diff --git "a/data/dm_maths/full_data_1/1146_11255.jsonl" "b/data/dm_maths/full_data_1/1146_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1146_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 0 = 5*t + 5*h - 20, 1 + 6 = -2*t + h. Put 0, -2, t, 2 in decreasing order.\nAnswer: 2, 0, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 + (-356)\/720. Let b(v) be the third derivative of 0 - 1\/108*v**4 + 0*v**3 - 1\/945*v**7 + 3*v**2 - r*v**6 + 0*v - 1\/90*v**5. Factor b(p).\nAnswer: -2*p*(p + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 - 2717 + 2717.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 14*f**3 + f**2 - 3*f + 1. Give h(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52349213 to the power of 1\/2, to the nearest integer?\nAnswer: 7235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v**3 + 38*v**3 - 1 + 1.\nAnswer: 50*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - d = 706789, d + 1088030 = 5*h + 204544. Suppose -5*x + 278733 = -h. Let o = -189086 + x. What is o rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*i**4 - 1 + 2*i**2 + 3*i + 8*i**4 - 23*i**4 + 3*i**3 + 6*i**4 to k*i**2 + f + r*i**3 + w*i**4 + q*i and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19467536*r**3*t**2 + 6939*r**3*t - 13*r**3 - 4*r*t**2 - 2*r*t - 12*r wrt t?\nAnswer: 38935072*r**3 - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -208*0.2\nAnswer: -41.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45003?\nAnswer: 3, 7, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s + 9 = f, 54 = 4*f - 2*s. Suppose 2*g - f = 6. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17880 plus 9?\nAnswer: -17871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 2. Let f be u(5). Let k(d) = -d**2 - 9*d + 1. What are the prime factors of k(f)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -28*n - 420. Let d be u(-15). Solve -5*x - 337 + 322 = d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16847 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.59 plus -14?\nAnswer: -14.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h + 0*h**2 - 12*h - h**2 to y*h + u + x*h**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*h + g - 3, -28 = -4*h - 4*g. Solve 2*i = -2*b - 8, 3*i = i + h*b + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 18. Calculate the remainder when 4 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48308.\nAnswer: 2, 13, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -3\/46, 1.6, -5 in decreasing order.\nAnswer: 1.6, -3\/46, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 52*h**4 - 11493*h**3 + 34333*h**2 - 23328*h + 436 = 0.\nAnswer: 1\/52, 1, 2, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2601617?\nAnswer: 2601617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 130.59.\nAnswer: -391.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*v + 2*h, -3*v = -4*v - 14*h + 17 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5055 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (1 + -7 + (16 + -2 - 14)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -9716 in ascending order.\nAnswer: -9716, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1325493, 5302001, 11929509, 21208011, 33137501, 47717973?\n\"Answer: -f**3 + 1325506*f**2 - 3*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89708078453 + 2.16.\nAnswer: -89708078450.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**6\/900 - j**5\/300 + j**3\/2 - 3*j. Let o(n) be the second derivative of r(n). Factor o(p).\nAnswer: 2*p*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 9*c - 21. Calculate o(-7).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 3, 48, 4, -12 in decreasing order.\nAnswer: 48, 4, 3, 2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3757, -14799, -33121, -58723, -91605, -131767, -179209?\n\"Answer: -3640*m**2 - 122*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49 minus 57564939974?\nAnswer: -57564939973.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p - 1. Let h be (4\/(-5))\/((-18)\/(-315))*(-3)\/(-6). Let m = -1 + 5. Let n(q) = -2 - 15*q - 14*q + 36*q - 13*q. Give h*b(a) + m*n(a).\nAnswer: -3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -233\/6, -5165?\nAnswer: -233\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((838953\/(-970))\/(-279))\/((-8)\/60)?\nAnswer: -93\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4376*z = 4378*z + 82, -3*z = -2*k - 61 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -0.01, 161, 64?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x - 2. Let j(w) = 81*w + 2. Determine -2*c(o) - j(o).\nAnswer: -93*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**8\/2880 - 23*y**5\/60 + 50*y**2. Let h(o) be the third derivative of q(o). Let j(k) = -k**2. Give j(h(f)).\nAnswer: -49*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49601207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 1, u: 1, x: 2}. Give prob of sequence bx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(3) + 1)*3 - (4 + sqrt(15)\/sqrt(5) - sqrt(3))) + ((sqrt(12)\/sqrt(2) + sqrt(6))*-4)\/(sqrt(2) + (sqrt(18)\/sqrt(3))\/sqrt(3)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/16 + (-6)\/(-8). Suppose 25 = 5*v, -4*g - 2 + 0 = s*v. What is the units digit of 1 - (-26 + g\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 2*y - 4. Let d be 8\/6*(-3)\/(-2). Let u = d + 4. Let z be u\/(-33) + 194\/(-22). Let f(a) = 5*a**2 - 8*a + 17. Give z*l(q) - 2*f(q).\nAnswer: -q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -3, 3\/7, 6.4, 0.5, -163, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1418696728?\nAnswer: 2, 317, 739, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**3\/6 - 2*l. Let o(a) be the first derivative of 2*a**3\/3 + 35. Determine o(v(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 570\/(-266)*560\/15?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 + 133.5. Let b = i - 155.1. What is b rounded to zero dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204332 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: Which is the nearest to 2\/5? (a) -5\/18 (b) -1 (c) -4 (d) -1\/9580 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 0*z + z + 2*z. Let p = 3 + -2. Let o(l) = -3*l + 1 - p. Determine c(o(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*-0.05505.\nAnswer: 0.049545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6304524133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a factor of 42662650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/4*1249 - -6?\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {u: 6, c: 4, l: 5}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36*k*u + 158*k + 2*u - 11595 wrt k?\nAnswer: 36*u + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, -4, 5\/4, -1\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-99) - 4\/(-22). Suppose -2*l + 45 = 5*r, p*l + 5*l + 4*r = 104. What is the second derivative of l*u - 6 - 2 - 11*u**2 + 8 wrt u?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 14*n + 0.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -118, -20604 in increasing order.\nAnswer: -20604, -118, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 6806.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45224327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b - 1. Suppose 364 = 6*u + u. Let a(q) = u*q - 1 - 1 - 30*q. What is -5*a(s) + 12*x(s)?\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*g - 162*g + 71*g - 2784 = 0 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116782, -233565, -350348, -467131, -583914?\nAnswer: -700697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -127\/6 (b) -0.06 (c) 0 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -11. Let u = 104 - 107. Sort 0, -2, u, y.\nAnswer: y, u, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 4:30 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 8:13 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + sqrt(98) - ((sqrt(16)\/sqrt(2) - sqrt(8))**2 - sqrt(16)\/sqrt(128)).\nAnswer: 1 + 29*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 3*n - 8. Let w be g(-5). Suppose w*s - 10 = 34. Let p be (s\/(-10))\/((-5)\/25). Solve -4*m = -4*j + m + p, -10 = -2*j + 4*m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 32*h + 37*h - 17, -3*l - 4*h + 18 = 0. Factor 1\/5*y**l + 0 + 2\/5*y.\nAnswer: y*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141454807 to the power of 1\/3, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 53, 101, 159, 233, 329, 453, 611, 809?\n\"Answer: b**3 - b**2 + 44*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0 + 0*t - 23\/3*t**3 + 11\/24*t**4 + 7*t**2. What is the hundreds digit of h(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 242477 divided by 153\nAnswer: 242477\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118 - 120. Let x be -1 + 2\/4 + a\/(-4). Solve x = -3*d + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/17)*b**(-2\/51) assuming b is positive.\nAnswer: b**(-14\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + sqrt(11) + sqrt(11))**2 - sqrt(11) - sqrt(11)*-2*4 - 2*((3*(-2 + sqrt(11)))**2 + 4).\nAnswer: -233 + 83*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 + -43. Suppose 24 = l + 4*f, -4*f + 85 = 4*l + o. Solve 6*t = 3*t + l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1206?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.81 to one dp.\nAnswer: 12.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11612 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 841 = -a - 1018, 5*a = -5. Sort w, -8, 4\/5 in decreasing order.\nAnswer: w, 4\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {w: 13, k: 2, c: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 1. Let i(v) = 3*v**2 - 6*v + 7. Let m(j) = i(j) - 4*q(j). Let a(h) = h**2 + 5*h - 2. Let r = 21 - 16. Determine r*m(x) + 6*a(x).\nAnswer: x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:17 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36, 74, 112, 150?\n\"Answer: 38*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrr. What is prob of sequence rr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**2*m*r*y - 2*l**2*m + 5*l**2*r**2 + l*r**2*y + 2*l*r*y - l - 2*m*r**2*y wrt m?\nAnswer: -l**2*r*y - 2*l**2 - 2*r**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**8\/10080 + l**7\/1890 - l**4\/3 + 4*l. Let y(b) be the third derivative of i(b). Factor y(j).\nAnswer: 2*j**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 61\/2 of a century?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 0 - 1\/60*y**5 + 14*y**2 + 0*y - 1\/24*y**4 - 2\/3*y**3. Calculate n(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13536 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -6*-3*sqrt(700))**2 + (4*(0 + sqrt(700)))**2.\nAnswer: 263900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 7. Let m be o(-7). Sort 1, 2, m.\nAnswer: m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + 2 + (sqrt(5) - (sqrt(125))**2) - (((sqrt(240)\/sqrt(6))\/sqrt(8))**2 - sqrt(5)).\nAnswer: -128 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -32.6 (b) 2\/13 (c) -1 (d) 0.049\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.9, 0, 0.3, -39\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**3\/5 - 17156*z**2\/5 - 4359684*z\/5 = 0.\nAnswer: -16898, -258, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/2 - 89007*l\/2 - 8401515.\nAnswer: -3*(l + 190)*(l + 29479)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*a - 1267 - 115, -5*o = -2*a + 1725. Let t = 9605\/28 + o. Is 0 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -4*h, 0 = 4*l + 3*h - 931. What is l rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7870)\/2361)\/(-2*-1*10\/(-72)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Suppose g*d - 98 - 18 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.4, -0.79, -1\/5 in decreasing order.\nAnswer: 0.4, -1\/5, -1\/4, -0.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - j - 10. Let b(h) = 48*h - 240. Let n be b(5). Give k(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4 = 2*p, -7805*j + 7810*j + 4*p = 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73291?\nAnswer: 73291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*s + 7 = 0, -q - q + 5*s - 7 = 0. Let b(j) = -5*j**3 - 2*j**2 + 1. Let m be b(-1). Solve o - 21 = -3*t - 2*o, 2*o = q*t - m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.425 times -6\nAnswer: -2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -32 * -5\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**7\/945 + s**6\/270 - s**5\/18 + 2*s**2 - 76*s. Determine l, given that a(l) = 0.\nAnswer: -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6310 - 36*t**3 - 140*t - 3*t - 17*t - 204*t**2 - 5910.\nAnswer: -4*(t - 1)*(3*t + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, 3, 16, 35, 60, 91, 128?\n\"Answer: 3*d**2 - 2*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 2*c + 13, 4*y - 16 = 11*c - 15*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 22214?\nAnswer: 244354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - -3 - (9\/3 - 0). Let l = -47 - -51. Let f be (-16)\/(-12) + l\/(-12). What is the greatest common divisor of o and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h. Let k(z) = z**2 - z. Let a(o) = -j(o) + 5*k(o). Let i(c) = -3*c. Calculate i(a(x)).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 230 = -2*s - 215, 18 = 4*s + 2*y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18942 by -1353.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*4*(sqrt(7) - sqrt(7)*2*6))*-5.\nAnswer: -660*sqrt(7) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -n + 7, n = -3*n - 2*d - 28 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.093, -129, -1, 0.1, 1\/2 in descending order.\nAnswer: 1\/2, 0.1, -0.093, -1, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 540, 803, 1080, 1377, 1700, 2055, 2448, 2885?\nAnswer: 3372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.008 + -43.83. Let j = 342 + -346.2. Let h = g + j. Which is the smallest value? (a) h (b) -2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 158, -1, 1, 2, 53, 7.\nAnswer: -32, -1, 1, 2, 7, 53, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-2*(-1 - 0)). Let q = 261 - 273. Let x be -2 + q*(-1)\/4. Sort 2, x, j, -5 in ascending order.\nAnswer: -5, j, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164274 * -1\nAnswer: -164274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 4*b**2 + 7*b - 4. What is the units digit of m(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9 + (-24564)\/795 + 22 and 62\/5.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13325*k + 13103*k = -14652 for k.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 105*h + 45. Give g(-1).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 829938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*q - 781 - 725 + 1456 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 16.000554. Round m to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371 - 180 = 29*y - 157 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (638 - 16*t - 638)*(1 - 3 + 1)*(-2*t + 2 - 2) to c + z*t**2 + i*t and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 660 and 960?\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 117*w**3 - 1122*w**2.\nAnswer: -3*w**2*(w - 22)*(w - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 14, -2\/7, -1\/389, 0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -11\/3. Let k(h) = -h - 11. Let n be k(-7). Which is the third smallest value? (a) n (b) o (c) -0.08 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = -16*h + 8. Let q be (2014\/(-39))\/(h\/(-228)) + -1. Let v = 1472 + q. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*h**3 + 6 - 2*h**2 - 12*h**3 + 0*h**2 to w*h**3 + d*h + p*h**2 + m and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16517\/(-4) - (-6)\/24. Let n = 13825 + p. Suppose 0 = -7*s + n - 2801. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*l + 21, -3*l - 8*n - 46 = -13. Solve -4*c - 7*h + 8*h = 11, -l*h + 7 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2.5, -4.1, -1, -3\/5, 1997?\nAnswer: 1997","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3848420549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -50*s**5\/13 - 68*s**4\/13 + 264*s**3\/13 - 28*s**2\/13 - 214*s\/13 + 96\/13 = 0.\nAnswer: -3, -1, 16\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.83 and 901.3.\nAnswer: 906.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 3. Let m(z) = z**2 - 2. Suppose 5 + 20 = 5*q. Suppose -q*b + 21 = 1. Suppose 24 - b = 5*i. What is i*r(l) - 7*m(l)?\nAnswer: l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-3)*3\/2*-405.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6129 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 14. Suppose 0*y - s*y = c - 14, -2*y - 2*c + 8 = 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -658*n**6 + 3*n**5 + n**3 + 17*n**2 - 617.\nAnswer: -78960*n**3 + 180*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-10)*50\/20. What is the third biggest value in 0.1, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/3 and -70\/10801611?\nAnswer: 10801611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k**3 - 776*k**2 - 12*k + 1098. What is u(97)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 16 = 7. Let u be -64 - (p + 4)*0. Let c be u\/(-10) - 28\/70. Solve 6 = 4*v - c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 168 = -0*t. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 395 = -115. Let r be (2 - 1)\/(-5*(-4)\/z). Factor -6*k**3 - 1 - 11*k**4 - 12*k + 14*k**4 + 1 - 21*k**r.\nAnswer: 3*k*(k - 4)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -3*l + 0 - 1\/10*l**6 + 0*l**3 + 1\/2*l**4 - 3\/2*l**2 + 0*l**5. Factor m(w).\nAnswer: -3*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94.7 + -95. Let u = 0.01 - 5.01. Which is the nearest to 1\/4? (a) -2\/5 (b) u (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 14. Let y = -29.42 - -28.42. What is the nearest to 4\/9 in -0.1, k, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132.537 - -0.163. Round i to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 53. Let f(i) = 2*i - 52. Let z(t) = 2*f(t) + 3*v(t). Let r be z(-13). Solve -g + r = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from {o: 1, y: 4, l: 6, v: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/(-616)*32\/(-174)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*d - 13. Suppose -2*x - 2*x + 24 = -2*y, y = -3*x + d. Let o(c) = -2*c + 6. Give o(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1160 + -5?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t - 5. Suppose -4*r + y = 12, 5*r + 3*y = -9 - 23. Let c be q(r). Let m be (-1)\/c - (-5)\/15. Solve m = -2*d - 2*d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*g - 5*x, -2*x - 17 = g - 24. Put g, 4, 0, 2 in decreasing order.\nAnswer: 4, 2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-2))\/((-9)\/(-24)). Is 8 a factor of (14\/(-3))\/((-4)\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322608 is divided by 850?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 318 - 316. Let p(u) = -u**2 - u + 7. Let a be p(0). Suppose s*q - 2 = 0, -a*q = -2*v - 5*q + 18. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**3\/6 + h**2\/2 + h. Let n be u(1). Let z(t) = 7*t + 2. Is 14 a factor of z(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**6\/120 + d**5\/15 + d**4\/24 - 2*d**3\/3 + 2*d**2. Let j be w(4). Let a = j - -6. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d**2 + d**2 - d**2)*((-d - d + 0*d)*(-1 + 5 - 2) + 3*d - 6*d + d) + (3*d + 15*d - 9*d)*(0*d**2 + 6*d**2 - 4*d**2).\nAnswer: 66*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {x: 4, y: 6, b: 1, s: 1, w: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.7 (b) 0.28 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58970 + -58977.99952. Let b = 6.3 - -1.7. Let y = t + b. Round y to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74090?\nAnswer: 2, 5, 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1908 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 2:00 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**5\/4 - 135*i**4\/2 + 1737*i**3\/4 + 174*i**2 - 3996*i + 3456 = 0?\nAnswer: -96, -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**5 + 74*t**4 - 22242*t**3 + 803662*t**2 - 6330704*t + 12353208 = 0.\nAnswer: -139, 3, 7, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 14*l = -40. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50399 is divided by 16794?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j - 649 = 8*j - 82*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -11641?\nAnswer: 11638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 1:09 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -272.14 + 278. Let q = 1.84 + d. Let m = q + -7.6999917. Round m to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from pgggxggxxp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188\/23 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*r - 6*r + 60 = 0, r - 2 = 0. Let z = 72 + h. What is the remainder when z is divided by (5\/(-2))\/((-45)\/252)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128236200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, h: 2, c: 5, a: 2}. Give prob of picking 1 h, 1 w, and 2 c.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194563, -194557, -194551, -194545, -194539?\nAnswer: -194533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -95 and -10078.\nAnswer: -10173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 9:44 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**3\/2 + 3*m**2 - 45*m. Let k(t) = 2 - 2*t - 4*t + 7*t. Give -11*k(w) + 4*p(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 21770?\nAnswer: 195930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**5\/20 - 5*w**4\/4 + 2*w**2 + 16*w - 25. Let q(n) be the first derivative of a(n). Let p be q(15). Solve 2*m + 4 = -p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 21 - 31 = 0. Let j be (-3)\/1 - (a + 8). Solve 6*u - j*u + 12 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4215 = -9929. What are the prime factors of w?\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7214\/15, -3\/4, -58, 2\/13, -3, 0.4?\nAnswer: -7214\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589304?\nAnswer: 2, 19, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 2*c - 11, 3 = c + 509*a - 508*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 9*h + 6. Let r(q) = -2*q**2 - 9*q - 4. What is 3*j(t) + 4*r(t)?\nAnswer: -2*t**2 - 9*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 3*v**2 + 5*v - 3. Let p be y(4). Suppose h - p = -n, -4*n - 4*h + 9 = n. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.698911 millilitres in litres?\nAnswer: 0.004698911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4027378?\nAnswer: 2, 953, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14626218 divided by 4875406\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 334\/8 + (-8)\/(-32). Let r = -12 + k. What is the remainder when 149 is divided by r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -30\/7*j**4 + 0 + 6\/7*j**3 + 0*j + 24\/7*j**5 + 0*j**2 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 65 = -18*p. Solve 0 = p*g - 15 - 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -57777*c. Let o(k) = -2*k**2 + 219*k. Give o(f(i)).\nAnswer: -6676363458*i**2 - 12653163*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 + 77*k**2 + 48*k - 493. Calculate the remainder when y(26) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3187, 6412, 9639, 12868, 16099?\n\"Answer: i**2 + 3222*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - -4*(sqrt(175) + sqrt(175) + 0) - (-1 + sqrt(175))*-2 - ((1 + -1*sqrt(175) - sqrt(175)) + 1))**2.\nAnswer: -520*sqrt(7) + 29591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y - 2*b = -29*y + 23, y = -b - 1. Sort 16, y, -3 in ascending order.\nAnswer: -3, y, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 + o + 4*o**2 - o**4 + 6*o**5 - 4*o**5 + o - o**4 - 4*o**3.\nAnswer: 2*(o - 1)**3*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48.9 + 49. What is the nearest to c in 1, 2\/11, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-46)\/161 - 128\/(-7). Suppose 16*g - n*g + 4 = 0. Solve -13 = -5*b + g*b + 4*v, 2*b - 5*v - 11 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8623 = 5*u + 2*k, -2*k - 9945 = -5*u - 1298. What is the remainder when u is divided by 351?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*l + h, h - 105 = -4*l - 109 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 106*o**2 + 2*o - 32. Let y(s) = 159*s**2 + 3*s - 51. Let k(i) = 8*v(i) - 5*y(i). Determine k(1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 6*v**2 + 6. Let j be g(6). Let i(w) = j*w - 2*w - 3*w. Suppose 0*r + 4*r = -12. Determine i(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4921 = -11*i - 15*o + 12*o, i - 437 = -2*o. Let t(g) = -g**3 - 4*g**2 - 3*g + 2. Let v be t(-3). Suppose -i + 66 = -m + v*a, 0 = a + 5. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 882 + -881.9999472. What is j rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -979, -4082, -9255, -16498, -25811, -37194?\nAnswer: -50647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4533351.326 to the nearest 10000.\nAnswer: 4530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 839525 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.4749 * -481\nAnswer: -228.4269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 23*p - 12. What is b(20)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2044 + 0.104.\nAnswer: -2043.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, 7, 57, 161, 337?\n\"Answer: 3*q**3 - 7*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4565\/14 + 324. Calculate the common denominator of 4 - (-3 + 13\/4) and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + -2*sqrt(1584))**2 - (1 + (sqrt(1584) + 1)**2 + -5).\nAnswer: -312*sqrt(11) + 4791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0742769 to three dps.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5198 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 14. Let d be f(-5). Suppose 4*o - 1200 = -0*b - b, 1176 = d*o - 5*b. What are the prime factors of o?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3483 + 9023. What is the remainder when y is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2136657880 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbdj when four letters picked without replacement from jqddbdjqbjdddbj.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5950.00000437 - -5950. Round u to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0*m - m)*(-1 + 3 + 0) - 5*m - 2*m + m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329369.\nAnswer: 71, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*z = 6, 7*z + 23 = 2*n + 12*z. What is the remainder when 178 is divided by -4*244\/(-16) - (-10 + n)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71527163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is a049 (base 12) in base 3?\nAnswer: 212210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 8*b + 2. Let r be j(2). Let g(n) = -4*n**2 - 3*n. Let t(c) = 4*c**2 + 3*c. What is r*t(d) - 7*g(d)?\nAnswer: 4*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 32, 99, 198, 329, 492, 687?\nAnswer: 914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**9\/756 + o**8\/210 - o**6\/45 + o**5\/30 - 7*o**3\/3 + 4. Let l(b) be the third derivative of a(b). Factor l(x).\nAnswer: -4*x*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4726 - -4802. Sort -0.2, -5, -3, c.\nAnswer: -5, -3, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3472381 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 8*a + 25200. Let l be (-2)\/9 + a\/(-450). Solve -18 = 4*t - l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 1. Let p = -8 + 4. Let m = a - p. What is the nearest to 2\/5 in m, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u - 3*u**2 + 23*u + 27*u - 73*u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1188 and 101376.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111164.6 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -4*c + 20, 48*c - 44*c - i - 45 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*k - 212 - 81 = 0, 0 = 5*y + k + 1420. Which is the closest to -2\/7? (a) 2 (b) -3 (c) y (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 13. Let t be (-4)\/6 - (-22)\/6. Suppose m - 19 = -5*u, m - 5 = t*u - 2. Let k be f(m). Let v(a) = -a**2 - 3*a + 3. Give v(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304 and 720792664.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -46113.93465 and 574.\nAnswer: -45539.93465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)\/y)**50\/(y**(2\/13))**(-27) assuming y is positive.\nAnswer: y**(-1896\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o + 2. Let a(f) = 158*f + 33. Let x(b) = 34*b + 7. Let z(k) = 3*a(k) - 14*x(k). Let p = 3 + 7. Suppose j = -j + p. Calculate j*z(s) - 3*m(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 - 62. Let j = a + -13. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 330, -89020, 13?\nAnswer: 330","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzmpp. Give prob of picking 1 p and 1 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.082 - -0.918. Let i be (-74)\/(-120) - (-3)\/(-4). Put i, h, -0.2, 4 in decreasing order.\nAnswer: h, 4, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14444 - 14427. Which is the closest to -1\/11? (a) -1\/3 (b) -1\/6 (c) n (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 9189.6 and 2.\nAnswer: 9191.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 2*j**3\/3 - 7. Let g(c) = -3*c. Give o(g(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8273674+-4.38\nAnswer: -8273678.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 3*u - 1. Suppose 11*z - 8 = 25. Let a be h(z). Let x be a + -2 + -2 + 17. What is the greatest common factor of x and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(8) - sqrt(6)\/(4*sqrt(3)).\nAnswer: 47*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 7 and 2167.09.\nAnswer: 2174.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.056, -9 in descending order.\nAnswer: 2, -0.056, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from cchcrrcr?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5073645623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 - -0.6. Let l = 0.308 + m. What is l rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajl when three letters picked without replacement from lajaalaaalllllllal?\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**5\/4 + 27*q**4\/4 - 633*q**3 - 2624*q**2 = 0.\nAnswer: -64, -4, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-14)*((-4)\/(-6))\/(1\/3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407521 is divided by 135804?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 + 4\/(-10). Suppose 4*q - 51 = -39. Suppose -q*k + 2*i + 108 = y, -4*k + 4*i + 42 = -102. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/i**(-13))\/i*i)\/(i*i**12*i*i)*i**1\/i**7)**35)**(3\/2) assuming i is positive.\nAnswer: i**(-315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, 2, -0.4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*((-15)\/(-1) + 624\/(-32))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3052446 (base 7) to base 6\nAnswer: -11501500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 15*d - 15. Let j be x(-16). Let n(l) = l**3 + 5*l**2 + 12*l**2 - 10*l**2 - j + 5*l - 2. Let v be ((-18)\/(-4))\/(18\/(-24)). Give n(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: c33 (base 14) to base 6\nAnswer: 15033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prp when three letters picked without replacement from rprrrprrrprpp.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(8\/(-12))*(1 - (-12)\/(-18)). Suppose 2*o + o = 2*v + 1, -5*o = -4*v + 1. Put v, 6, 3, f in decreasing order.\nAnswer: 6, v, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 7:59 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-6))\/(4\/192). Let l = 14 - c. Let u = 3 + l. Sort u, -4, 6 in descending order.\nAnswer: 6, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17536167*q*r**3 + 24603564*q wrt r.\nAnswer: 52608501*q*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -12 + 3*r + 6 - 4. What is b(-5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 401, 707, 1085, 1535, 2057?\nAnswer: 2651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 1, 259\/4, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7677 divided by 2559?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 16 = -4*y, 29 = 24*a - 15*a + 24*y + 110 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, -5, -445, 2, 356 in descending order.\nAnswer: 356, 9, 2, -1, -5, -445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 302 - 202303?\nAnswer: -202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 4*s**2 - 31*s - 179. Give n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -220.861 + 221. Round y to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-852)\/(-18)*15. Suppose 4*o - l = 3*b + 790, 4*b + 1127 = 3*o. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*x**2\/11 + 614694*x\/11 + 614688\/11 = 0. Calculate x.\nAnswer: -102448, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/12*(-46)\/(-230).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -28.0000055. Round a to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 440\/32)\/(-1 + 14\/32).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(49)\/(sqrt(175) + 3*sqrt(175)) - (sqrt(28) + -5 + sqrt(112) + 0)**2).\nAnswer: -3603*sqrt(7)\/10 + 1662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2.1 (b) -16.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 16) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 745 + 2749. What is the second derivative of -5*d + 88*d**4 + 3494*d**2 - l*d**2 - 15 wrt d?\nAnswer: 1056*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -70 in 9\/11, 4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + z**2 + z - 1. Let u(j) = 6*j**3 - 2*j**2 - 4*j + 7. Let m(d) = 5*i(d) + u(d). Let h be m(-2). Solve 0*x - 4 = -h*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1608699538 and 13?\nAnswer: 12.8391300462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1620 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 9 - 0) + -3 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8517091 or 8517105?\nAnswer: 8517105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - -1 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 71*n + 1. Let f(w) = 71*w + 1. Let k(i) = -2*f(i) + 3*r(i). Let o be k(1). What is the units digit of ((-6)\/(-9))\/(2\/o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9962, 19942, 29924, 39908?\n\"Answer: k**2 + 9977*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1864*f**4 - 4*f**2 - f + 9929?\nAnswer: -7456*f**3 - 8*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**3 + 2*b*o**3*t - 3*b*o*t - 4*o**3 - 15*t wrt b?\nAnswer: 3*b**2 + 2*o**3*t - 3*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/3, 1\/5, -3, 11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 3. Let t(v) be the second derivative of v**5\/10 + 7*v**4\/4 - 5*v**3\/3 + 6*v**2 + 105*v. Let z be t(-11). What is the nearest to 1\/2 in z, i, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 - 2729*n**5 - 1654*n**5 + 1397*n**5 - 3 + 1814*n wrt n.\nAnswer: -59720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000037694 to seven decimal places.\nAnswer: -0.0000377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/3)\/(m*(m\/(m*m*m\/(m*m**(2\/29))))\/m)*(m**(-3\/7))**(-19))**(-1\/22) assuming m is positive.\nAnswer: m**(-2357\/6699)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.23 - -2.21967. What is b rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 16.09094 years?\nAnswer: 0.1609094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81389 - -117468. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25642 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggdgd. Give prob of sequence gggd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -78 + w**4 - 72 + 149 + 2*w + w**2 - 3*w**3 as o*w**4 + y + d*w**3 + k*w + g*w**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**4\/4 + 2*m**3 - m**2\/2 + 8*m - 4. Let r be y(6). Solve -h - r = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w - 3*w**4 - 8*w)*(w + 3*w + w) + 2*w**4 - 2*w**4 + w**5.\nAnswer: -14*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/16653 and -43\/32187870?\nAnswer: 225315090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 14*g**2 - 22*g - 23. What is a(11)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77251 - 39394. List the prime factors of t.\nAnswer: 3, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6006*c - 12764*c + 4886*c + (-3 + 3 - 2)*(c + 0*c + 0*c) - 3*c + c + c + 4*c - 2*c - 4*c.\nAnswer: -1877*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/28*-4)\/(48\/5208)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -20*l + 60. Suppose -5*t = 3*q - 2*q - 14705, 0 = 5*t + l*q - 14700. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z - 1. Suppose 4*s + c = 4*c - 25, 2*s + 18 = -4*c. List the prime factors of h(s).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 54, 23, -18?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen halves of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2) - 3\/(-6). Let u = -1 + 3. Sort u, 1, q.\nAnswer: q, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1452714712?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 49 = 5*o - 26, -2*o + 30 = f. Solve -o*y - 12 = -13*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-245)\/350*8\/42.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b - 63*b + 89 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 139090079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1061888*q**2 + 1061893*q**2 - 209*q**3 - 2123781*q**2.\nAnswer: -209*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -1\/490*r**7 + 0 + 0*r**3 + 0*r - 1\/280*r**6 + 1\/140*r**5 - 3*r**2 + 1\/56*r**4. Solve w(s) = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33440 = 63*d - 19*d. What is the remainder when d is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22026 - 11401. Is n a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 3277.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/38 and 39\/700.\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291457 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*i - 3*i**5 - 14 + 10\/3*i**3 + 140*i**2 - 126*i**4 = 0. What is i?\nAnswer: -42, -1, -1\/3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 14*b + 115. Let w be m(16). Is 338 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 4*i**2 - 1. Let a be k(4). Calculate the least common multiple of 5 and (a\/1)\/(2\/(-16)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(1300)*1*-3)**2 + 4*(-4*(sqrt(1300) + -1))**2 + 0).\nAnswer: -569790 + 8040*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -1. Let s = -356 + 169. Let j = s - -188. Let r(q) = 3*q**3 - q**2 - q + 5. What is j*r(y) + 5*c(y)?\nAnswer: 3*y**3 - y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 12, 350.4, 7, 0.1, -0.2, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*5*33\/(-55). Let a be 4\/o*(-12)\/(-56). Put 5, -5, a, 3 in ascending order.\nAnswer: -5, a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145176, 290355, 435534, 580713, 725892, 871071?\nAnswer: 1016250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 702*w**3 + 50*w**2 - 3*w - 6. Let r(c) = -2105*c**3 - 148*c**2 + 8*c + 16. Let q(s) = 8*h(s) + 3*r(s). Find the third derivative of q(y) wrt y.\nAnswer: -4194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*m - 87*m + 40 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 - 17911*d - 837393. What is y(-47)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/21)\/(-26 - -24).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3)*w\/w**6)\/(w**6\/w*w**(-5)) assuming w is positive.\nAnswer: w**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 12. Suppose 2*d + 24 = 4*d. Suppose -3*s = 4*b - 29, d = 5*b - 2*s - 7. What is the highest common factor of b and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*(sqrt(153) - (sqrt(153) - (6*(sqrt(153) - (sqrt(153)*2 + sqrt(153))) + sqrt(153) + sqrt(153))))\/sqrt(9) + 0)**2.\nAnswer: 27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2044003188 to the nearest one hundred thousand.\nAnswer: -2044000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 224\/35 - (-68)\/(-20) - (-8)\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 48?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 5:23 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22476008391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/16226 and 19\/2.\nAnswer: 16226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from vxivxiaaaxamiieav?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(99) + 1)**2*-4 + -1 + ((2 + sqrt(99))**2 + 5 - -1*(sqrt(99) + 1)))*-3.\nAnswer: 99*sqrt(11) + 4440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.252 - -0.063. Let h = o + -0.115. Which is the closest to h? (a) -0.5 (b) 1\/5 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g - 402*g**2 + 3 + g**3 - 2706*g**4 + 215*g**2 + 208*g**2 wrt g.\nAnswer: -64944*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttvttwvvttvv. What is prob of sequence vtt?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 937.8891l to millilitres.\nAnswer: 937889.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 265348900 to the nearest one million.\nAnswer: 265000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150*d*l**5 + 4272*d*l**3 - 19365005*d*l**2 wrt l?\nAnswer: -9000*d*l**2 + 25632*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34.4999737 + -34.5. What is u rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/3 (b) 5 (c) 1.4 (d) -118 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*a - 434*a - 260*a = 536*a - 31*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102452.319 rounded to the nearest one thousand?\nAnswer: 102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6 + 2*o - 7*o**2 + 2*o**3 - 6*o**3 + 4*o. Suppose -b + 6 = -2*b. Let z(i) = 3*i**3 + 6*i**2 - 5*i + 5. Let n = -349 - -344. What is b*z(a) + n*h(a)?\nAnswer: 2*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1\/4 (b) 50 (c) 2\/9 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18623459 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 318000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -366 + 512. Suppose n - 2*g - o = 0, 4*n + g + 236 = 802. What are the prime factors of n?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49852736*q*t**2 - 57*q*t + 30*t - 1209 wrt t?\nAnswer: 99705472*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -1\/8, 0.4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -276102 = -277884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36836*s = -36786*s - 650 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/874 and ((-54)\/(-8) + -11)*(-2)\/(-8).\nAnswer: 6992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6593964 divided by -549497\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 2*z + 0*z)*(-146 + 17*z + 146).\nAnswer: -34*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18213*z + 61976*z + 1008168*z.\nAnswer: 1088357*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395.242 weeks to nanoseconds.\nAnswer: 239042361600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 28*m**2. Let h(t) = -8*t**2. Determine n(h(q)).\nAnswer: 1792*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8605716 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0623 - -0.0623. Let i = 0.3 - 0.1. Which is the closest to y? (a) 2\/5 (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3748\/(-11244) + (-77)\/39?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5038*h - 556*h**5 - 1045*h - 1022*h**5 wrt h.\nAnswer: -31560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*c + 12. Suppose -14*o + 4572 = -c*o. Suppose 3*s + s - o = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2*c**2 + 4)*(6*c - 4*c + 0*c) - 3*c + 3*c - c**3 + 38 - 38 - 12*c**3 + (4*c**2 + 3*c**2 - 5*c**2)*(0*c + c - 2*c))*(0*c + 4*c + 2*c).\nAnswer: -66*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 4*q - 7*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.1, -0.8, -78, -1 in descending order.\nAnswer: -0.1, -2\/3, -0.8, -1, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -447088020 divided by 14902934\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 7)\/(-4)*160\/(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 35*i**2 - 85*i + 771. Let y be n(-33). Is y > 5757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 2*i + 5*s + 50, 3*i - 4*s = 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 526468 or 526466?\nAnswer: 526468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*f - 1217 - 704 = 0, -3*f = -2*x + 760. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 + 14 = p, 3*p + 5*v = 81. Let z(r) = -2*r**3 + 33*r**2 + 19*r - 37. Determine z(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8596 by -4.\nAnswer: 2149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*o - 21 = 5, -4*f + 5*o - 31 = 0. Let l be -6*f\/(-8) - -7. Suppose -l*c + 65 = -5*w, 7*c - 5*w = 2*c + 80. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-15) + (-59)\/(-3). Suppose -17*n + h*n = 6. Solve 0 = n*s + 9 + 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3730 is divided by 197?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 65 - 70561?\nAnswer: -704c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.4.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -8\/5*v - 8\/5 - 2\/5*v**2 = 0. What is v?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + c + 2. Let j be o(0). Suppose 3*h + 28 = j*n + h, 2*h = -2*n + 20. Let m be -6*(-9 - -4) + 0. What is the highest common divisor of n and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21023279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -542\/1443 + 12\/37. Let j = 857 - 22279\/26. Let d = j - o. Put 1\/4, d, 0 in decreasing order.\nAnswer: 1\/4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 163800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -4. Suppose -4*d + 0*d = -60. Let v = d - w. Calculate the highest common factor of v and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1\/14 (c) 1\/3 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3 - (-16)\/12. Suppose 2*x = p*h - 5*h + 30, 3*x = 4*h + 79. Let r be x\/28 + 6\/(-8). Solve 4*z = 2*c + 20, 4 = z - r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5165702473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -142213*b**2*l**2 + 513*b*l + 12912947*l**2 + 6 with respect to b.\nAnswer: -284426*b*l**2 + 513*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 769 - 475. What is the remainder when 122 is divided by (-1372)\/g*(-10 + 1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-14) + (-106173)\/(-63). Let z = t + -698. Suppose -5*u = -2*u - z. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 9:15 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*z = 38, 4*s = -5*z - 12 + 11. Solve 10*g - s = 3*k + 5*g, 2*k - 12 = -2*g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 6 = 6*d. Solve 0 = g - d*g + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u = -3*u + 672. Suppose 481*h + u = 489*h. Factor 1\/6*y**3 - 1\/6*y**h + 0 - 1\/3*y.\nAnswer: y*(y - 2)*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21768, 21751, 21738, 21729, 21724, 21723?\n\"Answer: 2*l**2 - 23*l + 21789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 25820 (base 10) to base 4\nAnswer: 12103130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (0 + sqrt(1584))*6 - 3*(sqrt(1584) + sqrt(1584) + 1) - 6*(-4 + sqrt(1584)*2*-5))**2.\nAnswer: 24696*sqrt(11) + 3803625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/3*1\/(-2). Let v = -3256.8 + 3262.8. Which is the nearest to v? (a) -2 (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 314.687 + -127.66. Let g = t - 187. Round g to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 65\/10*6*2. Suppose v = -0*w + w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(-12)))\/(q*q**(3\/5)*q*q))\/((q\/q**15)\/q**(-11)))**(1\/19) assuming q is positive.\nAnswer: q**(-63\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/45)\/((-42)\/(-140)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**2 - 6*b - 5. Let w be v(-2). Sort 1, w, -1.\nAnswer: w, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 771*o - 69925. Give p(105).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpko when four letters picked without replacement from qknnolpkl?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -323 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 227, 0, -5 in descending order.\nAnswer: 227, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1404*k + 26641. Determine o(19).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -549775193, -549775191, -549775189?\nAnswer: -549775187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epeg when four letters picked without replacement from gpgggpegee.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3073*k + 97 = 3077*k, -2*i = 3*k + 76 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/((-21075)\/78680*8\/9)?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71820610 divided by 4.\nAnswer: 35910305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1201382, -2402771, -3604164, -4805561?\n\"Answer: -2*g**2 - 1201383*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -30. Suppose -7*b + 3*b = h. Suppose b = -9*y - 2*y + 902. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 229 = 3*g, -g + 2*g = i + 77. Let b = g - -26. Suppose -68 = -4*d - 4*z, z = -4*d + b - 24. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 8. Suppose 2*w + 3*w = 30. Let m be h(w). Suppose 2*z + 4 = 0, -3*z + 4*z = -m*b - 2. Solve b*l - 1 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -134?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 22 + 6. Let z = -14 - u. Suppose -3*l + 3*y + 33 = 0, 2*l = y - z*y + 18. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 0.4 (c) -4 (d) 0.5 (e) 4597 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61863 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -2, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 170*-20\nAnswer: -3400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -1030323002?\nAnswer: -1030323013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38811 + 38844.962. Round u to one dp.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3948828.\nAnswer: 2, 3, 13, 17, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -795690 or -795694?\nAnswer: -795690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.07765.\nAnswer: 0.1553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 533 + -517. Calculate the remainder when 28 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2. Let f be 33 + (13 - 14)\/((-2)\/8). Let u(q) = -f*q - 32*q + 55*q. What is u(v(c))?\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -367 - -366.1064. Let t = -0.9 - g. Round t to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.507 and 0.124?\nAnswer: 0.062868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 4*k - 4*s - 25 - 49, -s = 30 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -533\/5 + 106. Let m = -108.59 - -105.59. Which is the closest to 0? (a) i (b) m (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248139.\nAnswer: 3, 79, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42798 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 9 = 0, -14 + 0 = 5*a - 3*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1847 greater than or equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.3 - 5. Let w = m - 0.2. Let d = -2.128 - -2.158. Sort d, w, -4.\nAnswer: -4, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 83 - 49 = -62 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -381 (b) -2 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(100)*-4)\/sqrt(4))\/(sqrt(30)\/(sqrt(6) + 3*sqrt(42)\/sqrt(7) - sqrt(6))).\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78042 divided by 6.\nAnswer: 13007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*y + 157 - 1062*y - 97 - 58.\nAnswer: -763*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2809*l**2\/4 + 742*l - 196 = 0. What is l?\nAnswer: 28\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02085217017 to 4 dps.\nAnswer: -0.0209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-350)\/(-28) + -11)\/((-6)\/72*1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - 0.2. Let w = 6.72 - 6.02. Put y, 0.1, w in increasing order.\nAnswer: 0.1, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12 + (786\/(-114) - 5). Put 1\/4, 1\/2, w, -4 in decreasing order.\nAnswer: 1\/2, 1\/4, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 1, t: 1, v: 2}. What is prob of picking 1 a and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16 (b) -2\/17 (c) -23.739 (d) 3\/7 (e) 75\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 74. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4254*h**2 + 8*h - 4251*h**2 - 693 - 10*h + (-h**2 + 0*h**2 + 3*h**2)*(-1 + 2 + 1) - 2*h**2 - h**2 + 2*h**2 as w + v*h + g*h**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3087 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120171390 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10574262 (base 8) to base 4\nAnswer: 20233202302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*t*y**4 - 21*t*y**3 + 2*t*z + 2*y**2*z - z + 1449 wrt y?\nAnswer: -12*t*y**3 - 63*t*y**2 + 4*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*d = 98, 25 = -4*w + 5*d + 77. Calculate the highest common divisor of 36 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -13. Let z = j - 5. List the prime factors of z - (-2 + 2 + -12).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189715?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from {r: 1, m: 2, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*m = 36*m + 288. Suppose -4*b + m - 24 = 0. Solve -7*a = 3*z - b*a - 10, -z + 3*a + 8 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 14*j**2 - 6*j - 2. Let f be a(7). What is the greatest common factor of 23 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 9:57 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1959 is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -10*y**3 - 22*y**2 - 12. Let x(m) = -4*m**2 + 12*m + 2. Let w(d) = -d**3 + 3*d**2 - 16*d - 4. Let z(t) = 3*w(t) + 4*x(t). What is -5*v(c) + 16*z(c)?\nAnswer: 2*c**3 - 2*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 9:52 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016379 rounded to 4 decimal places?\nAnswer: -0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1552*i = -1510*i - 7 + 847 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -2, 4, 2\/17, -92\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a + 2*a + a + (-2 + 5 - 5)*(-4*a + 2*a + a) + 2379 - 2379 + 94*a - 2*a - 1 + 1 + (3 + 0 - 5)*(0*a - 3*a + 2*a) + 2*a + 0*a + 0*a.\nAnswer: 95*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 10*z - 14. Let n be q(-8). Let g = -19 + n. Find the second derivative of -12*f**4 + 0*f + g*f**4 + 13*f wrt f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -20, -46, -82?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 14 - 9 - 1 + 5*k + 38. Calculate the least common multiple of f(-4) and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Let q(o) be the third derivative of 5*o**4\/24 + o**3\/2 + o**2 - 2*o. Let m be q(0). Put -3, 1, m, p in increasing order.\nAnswer: -3, p, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 + 4 - 12*b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 2*s + 2. Let a(m) = 4*m**2 - 11*m + 11. Suppose -3*v = 3*o - 6, 0 = v + 4*o + 14 - 28. What is v*a(f) + 11*g(f)?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2*(-56)\/32*2\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/20*(5368 + -5363)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least -1804\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 2*n. Let v(s) = s**3 - 26*s**2 - 12*s - 3. Determine -5*j(d) + v(d).\nAnswer: d**3 - 31*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**12*m**18 assuming m is positive.\nAnswer: m**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 + 7332*r + 34 - 7332*r in the form v*r**2 + b*r + y and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/45*(-5)\/(-14). Let r = -1.1 - -0.8. Let z = r + 0.1. Which is the nearest to 1? (a) z (b) l (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10993992*w**2 + 6*w - 195170?\nAnswer: 21987984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.42 - 24.42. Let m = -445 + 425. Let x = v - m. What is the nearest to 0.2 in -2, x, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 18997?\nAnswer: 19004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4638890537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*10*-1. Suppose 2*g = -g + 2*i - 16, 0 = g + v*i - 6. Let a be ((-2)\/(-6))\/(g\/(-108)). What is the greatest common factor of a and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 413*w - 180. What are the prime factors of i(4)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*g = -2, -2*g - 23 - 10 = -5*z. What is the lowest common multiple of 6 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 517 + -514 + (38 - (2 + -5)) + -4?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*-3085.342\nAnswer: 4319.4788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5228031619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 + (-21103)\/(-4)*4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 4*v**2 + 3*v - 6. Calculate k(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*(-16)\/(-36).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(3 + (-1408)\/(-220)*2\/(-4)). Solve o*r + 17*r = -102 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 848 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147588*u + 295176*u - 362*u**3 - 147588*u.\nAnswer: -362*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68534432 and 4.\nAnswer: 68534432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 - 74. Let s = 19 - k. What are the prime factors of s - -35 - (-6)\/(-2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 780?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 101 = 67. What is the remainder when 124 is divided by p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + o = 1290, 72*n - 2604 = 68*n + 4*o. Which is greater: 650 or n?\nAnswer: 650","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -924, -1681, -2438?\nAnswer: -3195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 5:54 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 261734707 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 0. Suppose -44 = -81*f + 37. Which is the nearest to f? (a) 0 (b) q (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.790225909 and 3?\nAnswer: 7.790225909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 6. Calculate t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3329*c + 37. What is the hundreds digit of u(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12362 and 58278.\nAnswer: 407946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112094163 is divided by 80.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 5*y - 1. Let q be n(-4). Let p = -11 + 10. Suppose -h = 3*x + 16, 3*x + 4 = 5*h + 12. Put q, h, p in increasing order.\nAnswer: h, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18375596?\nAnswer: 2, 503, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 9270 and 9271 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -24. Let g be 2 + -1 + (-3)\/2. Which is the closest to l? (a) 0.4 (b) 3\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 61*c - 1. Let j be z(5). Suppose f + 5*w - 23 = 0, 0 = -4*f + 6*w - 4*w + 4. Suppose -f*s = 31 - j. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 168*x + 24. Let o(u) = -15*u - 12. Let r be o(-1). What are the prime factors of c(r)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 21*v**2. Let b(a) be the second derivative of -a**6\/360 + 16*a**3\/3 + 7*a. Let w(p) be the second derivative of b(p). Determine g(w(i)).\nAnswer: 21*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 554 and 13019.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + s + 45 = 0, 2710*f = 2705*f - 4*s + 75 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 549995993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*g + 102 = 271*g - 116*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -26.7. Let a = -3 - m. Let d = -0.376 + 0.266. What is the second biggest value in a, d, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/237684 and 53\/3010200.\nAnswer: 2055966600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 4:58 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -14133\/17249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17884676574.00000097 - -17884676651. Let i = -0.9 + -76.1. Let t = a + i. What is t rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.019*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19019\/(-399))\/(13\/(-3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 5*g = 176. Suppose -2*n - 39 = 2*m + 3*m, 2*m - 2*n = -10. Let v = m - g. What is the remainder when 15 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -p + 19, 4 - 35 = -2*n + 5*p. Suppose -t = 5*f + n + 7, 3*t = 2*f - 7. Let q(v) = 5*v**3 + 4*v**2. Let z(h) = h**3 + h**2. Calculate f*z(m) + q(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*o + 21, -w - 5 = 4*o - 8*o. Let t(p) = -w*p**2 + 3 + 10*p**2 - 3. Let d(v) = -v. Give t(d(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, a: 17}. Give prob of picking 2 a and 1 f.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, j: 2, k: 8}. Give prob of picking 2 j and 1 k.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 0 - 0 - 2) + (2571 - 2575).