 + q. Give t(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/5)\/y**(-13))\/((y\/y**(6\/7))\/(y\/y**(-6))))**(-29\/4) assuming y is positive.\nAnswer: y**(-5191\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -5, 0.4, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605*w = -3*o - 604*w - 4, -5*o + 4 = -3*w. Let t(d) = 5*d**2 + 3*d. Let p(n) = -n**3 - 6*n**2 - 4*n. Determine o*t(b) - 3*p(b).\nAnswer: 3*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2 + 1. Let o(n) = -n - 4. Let s be o(-3). Determine r(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 1101088?\nAnswer: 7707616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -14. Let k = -7 - j. Which is the nearest to k? (a) 0 (b) -0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11603687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 m, and 1 n when three letters picked without replacement from fnffkiinhmhf.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q + 1783 - 1986 = 0. Sort -4, q, 0.2, 52.\nAnswer: -4, 0.2, q, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 + 0 - 5*c**3 - 2)*(2*c + 26 + 47*c - 24).\nAnswer: -147*c**4 - 6*c**3 - 98*c - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-89)\/(10146\/16)*(-3)\/(-12)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b + z + 29, 5*b + 5*z = 35. Suppose 0 = -0*u + b*u - 432. Let o(k) = 2*k - 5. Let w be o(7). What is the greatest common factor of w and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q. Let r(y) be the second derivative of -11*y**3\/6 - 9*y**2\/2 + 2*y. Let t(i) = 5*i + 4. Let x(a) = -4*r(a) - 9*t(a). Calculate b(x(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6434271 is divided by 377.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000584585 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**7)\/z**(1\/5)*z*z\/(z\/(z**(1\/4)\/z))*z*z*z**7 assuming z is positive.\nAnswer: z**(61\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u - 5. Let h be 8\/(-6) - 0\/u. Let j = -79 + 78.8. Which is the nearest to -0.2? (a) 0.1 (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105122 (base 6) to base 3.\nAnswer: -110012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*h + 9. Let k be (2\/h)\/((-1)\/9). Suppose 19 = 7*v - k*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1905465177?\nAnswer: 3, 7, 11, 2749589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 107235929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (1 + sqrt(2))*1 + -2).\nAnswer: -4*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1233101 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -3*u**2 + 2*u - 23. Let i(y) = 25*y - 9. Determine -2*i(c) - 9*z(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/20)\/((-171)\/12 - -14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r - 3*r + 12 - 8*r**2 + r**3 + 4*r - 2. Is y(8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*j**2 - 11*j + j - 12*j + 39*j**2.\nAnswer: -j**2 - 22*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven quarters of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71649*i - 141193*i + 70702*i to the form q*i + p and give q.\nAnswer: 1158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/16, -13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/4 - y**3\/6 + 47*y**2 + 6*y + 2. List the prime factors of s(16).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.066.\nAnswer: 0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.031 + 4.669. Let d = 1.7 - x. What is the third smallest value in -0.2, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-468)*(-9)\/6. Let x be (-1*4)\/(4 + -5). Suppose f + 3 = x*f. Is f equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100646 is divided by 50302?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 142 + -38?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115.77 - 2.23. Let s = 117.999906 + w. Round s to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3273975 and 4365300.\nAnswer: 13095900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*g = -141*g + 22. What is the greatest common divisor of g and 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163819 smaller than 163819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*h**4 + 51*h**4 - 36*h**4 - h**3 - 21*h**2 + 4 + 0*h**3 to the form s*h**2 + t*h + k*h**4 + o + j*h**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*w - 3*w + 0 - 1)*(76 + 46 - 5) + (0 + 2 + 0)*(-2*w + 2*w - w))*(w**2 + 3*w**2 - 5*w**2) + 1 - 5*w**3 - 1.\nAnswer: -120*w**3 + 117*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004351248306 to six decimal places.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 88*y**4 - 4*y + 16*y**5 + 32*y**2 - 48*y**5 - 84*y**3 = 0. What is y?\nAnswer: 0, 1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67 - -21) + 45 + -1 + -14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 209 - 620\/3. Let c(x) be the first derivative of 3\/4*x**4 + t*x**3 + 0*x**2 + 2 - 4*x. Let c(p) = 0. Calculate p.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1196, -9, -5 in descending order.\nAnswer: -5, -9, -1196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 13*g**5\/5 + 11*g + 6. Differentiate w(o) wrt o.