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-63)*3)\/(455\/(-14742)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -58*s**3 + 35*s**2 - 49*s + 10. Let n(p) = 9*p**3 - 6*p**2 + 8*p - 2. Let w(y) = -13*n(y) - 2*u(y). What is w(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 10. Suppose -3*b = -3*v - 291, b = -v + p*v + 82. What are the prime factors of b?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4 = -6*v, 0 = -3*z - 2*v + 8. Let i(t) = 26*t - 46*t - z + 114*t + 64*t. Let n be i(3). Round n to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 9*p**2 - 7*p + 64. Let n be y(9). Is 14 a factor of (4 - (-1 + n)) + 1340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4077085099 to the nearest integer?\nAnswer: 63852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 + 2*m**3 + 8*m**3 + 3*m**3.\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) 2\/17 (b) -28 (c) 0.4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 18450*s + 1408792.\nAnswer: 2*(s + 77)*(s + 9148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppbcpcbjppcpcppq. Give prob of picking 1 p and 1 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1213000 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + j - 6*j + 15, -22 = -p + 2*j. Suppose -4*z = 4*a - p, -2*z - z = -a + 5. Solve -g - 24 = 5*k, z*g - g - 19 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143 (base 5) to base 8\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + k = 1, -5*q = k + k + 9. What are the prime factors of (0\/q - 1)*-35?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -325 + 974\/3. Which is the nearest to -2? (a) 1 (b) -47 (c) 0.2 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2 + 158*a = 0.\nAnswer: 0, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 187\/51 + 782\/51. Solve 2*c = 5*y + 54 - j, 0 = -2*y + 2*c - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -76*w**2 - w. Let d be g(1). Is d less than -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 10:11 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53801 or -53805?\nAnswer: -53805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 10:10 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/10 and 43\/292?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 0*w**2 + 31 - 2*w**2 - 31. Let v(a) = -13*a**2 + 1. Determine c(v(l)).\nAnswer: -338*l**4 + 52*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -9*k - 34. Does 5 divide o(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15925603*d**2\/8 - 47776811*d\/8 + 3\/4.\nAnswer: (d - 3)*(15925603*d - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1111 + -113210?\nAnswer: -112033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(2*sqrt(10)) - (1 + (sqrt(6)\/sqrt(3))**2).\nAnswer: -3 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 7:18 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136641*s**2 - 136641*s**2 - 8*s**3 + 5 - 5.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 970.4584l to millilitres.\nAnswer: 970458.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 20. Let v(p) = -3 + 1 - 2. Let j(a) = 4*g(a) - 20*v(a). Let s(l) = -4*l**2. Calculate s(j(o)).\nAnswer: -64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kstypyx. Give prob of picking 1 s and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 273, -6 in decreasing order.\nAnswer: 273, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198 and 660.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -79, -75, -69, -61, -51, -39?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2118 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**3 - b**2. Let j be w(-1). Solve 0 = -2*f + 4*r - 1 - 13, 0 = -f - j*r + 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13044.01 minus 0.5?\nAnswer: -13044.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 - -0.3. Let g = -269850 + 269742. Which is the nearest to g? (a) q (b) -3\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38071*f*l*w - 1150*f*l - 2*f - 2*l wrt w?\nAnswer: -38071*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y - 5 + 5 - 4*y + 4*y - y - y + 2 - 2 + 4*y - 2*y - 3*y + (2*y + y - 2*y)*(2 - 1 - 3) + 1 - 1 - 2*y - 2*y + 0*y + 3*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 180224.2 millennia in years?\nAnswer: 180224200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226\/6 + (-11)\/(-33)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*r + 4 = 0, 3*u + 2*r = -6 + 2. Suppose -17*y = -u*y - 1700. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12000 (base 5) to base 6\nAnswer: -4015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46212627?\nAnswer: 3, 89, 173081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 625*i**2 - 20*i - 13. Let c be q(-2). Does c = 2527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1.7, -114\/7, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 10*j - 1. Let b be (6*140\/(-42))\/(0 + -4). What is l(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 11 + 4. Suppose -4*f - 3*l + 72 = 0, -3*l - 94 = -3*f - 40. Solve -t*u - 3 = -f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148193534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u - 7. Let m(w) = -2*w + 3. Let b(g) = -7*m(g) - 3*x(g). Let r(s) = -16*s - 13*s + 4*s. Calculate r(b(f)).\nAnswer: -50*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*q + 105, -127 = 3*m + 2*q - 13. Let g be (-2)\/4 + (-28)\/m + 0. Is 16 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 10 = 4*h. Suppose 2*i - 6*i - 16 = 0. What are the prime factors of h*i\/((-24)\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 - -4.93. Let x = 87 - 523\/6. What is the closest to 0 in f, -0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 9:42 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 722373\/308192 + -3\/19262. Find the common denominator of -79\/176 and h.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w**3 + 3. Let p(x) = 15*x**3 + 5. Let z(a) = 3*p(a) - 5*v(a). Factor z(l).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36\/11 - -346\/99. Let y = -6.27 + 6.57. Which is the closest to -0.1? (a) y (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u - 1. Let a be k(-2). Suppose 2*c + 4 = 0, -c + 11 = 3*w + c. Suppose -w*h - 25 = l, -h - 5 = -4*l + 9*l. Solve -5 + l = -a*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327649962 is divided by 17591.\nAnswer: 17587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-2) - -2)*34. Suppose -2*v + 4*x + 50 = 0, 3*v - 6*v = 2*x - 43. What is the greatest common divisor of h and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = 23*n + 26*n - 24*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 4*p**2 - 2*p - 5. Let x(g) be the second derivative of g**5\/10 - 11*g**4\/12 + 5*g**3\/6 + 7*g**2 - 29*g. What is -11*b(l) - 4*x(l)?\nAnswer: 3*l**3 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 = -5*v + 42. Let r = 1301 + -1195. Let c = r - v. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 13*s - 520. Let v = s - -1059. Calculate the remainder when v is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6529485*d**4 - d**2 + d - 16550756?\nAnswer: -26117940*d**3 - 2*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z + 1. Let b(w) = 39 + w - 39. Suppose 195 = -5*f - n, -2*n + 0*n + 10 = 0. Let u be ((-6)\/5)\/((-12)\/f). Determine u*b(c) + o(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12718378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 33581 + -3?\nAnswer: 3357c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**5\/20 + g**4\/2 + 3*g**3\/2 + 111*g**2\/2 - 129*g + 1. Let h be d(-7). Is -2\/1283 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10312 - -10310. Let b = -2 - -1. What is the second biggest value in b, -0.2, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 7) to base 15.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, 2\/2927, 5 in descending order.\nAnswer: 5, 4, 0.4, 2\/2927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1da1 (base 16) to base 13.\nAnswer: -35b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 937559 and 755?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*g = k - 1, -2*k = 3*g. Suppose 6*b = k*b. Let m = b - -12. Calculate the remainder when 45 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 + (1 - -13) - (11 + -22)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/140*1*4\/6*-4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5 + 25736*x**4 + 744530*x**3 - 1694980*x**2 - 2978152*x + 6368144 = 0. Calculate x.\nAnswer: -12839, -31, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 t when three letters picked without replacement from {x: 3, t: 6, b: 2, m: 2}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4.37, 45, 35 in ascending order.\nAnswer: 1, 4.37, 35, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 12. Is 3 a factor of q(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, s: 2}. What is prob of sequence ssf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -21*v**2 - 35*v - 6. Let y(o) = -25*o**2 - 31*o - 7. What is 5*y(k) - 6*z(k)?\nAnswer: k**2 + 55*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3020 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3678577 to the power of 1\/2, to the nearest integer?\nAnswer: 1918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a + 1. Let g(t) = -1. Calculate -b(r) + 4*g(r).\nAnswer: -4*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*-5*5*(2*sqrt(1900))**2*-4.\nAnswer: 3039998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Suppose g = 3*y - 2*y - 10. Suppose -6*d + d = -10. What is the smallest common multiple of y and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633.434 not equal to 310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110112143 - 1011?\nAnswer: -110113204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -9*y - 5. Let w(h) = -8*h - 4. Let a(o) = 4*i(o) - 5*w(o). Let d(t) = -2*t + 4. Let m(j) = 3*j - 3. Let g(q) = -3*d(q) - 4*m(q). What is a(g(n))?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**3 + 216*g**2 - 980*g = 0.\nAnswer: 0, 5, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272906434.\nAnswer: 2, 53, 2574589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, h: 3}. What is prob of picking 2 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 215 + -194.7. Let i = 19 - j. Let g = i - -0.3. What is the closest to -2\/5 in -5\/4, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5439092 and -5439080 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -10111101011000101110011?\nAnswer: -10111101011000101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -301 * -0.5\nAnswer: 150.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 71 = -5*t + 34, t - q = 21. Suppose 8*k - 37 + t = 0. Solve k*u = -2*u - c - 13, 4*u - 3*c = -25 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 37328 - 37328.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 418 and 492879.\nAnswer: 10843338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - ((sqrt(76) + -2)*4)**2) + (sqrt(76) + 5 + sqrt(76)*1)**2)*-5 + -3 + 1.\nAnswer: -850*sqrt(19) + 4753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (4 - (3 + -3)) - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*-5*5)\/(sqrt(12)*5*1))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 5. Suppose -438*l - 18 = -440*l. Suppose -j*c = -l*c - 256. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -551962*b**5 - 172525*b**2 + 2*b wrt b.\nAnswer: -33117720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 + 100063?\nAnswer: 100156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407082009?\nAnswer: 577, 2438617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-3 + -2) - (-16 + 6).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 18532?\nAnswer: 148256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019627 rounded to 4 dps?\nAnswer: 0.0196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + 1 + -7 + 0. Let a(q) be the first derivative of -q**3\/3 + 3*q - 1. What is a(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*d + 16*d + 9*d + 31*d + 1271*d**3.\nAnswer: 1271*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-7) - 2)\/(2\/(-14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**6\/6 + 5*p**5\/12 + 5*p**4\/24 + 165*p**2. Let n(d) = 0. Calculate d.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -222, -370, -406, -228?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**3\/3 - 877*u. Let h(j) = j**2 - j. Let f(p) = -18*p**2 - 3*p. Let n(c) = f(c) - 2*h(c). Determine n(d(q)).\nAnswer: -80*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 - -160 - (2 + 2 + -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -1941, -3945, -6155, -8571, -11193?\nAnswer: -14021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/7)*a*(a\/((a*a*a*a\/(a**(2\/13)\/a*a))\/a))\/a)**(-3\/14)\/((a**(-2\/3)\/a)\/(a\/(a\/(a*a**8*a)))*a*a**(-4)*a*a*a**(-2\/29)*a*a) assuming a is positive.\nAnswer: a**(1237157\/110838)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/(-60))\/(-8)*(-4)\/12.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 2:36 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z - 2 - 2 - 8*z - 2. Let f be q(3). Let d = f + 24. Solve 3 - 12 = d*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 5*x. Let i be j(-6). Put 1, i, 0, -4 in increasing order.\nAnswer: -4, 0, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -17*q - 101. Give i(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 554772 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: Let s(b) = -2*b + 26. Let n be s(13). Are -2\/13 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 + 10*z**3 - 52*z**3 - 52*z**2 + 35*z**3.\nAnswer: -7*z**3 - 49*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7*3*(-3)\/9. Let i(c) = -3*c - 4*c**2 + 7 + 5*c**2 + c**2 - 2*c. What is the units digit of i(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 divided by 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10907 + -7144. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/4)\/((((w\/(w*w**(4\/3)))\/w*w)\/w)\/w*w))\/(w\/(w\/(w*w\/(w\/(w*w*w**(-2\/9))))*w)*((w*w**5*w)\/w*w)\/w))**(-8) assuming w is positive.\nAnswer: w**(374\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfffftftffff. Give prob of sequence ft.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2841*w + 3590*w + 3644*w - 10076*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15544860 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 times 4?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -10. Suppose a = -x*v + 2*a + 49, -3*v + 61 = a. Suppose -5*p - 15 = 0, -3*p + 6*p = -n + v. What is the greatest common factor of 31 and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22*(-7)\/21)\/(-4*(-1)\/(-6))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32124 by 1915.\nAnswer: -32124\/1915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 0*u - 5*u)*(3 + 19 - 5).\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/497877 and -127\/12?\nAnswer: 1991508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*c + 50, -s + 3*s = -3*c + 45. Solve -16*k = -s*k - 84 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -206, -218, -234, -254, -278, -306?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 479488 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4248 rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-3 + 0 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2667 - -16003\/6. Let m(l) be the third derivative of 0 - 23*l**2 - 1\/90*l**5 + f*l**4 + 0*l + 0*l**3. Factor m(j).\nAnswer: -2*j*(j - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 366. What are the prime factors of n?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27350.97 + -27351. What is the third biggest value in 0, 3.99, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 3:30 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllllulllluul. Give prob of picking 1 l and 3 u.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136892543?\nAnswer: 79, 1732817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -28*f**2 + 28*f - 50. Determine g(4).\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 4*j + 1. Let g be w(0). Suppose 0 = 9*o - 17 - g. Solve -2*q + 12 = o*x + 4, 5*x + 20 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**2. Let k(f) = -15 + 15 - 6 + 5*f - 2. What is p(k(y))?\nAnswer: -100*y**2 + 320*y - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y - 13. Let s be l(4). Suppose -2*i - 2*q + 8 = 0, 2*i - 4*q = i + s. Let m = i - 7. Solve m = o + o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 2*i = 3*j + 3, -5*i = -2*j - 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n - 3. Let d = -1 + 7. What is the least common multiple of ((-12)\/d)\/(2\/(-4)) and w(2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**3 - 4*w**2 - 163*w + 4. Let g(s) = -6*s**3 - 5*s**2 - 161*s + 5. Calculate -4*g(p) + 5*u(p).\nAnswer: -p**3 - 171*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**5\/12 - 5*u**4\/12 - 20*u**3\/3 + 5*u**2 + 5*u. Determine p, given that g(p) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110201211022 (base 4) in base 16?\nAnswer: 52194a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-437 - -410) + 51\/2 + 446\/292\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 7 = d - 5, 4*y - 16 = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434*r + 637*r + 2885*r.\nAnswer: 3956*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1111327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*k + 42 = 0, 2*k - 29 = -3*a - 3*k. Suppose -a*z + 3*z = -30. Let o be ((-3)\/2)\/(2\/(-4)). Solve 6 = -o*r, -5*s + 3*s - z = r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 174*l - 8540. Determine s(-35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 7 + 2 + -2 + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 <= 523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 20. Let y(j) = 10. Let z(o) = 2*s(o) - 5*y(o). Let b be z(8). Suppose l + b = 9. Sort -3, 8, l in increasing order.\nAnswer: -3, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -4*l - 5*n - 66, 4*l - 140 = n. What is the remainder when 104 is divided by l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - f**2 - 2)*(70*f**2 - 67*f**2 - 194*f + 51*f)*(7 - 2 - 4) to w*f + l*f**2 + t + g*f**3 + u*f**4 and give g.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4434 (base 10) to base 16.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 24 - 9. Suppose h*j - j - 54 = 0. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15701, -30949, -45743, -60083, -73969, -87401?\nAnswer: -100379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45495 is divided by 219?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o. Let f(c) = 2*c - 10. Determine f(u) + 3*x(u).\nAnswer: -u - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + -2*sqrt(19))**2 + ((6*sqrt(171)\/sqrt(3))\/sqrt(3))**2 + 0.\nAnswer: -4*sqrt(19) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1243 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -64*o**6\/3 + 9*o**3 - 57. What is the third derivative of b(y) wrt y?\nAnswer: -7680*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 297.498 + -0.498. Let n = z - 296.99334. What is n rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -i - 0*i - 34, -4*d + 2*i - 40 = 0. Let p = d - -21. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iafifiiaiiifiiiiii. Give prob of picking 4 i.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37645*n**5 - 2*n**4 - 2*n**3*z**2 + 8*n**2*z**2 - 322*n**2*z - 3*n**2 - 7*n*z**2 wrt n?\nAnswer: 2258700*n**2 - 48*n - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4386, -4397, -4408, -4419, -4430, -4441?\nAnswer: -4452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.249925 and -0.02.\nAnswer: -0.0449985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in 2\/5, -4, 10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5450303 to the power of 1\/2, to the nearest integer?\nAnswer: 2335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 256.86 to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1117*j**3 + 790*j**2?\nAnswer: 6702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.85423 rounded to one dp?\nAnswer: 63.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -49629*q + 1439254. Determine s(29).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**4 + 2*w**3 - 2*w**3 + (-2*w**4 + 0*w**4 + 0*w**4)*(0 - 2 + 4) in the form p*w**3 + k*w**2 + n*w + t*w**4 + v and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2*(0 + 0). Let l(i) = -i**2 - 5*i - 6. Let u be l(-2). Solve n + u - 2 = d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7173 minus -0.6?\nAnswer: -7172.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, h: 1, q: 1, d: 4, w: 5, t: 2}. What is prob of picking 1 t and 1 q?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a kilogram in grams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 398277*q**4 - 819*q**2 - 305?\nAnswer: 9558648*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + x**2 + 4*x**2)*(404435*x - 404435*x + 414*x**3).\nAnswer: 414*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgm when three letters picked without replacement from gwghmw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 466701 and 22083.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - k - 4*k - 4*k.\nAnswer: -9*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54093205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*m - 13983 = 3468 - 4700 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -248 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68267?\nAnswer: 19, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3)*(-2)\/(-4). Let f = -1019 + 1016. What is the second biggest value in -0.5, a, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.427*-0.0242.\nAnswer: -0.0103334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 2, y: 7}. Give prob of picking 2 a.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 5, -7 in descending order.\nAnswer: 5, -2, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 1786?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 + (-61 - -8) - -43?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 3*z**2 + 3*z + 27. Let q(c) = -2*c**3 - 2*c**2 + 2*c + 26. What is 3*q(h) - 2*t(h)?\nAnswer: -4*h**3 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059 a factor of 36860544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/131 - -445\/1703. Let b = 5 + -4. Is f at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -1, -5 in decreasing order.\nAnswer: 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 162*f**4\/7 - 2736*f**3\/7 + 2336*f**2\/7 - 512*f\/7 = 0. Calculate f.\nAnswer: 0, 4\/9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 510866 and 3938.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -19. Let o = -9 - d. Suppose -o*h - 144000 = -5*h. What is h rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1802 and 71184406?\nAnswer: 1802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 + (-15)\/99. Suppose -4*j - 10 = j. Let d = 3 + j. Which is smaller: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8, -36, -84, -152, -240, -348?\n\"Answer: -10*k**2 + 2*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + 3*c**2 - 5*c**2 + (0 - 2*c + 0)*(2*c + c - 2*c) + (2 - 3*c - 2)*(-28*c + 55 - 55).\nAnswer: 80*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -214?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 156158.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1113743mm?\nAnswer: 111.3743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 40*a**2 + 435*a + 60. Let v be h(-16). What is the highest common divisor of v and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 10*d**2 + 4. Calculate the common denominator of n(10) and 19\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*g**4 + 0*g - 1\/5*g**2 + 0 + 2\/5*g**3.\nAnswer: -g**2*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15532640?\nAnswer: 2, 5, 193, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 10:22 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61)\/(2867\/(-47))*((-6)\/(-7))\/2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1595070 and 638028.\nAnswer: 3190140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**6\/360 - x**5\/15 + x**4\/24 + 5*x**3 + 24. Let s(j) be the third derivative of y(j). Determine s(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**5 + i**5 - 4*i**5 - 242*i**5 - 12730*i**4 + 12730*i**4 + i**5 + 4 - 4 + (0*i - i - i)*(-5*i**4 + 3*i**4 + i**4).\nAnswer: -237*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2283.\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v = -18*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + j = 267 + 36, 0 = b + 2*j + 315. Let h = 322 + b. What is the least common multiple of 35 and h?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.15 + -0.05. Let r = -0.063 - 0.337. Let z be (90\/(-105))\/((-5)\/((-70)\/(-16))). Sort z, r, v, 1\/6 in ascending order.\nAnswer: r, v, 1\/6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -16*c**2 + 2*c - 10. Let u be t(5). Round u to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 22 - 10 = 0. Let f(u) = -15*u + n*u - 2*u + 13*u. Let b(p) = 229*p**2. Give f(b(v)).\nAnswer: -458*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -14a48?\nAnswer: -14a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/1749 in -3\/7, -4, -3\/23?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1893 + -1893.237. Round j to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:07 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.006 + 0.194. Let v = -2.4 - -0.4. Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 378*t**2 - 234*t**2 + 592*t**2 to j + o*t**2 + r*t and give o.\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 341.550409 - -4.\nAnswer: 345.550409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-40)\/52))\/((-18)\/(-36))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1383 = -5*d - 4*t, 825 = 3*d + 3*t. Suppose -w - 3*r = -r - 277, w - d = -3*r. Does 22 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3090 + 2613 + 2961 + 456 + 8241)*(3*a + a**5 - 3*a).\nAnswer: 17361*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6377 + -6382. Let p = 47 + 1. Let w be (y + 8)\/(-1 - (-39)\/p). Is w smaller than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1291 + 1971. Calculate the greatest common factor of 255 and r.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 141, 309, 469, 615, 741, 841, 909, 939?\n\"Answer: -b**3 + 2*b**2 + 169*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -95. List the prime factors of o.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 104?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 - 8. Let i(b) = -182*b**2 - 3 + 180*b**2 + 0 + 3. Calculate s(i(o)).\nAnswer: 16*o**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4333\/3 - 1445. Let s = 13 + -25. Let t = -7 - s. Sort t, h, 0.2, -3\/4.\nAnswer: -3\/4, h, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*l - 3. Let w(h) = -h - 3. Calculate the remainder when (-1 - l) + 10 + 6\/(-2) is divided by w(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1124510066410 - 2*w**3 + 1124510066410.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + (20\/(-2) - 1). Let l(m) = -7*m + 2*m + 0 - 2. What is l(n)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*a + 233*a = -2. Solve a*t - 3*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 1:29 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31982 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = -0*p - 7*p. Solve 5*n = -5*h - 30, 5*h + n = -p*n - 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*b - b. Let d be 10*(-2)\/882*(-89064)\/(-1056). Let f = d - -1\/294. Is f >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4067.4 + 4067. Let f = 6 + -4. Sort k, f, 0.1, -8.\nAnswer: -8, k, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 3*c**2 - 3*c**2)*(2*c - c + c)*(8 + 41*c - 9 + 2*c).\nAnswer: -86*c**4 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.069491 and -0.5.\nAnswer: -0.569491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 30*q**3.\nAnswer: -30*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1261.\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 4.5\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 1805?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6)*-3*1. Suppose 0 = 18*m - 16*m - 2. Let i = -8692 + 8697. Put m, l, i, 2 in increasing order.\nAnswer: l, m, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3455 + 3455.2. Let s = -1279\/7 + 183. Put 5, s, -0.5, n in decreasing order.\nAnswer: 5, s, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = x + 4*n + 4, -n = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 6. Let d be q(8). Let h be d - (3 + 5*-2). Suppose -2*z = -15 + 3. Solve -x + z = h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-6)\/h))**(2\/13) assuming h is positive.\nAnswer: h**(16\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 856 and 17762.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -13) + -7 + 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1165420 and 485?\nAnswer: 113045740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.06 (b) 3 (c) 0.248396\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -5 (c) -0.3 (d) 0.3 (e) 193161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.000042577 to 7 dps.\nAnswer: 0.0000426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 174016.2 and -9?\nAnswer: -1566145.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(36\/(-523)) + 1\/6. Let x = -63 - g. Suppose -u + 15 = -x. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**6)**(-5\/3)\/((f\/(f\/f**(5\/8)*f))\/(f\/(f**(-8)\/f))) assuming f is positive.\nAnswer: f**(449\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14187887 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/114291 + 21143839\/457164. Let 20 + 5\/4*r**4 + 105\/2*r + 15*r**3 + h*r**2 = 0. Calculate r.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.52, 0.3, -2, -1\/4, 5.7626?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104.26 + 104.46. What is the nearest to j in -5, 532, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8832 is divided by 569?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2.9. Let n = -8.103 + -0.097. Let p = n + 8. What is the second biggest value in p, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.945 + -45. Let z = y + 0.0550019. Round z to seven dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-12))\/((-5)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61079 is divided by 3220?\nAnswer: 3119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.44797 to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*i + 20, 5*i - 6 = 4*i + 3*p. Find the common denominator of -5*i*(-3)\/12 and -49\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14122 - -2?\nAnswer: 14124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -32*r. Let a be n(-2). Suppose 4*m - 4*o = -0*o + a, -2*m - 3*o + 27 = 0. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 4*c + 3*w, -2*w - 10 + 122 = 2*c. Suppose 0 = -10*l + 7*l + c. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001207 to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14503 - -15024. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -13*k + 133. Let s(t) = 14*t**2 + 3*t - 3. Let h(b) = -38*b**2 - 8*b + 8. Let m(o) = -3*h(o) - 8*s(o). Give d(m(g)).\nAnswer: -26*g**2 + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d - 30. Suppose 3*h + 2*s = 2*h - 7, 3*h + 37 = 2*s. Let g be m(h). Solve 0 = 3*u + g*i + 27, 4*i = 4*u + 2*i + 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/(-12))\/((-3)\/(-9)). Suppose 0 = t*v - 10*v - 5. Let o = 3 - 1. Which is the nearest to v? (a) o (b) -0.1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194.697760354 - 20?\nAnswer: -214.697760354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/11 - 91917772*z\/11 - 1056109601180498\/11.\nAnswer: -2*(z + 22979443)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r + 50. Let q(t) = -t**3 + 10*t**2 - 10*t + 12. Let k be q(9). Suppose -k*c = 17 - 77. Calculate the greatest common divisor of c and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -20\/1913, -58, 1?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*z**4 + 3047*a*z**3 - 5*a*z**2 - 4*a - 36*z**2 wrt z?\nAnswer: -24*a*z + 18282*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3558 divided by 2.\nAnswer: -1779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 18*t - 48. Let o be k(3). Put o, 0.8, 1, 2\/5 in increasing order.\nAnswer: o, 2\/5, 0.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 4443.\nAnswer: 4\/4443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 3*i + 9 + 12, -8 = 4*z - 2*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*s**3 - 12*s + 19*s**3 + 3*s wrt s?\nAnswer: 54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -15.2. Let j = -3 + 3.1. Which is greater: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzdz when four letters picked without replacement from zzqzzdzzzzzzzzzzzzzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-152 + 248 + 407 + (1 + 2 - 1)*(-2 + 2 - 1) + 0 + 0 - 1)*(-4*z - 8*z + 4*z) as b + j*z and give j.\nAnswer: -4000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56395, 56401, 56407?\nAnswer: 56413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + 24*j**2 + 2. Let h be w(12). Suppose 3\/4*o**4 + 1\/4*o**5 - 1\/4 + 1\/2*o**3 - 1\/2*o**h - 3\/4*o = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.0561\nAnswer: 0.01683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 27*m - 2. Let v(u) = 4725*u - 351. Determine -1053*s(q) + 6*v(q).\nAnswer: -81*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 184*s + 26082. Calculate i(-142).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 6*n + 5. Let y be i(5). Suppose 0 = 5*q - y, 0*q = -5*c - 3*q + 30. Factor -t**2 + 4*t**3 + 0*t**3 - 2*t**c - t**3.\nAnswer: t**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41 and 95\/1734.\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7094.\nAnswer: 2, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -235.901 - -236. Let g = 0.098947 - q. Round g to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 86 - 86)*(2*t - t - 6*t) - t + t + t**3 - 4*t**3 + 3*t**3 + 0*t**3 + (-2*t + t - t)*(2*t**2 + 0*t + 0*t).\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*c = -30*c + 4, -24*o = -21*o + 4*c - 8 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -378*s - 5004. Is 10 a factor of n(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -75*a - 5*a + 37*a - 2*a**2 - 3 + 46*a. Determine o(-5).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36.7*-0.092\nAnswer: -3.3764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 7. Let f = 2 + v. What is the second derivative of -2*u**3 - u**3 - 3*u**3 + f*u + 3*u**3 wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/24 and -77\/128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16650, 17547, 19042, 21135?\nAnswer: 23826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -85*l**2 - l + 2. Let w be j(1). Let z = 85 + w. Suppose -5*q = 2*f + 1 + 1, 2*f - 2 = -3*q. Calculate the remainder when f is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*j - 123 = -4*a + 5*a - 150*j - 22, 2*a - 104 = -2*j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4928*l**3 - 19706*l**2 - 19688*l + 24 = 0. Calculate l.\nAnswer: -2, 3\/2464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -292\/7 - -42. Let s = 32.8 + -29.8. Put -2\/9, s, 0.12, z in descending order.\nAnswer: s, z, 0.12, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*v + 1952*v**2 - 12*v**3 - 1959*v**2 + 14*v**3 + 2*v**3 - 3*v**3 - v**3 + (1 - 2*v - 1)*(-v**2 + 0*v**2 + 2*v**2).\nAnswer: -2*v**3 - 7*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**6\/180 + z**5\/15 - 25*z**4\/36 + 2*z**3 + 182*z**2. Determine h, given that y(h) = 0.\nAnswer: -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145\/2434 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - v - 1. Let r be (-4 - -3)\/(9\/45). Suppose -3 = 3*w - 0. Let i(m) = 2*m**3 - m**2 + m**2 + 9*m - 5*m**2 - 4*m + 5. Determine r*x(z) + w*i(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 23*w**3 - 1595. Let d(y) = 71*y. Determine d(s(v)).\nAnswer: 4899*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6 = 4*o, -3*x - 4*o = -1 - 1. Let c(z) = z**3 - 12*z**2 - 13*z + 10. Let h be c(13). Let l = h + x. Calculate the least common multiple of 6 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 + f**2 - 8*f**3 - 14*f + 7*f + 9*f to m + l*f + d*f**4 + b*f**2 + h*f**3 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 4, -2, -4 in ascending order.\nAnswer: -4, -2, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -3, -79, 3\/7, -5\/12, -4, 0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2. Let m(g) = -9*g. Let v(u) = -8*u. Let x(a) = -5*m(a) + 6*v(a). What is z(x(t))?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w + 1264 - 7400 = 239*w + 6352 for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 267 and 30?\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 10 = 2*p, 3*p - 10 = -2*d - 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 - d**2 - 6*d - 3. Let a(c) = -c**3 + c**2 - c. Let y(z) = 4*a(z) - g(z). Is y(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8080, -16117, -24152, -32185?\nAnswer: -40216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + k - 2*v = 1, 0 = -v - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145*o**5 + 27*o**4 - o**3 - 9142*o**2?\nAnswer: 8700*o**2 + 648*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 7*k - 120. Suppose 4*s - 5*c - k = 0, 0 = 5*s - 3*c - 23 - 7. What is the remainder when 16 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 + 56*u\/5 - 51.\nAnswer: -(u - 51)*(u - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1501 + 702. Let s = 1356 + z. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 2 + 2)\/1. Let c(a) be the second derivative of a**5\/20 - a**4\/6 + a**3\/3 + a**2 - a. Is c(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -124, -762, -1834, -3346, -5304, -7714?\n\"Answer: -d**3 - 211*d**2 + 2*d + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2901*w**2 - 3084*w**2 + 18*w + 6093*w**2 - 19*w.\nAnswer: 108*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 69 = 3*z - 6*b, z + 22 = 2*b. Let h be (90\/35)\/((-6)\/z). Solve -3*d - h = -0*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9703897 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44483334.\nAnswer: 2, 3, 7, 23, 46049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = 2*v. Let q be (-40)\/15*(-1)\/v. Let f = 3158.2 + -3158. Sort 0, -3, f, q in decreasing order.\nAnswer: f, 0, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 11*z**2 - 6. Let l(q) = 67*q**2 - 34. Let x(c) = -12*l(c) + 68*y(c). Let w(j) = 11*j - 1. Determine w(x(m)).\nAnswer: -616*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55.6 + -70. Let d = 14.6626 + -0.2626. Let w = d + u. What is the fourth smallest value in -1\/2, w, 3, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*l - 19. Calculate the smallest common multiple of l and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 divided by 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4945991392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101001001000111 (base 2) to base 10.\nAnswer: 86599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1485 + -2554. Let x = h + 2281. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 603008784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -859*s + 863*s + 36, 0 = -5*s - d + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000236199 rounded to seven decimal places?\nAnswer: -0.0000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -5*f. Suppose 0 = 4*t + t + 4*l + 195, -5*t + 4*l = 195. Is (-3 + t)*(-1)\/f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 1:03 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**3 - 13*a**2 + 11*a + 7. What is x(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 326 (base 7) to base 11\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -141*x - 704. Let y be k(-5). Which is bigger: -1\/4322 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 2*g + 2*g)*(2 + 2 - 3) + (3 + 1 - 3)*(-4*g + g + 2*g) + g + g - 5*g - g + 0*g - g + (g - 2*g - g)*(-434 - 430 + 796).\nAnswer: 133*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 6*j**2 + 3*j - 1. Calculate m(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*b - 13*b = -755 + 70. Solve -51*q - 168 = b*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-2) - (2 - 2). Suppose 9*s + n - 13 = 0. Solve -5*m - 2*q - q = -s, 0 = -3*m - 4*q + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/2))**49\/(l**(-1\/5)\/l**(-4\/3)))**(1\/16) assuming l is positive.\nAnswer: l**(701\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1504934.\nAnswer: 2, 113, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 17 = 4*t - c, -4*c - 20 = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in -2, 770, -4\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 65.915 and -593.\nAnswer: -527.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, y: 1, c: 4}. Give prob of picking 2 c, 1 y, and 1 j.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8593 + -9163.2. Round a to the nearest 10.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 335, 0.2, -4 in increasing order.\nAnswer: -4, 0.2, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029 rounded to five dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2187) - 3*sqrt(2187)*2) + (sqrt(297) + sqrt(297)*2 + sqrt(297))\/sqrt(11) + sqrt(162)\/(sqrt(6)*2))**2.\nAnswer: 177147\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - j + 3*j**5 + j + 4*j**2 + (-1 - j**5 + 1)*(0 + 13 + 0).\nAnswer: -10*j**5 + 4*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 807847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/435 and -89\/3480.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/4 and -9 - -10 - (-1154)\/(-996).\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11501586*n**3 - 6212129*n**2?\nAnswer: 69009516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*x + z - 37 = 326*x, 3*x + 7*z = -3*z + 327 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 425*l**3 - 215*l**2 wrt l.\nAnswer: 2550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.51 + 3.49. What is the closest to d in 1\/3, -1\/6, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-126))\/((-7)\/(49\/(-6)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**2 - 11*q - 47. Calculate f(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 7*b + 2. Let u be a(-8). Let j be 1*(-1*u - -1). Let q be (-2)\/6*j\/(-6). What is the closest to 0 in -4, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 1\/12*m**4 + 0 + m + m**2 - 1\/6*m**3. What is q(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -1 + 2*r**2 - 3 - 2*r - 1. Is p(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2. Let v(q) = 16*q**2 - 16. What is d(v(n))?\nAnswer: -256*n**4 + 512*n**2 - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 84\/(-12) - (6 - 1326). Let o = 2532 - s. What are the prime factors of o?\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 9:04 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7188689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 889*g**2 + 862*g**2 - 265*g**2 - 430*g**2.\nAnswer: 1056*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4386478 - -143?\nAnswer: -4386335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3583 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89914.96 nanograms in milligrams?\nAnswer: 0.08991496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 5 - 5)*(-i + 2 - 2 + (-2*i + 2*i - 2*i)*(-2 + 5 - 2)).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millennium in centuries?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**5 + 187*j**4 + 3*j**3 - 559*j**2 - 374*j = 0.\nAnswer: -1, 0, 2, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397081 > 1397085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196ee (base 16) to base 12.\nAnswer: 50352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -669, -5360, -18105, -42930, -83861, -144924, -230145?\n\"Answer: -671*f**3 - f**2 + 9*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26433 and 297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 33*d**2 + 8*d - 13. Let b(k) be the second derivative of -2*k**4\/3 - k**3\/3 + 3*k**2\/2 - 300*k. What is 9*b(z) + 2*x(z)?\nAnswer: -6*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2055 (base 6) in base 5?\nAnswer: -3332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*i - 3, -5*i - q - 3 = -7*i. Let b(d) = d. Determine b(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 0.4 (c) -2 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0236747 rounded to four dps?\nAnswer: 0.0237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-6 - 1) + 5 - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19550 and 414?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18067, -36144, -54207, -72250, -90267, -108252, -126199, -144102?\nAnswer: -161955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104219 - 104324 = -21*x. Solve -3*h + 42 = -5*q, 0 = 173*h - 172*h + x*q + 26 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by -12068\nAnswer: 12\/3017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147 - 146. Let g = -0.1 - -1.1. Do t and g have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 38, 126, 298, 596, 1062, 1738, 2666, 3888?\n\"Answer: 7*x**3 + 39*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 464937461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92082.\nAnswer: 2, 3, 103, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*r**4*w**3 - 13419*r**4 - 155772*w**3 with respect to r.\nAnswer: 20*r**3*w**3 - 53676*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.696867 centuries to decades.\nAnswer: 76.96867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197433343, -394866688, -592300033, -789733378, -987166723, -1184600068?\nAnswer: -1382033413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1838 (b) -0.2 (c) 0.02 (d) -0.3 (e) 1\/2 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-3))\/((-5)\/15). Let o(q) = q + 12. Let m be o(x). Suppose 2540 = -m*d + 6*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**7\/210 - l**6\/360 + l**4\/24 + l**3 - 3. Let m(a) be the third derivative of x(a). Calculate m(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8*j + 6*j - 19*j**2 + 10*j**2 - 28 - 10*j**2. Let p(k) = 6*k**2 - 5*k + 9. Let r(q) = 7*p(q) + 2*v(q). List the prime factors of r(6).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2101*b**3*v**2 + 389*b**3 + 2*b**2 + 609*b + 2387*v**2 wrt b?\nAnswer: 12606*v**2 + 2334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12760098.\nAnswer: 2, 3, 13, 17, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41.73 - -42. Let g = 43.47 - m. Let w = g - 43. What is the nearest to w in -2, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 9*z**3 + z + 0*z**3 + 1 in the form g*z**2 + h*z**3 + t*z + j and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2424785267.\nAnswer: 2424785267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (4*(5 + sqrt(153) + -1 + sqrt(153) + 3 + sqrt(153)*-2 + -2)*-2)**2) + 5.\nAnswer: 9593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 2426216.755?\nAnswer: 2426217.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2647 is divided by 790.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 1448*w + 5856.\nAnswer: -4*(w - 4)*(w + 366)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144 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: Let k = -34 - -52. Suppose -k*b - 476 + 2096 = 0. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 * 1682992\nAnswer: 121175424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8*(3\/2 - 2). Suppose -z + 3 = -n. What is the third derivative of z*h**5 + h**5 + 16*h**2 - 21*h**2 wrt h?\nAnswer: 480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19923 and 3099?\nAnswer: 20580459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -77 + -17?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**5\/4 - 29527*k**4\/2 + 147623*k**3\/2 - 14757*k**2 - 1240047*k\/4 + 531441\/2 = 0.\nAnswer: -2, 1, 3, 59049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 15*t**2 - 20*t - 5. Let s be n(-16). Suppose 2*l + s = 3*h + 2*h, -4*h + 38 = 3*l. Solve -5*p = -h - 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a (base 15) to base 6.\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s = -24 - 66. Sort -3, 5, s, 0 in decreasing order.\nAnswer: 5, s, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197349103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 124480129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2904 and -102.\nAnswer: 296208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13656*q + 4910*q - 3382*q + 3695*q.\nAnswer: 18879*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/7)\/s**15*(s**(-3\/11)*s)\/s**(-8) assuming s is positive.\nAnswer: s**(-472\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from ssfffsfsfsffffff?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -24 (b) -1 (c) -0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3 - w**2 - 1 - 1. Let u(p) = 8 + 9*p**2 + p**2 - 13. What is -5*j(i) - u(i)?\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1409 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**5\/20 - y**4\/4 - 5*y**3\/6 - y**2\/2 - 18*y. Let i be p(-2). Solve -21 = o + 5*r, i*o + 5*r + 7 = 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(-6*(sqrt(539) + sqrt(11) - sqrt(11))) - (sqrt(11) - (sqrt(275) + ((sqrt(275)*2)**2 - sqrt(275))))*-5.\nAnswer: -5500 + 209*sqrt(11)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r - 8451 = -8841. Solve 0 = -2*k + 3 + 7, r = -4*f + 3*k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4 = 8, 0 = -4*d + 2*i + 24. Let m(s) = -11*s**2 - 5*s + 6. Let t(k) = -4*k**2 - 2*k + 2. Determine d*t(j) - 3*m(j).\nAnswer: j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/70 in -0.4, 0.218, -2\/11?\nAnswer: 0.218","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -v + 2097, -v = 2*v - 6. Suppose -4*w = -0*w - 4, -4*m - 3*w = -i. Let n = 45 + m. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 38*i + 328 = -44*i, -r + 4*i + 228 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 10:13 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 27. What is the remainder when 71 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-73710)\/208)\/(-63) + -13 + 10.\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 624102338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(288) + sqrt(288)*3)\/(sqrt(9)*-3*5) + -2).\nAnswer: 32*sqrt(2)\/15 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r + 10*r + 38. Let u(n) = -635*n - 42. List the prime factors of u(r).\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -202 - -205. Let r(u) be the first derivative of 0*u - 3\/28*u**4 - 2\/7*u**n + 6 - 3\/14*u**2. Factor r(h).\nAnswer: -3*h*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(168))\/sqrt(7))\/((sqrt(8) - sqrt(72))*4) + -5.\nAnswer: -5 - sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28648 = 14*z + 222268. What is z rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 + 31*v**2 + 91*v - 1256. Calculate i(14).\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(209\/(-22))*(-2)\/20*-20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 13*n - 1083. Let x be s(83). Put -2, x, 632 in ascending order.\nAnswer: x, -2, 632","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 14*v**2 + 32*v - 82. Let a be u(-10). What is the nearest to -47 in a, 4, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**2\/7 - 110*n\/7 - 108\/7 = 0?\nAnswer: -54, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 + r**2 - 3*r. Let t be u(0). Let g(i) be the first derivative of -1\/3*i**3 + 1\/4*i**4 + t*i**2 - 3 + 0*i. Let g(o) = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013851 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 74998*v + 1. Let f(l) = -74999*l - 2. Let h(r) = 3*f(r) + 2*n(r). Let u be 2\/4*32\/(-4). Let d be h(u). Round d to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2907974 times -0.2\nAnswer: -0.05815948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 2:34 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 1, -1, -2, -477, -290 in increasing order.\nAnswer: -477, -290, -5, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 3*s**2 + 3*s - 1. Let d(b) = b - 1. Let g(u) = 2*d(u) - f(u). Let x be g(-3). Does x = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 195561474 + -125351474. What is g rounded to the nearest 1000000?\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*u + 10, -2*u + 2*n + 23 = 7. Suppose -5*p = 3*s + 64 - 23, u*p + 2*s + 25 = 0. Let o = p - -11. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 11. Let j be d(11). Suppose j = 2*u + 11 - 41. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136 - -73. Let z = 158 + n. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19320 + 1?\nAnswer: -1931c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1490 - -1490.000000976. Round l to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 441 and 392.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/4 + 7665*x\/4.\nAnswer: -3*x*(x - 2555)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*v = -223*v + b - 43981, 219905 = 5*v + 4*b. What is the ten thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -a - n, -4*n = -2*a - 31 - 37. Let w be (-13)\/a + 7\/(-2). Is -3 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -8 + 5 + 250 + -209.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - w - w)*(0 - 6 + 3) - 1742 + 1742 + 30*w + (-4 + 5 + 0)*(w + w + 0*w) - w + w + 2*w as u*w + y and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 136?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - t**2 - 11. Give r(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12\/(-2)*(-2 + 3)*-1 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 58. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/6*2 + (-452)\/678. What is the greatest common divisor of 65 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 57\/7, 1889\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 + 130. Suppose 2*k - r - 63 = 0. Suppose -5*l + 5*w + k = 0, 3 + 21 = 2*l - w. What is the greatest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 f when two letters picked without replacement from ffupu.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 21 - 36. Put y, 0, -7, -5 in ascending order.\nAnswer: -7, -5, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a milligram in micrograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 11*s = -4*p + 2332, -5*p - 3*s = -2915. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 52*c - 180. Let u be t(48). Is u less than or equal to 240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2718560*u + 200. Let j be i(5). What is j rounded to the nearest 100000?\nAnswer: 13600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*d = -5099 - 2905 - 9132. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1227?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 21 - 19*j**5)*(-365 - 349 + 967).\nAnswer: -4807*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z**2 + 13*z + 14. Is n(-10) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(1\/3)*i\/(i\/(i\/(i*i**3*i)*i))*i**(11\/4)*i*i**9 assuming i is positive.\nAnswer: i**(133\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6383 + -6329. Calculate the highest common factor of u and 1026.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 371 = 99. Let i be (-130)\/(-8) - (-17)\/n. Suppose -m - 11 + i = 0. Let c(s) = s**3 - 6*s**2 + 2*s. Give c(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -48c - -2?\nAnswer: -48a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -153\/2*w**2 - 3\/2*w**3 - 2565\/2*w - 14175\/2 = 0. What is w?\nAnswer: -21, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 28, 2.98?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 259 and 182?\nAnswer: 6734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 881 by 2.\nAnswer: 881\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*((-2)\/(-1))\/2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106615 - -149414. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 400\/187, 4, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502344 (base 7) in base 15?\nAnswer: 40034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let x(r) = -12 - 4*r + 10 + 3*r. Let n be ((-1)\/(6\/(-4)))\/((-3)\/9). Calculate n*a(d) + x(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2172598?\nAnswer: 2, 1086299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32.0225 + 32. What is c rounded to 3 decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-8))\/((-90)\/(-48)). Let 1\/5*v + 0*v**3 + 0 - x*v**2 + 2\/5*v**4 - 1\/5*v**5 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccapccipcaicicccccic. Give prob of sequence icc.\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272824933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64.3297 + 63.84. Let j = u - -0.5. Round j to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) -2\/5 (c) -120 (d) -4 (e) 3\/7 (f) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgxgxggxgccggggx. What is prob of sequence gx?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -533, -1067, -1601, -2135, -2669?\nAnswer: -3203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 124*-0.2\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.0707 - 1.9707. What is the biggest value in p, -18, 0.023, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tffntfofnfntff. What is prob of picking 1 f and 1 t?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11989\/4 + -2975. Let p(o) = 17*o + 10. Let z be p(-12). Calculate the common denominator of (z\/20 + 3)*-1 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*sqrt(324)*-2)\/((sqrt(432) - (sqrt(432)*-1 - sqrt(432)))*2*-6) + 4.\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1918 = 3*x. Suppose -3*h + 210 = -0*h - 3*f, -2*f - x = -4*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 18. Let i(k) = 51*k**2 + 6*k - 8. Let y be i(2). Let m = y - 208. Determine o(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 8:02 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, n: 5, g: 3, l: 1, o: 3, v: 1}. Give prob of picking 1 i and 3 o.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6047657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4, -44, 0.4 in decreasing order.\nAnswer: 0.4, 0.1, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Let g(n) be the first derivative of 0*n**2 - 2\/3*n**q + 0*n - 9\/4*n**4 + 1. Factor g(v).\nAnswer: -v**2*(9*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*s + 2 = 0, -r - 5*s + 0 = -12. Let u be (3 + 21\/(-6))\/(13\/(-52)). Solve 0*n + 16 = -2*n + u*a, 3*n - 1 = -r*a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1477.10085 - 12.\nAnswer: -1489.10085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1126207 and 1441?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 32 = -6*z + z, 25*w - 4 = 4*z + 30*w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/5 (b) 4\/7 (c) -2236 (d) -1\/3 (e) 0 (f) -939\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b - 26768 + 549236 = 14*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**3 + 70*q**2 - 972.\nAnswer: 3*q**2 + 140*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q**3 - 28*q**2 + 124*q - 10. Determine i(4).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -15*k + 20, -156 = w - 3*k. Is 31 a factor of 2\/(-4)*(w - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 8:59 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k*w**4 + 6*k*w**2 - 539*k*w + 1546*w**4 wrt w.\nAnswer: -24*k*w + 37104*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, j: 1, v: 8}. Give prob of picking 1 v and 1 h.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18, -2, 0.2, 4, 0, 0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3473 - 25*a**3 - 2081*a**2 - 4*a + a + 101*a**3 + 2083*a**2 + 83*a**3 wrt a.\nAnswer: 477*a**2 + 4*a - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3377724, -6755448, -10133172, -13510896, -16888620, -20266344?\nAnswer: -23644068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 1.8, 37, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 22*w + 54 = 0. What is the highest common divisor of w and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10000 and 300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201, -3\/55, 7\/8 in increasing order.\nAnswer: -201, -3\/55, 7\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 27*z**2 + 2*z - 33. Calculate t(27).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -16 + 55 - 7*o - 2*o**2 - 23 - 20 + 3*o**2. Let f be h(-1). Solve 20 = f*y + 16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*k + 310 + 65 = 0, -4*c = -5*k - 705. What is the highest common factor of c and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 435656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*f - n + 3*n, 18 = 4*f + 2*n. Let m(k) = 5*k**2 - 8*k + 3. What are the prime factors of m(f)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 12\/(-4))\/(14\/42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364029155647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - 33*d. Let m(j) be the second derivative of 10*j**3\/3 + 10*j + 8. Give m(p(s)).\nAnswer: -40*s**2 - 660*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b - 28*b + 1326925 = 0. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 divided by -2092?\nAnswer: 97\/1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10969 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 459749?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 302150 and 80251040.\nAnswer: 401255200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -1 + 8\/5. Let o = 53 + -53.003. Let y = 0.403 + o. Which is the biggest value? (a) -8 (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -9 (b) -1\/5 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -39.89 and -9.3.\nAnswer: -49.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2250266840?\nAnswer: 2, 5, 56256671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**2 - 308*f - 4080 = 0. Calculate f.\nAnswer: -60, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 2 - 2 + (3 - g - 3)*(-4 - 3 + 6) + 1 + g - 1)*(-32*g + 3 + 11450*g**2 - 11449*g**2 - 41*g) to a*g**3 + c*g + z*g**2 + l and give z.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8\/6193 + 166475\/569756. Let c = -1\/23 + t. Solve -c*r**2 + 1\/4*r + 1\/2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 147*r - 291. Let n(b) = b**2 - 73*b + 145. Let j(q) = 3*h(q) + 5*n(q). What are the prime factors of j(54)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*-15.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4594*i - 1854*i - 1121*i + 7164*i to the form f*i + y and give f.\nAnswer: 8783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*n**2 - 201*n**2 + 171*n**2 + 101 as v*n**2 + g*n + b and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118 - 118.035. Let n = v + 3.095. Let t = n - 0.06. Which is the second biggest value? (a) t (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 17*t + 3*q - 13 = 0, -3 = -t - 5*q. Let j = 6.3 - 6. Which is the nearest to 0.2? (a) j (b) t (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 44.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2653 or -2654?\nAnswer: -2654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5764858823?\nAnswer: 67, 151, 569819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**3 - 3*m**3 - 3*m**3)*(52 - 52 + 2*m) + 5*m**4 - 3*m**4 - m**4.\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 1. Let f be 1*(-4)\/(-6)*3. Suppose -5*w + i = -f*w. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5719*a + 47 - 47 as v + j*a and give j.\nAnswer: 5719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 s when four letters picked without replacement from {s: 9, o: 8}?\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 62 + 5adc?\nAnswer: 5b4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r**2 + 34*r + 1. Let g(y) = 6*y**2 + 41*y + 1. Let o(l) = 5*b(l) - 4*g(l). Let f(a) = a**2 + a. Calculate 6*f(w) - o(w).\nAnswer: -5*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 7*z**4\/24 - 3*z**2. Let m(c) = 3*c. Calculate m(h(q)).\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(132) - (sqrt(132) - (sqrt(132) - (sqrt(132) - 1*sqrt(132))))) - (sqrt(132) - sqrt(132)*-2*-3))\/(3*sqrt(1200)*3).\nAnswer: 2*sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/9508 and 49\/320.\nAnswer: 760640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24188 + 58609. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 340*x + 6273. Calculate s(20).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/3450 and 11\/225.\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38093 - 37358.28. Let f = d - 732. What is f rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eighty-three thirds of a week?\nAnswer: 4648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 - 2*x - x - x to the form m + z*x**2 + r*x and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 120*r - 14 - 19 - 12 + 45 as w*r + u and give w.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 935\/3 + -629\/2. Let g = 1730\/609 + w. Let q = 7411\/203 - g. Find the common denominator of q and 95\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100864385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 12834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 329, 342, 369, 416, 489, 594, 737?\n\"Answer: n**3 + n**2 + 3*n + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 3 - 3*v**2 - 5427214*v - 3 + 5427214*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, c: 9}. What is prob of sequence ggg?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238159296, 238159298, 238159302, 238159308, 238159316, 238159326, 238159338?\nAnswer: 238159352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 60\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -62*x**2 + 1758*x - 58. Calculate s(27).\nAnswer: 2210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n + 29. Determine w(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.69 - 2.8. Let s = 715 + -745. Let r be ((-3)\/4)\/(10 - (-255)\/s). Put 0.1, j, r in decreasing order.\nAnswer: 0.1, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**7\/7 - 281*m**5\/5 - 121*m**3 - 301. Find the third derivative of p(a) wrt a.\nAnswer: -120*a**3 - 6744*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 6*j - 28. Let p be k(-9). Let u = 286 - p. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236496, -236487, -236478, -236469, -236460, -236451?\nAnswer: -236442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 2:08 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42723 + 42737. Solve a*z - 990 = -1116 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/8*127)\/(-28 + (-31340)\/(-1120)) is divided by 128?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -11.8. Let d = -1.3 - h. Suppose -3*l + 5*l = -6. What is the closest to 1 in d, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23271308 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105420440.\nAnswer: 2, 5, 109, 24179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**6\/120 - 2*k**5\/15 + k**4\/24 + 4*k**3\/3 + 514*k**2. Give v(-7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 85. Suppose 5*i - 8 = 7. Suppose -84 = -5*j + 5*a - 14, 4*j + i*a = 56. What is the greatest common divisor of j and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1019508*w**3 + 850282*w**3 + 75738*w**3.\nAnswer: 1945528*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 11 + 473*s**2 + 0 - 10.\nAnswer: 473*s**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 282 and 190632?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/25 (b) -5 (c) -0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 3*d**2 - 2*d - 3. Let w be (-102)\/(-4) - 4\/8. Suppose -3*h = -3*j - 6, 5*h - j + 3*j + w = 0. Let c be s(h). Solve -1 - c = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (109947\/6)\/((-13)\/(156\/90) - -8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 16*m = -8. Suppose 0 = -6*n + m*n + 84. What is the second derivative of n*w + 2*w**3 - 29*w + 2*w**3 wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4 - 4) + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l - 83. Let i be t(-17). Suppose 6 = -5*f - i*b - 0, -f + 4*b = -12. Let d = 0 + f. Solve 0 = g + 2*j - 3, 4*g - 2*g + 3*j - 2 = d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354456 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 20392109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-403)\/65*-5*1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*d = 23*d + 17*d + 20*d. Solve -2*x + 4*b = -0*b, 2*x - b = d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 427*z - 5507. Calculate i(11).\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 5*s**2 - 5*s + 1. Let y be o(2). Let n(t) = 61*t**2 + 7 + 6*t - 54*t**2 + 4*t**y - 3*t**3. Let i = -781 - -775. What is n(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -p - 3, -92*v + 3*p + 7 = -96*v. Which is bigger: 18\/25 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*z**3 + 68*z**3 + 127*z**3 + 23*z**3)*(4 - 4 + z**2) + (0 - 2*z + 0)*(-7 + 7 - z**4).\nAnswer: 161*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1626610?\nAnswer: 2, 5, 29, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*f = -126*f - 144 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -289716, -579451, -869188, -1158927, -1448668, -1738411, -2028156?\n\"Answer: -c**2 - 289732*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -219 * 0.11\nAnswer: -24.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u + 27. Suppose -a + 3*v = -v + 3, -a - 2*v + u = 0. Find the second derivative of 24*t**4 + a*t**4 - 36*t**4 - 7*t wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.905 and 10.\nAnswer: 29.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95804 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, k: 3, q: 7}. Give prob of sequence kq.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -401058.8 to the nearest 10000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x - 3. Suppose 4*t - 5*t + 10 = 0. Let u = -97 + t. Let l = 85 + u. Give b(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/(74\/20 - 4). Suppose -n + 4*n - p = 2741, n + u*p - 919 = 0. List the prime factors of n.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 4. Let x = z + -8. Let r = 25 + -20. Put 0, r, x in increasing order.\nAnswer: 0, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 431 + -397. Let o = -156 - -224. Calculate the greatest common factor of o and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16043?\nAnswer: 61, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 6*t + 7. Let h be c(11). Let i = h - -96. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 324*q - 51481. Calculate the remainder when (-1)\/4 + (-938)\/(-8) is divided by l(159).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -123, 667, -111\/8 in descending order.\nAnswer: 667, -111\/8, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from cltllcclctc.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + 0)**2 + -1 + -5 - (-1 + sqrt(63) + 1*sqrt(63)*1).\nAnswer: -6*sqrt(7) + 562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -120712.\nAnswer: 5\/120712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/1640)\/((-1716)\/(-19188))?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + 2 - 2 - 1771*v**4 + 877*v**4 + 855*v**4 + 0*v**4 + v**4 - 3*v**4 + (0*v**4 + v**4 + 0*v**4)*(1 - 4 + 2).\nAnswer: -44*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47253292 and 1184.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 17 = 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-20\/7)*f*f)\/f)\/f)\/f**(-40))\/(f**(-31)\/f**(-9\/5)) assuming f is positive.\nAnswer: f**(2322\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -664*g - 27556 - 160*g**2 + 319*g**2 - 163*g**2.\nAnswer: -4*(g + 83)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 996?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 45. Suppose 4*m + 12 = -4*h, -2*m = -5*h - 9 - r. Let j = h + 7. Which is the closest to -1? (a) -5 (b) j (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22533223 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 112730788, 112730787, 112730786, 112730785, 112730784?\n\"Answer: -u + 112730789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.9999 - -30. Round s to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q + 6 = 20*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-13)*(-22)\/(-33). Let t = -0.2 - -0.7. What is the third biggest value in y, t, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*1 + 2)**2.\nAnswer: 28*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**(-2\/19)\/t*t)*(((t**(-7\/3)\/t)\/t)\/t)\/t assuming t is positive.\nAnswer: t**(-298\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/33, -3, -72?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580*g**2 + 1301*g**2 + 1005*g**2 + 175*g**2.\nAnswer: 1901*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 594 + -591. Which is the smallest value? (a) -2 (b) v (c) 2\/29 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -17256093*v**2. Let m(u) = -2*u**2. Determine a(m(o)).\nAnswer: -69024372*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 5*s - 4*x, -2*s + 28 = -4*s - 2*x. Let t = -5 - s. What is the least common multiple of t and 3\/(-2 + -1)*-5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 38592*p**3 + 4 - 2*p + 38580*p**3 - p.\nAnswer: -12*p**3 - 3*p - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/814 + 30959\/7326. Calculate the common denominator of -17\/3 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34 + -14386?\nAnswer: -14352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*d - 14 - 14 = -28 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 26*i**2 + 222*i + 2. Let m(y) = -y. Determine m(a(w)).\nAnswer: -26*w**2 - 222*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 3\/(-2 - 34\/(-14)). Suppose m = 37 - t. Let f = m - 31. What is the biggest value in -1\/4, -1, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1453 + -1444. Which is the smallest value? (a) -3 (b) 2\/3 (c) r (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*h - 56. Suppose -7*v + 7 + h = 0. Solve v*l - 16 = 4*g, -g = -4*g - 2*l - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.2. Let c = -4.9 + 5. Let k = c + 0.1. What is the second biggest value in -0.4, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**5\/60 + f**4\/24 + 32*f**3\/3 + 7*f**2 + 17*f. Determine z(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3125375 and 1136500?\nAnswer: 12501500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(252)*2 + 0 + 1*sqrt(7) + -2)*-2)**2.\nAnswer: -1872*sqrt(7) + 42732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37585 divided by -7517.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8259 is divided by 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -1, 112, -3 in descending order.\nAnswer: 112, 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 0*j + 13*j**2 - 5*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 19*x**2 + 897642. Let p(u) = -2*u. Calculate r(p(c)).\nAnswer: 76*c**2 + 897642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304667508 a multiple of 1884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from {f: 1, j: 7, w: 4, r: 1}.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 1. Suppose t = 5*f + 24, -t - 4 = -4*t - 2*f. Suppose 0 = -2*o - t + 14. What is the lowest common multiple of p(-6) and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_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: Evaluate (-2)\/5*90\/(-216).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**4 + 100*d**3 - 800*d**2 + 2480*d - 2496 = 0. Calculate d.\nAnswer: 2, 4, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8.4 (b) -0.1 (c) -28 (d) 386\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((12 - 9) + (-4)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 182.87 times 1\nAnswer: 182.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -11 + (-1 - (230\/(-15) - -4)). Sort v, 0.058, 3, -0.3 in descending order.\nAnswer: 3, 0.058, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 0) + -581 + 573.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 + 1387*h**2 - 564901*h\/4 - 142612.\nAnswer: (h - 101)*(h + 1)*(h + 5648)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + sqrt(176))**2.\nAnswer: -160*sqrt(11) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*l + 39*l - 48*l - 58*l.\nAnswer: -167*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-17)\/i))**(-14)\/(i**(-5\/6))**42 assuming i is positive.\nAnswer: i**(-231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 8*g - 80. What are the prime factors of (-3)\/g*-2 + 613\/2?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (1 + -10)\/(-3). Suppose 4*l + 18 = 4*x - x, -5*l - 15 = 0. Suppose -p*j + 0*h + 3*h + 73 = 0, -x*j + 33 = 5*h. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = 6*c + 24. Suppose z = -4*a + 70 + 245, c*z = a - 95. Calculate the remainder when a is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -252562700 to the nearest 1000000.\nAnswer: -253000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 877087382 less than 885?\nAnswer: -877086497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x**2 - 19*x - 7. Let i(g) be the first derivative of -33 + 5*g**2 + 3*g - 4\/3*g**3. Let z(p) = -5*i(p) - 3*k(p). Give z(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6)*3)\/(sqrt(98)*6) - (sqrt(108) + (-1 + sqrt(108) + -3)**2 - (-4 + sqrt(108)*-2 + sqrt(108)))*1.\nAnswer: -128 + 253*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.57692799 rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 383 + -378. What is the closest to -2 in 3, -2\/17, 1, h?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3064*t + 210 = 3079*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w - 22 + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 5 + 5. Suppose s*d - 5*d = -5*f + 8, -f = d - 8. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 22*r**2 + 74*r + 25. Let x be s(25). Which is the closest to 0.5? (a) x (b) 1\/7 (c) -0.3 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 - 736*z**2 + 169*z + 62187. What is w(-368)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10*(-3)\/108)\/((-78)\/(-18) + -6). What is the closest to 2\/19 in 2\/5, 5, -2\/21, u?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*c - 6 = -4*b + 208*c, -c - 13 = 10*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + -1*(-1 - -2). Calculate the greatest common factor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -9. Suppose r = 5*j - 2*j - 6. Suppose 21 = -j*w + 5*w. What is the remainder when 25 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2003.554818 and 0.3.\nAnswer: 601.0664454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 1. Let z be (-145)\/10 + (-2)\/(-4). Is z\/((-297)\/291 + t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 - 23*t + 1. Let m be (-5 + -1)*(-1 - -2). Let c be q(m). Is c not equal to 851\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2\/3 + 28585*p\/3 - 28600.\nAnswer: 5*(p - 3)*(p + 5720)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 h when three letters picked without replacement from {s: 1, w: 2, h: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m + 124. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 8*y - 5. Give k(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 101 - 51 = 0. Let x(v) = -41*v**3 - 5. Let m(b) = -594*b**3 - 72. Give r*m(t) - 72*x(t).\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 1401 = 3*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(1\/4)*u)*u**(2\/27))**(-1\/2))**41 assuming u is positive.\nAnswer: u**(5207\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 0 + 1 + -6 + 328 + -319?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.7 - -0.3. Let c = -1.1 - -3.1. Sort -2\/3, c, y in increasing order.\nAnswer: -2\/3, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2413775?\nAnswer: 5, 7, 13, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 192*z - 11715. Give j(61).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 7*u**2 - 6*u - 8. Calculate the remainder when 30 is divided by i(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -126 greater than or equal to -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 24954*b + 2 + 0 - 5 - 4427*b as v + j*b and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from {i: 4, z: 5, l: 1, t: 3, y: 1, f: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 4, -0.1, 0.03, 0.3, -3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 629183?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17271 and 6327.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/175268 and -101\/336?\nAnswer: 14722512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 26 - 6. What is the smallest common multiple of g and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 4*s + 82, s + s = -3*p - 107. Let j be (-187)\/p + (-4)\/6. Let w(v) = v**3 - 6*v**2 + 6*v + 2. Calculate w(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 1381 = 3*g - 15*i, -467 = -g - i. Suppose 0*f + g = f + 3*b, b = 4*f - 1878. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 24*n**2 - 58*n - 88. Determine r(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/14)\/(276\/322)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**3 + 14*c + 10. Let k(n) = 6 - 9 + 5 - n**3 + 0*n + 3*n. Suppose -2*b - 3 = -b. Let m(l) = b*o(l) + 14*k(l). Differentiate m(x) wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12520 and 4780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from {r: 1, j: 1, i: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -0.03604.\nAnswer: 0.23604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -890*c + 35680 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -776\/297 - -118\/27. Let p = 0 - 14. Find the common denominator of l and ((-25)\/(-90))\/((-1)\/p).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1452))\/((sqrt(128)\/sqrt(8))\/sqrt(4))*5 + -2.\nAnswer: -275*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((3 - (14 + -4)) + 3 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528.17316 rounded to the nearest ten?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, l: 1, w: 1, a: 6, o: 5}. Give prob of sequence awo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -25*d**4\/3 + 4004*d. Let u(a) = -22*a**2. Determine u(h(j)).\nAnswer: -220000*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/5)\/(8\/10*(-3)\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 335408 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 4*y = 3*h + 8, -5*y + 28 = -3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1397*n**3*o**3*u*z + 23*n**3*o**3 + 9*n*o**3*u + 2*n*o**2*u - 2*o**3*u*z wrt z.\nAnswer: 1397*n**3*o**3*u - 2*o**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 15*m = -100. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -0.06605338?\nAnswer: 0.93394662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17836922 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t + 5. Let g(o) = 8*o - 20. Let c(y) = -9*d(y) - 2*g(y). Let b(n) = -4*n + 112. Let f be b(29). What is c(f)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*m - 7*m = 108, 4*n - 5*m = 454. Let h(p) = -43*p + 3. Let x be h(2). Let o = n + x. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2981\/2 + -1492. Sort j, 0.5, -0.3, -22 in decreasing order.\nAnswer: 0.5, -0.3, j, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*v - 10*v - 11*v)*(-13 - 5 - 16) - v + v - 3*v in the form i + t*v and give t.\nAnswer: 1153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111010000010100111010 + -100?\nAnswer: -11111010000010100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 16) in base 15?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3851?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 1 + 20\/(-8))*-92 - 5. Solve -7*v + 34 = r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (21 + -1 + (1 - 3)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/12*(8\/12 + (-143)\/39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(228) - (sqrt(228) + -1*sqrt(228) + sqrt(228)) - sqrt(228)))\/sqrt(12).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**4\/3 + 32*p**3\/3 - 68*p**2 - 3952*p\/3 - 3718\/3 = 0.\nAnswer: -13, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76444910.446 + -5638.446. Let l = 76439317.000193 - g. Let n = l + -45. What is n rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 4\/9, -7, 3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 194 - (-14)\/((-140)\/(-90)). What is the third derivative of -g*q + 98*q + q**2 + 104*q - q**6 - 3*q**6 - 5*q**2 wrt q?\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3177457?\nAnswer: 3177457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwdnlmk. What is prob of picking 1 d, 1 l, 1 m, and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2\/3, -1, -37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 3:30 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 1379. Let v = 2421 + z. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42073.\nAnswer: 42073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*g - 30*g + 504. Solve -g*z = -23 - 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1279199146?\nAnswer: 2, 639599573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 354509*k**2*n**3 - 575016*k*n**3 wrt k.\nAnswer: 709018*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*x - 18. Let a(t) = t**3 + 11*t**2 - 11*t + 12. Let l be a(-12). Solve -x*w + 7*w - 15 = l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -11 + 7 + 4 + 1. Let b(r) = -9*r + 2. Give b(q) - 2*n(q).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 9*k**2 + 3*k + 4. Give v(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1745234 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - (sqrt(162) + (2*sqrt(162) - sqrt(162)) + sqrt(162)))\/sqrt(9) + sqrt(162)*5 + sqrt(18))**2.\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -10 (c) 7 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 5*n**2 + 2*n + 5. Let i be r(-5). Let m = 22 + -15. Let z(p) = -p**3 + 6*p**2 + 6*p + 7. Let y be z(m). Put i, y, 3 in descending order.\nAnswer: 3, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 5:10 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**5 - 2*u**3 + 2*u**3)*(-9 + 13 + 13).\nAnswer: -34*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 - 77*j**2 - 131*j + 9132. Give p(-32).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 9*l**2 - 14*l - 3. Let j be w(-7). Let m(t) = 3*t + 6. Let c be m(j). What is the tens digit of (-374 + -1)*c\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g\/(g\/(g\/g**(1\/17))*g*g)))*g**22*g assuming g is positive.\nAnswer: g**(373\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(4 - 1) + 3. Suppose l*n - 7 = -0*g - g, -g = -2*n + 1. Suppose -n*f - 62 = -66. Solve 0 = 2*j - 6 - f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7 - 5*k**2 - 4*k + 7*k + 7*k**2 + 7*k. Let c be o(-12). Suppose -c = -9*i + 41. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1175 is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-33)\/(-44))\/(1\/20). Let z = s - 17. What is the units digit of (5\/4)\/(z\/(-40))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5920430 to the nearest 10000.\nAnswer: -5920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*4.52\nAnswer: -0.1808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12008 - -12006. Let j(w) = 0 - 2*w - 5*w**2 + 2*w**2 - 11 + 7. Give j(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 20618 = -11407. What is the greatest common divisor of w and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 32*k + 14. Let x(p) = p - 5. Let b(j) = -2*j - 2. Let r(s) = 5*b(s) - x(s). Calculate 17*r(d) + 6*v(d).\nAnswer: 5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3.07, -16\/83, -0.4, -0.2, -2, -1\/19?\nAnswer: -16\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l. Let j(y) = -17*y + 13. Let q(m) = j(m) + 2*p(m). Let s be q(-8). Let g = 302 + s. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - q - 7. What is the least common multiple of (150\/(-60))\/((-20)\/(-24)) + (-11 - -22) and z(-6)?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41275936717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 6 + 6)*(0 + 3 + 0 + (-4 + 2 + 3)*(2 - 2 + 2) + 1 + 0 + 1).\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (10 + -9 + -7) - -2 - (-2 - 8).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 4*h = 7*n + 8, h = -3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -3*v + 4*o, o - 3 = -2*o. Suppose -3*m = 2*s - 42, 3*m - 5*s - 38 = v. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*k - 11 + 11*k - 20*k)*(2 + 2 - 5)*(-316 + 316 - 96*k).\nAnswer: 768*k**2 - 1056*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*15 + 8\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26739, -26734, -26727, -26718?\nAnswer: -26707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 0*j**2 - 1\/4*j**4 + 2*j + 0 + 1\/2*j**3. What is the second derivative of i(b) wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*2*6\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3) + ((-23 - 18) + 19 - -5).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*w**3 - 35*b**2*w**2 + 142*b*w**3 + 3*w wrt w?\nAnswer: 6*b**2 + 852*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-221)\/((-505869)\/(-6540)))\/((-1)\/42).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 5 + -3)*1. Suppose -314*s + 3661 = -307*s. Suppose s + 57 = o*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a millennium in decades?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22baa (base 13) to base 14.\nAnswer: 1920b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 28 = -68. Let w be 564\/14 - (-32)\/(-112). Suppose 3*v - 6 - w = 2*x, -15 = 3*x. What is the least common multiple of v and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84392.13 kilograms to grams.\nAnswer: 84392130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-140))\/((-42)\/(-140)) - 216\/476. Let d be (-2)\/6*(9 + 3). Which is the second smallest value? (a) -3\/4 (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2069286 divided by -977\nAnswer: -2118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460 = -17*n + 424. Suppose 5*t = 4*t + 20. What is the smallest common multiple of t and n?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 - -3.94. Let j be (1\/(-3))\/(8\/40). What is the nearest to 2\/3 in 2\/9, j, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 16 + 94 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(176) + 0 + sqrt(176) - sqrt(176)) + 1 + sqrt(176)*4 + sqrt(176))**2 + 1 + (-1 + sqrt(176) + 3 - sqrt(176))*-5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.867 - 0.033. Let h = d + 0.9. Let l = 2 + -2.3. What is the biggest value in h, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*v - 2*p, -4*v + v + p + 15 = 0. Let y(u) = -u + u**2 - 3 - v*u + 5*u + u. Is 23 a factor of y(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 0*h**5 + 0*h**3 - 1\/168*h**8 + 0*h**7 - 4*h**2 + 1\/60*h**6 + 0*h + 0 + 0*h**4. Find w such that b(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4 + 25)*(0*g**3 + 2*g**3 + 0*g**3).\nAnswer: 70*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1400432 (base 5) to base 6\nAnswer: -334430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(8\/3)*k)*k)\/k**(1\/12) assuming k is positive.\nAnswer: k**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-112)\/(-168))\/((-8)\/654). Let z = x - -221\/4. Which is the closest to -3\/7? (a) 1 (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0639725 to 3 decimal places.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/5)*(x*x*(x\/((x**(-2\/9)*x)\/x))\/x*x*x)\/x)**(-50)*((x**(-3)*x)\/x**(-6))**(5\/3) assuming x is positive.\nAnswer: x**(-1030\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73\/3 - -71\/3. Let x(j) = j**3 + 6*j**2 + 5*j + 4. Let u be x(-5). Which is the nearest to 0? (a) u (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -13*u + 3. Suppose -3*x + 2 = -2*l - 5*x, 16 = 4*l - x. What is q(l)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -16138.\nAnswer: -64552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4760 and 56?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3110057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3730\/7 or 2\/267?\nAnswer: 2\/267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51 in 0.2, 66, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10551 times 0.1\nAnswer: 1055.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 921, 3683, 8277, 14697, 22937, 32991, 44853?\nAnswer: 58517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35761 divided by 170?\nAnswer: 35761\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001110508379 to seven dps.\nAnswer: 0.0011105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from mxmzmzsmmmszs.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 72959 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-33)\/q)*q)\/(q**(4\/19)\/q))\/((q\/(q\/q**(-8\/11)))\/((q*q**(-3\/14))\/q)) assuming q is positive.\nAnswer: q**(109147\/2926)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbmbbmmbmbbb. Give prob of sequence mm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, v: 4, k: 1}. What is prob of sequence vk?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10120\/22*(-36)\/72*-3*(-3)\/18\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418927?\nAnswer: 418927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/4 - (-3)\/(-6). Let b(d) = -d**3 - 6*d**2 - 11*d - 6. Let u be b(-4). Suppose 4*s - 2*v = -14, -6 = 4*v + u. Sort -1, s, f in increasing order.\nAnswer: s, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -953*v**2 - v. Let m be i(8). Let w be (25 + -5)\/(2\/m). What is w rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2 + 2 + 5*w**2. Let j(i) be the second derivative of i**4\/12 - 653*i + 3. What is j(r(k))?\nAnswer: 25*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52*r**4 + r**3 + 5364*r**2 + 818478 wrt r?\nAnswer: 208*r**3 + 3*r**2 + 10728*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -956*c + 10603*c - 405174 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y*y\/((y**(-1\/19)*y)\/y))\/y)\/(y\/(y\/y**(-2\/15)*y)*y*y))**34)**(-36) assuming y is positive.\nAnswer: y**(-137904\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 176?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*f = -71*f + 981 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2 - 1226*h - 1244.\nAnswer: 2*h - 1226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15*1095 - (5 + -13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -62 - 11?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 100? (a) 3\/5 (b) 0.4 (c) 44.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -1. Let x be (k\/4)\/(2\/(-16)). What is the units digit of (-6)\/9*x - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76960 divided by -1?\nAnswer: -76960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 314 in increasing order.\nAnswer: -1, 5, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/76 and 43\/95.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 6. Suppose -5*g + 0 = -5, -g = -5*z + 29. Calculate the lowest common multiple of z and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6771, 27080, 60929, 108318, 169247, 243716, 331725?\nAnswer: 433274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5047*d*g**2 - 2004*d*g - 3*d wrt g.\nAnswer: -10094*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900*l - 451*l = 436*l + 104 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 87746*u + 3600948.\nAnswer: -2*(u - 41)*(u + 43914)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-6)*1*-2. Suppose -4*r + 19 = -k. Let f = -2 + r. Solve -2*b - f*u = 8, 3*b - 4*u = u + 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -88, -89, -90, -91?\n\"Answer: -p - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1232850.\nAnswer: 2, 3, 5, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 - 1)*(-3 + 5 - 4)*(0*x + 3 - x**2 + 0*x)*(8 + 2 - 77) to v*x + l*x**2 + m and give m.\nAnswer: -1608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61866634143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - 205.9108?\nAnswer: -225.9108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4 = -2. Let i be ((-1)\/22)\/(f\/4). Let s = 10 - 10.5. Sort s, 2, i.\nAnswer: s, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5 + -0.5. Let j = 2.8 - 0.8. Let r = t + j. What is the second biggest value in r, -1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 11:29 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 104689.3 micrometers in centimeters?\nAnswer: 10.46893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2. Let j(d) be the second derivative of 0*d**2 + 0*d**3 + 1\/6*d**4 + 0 + 2*d. Give j(p(a)).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -917 (base 12) to base 15.\nAnswer: -5ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3798 and 86489.\nAnswer: 86489.3798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*m + 9 = 0, 3*l = 4*m - m + 15. Let i(o) be the first derivative of 1\/6*o**2 + 0*o - l + 1\/9*o**3. Factor i(g).\nAnswer: g*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*l + 353 = 92 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52689 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5268*y = 4954*y - 2826 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 921 a factor of 1685430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-1) + (-76)\/(-64) and ((-1)\/3)\/((-32)\/222).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2968\/27 + 110. Which is the smallest value? (a) w (b) -2\/13 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8047573 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 56*o**2 - 147*o + 1871. Give v(58).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**2 + 19*q - 1\/4*q**5 + 1\/2*q**3 + 0*q**4 + 0. Let y(c) = 3*c**3 - 2*c - 1. Let h(g) = -4*u(g) - 7*y(g). Calculate h(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242 + 64677580.\nAnswer: 64677338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16661 by 64.\nAnswer: 16661\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**4 - 327703*c**2 + 79*c - 253186 wrt c?\nAnswer: -36*c**2 - 655406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21247851431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 4:02 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - w + 0*w - 2*w)*(3 - 2*w - 3).\nAnswer: -6*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*g - 16*g + 44. Suppose 7*v - 3*v + 32 = 0. What is the smallest common multiple of g and v\/3*27\/(-6)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386012393?\nAnswer: 13, 67, 73, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163805 and 94305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-20 + (-5400)\/(-280)) - 152\/10.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - 176. Let q = -27 - s. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 13) in base 6?\nAnswer: -544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**3 + 8*h**2 + 8*h + 4. Let z be a(-6). Let x be 416\/z + (-4)\/(-22). Let j = x + -45\/38. Put 3, -1\/4, j in ascending order.\nAnswer: j, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 162253.7g?\nAnswer: 0.1622537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25950821 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 14*b**2 - b + 11. Let v(g) = 14*g**2 - 2*g + 8. What is 3*n(h) - 4*v(h)?\nAnswer: -14*h**2 + 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-102)\/85*(-2)\/((-4)\/(-25)). Let h(s) = 3*s**2 - 45*s - 3. Let c be h(m). Sort c, 1, -1, -8 in increasing order.\nAnswer: -8, c, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/5)\/h*h**(-1\/3)*h*(h**(-7)\/h)\/h**7)\/(((h\/(h*h**0\/h))\/h*h**1)\/(h**(-1\/3))**(-50)) assuming h is positive.\nAnswer: h**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*h + 3*h - h + 4*h to w + j*h and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 68.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 4. Let w be b(4). Let y be ((-16)\/w)\/(2\/(-10)). Let x be 1\/y*(-12)\/(-9). Is x at most 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3791243 < -3791243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhqqhhqhhhhhhqqhh. What is prob of sequence qhh?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/18, 0.11, -24, 0.02?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q**3 + 8*q**2 + 14*q + 3. Let n(v) = 7*v**3 + 8*v**2 + 15*v + 4. Let z(c) = 5*n(c) - 6*w(c). Suppose -2*o = 15 - 1. Determine z(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u - 60 = 0. Let r = u + -8. List the prime factors of (6\/r)\/((-1)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1077 divided by -43?\nAnswer: 1077\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 4*r + 17. What is the remainder when 1*((-8 - -130) + -9) is divided by f(-7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**8\/80640 - w**5\/20 + 3*w**2. Let k(q) be the third derivative of i(q). Factor k(x).\nAnswer: x**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1042*q**4\/9 + 3608*q**3\/3 - 9952*q**2\/3 - 13952*q\/9 + 35840\/3.\nAnswer: -2*(q - 4)**3*(521*q + 840)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**5 - 990*q**4 - 1895715*q**3 + 837025950*q**2 + 5940436320*q + 5101515648 = 0?\nAnswer: -831, -6, -1, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 0.2, -6\/635, 2, 9\/2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.5 - 5. Which is the second biggest value? (a) k (b) 0.9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hogo when four letters picked without replacement from oohgohhooh?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 270385?\nAnswer: -27038a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 239741\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 15*s + 6. What is the smallest common multiple of 1 and x(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 8*c**2\/7 + 5370*c\/7 + 31932\/7 = 0?\nAnswer: -2661\/4, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b**2 - b. Let a(d) = -25*d**2 - 5*d + 1. Calculate -2*a(x) + 9*r(x).\nAnswer: -4*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9364, 9634, 9870, 10072, 10240?\nAnswer: 10374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 49523 times -810\nAnswer: -40113630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 6:35 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40473525 (base 8) in base 12?\nAnswer: 2a44071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, q: 1, p: 2, c: 1, m: 1, s: 2}. What is prob of picking 2 p and 1 k?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 280 - 190. Let v = -203 + r. Let p = v + 112.99999877. Round p to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23363036 - 14810336. What is b rounded to the nearest 100000?\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-24)*(-164)\/5330.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.2 and 0.065.\nAnswer: 1.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55307, 110598, 165885, 221168, 276447?\nAnswer: 331722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**2 - 2*h - 6. Let z be s(-3). Let b = -34 - z. Suppose r + 1 = p - b, r - 3*p = -13. Solve -v + 1 = -r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 20851?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, -52, -5, -4 in descending order.\nAnswer: -4, -5, -52, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -64607?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 69*j**4\/4 - 5*j**3 - 15*j + 200. Let a(d) = -10*d**3 + 2*d**2 + 2. Give 15*a(s) + 2*i(s).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 97195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 6*i**4 - 7*i**3 + 21*i**2\/2 + 21*i + 703. Let m(a) = a**3 - a**2 + a + 1. Calculate -5*f(b) + 105*m(b).\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3 = 5*t + 17, 3*p + 11 = -2*t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1288)\/48 - -26)*84 - 40?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2463 is divided by 48.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (370\/629)\/((-10)\/85) - -3*3. Suppose -5*o + 3 = -2*o - 3*y, 0 = 3*o + 4*y - 38. Solve 3*j + o = i, 9*j - x*j - 4*i + 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1890451 from 77450.\nAnswer: -1813001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-484)\/176)\/((-42)\/8 + 6)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggw when three letters picked without replacement from {w: 10, i: 1, g: 7}?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-14))\/((-18)\/63). Let d be (((-30)\/(-4))\/(-3))\/(110\/(-88)). Find the third derivative of -7*i**d - 11*i**t + 26*i**5 + 10*i**2 wrt i.\nAnswer: 1560*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, z: 1, u: 1, m: 1, n: 2, e: 1}. Give prob of picking 2 m and 1 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-4) - 4625\/(-74). Solve a = -14*h + h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 - 10 = 3*l. Calculate the remainder when 61 is divided by l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(17\/119*-7).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(95) - 1*sqrt(95)*-2))\/(sqrt(500) + 3*sqrt(500)*1)*-6.\nAnswer: -9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5548367*d**3*f**2 + 5*d**2*f**2 - 5*d**2*f + 103*d**2 - 67*f**2 + 3 wrt d?\nAnswer: 33290202*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -876, 811\/8.\nAnswer: -876, -3, 811\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from gghhhgg.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u. Let n be y(-3). Suppose 0 = -s - n*s. Let g(j) = j**2 + 8*j + 4. Let x be g(-8). Put -2, x, s in decreasing order.\nAnswer: x, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 62*y + 1077. Give c(-15).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - -4) + 1 + -2. Which is the nearest to -3\/2? (a) q (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3769*i**2*y**2 + 2*i**2*y - 965*y wrt y.\nAnswer: -7538*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -2. Let m = o + 6. Suppose -4*t = -m*a + 44 + 13, -21 = -a - 4*t. Solve c = -j + 2*c - 2, a = -4*j - c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m*(m\/(m\/m**(-25)))\/m*m\/(m\/(m**(8\/9)\/m))*m)\/(m**15*m*m**(-11)) assuming m is positive.\nAnswer: m**(-235\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*w = 188*w + 316. Calculate the greatest common factor of w and 790.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1229521 (c) -0.5 (d) 2.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3 - 13. Solve -6 = 2*x, -k*x - 4 = -2*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 2 + 0 + 3*u**2)*(2 + 22*u**2 - 15*u**2 - 6*u**2).\nAnswer: 7*u**4 + 12*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 - (-7 + -9 - (-5 - 7))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 6*l - 8. Let i be h(9). Let k = 29 - i. Let p = 17 - k. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8*i - 7. Let y be u(5). Suppose 5*w - 53 = t + y, -50 = -3*w + t. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -75065?\nAnswer: -75065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 2. Let p be h(-8). Let g = p - -11. What is the greatest common divisor of 20 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2 = 4*r. Suppose r*l - 103 = -x - 0*x, -179 = -2*x + 5*l. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 353344323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263200 rounded to the nearest ten thousand?\nAnswer: 1260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 2, 3, 2330.\nAnswer: 2, 3, 17, 2330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - w**2 - w - 2. Let s be m(2). Suppose -3*b - 7*b + 2070 = s. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/3 + 1)*-3. Suppose 2*s = -2*w + j, 0 = -5*s + 2*w - 4*w + 14. What is the third derivative of r**4 + 2*r**2 - r**s + 0*r**2 wrt r?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440*a**2 - 49*a**2 + 22*a**2.\nAnswer: -467*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) 6\/7 (c) 1\/2 (d) 4 (e) -2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/9*49\/(-2). Let z = l + 15. Suppose -z*v = -57*v - 21. What is the biggest value in v, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 180*c**2 + 42 - 23 to n*c**2 + a*c + z and give n.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21.25029 or 0?\nAnswer: 21.25029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2469*r*w**4 + 4*r*w + 9*r + 76*w**5 + 2*w - 163 wrt w.\nAnswer: 29628*r*w**2 + 1520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 11:58 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z. Let i(p) be the second derivative of -p**5\/40 - 2*p**3\/3 - 2*p. Let k(a) be the second derivative of i(a). Calculate k(h(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 90371385421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4\/2 - 24*b**3 - 332*b**2 - 1056*b - 968 = 0?\nAnswer: -22, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 3*f - 123 + 124, 25 = 5*l + 5*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11 and -3255.\nAnswer: -3266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 2*x + 0*x + (-2*x + 2*x + 2*x)*(-3 - 1 + 5))*(-10*x - 7*x + 3*x)*(-2 - 1 + 5).\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 1 + 27 + 0*r**2 - r + 3*r**3 - 4*r**3. What are the prime factors of m(0)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35976 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 26. Sort 0.3, -3, a, -2 in ascending order.\nAnswer: -3, -2, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2023 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8310\/177613 or -1?\nAnswer: -8310\/177613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q + 108*q - 155*q + 26*q + 26*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1494)\/960)\/((-117)\/52) and 95\/186.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-8) + (-28)\/(-8) + -37. Let w = 36 + h. Suppose w*f - 70 = -30. Solve 4*z - 5*z - f = -5*k, 0 = k - 3*z + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-21)\/(-4))\/7 + (-990)\/264. Sort 0.16, 1, -4.1, d in increasing order.\nAnswer: -4.1, d, 0.16, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*r - r + 18, -2*r + 51 = b. Solve -2*z = -10, z - r - 1 = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + (-3 - -2))*1. Suppose w = f - 4*n + 5, 5*f - 47 - 13 = 3*n. Suppose -g = -4*y - f, 75 = -g + 6*g + 3*y. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 4*v + 1. Let n be x(2). Suppose 0*j - 5*d + 1 = 2*j, 5*j + n*d = 10. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcbvpcbcbbbbbcb. What is prob of picking 2 c and 1 v?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 174771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 1020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 12:57 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from {b: 1, k: 2, n: 1, q: 1, j: 1, c: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.03 + 13. Let f = d - 0.37. What is the second biggest value in 0.08, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 3. Let u(s) = 2*s**2 - 31*s + 8. Let i be u(15). Determine n(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*x + 5*x - 78, 4*x - 128 = 5*u. What is the remainder when 184 is divided by x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109979*y**2 + 10026*y**2 - 3168*y**2 + 56535*y**2.\nAnswer: 173372*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -929 by -2.\nAnswer: 929\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 7. Let q(b) = -21*b**3 - 14 + 10*b + 34*b**3 - 2*b**2 - 12*b**3 + 17. Is q(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -5*r**3\/2 - 159*r**2\/2 - 198*r. Does 5 divide b(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**6\/840 - v**5\/14 + 25*v**4\/14 - 2*v**3 + 6. Let b(z) be the third derivative of n(z). Let b(h) = 0. What is h?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8*d - 11*d = -501, -d + 335 = 2*t. Calculate the remainder when t is divided by 61.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -10)*10\/(16 + -26)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427834703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**2\/8 - 51345*c\/4 - 589674 = 0. Calculate c.\nAnswer: -34184, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 3. Let q(l) = -l**3 + 5*l**2 + 5*l. Let i be q(6). Does 8 divide f(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (6*-1*sqrt(13)*-1 - sqrt(156)\/(-4*sqrt(48)\/sqrt(4))) + -1).\nAnswer: 125*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kff when three letters picked without replacement from {k: 2, h: 5, f: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5 + 12*v**4 + 80*v**3 - 500*v**2 - 750*v + 5000 = 0 for v.\nAnswer: -5, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-3)\/(-36))\/(-1)*2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s - 3*s**2)*(5 - 6*s - 5).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty ninths of a day in minutes?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37915.68 litres in millilitres?\nAnswer: 37915680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*i = -0*f - 2, 0 = 2*f - 5*i + 13. Solve 4*a + f = 5*y, 5*a + 0*y - 5*y = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1404131 - 80170\nAnswer: -1484301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62739\/22 - -2849. Calculate the common denominator of 79\/8 and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5070262 to the power of 1\/2, to the nearest integer?\nAnswer: 2252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -282267145*y**4 + y + 5086486.\nAnswer: -3387205740*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.762256 rounded to two decimal places?\nAnswer: -11.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15886 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 7575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/6*102\/(-340))\/(8\/6)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 10*k**2 - 11*k - 11. Let v be u(-9). Let a be (-2)\/v - (-102)\/14. Let m = -45 + 122. What is the highest common factor of m and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2. Let d = -14 + 10. Let m = 2 - d. Let z(f) = -8*f. Let o(i) = 7*i. Let t(j) = m*o(j) + 5*z(j). What is u(t(k))?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*o + 29*o + 68. Let y be (-6)\/o*-1*-10. Solve -4*g = -t - y, 0*t + 5*g = -t + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 5*t + 1. Let m be o(4). Solve 0 = 7*g - 2*g + m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -524915272 + -0.4\nAnswer: -524915272.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 730 + -705. What is the smallest common multiple of w and 205?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*x**2 + 627285*x + 250910.\nAnswer: 5*(x + 25091)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**4\/4 - 2*r**3\/3 + 482*r**2. Let q(p) = -p + 1. Calculate 5*q(n) + x(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1058, -2\/13, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 58 = 6*u, -273*u + 268*u + 46 = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 38 - 42 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110100 - -10111?\nAnswer: 111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.425559036 to three dps.\nAnswer: 4.426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 4. Let k(n) = -n**3 - 23*n**2 - 132*n + 3. Let z be k(-12). Solve z*h - 1 = -c, -9 = 4*i + h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 1. Let u(w) = w. Let c(g) = 2*m(g) + u(g). Determine c(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 715 + -564. What is the remainder when p is divided by 80?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12201*h**3 - 2*h - 12206*h**3 - 12214*h**3 + 2*h + 36622*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/3 - 8528*q.\nAnswer: 2*q*(q - 12792)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = l - 542, 14*l - 9*l = -10. Calculate the least common multiple of d and 204.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1067879055?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-10 - (-9 - -1 - -12)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77*(-126)\/5733*-52.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1174*k - 2*k**2 - 1174*k + 0*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 76073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**8)**31\/(p**23\/(p**(-3\/2)*p)) assuming p is positive.\nAnswer: p**(449\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -56, -158, -306, -512, -788?\n\"Answer: -2*u**3 - 11*u**2 - 55*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5\/3 (b) -3\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6178292 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22706287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19035 and 1727109.\nAnswer: 25906635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/74?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 899083337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.150213 litres?\nAnswer: 6150.213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = 13269 - 3133. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from {g: 1, b: 1, m: 4, v: 2, j: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 10*r + 1. Let n be k(-10). Solve 3 = 2*o - n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-71639)\/(-781) + -73 + 42\/33\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20, 2, 22, 40?\n\"Answer: -j**2 + 25*j - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -4) + (18 - (-7 + 5)). Solve -5*i - t = 4*s, -3*i - 3*s - 13 = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4838 and -590187\/122 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 10) to base 15.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5 + 6025362\/30. Let i = z - 105800. Let a = i - 53045. Round a to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-164)\/(-542430)*63).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34006036 to the power of 1\/2, to the nearest integer?\nAnswer: 5831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y - 23*y = 110. Let k be (-15)\/(-20) - 1 - 111\/4. Let q = k + y. Which is bigger: q or -8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2503*s = -32131 - 16874 - 11067 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 354 divide 508147253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/4 + 801*o**2\/4 - 1593*o\/4 + 795\/4.\nAnswer: -3*(o - 265)*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7832, 15817, 23802, 31787?\nAnswer: 39772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 59 + 123 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 492*c**2 - 610*c. Let h(m) = -6890*m**2 + 8540*m. Let j(q) = 4*h(q) + 55*z(q). Find the second derivative of j(a) wrt a.\nAnswer: -1000","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14376 is divided by 1100.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6690 is divided by 835.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429 = -4*b + 2*n - 209, 4*b + 478*n - 475*n - 200 = 0 for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*g + 8 = 0, 5*y - g - g + 24 = 0. Let r be (1\/(-2))\/((-2)\/(-4)). Which is bigger: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2*g)*(-2*g + 3*g + g) + 517 - 517 + 294*g**2 to h*g + o*g**2 + n and give o.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*x**2 + 0*x + 0.\nAnswer: x**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 35, 1\/6, -4\/11, -2\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -426, -430, -434?\n\"Answer: -4*p - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 95007.\nAnswer: 475035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.02, 1\/3, -55939?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(234) + sqrt(234) - sqrt(234)) + sqrt(234) + sqrt(234))\/sqrt(6))\/(sqrt(6)\/sqrt(2)*6)*-4 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000928714 rounded to 7 dps?\nAnswer: -0.0000929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 4*u + 10*u**2 - 7*u to the form c*u**2 + n + x*u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1418365 rounded to 1 dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1 = 3. Let i be 4\/(-6)*(-33)\/p. Suppose -5 = 2*z - i. Calculate the remainder when 5 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - 250\/(-35))*14. Let d(l) = 2*l**2 - 2*l - 4. Let p be d(3). Suppose 4*x + 4*y - 76 = 0, 5*x = -3*y + p + 79. Which is greater: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 6*b**2 - 11*b + 7. Let f be l(5). Is -25 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**4 - 58076*d**3 - 210481676*d**2 + 2320935020*d - 5066901600 = 0. Calculate d.\nAnswer: -7265, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -z - 3*m + 4, -2*m = 2*z - 8. Suppose 3*a + 4*o = -7, -2*a + 23 = -7*a - o. Let l be a*(-6)\/120 - (-84)\/(-16). Put z, -2, l in descending order.\nAnswer: z, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62629*j + 183403 with respect to j.\nAnswer: -62629","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 77*p + 2. Let n(w) = 199*w + 592. Let v be n(-3). Let u(k) = -155*k - 5. Determine v*c(z) - 2*u(z).\nAnswer: -75*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.13, 36\/25.\nAnswer: -1, -0.13, 36\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (7 - (17 - -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*u - 1)*((4 + 3 - 5)*(4*u - 3*u + u) + 0*u - 4*u + 5*u + 1 - 1 + u + 0 + 0 + 2*u + 4*u - u + 0*u)*(4 - 3 - 3).\nAnswer: -44*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 278 + -166. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156987785 minus 3.85?\nAnswer: -156987788.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*y + 11. Suppose y*v - 10678 = -918. What is v rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*o + 200776 = 160426 for o.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**4 + 1 - 1 + (4*h**3 + 9*h**2 - 9*h**2)*(-4*h + 0*h + 6*h))*(-h - 2 + 2 - 2).\nAnswer: -5*h**5 - 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 903.5589 rounded to the nearest 10?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, m: 1, f: 2, w: 1, n: 5, e: 1}. What is prob of picking 1 n and 1 m?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*g + 1010 = -20455 - 8439. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-15 - (10 + -5))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*y + 7711 = 0, 2*y + 3838 = r - 3*y. Is r 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 96639?\nAnswer: 3, 32213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*j**5*n + 12499*j**3*n - 3042*j + 129*n wrt j.\nAnswer: 880*j**3*n + 74994*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h. Let f(s) = s**3 + 17*s**2 - 2*s + 6. Let w(q) = f(q) + 2*m(q). Let y be w(-17). Solve -6*a + y = -9*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u - 8 = -20*u. Let z(o) = -o**2 + o + 1. Calculate z(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -3, 3.\nAnswer: -36, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 68 = 43. Is (-1)\/((-2 - -1)\/v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h**(2\/9)))*h)\/h)**(-1)\/(h\/(h\/((h**(-1\/11)\/h)\/h)*h)*h\/(h\/(h**(1\/3)*h*h))) assuming h is positive.\nAnswer: h**(-46\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*j**3*l + j**3*r + 6*j**3 + 2*l*r + 12 wrt l?