\nAnswer: 52*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 14*a - 140. Let i be (1002\/45)\/2 - (-2)\/(-15). What is the remainder when 166 is divided by r(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1919 take away -0.07?\nAnswer: -1918.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) - 6*-2*sqrt(220))\/(sqrt(110)\/sqrt(275)))\/(5*(sqrt(2) - 2*sqrt(162))*3).\nAnswer: -13*sqrt(11)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/206 - -367\/1854. What is the second smallest value in 40, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10843 is divided by 246?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -42591, -42397, -42203?\n\"Answer: 194*m - 42785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 300 - 7*i**2 + 252 - 552. Let j(o) = -2*o. Let y be j(-2). Let s(v) = -v + v - y*v + 2*v. Give h(s(l)).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 0 - -1 - 0. Let m be (1\/(-2))\/(3\/(-12)). Suppose -m*h + v*h = -34. Calculate the remainder when 49 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 16*t - 38. What is h(-17)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + v. Let n(q) = -10*q**2 - 5*q. Determine n(x) + 5*y(x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 (base 10) in base 2?\nAnswer: 11110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3 + 2*sqrt(72) + 5)**2 + ((sqrt(72) + 4)*-6*-6)**2)*-1.\nAnswer: -114405 - 62400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*q = -0*f - 14, 8 = -5*f - 4*q. What is the units digit of (5\/(-4))\/(f\/32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 2283232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -30171 to the nearest 100.\nAnswer: -30200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*v**2 + 927*v - 105444 wrt v?\nAnswer: -6*v + 927","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*u = 3*u + 10, -25 = -5*a - u. Let q = 1 + -1. Let b be (2 + q + 0)\/2. What is the greatest common factor of b and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19 + 1)*(1680\/(-189) + 6). Solve 21*p = 8*p + b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11586121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13856789753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 167*l**6\/6 + 3*l**2\/2 + 19*l + 9. What is the second derivative of q(r) wrt r?\nAnswer: 3340*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-42)*(-3)\/(-12).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53*c**6 - 67*c**5 + 680*c**3 + 3149*c**2 + 2011*c + 1?\nAnswer: -6360*c**3 - 4020*c**2 + 4080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 25168*d + 8. Let k be f(-6). Round k to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/8 and -51\/569.\nAnswer: 4552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8353 is divided by 41.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2)\/(d*d\/(d*d**(6\/11)))*d**(-2)\/((d*d\/d**(-2))\/d))\/((d**(-2\/9))**(-6\/7))**(-2\/59) assuming d is positive.\nAnswer: d**(-162133\/27258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 14*v**2 + 14*v + 33. Let j be r(-8). Suppose 0 = -322*q + j*q + 179503. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 != -99.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9024543)\/(-847))\/(9\/42).\nAnswer: 2, 3, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -434 divided by -45.\nAnswer: 434\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*q**4 + 2777*q**3 + 2*q**2 - 60391 wrt q?\nAnswer: -624*q + 16662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-176)\/(-3))*-8*1\/3\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:26 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(140) - -2*sqrt(140))*-1)\/(((2*sqrt(77) + sqrt(77))*5)\/(-1*sqrt(33)\/sqrt(3))).\nAnswer: -12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 19843 + 19873 = 0 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18667 + -7153. Does 57 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 1423, 55, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13 + 4\/(16\/21428).\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 34*x**2 + 98*x + 107. Let p be n(-31). Is -340\/7 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2252.08 - 2252. Which is the third smallest value? (a) 1\/10 (b) -2\/145 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/21 and (-148)\/276 - 1\/2?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) -7\/5 (c) -1\/6 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 - 83 - 268*i + 132)*(2*i - i - 3*i).\nAnswer: 536*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 8:23 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/3 (b) -2 (c) -0.07005 (d) 2\/23 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -17*u + 47 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**3 - 12*q**2 + 6*q. Let k(b) = -3*b**3 + 10*b**2 - 6*b + 2. Give 5*k(v) + 4*l(v).\nAnswer: -3*v**3 + 2*v**2 - 6*v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-10 + (1 - 3) + 24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from vydddovdddcyyyy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c**2 - 9*c - 7. Let a be m(-6). Suppose 2*b - 3*r - 182 = 244, 5*r = b - a. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -517618 minus 0.029?\nAnswer: -517618.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3365*q**3 - 47110*q**2 - 4711. Let c(u) = u**3 - 10*u**2 - 1. Calculate -14133*c(o) + 3*k(o).