\nAnswer: 12*j**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 4:47 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m - 3*m + (-2*m + 0*m + 0*m)*(0 - 2 + 0) + 0*m - m + 2*m + 7*m + 3*m - 2*m)*(0 + 4 - 3).\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.132 + 9609369130?\nAnswer: 9609369129.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - u = 65, -5*u = -16*r + 13*r + 61 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2 + 15*v + 4. Calculate the least common multiple of 14 and n(-7).\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-15)*1\/2*-2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -584 + 587. Let l(t) = 3*t**2 - 3*t - 2. Let b(p) be the third derivative of -p**5\/30 + p**4\/12 + p**3\/3 - p**2. What is c*l(a) + 4*b(a)?\nAnswer: a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 20 = 8*y. What is the tens digit of (0 - y\/2)\/((-2)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -397211 + 397211 + 2692*f**3 - 2095*f wrt f.\nAnswer: 16152*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62553 (base 7) in base 16?\nAnswer: -3c0f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 w when four letters picked without replacement from {w: 13, c: 5}?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 2*k = -20. Suppose 0 = 2*i + k - 8. Suppose 2*g - 6 = -3*t, -3*t - i = -2*t + 2*g. What is the smallest value in t, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 2137 - 33088. Let a = 5129 + u. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**2 + 6*u - 61. Give i(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 less than 639665931090?\nAnswer: 639665931089.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from titi. What is prob of sequence itti?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-66) + ((-161472)\/(-22))\/2. Suppose -14*q = -19*q + w. Suppose g - 5*i = -0*g + q, -i = -2*g + 1477. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -1379 + 175. Let d = j + -92. Let a = -43 + 53. What is the greatest common divisor of a and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 2*c + 31. Suppose c*l - 15*l - 14 = 3*f, 0 = 3*l - 4*f - 7. Solve d - 2*q + 1 = -0, -6 = -l*d - q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let f(y) be the second derivative of -47*y + 0*y**2 + 0*y**3 + 1\/12*y**4 + 0. Calculate h(f(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-143)*594\/36.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20\/77 + 2\/77. What is the third biggest value in n, 0, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -284904, -569808, -854712, -1139616, -1424520, -1709424?\n\"Answer: -284904*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 5 - 3)*(-2*f - f + 4*f) - 300*f - 103*f - 122*f)*(4*f**3 - 12 + 12) in the form i + q*f**2 + n*f**3 + s*f + h*f**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 6\/5*f**5 - 3 + 0*f + 0*f**2 + 0*f**3 - 1\/2*f**6 + 0*f**4. Factor j(n).\nAnswer: -3*n**4*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.2, -8, -2, -4.124?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3, 2, 1.3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 7*t**5\/4 + t**4\/2 - t**3\/3 + 21*t. Find the third derivative of s(k) wrt k.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*h + 102 + 238. Suppose -3*u - h*u + 5900 = 0. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1635*m**6 + 2265*m**6 - 478*m**6 - 4419*m**2 + 4417*m**2 - 1 + 801*m wrt m?\nAnswer: 410640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1552622 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725*s + 30 = 710*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19083527 is divided by 9541690?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 707 and 15857.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-4\/3)*j**6*(j*j**(-3)\/j)\/j*j**(-3\/8) assuming j is positive.\nAnswer: j**(31\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.161\nAnswer: 0.0322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23491 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 358.084 - 358. Let v = 0.212 + g. What is v rounded to two dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**5\/60 - 7*a**4\/8 - 2*a**3\/3 - 49*a**2. What is the tens digit of u(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(5307\/(-10) + 0). Let u = -90359\/24766 + x. Find the common denominator of 133\/12 and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21292655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1614*a**4 - 3*a**3 - 3*a**2 - 6*a + 269. Let f(o) = -o**4 - o**3 - 2*o - 1. Let i(b) = 3*f(b) - s(b). What is the third derivative of i(z) wrt z?\nAnswer: 38664*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve c + 706*b + 8 = 708*b, 10*b - 40 = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.13 (b) 1446\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 0.39912. What is p rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -560 + 2136. Let y = u + -1959. Let o = y + 1927. Round o to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297 and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -0.5 (c) -3\/5 (d) -7397 (e) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f + 5. Let h(i) = 0*i**2 - 7*i**2 + 2504 + 5*i**2 - 2504. Calculate x(h(r)).\nAnswer: -10*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -11*j**2 + 1103*j - 6478. Give q(94).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 816 and 1884.\nAnswer: 128112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4153 (base 10) in base 11?\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 + 211624*w\/3 + 423236.\nAnswer: (w + 6)*(w + 211618)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*u + 168 = -83*u + 95*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 18 = -2*k, 0 = 8*k - j + 1078 - 1164 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 238147 + -43034. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6398 divided by -931\nAnswer: 914\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6096 is divided by 381.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-15)*180\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -52242605?\nAnswer: -52242602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.333 + 0.3334162. What is o rounded to 5 dps?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 6*v**2 + 2*v + 5. Suppose 5*s - 3 = 27. Let u be m(s). Suppose -262*j + 286*j - 408 = 0. Calculate the greatest common divisor of u and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z = -137 - 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*f - 113*f + 122. Let h = -0.1 - -0.3. Let u = 3.4 - 3. Which is the nearest to f? (a) -0.2 (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1229*b**3 - 230*b**2 - 29 + 65 - 1236*b**2 - 36 wrt b.\nAnswer: -7374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 1113 - 1113 - 822*g**2 + 695*g**2. Let f(n) = -3*n**2 - 7. Give f(o(t)).\nAnswer: -48387*t**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sffzzw. What is prob of sequence sz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -22545202 <= -22545205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1310 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**5\/60 - t**4\/8 + t**3\/3 + 3*t**2. Let x be r(3). Let m = x - -111. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c + 2. What is the derivative of -2 + 2 + c + 4*v wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 319464.6034 + -319494. Let j = p - -29.3. What is j rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 6 - 2 + o**2.\nAnswer: -2*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**1)**35\/(((f**(1\/10)*f)\/f)\/(f*f**(-1\/16))) assuming f is positive.\nAnswer: f**(67\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.727272965 to 2 dps.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 2 - 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 32 + -1 + 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -430 - -2993\/7. Which is smaller: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-26 - (-95 + 41))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8813, 17626, 26439?\n\"Answer: 8813*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5748366 or -5748362?\nAnswer: -5748362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36599, -73126, -109679, -146270, -182911, -219614?\nAnswer: -256391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 107 + 61 = 0. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, u: 2}. Give prob of picking 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**2 - 5*z + 17. Calculate w(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*r + 3*j, 156*r - 5*j = 128*r + 26*r + 40 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-3 - -4) - -21. Suppose 2*i - n = 5*a + 148, -284 = -4*i - 4*a. Does 72 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(6\/11)\/s)\/(s\/s**(-6)))\/(s**(-2\/43)*s*s**(-11)\/s) assuming s is positive.\nAnswer: s**(2172\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 7*r**4\/3 + 7*r**3\/3 + 16*r. What is the second derivative of f(i) wrt i?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (189 + 476*a - 477*a - 61)*(-3*a - 3*a + 4*a).\nAnswer: 2*a**2 - 256*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -40. Suppose 4*o + 20 = 0, -s*o + 36 = 4*i - 6*o. Suppose 0 = -4*h + 2*w + 1393 + 133, -1909 = -5*h + i*w. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4282592*a**4*l - a**3*l + a**3 - 755*a**2*l + 1503*l wrt a?\nAnswer: 102782208*a*l - 6*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Let z be -4 + 2\/2 - -3. Let d(s) = -s**3 + 8*s**2 - 4*s - 23. Let u be d(7). Sort t, u, z.\nAnswer: u, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 24 + 9. Suppose -2*c = 3*p - 165, -2*p + 4*p - 110 = d*c. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 11*u - 14. Let i be s(11). Let o = -10 - i. Let z be (-5)\/(-5 + 3 + 1). Sort z, -3, o in descending order.\nAnswer: z, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2812 a factor of 744136748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 451491222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48.9999625 - 49. Round i to six dps.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (209 + 9*y + 6*y - 207)*(-4*y**3 + y**3 + 6*y**3).\nAnswer: 45*y**4 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(17\/(272\/20)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 + 5 - 5)*(1 - f**2 - 1) + (-3*f**2 - f**2 + 5*f**2)*(-4*f - 6 + 6)*(4*f - 5*f + 5*f) as n*f**4 + x*f + i*f**3 + a*f**2 + v and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/40 and 8\/(-800)*279 - -4.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469231447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from blbllbb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -26980*p + 134935. Calculate w(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.1. Let q = -0.391083 + -0.008917. Which is the nearest to q? (a) -5 (b) -0.02 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/72*-4)\/((-1)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 9*b - 7. Let c(y) = -y**3 + 7*y**2 + 11*y. Let x be c(8). Suppose -x = 3*w - 7*w. Is 11 a factor of j(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3 - 162776*d**2 + 14*d + 42248?\nAnswer: 12*d - 325552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14685302 and 266828.\nAnswer: 3254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.069, 1 in increasing order.\nAnswer: -2, 0.069, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*n**4 - 17*n**3 - 87*n**2 + 3*n - 1033029 wrt n.\nAnswer: -84*n**2 - 102*n - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46961*l - 1651 + 46961*l + 22*l**2 with respect to l.\nAnswer: 44*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130043127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 180938 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -557, -1113, -1669, -2225?\n\"Answer: -556*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1070 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 69 = -p. Suppose 3*a - 279 = -p. What is the highest common divisor of 28 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 4*b + 12*b + 9*b + b**2 + 3*b**3 as r*b**2 + t*b**3 + i*b + a and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -23. Let v = l - 27. Let w = 55 + v. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 4. Calculate the least common multiple of h(0) and (4 - (13 + -13)) + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -31*x**2 + 14*x + 16. Determine i(-2).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15460749?\nAnswer: 3, 1717861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -364 in 0.1, -1, -3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*g**3 - 2*g**3 + 2*g**3 + (-5*g - 2*g + 5*g)*(0*g**2 - 4*g**2 + 3*g**2))*(g + 2 - 2).\nAnswer: 4*g**4 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -29 + 3 + 0 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62 and 2?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 4. Let u be -1 - (1 + 0\/(-3)). Let f be s(u). Solve 0 = -5*x - 5*b - 30, -2*x = -0*b - f*b + 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 430 + -4?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5899.971l?\nAnswer: 5899971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -185.35+0.0986861\nAnswer: -185.2513139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 + 15*x**2 + x + 11. Let q be o(7). Let c = q + -47. Solve 5*z + 0*z = -c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 15. Let i be l(-11). Suppose 5*f - 10 = i*f. What is the lowest common multiple of 14 and f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00853879 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 91*t**2 - 1333*t + 658*t + 675*t. Let l(o) = 3*o. Give l(m(k)).\nAnswer: 273*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/40*8*5. Let o(s) = s**3 - 5*s**2 + 5*s - 3. Let u be o(y). Suppose p = -k - u, 3*k - 2*k - 5*p = 29. Solve -x + l - 3*l = 0, -2*l + k = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/6*-3*2. Let n be (-1)\/(-3) + 1\/t. Suppose -4 = -2*c - n. Solve -2 + 0 = c*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/3727, 3, -6, 0.06, 2, 1 in increasing order.\nAnswer: -6, -5, 3\/3727, 0.06, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*y - 15, -2 = -2*b - 3*y + 4. Suppose -f - 26 = -b*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.63 + -0.37. Which is the closest to -1? (a) 0.2 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2. Let n(z) = -2*z - 6. Let j(b) = -8*b - 27. Let y(w) = j(w) - 2*n(w). Calculate o(y(r)).\nAnswer: 48*r**2 + 360*r + 675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120454349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 10:29 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*j - 5133 = 0, -j = 4*z + 3 - 5130. List the prime factors of z.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162392215.\nAnswer: 5, 8521, 27283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 370*f + 8 - 35 = 366*f, -4*f + 52 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 9*c**2 + 10*c - 8. Let z be q(-10). Let g be (-6 - z) + (1 - 3). List the prime factors of (-84)\/(g + 4)*-1.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 - 26*o - 5. Let w be l(9). Let g(c) = -6*c**2 + c - 6. Let i(y) = -13*y**2 + 3*y - 13. Give w*i(q) - 9*g(q).\nAnswer: 2*q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 461*-343\nAnswer: -158123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117973, 235945, 353917, 471889, 589861, 707833?\nAnswer: 825805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c**2. Let x(d) = -89 - 377*d + 270 - 181. Calculate x(g(k)).\nAnswer: -3393*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200936600 divided by -100468300.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -3. Let j be -1 + 1\/(t\/(-1)). Sort 2, j, 5 in decreasing order.\nAnswer: 5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1066)\/(-861)*-7 + (-2)\/(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)*i)**28)**(13\/4) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -26498 to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/140*(-5)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4195, -139, 4, 1, -2, 3 in decreasing order.\nAnswer: 4195, 4, 3, 1, -2, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 36*q + 5. What is n(36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**2*a**(-7\/4) assuming a is positive.\nAnswer: a**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-3))\/(8\/(-24)). Let x be (4 - p - -1) + 1. Solve 0 = -x*i - 13 - 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 18*k + 0 - 7\/2*k**3 - 1\/8*k**4 - 39\/4*k**2. Let n(v) = 0. Calculate v.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 v when three letters picked without replacement from kvkkvkvk.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(4\/((-540)\/27))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 6*a - 3*a + (3 - 3 + 2)*(-3 + 3 + 2*a) - 3*a + 4*a - 3*a + 3*a - 4*a - a + 4*a - a - 2*a - 9 + 9 + 9*a.\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1101862*b**2*u + 666*b*u - 60*u wrt b.\nAnswer: -2203724*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1776568 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*s**2 - 2*s**3 + 2 + 3*s**4 - 38*s**2 - 1 in the form m*s**4 + o + n*s**3 + y*s + a*s**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**3\/3 + 5*j**2 - 25*j + 222. Factor g(w).\nAnswer: -(w - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5154, -20258, -45432, -80676, -125990?\n\"Answer: -5035*a**2 + a - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9283*r - 9278*r + 2*o - 15 = 0, -4*o = 3*r - 23 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 7 = p - 4*p, -11 = -3*p + 2*u. Suppose p*q - 36 = -0*q. Calculate the greatest common divisor of q and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*k + 59 = 1615*k - 11812. Let w(x) = -x**2 + 12*x + 9. Let t(b) = -2*b**2 + 25*b + 19. Let n(p) = 3*t(p) - 7*w(p). Give n(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4 - 169*m**2 - 166*m**2 + 327*m**2 - m wrt m?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092 = 1295*b - 203 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2)*(1 + -1). Let y(x) = 3*x**3 - 33*x**2 - x + 5. Let p(m) = -16*m**3 + 181*m**2 + 5*m - 26. Let z(n) = 2*p(n) + 11*y(n). Calculate z(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/(y**(15\/2)*y)*y**5)\/(y\/(y\/y**1))**(-36) assuming y is positive.\nAnswer: y**(71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 + -19. Let z = j - -6. What is the highest common factor of z and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 5, 6*t + 4*w = -0*t + 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 + -56. List the prime factors of 442\/8 + (-3)\/12*c.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -86, 4, 13, 2, -4, -731 in decreasing order.\nAnswer: 13, 4, 2, -3, -4, -86, -731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 1. Let i(c) be the second derivative of -c**3\/3 + c**2\/2 + 28*c. Let x(n) = 2*i(n) + 2*p(n). Let o(t) = -33*t. Give o(x(w)).\nAnswer: 66*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:34 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 2 - (-7 - -12).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1413 (base 8) in base 6?\nAnswer: -3335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 27 - 0*(-1)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 39724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 864 - 864 + 229245*q**3 - 229250*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/70 and -3\/341018630.\nAnswer: 2387130410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1344114 years in months?\nAnswer: 1.6129368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11399)\/(-2))\/(-1*(-17)\/102) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 191072719 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from {x: 1, g: 1, s: 3, k: 4, i: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbdbdddbb. What is prob of sequence dbb?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 12) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 89927, 89989, 90049, 90113, 90187, 90277, 90389, 90529?\n\"Answer: u**3 - 7*u**2 + 76*u + 89857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*i**3 - 7*a**2*i - 3*a**2 + a*i**2 + 28*i**3 wrt i?\nAnswer: -12*a**2*i + 2*a + 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 5:31 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -540 divided by 5.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56304977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*s**3 - s**2 + 197*s + s**2 - 421*s + 222*s.\nAnswer: 62*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.3595, -15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdtz when four letters picked without replacement from ydznztb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4356 and 260964?\nAnswer: 2870604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1292 and 1680?\nAnswer: 542640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - 2 - -179) + 15\/(-5) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 25.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2 - 7*y + 3. Determine s(-4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c - 21. Let k(q) = -2*q + 14. Let u(d) = -5*j(d) - 7*k(d). Let o be (-14)\/6*(-33)\/(-11) + 4 + 3. Give u(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5084.875l in millilitres?\nAnswer: 5084875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 679900 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1093 - 1091. Solve 4*b - a*b = -4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6927367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**5)**(16\/3)*p**13\/p**(5\/7) assuming p is positive.\nAnswer: p**(-190\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40.91 - 0.09. Let l = 40.99885 + f. Round l to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (3 + -5) - (-7 + -2 + 6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -128614912*s. Let c(b) = 2*b**2. Calculate o(c(y)).\nAnswer: -257229824*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/16)\/((1392\/96)\/29)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 9 (b) 0.4 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, d: 1, p: 1, w: 1}. Give prob of sequence www.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.18 + -0.62. Let s = -5.74 - h. Let a = s - 1.2. What is a rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7937.9 + -7935. What is the biggest value in -0.1, 0.27, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 19 + 0)*(0*k - 4*k + 5*k)*(-3 - 1 + 2) to the form s*k + v and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 66 + -42 + 4?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/340 and 73\/102?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4550356 or 4550369?\nAnswer: 4550356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-187)\/(-33) - 5)*3\/(-28).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 600072886 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/11)*i\/(i\/(i\/(i**(-2)\/i))))**(-41) assuming i is positive.\nAnswer: i**(-1927\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**5 - 745*r**4 - 8278*r**3 - 28688*r**2 - 30240*r = 0. Calculate r.\nAnswer: -5, -4, -2, 0, 756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 8 = 2. Solve -q + 5 = m + 4, c*q - 2*m = 18 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 - 4312 = -231*m - 665 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*i**3 - 7*i**2 - 13*i + 7 wrt i?\nAnswer: 84*i - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(567))**2.\nAnswer: 180*sqrt(7) + 2293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**3 - 13*s**2 + 5*s. Let q(x) = -2*x**3 + 7*x**2 - 3*x. Calculate -3*c(h) - 5*q(h).\nAnswer: h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2055 (base 6) to base 12.\nAnswer: -32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2020016 and 2644.\nAnswer: 2020016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -5, 2, 721, -7 in ascending order.\nAnswer: -7, -5, -1, 0, 2, 721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18902 = -751*m - 1804*m - 9203 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(55\/121)*-5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*(h*h**(1\/52))\/h*h*h)\/(h*h**(-1\/13)*h*h))**(-18) assuming h is positive.\nAnswer: h**(-513\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -6 + 36. What is the units digit of -2*h*56\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (5 + (-14)\/(3 - 1)). Solve b*g - 3*g = -5*r - 15, -g = r - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*(0 + sqrt(320) + sqrt(320) + (sqrt(320) - (0 + sqrt(320))**2)*2 + (sqrt(320) + 4 + 0 + sqrt(320))**2)*1.\nAnswer: 960*sqrt(5) + 3941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23640, 47191, 70752, 94329, 117928?\nAnswer: 141555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 1009*y**4\/12 - y**3\/6 + y**2\/2 - 23*y. Is k(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 h, and 1 b when four letters picked without replacement from {v: 2, c: 1, h: 6, p: 1, b: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q**2 - 19909*q - 24176 wrt q?\nAnswer: -2*q - 19909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -9\/1241, -41 in decreasing order.\nAnswer: -9\/1241, -5\/3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 155 = 6*n. Solve -n*f = -5*a + 5, 0*a - 2 = -2*a + 5*f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 76?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 11001*l**3 - 29*l**2 - 2097*l + 11. Let f(u) = 5500*u**3 - 17*u**2 - 1049*u + 7. Let q(s) = 5*f(s) - 3*p(s). Find the third derivative of q(v) wrt v.\nAnswer: -33018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {k: 1, r: 2, i: 2, u: 4, l: 1, v: 5}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 2. Let b be o(0). Let m = -8 - -12. Solve 0*i - 16 = -5*y - b*i, 2*i = -m*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2618267 is divided by 661?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -186.3763 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 9*q**3 - 15*q**2 - q + 31. What is the second derivative of m(a) wrt a?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 - 18*m - 12*m + 47*m - 2*m**3 - 106*m**2 - 12*m as h + b*m**3 + d*m + x*m**2 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -5, 0.1, 2\/53?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-2)*(f*f**(2\/17))\/f*f*f**3\/(f*f**(-2\/7)))\/((f**(1\/11)*f\/f**(-2\/13))\/(f**3\/(f*f**(-5)*f*f*f))) assuming f is positive.\nAnswer: f**(172869\/17017)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -242 - -326. Calculate the least common multiple of i and 27.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -176*k**2 + 32*k. Suppose -204 = -19*o + 404. Let j(h) = -27*h**2 + 5*h. Calculate o*j(g) - 5*w(g).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 - 2*i - 15*i**3 + i + 9*i**3 + 13 + 3*i**2 - 4*i**4 - 14 as c*i**3 + w*i**2 + y + j*i + b*i**4 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 167223 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - (sqrt(405) + -1)) + sqrt(405))**2 + 5 + (-1 + sqrt(245) + -1)**2 + 5.\nAnswer: -10*sqrt(5) + 665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9846361 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9809985263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 + -115. Let v be 112500018\/u + 4\/10. Round v to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200310 (base 4) in base 8?\nAnswer: 14064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-3))\/(2\/(-30)*5). Solve 0 = x*a - 55 + 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 628533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m**3 - 23*m**2 - 17*m - 18. Let c be j(-4). Solve -c*h - 19 = -3*w, 0 = 7*h - 4*h - w + 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*p - 0*w + 3*w, 5*w = -2*p - 5. Solve p = -3*i + h - 11, 3*i = 4*i - h + 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21563 by 3.\nAnswer: 21563\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - 34. Let v be 3*7\/(i\/(-8)). Suppose v*m = 6*m - 36. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 7*m = 105. Solve -4*g = g + m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 642 in 0.1, -0.1, 0.0699?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 80.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/(-180)*2540\/184 and 95\/138.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1128 and 367869?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - k + 1 + 3*k + 6 - 6 + (-2 - 2 - 2)*(-2*k - 2*k + 0*k))*(3 + k - 1 + 0) in the form m*k + o + p*k**2 and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 177\/2 and 88 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 + 115*b - 232.\nAnswer: (b - 2)*(b + 232)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -168, -171, -176, -183, -192?\n\"Answer: -p**2 - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.1 - -8.1. Let z = 0.118 - 3.058. Let y = z + -0.06. What is the biggest value in -2\/5, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78872899.12999994 + 78872898. Let w = k - -1.13. Round w to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5\/4, -0.4 in descending order.\nAnswer: 5\/4, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 16. Which is the nearest to -0.1? (a) 1\/9 (b) 2 (c) x (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 + y**2 + y + 2. Let c be l(2). Let h = 6 + c. Is h < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+34.43\nAnswer: 37.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265.49916 months to years.\nAnswer: 22.12493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -379*k**6\/60 - 833*k**5\/60 + 818*k**2. What is the third derivative of d(j) wrt j?\nAnswer: -4548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 745473*f**3 - f - 145724*f**3 + 5*f.\nAnswer: 599749*f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.16 (b) -14 (c) 4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/((-1092)\/(-13)))\/(18\/(-1386)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -100095 and -6.\nAnswer: 600570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 4. Suppose 22 = -t + 3*p, -4*t + j*p = 107 - 3. Does 8 divide 1 + t\/(-2) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*u + 8 = -0, l - 3*u + 13 = 0. Suppose -l*z - 5 - 1 = 4*m, m - 1 = 0. Let f = z + 16. Calculate the highest common divisor of f and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5871 and 42.\nAnswer: 82194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 10440000 to the nearest 100000.\nAnswer: 10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0.3. Let s be -1*((-1246)\/(-8) + 3). Let w = s + 158. Which is bigger: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*v - 6, -50*g - v = -54*g + 8. Solve 1\/2*k**3 + 3\/4*k**g + 1\/8 + 1\/8*k**4 + 1\/2*k = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -0.5, 10, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 0.08923470728.\nAnswer: 0.48923470728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkktkjxkjttxgktfjkjj. Give prob of sequence jxtf.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2 (c) 63.64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 28193 = 3*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.11063 - 0.51063. Which is the biggest value? (a) z (b) 0.5 (c) -1\/3 (d) 0.1 (e) 2\/97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + 2*-5*(sqrt(1331) + 1)*-3).\nAnswer: 125 + 1650*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjrrrqqr. Give prob of picking 1 r and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/3 - 3655*y**2 - 10956525*y - 5012024625.\nAnswer: -(y + 555)*(y + 5205)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 99523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 8*b**2 + 10*b + 12. Suppose -3 = 5*m + 27. Let l be n(m). Let g = l + 24. What is the lowest common multiple of g and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 461\/24 - 15523\/840. Let l = w + -3\/7. Suppose -p - 2 = 2*p + k, -22 = p - 5*k. Is l bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*k + 78 = 111*k. Suppose 9*l + 116 = k. Let b(o) = 4*o + 40. Let z be b(l). Solve z = -3*v + 5*u, 0 = 2*v + 4*u - 9*u - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65361\/34390 - -2\/3439. Calculate the common denominator of p and 37\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/205550?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*y - 5, 4*t = 137*y - 141*y + 40. Solve 2*i = 2*l + 12, -6*l + 4*l - 5 = t*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 404*f**2 + 1595*f - 10. What is h(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 57\/15 - (1 - 7\/35). Solve -p + 2*p = -x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 3:34 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4035659068?\nAnswer: 2, 7, 79, 103, 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0.8. Let v = -1 - 4. Sort -1, v, j in decreasing order.\nAnswer: j, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -10*y + 790. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 7 and 284\/49 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(-2))\/(1\/2). Let a = -4 + l. Is 3 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2. Let l(r) be the second derivative of r**5\/40 + 35*r**3\/6 - 44*r. Let c(x) be the second derivative of l(x). Calculate c(p(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 21.2. Let n = 23 + -24. Which is the smallest value? (a) n (b) -2\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6*b = -5*y + 7, 3*b + 2*y + 11 = 0. Let h = -1.24 - 0.76. Which is smaller: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, -3 in increasing order.\nAnswer: -16, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -76764, 2 in decreasing order.\nAnswer: 2, -2, -76764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**3 + 2*g**2 - g + 1. Let r(x) = 19*x**3 + 12*x**2 - 55*x + 5. What is -3*q(a) + r(a)?\nAnswer: a**3 + 6*a**2 - 52*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*j)*(-2*j + 10*j + 6*j).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 3, 23, 61, 123?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*g + 3*g - 11*g to the form w*g + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 460\/(-15) + (-6)\/(-9). Let h = n - 14. Let d = h + 45. Solve -q = -d*q + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, d: 6}. Give prob of picking 2 s and 1 d.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k**2 - 31241*k - 62483. Calculate d(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 6*d + 14. Let s be r(6). Suppose 0*m - s = -7*m. Solve -3*b**5 + 5 + 74*b**4 - 89*b**4 + 10*b**3 + 10*b**m - 15*b + 8*b**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 5*z**5\/4 - z**4\/4 + 5*z**3\/6 - 25*z**2. Is h(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*3\/6 - (-10 - -10). Let d(a) = 21*a**2 - a. Calculate d(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48902 or -5068?\nAnswer: -48902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -a + 4, -3*a + 11 = -k - 1. Suppose 7 - 1 = 3*m, 2*i + a*m - 10 = 0. What is the greatest common divisor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**5\/7 - 180*h**4\/7 + 4752*h**3\/7 + 325200*h**2\/7 + 90000*h = 0 for h.\nAnswer: -50, -2, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -310, -64, 2308, 8372, 19694, 37840, 64376, 100868?\n\"Answer: 261*c**3 - 503*c**2 - 72*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16203 is divided by 411?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 11:30 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**3 - 50*u**2 - 174*u - 62. What is o(13)?\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05169688 bigger than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66893 is divided by 836?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (-27)\/(-1 - -4). Let d = r - 7. Let k be 2\/(-4)*(1 + d). Which is the third smallest value? (a) 1 (b) -0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1478*x - 102*x + 11257 = 1905 - 14348 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*i - 10*i - 73*i - 496 + 2488 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1179\/11 - 107. Let h(t) = t**2 - 8*t - 2. Let k be h(8). Let p be k\/1*(1 + (-4)\/(-8)). Which is the smallest value? (a) 3 (b) 1 (c) y (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36777 - -4?\nAnswer: 36782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 81 in 2, -1\/23244, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g - 100. Suppose -x + 55 = 5*z, 9*x + 2*z = 7*x + 86. Calculate the greatest common factor of x and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19006 + 19008.7114. Let m = y + -0.0014. What is m rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -13 + (-1 - -8) - 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/2205 and -7\/135.\nAnswer: 6615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((120\/(-21))\/2)\/(5512\/(-182) - -30).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5 = -1. Is ((-382)\/b)\/(-3 + 49\/14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33136.\nAnswer: 2, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8927, -17048, -24353, -30842, -36515?\n\"Answer: 408*y**2 - 9345*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - n + 832 = 0, 3*w - 2*w - 5*n - 416 = 0. Let q = w - 584. Let u = q + 369. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) 56\/17 (b) 0.08 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 7*b**2 - 11*b**2 + 2*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38926, 311507, 1051370, 2492155, 4867502, 8411051, 13356442?\nAnswer: 19937315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 8:16 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4 - 4 + 5*x - 4 + 0. Let m be d(4). Find the common denominator of (-1)\/2 + 10\/m and 25\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 225 = -3*y. Let w be y\/(-6) + 4\/8. Solve 5*i + 27 = r, -w = 2*i - i - 4*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**4\/20 + 2*y**3\/5 + 6*y**2\/5 + 5*y. Factor f(z).\nAnswer: 3*(z + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31962 and 20478?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 11 = -d - 18, -f - 2*d - 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0582267 to four decimal places.\nAnswer: -0.0582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*q = -8*q + 34846 - 125638. Calculate the least common multiple of q and 2716.\nAnswer: 16296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -806668 - -806673. Let n = 3\/101 - -5715\/1414. Is g smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 - 60.909. What is l rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 - 61 = f. Let m be f\/(-12) - (-13)\/(-78). Let d be ((-36)\/m)\/(2\/14). What is the highest common divisor of d and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -307, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6)\/(1\/(-12)). Let q(j) = -j**3 - 1. Let o(g) = -3*g**3 - 4. Give h*q(s) - o(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(2 - 7\/3). Let y(q) = -q + 2. Let x be y(2). Suppose p - t - 11 = x. What is the remainder when p is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221 (base 3) to base 5\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16005054 (base 7) to base 2\nAnswer: -101110101110100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 3. Does 6 divide 1\/(b\/(-7))*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -89. Let u = b + -48. Let t be 6\/(-32)*(u - -5). Sort 0.3, t, -4, 1.\nAnswer: -4, t, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(76)\/sqrt(64) + -3 + sqrt(76)).\nAnswer: -6 + 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 - c - 2. Let y be t(-2). Let v be 992\/6 + y\/36. Suppose a = 3*n - 46, 1 = -2*a - 1. Calculate the highest common divisor of v and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m\/m**6)\/m)\/m)\/(m\/(m*m*(m*(m*m*(m*m**(1\/6))\/m)\/m*m)\/m))*m*m**(-21)*m**(-1\/13))**(1\/5) assuming m is positive.\nAnswer: m**(-1787\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*w + 2089031 = 239031. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 6*v + 4*l - 63, 5*l = -2*v + 42. What is the lowest common multiple of 69 and v?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1407*a**2 + 4*a**3 - 11*a**3 + 3*a**3 + 21*a**3 + 1406*a**2 - 2813*a**2.\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3*3\/(-2))\/(((-14835)\/92)\/43)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16949285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/19551 and -76\/147.\nAnswer: 19551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/((f\/(f\/f**(-1\/6)*f)*f*f*f)\/f))\/f)\/f**(-2))\/(((f*f**(2\/25)\/f)\/f)\/f**(-2)) assuming f is positive.\nAnswer: f**(163\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 u when three letters picked without replacement from {x: 1, n: 2, u: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*j + 46 = -0*j, 5*k = j + 59. Suppose k*u - 56 = 4*u. Suppose -g + 1 = -1. Calculate the remainder when u is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 11, 2, -23, -70, -145?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*q**2 + 0 - 2\/3*q**3 + 2\/9*q**4 - 2\/9*q.\nAnswer: 2*q*(q - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8118242?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 6*t**2 + t. Suppose 3886 + 1474 = 20*j. Suppose j - 288 = -2*f. Calculate the lowest common multiple of f and z(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3776141, 3776112, 3776083, 3776054, 3776025?\n\"Answer: -29*l + 3776170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 179 + -98. Let g = -57 + x. Calculate the highest common factor of 84 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 5. Let f(p) = 4*p - 5. Let c(m) = -6*m + 8. Let w(n) = q*f(n) - 5*c(n). Let s(u) = -20*u. Determine s(w(g)).\nAnswer: 40*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 71*k + 54*k - 3627 = 20*k for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 2\/9, -129, 306\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 525136472 and 8?\nAnswer: 525136464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -19. Let v(g) = -4*g + g**2 + 1 + s*g - 5. Let f be v(-7). Sort 0, -2, f in decreasing order.\nAnswer: f, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32220895 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 v = -8 + 11. Suppose 256 - 47 = v*m - 5*n, -335 = -5*m + 5*n. Suppose 5*w + 3*o = 58, 4*w - m + 20 = o. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/8 (b) 0.1 (c) 5 (d) 0.5 (e) -215\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2440947.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 301100 to the nearest 10000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/28 - (-34)\/70. Suppose -8*t = -10*t + 3*w + 15, -4*t = 2*w + 10. Sort t, 2\/19, d, -1.\nAnswer: -1, t, 2\/19, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 570.9 - 571. Let j = -7.24 - -3.25. Let f = -0.01 + j. What is the closest to a in 0.2, -1\/3, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - (((-62073)\/(-22))\/33 + -49)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - (-2248)\/10) + 76\/380.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64 in 3\/8, -0.12, 0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.066 (b) 6 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 - -45. Let w = l + 137. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 10, e: 4}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12494 and 32?\nAnswer: 199904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -25790 bigger than -25787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 5. Solve 0 = 2*w - n + b, -4*w = w + 4*n + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*u + 297 = -210*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*o + 752*o + 101*o.\nAnswer: 1000*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -674 + 1253. Let k = d + -399. What is the remainder when 29 is divided by 3*4\/18 + 3120\/k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -10. Suppose 5*c + 3*i = 4*c + 8, 4*c - 14 = -3*i. Calculate the highest common divisor of k and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 11:52 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 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: Calculate the greatest common factor of 15128 and 270072.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 21*d - 25*d. Suppose 15*q - 20*q = -d. Solve 2*m - a + 3 = m, -q*m = -4*a + 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 270\/(((-2)\/(-62))\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 579*w - 293*w = 290*w + 16. Which is greater: w or 3\/28?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 3*y + 36, -33*h - 23*h + y = -48*h + 51 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h*n**3*w + 2*h*n**3 + 7*h*n**2*w - 2*h*n**2 - 13*h wrt w?\nAnswer: 2*h*n**3 + 7*h*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -9*p - 7. Determine m(5).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -4. Solve -2*k = 2*f + 12, -2*k - o = -4*f + 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 16*g**2 - 16*g + 17. Suppose -l - 6 = -21. Let u be q(l). Suppose 2*d + u*d - 128 = 0. What is the remainder when 60 is divided by d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 0, -1, -6, 2 in ascending order.\nAnswer: -36, -6, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.3. Let r(i) = 2*i**2 - 46*i + 1. Let z be r(23). Which is the nearest to z? (a) w (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 328\/20 - (-4)\/(-10). Suppose 0 = 5*x - 9*x + i. Solve -x = 4*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 times 4402733?\nAnswer: 255358514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 290868563?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93723, -93721, -93719?\nAnswer: -93717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**3 + 10*c**2 - 24*c - 30. Let b(d) = -4*d**3 + 5*d**2 - 12*d - 15. Let x(t) = 5*b(t) - 3*q(t). List the prime factors of x(7).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.8*27\nAnswer: -75.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 579*h + 31432. Give f(-54).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 46*(-6 - (-85)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*((sqrt(2541)*1)\/(-1*sqrt(12)))**2.\nAnswer: -7623\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - g + 3*g)*(g - 9*g - 2*g) + (-1 - 3*g + 1)*(4 + 3*g - 4).\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18299628 and 10494?\nAnswer: 201295908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-2\/7))\/p*p\/(p**8*p*p))\/(p**(-1\/3)\/p*p*p*p\/p**(-2)))**(-28) assuming p is positive.\nAnswer: p**(1088\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30756263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 3 (c) -0.5 (d) -123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-161*u - 170*u + 247*u)*(0 - 2 - 1) as t + b*u and give b.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, e: 15}. What is prob of sequence eeek?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -756 equal to -752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -27*a**2 + 134*a + 34. What is f(5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -1. Suppose 10 = d - b. Suppose 0 = -z - 5*l - d, 2*z + 5*l + 15 = -2*z. Is z bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6180181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 7\/3 (c) -0.022 (d) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12623, 12620, 12617, 12614, 12611?\nAnswer: 12608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1537*f**3 + f**2 + 28984*f wrt f?\nAnswer: -9222*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 l when three letters picked without replacement from lllllllhlhlhlll.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 23194720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n - 50 = 4. What are the prime factors of (3 + n + -2)*(-2041)\/13?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/3))**(-35) assuming l is positive.\nAnswer: l**(-140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (-2)\/6)\/(45\/945). Suppose -5*k + s*k = 11201. What are the prime factors of k?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - 9656\/442) + -9.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -43. Suppose -5*f - 3*l + s = 0, -11 = -0*f + f - 3*l. Let q be (-3 + 5 + -4)*(2 + f). Sort q, -5, 1 in increasing order.\nAnswer: q, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -239 - 0?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*b + 55*b + 7*b + 17 + 42*b to the form k + f*b and give f.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**2 + 3*y - 21. Calculate o(4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -14*m + 2. Let z be j(-2). Let f = z - 26. Suppose -f*t + 195 = t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 - 7*x**2 - 2*x**4 + 5*x**2 - 2 + 0*x**2 + 3 as l*x**3 + t*x**2 + o + g*x**4 + b*x and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m. Let y(p) = 22 + 8*p + 24 + 18 + 21 - 82. What is y(x(b))?\nAnswer: -32*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -10*l - 1. Determine n(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2309901929 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 341 and 360 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12024 - 12023. Sort z, 5, -1, -4, -14 in increasing order.\nAnswer: -14, -4, -1, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-4.34\nAnswer: 21.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**(-9)\/m)\/m)**(-25)*m\/(m\/(m*m**28*m))*m*m*(m\/m**3)\/m assuming m is positive.\nAnswer: m**279","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1317, -1303, -1289, -1275, -1261?\nAnswer: -1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 32753000 to the nearest one hundred thousand.\nAnswer: 32800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 15*l**3\/4 + 40*l**2 - 65*l\/4 - 55\/2 = 0.\nAnswer: -11, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 4475775.\nAnswer: -7\/4475775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48.3021 and 5.\nAnswer: 241.5105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29146 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**4\/12 + w**3 - 6*w**2 + 401*w - 1. Determine v(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5406?\nAnswer: 2, 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 823 is divided by 141.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-418)\/(-121))\/19 - (-1456101)\/11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Let g be 3*((-6)\/(-2) - 4). Let t be f(g). Let n be (-6)\/34*(-4)\/t. Sort 2\/23, n, 0.4 in ascending order.\nAnswer: n, 2\/23, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5 - 88245*i**4 + 532040598*i**3 - 1194809983548*i**2 + 923356196510616*i = 0. What is i?\nAnswer: 0, 2402, 22209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8*r. Let s = 1 - -1. Let p(j) = -2*j**s - 3 + 3. What is p(y(t))?\nAnswer: -128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10*2\/(-1 - 3). Solve 5*y + f = 11 + 12, f = c*y - 27 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 + (-17)\/2. Suppose 0 = -93*b + 88*b - 10. Let t be (148\/y)\/1*b. Solve 5*h - 19 = 2*o, 10*h - 5*h = -4*o + t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 - 19*a**2)*(2*a - 4*a + 4*a)*(-1 - 2 + 1 + (2 + 3 - 4)*(-5 - 3 + 3))*(4 + 0 + 0).\nAnswer: 1064*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7946705 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: Simplify -4*-3*-4*(-1 + (2*(sqrt(20) + 5 - sqrt(5)))**2 + ((sqrt(540) + sqrt(540)*-1)\/sqrt(12))\/sqrt(9))*5.\nAnswer: -28560 - 9600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -398*d - 1964 + 1964 + (0 - 2 + 0)*(4*d - 6*d + 4*d) + (0*d + d - 2*d)*(-4 - 3 + 6) - 4 + d + 4 as t*d + r and give t.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 + -7 + (9 - 5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-2\/11)*r)*r**(1\/3))\/((r\/r**(2\/9))\/r*r*r\/(r\/r**(-2\/11))*r) assuming r is positive.\nAnswer: r**(-107\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3375, -3344, -3313, -3282, -3251?\n\"Answer: 31*s - 3406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 5*h = -2*p - 27, -2*h - 65 = -5*h + 58*p - 8*p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/370892 and -31\/278169.\nAnswer: 1112676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 166 = a + 3*o, 2*a - 335 = -5*o. Let z = 910 - 638. Let q = z - a. Does 26 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1336 - -802. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93032\/15 + -6202. Which is the third biggest value? (a) -50 (b) -30 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300.9 rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2990)\/270 + 52\/702 - 3\/(45\/(-167))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 1 - (37 + -34).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1114386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k + 5. Let i = -1 - -3. Let r = -2 - i. Let m be l(r). What is the highest common divisor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93\/5*j - 24\/5 - 78\/5*j**3 - 12\/5*j**4 + 3\/5*j**5 - 132\/5*j**2 = 0 for j.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, v: 13}. What is prob of picking 2 v and 1 l?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 896506 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 9. Let w be o(-8). Let n = 132 + w. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 26*i**2 + 2*i. Let r be j(3). Suppose 8 = -4*t, 2*v + r = -4*t + t. Is ((-17)\/3)\/(3\/v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*v**2 + 10132900 + 10132900 - 27*v**2 - 20265800 + 0*v**2.\nAnswer: -69*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 2\/19 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 7 - 2)*(151 + 45 - 11) + 1 - 2 - 2)*(3*g + g - 6*g) as j + s*g and give s.\nAnswer: 4446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4204 and -0.71.\nAnswer: -2984.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 + 5*g + 4. Let c(h) = -4*h**2 - 4*h - 4. Suppose -1 = -3*r + 5. Let v(l) = r*c(l) + 3*d(l). Calculate v(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -496685 less than or equal to -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 110119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.027276 and 0.2.\nAnswer: 0.227276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 3ac7bb?\nAnswer: 3ac7bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2526b48 (base 12) to base 14.\nAnswer: -d733ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 489\/979 + -4\/89. Let h(a) = a**2 - 2*a - 15. Let r be h(5). Let f be (r*(3 + -1*4))\/(-1). Is f bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -3*q + 35, 162*q - 167*q = -3*j + 21 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1737703 and -1737703 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -563.67 + -0.001.\nAnswer: -563.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 + q**2 + 0*q**2)*(64*q - 3*q + 41*q)*(7 - 7 - 3*q) to the form i*q + a*q**4 + h + f*q**2 + t*q**3 and give a.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1113 and 10176.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 696 = 4*b, 239*b + 332 = 2*w + 238*b. Suppose g - 4*r - 18 = 6, -3*r = 0. Calculate the remainder when w is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 12, -0.1, -98, 2, -216.8?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 12. Calculate the remainder when 10 is divided by r(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 4*y + 2. Let q(v) = 7*v**2 + 10*v - 5. Let t(s) = -10*j(s) - 4*q(s). Let b(n) = 101*n. Give t(b(o)).\nAnswer: -183618*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 20 = 4*r, -27*z + 23*z + 4 = 3*r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.31 + -150111\nAnswer: -150111.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18938033 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/3 - 14*o**2\/3 + 16*o\/3 + 32\/3.\nAnswer: 2*(o - 4)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -677014 times -0.0451?\nAnswer: 30533.3314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 10, -291, -4, 0 in ascending order.\nAnswer: -291, -58, -4, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 165*v**2 - 1685*v - 1845.\nAnswer: 5*(v - 9)*(v + 1)*(v + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-3\/5))\/f)**(-48) assuming f is positive.\nAnswer: f**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72291 is divided by 13425.\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -26 + 26 - (-5)\/((-10)\/(-12)). Solve n*d - 3*d + 9 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -6) + (-7 + 5 - (-9 - -19)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + u - 54, 3110*u - 3106*u = 2*w + 196 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - r - 4 + 5 = 0, 2*p - r - 7 = 0. Let b be 3 - (-1 + p) - 2. Which is smaller: b or 2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 13. Let m(f) = -26*f + 298. Let b(a) = 138*i(a) - 6*m(a). Let u(v) = -19*v - 7. Calculate 7*b(r) + 6*u(r).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 230373 and 251316?\nAnswer: 2764476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-one fifths of a second?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*t + 3*t = 3896, -4*h = 4*t - 3896. Let r = h - 528. Suppose 108 = -2*c + r. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -424 (base 5) to base 14\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**6*h**(3\/7))\/(h*h*h\/(h*h**(1\/4)\/h)*h*h*(h*h**(3\/2)*h)\/h*h) assuming h is positive.\nAnswer: h**(-359\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 826 and 1003?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = 5*g + 5*s, -4*g + 235 = g - s. Suppose 0*l = -6*l - g. Is l greater than or equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 0*s**5 + 0*s**3 + 10 - s**6 + 0*s + 0*s**4 - 5\/2*s**2. Find the second derivative of x(j) wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/q**9))*q*q*q**(-12)*q)\/(q**(1\/7)*q*q**(-1\/8)) assuming q is positive.\nAnswer: q**(-1009\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p - 4. Let t(j) = 2*j - 4. Suppose 2*o + 7*i = 6*i + 15, 0 = i - 3. Calculate o*z(r) - 5*t(r).\nAnswer: 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -531*n + 21003. Determine f(40).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 3:15 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-369)\/(-756) - (-8)\/(-14). Is z >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 z, and 1 b when four letters picked without replacement from bgobzjjozbjbzzsbbszo.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13519809)\/21*2\/4375080. Let h = 4\/28357 - m. Let o = h - 2\/45. What is the third biggest value in 3, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 - 2618940*k\/7 - 857355840450\/7.\nAnswer: -2*(k + 654735)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - 3*l + 3*l + (-2*l + 0*l + l)*(-1 + 0 + 0).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*-6*sqrt(1377)*1*3*-3)**2.\nAnswer: 578207808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-330813)\/(-354))\/267*(1 + -2 - -15).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24206 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbebbbb. Give prob of sequence bbeb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-18)*(1 - 15\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11362 and 138?\nAnswer: 34086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 833874.9 litres in millilitres?\nAnswer: 833874900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-3)*81\/(-45). Solve 0 = 4*p + 5*f + 16, 3*f + w = 2*p + 2*f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-4) - 181\/724.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f + 2. Suppose -4*k - 7 = -3*q + 2*q, q - 3 = 2*k. Let g = 21 + -73\/2. Find the common denominator of g and t(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*g - 137*g**2 + 132*g**2 - 3*g in the form f*g**2 + l*g + v and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 2*p**9\/945 - 17*p**5\/120 + 5*p**4\/2 - 25*p. Let x(j) be the third derivative of r(j). Differentiate x(v) wrt v.\nAnswer: 128*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 613.13499 + -0.13499. What is the third biggest value in -1\/12, a, 2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/(-63) - 31\/(-7). What is the greatest common divisor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 30 = -c. Suppose 0 = 3*h - 3*i - 156, -2*i + 0*i + 246 = c*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + d = 8, -5*j + 0*d + 3*d = 3. Let a(n) = 2*n - 1. Let o(k) = -k + 1. Let i(v) = a(v) + 3*o(v). Let h be i(j). Solve 20 = h*f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 3 = 3*g. Let k(a) = -38*a - 135. Let c(t) = -13*t - 45. Let r(b) = g*c(b) - 4*k(b). Is r(17) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508162491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -276, -67, 5\/4, -0.06, 4\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.074752 nanometers?\nAnswer: 0.0000000074752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5765 - 11105248788.\nAnswer: -11105248787.4235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: What is prob of sequence ole when three letters picked without replacement from jejeoejeeejfljf?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*r + 96 = 35*r + 28*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33980 divided by -16990.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7516 times 0.00746?\nAnswer: -56.06936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-20))\/((-2)\/(-8)*1). Suppose x + x = s*u - 20, -3*u - 2*x = -10. Calculate the remainder when 9 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 6*a**2 + 35. Let f(q) = 3*q. Give k(f(b)).\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62 or 78?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53\/4 of a century?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -129*p - 3768. Calculate o(-29).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -208*n**3 + 189*n**3 - 2*n**4 - 2*n**2 + 6*n**4 as w*n**4 + q + u*n + v*n**3 + s*n**2 and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 217210 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -133?\nAnswer: -5\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (860 - 852) + -3 + (-26 - 1 - -3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 l, and 2 h when four letters picked without replacement from hjwhwaahluha?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1444.9, -965 in descending order.\nAnswer: -2, -965, -1444.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -208 + 293. Let s be -80*(2\/(-4) + 0). Let r = y - s. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 40*d**2 + 106 + d - 108 to the form i + q*d**2 + b*d and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7903*q + 86910. Calculate m(-11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*o, -4*q - 4*o + 100 = -2*o. Suppose -6*n = -5*n - q. Solve 20*j**3 - 20*j - n*j**2 + 25 - 4*j**2 + j**4 + 4*j**4 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 4*t**2 + t + 3. Let l be m(0). Let n(k) = -k**3 - 4*k**2 - 3. Let z(u) = -4*u**2 - 2. Let f(j) = l*z(j) - 2*n(j). Solve f(g) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 3*m + 4*w, -4*m + 77 = -3*w + 4*w. Calculate the remainder when m is divided by (20 + 1)*(30\/9 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**3 + 46*s**3 - 22*s**3.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 0 + 1\/45*m**5 + 7\/72*m**4 + 0*m + 8*m**2 - 1\/9*m**3. Factor t(s).\nAnswer: (s + 2)*(4*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/(1\/(3\/(-6))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21726*a**2*q - 4*a**2 + 556*a*q + a + 18*q wrt a?\nAnswer: 43452*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27629.59615 - -27620.8. Let u = -8.8 - t. Round u to four dps.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.9031295 rounded to 2 dps?\nAnswer: 67.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -248 + 258. Which is smaller: 7\/81 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (7 + (2 - 7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 0.13, -2, 2\/3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.1 or -37\/4?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/3 + 3951990*j**2.\nAnswer: -2*j**2*(j - 5927985)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 5, 7, 1, 219, 2, 22 in ascending order.\nAnswer: -16, 1, 2, 5, 7, 22, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (66\/(-4))\/((-1)\/(-6)). Let z = 174 + v. Is 25 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 2*k - 3. Let j be y(-3). What is the common denominator of 17\/3 and 776\/j*(-9)\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 + 2*d**2 + d - 1. Let x be k(-1). Suppose 7 = 3*g + j, 4*g = x*g - 4*j + 18. Sort 5, -9, g in decreasing order.\nAnswer: 5, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41*m**2 + 44?\nAnswer: 82*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 7.1. Let j = 0.02 - 0.02. Let f = 3.8 + -4. Put f, d, j in increasing order.\nAnswer: f, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 202\/3 in -2\/9, 1, 627, -24\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 358558629 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15450, 15452, 15454, 15456, 15458, 15460?\n\"Answer: 2*x + 15448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 4, -107 + 85 = 3*z + 5*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 38*i**2 + 78*i + 78. Determine s(40).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -13 + (5 - 8) + 9.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1483\/130 + -111\/10. Let o = p + -131\/130. Find the common denominator of o and -17\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 7*b - 3. Let y be u(8). Suppose 3*o - y = -0*h + h, -4*o + 8 = -h. Suppose 0*d - d = -5*x - 8, 4 = -h*x. Solve -3*m + d = -12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66619\/4516 + 2\/1129. Calculate the common denominator of y and 49\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(475)*1 - (sqrt(475) + (5 + -3*sqrt(475) - sqrt(475))))**2*4.\nAnswer: -800*sqrt(19) + 30500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3241 - 2900. Calculate the highest common divisor of q and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14, 26, 34, 38, 38, 34?\n\"Answer: -2*t**2 + 18*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*k + 199 = 3*x, 0 = 4*x + 4*k - 804. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01887 rounded to 4 dps?\nAnswer: -0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-59)\/(-118))\/(184\/(-10)*(-60)\/(-24))\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 7*x + 8. Let u be d(-8). Suppose 2*g + u = -2*b, -2*b - 19 = 5*g + 12. Does 11 divide 1\/b*-3 + 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2791*l + 13669. Give r(-5).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 4*n**2 - n**2)*(-4*n**2 - 3*n**3 + 4*n**2 + 2).\nAnswer: 6*n**5 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*(sqrt(475)*2 + sqrt(475) + -2) + -3*(sqrt(475)*-2 + 1 + sqrt(475))*-5)**2.\nAnswer: -18810*sqrt(19) + 1544364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, f: 2, r: 1, z: 1, n: 1, s: 2}. Give prob of picking 1 z, 1 n, and 2 f.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40911, 163632, 368167, 654516, 1022679, 1472656, 2004447?\nAnswer: 2618052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p + 24 - 24.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 680*n = 675*n. Let u(f) = f + 4. Let s be u(-5). Suppose -m + 5*m + 5 = -t, -2*t - 3 = m. Which is the nearest to s? (a) n (b) -1\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 i when four letters picked without replacement from {c: 4, h: 4, z: 2, i: 8, j: 2}.\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8241 and 15.\nAnswer: 41205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159.9 - -160. What is the third smallest value in n, 0.5, 0, 6\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-1*4\/4*-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 + 439*c - 984*c + 544*c - 5. Calculate w(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 2*c + 2*c)*(-1 + 3 + 0)*(-2*c + 2*c + 2*c).\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11802*q - 11774*q = 308 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 4, 2, -8, 20 in increasing order.\nAnswer: -21, -8, 2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 41 - 17 - -12 - -8 - 15\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vse when three letters picked without replacement from {s: 1, v: 3, e: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + d**2 - 1. Let i(y) = -26*y + 610. Let f be i(23). Let u(j) = 12*j**2 - 12 - 10*j**3 - 11*j**3 + j**3. Give f*o(a) - u(a).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80959, 80868, 80735, 80560, 80343, 80084, 79783?\nAnswer: 79440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 3*t - 5*t)*((-2 - t + 2)*(-6 + 3 + 1) - 3*t + 2*t + 2*t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k + 13. Let j(n) = -6*n + 12. Let l(d) = -6*j(d) + 5*z(d). Let y be l(7). Let v = -3 - -2.5. Which is the smallest value? (a) v (b) -2\/17 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579*q = 562*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 14881 = -5*u, 3*u = -11*w + 10*w + 8932. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejv when three letters picked without replacement from vllfjlljeffl?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2*w - 1548. Let h = -477 + w. Let i be 12\/h - 8\/36. Which is the third biggest value? (a) i (b) -4\/5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddidbdcjbidddddb. What is prob of picking 1 i and 1 b?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5061 + -5060.97. Put -4, -0.5, 1\/6, q, 0.3 in decreasing order.\nAnswer: 0.3, 1\/6, q, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1645, -1458, -1139, -682, -81?\n\"Answer: h**3 + 60*h**2 - 1706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 699\/33 + (-4)\/22. Let q = d - 21. Suppose 3*w + 3*h - 366 = q, -2*w = -5*w + 5*h + 342. What is the highest common factor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = o + 31, 0*o = j - 2*o - 34. What is the remainder when 81 is divided by j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 91524350 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 - 5*u**2 + 11*u - 16. What is l(5)?\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/6 - 0)*2. Let f(u) = -d + 3 + 5 - 9*u + 11*u. Let g(j) = -j**3 + 12*j**2 - 11*j - 5. Let i be g(11). Determine f(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**3 + 1096*r**2 = 0.\nAnswer: 0, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48695933 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1076897 divided by 2\nAnswer: 1076897\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35605, -36191, -36777, -37363, -37949, -38535?\n\"Answer: -586*w - 35019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -16*c**2. Let o(j) = -4*j. Determine g(o(q)).\nAnswer: -256*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 272342359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-9)*q\/q**(-1\/10)*q**(4\/3)*q*q*q**(-9)*q assuming q is positive.\nAnswer: q**(-377\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 11*f + 16. Let u be (-1053)\/117 + (-4)\/2. Calculate j(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3403)\/328)\/83*(-520)\/5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h + h**2 - 4 + 5*h + 5. Let t(b) = -2*b**2 + b + 1. Let i be t(2). Does 9 divide p(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**5\/30 + 5*j**4\/12 - j**3\/3 - 1125*j**2. Determine v(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddopy. Give prob of picking 2 d and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**2 + 9*v + 4. Let j(r) = -15*r**2 - 19*r - 8. Let d(p) = -4*j(p) - 7*q(p). Is d(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 764*q**2 - 4*q - 1. Let h(s) = s**3 + 5*s**2 + 4*s - 1. Let c be h(-4). Is b(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*p - 104 - 25 = 0, 124 = 2*c + 4*p. Let w = c - 67. Solve w*t - 20 = 2*l, -3*t = -l - 3*l - 26 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 57. Calculate the remainder when (3\/9)\/(l\/(-45)) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - q + 1. Let m(f) = -f**4 - 9*f**3 - 9*f + 5. Let s(a) = 2*m(a) - 18*y(a). Differentiate s(t) wrt t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10712081 to 4 dps.\nAnswer: -0.1071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*(sqrt(192) + sqrt(192) + 0 + (sqrt(192) - (2 + sqrt(192)))) + 2)**2.\nAnswer: 128*sqrt(3) + 3076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i - 10 + 34 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 6\/4*14. Let d be (0 + (-2)\/2)*-160. What is the greatest common factor of b and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqlvvcvlvqlv. Give prob of sequence qq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.082 times -2518894\nAnswer: 206549.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54853 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 469.7 + -470. What is the third smallest value in -0.5, 2, 3\/14, o?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a + 33. Let y be m(7). Let z be y\/24*(-53 + 2). Does 8 divide 24*(-10)\/(-1)*17\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 81216.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 61. Let a = -23 + r. What is the second derivative of 3*j**5 + 5*j + 2*j**5 - 2*j**5 + 4*j**a wrt j?\nAnswer: 140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + -10 + (-10)\/(-2). Suppose 0*y - 5*q + 20 = y, -q = -3*y - g. Let r(v) = v**2 - 3*v - 2. Let x be r(4). Solve -c - 2*n = n - 1, 2*n + x = y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 35 = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 - -105. Solve 0*o = b*o + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.788 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -7*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91964 and 152?\nAnswer: 3494632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000064612 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/71))**35)**(4\/3) assuming k is positive.\nAnswer: k**(280\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1176)\/(-833)*-102 + 79?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-6))\/((-2)\/(-6)). Let h = 6 - 5. Suppose -33 = -3*r + 7*f - 4*f, 0 = 5*r - 4*f - 54. Sort -4, h, r, w in decreasing order.\nAnswer: r, w, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 27 = -5*a + 15, 3*a + 3*f = 30. Solve 5*i + 4*b = 3, -2*i - a*b = -4*b + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5*f + 355, -3*f - 89 + 2 = -z. What is the highest common factor of 25 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 4*r - 27, -187*r - 468 = -2*x - 1779 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*o - 436*o = -871*o + 494 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 2*s**4 + 0*s + 8*s**2 - 5*s**3 - 2*s**5 + 4*s + 11*s**3.\nAnswer: -2*s*(s - 2)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.93554 rounded to zero decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33867 - 18076. Let p = -758029\/48 + b. What is the common denominator of (-16)\/(0 - 3\/4) and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/5)*l)\/l**(1\/24)*((l\/l**(-7\/4)*l)\/l)**(1\/7) assuming l is positive.\nAnswer: l**(2311\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -2a?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -3 - 7) + -7 - (60 + -30)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 4 = -7*n. Solve -2*p + k + 0*k = n, 25 = 5*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4946341 >= 4946339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11315968 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 14. Let a = 7 - v. What is the first derivative of a*c**3 + 2*c**3 + 16 - 20 wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -10146263?\nAnswer: 10146262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*z - 3780. Let y = 15193\/4 - z. Calculate the common denominator of y and (14\/3)\/((-96)\/(-27)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1260336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 0.66, -0.7, 1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 350 = p. Suppose -9*h + p = -110. What is the remainder when 47 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 375102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 w, 1 q, and 1 j when four letters picked without replacement from {w: 4, q: 2, j: 3, e: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*n - 91 + 53 + 40.\nAnswer: -51*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 3*d - 1. Let q be 4\/(-2)*-1 - d. What is the derivative of 8*a**4 - 4*a**4 - 3*a**q + 2 + 3*a**3 wrt a?\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 7*n + 8 + (-2*n - 1 + 1)*(-2 - 4 + 3) - 45 - 5*n + 45)*(3*n**2 - 2*n**2 + 0*n**2 + (0*n - n + 3*n)*(0*n + 0*n + 2*n)).\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**5\/20 - j**4\/4 - 7*j**2 - 4. Let a(o) be the second derivative of v(o). Let k be a(2). Solve k = -5*x - 4 - 21 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -3, 0, 25, 84, 189, 352, 585?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + 1 - (-124 - -117)) + 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331.5783ml in litres?\nAnswer: 0.3315783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 - -39. Suppose -13*k + 17 + 22 = 0. Suppose k*l + b = 8*l. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 43 (b) 0.5 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1633, -4, 0, 28 in descending order.\nAnswer: 28, 3, 0, -4, -1633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c = -130. Let p = 4 + 1. Let g = p - c. 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 -2 divided by 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 4*r - 15. Let s be d(4). Calculate the highest common divisor of 425 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -4*y + 173. Let z = -19 + y. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*j - 68, 4*h + 5*j - 29 + 6 = 0. What is the least common multiple of h and 7?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000010001001 (base 2) to base 5.\nAnswer: 113413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*s - 1747, 5*s + 293 - 2474 = -4*o. List the prime factors of s.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.883 + 1419.283. What is i rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2951 and 1144?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 5. Suppose -i + 10 = -p. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -53 + (5 - -130)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*m = 186*m + 1824. Is m a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7780 is divided by 2256?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 48800889.9 and 0.177?\nAnswer: 48800889.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**2\/d)*d)\/d**8)**(8\/9) assuming d is positive.\nAnswer: d**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3065.72 * -0.1\nAnswer: -306.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*h - 3*h - 170, 2*h + 84 = 2*z. Calculate the highest common factor of z and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/18)\/(10\/(-60)). Let y = 154.815 + 32.185. Is c smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2058378 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6 - 3.9. Let n = -1.3000024 - k. What is n rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/4466*-12*1*1144\/(-104).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3 - 54*k**2\/5 + 27*k\/5 = 0. Calculate k.\nAnswer: 0, 3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnlnnrrllrlll. Give prob of picking 1 r and 1 l.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-174)\/203 - (-516)\/(-84).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**4 - 397433*d**3 + 12*d**2 - 7078913*d wrt d?\nAnswer: -12*d**2 - 2384598*d + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*f = -2*m - 244, 5*m + 5*f - 365 = 0. Is 39 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/3, 5.\nAnswer: -0.4, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_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: Round -67768.89 to the nearest one hundred.\nAnswer: -67800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27072*r**4 - 257225?\nAnswer: -108288*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -x + 345, -5 = -x - 0. Let o be (w\/(-10) + 6)\/(2\/(-4)). Suppose 3*a = -o*g + 5, -g + a - 1 = 2*a. Solve 5*h = 6*z - z - 25, -g*z = 3*h + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4)\/o**(-1\/8)*o**(-1\/2)*o**(1\/2))\/(o**(-3\/5)\/(o**(-6)*o))**(-32) assuming o is positive.\nAnswer: o**(5647\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2563237150?\nAnswer: 2, 5, 997, 51419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3 (b) 1189 (c) -0.5 (d) 4 (e) 0.25 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 117 + 18 = 0. Let s be 129\/r + 3 + 2. Sort s, -4, 3.\nAnswer: -4, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 740 + -583.66. Let a = -152 + y. Round a to one dp.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, 2\/95, 14 in descending order.\nAnswer: 14, 1, 0.1, 2\/95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -53538*x**2 - 9*x - 252. Let t(y) = 26770*y**2 + 4*y + 112. Calculate 4*m(b) + 9*t(b).\nAnswer: 26778*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47719 - 22209. List the prime factors of g.\nAnswer: 2, 5, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15790*t + 14 = 15783*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*i**2 + 154*i**2 - 584*i**2 + 144*i**2 + 144*i**2.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57048 is divided by 5958.\nAnswer: 3426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2265412713?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 z, and 1 a when four letters picked without replacement from {z: 1, m: 6, a: 7}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39768947?\nAnswer: 29, 1371343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1, 2\/7, 0.1 in decreasing order.\nAnswer: 2\/7, 0.1, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2930 divided by 5?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n + 3*n)*(185*n - 62*n + 353*n).\nAnswer: 952*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = k - 1, -5*q - 3*k = k - 10. Suppose q*t + 96 = 9*t. Suppose -4*d + t = -2*d. What is the least common multiple of d and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6*l - 162 = 0. Suppose 0 = 9*o + 775 + 1076 - 8871. Suppose 50*y - l*y = -o. List the prime factors of y.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 16*d**2 + 2*d - 2. Let o = -50 - -66. Let p be c(o). Suppose -26*h - 8 = -p*h. Sort 3, h, -32.\nAnswer: -32, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/3287266 and 33\/8816.\nAnswer: 26298128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Let q = w - 7. Let z = -2 - q. What is the third biggest value in -5, z, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from {z: 4, d: 10, e: 5}?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 7 + 252 = 5*n, 5*c = -4*n + 246. Calculate the lowest common multiple of c and 60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 921, 918, 913, 906?\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3144*l**4 - l + 6290*l**4 + 27*l**3 - 3147*l**4 - 2*l**2 to the form b*l**3 + v + k*l + r*l**4 + x*l**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/23 (b) 1\/20 (c) -2\/5 (d) 0.15 (e) 2 (f) 0.4 (g) -0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6020968 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2. Let l(d) = d**2 - 3*d**2 - d**2 - d + 2*d**2. Let f(z) = -7*l(z) - 6*v(z). Calculate f(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7530486 and -150672.\nAnswer: 7379814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 960.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = 4*i - 152, u - 2*u + 5*u + 2*u - 8 = -100 - 22 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3097395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/9)*c**(-2)*(c**(2\/21)\/c)\/(c**(-5)*c))**(-13))**(-1\/3) assuming c is positive.\nAnswer: c**(1079\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -9*d + 219. Let t be c(21). Solve 4*p = 14*p + t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176 + 2*x**3 + 303 - 127.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215250 != 2430499\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 295 (c) 3 (d) 2\/11 (e) -2\/5 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -401433*t. Let b(p) = -18*p**2. Give b(s(a)).\nAnswer: -2900672162802*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(4\/7)*s)\/s**(-3\/2))\/(s*((s\/(s**(4\/11)*s))\/s)\/s*s*s**(1\/9)))**(-1\/8))**(-40) assuming s is positive.\nAnswer: s**(23035\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**3\/6 + 2*b + 6894. Let c(o) = -1 - 2*o - 28*o + 4*o. Determine c(t(g)).\nAnswer: -26*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -l - 4*l - 22, -3*k = -2*l - 7. Let j(p) = 3*p**3 - 4*p**2 - 4*p - 4. Let b(n) = n**3 + n**2 + n + 1. What is k*j(y) - 4*b(y)?\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/4 - 110\/(-44).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 2*p + 3*o, 3*p - 2*o + 14 + 23 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = z - 3*z + 4*b, 0 = 2*z - b - 11. Suppose z*y + 12 = -4. Which is bigger: -26 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*r**2 + 27*r**2 - 1 - 13*r**2 + 11*r to the form w + k*r**2 + x*r and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 876937, -11, 4\/5.\nAnswer: -11, 4\/5, 876937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 14 + 68 + 67*s + 14*s**2 - 55*s. Let z be o(-5). What is the greatest common factor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from {x: 11, c: 3, z: 1, f: 5}.\nAnswer: 33\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 782 + -504. Let a = -148 + p. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*q + 8 - 78. List the prime factors of -956*(-4 + -1)\/q.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - f = 4*f + 5, -2*p = 5*f - 1. What are the prime factors of (-24)\/((3 - 3) + p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 26. Let z be t(-18). Let l be 8\/(z\/(-4)) + 37. Suppose 44 = 5*q - 3*y, 5*q - y - l = 15. What is the least common multiple of 22 and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 103*a**2 + 13*a + 19. List the prime factors of q(-4).\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/681 - -33413\/7491. What is the common denominator of -101\/38 and z?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 4*q + 4, 2*m - 2 = 12*q - 16*q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11850, -46958, -105320, -186936, -291806?\n\"Answer: -11627*c**2 - 227*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 7*r**3\/6 - 5*r**2\/2 + 12*r. Let y(n) = 4 - 20 + 9 + 9 - 3*n. Determine 4*v(t) + 9*y(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/7 - 116*b**3\/7 + 1562*b**2\/7 + 3480*b\/7 + 1800\/7 = 0. What is b?\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.27469 hours in weeks?\nAnswer: 0.69211125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 + 16 - ((36 - 39) + -1 + (3 - -7))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 32, 1, -3, 4, -6, -1 in decreasing order.\nAnswer: 32, 4, 2, 1, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190004021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00118125934 to 5 decimal places.\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 4*w - 137, -w + 25 + 6 = r. Calculate the remainder when 84 is divided by r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 518\/(14 + -88) + ((-12846)\/1856)\/(-1) and 43\/2204.\nAnswer: 17632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13591217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -3, 1\/212, 2?\nAnswer: 1\/212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -325*h - 359*h - 40 + 688*h to k + o*h and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 - -1 - ((252 - 682) + 446)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 8963 = 36563. Differentiate 6900*v - 38*v**2 - 32 - y*v with respect to v.\nAnswer: -76*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 116757741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-162)\/(-9))\/(-180)*14*1\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2184105 and 23555?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6593 + 6592.7. Which is the nearest to 0.2? (a) t (b) -2\/1495 (c) -1\/9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/15 - 116*j\/15 + 4862\/3.\nAnswer: -2*(j - 85)*(j + 143)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*q - 2795 = 0, 4*q + 4195 = -3*d + 8*q. Let x = d - -11173\/8. Find the common denominator of x and -79\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111059055 divided by -17\nAnswer: 65356415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 + 81 = -x, -5*o - x = 2*o - 75 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*m**3*q**2 - m**3*q + 31*m**2*q**2 - 9*m**2 wrt m.\nAnswer: 516*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2404 = -4*d, 8 = 2*d - 0*d. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 9. Which is the nearest to 1? (a) -2\/15 (b) 5\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5*(-42)\/35 - -9)*8. Let p(j) = 2*j + 26. Let a be p(0). What is the highest common factor of v and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(3\/4)*t)\/((t*t*t**6*t)\/t))\/(t**(1\/4)*(t*t\/(t*t*t*t*t\/t**(-4))*t)\/t) assuming t is positive.\nAnswer: t**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, e: 6, w: 4, n: 1, s: 7}. Give prob of picking 2 q, 1 w, and 1 s.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from rrraaqrrarraraaaraaa?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89678 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/3 - 124826*v**2\/3 + 1872149*v\/3 + 1996976\/3 = 0.\nAnswer: -1, 16, 124811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + p**2 - p - 3. Let x be t(0). Let w = -28 + -59. Let o = 84 + w. Are o and x nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1131 + -806. Let i = -196 - -130. Let p = i + q. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9aa36 - -a?\nAnswer: 9aa44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*k - 106, -3*k - 47 = -k - v. Is 11 a factor of ((-139)\/5)\/(1\/k*5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.93316 weeks in milliseconds?\nAnswer: 4193175168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a528775 + -10?\nAnswer: 1a528765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481925 is divided by 40157?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -2\/11, -9\/5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 5*x + 3*x - 2, 2 = 3*z + x. Let r(u) be the third derivative of 0 + u**2 + 0*u + 1\/3*u**3 + 1\/30*u**5 + 1\/24*u**4. Determine r(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 258398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-147)\/784)\/(6\/(-8)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54236 is divided by 3187?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (425 - 104*d - 139*d**2 - 427 + 140*d**2)*(-2*d - d + 0*d) to the form q*d + r*d**2 + p*d**3 + w and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*o, o = -2*b - o + 144. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + 7*p - 36. Is 8 a factor of z(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -477398 - -477401.199792. Let d = -3.2 + r. What is d rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 7:20 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 - 6.3. Sort p, 3, 0.2 in decreasing order.\nAnswer: 3, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60266 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 r when four letters picked without replacement from zrrzrzrrzzzrz?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29887.28km?\nAnswer: 29887280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 - 16 = 0. Let t = j + 1. Let y(l) = 5*l**2 - 3*l - 4. Let w be y(3). What is the greatest common factor of w and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 18*w - 12. Let a be -4 + 11\/3 - 102\/(-9). Let i be q(a). Let r = i + 62. Solve -r*o + 6 = -2*n - o, -4*n + 4*o - 12 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 568.4976 hours?\nAnswer: 2046591360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 931 - 927. Let n(o) be the second derivative of 1\/12*o**f + 0 - 1\/9*o**3 - 2*o - 1\/60*o**5 + 0*o**2. Factor n(v).\nAnswer: -v*(v - 2)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 7. What is g(19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32, -49, -66, -83, -100?\n\"Answer: -17*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -32 - (-9 - (1 - (-14 + 17 - -14)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -779 (base 14) to base 15\nAnswer: -689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g. Let j(k) = -k - 11. Let s(d) = -6*d - 31. Let h(b) = 17*j(b) - 6*s(b). Calculate 2*h(o) - 11*n(o).\nAnswer: -6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 35*v**3 - 476*v**2 - 4. Let h(l) = -l**3 + 8*l**2 - 1. Let m(g) = 4*h(g) - z(g). What is the third derivative of m(c) wrt c?\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2376, -12\/7, -8, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*1*-4)\/((sqrt(280)\/sqrt(5))\/sqrt(8)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(10) + sqrt(3))*2.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.505728 litres to millilitres.\nAnswer: 8505.728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3149.\nAnswer: 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x + 50. Let g be a(0). What is the greatest common divisor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1140)\/(-5)*(-74 + (-14240)\/(-192))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53653793*k**2 + 136096527*k.\nAnswer: 107307586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 406512702 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: b\"What is the pth term of 386, 385, 384, 383, 382?\n\"Answer: -p + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 4*c**2 + 3*c - 3. Let s be j(2). Suppose -s*p = -1190 + 179. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/26 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.3, -5, 1, -637, -74 in descending order.\nAnswer: 2, 1, -0.3, -5, -74, -637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyiykhk. What is prob of sequence kyk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j - 8*j = -60 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -117\/34? (a) 0 (b) -1 (c) 11306\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 134.7 times 3\nAnswer: 404.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 2*u + 4. Let j be x(0). Which is smaller: j or 6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/45 and -43\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.393737 months to decades.\nAnswer: 0.211614475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3 - 0. Find the common denominator of (4\/(-96))\/((-5)\/2*1\/(-205)) and ((-2)\/(-24))\/(g\/(-66)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 9*a = -35. Let i = 10 - a. Solve -i*j = -5*x - 40, 4*j = -j + 4*x + 45 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16163 and 8.\nAnswer: 129304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 7. Let t be m(-5). Let k(u) = 0*u - u - t*u + 6*u. Let o(q) = -2*q. What is k(o(y))?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 224? (a) -2\/9 (b) -3\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30674, 30681, 30692, 30707, 30726?\nAnswer: 30749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 20*o**2 + 24*o - 15. Let t be q(-21). Let z = t + 144. What is the remainder when z is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24364 is divided by 102.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.71975 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/63 - 44\/(-36) - (-174)\/6. Let q be (4 + -1)*(-90)\/(-2). What is the greatest common factor of y and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((2*(sqrt(1584) - 5*sqrt(1584)) - sqrt(1584))*4 - (sqrt(1584) - ((sqrt(1584) - (1 + sqrt(1584) + 5) - sqrt(1584)) + sqrt(1584)))*-2))**2.\nAnswer: -8976*sqrt(11) + 1831225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12747 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.00792 + -1123.79208. Round k to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 75 - (21 + -25)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -681282?\nAnswer: 681281.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30661\/30 - -6173\/6. Let d(l) be the first derivative of 0*l**4 + 34 + 0*l**2 + x*l**5 + 0*l + 4\/3*l**3. What is the third derivative of d(q) wrt q?\nAnswer: 816*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53289 and 3158559?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 8 - 7*s**2 - 14*s**2 + 20*s**2 + 5 - 18.\nAnswer: -s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + s - 18 = 0, -20 = -5*r - 2*s + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/105*14\/4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/7 + -19\/28. Let d(z) = z**3 + 8*z**2 - 19*z + 5. Let v be d(-10). Which is the nearest to 2? (a) -4\/3 (b) v (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 21 = 2*k, -4*i + 2103*k + 26 = 2101*k. Sort -2, 524, i in increasing order.\nAnswer: -2, i, 524","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 2 = -2*n + 4*w, -4*w = -5*n - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 4*f - 6 - 13, 2*z - 2*f + 12 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 310423307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (346\/10)\/(((-15)\/375)\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j + 515733 = 518001 for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*p**2 + 47 - 47.\nAnswer: -113*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8820.1005 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 37*m**2 - 22*m**2.\nAnswer: -55*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inkmdcm. What is prob of picking 1 d and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-6 + -1 + 5)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -16. Let h be g*(15\/(-6))\/5. Determine f so that -2 - 12 + h + 3 - 15*f + 5*f**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381.4912km in meters?\nAnswer: 381491.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/9, 0.4, 404, -4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5749 - 2990 - 3057)*(7*y - 3 - 5*y - 5*y) to x + m*y and give m.\nAnswer: 894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4616, -2\/5, -2\/3?\nAnswer: -4616","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0253733515 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*h = 4*y - 13015, h + 9785 = 3*y. Let u be -2 - 5\/((-25)\/y). Let f = u - 383. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrrllbqa. What is prob of sequence qa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94353393?\nAnswer: 3, 47, 669173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 632*x + 628.\nAnswer: 4*(x + 1)*(x + 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1630169*g - 1630169*g + 9*g**3.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, l: 8}. Give prob of sequence lk.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 179*a**5\/20 - 79*a**2 - a + 187. What is the derivative of s(n) wrt n?\nAnswer: 537*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 10:41 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2727943*d. Give c(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2123121200201 + -11?\nAnswer: -2123121200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -886341.\nAnswer: -886340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -557223 divided by -6.\nAnswer: 185741\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23a83 (base 12) to base 16.\nAnswer: bc43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 92626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-38 - -45) + -3 + -9 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 788283 or 788324?\nAnswer: 788324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 17*z + 8. What is m(-16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*l*w**3*y - 2832*l*w**3 - l*w**2 + l - 2*w**3*y + w**3 + 34323*w**2*y wrt w?\nAnswer: -234*l*y - 16992*l - 12*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 924 and 1428?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13\/3, 2 in decreasing order.\nAnswer: 2, -3, -13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 3, o: 2, r: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 + 19*h**2 + 11*h + 20. Let c be j(-9). Let m be (7 - 0)*c\/1. Suppose 4*r = -2*p - m, r + 6 = -p - 0. Are p and -8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1834*v**2*y**4 - 10*v**2*y - 233*v*y**2 + 10 wrt y.\nAnswer: 44016*v**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-895)\/((2\/4)\/1). Let y = -2525 - w. Let h be y\/(((-3)\/(-400))\/(-1)). Round h to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -796 + 849. Find the third derivative of -58*k**4 - 2*k - 23*k**2 - 40*k**4 + 144*k**2 + w*k**4 wrt k.\nAnswer: -1080*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 68.19 to the nearest integer.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -5*x**3 + 35*x + 67 + 43 + 0*x**3 - 79. Differentiate z(j) wrt j.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.308644g to nanograms.\nAnswer: 5308644000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000488 to 6 dps.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*m - m + 0*m)*(6*m**2 + 3*m**2 + 0*m**2) - 38*m**3 - 17*m**3 + 70*m**3)*(-1 + 3 + 0) in the form t*m**3 + a + b*m**2 + v*m and give t.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven quarters of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 81*l = -76*l + 17, 0 = 2*n + 2*l + 10. Let d(y) = -y**3 + y + 1. Give d(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)*(i**22\/i*i)\/i)\/(i**(-1\/30)*i**(-12)) assuming i is positive.\nAnswer: i**(2993\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.67 - 32.33. Let z = w + 37. What is the third smallest value in 0.2, z, 11, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00714 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from wwwbwbbwwwbwbwbwtw?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 1. Let s(u) = -6*u - 2. Determine -p(c) - s(c).\nAnswer: 5*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 48. Let c be v(-16). Suppose -28*w = -c*w + 204. Suppose 4*m - 25 = w. Calculate the remainder when 31 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -768 + 770. Put -0.5, x, 3, -127 in descending order.\nAnswer: 3, x, -0.5, -127","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46338305 to the nearest integer?\nAnswer: 6807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 143, -3 in descending order.\nAnswer: 143, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, -102, -37, 0.18, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*d + 5*d + 11*d)*(-1 + 6 + 1) - 2*d + 0*d + 4*d to y + b*d and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 9 - 43*y**3 - 6 + 10 + 10*y**2.\nAnswer: -43*y**3 + 10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-15 - -7)) + -14\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (329 - 329 - 20*i)*(-3 + 3 + 2*i)*(-3 + 8 + 0).\nAnswer: -200*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1032*r**2 - 583*r**2 - 456*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2805734, -11222923, -25251572, -44891681, -70143250, -101006279, -137480768?\nAnswer: -179566717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102\/115 - 48\/23. Let m(x) = x + 5. Let s be m(-7). Which is greater: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23b (base 12) to base 9\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2\/5 - 206*h\/5 - 4356\/5 = 0.\nAnswer: -18, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2. Let b(j) = 17*j**2 + 2*j + 3. Let a(u) = -u - 1. Let l(k) = 3*a(k) + b(k). What is p(l(z))?\nAnswer: 289*z**4 - 34*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3*t - 3*t - 3*t**2 - 2*t - 3 in the form s*t**2 + u + b*t and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3240556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/312780 and 127\/390?\nAnswer: 312780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1708580 and 3075444?\nAnswer: 15377220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 2*x - 4*x)*(21197 - 12183 - 11115) as u*x + l and give u.\nAnswer: 6303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9821 rounded to 1 dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46756 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1188 - 3252 + 273 - 2427 - 2418)*(-2*b**4 + 0*b**4 + 5*b**4)*(-b + 1 - 1).\nAnswer: 19908*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2284407 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 6, i: 12}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98449767 and 4596?\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*r - 66. Find the second derivative of r*p**2 - 12*p**2 - p + 5*p + 6*p**4 wrt p.\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86520 not equal to 86520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 36 = 2*r + 34, 8*m - 4 = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 4d?\nAnswer: -4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3*a - 180, 84 = 4*b - 5*a - 159. Suppose 4*p = i - 19, -i = 4*i - p - b. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (117\/(-36))\/((-17)\/(-12) - 1). Which is smaller: -7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 58754 and -44295.\nAnswer: 14459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express r + r + 0*r + 6*r - 4*r - r + (-2*r - 2*r + 6*r)*(1 + 0 - 2) - 2*r + 4*r + 0*r - 627*r - 1637 - 82*r + 1638 in the form n*r + s and give n.\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3613041 + 3611801 = 124*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s + 6. What is l(-7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, l: 6, e: 1, x: 3, f: 2}. Give prob of picking 3 x and 1 e.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 y when three letters picked without replacement from {g: 9, y: 1, t: 2, i: 4}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 888 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = 20*x - 48 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2025 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 2 (b) -3\/2 (c) 507 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2857 divided by 47472?\nAnswer: 2857\/47472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - t**2 + 3*t**2 + 0*t**2. Let c(a) = 3*a**2 - a. Let v(y) = -3*c(y) + 2*s(y). What is the second derivative of v(z) wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -367, -1520, -3449, -6160, -9659, -13952, -19045?\nAnswer: -24944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 106*x**2 - 1032*x - 356. Determine f(115).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4491 divided by -3.\nAnswer: -1497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 7*o - 13. Let h be s(-9). Suppose -4*r + i + i + 62 = 0, 0 = i + h. Suppose 3*w - 35 - r = 0. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + b + 26. Suppose -88 + 97 = i. Calculate f(i).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 226, 7, 5, 3 in ascending order.\nAnswer: -21, 3, 5, 7, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3983.6 from -491.\nAnswer: -4474.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 396, 880, 1536, 2352, 3316, 4416?\nAnswer: 5640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3\/4 - 9*x**2 + 36*x - 48 = 0. What is x?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3511\/4 + 877. Let w = 0.1 - -0.9. Which is the nearest to 2\/3? (a) m (b) w (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15040)\/(-20))\/(-8)*(630\/180)\/(14\/6)\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -21*d + 3. What is the remainder when t(-2) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/9*q + 4\/9 + 8\/9*q**2 + 8\/9*q**3.\nAnswer: 2*(q + 2)*(2*q - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 3*g**2 + 3*g. Let l be s(-2). Is -3 - -1 - (-57 - l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 8 - 39*v**2 + 40*v**2 to the form r + t*v**2 + w*v and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17347.5 - 17347. Let h = 0 - -0.1. Which is the third biggest value? (a) h (b) m (c) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, l: 8, r: 7, v: 1}. Give prob of picking 1 m and 1 v.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2\/7, 7\/4, 0.31?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/12)\/((-483)\/46).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 19*n + 2. Let v be -3 + (-39)\/(-12) + 1001\/(-52). Calculate d(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, m: 4}. Give prob of sequence mm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22318907.\nAnswer: 13, 1716839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105 a factor of 16986060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1466*a**2 + 125571 + a - 2*a - 125861 + 2*a wrt a?\nAnswer: 2932*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -586 - -588. Which is the closest to v? (a) 5 (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 162?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9704032 and 114.\nAnswer: 553129824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 302 or 296?\nAnswer: 296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2410.2 and -3368.\nAnswer: -957.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -490, -402, -290, -142, 54, 310?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 2:47 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, k: 7, y: 1, w: 5}. What is prob of picking 2 k?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*d**4 + 35\/4*d - 35\/4*d**3 - 1\/4*d**2 + 0.\nAnswer: d*(d - 35)*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211100112 (base 3) to base 15.\nAnswer: 4c65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -713*b - 52*b - 17595 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80040 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 27 * -0.16\nAnswer: -4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.4500309873 + -993.5499397527. Let p = 997 + o. What is p rounded to 6 dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 - 2*r + 7. Let k(y) = -7*y**2 + y - 14. Let b(q) = -3*k(q) - 5*l(q). Determine b(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 11:09 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1146, 4, -5 in ascending order.\nAnswer: -5, 4, 1146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 2 + 13*o + 0*o**2 + 0*o**3 - 7\/4*o**4. Let f(k) = 2*k**2. What is v(f(d))?\nAnswer: -84*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18269020 by -4567255.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 3:00 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (206 + 442*n - 76 - 125)*(3 - 4 + 0) in the form h + q*n and give q.\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*((2 - r - 2)*(1 - 2 + 3) - r + 0*r + 0*r - 1 - 2*r + 1).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53 + 6935.\nAnswer: 6882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + b**2 + b + 1. Let p(u) = -6*u**3 + 7*u**2 + 7*u + 7. Let o be 3 + ((-8)\/4 - 0). Let s be o\/3 - 21\/9. What is s*p(k) + 14*y(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.865 and -0.2411?\nAnswer: 0.6907515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 381, 718, 1065, 1428, 1813, 2226, 2673, 3160?\n\"Answer: z**3 - z**2 + 333*z + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 91*x**3 + 2*x**2 - 3. Let m be a(1). Suppose 2*l - m - 8 = 0. Calculate the lowest common multiple of l and 56.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001010101111 (base 2) in base 6?\nAnswer: 105035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4759 (base 16) in base 2?\nAnswer: -100011101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -3*z - 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 20 = 0, -5*f - 12 = -5*h + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h*k**3*x + 6*h*k*x**2 - 3*h*k*x - 6*h*x**2 - 847*k**4*x + 2*k**3*x**2 - 5*k**2 wrt k.\nAnswer: 18*h*x - 20328*k*x + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-6)\/(-7))\/(-2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2567 and 204.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7959 - -763943\/96. Find the common denominator of -11\/60 and u.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 3\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 20*t**2 - 18*t - 11. Determine w(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, 0.04, 724, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-1 - (9 + -17 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1064, -220 in increasing order.\nAnswer: -220, 6, 1064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1189 + -676. Suppose t = -39*k + 48*k. What is the least common multiple of 18 and k?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*i + 3 = -l, -5*l - 3 = 3*i. Suppose -10*d + 59 + 11 = l. What is the lowest common multiple of 3 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7*p + 282 = 5*f, f = -4*p + 290. What is the remainder when 509 is divided by p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(-8))\/13 + (-90)\/(-112).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 33 = 5*h, -15 = -34*h + 29*h. Suppose y*k - 60 = -0*k. Solve 0 = 4*t - k*t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*n + 48*n = 2*a - 16, -5*a - 30 = -5*n. Let s = -16 - -38. Solve -3*v - s = -n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*w = 6, -4*o - 3*w = w. Let v(c) = c**2 + 6*c + 4. Let k be 9\/(-6)*16\/6. Let m be v(k). Put m, -2, o in descending order.\nAnswer: -2, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t + 181620 - 933474 = -64*t. Is t a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1062? (a) -5 (b) -1\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 86?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1070 divided by -535\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 1902?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + 5*z - 3. Let i be y(3). Let g be (-1)\/3 - 230\/i. Let w = g + -27. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47652178?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -196 - 11?\nAnswer: -1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sksksmsrmrsmmsksss. Give prob of picking 3 m.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 633 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -400992 (base 10) in base 15?\nAnswer: -7dc2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -135, -432, -825, -1356, -2067, -3000?\n\"Answer: -7*x**3 - 6*x**2 - 230*x + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -844 - -2505. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 355 - 295. Solve -w*m + 64*m = -20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 840 - 844. Which is smaller: -791 or k?\nAnswer: -791","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -12004330?\nAnswer: -12004323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.9 in 1\/11, 9, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u - 11. Let h(g) = 8*g - 10. What is -3*a(o) + 4*h(o)?\nAnswer: 11*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 10.6. Let h be ((-8)\/20)\/(11\/(-5)). Let w = -0.8 - -0.8. What is the closest to w in u, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.25 + 3.45. Let u = l - 3.19912. Round u to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009062 rounded to seven dps?\nAnswer: -0.0000906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.0913 millimeters in centimeters?\nAnswer: 18.90913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 1. Let d(g) = -g. Let l(w) = d(w) - 5*x(w). What is the derivative of l(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -56*u. Suppose -126 = -23*h + 14*h - 33*h. Let k(q) be the second derivative of 0*q**2 + 2*q + 0 - 1\/6*q**h. Determine k(o(l)).\nAnswer: 56*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10) + 1160\/25. Suppose 0 = -v + 23 + b. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 65 = 15. Suppose 67*x - 65*x + 2*s = 40, -s + 4 = 0. What is the highest common divisor of x and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + 79. Let k = -4559 + 4580. Let w = l - k. Solve w = 3*b - 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1be (base 16) to base 12\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 12:15 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -12*q**2 - q**2 + 0*q**2 + 4*q + 0 + 2. Let a(c) = -1 + 2*c - 4*c**2 + 2 - 3*c**2. Let s(i) = -5*a(i) + 3*u(i). Give s(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 66e - -1?\nAnswer: 66f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from fffofiigy?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = 21*b - 996. Suppose -2*a + h = -2*h - b, -498 = -3*a + h. Is a a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 412264 and 4524.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 431162652?\nAnswer: 431162650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-77)\/55 + 1)\/((0 - 3)\/100050)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + g + 1018, 2*h - 7*g = -4*g + 667. Let u = 793 + h. Suppose -2*r + 11*r = u. Is r a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from mxr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 677333371 and 598?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 18. Suppose j = -2*j + m. Solve -j*n + 2*n = -4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 215850 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 61. Solve j + y*g = 0, -4*j + 3*g = 2*g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 + 32. Suppose 0*o + 22 = 2*o. Let x = f - o. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 3 = -8*a. Suppose -3*w = -2*j - 4, -5*j + a*w = 5*w + 29. Sort -2, j, -23 in increasing order.\nAnswer: -23, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b + -12abb5d?\nAnswer: -12abb22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = 6*u + 86 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2. Let g(p) = -p - 8. Calculate a(g(x)).\nAnswer: x**2 + 16*x + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2\/2 + 1390*r - 193210.\nAnswer: -5*(r - 278)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 42131885 and 214887.\nAnswer: 42346772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 + z + 1. Let i be 4\/(-5)*5\/2. Let x be j(i). Let r = 0 - x. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -8. Suppose g*w - 3 = 3. Suppose 3 = -w*c + 12. Solve 0 = i + 3*f + 13, -2*i + 3*f + 4 = c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*z + 239, 4*s - z + 911 = -0*z. Let r = s + 249. Solve r*f + 8 = 22*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -3)*(0 + -1). Let k(l) = -4*l**3 - 5. Let c(v) be the first derivative of v**4\/4 + v - 8. Calculate b*k(u) - 5*c(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12901 = 37*x - 18*x. What are the prime factors of x?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 11:06 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6031*o**3 - 9*o**2 - 113769473 wrt o.\nAnswer: -18093*o**2 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 231893 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 251190 and 10170?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 18 = -3*f, 0 = -0*f - 2*f - 5*y - 12. What is the units digit of (-2 - f) + 96\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6464 + 17306. Is 63 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22348.609912 + 22347.8. Let d = z + 0.81. Round d to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**4 - 15*n + 15*n)*(-2*n - 3 - 8 + 17)*(4 + 3 - 5).\nAnswer: -12*n**5 + 36*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 186722912537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*b*c**3*q**3 + 31*b*c*q**3 - 2*c**3*q**3 + 4*c**3*q**2 - 38*c**2*q**3 wrt b.\nAnswer: -28*c**3*q**3 + 31*c*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**2\/2 + 2*k - 3. Let g(u) = -u**2 - 2*u + 2. Let o be g(-4). Give d(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128))**2 + 5 + (sqrt(2) - sqrt(14)\/sqrt(7)*3).\nAnswer: -2*sqrt(2) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9135769545.\nAnswer: 3, 5, 7, 2017, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*6\/30)\/(6\/(-10)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -115161 or -115162?\nAnswer: -115161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3146805 is divided by 335?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (139 - 3) + (-406 - -335)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 118303, 234291, 350275, 466255?\n\"Answer: -2*z**2 + 115994*z + 2311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-25) - (-48)\/20. Let u(o) be the second derivative of 0 - 3\/2*o**2 + 1\/3*o**3 + 1\/12*o**4 + c*o. Determine u(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j + 1 = 4*z, 4*z + 4*j = -4. Let c(l) be the third derivative of 1\/20*l**5 + 0*l + 2*l**2 - 1\/6*l**z + 0 + 1\/120*l**6 + 1\/3*l**3. Give c(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**5 - 3*x**2 + 6*x + 6. Let c(d) = -d - d**2 + 0 + 2*d + 1. Let v(z) = 6*c(z) - y(z). Find the third derivative of v(f) wrt f.\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4168.0295 - -4169. What is r rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p + 3*p - 33*p + p.\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-405)\/(-270))\/(2\/(-25)*(-10)\/(-8))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145 + -7. Let o = q + -54. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88109.\nAnswer: 7, 41, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19873, 39843, 60017, 80497, 101385, 122783, 144793, 167517?\nAnswer: 191057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 37 = -2*m, 3*m = -2*p + 3*p + 73. Suppose 4*i - 22 - m = 4*d, -5*i + 4*d + 62 = 0. Calculate the remainder when 38 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-1*3 - sqrt(70))\/sqrt(10) - (sqrt(2100)*2 - sqrt(21))\/sqrt(3).\nAnswer: -23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 20.3. Let d = -153\/14 - -2627\/70. Let s = 27 - d. What is the nearest to s in 2\/7, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3384.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/4 of a decade?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/2*2\/(-4). Let n = 497 - 497.5. What is the closest to 4 in f, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(6\/9 + (-4)\/(-12)). Let z(p) = -7*p**3 + p**2 - 5*p - 5. Let l be z(c). Solve 2*s + 4 = -d - 6, 0 = 4*s - d + l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 22904*d**3 + 224*d**2 - 224*d - 224. Let k(y) = 509*y**3 + 5*y**2 - 5*y - 5. Determine 224*k(n) - 5*s(n).\nAnswer: -504*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36234128 and 7232.\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970138 is divided by 323377.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/555 and 113\/870.