\nAnswer: -4038*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 6*x**2 + 2*x**2 + 4*x**2. Let i(d) = -2*d**2. Determine i(c(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -885, -2615, -5197, -8631, -12917, -18055, -24045?\nAnswer: -30887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 2\/15 (c) 0 (d) -10157\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2458 + -1609. Let d = l + -607. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204 - 195 - 25*d - 186*d.\nAnswer: -211*d - 399","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = d + 3*a, 2*d - 83*a - 2 = -79*a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - 1101?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 14*d + 33. Give l(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-88)*254 + -11.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*j - 37*j + 58*j)*(-3 - 2*j + 3).\nAnswer: -102*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 295\nAnswer: 29.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*s + 1 - 4, 4*a = -3*s + 8. Put 0, a, 4, 1 in descending order.\nAnswer: 4, 1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3*p = -3*w + 5, 2*p - 5*w + 29 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55814236.\nAnswer: 2, 59, 71, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 135340 and -0.331.\nAnswer: 135339.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 102*h**2 - 73*h + 246. List the prime factors of k(103).\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-2 + 1) - (769 - 768) - -6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5849345 and 265.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9. Let l(k) = k + 26. What is 3*l(o) - 8*v(o)?\nAnswer: 3*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - c**2 - 1. Let z be -1*(-2 + 10)\/8. Let i(q) = 3*q**3 - q**2 - 1. Calculate z*m(n) + i(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -564722708 divided by -25669214?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*n + 5*j, -58 + 1 = -5*n - 4*j. Put -1, 5, 2, n in decreasing order.\nAnswer: n, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5412.6, -55, 3\/8 in descending order.\nAnswer: 3\/8, -55, -5412.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 42\/8*(-1200)\/(-140)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (35844\/1276)\/((-1)\/(-11)). Let h(j) = 8*j**2 + 4*j - 2. Let s be h(5). Let n = t - s. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -154008 less than or equal to -154218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 - 5\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3484908\/143 or 24371?\nAnswer: 24371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 2*i + 1. Let p be k(2). Let n(b) = 35*b**2 - 3*b + 1. What is the tens digit of n(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6\/7, 44, -2, -1?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4059 - 4356 - 41)*(-6*k + 3*k + k).\nAnswer: 16912*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/8*(3 - -17). Let c = w - -4. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 4*s + 14*f + 7, -4*f = 12. Differentiate -2*j**3 - 79*j**4 - 107 + s*j**3 + 20 with respect to j.\nAnswer: -316*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -27*h**3 - h**2 + h - 1. What are the prime factors of w(-2)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**3 + 161 - 79 - 228*g - 82 + 228*g.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**2 - 12541*s**3 + 3*s + 7*s**2 + 2 + 4162*s**3 + 4180*s**3 + 4172*s**3 as l*s + h*s**3 + g*s**2 + f and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1.5 (b) -12 (c) -1\/3 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -10*m**2 + 272*m - 1736. Determine u(6).\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.5 - -4. Let u = 596.7 - 597. Sort u, 1, v, 1\/4 in descending order.\nAnswer: 1, 1\/4, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.107 - 0.093. Let v = -39 + 76. Put v, u, -1 in decreasing order.\nAnswer: v, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-390)\/(-12)*4572\/14859.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 231 - 233. What is the biggest value in 0.3, s, -10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/27*-3*-26. What is the greatest common divisor of k and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/292 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -81, -138, -193, -246, -297?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 26*x + 102*x + 812 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(78)\/((sqrt(66)*2 + sqrt(66))\/sqrt(11) - sqrt(6)))**2*3.\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 19. Let o be (-24333328 + -6)\/((-2)\/z). Let p be 1\/(-5) + o\/20. What is p rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*r + 111*r - f + 25 = 50*r + 24*r, -3*f - 5 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17119 - 17159. What is the biggest value in 15, t, 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + 3.2. Let t = 35.41 - 217.71. Let h = t + 182. Put h, 0.1, v, -3 in descending order.\nAnswer: v, 0.1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2097 - -2090. Sort 3, a, -74.