\nAnswer: 32190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h + 38. Let d be n(11). Suppose -d*c + 12 = 3*o - 2*c, -4*o + 3*c + 30 = 0. What is the least common multiple of 2 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -84\/5*l - 18*l**3 - 171\/5*l**2 + 0 - 3\/5*l**4 = 0.\nAnswer: -28, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.393 - -0.007. Which is the smallest value? (a) -2 (b) -4\/5 (c) -3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 3\/7, 4 in increasing order.\nAnswer: 1\/3, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*m - 34*m**3 - 5*m**3 - 13*m**3 - 34*m**3 + 54*m**3 as a + f*m + v*m**2 + k*m**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -56*g**2 - 579*g - 194. What is i(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 6:35 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4603.\nAnswer: 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f + 3*u + 3, f - 3*u = 12. Let j be 15 - (-3 + 3 + f). Suppose 2*q + 192 = 4*q. Calculate the greatest common factor of q and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 - 7*m**2 + 5*m + 985. Let j(c) = -5*c**3 + 10*c**2 - 7*c - 1478. What is -7*i(l) - 5*j(l)?\nAnswer: 4*l**3 - l**2 + 495","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 139*s**2 + 10289*s + 167. Determine y(-74).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6)*12*(285\/(-180))\/((-28)\/(-21)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4897020 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -185*y**3 - 2*y**2 + 444*y wrt y.\nAnswer: -1110*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxd when three letters picked without replacement from {x: 11, d: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000060517125 to six decimal places.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -5)\/((-8)\/(-604)). Suppose 3*g - 406 = -4*c, -3*g + p + 102 = 2*c. Suppose -g - 132 = -2*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194.9748423 rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)*2*6 + (sqrt(416) - (sqrt(416) - (2*sqrt(416)*1 + sqrt(416))) - sqrt(416)))\/(sqrt(800) - (sqrt(80)\/sqrt(2) - sqrt(40))\/sqrt(5)).\nAnswer: 14*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (2 - 2))\/(-1). Let s(j) = -j**3 - 2*j**2 + j + 2. Let h be s(z). Suppose -q + 40 - 3 = h. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 534 = 162*s. Solve 8*i = c + 11*i + 20, -4*i = -s*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2 - (5 + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*h*q - 42*q - 2 wrt h.\nAnswer: -21*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4073 - -8145\/2. Let u = -6 - -5.6. Put q, u, 2\/7 in descending order.\nAnswer: 2\/7, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueeeeeleeleu. Give prob of picking 1 e and 2 l.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 39 = 15*g. Suppose -v - 2250 = -3*a, -g*a - 5*v = 1125 - 4144. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z - 8. Let h be c(-9). Let o be 20\/(-24)*h\/20. Let n = -37\/42 - o. What is the second smallest value in 1, -0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, 236, 224, 210, 194, 176, 156?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.264767 days in milliseconds?\nAnswer: 454875868.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -30. Suppose 0*z + 3*z = j. Sort 14, -2, z in decreasing order.\nAnswer: 14, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*u - 28 = 320*u + 2524 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**5\/7 - 2*r**4\/7 - 12*r**3\/7 - 4*r**2\/7 + 10*r\/7 + 6\/7.\nAnswer: 2*(r - 3)*(r - 1)*(r + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 221986 bigger than 221995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + a**3 - 3*a**2)*(8 - 20 + 2).\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3*(-126)\/270.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -115 + 6541?\nAnswer: 6425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.610137l?\nAnswer: 2610.137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w = 24. Let c(v) = -v**3 - v**2 - 10*v + 7. Let u be c(-5). Let f = u + -85. Calculate the greatest common divisor of w and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33 and 0.14.\nAnswer: 4.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3*u - 105 = 0. Let s = 1668 + -1659. Calculate the remainder when u is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -27.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -1\/54*f**5 + 0*f + 1\/105*f**7 + 9*f**2 + 0 - 1\/36*f**4 + 0*f**3 + 1\/378*f**8 + 1\/180*f**6. Factor c(k).\nAnswer: 2*k*(k + 1)**3*(4*k - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7854.355um?\nAnswer: 7854355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2001 is divided by 53.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2. Suppose q - 6 = -4. Let f(y) be the second derivative of -y**3\/6 + 5*y**2\/2 - 8*y. Determine q*f(h) - 5*v(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npj when three letters picked without replacement from jzzjzzjjjnjpzzz.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*h**2 - 221*h - 35*h**2 + 212*h.\nAnswer: -3*h*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**3 + 2*i**2 - 12*i**3 - 2*i**2.\nAnswer: -19*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -271277?\nAnswer: -10\/271277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -738755*b. Let y(n) = -224*n**2 - 2. What is y(k(d))?\nAnswer: -122250004805600*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.003 + -3. Let h = 26.277 + q. Let n = h + -26. What is n rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from dmmmmdlmdd.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 182276701 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j - 21. Suppose 5*t - 4 = m + 2, -52 = 3*m + 2*t. Let w be l(m). Is 60 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-6)*-101 + 1\/(-3). Suppose 24*c + a = 30*c. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2 + 9*p - 6. Let i(y) = y**2 - y + 1. Let o(f) = -b(f) - 6*i(f). Suppose g = 5*g - 24. Suppose 4 + g = -5*v. Determine o(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 44767a8?\nAnswer: 4476801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 23 = -j - 5*x, 2*j + x - 6 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**2 + 5*n**2 - 10*n**3 + 5*n**3 + 2*n in the form m*n + r + c*n**3 + k*n**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n. Let l be v(1). Let m = -5 - l. Find the second derivative of -m*x**4 - 2*x**3 + 2*x**3 - 3*x wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/14 and 38802\/(-142448) - (0 + 3\/(-12))?\nAnswer: 17192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -382 + -14186?\nAnswer: -14548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**5 - 243*h**4\/2 + 2599*h**3\/2 + 11109*h**2 = 0?\nAnswer: -69, -23\/4, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1\/4, -7, -8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 7*n**2 + 15*n + 18. What is k(-9)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -1139 = -53478\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 319193467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 656436281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10549 is divided by 423?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**3\/3 + 40*p**2 - 240*p = 0. What is p?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12816*h*o**3 - 8703*o**3 wrt h.\nAnswer: -12816*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-7)\/s*s)\/s)\/s**0*(s\/s**(-7))\/s**(5\/2) assuming s is positive.\nAnswer: s**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3154*c*u**4 - 4681*c*u + c + 381*u**5 + 57*u**2 wrt u.\nAnswer: -75696*c*u + 22860*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -n + 8, -2*y - n + 9 = 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/2)\/g)\/g*g)**(9\/7))**(-1\/10)\/(((g*g*g**(1\/7))\/g)\/(g\/(g*g**(3\/4)*g)*g*g)*(g*(((g*g**(-8))\/g*g)\/g*g)\/g*g*g)\/g*g**7) assuming g is positive.\nAnswer: g**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196 and 20?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 3175*i**2 + 627257*i - 630433. Let d(x) = -x**3 - 6351*x**2 - 1254513*x + 1260865. Let b(o) = -3*d(o) - 7*t(o). Let b(a) = 0. Calculate a.\nAnswer: -397, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*c)\/(c**(-23)\/c) assuming c is positive.\nAnswer: c**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22594541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 184.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 13*o - 15. Let y(i) = 12*i - 14. Let g(l) = -5*s(l) + 6*y(l). Suppose 7*f = -f + 32. Is 5 a factor of g(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/(((-30)\/105)\/((-24)\/(-14))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58904363 and 436.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 9*g**2 + 9*g + 17. Let k be z(-8). Let b be -3*24\/k*(-154)\/8. Suppose -12*u + b = -11*u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 + -18. Let s = 87 + -82. Calculate the highest common divisor of s and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44269 is divided by 233.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*d + 167363 + 14845. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.45952 and -1618239.7.\nAnswer: -1618240.15952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*k - 14, 3*f = -8*k + 4*k + 22. Suppose -f*q + 39 = 5*p, 3*p + 4*q = 4*p - 21. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 204*s - 132*s + 115*s + 94*s as k + f*s and give f.\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 4 - 12*i**3 + 4*i**3 in the form a*i**2 + k*i**3 + y + q*i and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10220210222000010 - 21?\nAnswer: 10220210221222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3571596 divided by 99211\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17655 + 6297 = 3*o. Is ((-1)\/(9\/o))\/((-4)\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -p - p. Let x be 14*(5 + (-39)\/7) - -40. Let c = p - x. Is c >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2*n + 29, 2*n - 11 = -3*u + 4*n. Let b be (0\/3)\/(3 - u). Solve -x = -b + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 + -57. What is the smallest common multiple of n and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*l + 94736, 4*x - 4*l - 462217 = -83321. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*d - 6863 = -10403 - 36155. Suppose 0 = -3*j + 6*j - 12. What is the second derivative of -d*p - p**4 - 19*p**j + 484*p wrt p?\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + 3 - (-12)\/(-8 - -11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -937 + 1325. Let c = -445 + 501. What is the remainder when a is divided by c?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = 25*i - 802. Solve -i*t = 5*t + 87 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32770 less than -1.06?\nAnswer: -32771.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -4*s + 2*f + 100, 77 = 3*s + 5*f. Suppose -45*o - 41*o = -59*o - 1458. Calculate the highest common factor of o and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201144 (base 5) in base 3?\nAnswer: -22210221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*l - 5, 5*d + 3*l = 32. Suppose d*v - v = 711. Suppose -5*b = -8*b + v. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40941*t**3 + 20437*t**3 + 550 + 20505*t**3.\nAnswer: t**3 + 550","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 j when four letters picked without replacement from jjjjiibmbjuujbi?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t - 5. Let g(q) = -q**3 + 8*q**2 - q + 3. Let r be g(8). Let x(o) be the first derivative of -o**2\/2 + 6*o + 2278. Calculate r*i(l) - 4*x(l).\nAnswer: -6*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 480\/2010*27\/(-216)\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**4 + 2*p**4 - 3*p**4 + (p**2 + 4*p**2 - 4*p**2)*(0*p**2 + 2*p**2 - 3*p**2))*(2 - 10 + 0).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4a3cce (base 16) to base 3\nAnswer: -100011011211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-63) - (-55836)\/50337\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-5)*s*s\/((s*s**7*s)\/s))\/(s\/(s\/(s*s\/s**(-1))))**(3\/16) assuming s is positive.\nAnswer: s**(-169\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 298 + -291. Solve 0 = -3*a + l*a - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -164 + 163.887. Let v = 16951 - 16944.063. Let l = v - a. Round l to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 p when three letters picked without replacement from wppwpwwpwwwwwwpw.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*t - 8. Let a be -2 + t\/((-16)\/5004). Let y = 1996 + a. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -3199?\nAnswer: 6398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -37. Suppose 36 = 4*m - 0*m. Is 54\/2 - (q + m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/331 - 3633\/1324. Let z = 4694 - -994. Let p = z + -51248\/9. Find the common denominator of n and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (4 - (8 + -4 - -2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -79*n**7\/210 + 161*n**4\/12 + 89*n**3\/6 - 4*n**2 - 53*n. Let u(c) be the first derivative of l(c). Differentiate u(i) wrt i.\nAnswer: -948*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 - (6 - -2)) + 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1362742 (base 8) to base 3\nAnswer: -201122012221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 - (-16)\/6. Suppose 2*m - 13 = -l, -m + 50 + f = 4*l. Let k be 1 - (-3 - (-2 - 0)). Solve -k*i + 8 = 0, 3*q + 5*i = 19 + l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 28*w**2. Let i(f) be the third derivative of -f**5\/6 + 8*f**2 + 6. Calculate r(i(n)).\nAnswer: 2800*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -154 + 304 - 3*c - 150. Suppose 4*h + 16 = 0, 2*g = -2*g + h - 4. Determine z(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.3742611 to one decimal place.\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101011 - -101100000001000110?\nAnswer: 101011111110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000808909 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18446 and 607114.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from piiaipuapaxpxpapou.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a = 12*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5170, -10493, -15828, -21181, -26558, -31965, -37408, -42893?\n\"Answer: -m**3 - 5316*m + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 1.1 (b) -3 (c) -0.22 (d) 3 (e) 2\/255\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 621 = 373. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 + 85*x - x**2 + 124*x - 209*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 6*v**2 - 2*v - 1. Suppose 2*y + 48 = 6*y. Suppose 4*j - t - 3*t - y = 0, -j = t - 1. Suppose -j*i = -5*i, -2*m = 2*i + 10. Calculate r(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 4*s**2 - 7*s - 11 - s**2 - 12*s**2 + 8*s to the form x*s**2 + p + q*s and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**5\/4 - 51*o**4\/4 - 117*o**3\/4 + 1551*o**2\/4 + 2040*o + 2475 = 0.\nAnswer: -11, -5, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 35*m - 1\/10*m**6 + 3*m**3 + 1\/4*m**4 - 21\/20*m**5 + 0*m**2 + 1\/14*m**7 + 0. Determine c, given that g(c) = 0.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/5 - -4) + -127. Let y be u\/(-27) - (-1)\/3. What is the derivative of -7*m**4 - y*m**4 + 0*m**4 + 14 + 2*m**4 wrt m?\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*i**3 - 8\/5*i**2 - 8\/5*i.\nAnswer: -2*i*(i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1122 is divided by 126?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506 = 5*g + 9*z - 12*z, 498 = 5*g + z. What is the lowest common multiple of g and 28?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 + -2)\/(9\/(-6)). Let z be 2 - (c + (-1 - 6)). Suppose 12*d = z*d. Which is smaller: 2\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a94a (base 15) in base 16?\nAnswer: -21787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 0*f - 1\/3*f**3 - 1\/24*f**4 + 0*f**2 + 2 + 1\/40*f**5. Let m(u) be the third derivative of t(u). Determine m(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/(-195) + 5374\/30 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*z + 187 = -244*z - 4321 for z.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/19))**(37\/5)*k*(k**(3\/8)*k*k*k*k)\/k*k*k**(1\/14)\/k assuming k is positive.\nAnswer: k**(11223\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 5*u + 13. Let j = 11 - u. Which is the second biggest value? (a) 2\/7 (b) 0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1573)*2 - (sqrt(1573) - 1*sqrt(1573)*3).\nAnswer: 2 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 - -11. Suppose 0 = 82*q - n*q. Find v, given that q*v - v**2 + 0 - 1\/3*v**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-164)\/32 + 5 + (-1065)\/120.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2693772 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4430723?\nAnswer: 11, 59, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170640 and 18960?\nAnswer: 170640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -69, -0.3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -152 (base 13) to base 5\nAnswer: -1421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, v: 1, a: 7, d: 5}. Give prob of picking 1 a and 1 y.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-4)\/(-24))\/(63\/(-1638))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-8 - ((9 - 0) + -12)) - -10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 14*b**2 - 57*b + 133. Determine t(8).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3 = 2*h - 4*h, -n = h + 5. Let x = n - -12. Solve 0 = -2*j + x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (25\/10)\/(-1 - (-9)\/6). Suppose -2*i - 10 = 0, -x - q*i - 5 = 4*x. Solve -3*u = -5 - x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 12\/41?\nAnswer: 12\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2928*m**6 - 2015*m**2?\nAnswer: 351360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*a - 4 = 2, -4*b + a - 3 = 0. Suppose 0 = -4*p - b + 12. Solve 2*s - 5 = -p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72246222?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n**3 - 2855*n**2 + 6515*n - 1450 = 0 for n.\nAnswer: -145, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28316900 and 340.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2064324, 4128647, 6192966, 8257281?\nAnswer: 10321592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 321 + -319. Is 15 a factor of 241704\/756 - d\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2086666 is divided by 4868.\nAnswer: 3162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*x**2 - 595 with respect to x.\nAnswer: -106*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1257234 divided by -29238\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.5494 rounded to two dps?\nAnswer: -9.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -52811 (base 9) in base 2?\nAnswer: -1000100001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 802\/3 + -6569\/24. Calculate the common denominator of d and 113\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -43, -28, -11, 8?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + -5 + (sqrt(32))**2 - (sqrt(12)\/sqrt(486) + -1).\nAnswer: 17*sqrt(2)\/9 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3893 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 + 3430\/78)\/(((-13)\/30)\/(-13))?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 + -227. Is (-9)\/(-27) + w\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 b when three letters picked without replacement from {b: 9, h: 5}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11775981?\nAnswer: 3, 7, 560761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10*4\/(-24))\/((-2)\/3). Let f = z + 3. Let x = 0.2 - -0.8. Which is the closest to x? (a) 0 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41313 - -41312.999918402. What is p rounded to 7 decimal places?\nAnswer: -0.0000816","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 50348915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/9 and 77\/3594?\nAnswer: 10782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.5 - -64.1. Let y = -54.5689 + k. Round y to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = 41*o - 127 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h + 29. Let g(b) = -b + 14. Let o(p) = 5*g(p) - 2*z(p). What is the units digit of o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 1:58 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 6:33 PM?\nAnswer: 299","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 207 - -387. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 469 and 2.75.\nAnswer: 1289.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1323)\/(-252))\/((-3)\/(-1896))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 40 = q - 3*q, 2*q = -2*s + 16. Let o be (6 - s)\/((-16)\/2). What is the closest to o in 4, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/11)*h**(-6\/5))\/((h*h**(-14\/5))\/(h*h**11)))**22 assuming h is positive.\nAnswer: h**(1396\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2\/3 + 4\/3*h + 2*h**2 = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1452?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*l - 8*l + 2*l)*(-14 + 3 + 4 - 1 + 1 - 2 + (2 - 7 + 3)*(2 - 5 + 2) - 2 + 3 + 0 - 2 + 0 + 3) in the form y*l + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 383773*m**3 - 5*m**2 + 10*m + 385031*m**3 + 20*m**2 - 765669*m**3 + 29*m**2 wrt m?\nAnswer: 18810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/20*-5*4. Solve 5*x = 4*k + 21 - 4, 5*x = d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 34 + 35 + 2*b + 2*b**2 - 6*b**2. Suppose 3*v + 2*v = 25. Does 20 divide i(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0735 * -5.97.\nAnswer: 0.438795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*u - 176*u + 89224 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*x + n - 0, -3*x + 8 = 2*n. Let b be (0 + x + -1)*0. Suppose b*y = -2*y + 24. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.043 * 106145\nAnswer: 4564.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**4\/12 + o**3\/6 + 5*o**2. What is y(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1390, 1432, 1474, 1516?\nAnswer: 1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -349 + 2447\/7. Let o be ((-4)\/10)\/((-392)\/6020) - 6. What is the third smallest value in 5, o, 0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86937 is divided by 2112.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 13 - 95. Let g be (-202)\/8 + a\/(-36). Let v = g - -46. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 9) to base 5.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1623952 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s. Let m(a) = 321663*a. Determine m(z(o)).\nAnswer: -643326*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 743322 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10531533 times -0.057?\nAnswer: -0.00600297381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 5 (c) 3 (d) -12 (e) 17 (f) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/5360 and 43\/536.\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2580 - 2580 + 10*z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -105 times 0.06\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -136 (b) 0.5 (c) -3\/7 (d) 1 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*s + 1 + (-4*s + s + s)*(4 - 1 - 1) + (-2 + 0 + 1)*(-2*s + 3*s + 0*s))*(1310*s**2 - 1308*s**2 + 39*s + 1 + 18).\nAnswer: -6*s**3 - 117*s**2 - 57*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 418*q**2 - 495*q - 69. Is j(32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 2*j + 44*j**2 + j.\nAnswer: 44*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2329*z**2 + 1068*z**2 + 19 + 0*z**3 + 2*z - z**3 - 3*z.\nAnswer: -z**3 + 3397*z**2 - z + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (6 - (0 - 4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -10, 1\/85, 2.84, 11, 0.3?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009186 take away -43.751465?\nAnswer: 43.760651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262410*h - 131280*h - 131118*h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 1. Let t = y + 3.1. Sort t, 1\/4, -2 in increasing order.\nAnswer: -2, t, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33009372 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b - -3bd6699?\nAnswer: 3bd66b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2060 - -2063. Let j = 0.1 - 0.1. Which is the second biggest value? (a) 1 (b) j (c) g (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 305373822 or 305373823?\nAnswer: 305373822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3932*c - 634*c - 6910*c - 1926*c + 1511*c in the form n + o*c and give o.\nAnswer: -11891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -653.519004 rounded to 1 dp?\nAnswer: -653.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5102 - -5104. Solve 0 = k - 5*x - 3, k - l*k - 2*x - 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -251 + 441. Is c at most as big as 191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -0.1, -234\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 10 + -3 - 9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2163423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**0\/o))**22\/((o\/(o\/o**(-6)))\/((o\/(o*o**(1\/3)*o*o))\/o))*(o**(-1)*o)**(-41)\/(o\/o**(1\/2)*o**(-1\/3)) assuming o is positive.\nAnswer: o**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 9 - 0, -5*i + 3*k + 39 = 0. Let p = 2 - i. Is ((-56)\/35)\/(p\/150) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -59033, -59007, -58981, -58955?\n\"Answer: 26*n - 59059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -441136 and -0.2.\nAnswer: 88227.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccbqddcldllccdc. What is prob of sequence ccl?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 3:05 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4757.13 rounded to the nearest ten?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -261 + 267. Suppose 1201 + 339 = 10*q. Calculate the least common multiple of v and q.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-900)*((-3045)\/(-84))\/(-29)?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - n**2. Let w(o) = 11*o**5 - 2*o**3 - 2*o**2 + 29*o. Let j(p) = -2*f(p) + w(p). What is the second derivative of j(a) wrt a?\nAnswer: 220*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 5*p - 1. Let x be f(5). Sort -2, x, -3 in descending order.\nAnswer: x, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1 - 4) + 4)\/((-2)\/262)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000199 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 24*x**2 - 64*x - 83. Determine v(-14).\nAnswer: -1147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 19 = -3*x + 8*x, 3*m + 2*x - 3 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 16*n + 13. Let i(m) = -5*m - 4. Let h(z) = 2*b(z) + 7*i(z). Does 13 divide h(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 497 * 0.0237\nAnswer: 11.7789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3073 (b) 2\/11 (c) 113\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3242856?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(567) - sqrt(567) - (4*sqrt(21))\/sqrt(3)) + -3.\nAnswer: -4*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 55*c - 58*c + 7 - 5*c**3. Let h(k) = 2*k**3 + k - 3. Give -5*h(f) - 2*y(f).\nAnswer: -2*f**3 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146 - -145.98. Is 1\/5 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/70*(-15)\/12*5.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6714 + 6096.8. What is f rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = 35 + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1971536 take away 17?\nAnswer: 1971519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2424.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 7077.\nAnswer: 2, 4, 7077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 6139?\nAnswer: 6139.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 144297 - 5626625\/39. Let z = t + 4\/39. Find the common denominator of z and 41\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 7*a**2 - 3*a. Give w(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 392.9645 + -393. Let m = -0.0355225 - o. What is m rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/((-736)\/276)*2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 8:22 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12670?\nAnswer: 2, 5, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109248716?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 49*s + 49. Give u(50).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5628661, 5628692, 5628725, 5628760, 5628797, 5628836?\nAnswer: 5628877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1397 + 588.8603. Let i = 617.7 - x. Round i to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {s: 2, q: 1, m: 3, r: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2178*f + 8729. Let t be z(-4). Solve -l + 8 = 3*k, -l - 5 = 5*k - t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17685?\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*l + 60. Suppose -6*u = -2*u - l. Suppose -4*n + 0 = -u. Solve 2 = n*b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 1016*r**2 - 1007*r**2 + 6 + 11*r + (-5 + 5 + 6*r)*(r + r + 0*r) - 3*r**2 + 4*r**2 + 0*r**2.\nAnswer: 22*r**2 + 11*r + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 786524485299400?\nAnswer: 786524485299395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 6. Let w(q) = -2*q**2 - q + 2. Let d be w(-2). Which is the second smallest value? (a) d (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdsdsdd. What is prob of picking 1 d and 1 v?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a + 20*a + 6 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 - 5. Let r(d) be the first derivative of -2*d + 2 - 1\/3*d**3 + 0*d**2. Determine -5*r(k) + 2*u(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60 - (10 - (36 + -52))) + 46?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -195*l - 315. Let t(c) = 304*c + 481. Let s(d) = -203*d - 321. Let a(f) = 7*s(f) + 5*t(f). Let h(x) = 9*a(x) + 5*o(x). Differentiate h(g) wrt g.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 170\/(-34)*(-5)\/((-25)\/(-7)). Let m(w) be the first derivative of 9 + 20*w**4 + 0*w + 55\/3*w**3 + 5*w**2 + k*w**5. Factor m(h).\nAnswer: 5*h*(h + 1)**2*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + 5 + 68 + 0 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*((-40)\/(-90) + (-5)\/(-9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62066*g*o**3 - 2*g*o**2 - 30944*g*o - 2*o**3 - 2*o**2 wrt o?\nAnswer: -372396*g*o - 4*g - 12*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 9*w**2 + w + 4. Calculate the remainder when 49 is divided by x(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.40017 rounded to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23\/4 (b) 0 (c) -13.5 (d) -10 (e) -0.2 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*w - 13 - 11, -2*w - 3*k - 4 = 0. Let t be 2 + 1 + -4 + 1. Solve t = h - 2*h - w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j + 143 = 53. Let r(d) = -d + 2. Give r(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -175*(-80)\/1400 - (-4024)\/(-402) - 0.\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 760?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-47 - -49)*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g. Let u(h) = 1. Let i(z) = 2*u(z) + v(z). Let m(t) = 0 + 9 - 2*t - 4. Give 8*i(b) - 3*m(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -658*g**3\/15 - 327*g**2\/5 + 4*g\/5 - 1754. Let j(q) = 0. Calculate q.\nAnswer: -1, 2\/329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((2\/9)\/2). Suppose 5*a - v - 2 = 0, 4*v = -4*a + 7 + t. Let z be 611\/195 + (-4)\/30. Calculate the highest common divisor of z and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 11. Suppose -2*a - 1 = -l. Let y(h) = 3 + 28*h**2 - 29*h**2 - 1 + 3*h. Give y(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525700 rounded to the nearest 10000?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-12))\/((-25)\/(-45)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-213)\/(-355))\/(16\/720)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24768668 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 295658.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.05308 - 1.05. Round r to four dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26570199 divided by -35?\nAnswer: -26570199\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24936*b**2*g + 4*b*g - 1936*b wrt b.\nAnswer: -49872*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 229420?\nAnswer: 114710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2368.4 + -0.4\nAnswer: 2368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f - 24 = 3*a, -18 = 3*f - 4*a. Let y = 218 - 216. Let d(j) = -j**2 - 12*j + 137. Let c be d(-19). Sort 3\/4, y, f, c in descending order.\nAnswer: c, y, 3\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -79, 286, 895, 1748, 2845, 4186?\n\"Answer: 122*r**2 - r - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - n - 8 = 0, 0*n + 4 = 4*n. Let z = 311\/3 + -103. Let j = -238\/19 - -3532\/285. What is the second smallest value in z, m, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-6)*9\/2. Let f(c) = 2*c**2 + 24*c + 44. Let a be f(-10). Suppose -x = -a*x + j. Solve 3*s = -4*r - r + 21, -x*s - 8 = -4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21131098 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1088*q - 436?\nAnswer: 1088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 25. Let w be y(0). Suppose -z - 3*i - 3 + 32 = 0, 0 = -5*i + w. Suppose 10*b - 10 = -10. Solve -q + 12 = 3*q, b = -2*d + 2*q - z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4849613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w*w\/w**(2\/11)*w)))**(-2\/29))**33)**(-1\/28) assuming w is positive.\nAnswer: w**(93\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3051 is divided by 355?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18497137 divided by -1?\nAnswer: -18497137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 3*t**2 - 5*t + 11. Determine l(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 28 - 0. What is the tens digit of 3 - (-3 + s)*-7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/58, -0.3, -12 in increasing order.\nAnswer: -12, -0.3, 5\/58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 116 - 20 = 0. Let l(h) be the first derivative of -h**4\/4 - 7*h**3\/3 - 5*h**2\/2 - 18*h + 142. What is the remainder when z is divided by l(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.603 * 2\nAnswer: -7.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) - (-3 + -2 + sqrt(405))**2.\nAnswer: -430 + 99*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -781843 = -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -219187*k**3*s**3*z + 4*k**3*s*z - 2*k**3*s + 1920*k**3*z - 180*s**3*z - 2021*s**2 wrt s.\nAnswer: -1315122*k**3*z - 1080*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*(-1)\/32)\/(((-180)\/16)\/(-9)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -530 - -534. Solve 0 = c*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 0*k**3 + 3 - 1\/12*k**4 + 0*k**2 + 3*k. Let c(u) be the first derivative of r(u). Let x(s) = -2*s**2. Give x(c(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/4)*i)**35\/((i*(i\/(i**(-2\/7)\/i))\/i)\/(i**(1\/4)*i*i)))**(-9) assuming i is positive.\nAnswer: i**(-7713\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -22. Suppose -3*o + 34 = -s*o. Let p = o + 21. Solve 0 = -2*l, -15 + 5 = 2*x - p*l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -2. Let m be (-2)\/2*7*-4. Solve -2*i + 18 = 3*x - 2, -4*x + m = o*i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 153, -16\/39, -2\/7?\nAnswer: -16\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = -j. Let u be ((-8)\/24)\/((-2)\/30). What is the biggest value in j, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 4*u - u)*(1574 + 55*u**3 - 1574)*(0 + 0 + 1).\nAnswer: 55*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1480 and 555.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*u + 281*u - 163*u - 2 - u + 2 + 3*u - 2*u - 2*u + 0*u - u + 0*u + (-2*u + 0*u + 3*u)*(4 + 0 - 5) + 3*u + 2*u - 4*u.\nAnswer: 93*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t - 1. Let d = -13466 - -13478. What is the remainder when d is divided by s(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i - 2*i**3 + 3*i**2 + 4*i**3 + 2 - 5*i**2. Let x be (-1)\/7 + 60\/28. What is the remainder when 19 is divided by j(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**6\/720 + r**5\/60 - r**4\/4 + 21*r**2. Let n(z) be the second derivative of b(z). What is n(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -59, 0.5 in descending order.\nAnswer: 0.5, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 + 17*r**2 + 225*r + 625\/3.\nAnswer: (r + 1)*(r + 25)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 19*v**2 + 3. Let o(i) = -32*i. Give f(o(x)).\nAnswer: 19456*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 19. Suppose -d + 11 = -s. Calculate the greatest common divisor of d and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.745933nm to meters.\nAnswer: 0.000000008745933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*d**2*h - 2*d**2*l**3 - 295887*d**2 - 2*d*h*l**3 + 152*d*h*l**2 - d*h*l + 2*d*h - 2*d*l**2 + 2*l wrt d?\nAnswer: 26*h - 4*l**3 - 591774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (-301)\/(-21))*1\/1?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91911 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 978295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14\/104*624\/(-1911)*-7\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 28\/3, -5, -632?\nAnswer: -632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 9*j - 6. Let u be h(8). Suppose 3*n - u*n - 41 = 0. What is the remainder when n is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.2 in 5, -2\/13, -0.056?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10839 (base 11) to base 10\nAnswer: -15651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4295 is divided by 293.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 + -111. What is the lowest common multiple of 17 and g?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1648\/33 or 8500?\nAnswer: 1648\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333*n = -714*n - 1449 - 1692. Let h = 0.07 + 0.23. Let f = h - 0.2. Which is the fourth biggest value? (a) 0.03 (b) f (c) n (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.172mg in nanograms?\nAnswer: 81172000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -8478*n**5 - 381506*n**4\/3 + 466310*n**3 + 381290*n**2\/3 - 457832*n + 72 = 0. What is n?\nAnswer: -18, -1, 2\/12717, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (2 + 2 - 3) - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 455435253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g**3 + 26*g**3 - 7*g**3 - 12*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10783681 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1552*j**3 - 823*j**3 - 1630*j**3.\nAnswer: -901*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 33*j**2 + 24*j + 384. Determine d(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 4*g + 2*g)*(-24*g**2 + 7*g + 8*g + 26*g**2).\nAnswer: -4*g**3 - 30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-8 + 22) - 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/728 and -101\/18278.\nAnswer: 511784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x**3 + 2*x**2 + x + 1. Let q be y(-2). Let g = 220 + q. Let w = g + -62. List the prime factors of w.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 + 54*k - 173. Let u be a(14). Sort 0, 30, 2, 1, u in descending order.\nAnswer: 30, 2, 1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 8*s**2 - 6*s - 2. Let u be y(7). Let o = 8 + -7.7. Let z = -0.2 + o. Which is the nearest to z? (a) -0.5 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((5 - 7)\/(-4))\/(2\/1244)?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11491 is divided by 228.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*v**3 + 18931*v**2 - 2*v + 1013956 wrt v.\nAnswer: -60*v**2 + 37862*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 17 = -7. Let y(d) be the second derivative of d**5\/10 - d**4\/4 - d**3\/2 + 5*d**2\/2 - 5*d. What is the tens digit of y(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m**2 + m - 10. What are the prime factors of r(6)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x + 12. Let o be k(-6). Let u be (-6)\/(-2) - o\/6. Suppose -4*s = -0*s - 24. Which is smaller: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -451 (base 8) in base 11?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j + 3*j - j**2)*(-j + 2*j + 0*j)*(-j + 2*j + 0*j + (5*j + 0*j - 3*j)*(-2 + 1 + 3)) in the form y*j + f*j**2 + v*j**4 + p*j**3 + c and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 12*f + 18. Let v be x(13). Suppose -2*h + v = -7*h. What is the common denominator of h and (-1290)\/(-189) - (-4)\/14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 311182 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**2 - 15*u + 11. What is the smallest common multiple of z(5) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 2*x**2 - 3*x**2)*(2*x**2 - 3*x**2 + 0*x**2) + (x - 3*x + 3*x)*(3*x**3 - 11*x**3 - 7*x**3).\nAnswer: -17*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(0 + (-2)\/5). Suppose 0 = 3*f + v*i - 27, 4*f - 14 - 2 = 4*i. Is 2\/f - 498\/(-21) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1036)\/(-1110) - (-3)\/(-5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14913180*r**2 - 558632*r - 9?\nAnswer: -29826360","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -43. Suppose v = 0, -5*r - 2*v + 20 = -7*v. Suppose 4*g = 2*g + 26. Solve r*a = 3*h - 21, 5*h - g = l*a + 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbdbbb. What is prob of sequence db?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1280 and 18730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 - b**2 - 2*b - 1. Let a be w(-1). Suppose 4*q = -a*l + 90, 4*l - 8*l + 54 = 2*q. What is the remainder when 81 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-3\/5)\/t)*t**(-1)\/t)**13)**42 assuming t is positive.\nAnswer: t**(1638\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5\/7 (b) 0.5 (c) -2\/3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 - z**3 + z**3 + (-5*z**2 - z**3 + 5*z**2)*(2 + 4 - 4))*(3 + 2 - 3).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 7. Let z be g(-7). Suppose 4*s = 3*o, z = s - 2*o - o. Which is smaller: s or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 27 + 2*u**2 - 2*u**2 - 2*u**2 as v*u + i + n*u**2 and give i.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -6, 2, 24, 66?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 smaller than 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 41. Suppose -6*z = 3*m - 3*z, 2*m + 5 = -u*z. What are the prime factors of 7\/35 - (-274)\/m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 2*u - 9 = 8*q, -18 = 4*q + 2*u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22131 = -18*u + 22509. What is the smallest common multiple of 21 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**3 - 6*m**2 - 6*m - 1. Let k be f(-1). What is the first derivative of 0 - 413*w**k + 414*w**2 + 20 + 8*w**3 wrt w?\nAnswer: 24*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 2281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, b: 5}. What is prob of picking 1 b and 1 t?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -8, -39, -106, -221, -396, -643?\nAnswer: -974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -216.16 + -0.44. Let y = -216.601937 - w. What is y rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5696, -4, 1, 4, -751.\nAnswer: -5696, -751, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1030489?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -9 + (-4 - -11) + 6 + 10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4938807443 to the nearest integer?\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 10. Suppose -2*i - 10 = i - 4*t, 0 = 5*i + 5*t + 40. Let d be x(i). Let p(h) = -h**2 - 7*h - 6. Determine p(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6) + 182\/(-21). Let d(t) be the first derivative of -4*t**3\/3 + 13*t**2\/2 + 10*t + 4. Let n be d(x). Round n to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-32) - (-100)\/224. What is d in 2\/7*d**2 - x + 2\/7*d = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -8, -7, -10?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8576 - -12642. What are the prime factors of b?\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/533 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 54437*s - 1034306. Determine d(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 18*b**2 + 54*b - 19. Calculate x(14).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-81) - 26\/(-36))*0. Let s be ((-30)\/(-12) - r) + 3\/(-2). What is the highest common divisor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - y - 20 = 0, v - y - 15 = y. Suppose 2*t + 6 = -5*c + 83, -5*c - v*t = -65. Which is greater: 19 or c?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 154 = -70. Let c = l - -41. Let d(w) = -w**2 + 18*w - 2. Let h be d(c). Calculate the greatest common divisor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0)\/1 - -4. Suppose -x*v - 4*g + 13 = -266, -2*g - 8 = 0. Suppose -60 = -5*y + s + 21, -4*y - 5*s = -v. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 40603546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-36) - 76\/(-9). Let b = 19 + 11. Let x = b - z. What is the highest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -976.2374145 and 1.\nAnswer: -975.2374145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416690794.\nAnswer: 2, 13, 317, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110567873 or 110567867?\nAnswer: 110567867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, s: 1, m: 3, n: 6}. What is prob of picking 1 s, 1 m, and 1 n?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.55955396 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -31*j - 7. Let q(y) = -11*y**2. What is c(q(z))?\nAnswer: 341*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.9?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10586261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, 2\/225 in descending order.\nAnswer: 9, 2\/225, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 3*u - 2 + 0*u**2 - 4\/3*u**3. Let b(g) = -7*g**2 + 5. What is 3*b(d) - 5*r(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 364 + -353. Let r = -35 - -156. What is the greatest common divisor of j and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -145 + 139.35. Let j = 0.05 + p. Let a = 5.60000154 + j. What is a rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*o - 7. Let a(r) = 13*r**2 - 3*r + 2. Let u be a(1). Solve -3*b - u = -o*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6*s**3 - 17*s**2 - 11. Let p(l) = -2*l**3 + 6*l**2 + 4. Suppose 4*h = h - 5*c + 37, 4*c - 20 = 0. Determine h*k(u) + 11*p(u).\nAnswer: 2*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220202202 (base 3) to base 2.\nAnswer: -100011010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*18498875.\nAnswer: 3699775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**5\/10 + g**4\/12 - g**3\/2 + 11*g**2\/2 + 53*g. What is the tens digit of t(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -10, 4, -11023, -1, 8 in decreasing order.\nAnswer: 8, 5, 4, -1, -5, -10, -11023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 8 + 1 + 13 - 3*i as m + c*i and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 0*p + 0*p)*(3 - 14 - 12) + 5*p - 3*p - 3*p.\nAnswer: -47*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5389 (base 13) in base 11?\nAnswer: 87a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 1\/4107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-26 + 1 - -11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21643, -21657, -21651, -21625?\n\"Answer: 10*o**2 - 44*o - 21609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 2*d - 28, 0 = -99*f + 112*f - d + 158 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 11. Let f = -111 - -117. What is b(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(2 + (-1)\/1). Suppose 0 = 2*f + f - 63. Let o = f + i. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -50 and -9.987075118.\nAnswer: -59.987075118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 21 = 4*n, -r - 4*r - n - 35 = 0. Sort r, 3, 0 in increasing order.\nAnswer: r, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87541200 rounded to the nearest one hundred thousand?\nAnswer: -87500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -140, -5 in ascending order.\nAnswer: -140, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6504*m + 6571*m - 168 = -2714 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12767?\nAnswer: 17, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b - 5. Let v(f) = 8*f + 154. Let x be v(-19). Suppose -4*c - u - 4 = -5*c, 3*c - 2 = -x*u. Give s(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1044 - -3?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 31 = -23. Let a = j - -405. What are the prime factors of a?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16156726451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2*(8 + 0 + 984\/(-126)). Which is the closest to r? (a) -38 (b) -4 (c) -1\/11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/132)\/(8\/12)*-2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1188 and 73\/21530016.\nAnswer: 236830176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -14 + 11 + (7 - 16).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*a**3*u + a**3 - 9*a**2*u**2 - 4*a**2*u - 5*a*u**2 + 5339*a*u wrt a?\nAnswer: 42*a*u + 6*a - 18*u**2 - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000011001 + 111111?\nAnswer: -100111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/8 - -1) + 131\/(-4). Let m = s + 41. What is the remainder when 1040\/35 + (-16)\/(-7) + -2 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4 + 0 + sqrt(605) - (-6*sqrt(605)*1 - sqrt(605)))*-5)**2.\nAnswer: -20240*sqrt(5) + 968529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 29*o**2 - 377*o - 42. Give h(13).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/3)\/(511 + -488). Factor t*q + 0*q**2 + 6\/13*q**3 + 0 - 2\/13*q**4.\nAnswer: -2*q**3*(q - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + v**2 + 6*v**2 + (v**2 + 0*v**2 - 2*v**2)*(1 + 0 + 1) - v**2 - v**2 + v**2 - v**2 - 2*v**2 + 2*v**2 - 2*v**2 + 5*v**2 - v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11308.5 + 11309. Sort 2, -0.4, -0.02, y, 3 in ascending order.\nAnswer: -0.4, -0.02, y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*-20)\/((-3)\/3). Suppose r = 4*d + y, -2*d - d - y = -29. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349 less than 362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j - j + 7*j + (1 + 1 + 1)*(4*j + 0 + 0).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139.6628ml to litres.\nAnswer: 0.1396628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 45 + 63. Let n(u) = 2*u - 22. Let w be n(a). Let t(r) = r**2 + 2*r + 4. Calculate t(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2249755\/43 - -52323. Let y = -70438040 + 60576707549\/860. Let d = p + y. Find the common denominator of -27\/8 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2\/657, 3\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)\/(s**(2\/63)\/s))\/(s**8*s*s\/(s*(s\/(s*(s**(-3)\/s)\/s*s*s)*s)\/s*s)*s*s) assuming s is positive.\nAnswer: s**(-821\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -5 (c) 2\/23 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5097 is divided by 4988?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -5*u**7\/21 + 2*u**3\/3 + u**2 - 14*u. Let a(i) = -i + 1. Let k(v) = 2*a(v) - o(v). Find the second derivative of k(q) wrt q.\nAnswer: 200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/174)\/((32\/42)\/8).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25099 divided by 1130?\nAnswer: -25099\/1130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1866.671 to the nearest integer.\nAnswer: -1867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 - 81*u**2 - 949*u - 2501. What is i(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 68*c**2 + 237*c - 17778. Give j(68).\nAnswer: -1662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1346 - -1384) + 56\/10 + 6\/15\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-5)\/(15\/(-2))) - -1. What is the tens digit of ((-957)\/(-12) - a)\/((-24)\/(-64))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3. Suppose o = -8*z + 4*z. Let g(n) = -n**3 - n**2 + 2. Let d be g(0). Is d > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 218203413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12819343 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 9:54 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 10, 4*g - 9 + 30 = m. Find the common denominator of (m\/(-4))\/(20\/770) and -71\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55124 is divided by 551.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven halves of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8059 = -13*n + 72671. List the prime factors of n.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**8\/8 - 2*f**4\/3 + 6*f. What is the third derivative of v(h) wrt h?\nAnswer: 840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60116 divided by 3164.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = g - 96. Calculate the smallest common multiple of ((-6)\/(-7))\/(g\/(-112)) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14145524.2 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -6*d**2 - 10*d - 8. What are the prime factors of o(-4)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -2, 4 in decreasing order.\nAnswer: 4, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110012112 + -112002020?\nAnswer: -1212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 10*p + 16. Let f(j) = 2*j**2 - 11*j - 16. Let z be ((-104)\/(-12)*-3)\/2. Let t = z + 10. Let k(h) = t*y(h) - 2*f(h). Factor k(w).\nAnswer: -(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*b**2 + 164*b**2 - 61*b**2.\nAnswer: 569*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*n - 59*n + 240*n - 44*n - 59*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z + 7. Let h(i) = -13*i + 13. Let b(m) = 4*h(m) - 9*v(m). Let g be b(7). Solve -5*p + 0*j = 4*j + 12, -g*j + 26 = -5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9237*a**3*u**2 + 2*a**3*u + 35*a**3 + 62726*a**2*u**2 - 12*a**2 wrt a?\nAnswer: -55422*u**2 + 12*u + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*z = 1 - 11, v + 7 = 5*z. Find the first derivative of 17 - 7*m - 15*m - v*m wrt m.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/((-749)\/(-182) - 4)*4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 16*q + 296. Let v be n(-21). Put v, 5, 3, -2 in descending order.\nAnswer: 5, 3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 258*n**2 + 5439*n + 17820.\nAnswer: 3*(n + 4)*(n + 27)*(n + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24441572011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 62466431045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153271417?\nAnswer: 13, 239, 49331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(3\/16)*i)\/i)\/(i*(i*i\/(i**32\/i))\/i) assuming i is positive.\nAnswer: i**(483\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = -14*k - 33. Let d = k + 52. Solve 4*j - 3 = -d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 298, 774, 1636, 3010, 5022, 7798?\nAnswer: 11464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = -107887 + 285272. Is (o\/(-2))\/(18\/(-4) - -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*u**2 - 4 + 5 - 2*u**2)*(89*u + 91*u - 71*u) as j*u + y + r*u**2 + q*u**3 and give q.\nAnswer: -1199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27, 133, 325, 597, 943, 1357?\n\"Answer: -s**3 + 49*s**2 - 34*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15621.213 - 15639. Let y = -33.039 + p. Let f = y + 51. What is f rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 850841568270.\nAnswer: 850841568268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 4*j + 7. Let b(f) = -722*f + 16 + 4 + 711*f - 3*f**2. Determine 6*b(r) - 17*k(r).\nAnswer: -r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 3. Let h be z(6). Let n be 1\/((-1)\/(-17)) + 1. Calculate the greatest common factor of n and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - f**3 - 3)*(0 + 1 + 0) + 5*f**3 + 0*f**2 + 0*f**2.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 185 - 22?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 19 = -u. Let b(l) = -l**3 + 3*l**2 + 4*l. Suppose 2*f - 2 - 4 = 0. What is the remainder when u is divided by b(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 6:27 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 4*n - 22*u + 25 - 3, -2*n + 26753*u - 24 = 26750*u for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 2539454?\nAnswer: 2539453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 993 is divided by 166?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((0 - 1) + 0). Let n(b) = -2*b + b + 2*b + b**2 + 1 - 4*b. Determine n(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 34*n - 80 = -3*b, -5*b + 44 = -3*n. Solve 2*x + 3*x + b = 2*w, 0 = 3*w - 5*x - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -151033, -302099, -453165, -604231, -755297, -906363?\n\"Answer: -151066*v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p - 17256 = -17328 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 9*j**2 + 9*j + 10. Let o(i) = 5*i**2 + 2*i - 1. Let n = 1 + 0. Calculate the remainder when o(n) is divided by d(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1585 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: Put 0, 0.0065, -47744 in descending order.\nAnswer: 0.0065, 0, -47744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w - 1. Suppose 107 = 3*b + 92. Let d be s(b). Solve 5*l + d = 8*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 6:41 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -0*v + 2*v + 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44 plus -123156.8070322?\nAnswer: -123157.2470322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 18*l - 6. Let t be a(10). Let f = t + -34. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(988\/(-51)) - (-26)\/(-169)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 10*m**2 + 10*m - 7. Let z be l(9). Suppose 1713 = w + z*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7270\/975 + 1 + 5. Let w = p + -10\/39. What is l in -w*l**3 + 78\/5*l - 4\/5*l**5 - 36\/5 + 6*l**4 + 14\/5*l**2 = 0?\nAnswer: -1, 1\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t + 12*t - 11*t - 56*t**2 - 10*t - 5*t.\nAnswer: -56*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20552 and 278?\nAnswer: 2856728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 25*h**8\/168 - h**4\/24 - 17*h**3\/6 + 5*h**2 + 4*h. Find the second derivative of c(r) wrt r.\nAnswer: 1000*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1667599*-0.04\nAnswer: -66703.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1558 - 1553. Solve -5*m - 25 = -4*i, y - 10 = 5*m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 + j - j + (-j + 4*j - 2*j)*(3511 - 3511 + 160*j) as g + b*j**2 + n*j and give b.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 - -53. Suppose v = d + 11 - 74. What is the remainder when d is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 6*w**2 - 4*w + 4. Let i be 1*(-6)\/5*-5. Let s be c(i). Let j = -13 - s. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wiwiirtfrivrriir?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4141, -16735, -37799, -67339, -105361, -151871?\n\"Answer: -j**3 - 4229*j**2 + 100*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-50))\/((-136)\/122145). Let a = k + -403\/5. Calculate the common denominator of ((-715)\/(-312))\/(1\/4) and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/830 and 8\/5063.\nAnswer: 50630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 3 (c) 0.3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -561*m**5*r**2 - m**5 - 22*m**2*r**2 + m**2*r - 13 wrt m?\nAnswer: -33660*m**2*r**2 - 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 556542 by 631.\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-850)\/(-153))\/(290\/1044).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 0 - (-151 - -134)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 5496.435?\nAnswer: 5496.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k - 2. Let f(w) = w - 1. Let j(b) = 2*f(b) - s(b). Let g(i) = 3*i**2 - 6. Let x(h) = -1. Let d(l) = g(l) - 6*x(l). What is d(j(v))?\nAnswer: 75*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26388 divided by 5\nAnswer: 26388\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*z - 5*z**3 - 3*z**2 + 20*z + 3 - 46*z wrt z.\nAnswer: -30*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from {m: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*b**(1\/2)\/b)**10*(b**(3\/8)\/(b*b**(-2\/7)\/b*b))**16 assuming b is positive.\nAnswer: b**(-283\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224 and 42?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 151594*i - 303193. Give y(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008877 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49343*w**4 - w**2 + 35183*w wrt w.\nAnswer: 1184232*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 12 = -0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**2 + b - 5. Let v(s) = 6*s**2 - s + 6. What is 5*p(o) + 4*v(o)?\nAnswer: -o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) 5 (c) 1 (d) -1 (e) -0.75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*z**2 + 18*z**2 - 17*z**2 + 0*z - 12*z wrt z?\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2162752.7732 + 2163474. Let c = x + -721. What is c rounded to 2 decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 14. Let d = 12 - o. Solve 3*q + d*q - 25 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84.18 - -82. Let s = -94.82 + w. Let r = s + 96.99999805. Round r to 7 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**5\/4 - 65*u**4\/6 + 625*u**3\/6 - 250*u**2 - 2*u - 4571. Find s, given that p(s) = 0.\nAnswer: 1, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*i - 23*i. Suppose 3*z = -i*b - 2*b + 453, -755 = -5*z - b. List the prime factors of z.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, d: 1, m: 12}. Give prob of picking 3 k and 1 m.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v + 19. Let t(l) = -265. Let z(b) = 66. Let i(f) = -t(f) - 4*z(f). What is -a(o) + 6*i(o)?\nAnswer: 3*o - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + 2*(-5)\/(-2) + 0. Suppose s = -26*n + 12*n + 420. Calculate the lowest common multiple of 130 and n.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**4 - 7*z**3 + 14*z**2 + 6*z - 2. Let o(u) = -5*u**4 + 34*u**3 - 70*u**2 - 33*u + 11. Let f(w) = 44*n(w) + 8*o(w). Factor f(v).\nAnswer: 4*v**2*(v - 7)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -15. Let p = -7 - c. Solve -2*u + p*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*i - 1\/6*i**2 + 1\/2 = 0. Calculate i.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12866337, -12866401, -12866469, -12866541?\nAnswer: -12866617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x + 3*x**3 - x)*(0*x**2 + 2*x**2 - x**2).\nAnswer: 3*x**5 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-4)*o)\/o*o*o**(-3\/7)*o)**5)**19 assuming o is positive.\nAnswer: o**(-1615\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 70613 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 14. Let m be k(12). Let i(u) = 4*u**2 - 6*u**m + 5*u**2. Let c(z) = -z + 6*z + 0*z - 2*z. Give i(c(p)).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-882)\/84*(-4)\/6 - 8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -219.\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 3*k + 0*k)*(-3 - 1 + 3)*(-3 + 3 + 1) + (3 - 6 + 2)*(-11*k - 2*k - 8*k) to o + b*k and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*h - 12 = 52*h. Let r = -128 + 118. Let q(w) = w**2 - 1. Let b(z) = -5. What is h*b(k) + r*q(k)?\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12042508253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -0*a + 21. Sort 7, a, 1 in descending order.\nAnswer: 7, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 2 = -7*q. What is the first derivative of 0*l**q - 17 + 19 - 15*l**2 + 3*l**2 wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-18) - (-212)\/18. Let s be 19 - -4 - 2*-2. Let i = s - 23. Solve 0 = 2*z + 5*l - 6, l + t + 0 = i*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 15*n**2 + 17*n - 10. Let u be t(-5). Is 156 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 - 6*a**2 + 2*a - 2. Let v be k(5). Suppose -v = 4*x + 692. What is x rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-42)*9\/(-4))\/9\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 9:51 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 21 (b) -6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**2 - v + 6. Let g(k) = -17*k**2 - 4*k + 25. Let r(y) = 2*g(y) - 9*q(y). Is r(4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 5. Suppose -11*v = 5*b - 8*v - 9, 0 = -2*b - v + 3. Sort -26, x, -1, b.\nAnswer: -26, x, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(121)*-3)\/(sqrt(22)\/sqrt(2)*3) - (((sqrt(1331)*2)**2 + sqrt(1331) + 5 - sqrt(1331) - ((-1 + sqrt(1331) - sqrt(1331))**2 + 0)) + 4).\nAnswer: -5329 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d. Let w(l) be the first derivative of -l**5\/12 - l**2 - 36. Let y(x) be the second derivative of w(x). Determine y(f(z)).\nAnswer: -245*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*g - 8 = -50*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119.62162 * -1.\nAnswer: -119.62162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 431855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, v: 2, m: 1, g: 2, b: 3}. Give prob of sequence gbc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 134*h**2 + 7*h - 940. Calculate m(134).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 3. Let z(k) = -12*k**3 - 6*k**2 - 7*k + 5. Let u(b) = -23*b**3 - 11*b**2 - 13*b + 9. Let i(l) = g*u(l) + 11*z(l). What is i(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9040 + -9035. Solve c*h - 6*o = -3*o - 13, 1 = -3*h - 5*o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*t - 2*c - 316 = 0, 5*t - 239*c + 479*c = 235*c - 40 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, -5, 0.4, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-2))\/((-1290)\/774*126\/(-20))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7.874436 seconds?\nAnswer: 7874436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939452564 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12229, -24624, -37019?\nAnswer: -49414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-23\/4)\/(b*b\/b**(-43)) assuming b is positive.\nAnswer: b**(-203\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -0.1, 2, 307\/5, 0.08 in decreasing order.\nAnswer: 307\/5, 2, 0.08, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2767 + 640 = 193*r + 1540 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1198 + 2280 = 885*q + 7277 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*h**3*q + 33*h**3 - 42*h**2*q + 297*h**2 + 10*h*q wrt q?\nAnswer: -9*h**3 - 42*h**2 + 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = -0. Suppose 72 = 6*l - o*l. Let q = -14 + l. Solve -z - q = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from zzyywzzxzyywwywzww.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 265.2 - 265.19. Let k be 1\/(-4) + 1\/(-2). Which is the biggest value? (a) k (b) w (c) -0.6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38591043 > -38591043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -999 - 62 = -69*y - 3*m - 80, 65 = 5*y - m for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -901, 3, 22.\nAnswer: -901, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-7)\/(c**7*c)*(((c\/(c\/(c\/(c*c**(2\/7))*c)))\/c)\/c)**(1\/7) assuming c is positive.\nAnswer: c**(-744\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.08129 litres to millilitres.\nAnswer: 24081.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -2, -1221.\nAnswer: -1221, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 b when four letters picked without replacement from quuhbubhbbq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71725671, 71725644, 71725625, 71725620, 71725635, 71725676?\nAnswer: 71725749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -33 + (24 - -27).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33842.\nAnswer: 2, 16921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 799, -1\/15, -9?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5 = 2. Let r(q) = q + 1. Let n be r(k). Suppose -7 = -h - 2. Sort n, h, -4 in descending order.\nAnswer: h, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 55*u = 2*t + 159, 2*t - 4660*u + 4656*u = 6*t - 36 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -42*r + 4. Let c be o(2). Let h = -155 - c. What is the common denominator of -2\/11 and 2 + (0 - h\/(-12))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**3 - 144750*a**2 - 2172305*a - 2027550 = 0. Calculate a.\nAnswer: -14, -1, 28965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, p: 1, b: 7, q: 1}. What is prob of picking 2 b and 2 v?\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 1781784?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 34*v**2 - 11*v + 25. Is c(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 12:31 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -1, 0, -1552, 4 in increasing order.\nAnswer: -1552, -5, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002021 + 210120001?\nAnswer: 201110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 7.3. Let i = -62 - -64. Let y = i - v. Round y to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 742*b**2*q**6 + b**2*q**2 - b**2 + 1238273*b*q**2 + 2664*q**6 wrt q.\nAnswer: 89040*b**2*q**3 + 319680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 169\/4 - 42. Let y = 5\/44 - -63\/220. What is the closest to y in 2, x, 5\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118*k + 1474*k**2 - 118*k - 1573*k**3 - 1181*k**3 wrt k?\nAnswer: -16524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/9))**(-38) assuming b is positive.\nAnswer: b**(76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(304)*-2 + sqrt(1216)*-3) - ((1*2*sqrt(1539) - sqrt(1539)) + (1*sqrt(19) + -2 - sqrt(57)\/sqrt(3)*6)))**2.\nAnswer: -272*sqrt(19) + 87860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-56) + 4845\/(-133))*(-3)\/9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -156319811*i**3*t + 6*i**2*t + 3*i**2 + 738*i*t + 3*i - 3*t + 13 wrt i.\nAnswer: -937918866*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 + (-22 - -11))*(3 + 1).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1081\/46 - 2\/(-4). Suppose -a = 3*a + x. Let p(d) = d**2 + 4*d - 4. Give p(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -1323*g + 65. Is z(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.177581 and 0.5.\nAnswer: 0.0887905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12\/7 (b) -4 (c) -0.054 (d) -461 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 99000 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13850 and 88300?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (-3 - 4 - -13) - -1 - -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z - 16 = -4*m, -5*z = -5*m + 15. Which is the closest to 1? (a) 0.4 (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 3*d - 1. What is the tens digit of f(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 647154905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = q + 3300, 3*q + 1819 = 2*h - 8132. Calculate the common denominator of 74\/(-30) + (-1)\/(-2) and 2\/17 - 12649\/q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137 - -132 - (0 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**15)**(11\/8)*a\/(a*a**(-6)\/a)*(a**(-2)\/a*a)\/a assuming a is positive.\nAnswer: a**(197\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-2))\/(1\/(-5)). Let k be 6\/(-15) - (-10)\/y. Suppose k = 12*c - 9*c. Solve -5*i - 15 = -c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s - 44*s + 5*s - 2*s**2.\nAnswer: -2*s**2 - 45*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/20*((-48)\/(-126) + 6\/(-12)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3291, -6567, -9815, -13023, -16179, -19271?\nAnswer: -22287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*j = -0*d - 19, -d + j = 1. Let a(y) = 8*y**2 + y + 2. Let v be a(-1). Suppose 7*z = v*z - 2. Are z and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9090.1 and -626550.\nAnswer: -635640.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 3148908*s.\nAnswer: 4*s*(s + 787227)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 5*o**4\/8 + 61*o**3\/3 - 538*o**2. What is the derivative of r(x) wrt x?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - q = 95, -4*r = r + 4*q - 70. Let b = 37 + r. Suppose -4*o + 0*o = 2*g - 114, -g + b = o. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.39236l in millilitres?\nAnswer: 86392.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-9)\/6*4\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(2\/3)*g)\/g)*g)**(14\/11)*g**(-2\/13)\/g**(2\/27) assuming g is positive.\nAnswer: g**(5672\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 15 = -4*r. Which is the closest to -2? (a) -0.2 (b) r (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 6*d**2 + 9*d + 4. Let w be f(-4). Suppose 3*y + 0 - 6 = w. Suppose 0*g - 4*v = 3*g - y, 0 = -4*g - 5*v + 3. Solve 0 = g*n + 3*n + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 10 + 170 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l + 15 = 0. What is the remainder when 27 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = 3*i - 9*i. Calculate the greatest common factor of i and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -115 in 9\/128, -4, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36 + 58?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17840 divided by -106.\nAnswer: 8920\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 1)*(-2)\/17. Let b be 32\/(-72) - (-13)\/9. Which is greater: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 60*f**2. Let v(b) = b**2. Give r(v(a)).\nAnswer: 60*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 66*q**2 + q - 5. Let o(z) = 134*z**2 + 2*z - 12. Calculate 5*n(v) - 2*o(v).\nAnswer: 62*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)*-1)\/sqrt(6) - (1*sqrt(350))\/sqrt(10))\/((sqrt(1701) + -3*sqrt(1701) - sqrt(1701))\/sqrt(3)).\nAnswer: 2*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4882, 19501, 43864, 77971, 121822, 175417, 238756?\nAnswer: 311839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7900*t**2 + 5008*t**2 - 6728*t**2 - 2385*t**2.\nAnswer: -12005*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*a**3*i*u - 3*a**3*u - 2*a**3 + 8*a**2*u - 5303*a*i*u + 3*a*u + 23*a + i*u with respect to i.\nAnswer: -5*a**3*u - 5303*a*u + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2039995, 4079932, 6119869, 8159806, 10199743?\n\"Answer: 2039937*x + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6859*d**2*j*y**2 - 2*d**2*y - d*j*y**3 + d*y**3 - 115*y**3 - 5*y**2 wrt j.\nAnswer: 6859*d**2*y**2 - d*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 0 + -3 - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2938 + 2938 - 25*p**2 + (4*p - p - 2*p)*(p - 2 + 2).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.52 - -18.52. What is the nearest to 0.1 in 4, -2, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, -0.3, -32, 2\/7, -118253?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*44\/(-3465)*99\/22?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5916666 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 + 76 + w + 18*w**2)*(-2*w - 1 + 1).\nAnswer: -36*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-32)\/24)\/(-2)*(-9)\/(-2). Let x(d) = -6*d - 3. Determine x(b).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 13bc4?\nAnswer: 13bc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40952521859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1434070499?\nAnswer: 157, 9134207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.846859925 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16472 is divided by 499?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -912*j + 908*j + 100 = 0. Suppose 29*k - 24*k - j = 0. Solve 4*x = -2*g + 6, -x - k - 21 = -5*g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 4*y - 40, 4*y + 0*i - i + 189 - 229 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*n**3 + 14329*n**2 - 588101*n wrt n.\nAnswer: 102*n + 28658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*f**2 + 8*f + 21*f**2 + 2*f**3 - 11*f**2 in the form v + d*f**2 + s*f**3 + h*f and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 1:13 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 4*w + w + 10, -5*w = 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4\/9 + 4*q**3\/3 + 2*q**2\/9 - 4*q\/3 = 0 for q.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11393739?\nAnswer: 3, 7, 223, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 798268591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -16617*90.69\nAnswer: -1506995.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12123, -24248, -36373, -48498?\nAnswer: -60623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1189, 2031, 2875, 3721, 4569, 5419?\nAnswer: 6271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 30*g = 31*g - 12531, 3*g = -2*h + 12521. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11286, -3, 2, 3 in increasing order.\nAnswer: -3, 2, 3, 11286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -749\/10 (b) -4 (c) -0.2 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2529 divided by -5795\nAnswer: 2529\/5795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*o + 164*o - 84 = 86*o for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 949 a factor of 1257351927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2033 + -1?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -3*f**5\/5 - 4*f**4\/3 - 14*f - 9. Let r(g) be the first derivative of o(g). What is the third derivative of r(a) wrt a?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86.4776 + -60.58. Let o = i + -25.9. What is o rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82787374?\nAnswer: 2, 163, 253949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -810 - -819. Solve f = -5*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yssq when four letters picked without replacement from syqysqqsyssqsqqsf.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -23*p. Let t(q) be the first derivative of q**2 - 8*q - 1168. What is i(t(z))?\nAnswer: -46*z + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -17*w - 6*w + 60 + 2 - 254*w**3 + 11 - 8*w + 12*w**2. Let o be b(9). What is o rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 165617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(8\/(-24)*-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001997816 rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 10*d**2 - 1. Let o be g(-1). Suppose 6*l = o*l. Let s(p) = p**2 + 2*p + 39. What is the remainder when 232 is divided by s(l)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + m**2 + 0)*(-1 - 12*m**3 - 103*m + 250*m - 131*m).\nAnswer: -12*m**5 + 16*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/2 - 0\/(-2). Let n = 4 - z. Let s(l) = -1. Let k(f) = -f - 1. Let c(q) = -k(q) + 5*s(q). What is c(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g - 8*g + 2*g + 0*g + 6. Let p(l) = 25 - 5 - 13 - 6. Calculate -2*f(o) + 10*p(o).\nAnswer: 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47766 and 4518?\nAnswer: 35967798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -2)\/(-1 + 3). Let q be (1 + n)*-2 - -5. Suppose 0 = -5*j + 4*j + q. Solve -j*r + 15 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -6 (c) -0.3 (d) 4 (e) 0.2 (f) -3 (g) 3685\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:05 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/545010 and 31\/255320?\nAnswer: 28340520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 3*y - 33, 2*z - 4*y = -0*z + 44. Suppose 4*c - 12 = -2*d, 3*c + z = 2*d - 0*d. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3729 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**3 + 3056*g**2 - 12140*g - 15200 = 0.\nAnswer: -1, 5, 760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*a**3 - 4\/7*a**2 - 2\/7*a + 4\/7.\nAnswer: 2*(a - 2)*(a - 1)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (334\/(-20) - -1)\/(32 - 29) and 38\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36087 - 36077. Put -1\/3, o, 2, -3, -27 in descending order.\nAnswer: o, 2, -1\/3, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3665 - 16*g**2 - 22*g**2 - 3663 - 4*g + 12*g**2 - 9*g**3 to the form d*g + h*g**3 + q*g**2 + l and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 7*t + 9. What is r(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 43 = -2*x - 5*c, -4*c = -x + 8. Let d be (79 - 0)\/(x\/360). What is d rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191160857 to the nearest integer?\nAnswer: 13826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -s, -2*s + 1035 = 3*l + 272. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**3\/13 - 12*m**2\/13 + 54*m\/13 = 0.\nAnswer: -9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(2 + 0 + 4 + 1*sqrt(2057) + -3))**2.\nAnswer: -18594 - 594*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o\/(o*o**(1\/10)\/o*o))\/(o**4\/o**(-2\/21)) assuming o is positive.\nAnswer: o**(-881\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -64367335, -64367340, -64367349, -64367362, -64367379?\n\"Answer: -2*d**2 + d - 64367334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqqq when four letters picked without replacement from qsqqqqsqqsqsqqqsqqq?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + d. Let p be c(-2). Let g be (p\/27)\/(4\/(-12)). What is the biggest value in -5\/2, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118313 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111111101 (base 2) in base 11?\nAnswer: -3507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*o + 20946 = 62*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 0*s**5 + 0*s - 1\/105*s**7 + 0*s**6 + 0 - 47*s**2 + 5\/3*s**3 - 1\/3*s**4. Differentiate p(j) wrt j.\nAnswer: -8*j**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 264\/5 + -53. Sort 1, 3, i.\nAnswer: i, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/15 + -3\/5. Suppose -2*v + 2 - 4 = 0. Is v at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*p - 5*o, 3*p - 4*o = -7*o - 3. Let n be p\/14 - (-64)\/28. Find the first derivative of -2*l**4 + l**2 - l**n - 9 + 6*l**4 wrt l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.3 + -3. Let c = -14551069\/210 - -69291. Let n = -1\/35 + c. What is the third biggest value in y, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + -3 + (-1 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 11. Let b = 1747\/3 - 72209\/124. Let s = -559\/372 + b. What is the smallest value in -0.3, a, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4852.4 rounded to the nearest 10?\nAnswer: 4850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138911 is divided by 12612.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12765620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.18 - 7. Let f = -0.32 - n. Suppose -5*m + j + 23 = 0, -4*m + 4*j + 0*j + 12 = 0. Which is the second smallest value? (a) m (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 - 59*r**2 + 31*r - 67. Let y be s(29). Let o(l) = -2*l**3 - 19*l**2 - 10*l - 15. Calculate o(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 3:33 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 314, -1067, -2448, -3829, -5210?\n\"Answer: -1381*a + 1695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 474900 and 193849.\nAnswer: 668749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -124770284 rounded to the nearest one million?\nAnswer: -125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -33. What is the closest to -7 in 1\/4, h, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -441 * -0.2\nAnswer: 88.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 5 + 38)*(-10 - 104 - 9 + 9)*(-o + o + o).\nAnswer: -4104*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -5*d + 12. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14415 and 2120710?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1538667.53 * -4.\nAnswer: -6154670.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3657\/(-6))\/(-53))\/(((-18)\/(-4))\/9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**4*p)\/(p*p*(p*p**(-5)*p)\/p))**32)**(-33))**(-20) assuming p is positive.\nAnswer: p**147840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**3 + 2*u**3 + 4*u**3)*(-2*u**2 - u**2 + 5*u**2) + u**5 - 3*u**5 - 3*u**5 + 4*u**5 - 2*u**5 + 0*u**5.\nAnswer: -u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2100 and 1596.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 1.8347\nAnswer: 9.1735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2784729, 2784378, 2783801, 2783004, 2781993, 2780774, 2779353, 2777736?\nAnswer: 2775929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 288 + -158 - 125 - (-62 - (-2 + -2 + 4)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8813 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 478? (a) -4 (b) -4\/7 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 3. Suppose -8*x = -7*x. Suppose i = -4*g - 4, x = -3*g - 2*i + 1 + 1. Let n be (1 + g)*(-13 + 6). Give k(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 4*y - 2*o + 4, 5*y + 5*o = 10. Suppose -396 = -y*p - 3*p. Suppose -5*v + 133 = -p. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 2\/5, 3\/2, -30?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnnnbdjbjncmcdncm. Give prob of sequence jn.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2427, -9712, -21853, -38850?\n\"Answer: -2428*k**2 - k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*r - 51*r - 57*r - 10 + 5*r**2 + (2*r + 2 - 2)*(-4 - 2*r + 4) to d*r + f + n*r**2 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 12101111?\nAnswer: 12101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 25*t**2 + 25*t - 24. Let c be n(-26). Solve 4*y = 2*y - 6, 16 = -c*h - 4*y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 6. Let p be f(10). Suppose 3*c + 1 = -14. Let l be (-2*1\/3)\/c. What is the nearest to 0.2 in l, -5, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 - 2491e?\nAnswer: -2493e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 8*y - 50. Calculate the greatest common factor of 60 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5808 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 662.6 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-2)\/(-4)*280\/4. Suppose 4*z = 5*w - 10, -5*w - d = z + 4*z. Let b = -985\/9 + 107. Which is smaller: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 30 = 2*j - 5*c, -2*j + 3*c + 15 = 0. Solve -3*u + j*k + 4 = -8, 0 = 5*k + 25 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/2, 621, 0.5, 0.1, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 9. Factor 213 + g*n - 3*n - 213 + 2*n**3 + 6*n**2.\nAnswer: 2*n*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2569*t**3 - 4866*t**3 + 3498*t**3.\nAnswer: 1201*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 2*k**3 - 99*k. Let v(x) = 0*x**2 + 3*x**2 + 5*x**2. Calculate t(v(q)).\nAnswer: 96*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 623 * 233\nAnswer: 145159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 3:44 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 299\/1365 + (-2)\/6. Let f be 433\/420 + 2\/(-8). Let v = j + f. Sort 1\/6, v, -0.2.\nAnswer: -0.2, 1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 70\/56 + (-9)\/(-12) - -30. Suppose 12*p - 330 = 2*p. Is p greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.25411533 to two decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 6*h**2 - 4*h - 2. Let q be i(5). What is the units digit of 7 + (-3)\/(q - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffkkdkdfkdifdddkdxf. What is prob of picking 1 k, 1 i, and 2 d?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -17. Suppose 2*a + 4*r - 2250 = j, 304 = -4*a - 4*r + 4788. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11042, -10530, -10032, -9554, -9102, -8682?\nAnswer: -8300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let u = 0.2 - i. Is -1 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -148*y - 61. Let b = -83 - -90. Let v(g) = -74*g - 30. Let q(j) = b*v(j) - 4*t(j). Differentiate q(z) wrt z.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(27\/4374*-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, o: 3, t: 1, i: 9}. What is prob of picking 1 f and 1 t?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2292 by -2396.\nAnswer: -573\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/23)*d**(-6\/7)*d**(-7)\/(d\/(d*(d\/(d*d**(-12)))\/d)))**(-3) assuming d is positive.\nAnswer: d**(-1476\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 750 (b) 4 (c) 5\/3 (d) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*i - 47. Let a(d) = -2*d**2 + 4*d + 5. Let v be a(4). Let x = -3 - v. Calculate the remainder when i is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(-2*sqrt(3) - sqrt(3)) + sqrt(7) + 1 + -5 - sqrt(70)\/(1*sqrt(160)))**2 + -1.\nAnswer: -10*sqrt(7)\/3 + 2335\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.04752 and -0.02866.\nAnswer: -0.07618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25725*o**3 + 4171*o**2 + 430047415*o?\nAnswer: -154350*o + 8342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -1202110?\nAnswer: 1202114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 27. Suppose -3*y + y = -34. Calculate the highest common factor of y and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224495 is divided by 56121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(3)*2))\/(sqrt(21)\/(1*sqrt(3))) - (sqrt(21)\/(sqrt(35)\/sqrt(5))*2*4)**2.\nAnswer: -192 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 524 + 1040 - 520)*(-1 - 12 + 3).\nAnswer: -30*c + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away -63.1077830929?\nAnswer: 57.1077830929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8a + -4156?\nAnswer: -40bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -34 + 6. Suppose 5*q - 10 = 0, -5*q + 3*q = 3*t - 10. What is the remainder when n is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 11 + 9. Suppose a + 260 = h*m, -5*m + 134 + 191 = 2*a. What is the greatest common divisor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (1 - -2)) + 19 + -28 + 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nssisisnicissss. Give prob of sequence csi.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 - 2*y**2 + 0*y**2. Suppose 2*s - 4 + 0 = 0. Let x(b) = 5*b**2 - b**s - 2*b**2. Determine z(x(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10 + (-9)\/3)*-1. Let v = -6 - k. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 26 = 2*o + 11*p, p = 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 7*w**2 + 19*w + 22. What is q(-8)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8*v + 9. What is k(2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-20)*(-16)\/(64\/30).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -8. Let k(t) = t**2 - 23*t - 54. Let n be k(25). Which is the nearest to 1\/4? (a) n (b) q (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24.9220095576 - 24.922. Round f to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*i - 21 = 73*i. Solve -i*w - w - 20 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21948, -21949, -21950, -21951?\n\"Answer: -v - 21947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 + 68 + 27 - 138 + n**3 + 2*n**3.\nAnswer: 2*n**3 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12002838?\nAnswer: 2, 3, 739, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145734 is divided by 508?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1749 is divided by 867?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 530333201 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1.4 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 197\/1320 and -79\/220.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009948309 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 35 = -0*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6176.3 + 6175. Which is smaller: 1.15 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 434.70475 to 1 decimal place.\nAnswer: 434.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 651 and 27?\nAnswer: 5859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*c**3 + 24*c**3 - 30*c**3)*(-28 + 28 + 6*c).\nAnswer: -288*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + 4 + -26 + (-24 - -24)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17200 divided by 1720?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 151, 161, 175, 193, 215, 241?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244 + 222 + (5 + (-7 - 0) - 85).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/2, -0.05, -0.2, -1, 4\/9, 32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3187512, 6375014, 9562516, 12750018, 15937520?\n\"Answer: 3187502*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 t, and 1 j when three letters picked without replacement from hthjdty?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/1 + -9 + (2 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4119, 5\/2, -0.42.\nAnswer: -4119, -5, -0.42, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 4*w - 1. Let a(y) = -27*y**2 - 14*y + 7. Determine -a(s) - 3*n(s).\nAnswer: 24*s**2 + 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.56. Let n = -0.14 - g. Which is the closest to n? (a) 4 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 1:04 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*t + 2476 = 0, 0 = v + 2*t - 184 - 2262. List the prime factors of v.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*a = -2, 4*x - 8*a + 22 - 2 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7187 + 7556. What is the highest common divisor of l and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 10 (b) 4 (c) -0.1 (d) -1635\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -9*x**2. Let z(q) be the first derivative of -q**2 + 5. Give z(t(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1573) + (3*sqrt(143))\/sqrt(11) - (-4 + sqrt(468)*1 + 3))**2.\nAnswer: -16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1672860.\nAnswer: 2, 3, 5, 7, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, -5, -1, -99 in descending order.\nAnswer: -1, -5, -66, -99","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 4*z + 14. Give t(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -34205.11 and -3.\nAnswer: -34208.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -100 - (-27 + 58 + -42)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9172*r = -2*z + 9170*r - 12, 4*z - 4*r = -8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -308.4293694 - -320.42937. Let q = 14.5 - 2.5. Let c = q - v. Round c to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -331\/42 - -54\/7. Let k = 21.9 - 21. Which is the second biggest value? (a) t (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 12*k + 5*o - 2 = 0, 2*o = -2*k + 2. Calculate the greatest common factor of 11 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.178455l to millilitres.\nAnswer: 3178.455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 64 * -1.1\nAnswer: -70.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*a = 3034, -2*a = -u + 182 + 836. Suppose -2*g + 100 + u = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m - 61. Calculate the remainder when m is divided by ((-2)\/3)\/(24\/(-756)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 838031.5 centimeters to micrometers.\nAnswer: 8380315000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 12*t + 4 - 16*t)*(0 + 5 - 4) in the form s + m*t and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004174461 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 92606\nAnswer: 9\/92606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134 + -150. Let y(a) = -69*a - 58. Is y(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 minus -0.72749?\nAnswer: 13.72749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51621, -51634, -51659, -51696, -51745?\nAnswer: -51806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 + 189*c**2 - 72 - 65 + 178*c**2 - 369*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, x: 2, c: 1, e: 8}. Give prob of picking 1 e, 2 x, and 1 c.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3 - (-1407892)\/(-120). Let o = -11722 - b. What is the common denominator of o and 95\/54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 305264255 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**2 + 1. Let q = 9 - 36. Let d be 6\/q + (-22)\/(-18). What is the units digit of p(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 2*t**2 + 65*t + 30. What is the smallest common multiple of 1038 and s(0)?\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 300*u - 295*u - w - 171041, -u + 34210 = -2*w. List the prime factors of u.\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x**(-2\/79)\/x)\/x)\/x*x)\/(x\/x**(2\/27))*(x*x**(-1\/4))**(-1\/30) assuming x is positive.\nAnswer: x**(-168613\/85320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - f**3 + 0*f**3 + (4*f - f - 2*f)*(-f**2 + 0*f**2 - f**2) - 3*f**3 - 2*f + 2*f + 0*f**3 - f**3 + 4*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10534*c**2 - 6356*c + 105779004?\nAnswer: -21068*c - 6356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 772 and 40723.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 295*g**2*q**2 - g**2*q + 28*g**2 - 2*g*q**3 - 103*g + 1 wrt q.\nAnswer: 590*g**2*q - g**2 - 6*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4491 + 8265 = 697*b - 1634 - 10005 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 3*s - 6*s - 24 = 0, 2*z - s + 3 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -299 and 4.\nAnswer: -1196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 - 10*b. Let r(v) = -v**3 - v. Let y(s) = g(s) - 6*r(s). What is the second derivative of y(w) wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {a: 2, k: 2, j: 1, p: 1, m: 1, l: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 6686, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*j - 1836 = 6726, j - 42791 = -5*v. Suppose -v - 5162 = -a. Suppose 5*p = 20, -3*k - k = -3*p - a. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Let i = d + -2.2. Which is the second biggest value? (a) 3\/7 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - a**2 + 11*a - 20. Let b be w(0). Let o be -5*(8\/5 - (22 + b)). Factor 1\/2 - 1\/4*m**o - 1\/4*m.\nAnswer: -(m - 1)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 + -4) - (8 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/207 + -191\/828. Let i = -56.2 - -56. Let g(m) = 2*m**2 + 2*m + 1. Let q be g(-1). What is the closest to q in i, t, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-8)\/10)*-1. Suppose 0*h - 3*h + 34 = 4*n, -s*h + 4*n + 110 = 0. Let t = h - 8. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8\/449 - 1673407\/898. Let y = j + 1822. Find the common denominator of -15\/4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*q + 12, 3*q + 10 = -2. Solve 3\/5*j**2 - 4\/5 + 1\/5*j**3 + x*j = 0 for j.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r + 9*r + 1 - 4*r.\nAnswer: 23*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -480.0587 - -478.03. Let m = -0.0287 - n. Is m at least -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4378 - -4354.97. Let s = t + 23. Sort s, 1, -3 in descending order.\nAnswer: 1, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 7*t**2 - 2*t + 23. Let n be v(-7). Let d = 38 - n. What is the common denominator of (915\/125 - d)\/(4\/5) and 11\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 226 + -157. Let i be 54\/(-81)*(-3 - h). Calculate the highest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 360346448?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 30*x**2 + 132*x + 731. Determine t(-26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, x: 5}. Give prob of picking 4 w.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Suppose 2*a - 5 + 3 = 0. Solve 3 = u*g - a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5567, 5536, 5505?\nAnswer: 5474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/3 - 254*i + 38023\/3 = 0. What is i?\nAnswer: -809, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - 3105?\nAnswer: -3122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2 + 840*h - 842 = 0 for h.\nAnswer: -421, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 t, and 1 h when four letters picked without replacement from {l: 7, y: 5, w: 3, h: 3, t: 1}?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 23*x - 25*x. Suppose -7*y - 20 = -x. What is the tens digit of (16\/(-40))\/((-2)\/y) + 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(242) - sqrt(242) - sqrt(242))*2)**2 - (1*sqrt(242) + (sqrt(8)*2 - sqrt(2))).\nAnswer: -14*sqrt(2) + 968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 34*r + 177 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -462\/5 + 92. Let v(f) = 5*f**2 - 6*f - 31. Let i be v(3). Let p = -4 + 4. Which is the nearest to -3? (a) i (b) p (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -58*117\/(-52)*(-2)\/(-3). Let a = j - -10. Let r = a - 78. Calculate the greatest common divisor of 38 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 175 or 177?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73 - -73. Suppose 3*w**3 - 63*w**2 + 2*w**3 + 73*w**2 + v*w**3 = 0. Calculate w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**2 + 897*u - 1. Let v(t) = 4463*t. Calculate v(m(o)).\nAnswer: 17852*o**2 + 4003311*o - 4463","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*y = -6, -4*y = -m + 2*m - 3. Suppose 5*j = -4*t + 443985, 444003 = -m*t + 7*t - j. Round t to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 20*v + 153140 = 10*v. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6781890283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 5*l + 40. Let q = -9 + 6. Let y = l - q. Solve 4*j = 3*c + y, -3*c = -4*c + 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 12*k**2. Let y(j) = -19*j. Calculate p(y(o)).\nAnswer: 4332*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-86 - -107) + -42)\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -306 + 322 + (2 - 34) + (-1 - 40)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11416492146.95 plus 0.4?\nAnswer: -11416492146.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 10:16 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -5, -0.1, -16, 0.1 in descending order.\nAnswer: 1\/4, 0.1, -0.1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 289 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -315 and -0.581.\nAnswer: -315.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -1*(5 - 2). Let z(d) = -4 + 11 + 19*d - 13*d. Let k(g) = 2*g + 2. Let u(s) = 8*k(s) - 3*z(s). What is u(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 3*c. Let m be g(-6). Let f(n) = -n**3 + n**2 + 4*n - 22. Let r be f(0). Let v be ((-187)\/r)\/(1\/(-2)). Is v equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnnp when four letters picked without replacement from pvnvvnqqvnvnvropnnqp.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 25. Let o = -4 - -4.3. Let m = -0.2 - o. Which is the second biggest value? (a) -5 (b) m (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -1651*s + 47. Let p be k(-7). Suppose 4*d - 130410 + p = -2*z, -2*d = 2*z - 59406. Round d to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + (sqrt(91) - sqrt(91)*3*-4))\/(sqrt(112) + sqrt(112) + sqrt(112)*4 - sqrt(112)))**2.\nAnswer: 637\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-20)*10\/(-3). Let j be 1 - (2 + n*1). Suppose -j*s - 2*s + 4*s - 4*s**2 = 0. Calculate s.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -231 smaller than -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7011 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**4 - 2 + 4*y - 3*y + y**2 + 5*y**4 as q*y + t + g*y**3 + m*y**4 + n*y**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -1\/8, -1\/4, -2\/63 in decreasing order.\nAnswer: 4, -2\/63, -1\/8, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = -5 - 91 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2588, 2585, 2580, 2573, 2564, 2553?\n\"Answer: -n**2 + 2589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h. Let l(p) = p + 4. Let w be l(0). Let x(s) = 0*s - w + 4 + 2*s. What is -4*o(i) + 11*x(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (601 - 351*u - 300 - 301)*(0 + 0 - 1)*(-9*u**2 - 8*u**2 - 3*u**2).\nAnswer: -7020*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 22*p + 83. Determine t(-9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 199669744 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2821*g + 532. Let y(m) = 313*m - 57. Let p(u) = 3*i(u) + 28*y(u). Let a(c) = -2*c**2. Calculate p(a(x)).\nAnswer: -602*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 6. What is the third derivative of -9*t**j + 0*t**6 + 9*t**2 + t**6 wrt t?\nAnswer: -960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*k**2 - 198*k**2 + 365*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 142033103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 10 = y, -32 = -5*y - 4*x + 13. Suppose 6*f - y*n = f, -n + 8 = f. Solve f*m - 8 = -4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -0.4, 13, 19 in descending order.\nAnswer: 19, 13, 1\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 46, 85, 122, 157, 190?\n\"Answer: -z**2 + 42*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6551454*p - 2. Suppose -w = 4*w - 15. Let z be g(w). Let s = -33254364 - z. What is s rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 40765.55 nanograms?\nAnswer: 0.00004076555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4*0\/(-1). Let v(z) = -z**3 + 4 + z**3 - z**3. Let n be v(c). Solve 3*b = -n*r + 2, -2*r + 0*b - b + 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1881 and -65\/88.\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25\/20*4*1. Solve 4*t + w - 13 = 0, 4*w + w - 20 = -s*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8400 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: Expand (3 + t**2 - 3)*(2 - 2*t - 2) + (0*t**2 - t**2 + 2*t**2)*(-4*t + t + 4*t) + (4*t**2 + 4*t**2 - 6*t**2)*(-36 + 26 + t - 3*t).\nAnswer: -5*t**3 - 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1281 and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3344904461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2 = 0, 3*j = 2*n - 7 - 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 226480, 22 in decreasing order.\nAnswer: 226480, 22, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 at least as big as -712\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/608 and -103\/76.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.45 - 942300645.\nAnswer: -942300646.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 54 = 2*s. What is the units digit of (-1)\/(s\/(-28) + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-14)*(-2520)\/(-2880).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + 2*sqrt(98))\/sqrt(7))\/(sqrt(32)*2) - (((-4*sqrt(252))\/sqrt(4))**2 + 1).\nAnswer: -1009 + 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 + 170. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2 - 8) + -2)*1. Let d = c - -34\/3. Is d greater than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5199 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 47*j + 128. Let q be o(8). What is the units digit of (-112)\/q - (3233\/(-9) - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20213101 - -17?\nAnswer: 20213118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 3 - 12. Let a be (0 - -9)*v\/9. Let g be a\/(-4) + (-258)\/(-24). Solve 0 = 4*z + 2 + g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228582028+-14.4\nAnswer: 228582013.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2240\/336*(2 + -5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043342551 to the power of 1\/4, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699779 is divided by 877.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 4 - 0. Suppose 7 - 2 = 5*r, -5*w - 3*r + 3 = 0. Sort 5, w, u.\nAnswer: u, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006527458 to six decimal places.\nAnswer: -0.000653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 s when three letters picked without replacement from {e: 1, s: 4, v: 8}?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 2, -8, 1, -658 in increasing order.\nAnswer: -658, -8, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -384817410 by 1313370.\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y + 1\/12*y**4 - 1\/2*y**3 + 0 + 3\/2*y**2. Calculate c(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*r - 5 + 16 - 11)*(4194*r**2 - 4194*r**2 + 190*r**3).\nAnswer: 2470*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**5\/20 + y**4\/12 + y**3\/6 + 3*y. Let z(i) = 4*i**3 + 2*i**2. Let c be -1*3*(-5)\/(-15). Determine c*z(n) + 2*r(n).\nAnswer: -2*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, s: 5, p: 5}. Give prob of sequence sxp.\nAnswer: 25\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 6 = 2*v, -8*x + 6*x + 9*x = -0*x + 4*v + 31 - 24 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*j - 3*z, j - 22 = -z + 5*z. Suppose -4 = -2*w + j, 2*v - 141 = w. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rprbrrrjrorr. Give prob of sequence op.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -53, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -9.61.\nAnswer: -14.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79 - -81. Let h be (3*-1)\/(15\/13670) - d. Let r = -1487 - h. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1644?\nAnswer: -1644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18271, -36541, -54811, -73081, -91351, -109621?\n\"Answer: -18270*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 1 m when three letters picked without replacement from epkukvupueemk?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1408869)\/135355 + (-6)\/(-690).\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 7:19 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000539478 to 6 dps.\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3630 divided by 1210?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 - 2280*k + 6806. Give l(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (46 - (-18)\/(-6)). Let t = -247 + 732. Let d = t - u. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11530 = 33*f - 4310. Let a = f + -480. Suppose 2*c - 3 = 5*c. Sort a, c, 4, 5 in descending order.\nAnswer: 5, 4, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 16) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2 + d + d - 11. Let r be z(6). Factor -2*j**r - 1 + 1 + 5*j + j + 4.\nAnswer: -2*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421673.\nAnswer: 7, 59, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 41.3862 millilitres?\nAnswer: 0.0413862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -30306?\nAnswer: -242448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5080 - -5094. Solve 35 = -j*y + 21*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.62218nm to centimeters.\nAnswer: 0.000005862218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:00 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1295882 divided by 1226\nAnswer: -1057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29745*t**5 + 67906*t?\nAnswer: -594900*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.222, -3\/5, -3, -746 in decreasing order.\nAnswer: 0.222, -3\/5, -3, -746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16 + 8.16. Let f = o - 7.7. Which is the nearest to f? (a) -1\/2 (b) 4 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5173 + -5175. What is the second smallest value in m, 121, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/22 + (-8)\/(-44). Suppose 2*g + 2*g - 44 = l. Let m(v) = 8*v - 1. Calculate the remainder when m(4) is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 376 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 22, 4\/3, 1, 2 in descending order.\nAnswer: 22, 2, 4\/3, 1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 13) to base 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 0*p + 267 = -5*l, 262*l - 236 = -183*p + 263*l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -313*t - 5904*t + 1068*t - 5113*t - 2427*t to y*t + d and give y.\nAnswer: -12689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 327476807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 363 + -143. What is the common denominator of (-3)\/(-9) - z\/(-105) and -32\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -23, -30, -37, -44, -51?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -15*o - 4. Let t be q(4). Let y = t + 121. Suppose -5*w + 4*w + y = 0. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 + 4*u**3 + 56134*u - 112252*u + 6*u**3 - 108 + 56118*u.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/7 - (-3654)\/441?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**4\/b**(-3)*b**(-2\/7)*(b**(-6)*b*b)\/b*((b\/(b\/(b\/(b*(b\/(b*(b*(b\/(b\/(b*b**(-6))))\/b)\/b*b))\/b))))\/b**(2\/3))**44 assuming b is positive.\nAnswer: b**(-4276\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 17*a**2. Let s(l) = 5*l + 1668 - 1668. What is s(y(f))?\nAnswer: 85*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 0.5 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 z, 1 g, and 1 i when four letters picked without replacement from {i: 1, e: 1, z: 5, g: 5}.\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - x - 15 = 0, 49*x + 45 = 5*s + 53*x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/1280 and -47\/45559296?\nAnswer: 227796480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10452 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 2)*(563 + 42*b**2 - 563) in the form r*b + h + l*b**2 and give l.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/249660 and 47\/20805.\nAnswer: 249660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 36 - 48 = 0. Calculate the lowest common multiple of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -884, 0.1005, -3, 5.\nAnswer: -884, -3, -1.1, 0.1005, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21240\/7, -26, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 149923 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 8 + 11)*(2*m**3 + 2*m**3 - m**3 - 6*m).\nAnswer: 18*m**3 - 36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*1)\/sqrt(9) + -4*sqrt(360) + sqrt(10))\/(sqrt(35)\/sqrt(448) - sqrt(605)*2).\nAnswer: 176*sqrt(2)\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 1:07 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-72)\/(-4)*406. Let f = -146133\/20 + y. What is the common denominator of f and 9\/55?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(500)*2 + 4.\nAnswer: -20*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 111100001100000111110?\nAnswer: -111100001100001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l - 635 + 802 = 4*r, -4*r - 5*l - 75 = -0*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1, -4.5, -3, -14, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/5 + (-16)\/80. Sort -5, -4, -1, f.\nAnswer: -5, -4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62934*m**3*u**3 + 3*m**3*u + m**3 - 3*m**2*u**3 + 29246*m**2*u**2 + 2*m**2*u - 2*u**2 wrt u.\nAnswer: -377604*m**3 - 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056\/192*(-840)\/(-154)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -17. Suppose -2 = x*f - 12. Suppose 14 = t - f*l, -4*l + 4 + 28 = t. Calculate the remainder when 99 is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -68*v**5 - 12887*v**4 - 620150*v**3 - 898460*v**2 + 546328*v - 70688 = 0?\nAnswer: -94, -2, 4\/17, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*d**3*t - 8*d**3 - 17*t - 1 with respect to d.\nAnswer: -30*d**2*t - 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 3 + 3 + 2*p**2 - 3*p**2 + 3*p**2 + (-p + p + p)*(-4*p + p + p) + p**2 - 2*p**2 - p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r + 40. Suppose -v + 0*v - r = -4*g, -15 = -3*g - 2*v. Find the second derivative of -z - z**5 - z**g + 0*z**5 wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -30. Let i be (-4)\/((-48)\/(-28)) - 9\/(-27). Sort a, 1, 5, i.\nAnswer: a, i, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.9, -1, 2\/197?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -34*o**4 - 3*o**3 + 2*o + 187. Let x(n) = -35*n**4 - 4*n**3 + 2*n + 188. Let i(c) = -4*t(c) + 3*x(c). Find the first derivative of i(u) wrt u.\nAnswer: 124*u**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 0.9. Let k = h + -1.5. Let f = -10 + 11. What is the second smallest value in k, 1\/8, f?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1260 = -4*k, 0 = -76*u + 81*u - 4*k - 1578. Let q = 306 - u. Sort 1, 5, q in ascending order.\nAnswer: q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - f - 8*f**2 + (f + 5*f - 4*f)*(-3*f + 4*f + 0*f) - 4*f**2 + 0*f + 0*f - 18*f**2 + 23*f**2 + 28*f**2.\nAnswer: 23*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89297328?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 3:19 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**4\/72 - g**3\/9 + g**2\/3 - 18*g. Solve f(t) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 577*t + 4. What is h(2)?\nAnswer: 1158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.4. Let l = -0.5 - 2.5. Which is the nearest to l? (a) x (b) -0.2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/9 - (-6)\/(-9). Let o(g) = -4*g**2 - g**2 + 10*g**q. Let h(s) = s**2 + 3*s. Let t(p) = 2*p**2 + 8*p. Let x(d) = 8*h(d) - 3*t(d). Give x(o(v)).\nAnswer: 50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 4:44 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = 5*y - 171. Let f = -52011 + 2704465\/52. Find the common denominator of (5 + y)*(-5 - 369\/(-54)) and f.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9 = -t, -2*z + 4*t + 12 = 2*z. Solve -n + 3*o = 6, 2*n = -n + z*o + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11210323 + 11?\nAnswer: 11211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 3002000230?\nAnswer: 3002000232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 942704 a multiple of 443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, 4, -5, -0.05, 132\/5.\nAnswer: -5, -0.05, 0.2, 3, 4, 132\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*95\/((-2950)\/472*(-2)\/(-5))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 224 + -102. Suppose 2*h - k = 52. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.6676441nm?\nAnswer: 0.00000006676441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(4 - -4) - -610. Let u = j + 173. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**5 - 12111*o**4 + 427893*o**3 + 1356315*o**2 + 1380522*o + 464208 = 0. Calculate o.\nAnswer: -4072, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 53001?\nAnswer: -53000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -10769.\nAnswer: 14\/10769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**3 + 5*l**2 + 5*l + 1. Let y = -1 + 4. Let r(x) = -3*x**2 - 6*x - y*x**2 + x**2 - 1 - x**2 + 5*x**3. Calculate -5*r(j) - 6*t(j).\nAnswer: -j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 198148806?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -34*j - 202. Let n be x(-6). Sort 5, 0, n, 31.\nAnswer: 0, n, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10221, 10220, 10233, 10272, 10349, 10476, 10665, 10928?\nAnswer: 11277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 202 - 143. Calculate the common denominator of (g\/(-12) - 1)*-2 and 32\/(-7) - -2*(-6)\/(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(170)\/sqrt(90) + 3)**2*-4 + -3)*4.\nAnswer: -7948\/9 - 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**6\/1080 + k**5\/120 - k**4\/36 - k**3\/3 + 7. Let p(j) be the third derivative of w(j). Find v, given that p(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11102 (base 6) to base 7\nAnswer: 4343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6232 (base 7) to base 8\nAnswer: 4203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = -2*v + 11*x - 44, 2*x = -2*v - 38. Let g be (3*(-3)\/v)\/(15\/10). What is the biggest value in g, -3, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/18*3\/(-2). Let y = -20 + 16. Sort y, 3\/7, o.\nAnswer: y, o, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5180 - -10884. Is p a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**3*i*v**2 + 37*d**3*v**4 + 1575*d**2*i*v**4 + 5*d**2*i*v**2 + 85*d**2*v - 59*i wrt v.\nAnswer: 888*d**3*v + 37800*d**2*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*o = 4*c - 3, 0 = 2*c - 2*o. Does 1\/97 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, b: 5, i: 4}. Give prob of picking 1 z and 3 b.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/27)\/((-4)\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2 = 3*y, 3 = 4*y - 5*v - 7. Let g be (-2874)\/(-2) - y\/((-1)\/1). Let z = g + -980. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4 = -2*s + c, s + 3*c = 9. Let q(y) = y + 25. Let n be q(-17). Let v(f) = 2*f**2 + f - 2. Let u(p) = -6*p**2 - 2*p + 6. Calculate n*v(m) + s*u(m).\nAnswer: -2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c**2 - 3*c**2 - c**2)*(7725 + 673*c - 7725) to the form w*c + k*c**3 + q + l*c**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 302.2567 meters in kilometers?\nAnswer: 0.3022567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*n + 10. What is the third derivative of 5*u**2 - 8*u**n + 5*u**4 + 13*u**2 wrt u?\nAnswer: 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 + -46 + 91\/10)*20\/(-15)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 8:51 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000026389 rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g + 4. Give k(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -2 (c) 22 (d) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = 27*u - 24*u. Suppose -4*j + u = 55. Suppose -w + 19 = 4*q, -4*q + 0*q + 1 = -5*w. Calculate the remainder when j is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12443521.\nAnswer: 12443521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.8 and 269952.\nAnswer: 269956.