\nAnswer: -74, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*b, 5*c + 14*b - 15*b = -36 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in 1028\/7, 3\/7, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 2*(-1)\/7. Let u = -0.4 + 0.7. Let l = -0.012 - -0.012. Which is the closest to l? (a) 3\/2 (b) u (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21022122 - -1002202220?\nAnswer: 1101002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148 by 74.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -700 - -1481. Suppose -c + m = 2*c - h, 2*c - 514 = -m. Does 37 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111110110111010 - -11?\nAnswer: 1000111110110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*w + 462*w + 518*w - 1450*w.\nAnswer: 49*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -64 - 1\/3*z**3 + 6*z - 3\/2*z**2. Calculate d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -750 + 755. Find the third derivative of 20*x**2 + 22*x**5 + q + x**2 - x**4 + 3*x**4 - 11*x**2 + 0*x**4 wrt x.\nAnswer: 1320*x**2 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.31663 litres in millilitres?\nAnswer: 69316.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48364244.\nAnswer: 2, 12091061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 6. What is the closest to -0.1 in 1, f, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 728642, 2913134, 6553954, 11651102?\nAnswer: 18204578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 21*u = 0. Let v be -3 - u - (-105)\/5. Do v and 18 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1085698820 to the nearest integer?\nAnswer: 32950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 2099*f**2 + 391*f + 241*f**2 + 2 - 527*f wrt f.\nAnswer: -3716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 7 (b) 83 (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-49) - (0 - 1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.6 - -7. Let h = z - 2.4. Which is the biggest value? (a) h (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 3 + -4 + (4 - -4). Suppose -x = h - 64 + t, -132 = -2*x + 4*h. What is the lowest common multiple of x and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004418 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 127174*g + 3688039. Give a(-29).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*y**4 + 280*y**3 + 604*y**2 + 336*y = 0. What is y?\nAnswer: -21, -4\/3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149.6 + -150. Let f = -59\/231 + -1\/33. Let n be (0 + -6)*((-172)\/(-40))\/(-43). What is the second biggest value in 0.1, j, f, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6) + -31 + (-8004)\/(-396) + 11\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 667*r**9\/504 - r**5\/30 + 13*r**3\/3 - 3*r**2 - 7. Find the third derivative of b(j) wrt j.\nAnswer: 80040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 268, 537, 806, 1075, 1344?\n\"Answer: 269*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112102 (base 3) to base 7.\nAnswer: -1064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by -5\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1164900 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 565*q + 1137*q = 569*q + 20, -27*t + 5*q = -88 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w + 2. Let y(q) = q**3 + 7*q**2 - 8*q + 3. Let i be y(-8). Let x be h(i). Let m = -2219 - x. Round m to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(72) + 3)**2.\nAnswer: 36*sqrt(2) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 13*u**2. Let p(a) = 12*a - 22*a - 39 + 19 + 12 + 14*a. What is t(p(n))?\nAnswer: 208*n**2 - 832*n + 832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -0*r + r - 138, 4*r + 123 = -5*g. Let k = g - -27. Let p(w) = -w + 113. Is p(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 939 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.25 (b) 0.88 (c) -4 (d) 3.8 (e) 2\/9 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.616 minus 5593404.4?\nAnswer: -5593405.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 * -309751\nAnswer: 3407261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24685 + -24106. Calculate the remainder when b is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j - 15. Let n be r(-2). Let m = -7 - -26. Suppose m = 2*x - 3*a, a - 3*a = 3*x + 4. Calculate the highest common divisor of x and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 23 + 0*u + 8*u)*(-7*u**3 + u - u).\nAnswer: -56*u**4 - 56*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**3 + 4*h**3 + 5*h**3.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-597)\/(-18) - (-1 - 1)\/(-12). Suppose -5*i + 3*v - r - 11 = 0, 0 = -v + 3. Let o(x) = 2*x - 10. Calculate o(i).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 4\/173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 2*i - 1. Let q be z(-1). Suppose -q*f + 16 - 4 = 0. Suppose 0 = 5*u + c - 2, 2*u - c - 17 = f*c. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -15*i + 14. Let p(r) = -5*r + 5. Suppose n + 3*m - 20 = 0, -5*n + 7*m - 12*m + 70 = 0. Calculate n*p(d) - 4*l(d).\nAnswer: 5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0504 + 0.1196. Let x = p - 0.04924. Round x to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3940063486 minus 0.06?\nAnswer: -3940063486.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y - 34. Let j be p(-14). Suppose -2*g = 18 - j. Let t = 2 + g. Solve 0 = -u + 6*u + t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 3*n**2 + 1. Let z(l) = l - 3. Let i be z(6). Let j be d(i). What are the prime factors of -6*j\/2 + 13?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8583246 divided by -1430541.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -406 (base 13) to base 9.\nAnswer: -837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*sqrt(200)*-1*5 + -1 + 1*-1*sqrt(72)*-2)**2.\nAnswer: 776*sqrt(2) + 301089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16776 and 5.\nAnswer: 83880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 11131040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + r - 2)*(-3*r**2 + 6*r**2 - 4*r**2) + r + 2 + r**2 - 82*r**3 + 195*r**3 - 93*r**3.\nAnswer: 19*r**3 + r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 246*d**2 + 1016*d.\nAnswer: -2*d*(d - 127)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9741452 + 1?\nAnswer: -9741451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (5 + -7 + 3 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 10 = -b + 147, -4*b + 533 = -5*y. Let a = 185 - b. What is the remainder when a is divided by (-33 - -3)*(-2)\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 12*g**4 - 40*g**3 + 20*g**2 + 16*g - 80. Let y(c) = c**4 - 2*c**3 - c**2 - c - 6. Let q(j) = -p(j) + 8*y(j). Find k such that q(k) = 0.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162988829 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -9, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5826 and 11694?\nAnswer: 11354874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -21 + p + 45*p**2 + 6 + 10. Let x be r(2). Suppose x = w - 154. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 31. Which is greater: w or 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 2*k = -1 - 1, -13 = 4*b + k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d**2 - 1. Let n be j(-1). Suppose -2*q = -2*k - n*q + 24, -2*k + 5*q + 59 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + c - 130 = -3*o, 5*o + 5*c - 155 = 0. Suppose -27*y = -o*y - 1032. Does y = -170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -3 + -5 + -2. Let l = i + 12. Suppose l*p - 253 = 4*h, 173 = -5*p + 2*h + 422. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*w + 22. Let a = 15 - w. What is the lowest common multiple of 30\/20*3*a and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.053 + 0.053. Let l = -2.7 - -3. Which is the biggest value? (a) 2\/31 (b) l (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 9*c**2 + 7*c. Let j(s) = s**3 + 5*s**2 + 3*s - 3. Let b be j(-3). Let p = -2 - b. What is the units digit of u(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 8. Let p be g(-5). Suppose 0 = 4*r - 28, 3*a - 48*r + 44*r = -64. Put a, p, 0 in decreasing order.\nAnswer: p, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3 = -3*o + z, -4*z = 2*o + 24. Solve g + 3 = -o*l + 8, -15 = 4*g + l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 7 = -q, -q + 30*a - 24*a = -47 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2))**(-18)\/(a**(-4)*a**(-2)) assuming a is positive.\nAnswer: a**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4. Let u(p) = p + 1. Let k(m) = -h(m) + 3*u(m). Let r be k(2). Solve 2*q - r*i = 2, 3*q + 6 = 4*i - i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/50)\/((-2)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*((-144221)\/35 + 6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12657 + -12657. Which is the closest to l? (a) 3\/7 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8430695 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dfdfkdf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -952*t - 11*d - 115 = -953*t, -5*t + 4*d + 65 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.76 - 3.16. Let m = 29 + -115\/4. What is the closest to m in 2\/25, -1\/5, o?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 26, 5, -36, -103, -202, -339, -520?\nAnswer: -751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 222269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/6*((-348)\/((-841)\/29))\/(52\/(-6))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 33*p**2 - 11*p + 11. Let u(t) = 17*t**2 - 6*t + 6. What is -6*k(o) + 11*u(o)?\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9 - (-427)\/21 - (-48)\/(-6). Find p, given that a*p - 2\/3*p**2 + 4 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4)*4\/1. Let s(m) = 2529*m - 5054*m - 88 + m**2 + 2528*m + 91. Let a(k) = k**2 + k + 1. What is h*s(p) - 6*a(p)?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -544524*v**5 + 5097*v**2 - 2*v - 4 wrt v.\nAnswer: -32671440*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-2)\/a))\/((a*a**(2\/11)*a*a)\/a))**0*((a\/(((a*a**(2\/3))\/a*a)\/a)*a*a)\/a)**(-2\/27)*(a**(-2\/5)\/a*a)**43 assuming a is positive.\nAnswer: a**(-7006\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/7 + 542*d\/7 + 1635\/7.\nAnswer: -(d - 545)*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21651165 and 137124045?\nAnswer: 411372135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}