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -30*q + 148. Give m(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18109 + 11*d**3 - 86*d**3 + 18109.\nAnswer: -75*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (42\/45)\/7*10*3. Let z(s) = s**2 + 9*s - 7. Let a be z(-10). Suppose y - a = 1. Solve u*q + 16 = -y*p, -q - 4 = -0*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**4 - 355428*h**3 = 0.\nAnswer: -118476, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 17*q**2 - 89*q - 636. Give h(-14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((((sqrt(228) + sqrt(228)*-1)*5 - sqrt(228)) + sqrt(228))\/(sqrt(144)\/sqrt(3)) + (sqrt(475) + -3 + (sqrt(19) - sqrt(171)*1))**2).\nAnswer: -90*sqrt(19) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53969*p + 3 - 2171*p - 2 - 5476*p - 6265*p.\nAnswer: -67881*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4044 and 5388?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 162 = 98. Let y = v + -41. Calculate the highest common factor of 88 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 4. Suppose -7*x + 4 = -6*x. Let g be z(x). List the prime factors of (7 + -8)*(g + -37).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1582)\/(-26) + 12\/78. Find the third derivative of 4*w**5 + 61*w**4 - m*w**4 + 10*w**2 wrt w.\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/4 + -2)*-14. Suppose 197 = 2*n + 137. Suppose -42*s + n = -54. Solve 5*x = g - s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 0)*(-11 + 14 - 2). Which is smaller: -20\/67 or g?\nAnswer: -20\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9500, -37631, -84516, -150155, -234548, -337695?\nAnswer: -459596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 451 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/2)\/(2\/12). What is the second derivative of -12 - 5*v**5 - 3*v + 4*v**5 + c wrt v?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 7, v: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 46.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6091, 6081, 6071?\n\"Answer: -10*j + 6101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*d = 5*h + 3, h - 6 = -5*d. Let m be -1 - (-3 + 3 - h). Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7130*w**2 - 56253*w wrt w?\nAnswer: 14260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjttjjjtjjjjjjjtjjjj. Give prob of picking 3 t.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*r + 193*r**3 + 138*r**3 - 332*r**3 - 2*r**2 - 3*r**4 + 117*r to the form z*r**4 + q*r**2 + m + y*r**3 + v*r and give v.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484839 is divided by 834.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.409848577 to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 2120*j**3.\nAnswer: 5*j**3*(j + 424)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -262838.59 to the nearest one hundred.\nAnswer: -262800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - c + 5*c = -204012, 102015 = y - 5*c. What is y rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 4. Let d be r(-6). Suppose 2*j + 14 = 4. Let w = 7 + j. Solve d - 7 = 5*y, -w*g = -y - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/70)\/(32\/9346). Let w = v + 128\/35. Find the common denominator of w and (-6)\/(-4)*278\/18.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 8:47 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z**3 + 10*z**2 + 3*z - 7. Let u(k) be the first derivative of -3*k**4\/2 + 3*k**3 + 3*k**2\/2 - 6*k - 5045. Give 4*p(o) - 5*u(o).\nAnswer: 2*o**3 - 5*o**2 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011231202 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, q: 2}. Give prob of sequence qwqw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2142*t**2. Let g(r) = 23*r. Give g(x(b)).\nAnswer: -49266*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y - 5*g, 0 = 5*y - 5*g - 35. Let w(c) = 6 - 2 + c**3 - 3 - 4*c**2 - 2 - 2*c. Calculate w(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 884191 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 12 + (-75)\/10)*-20\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -19716?\nAnswer: 1\/4929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15492 - 15491.1. Which is the third biggest value? (a) 0.127 (b) j (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3449692 and 1?\nAnswer: 3449692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, t: 3, m: 3, w: 4}. Give prob of sequence em.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(-2 + 0 + 5)*(0*x + 5*x - 4*x).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 11:39 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 276 + -275. Calculate the greatest common factor of g and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3667\/62 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5 - 3*g - 4 + 4. Let q be (-136)\/24 + (-2)\/(-3). What is the units digit of a(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/795 and 97\/100965.\nAnswer: 100965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2355811 and -4.\nAnswer: 2355807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 30. Determine t(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (4*3)\/2. Let h(x) = 13*x + 36. Let d(m) = -9*m - 24. Let v(c) = 10*d(c) + 7*h(c). Give v(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34999 - 35014. Sort -0.4, d, 5, 0.4, -0.3 in ascending order.\nAnswer: d, -0.4, -0.3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43.58 + -0.42. Let v = 43.99 + k. Round v to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 5\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5258.8467 rounded to the nearest 100?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -875050*z**3 + 0 + 875048*z**3 + 0.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4137, 1, -2, 12, 0, 2 in decreasing order.\nAnswer: 12, 2, 1, 0, -2, -3, -4137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bobo when four letters picked without replacement from bgbbgobooboo.\nAnswer: 10\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 697681867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1394*u - 25243 - 26335 = 0 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*-2 + 12 + -12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/70 and 129\/188342.\nAnswer: 941710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4*r - 13 = 0, 9 - 2 = -y + 2*r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 4 - (7 + -16 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392421 is divided by 70?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 + 0)*(g - g - 2*g**2) - 4*g**2 + 23*g**2 + 3*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)\/z)**22\/(z**3*z**(-1\/5)) assuming z is positive.\nAnswer: z**(-193\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -25*o + 4. Let z be p(-3). Let s = 97 - z. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4244 and 174833.\nAnswer: 741991252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30023 * 11455.\nAnswer: 343913465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60225 is divided by 460.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -229*k**2 + 301*k + 4. Let y(i) = i**2 - i + 4. Let t(r) = -d(r) + y(r). Find the second derivative of t(u) wrt u.\nAnswer: 460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (126\/1764)\/(-1 - (-14)\/16). Which is the third biggest value? (a) 3\/8 (b) 0.2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/60 and -73\/110.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 740 and 0.0033.\nAnswer: 2.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1254200 to the nearest 10000.\nAnswer: -1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646463?\nAnswer: 59, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*p**3 + 4)*(-3*p - p + 6*p)*(5*p - 3*p - 3*p).\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -916195597*b**3 + 40*b**2 + 4997675*b?\nAnswer: -5497173582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/(-2))\/(3 + (-8)\/4). Suppose -1 = v - 3*w, -6*w = -2*v - u*w + 12. Solve 0 = 4*b - 3 - v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Suppose -m*z = -142 + 4. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -12*k - 179. Let p be l(-15). Let i(f) be the second derivative of -f**5\/4 + f**4\/12 + f**3\/6 - 3*f**2\/2 + 102*f. What is i(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28503512*u**2 - 28503519*u**2 - 1 + 1 + 0.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12475 divided by -70278\nAnswer: -12475\/70278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 44 = 5*s, -5*s - b + 159 = 147 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153349*j - 153349*j + 490*j**2.\nAnswer: 490*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j**(-1)*j*j)\/j)**45\/(j**(1\/6)\/j)**(-45))**(-8) assuming j is positive.\nAnswer: j**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 110, h + 5*v - 25 + 138 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*l - 52*l - 84*l.\nAnswer: -26*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -1\/84*h**8 + 0*h**5 + 8*h**2 + 0*h**6 + 0*h + 0*h**7 + 0 - 7\/24*h**4 + 0*h**3. What is the second derivative of u(w) wrt w?\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 + 3*d**2 + 2*d + 3. Let n be q(3). Let f be (n\/(-15))\/(2\/5). Suppose 0 = -2*c + 3*c - f. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 3*g - 1. Let p be a(-3). Which is bigger: p or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f*g**4*j - f*g**2*j + f*g**2 - 34*f*g*j*s**2 + 4*f*s**2 - 3376*g**3*j + 10*g**3*s**2 - 7*g**2 + 2*g*j - g*s**2 wrt g?\nAnswer: 96*f*g*j - 20256*j + 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*k + 111008 - 115496 = -37*k for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-3)\/(-83) - 0). Suppose 2*a - a = -4*o - q, -4*o = 4*a + 80. Let n = o - -32. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 242517866\nAnswer: -24251786.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 676416 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 7 (c) -1 (d) -2\/31 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3225576728.\nAnswer: 2, 11, 59, 621259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 17*h + 37. Let s(r) be the first derivative of 2*r**2 + 9*r + 175. Determine 2*o(t) - 9*s(t).\nAnswer: -2*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 + 2157564*u**2\/7 - 17261184*u + 241659712.\nAnswer: 2*(u - 28)**2*(u + 1078838)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0, -3, 120 in descending order.\nAnswer: 120, 0, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 855 + 168. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 2. Let k be g(0). Let h be 375\/(-175) - 2\/(-14). Put 5, k, h in descending order.\nAnswer: 5, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18.9? (a) -0.4 (b) 24 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 3. Let i be b(-9). Suppose -i*z = -2*z - 40. Solve 2*q + q = -3*d - 12, -5*q - 29 = -z*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.19 + -2.190262. Round u to 5 dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.81191um in kilometers?\nAnswer: 0.00000002781191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -766 + 20678\/27. Are s and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30321300 + 10?\nAnswer: -30321230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -338 and 24890136654.\nAnswer: 24890136316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 881435.7 grams?\nAnswer: 881435700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1663 - 15?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -19, -24, -29?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 9\/82 (b) -11\/13 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 638 = 4*v, 0 = 4*v + v - 2*u - 820. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -91*k + 45. Let b be m(6). Let f = 502 + b. Which is greater: -6\/89 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159, -28, 503.\nAnswer: -28, 159, 503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -0.1 (c) 0.4 (d) 17819.3 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 567 = 25*l + 2*l. Suppose -3*i - 3 = 3*u, u - 4*i = 3 + l. Solve u*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (226\/(-8))\/(10\/(-120))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2 - 7512*v + 4702512 = 0. Calculate v.\nAnswer: 1252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**2 - 20*a - 7469 = 0.\nAnswer: -77, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88074 and 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1532\/9 - 170. Let u(s) = 9*s**2 + 66*s + 23. Let c be u(-7). Sort -36, v, c in increasing order.\nAnswer: -36, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414 = -13*x - 6*x - 3*a, 6*x = 2*x + 11*a - 29 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.223 and -9.\nAnswer: 2.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 540342.4 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 23.94092 nanometers?\nAnswer: 0.00000000002394092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 55*g + 0 - 421*g + 1.\nAnswer: -476*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36.7 + 37. Let f = 0.3 - 0.2. Let d = -0.3 + f. Put 5, k, d in descending order.\nAnswer: 5, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**2 - 2*s - 14. Let y(w) = 6*w**2 + 3*w + 12. What is -3*g(f) - 2*y(f)?\nAnswer: 3*f**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 5:25 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 12:59 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5\/4 + 3*l**4\/4 - 9*l**3\/2 - 10*l**2 = 0.\nAnswer: -5, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252401564 (base 7) to base 10.\nAnswer: 15950477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 44657 = 17*s - 3*i, -5*i = 5*s - 55820. Let h be (s\/66)\/35 - 1*5. Put 0.2, 18, h in descending order.\nAnswer: 18, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*i**2 + 7 - 78*i**3 + 66*i**3 + 157*i**3 + 36*i**3 + 144*i**3 wrt i.\nAnswer: 1950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4137 is divided by 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.2 + -13.6. Let n = -18.6 + s. Let j = -6 - -7. What is the smallest value in -0.5, n, j, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 1 = -k - 9*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 + -40. Does 30 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/5)\/((-4)\/(-10)). Suppose -3*n = o + f + 2, -o - 6 = 2*n. Solve 5*i - 3*z = 0, -i = -o*i - 4*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35351.\nAnswer: 23, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-124)\/6)\/(2\/(-6)). Let d = s + -19. Let l(k) = 12*k**3 - k**2. Calculate the remainder when d is divided by l(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(7))*-5)**2 + sqrt(21)\/sqrt(3) + -2.\nAnswer: 101*sqrt(7) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - -1. Let h = -5 + 12. Suppose -l = -i - h. Solve 0 = 5*f - v, 0 = -f - 0*v + i*v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13006 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 848 + 2284 = 0. Let y = 223 + c. Let k = y - -194. Calculate the remainder when k is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8 + (-22)\/(-8). Suppose 5*m - 405 = 3*m + 5*v, -5*v + 595 = s*m. Suppose 0 = -4*a + m. Calculate the remainder when a is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*q + 2821 - 3396 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3498082 or -3498090?\nAnswer: -3498090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 37.92 and -10.07288.\nAnswer: 27.84712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 47493808, 47493796, 47493784, 47493778, 47493784, 47493808?\n\"Answer: a**3 - 6*a**2 - a + 47493814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Let d(b) = -b - 2. Let m(u) = 2*u + 5. Let n be ((-3)\/2)\/((-12)\/80). Give i*m(v) + n*d(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 4440.\nAnswer: 1\/888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + f - 45 = 0. Suppose 0 = 3*u + 15, f*u - 62 = -2*t - 15. Let n = 53 - t. Calculate the remainder when 30 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**4 + z**3 - z**2 + 2*z - 2. Let y(d) = 10*d**4 + 42*d**3 - 92*d**2 - 51*d + 100. Let x(l) = 3*m(l) + y(l). Determine f, given that x(f) = 0.\nAnswer: -47, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.7487 and -145.\nAnswer: -144.2513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -59*x + 1318. Determine f(24).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -475\/6 - -79. Let h = 577.9 - 578. Let v = -53\/15 + 16\/5. Which is the closest to v? (a) h (b) 2\/11 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 19*h = -28*h + 272. Let g = 2.2 - 2. Sort h, -3, g.\nAnswer: -3, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + l - 6. Let v be f(0). Let c(z) = z + 2. Let y be c(6). Let m = v + y. Solve -m*p + p = -1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(4\/6)*((-196)\/(-21))\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 16. Suppose 0 = 11*t - 13*t - 28. Determine p(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 8*g + 42 = 0. Suppose f + q + 3 = -11, -3*f - q = g. Which is greater: f or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 26*v + 13. Give x(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92.11 - 1000.09. Let p = 1092 + o. Let z be -1 + 2 - (-1)\/2. What is the fourth biggest value in p, 2\/15, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5165 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2954.\nAnswer: 2, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f - 2. Calculate w(-10).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103 - -104. Sort 3, 4, f, -0.2.\nAnswer: -0.2, f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -4 (c) 2 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k. Let u(o) = -o**2 + 6*o. Let t(y) = -10*y - 7. Let j(f) = -7*f - 5. Let v(m) = 7*j(m) - 5*t(m). Let d(h) = u(h) - 6*v(h). What is d(p(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 10 = -6*i - 224, 5*i - 478 = 18*g + 258 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(242)*2 + -2)**2 + -3 + 1.\nAnswer: -92*sqrt(2) + 1060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*7\/2)\/((3\/30)\/(3057\/(-5095))).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -1*265\/1. Let k = h + 263. Let c(l) = 12*l + 1. Calculate c(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 23 = -3*d, -d + 3*x + 7 = -5. Let m(f) = 3*f + 10. What is the remainder when m(14) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -8, 1 in descending order.\nAnswer: 1, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycj when three letters picked without replacement from {v: 5, y: 3, r: 6, j: 5, c: 1}?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/7 + 11958*i\/7.\nAnswer: i*(i + 11958)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eed when three letters picked without replacement from {r: 2, d: 3, x: 1, e: 3, i: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 504 and 267680?\nAnswer: 2409120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 1447622 and 343600.1.\nAnswer: 1791222.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 11906*h - 5987*h - 5957*h - h**2 as s*h**2 + g*h + x and give g.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-63) - 1282\/(-180). Let i = -203\/30 + v. Which is the smallest value? (a) i (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -53.\nAnswer: -53, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 2*m**3 + 15*m**2 + 3*m - 4253. What is j(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35708 and 61516748?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.59 - 1.6. Let m = 40 + -39.69. Let z = l + m. Which is the nearest to -1? (a) 0 (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*b**5*q**3 + 52315*b**4*q**3 - 662965*b**2*q**2 + 2*b*q**3 wrt b.\nAnswer: 780*b**2*q**3 + 1255560*b*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 - (22 + (-22 - -11) - -5).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 6*s**2 + 5*s + 1. Let j be i(-5). Let v(d) = 31*d - 1. List the prime factors of v(j).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = m + 3*x, 5*m - 5*x - 76 = 19. Suppose 5*l = -3*f + 15, 25*f - m*f + 5*l = 15. Solve f = v + 3*v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7467.6466 rounded to the nearest 100?\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**5 - 176\/3*m**4 + 320*m**2 - 172*m**3 - 256\/3*m + 0 = 0. What is m?\nAnswer: -8, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/9, -4, -3, -103, -7\/2 in ascending order.\nAnswer: -103, -4, -7\/2, -3, 2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-16)*(-7 + 11)*70. Let l = p - -107. Let i(u) = 3*u**2 + 6*u - 9. Let a be i(l). What is the highest common divisor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -45903*k - 39797906. Calculate z(-867).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**3 + 2*f**2 - 4. Suppose -2*d = -6*d + 12. Let w(j) = 3*j**3 + j**2 - j - 3. Let p(n) = d*w(n) - 2*x(n). Let b = -7 - -5. What is p(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 192901 - 7900. Suppose 2*h - 184997 = -3*h - 3*v, -5*h = -v - q. What is h rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.532801 grams?\nAnswer: 5532801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -73869, -4, -488 in decreasing order.\nAnswer: 0, -1, -4, -488, -73869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (65\/(12870\/216))\/((-2)\/(-11)). Solve -q*n + n = -5*t, -2*n + 4*t + 6 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 1, d: 8, y: 2, r: 1, l: 1}. What is prob of sequence rtl?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10870695*s + 44419669 wrt s.\nAnswer: -10870695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*y - 22 - 4*y + 21)*(-1 - 13 + 0).\nAnswer: -98*y + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39899, 39895, 39889, 39881, 39871?\n\"Answer: -a**2 - a + 39901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-17)\/(-34))\/(2\/60). Put 3, -4, f, 0 in decreasing order.\nAnswer: f, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.407 times -18?\nAnswer: -7.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3 - 20145*k*w - 12820*w wrt k.\nAnswer: 6*k**2 - 20145*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.0381.\nAnswer: -0.01905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54735 and 178801.\nAnswer: 2682015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1529)\/4170 - ((-4)\/(-26) + (-100)\/312).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 14*a + 10. Let k be h(7). Suppose 25 = -6*w + k. Calculate the lowest common multiple of w and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -20\/3*p**3 + 8*p**2 + 14\/9*p**4 - 16\/9*p + 0 = 0.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((74 - 40 - 48 - 3*d)*(-10*d + 6*d - 8*d) + 3 - 3 + 5*d**2)*(-14 + 14 - 2*d).\nAnswer: -82*d**3 - 336*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2436*v + 3 + 68*v**2 - 100*v**2 + 2456*v - 3.\nAnswer: -32*v**2 + 20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*c**2 + 16*c**2 - 41*c**2.\nAnswer: -126*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**4\/108 - 19*h**3\/27 - 361*h**2\/18 - h - 8. Factor z(i).\nAnswer: -(i + 19)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 9 = -41 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 4*n - 16. What is the units digit of (-1 - -6) + (n - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 132 - -1?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.237343 to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 252\/21 + 2*-1*3. Calculate the highest common divisor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -31*v**4 + 164*v**3 - 566. Find the third derivative of j(w) wrt w.\nAnswer: -744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 6:37 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 12, b: 1}. Give prob of sequence ssb.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/47135 and 51\/273383?\nAnswer: 1366915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l**3 + 13 - 5*l**3 + 8*l**3 + 3*l**3 + 14*l - 7*l**2. Is g(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/105 (b) -1\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 11 = -s, 4 - 14 = v - 5*s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -90\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3248435 (base 10) to base 12.\nAnswer: 1107a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -121\/4. Let t(r) = -9*r**2 - 5*r - 1. Let l(u) = -4*u**2 - 3*u - 1. Let y(g) = 7*l(g) - 3*t(g). Let h be y(-5). Is h smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82900842 is divided by 1643.\nAnswer: 1634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-108))\/((-645)\/1548).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/8)\/((-6)\/(-24)). Let f = -7 - -6.68. Let t = 0.08 - f. What is the second smallest value in t, d, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1118990 by 91.\nAnswer: -1118990\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30911945563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.97 + 2.03. Which is the fourth biggest value? (a) -0.4 (b) j (c) -2\/7 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43109 - 43108. Let m = 7 - 4. Solve -3*z + 26 = m*c - y, 2*z + 3*c = 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17943188 is divided by 176.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n - 28. Let c = 2 + n. Calculate the highest common factor of 36 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*o - 25194, -64*s = -65*s + 4*o + 8398. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4646 (base 11) in base 6?\nAnswer: -44124","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqq when three letters picked without replacement from {q: 2, j: 1, l: 2, y: 1, g: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) -4\/7 (c) -18 (d) 1 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-1) - 8)*(-15)\/(-9).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 69?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 25, 89, 223, 451, 797?\nAnswer: 1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s**3 - 9 - 19*s**3 + 12*s**3 in the form u*s + t*s**2 + h + j*s**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r - 5*v = 18, -v + 61 = 3*r. Calculate the remainder when 36 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16992748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*d - 13*d - 77*d - 5 + 5 + 2*d - 5*d - 1 - 3*d + d + (-5*d + d + 2*d)*(-1 + 4 - 5) + 2 - 2 + d.\nAnswer: -71*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + r**4 - r - 2*r + 1 + 2*r to the form s*r**4 + z + w*r + l*r**3 + j*r**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -13*d**5\/5 - 2*d**2 - 16*d + 42. Differentiate o(p) wrt p.\nAnswer: -52*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 205*p**3\/2 + 533415*p**2\/2 + 346996215*p\/2 + 8463005\/2.\nAnswer: 5*(p + 1301)**2*(41*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**33)**(-1\/56)\/((z*z**10)\/z**(-15)) assuming z is positive.\nAnswer: z**(-1489\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 10*m**2 - 2*m + 3. Let j be s(-3). Let z = -51 + j. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15320727 and 18693?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-113)\/20 - 5\/((-80)\/(-12)). Let h = 7 + i. Let j = 2.9 - 3. Which is the nearest to j? (a) h (b) -0.1 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 11568 = -171849. List the prime factors of l.\nAnswer: 11, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -845908 and -845908 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 3*n - 7. Let b be q(5). Suppose -b*a + 8*a - v = -225, v - 5 = 0. Let w = a + 134. Does 29 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (75 - -19 - 47)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5472, -5410, -5344, -5274, -5200, -5122?\n\"Answer: 2*h**2 + 56*h - 5530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express n - 5*n**2 + 19*n**2 + 2 - 4*n**4 - 10*n**2 - n**3 - 5*n**2 as y*n + r + q*n**3 + l*n**4 + c*n**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/10 of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i - 19. Let p be t(-10). What is the fourth biggest value in 3, 1\/7, 2\/9, p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -1557 in descending order.\nAnswer: -1, -5, -1557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from jjjjjjajjjajjjjjjjjj?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v = 2. Let i(s) = 11*s**2 + 7*s**2 - 3*s**v. Let g(h) = 3*h. What is i(g(m))?\nAnswer: 135*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = -b, 0 = -5*u + 3*b + 14 - 4. Solve 0 = u*y - 0 + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 22*u - 189. What is d(10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2655 - -2650. Suppose -5*u + 36 = -8*u. Let j be (-15)\/(-20) + 21\/u. What is the nearest to j in -0.3, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011100101011010110011 (base 2) to base 15.\nAnswer: -6b62bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70530*r**5 - 50455*r?\nAnswer: -1410600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42690065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 137289\/16 + -8579. Calculate the common denominator of 101\/14 and h.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 5. Let a(o) = -5*o**3 + 767*o - 30. Give a(k) - 6*v(k).\nAnswer: k**3 + 767*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 + 22*w**2 - w - 23. Let r(o) = -6*o**3 + 65*o**2 - 3*o - 67. Give 11*j(m) - 4*r(m).\nAnswer: 2*m**3 - 18*m**2 + m + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u + 27*u - 55 = 0. Suppose -u - 29 = -7*j. Suppose 17*v - 15*v = 36. Calculate the greatest common divisor of j and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1589390 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 476 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/19)\/(((a*a**14)\/a)\/a) assuming a is positive.\nAnswer: a**(-248\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m\/(m*m**(1\/4)))**(-19)*(((m**(-1\/6)*m*m)\/m)**(-42))**(18\/11) assuming m is positive.\nAnswer: m**(-1475\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 6:19 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o**3 - 72611421*o + 12444507.\nAnswer: 3*o**2 - 72611421","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000100001010010100000 (base 2) to base 4.\nAnswer: 100201102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3594, -3593, -3592?\nAnswer: -3591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwccccwcccwjlclc. Give prob of picking 2 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 139*b + 369. Let a(c) = -c - 32. Let w(q) = -22*a(q) + 2*f(q). What is the derivative of w(y) wrt y?\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(sqrt(44)\/sqrt(4) + -3) - (sqrt(66)\/(sqrt(6) - (sqrt(294) + sqrt(294) + -2*sqrt(294))))**2) + 0.\nAnswer: -27 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -179 + 203 + 0 + -36?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 5*i + 2*i)*(-22 - 11 + 4)*(-4 + 2 + 3)*(-3*i + 5*i + 0*i)*(7 - 2 - 3) to the form v + c*i + r*i**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18827*t + 18835*t = 184 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -546995 + -249?\nAnswer: -547244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009758 times -4?\nAnswer: -0.039032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3 - 8 - h + 0*h. Let l = 0 + -4. Let z be m(l). Which is the nearest to z? (a) -1\/2 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41903*k - 38423 wrt k?\nAnswer: -41903","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**6\/120 + 11*d**5\/15 + 31*d**4\/6 - 61*d**3\/6 + 126*d**2. Let p be q(-41). Which is smaller: p or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((-315)\/27) + 36\/(-378). Determine z, given that 7\/3*z + 0 + 3*z**3 + d*z**4 + 5*z**2 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {o: 2, z: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 60, 66, 84, 120, 180, 270, 396, 564?\n\"Answer: i**3 - i + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27741?\nAnswer: 3, 7, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 7:12 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3594, 14372, 32336, 57486, 89822?\n\"Answer: 3593*z**2 - z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 6*g + 7. Suppose 4*b - 5*q + 0*q = -20, 2*q - 8 = -b. Suppose -m - 64 + 58 = b. Determine t(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-2 + -4 + 16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.157 in 8\/3, -1.66, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-68 - -67)*(-4)\/(1*2). Solve 0 = -y + 3*y + c - v, 13 = 3*y + 4*c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -143900*f + 3776.\nAnswer: -143900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-27)\/9)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 163*o**2 + 839*o + 173. Calculate b(168).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**4 + 4*a**4 + 3*a**4 + (-51 - 26 + 43)*(-4 + 1 - 1)*(-a + 2*a**4 + a).\nAnswer: 274*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 14. Which is the closest to -2\/13? (a) 5 (b) 2\/19 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -5622.72 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -47, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(((-6)\/(-3105))\/(872\/(-545))*-8).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 6195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 723537 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 378039 divided by 424?\nAnswer: 378039\/424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -26. Suppose -6 = -f + q. Solve -x - 2 = -f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 988673091 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 13*m - 16. Let w be s(-14). Let t = 6.6 - 7. Let r = 37 - 38. What is the nearest to w in -4, r, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 205 and -27.6.\nAnswer: -5658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.4 + 25. Which is the third biggest value? (a) -2 (b) -1.8 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000037501 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/(-6)*21\/525*50.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-3) - 5)*2. Let i be 10\/u*(-472)\/10. Suppose 5*v - i = -4*k, 4*k - 2*v = -0*v + 104. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 43824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 148615?\nAnswer: -1188920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/63)\/(44\/(-6))*602\/(-172).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 12, n: 1}.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16700 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 - 2*h + 63. Let y(c) = -13*c + 65. Let t be y(5). What is the lowest common multiple of 70 and q(t)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**4\/4 + 2*l**3\/3 - 3*l**2\/2 - 2*l + 51. Suppose -8 = 3*o + 1. Calculate u(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -469 - -453. Let k be (2\/(-2) + -14)*j\/(-40). Let v(t) = 4*t + 22. Determine v(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) 0.2 (b) -0.4 (c) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 15*n**2 + 6*n - 14. What is s(14)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v*v**7*v*v))*v\/(v\/(v**9\/v))*v assuming v is positive.\nAnswer: v**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5 + 9*n + n**2 - 2 - 3*n. Let s be v(-6). What is the common denominator of -9\/8 and (-1)\/(-1)*61\/s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 18\/7*p + 12\/7*p**2 - 2\/7*p**3.\nAnswer: -2*p*(p - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6975 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5632 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13\/253 + 3\/23. Let o = -0.9 - -1. Which is the biggest value? (a) z (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31247.\nAnswer: 31247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -326024.717924 and -46.\nAnswer: -326070.717924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -336.\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 247 and 49686.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 334.5085 litres in millilitres?\nAnswer: 334508.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*v - 72*v + 14 = 0. Let m be 0\/(7\/v)*(1 + 0). What is k in 1\/5*k + 1\/5*k**5 + 4\/5*k**4 + 6\/5*k**3 + m + 4\/5*k**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*10*(19215\/(-225) + 86)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3*(-12)\/4. Let k(s) = -x*s + 0*s - 2*s. Let u(i) = 3*i. Let t(r) = -2*r. Let v(l) = 4*t(l) + 3*u(l). Determine k(v(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 - 325 = -13*d. Suppose -p = 2*p + 6, p - d = -2*o. What is the remainder when 360\/(-16)*((-26)\/o - 1) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 230?\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 175794528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36930606 or -36930649?\nAnswer: -36930606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11232 and 319176.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2099 + -0.4.\nAnswer: -2099.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 262*r + 9400. What is v(32)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 58178 and 1.\nAnswer: 58179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -111\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**5 - 25530*c**4 - 6096645*c**3 + 67635097200*c**2 - 35092362888000*c = 0 for c.\nAnswer: -3345, 0, 792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110220 (base 4) to base 7.\nAnswer: -21535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*g = 132*g + 290*g - 7462 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -41990680500 to the nearest one million.\nAnswer: -41991000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (9 - (-8 - -1)) - -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7125809 by -13.\nAnswer: -7125809\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*((-69)\/24 + 3). Let i = -0.1 - 0.4. What is the third smallest value in i, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 at most 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/7 (b) 5\/2 (c) -1\/4 (d) 88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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: What is the fifth smallest value in -4\/5, -2\/11, -3\/2, -40, 3, 36.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**(2\/11)\/b))\/b*b**(1\/21)\/b)\/(b**(-2\/9))**18 assuming b is positive.\nAnswer: b**(1124\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - v)*(-3 + 4 - 3) + (-42 + 727 - 3427)*(5*v + 9*v + v).\nAnswer: -41128*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.04, 34.5, -1\/4?\nAnswer: 34.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.75 + -178.55. Let t = h - -175.7999283. What is t rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -36*s + 34*s - 10, 5*u = -5*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1603824 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 44\/33*(-87)\/1044?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 39*p + 1. Let k(j) = 168*j - 12. Let u(f) = -k(f) + 4*m(f). Calculate u(-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4 = 2*o, -19*o + 22*o = 5*n + 9. Solve -18 = -5*h - 3*c - o, 3*c = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = 4*z. Let o = -7 - -7. Suppose 6*p - p - 25 = o. Solve z*l = -l + p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 876238 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/6 + 4\/12. Does 5 divide (-3 + n)*38\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 624*u**2 - 3*u - 2. Let s be t(-2). Let m be (-7 - -1)\/(15\/s). Round m to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - w = -11, 231*w - 13 = 2*o + 228*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -61*t**3 - 50*t**2 - 12*t - 4. Let c(b) = 244*b**3 + 201*b**2 + 54*b + 18. What is 2*c(s) + 9*d(s)?\nAnswer: -61*s**3 - 48*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-9 - -38) - 1) + 11.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*v - 4396 - 548. Let y = -286 - v. What is the remainder when y is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 393553701, 393553702, 393553703, 393553704?\n\"Answer: f + 393553700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7189118?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 4. Let o be q(-5). Are 2 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkgaasa. Give prob of sequence sk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*v - 1 - 9, -4*v = 2*j + 10. Let x = 5 + v. Suppose x - 24 = -a. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z + 4*n = 46, 0 = 3*z - 3*n - 213. Let m be -2 + -6 + 2 + -24 + 0. Let b be (-3)\/(4\/m - z\/180). Sort -9, -2, b in increasing order.\nAnswer: -9, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6*n**(11\/4))**37 assuming n is positive.\nAnswer: n**(1295\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*q = 120005, 0 = -4*a + 2*a - 5*q + 48035. Suppose 0 = 4*m - 5*g + 32015, -5*g + a = 8*m - 11*m. Round m to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5\/11 - 674*i**4\/11 - 69593*i**3\/11 - 67576*i**2\/11 + 137844*i\/11 = 0.\nAnswer: -547, -126, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-10) + 666\/(-555).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1295640 less than or equal to 0.0234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4*-2)\/(5\/(9380\/(-201)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(90)\/sqrt(9)) + -2 - sqrt(44)\/(sqrt(4) + (sqrt(4) - (sqrt(132)\/sqrt(3))\/sqrt(11))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 0*j**2 - 2*j**2 - 7*j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, -5.7425 in decreasing order.\nAnswer: -0.1, -5, -5.7425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**4\/11 - 18052*n**3\/11 + 40734338*n**2\/11 = 0.\nAnswer: 0, 4513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 332940 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (9396\/3240)\/(1\/(-10))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*c = 1769 - 371 + 948 + 2102 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -870376 - -870375.81999905. Let i = 42 + -42.18. Let a = f - i. Round a to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(931) - (-2*sqrt(931) - sqrt(931)) - sqrt(931)) + -5 - (sqrt(931) + -1)*-3)*3)**2.\nAnswer: -6048*sqrt(19) + 302220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/(-5)*(-9)\/90*40. Solve -42*a + f*a = -12*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*j + 124*j = -3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j. Let g(h) = -1609*h. Give f(g(y)).\nAnswer: -1609*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 14 - 6)*(-v + v + 2*v) - 2*v + 6*v - 2*v + (2*v - 2*v + v)*(-5 + 2 + 1) - 2*v + 2*v - 2*v + 1 - 1 + v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 228*b + 412. Let i(m) = -229*m - 281. Calculate -3*i(n) - 2*q(n).\nAnswer: 231*n + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1080 and 180?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*u + 5. Let p be u\/((12\/(-15))\/4). Suppose 2*j + 0*j + 10 = z, 5*z - j - p = 0. Find the common denominator of z and 43\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-228) - 2\/(-19)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 - 62. Let s be (r\/9)\/((-17)\/(-51)). Calculate the greatest common factor of s and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, -67160, 0.11, -22 in decreasing order.\nAnswer: 0.11, -0.1, -4, -22, -67160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/261310 and -99\/52262.\nAnswer: 261310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 1. Suppose -3*h = 6*z - 5*z - 19, 2*z - 5*h - 27 = 0. Solve -s*c - z = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c + 8. Let p be s(-7). Suppose p = -4*l + 68. What is the least common multiple of 2 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5605 divided by 2.\nAnswer: -5605\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 0 + 0. Let n(o) be the first derivative of o**3 + 116. Determine n(t(s)).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114, -1\/6, 0, -2125, 2\/3, 4.\nAnswer: -2125, -114, -1\/6, 0, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -80. Let t = n - -36. What is the lowest common multiple of 10 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*y**3 + 45*y**3 + y**2 + 3*y**4 - 6 - 16*y**2 + 3 - 17*y**3 to w*y + s*y**4 + k*y**3 + h*y**2 + l and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven quarters of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (1 - (6 - 3)) - (-2 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 2. Which is the third biggest value? (a) d (b) -2\/13 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.097, -0.5 in increasing order.\nAnswer: -0.5, -0.097, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 140 = -5*b + 117, 4*b - f + 15 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/49*(-9)\/6. Let p = 6.43 + -6.53. Put -0.3, u, 3\/13, p in ascending order.\nAnswer: u, -0.3, p, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.7, 0, -1\/5, -1.\nAnswer: -1, -1\/5, 0, 5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2777 take away -181?\nAnswer: 180.7223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s*s*s**(1\/23))\/s))**(-27\/5))**(-32\/5))**(-4\/5) assuming s is positive.\nAnswer: s**(3456\/2875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 5*p - 10. Let w be i(7). Suppose w - 26 = -2*o. Let l = 1 + 0. What is the greatest common divisor of l and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3271 + -19765\/6. Calculate the common denominator of n and 185\/10*2\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2113583.\nAnswer: 2113583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 16 + 0 = 2*d, 3*d = -4*h - 27. Let q = 56 - 61. Does q = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (7 + -1) - (35 - (44 + -15)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.079 - -457\nAnswer: 456.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, 17, 45, 93, 167, 273?\n\"Answer: o**3 + o**2 + 4*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 69*j + 289*j + 29*j - 6*j**3 + 13*j**3 - 4*j**3 as c + i*j**2 + m*j + v*j**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2015 = -2153. Suppose 2*z - 80 = f. Calculate the greatest common factor of 84 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 726, 679, -0.1 in increasing order.\nAnswer: -0.1, 679, 726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 765 - -939. Let b = 11975\/7 - f. Find the common denominator of b and 6*(-2)\/10*-4.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5404.247ug in grams?\nAnswer: 0.005404247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 5*r - 2. Suppose 401*h = 370*h + 279. Let q(k) = -4*k**2 - 19*k - 9. Determine h*j(v) - 2*q(v).\nAnswer: -v**2 - 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 344293093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16862.84mm to centimeters.\nAnswer: 1686.284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -66 in -0.1, -0.2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 27.9. Let x = z - 2.8986. Round x to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 2075?\nAnswer: 2075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16\/11 + -18\/11. Let k = 6 - 4. What is the nearest to 2 in r, 5\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1469 and 260?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -13dc?\nAnswer: -13e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -233 + 307. Find the second derivative of -w + 20*n + 74 + 69*n**2 wrt n.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**4\/8 - 5*s**3\/2 - 42*s**2 - 184*s - 991. Factor n(a).\nAnswer: (a - 23)*(a + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8*w = -7 + 37. Let f(o) = -o + 5. What is f(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((0 + sqrt(931))*-2 + -2*(sqrt(931) + 2)))**2.\nAnswer: 3584*sqrt(19) + 238592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jltjjjllgklugljuk. Give prob of picking 1 t and 1 k.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8731599, 8731601, 8731605, 8731611, 8731619, 8731629, 8731641?\n\"Answer: c**2 - c + 8731599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpop. What is prob of sequence opv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1892 and -119\/10.\nAnswer: 9460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*a = 0. Suppose a = -g - 3*j + 28003, 3*j = 3*g - 0*j - 83997. Round g to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(45) - (2 + sqrt(5))*-2)*-5)**2.\nAnswer: 500*sqrt(5) + 3225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68151495?\nAnswer: 3, 5, 103, 44111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -h - 3*t, 16 = 2*h + 3*t - 13. Does h = 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -5*b + 350*k + 17, -k = -2*b + 1 - 23 + 42 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176 + -968.\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -5 + 3 - (4 - (-9 + 20))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 4*f**2 + 3 - 10*f**2.\nAnswer: -6*f**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 5*n - 11. Is v(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 1 - 1)*(-195*j**2 - 631 + 631).\nAnswer: -390*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 47, 53, 55, 47, 23?\n\"Answer: -z**3 + 4*z**2 + z + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(11) + (-2*sqrt(11) + 4)**2 + sqrt(11) - (sqrt(22)*-3)\/sqrt(2)) + -1.\nAnswer: -11*sqrt(11) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + 0. Let l be 60\/40*(48\/(-9))\/(-2). Solve l = b - 2*q, 0 = -5*b - q + 3*q + h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 4 - 56. Let a be (2\/(-3))\/((-8)\/s). Let o = 3 + a. Solve -o*c - 1 = 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9877718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) -0.4 (b) -0.01 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjqczqjoq. What is prob of sequence jq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Sum 200018 and -74.\nAnswer: 199944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1318000 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2321, 7030, 14129, 23618, 35497, 49766?\nAnswer: 66425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922664059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 12*w - 2. Let r be p(-12). Does 10 divide (-35)\/r*(-12 + 14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/7)*z*z**(-1)*z*z**(-3\/5)\/z**(-4) assuming z is positive.\nAnswer: z**(149\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*c - 10*c + 19*c)*(-18 + 18*c + 18 + (3*c + 2*c - 4*c)*(1 + 2 + 0) + 0 + 0 + 2*c) in the form v*c + x*c**2 + y and give x.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 0*o - 123. Let v = o - 77\/2. Calculate the common denominator of (-8 - (-7 + -37))\/((-42)\/(-4)) and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 59, 63, 69, 77?\n\"Answer: a**2 + a + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 10. Let b = 5 - 5.1. Let r be (-34)\/52 + (-2)\/(-4). What is the nearest to s in r, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28652 - 40756. Let d = p + 8194. What is d rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 1, 2, -15, -1458 in descending order.\nAnswer: 31, 2, 1, -15, -1458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -11*f + 35. Let s be w(3). Let i(k) be the second derivative of 4*k + 0 + 1\/8*k**s + 1\/96*k**4 - 1\/16*k**3. Let i(n) = 0. What is n?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 111000111110 (base 2) to base 5\nAnswer: 104041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3\/11 - 322*k**2\/11 - 1230*k\/11 + 97650\/11 = 0.\nAnswer: -155, -21, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23126136 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1072563496.\nAnswer: 2, 134070437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 - 29*a - 32. Let w(l) = -3*l**2 + 29*l + 31. Let n(g) = 2*o(g) + 3*w(g). Let d be n(30). Let z(b) = b. What is z(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68126?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3248623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44206549 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6918*p**4 - 6915*p**2 wrt p?\nAnswer: -166032*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 + k**4 + 2*k**3 + 4 - 8 + 7 + (-4*k**2 - 2*k**2 + 11*k**2)*(-2*k + 4*k**3 + 2*k).\nAnswer: 22*k**5 + k**4 + 2*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -556*d**3 + 5*d - 3. Let u be p(3). Let r be ((-1)\/(4\/(-144)))\/(3\/u). Round r to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u + 4. Let c be 3\/(0 - (1 - 0)). Let x(f) = f - 3. Let z(w) = c*a(w) - 4*x(w). Let d(l) = l. What is d(z(r))?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 98 = -4*a - 65. Solve -18 = 3*u + 3*q, -4*u - a*q + 9 = 32 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 + -133. Let t(c) be the third derivative of 0*c**4 + c**2 + 0 + 0*c - 1\/20*c**5 + 1\/120*c**6 - 1\/6*c**3. What is t(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112049 a multiple of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbdisloio. What is prob of sequence sod?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, x: 2, s: 2, c: 2}. What is prob of sequence sx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b + 10. Let m be u(-8). Let o be (4\/6)\/(m\/21). Is (30\/24)\/(o\/(-212)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 10 - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -326553449 - -0.4\nAnswer: -326553448.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -531289.\nAnswer: -4781601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 675 and 8640?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11692 is divided by 3317?\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13255956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.31 - 1.69. Let w = -15.164 - l. What is w rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976 is divided by 678?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 5 = 17*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u + 3. Let b be s(-15). What is the highest common factor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 302063413 and 4243.\nAnswer: 4243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 50, 48, 46?\n\"Answer: -2*w + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3708 divided by -1236?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 15*x**2 + 25*x + 29. Let r be g(-14). Let d = -123 - r. Solve 5 = u - 3*q, d*q - 1 + 21 = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 o, and 1 k when four letters picked without replacement from {k: 2, z: 1, o: 2, c: 1, j: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -u + 3*o, 3339*o - 3334*o - 11 = -u. Solve -u*h - 1201 = -1237 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 4*v**2 - 5*v + 3*v**2 + 21*v + 16 + v**2.\nAnswer: 4*v**2 + 16*v + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 1. Let q = 61 - 40. Suppose -u*w + q = -9. Calculate the remainder when 28 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 14*a + 362. Is 35 a factor of q(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8205000 rounded to the nearest one hundred thousand?\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/2)\/((-1)\/2). Suppose 17 = m - u, -m + a*m - 5 = -5*u. List the prime factors of (0 + 4 + m)\/1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 233332211000?\nAnswer: -233332211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008490422 to 6 decimal places.\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -1\/2*f**2 - 2*f**4 + 90*f + 0*f**3 - 9. Differentiate t(a) with respect to a.\nAnswer: -24*a**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 10 = 5*q, -3*y - 10 = -2*q - 14. Solve m - 10 + 6 = y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24472.\nAnswer: 2, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*z = -z + 64, 5*y = 4*z + 193. Is 0 + y - (5 + -5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 303, 648, 1131, 1752?\nAnswer: 2511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y = -141 - 105. Let s(c) = c**2 - 8*c + 31. What is s(y)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**4 - 488*n**6 - 68211*n**5 + 68211*n**5 - 1057*n**2 wrt n?\nAnswer: -58560*n**3 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 25 = 0, 52*t - 12*l = 53*t - 55 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 b, and 1 f when three letters picked without replacement from hbmbhbjhmfh.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 9*a**2 - 6*a + 3. Calculate o(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c. Let s(i) = -35*i**2 + 6*i. Let t(f) = 71*f**2 - 13*f. Suppose q + 11 = b, -11*b = -13*b + 3*q + 20. Let v(g) = b*s(g) + 6*t(g). Give v(r(j)).\nAnswer: -116*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71026436?\nAnswer: 2, 13, 167, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/17, -0.25, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqqququcecucccccuqq. What is prob of sequence ueuc?\nAnswer: 35\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.47 + 1.42. Let g = 3 - c. Let t = 0.1099946 - g. What is t rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - ((sqrt(75) + 2)*4 + sqrt(75) - sqrt(75))**2) + sqrt(75) + -5*(4 + sqrt(75)))*-3.\nAnswer: 1005*sqrt(3) + 3852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -828 = 30*b - 91*b - 31*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203827 is divided by 374?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -a97 (base 12) to base 10\nAnswer: -1555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2107*o**2*q**2*u + 8*o**2*q + o**2 - 47*o*u - 1474*u wrt q?\nAnswer: -4214*o**2*q*u + 8*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3044, -1.4, 2\/3, -10, -49\/2?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19 - 0.69. Suppose 13 = -7*k - 1. What is the biggest value in -1\/4, h, k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06299 rounded to three dps?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-7 - 1) + -14 + 16)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1393, 92, 5, 1, -4 in decreasing order.\nAnswer: 92, 5, 3, 1, -4, -1393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -27*o - 5. Suppose 0 = -3*l + 6 + 3. Let p(g) = -27*g - 4. Let i(r) = l*p(r) - 2*b(r). List the prime factors of i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*z - 5*z + 9*z**2 - 8*z + 108*z**2 to h*z + j*z**2 + a and give j.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1078*652116.\nAnswer: 70298.1048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 9:34 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 - 301?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -14. Let h = y - 7.9915. Round h to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from wweweryweewwwe.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2057) + 2 + -3*sqrt(2057) + sqrt(2057))**2.\nAnswer: -10305 + 220*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*(-2)\/(-2))\/(3\/492). What is the derivative of -a - 1132*z**4 + 572*z**4 + z + 567*z**4 wrt z?\nAnswer: 28*z**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 2 = 2*m. Suppose -4*y - 2 = -5*b + 40, -y + m*b = 18. Is 4\/32 - 4583\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 16010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -255 in 0.3, 0.1, -1, 1\/15, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22498, -44997, -67496, -89995?\nAnswer: -112494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5044 - -1410432?\nAnswer: 1401344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 89433*f + 89434.\nAnswer: -(f - 89434)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l**2 + 3*l - 1. Let z(g) = -g**2 - g. Determine f(x) + 5*z(x).\nAnswer: 3*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17808*d - 3*d**4 + 9460*d + 4*d**4 + d**3 + 9135*d to the form m*d**2 + t*d**4 + c*d**3 + i + y*d and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 189 - 54. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -168788 - -266437. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 20, 4*w + w - 68 = -2*h. Solve -6*u - 4*d = -5*u + h, -25 = 5*d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211 + -400. Let k = n - -569\/3. Sort 4, 11, k.\nAnswer: k, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - -70. Let h = 109 - t. Solve 4*j + 3*f = 26, -h = -5*j - 3*f + 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a + 38. Let b be i(-6). What is u in 0 + 0*u**b + 0*u**3 + 0*u + 2*u**5 + 4\/7*u**4 = 0?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -17*o**4\/2 - 3*o**2\/2 + 3*o + 45. Find the second derivative of g(a) wrt a.\nAnswer: -204*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000107640985 rounded to 7 decimal places?\nAnswer: 0.0001076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -2. Let j(l) = -l - 3. Let r be j(-10). What is the second derivative of -r*n + q*n + 4*n - n**2 wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -228153963.\nAnswer: -228153917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) + -1*sqrt(204) + sqrt(204) - sqrt(204)))*-4)\/(sqrt(36)\/(sqrt(9)\/sqrt(3))).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27399834 divided by 1304754.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 7*d + 75. What is the remainder when 43 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -11*h**2\/2 + 2. Let j(p) = -2*p**2 - 16*p - 7. Let v be j(-7). Let i(s) = 6*s**2 + 5*s**2 - 16*s**2 + v*s**2. Give b(i(g)).\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19, -32, -33, -16, 25, 96?\n\"Answer: a**3 - 20*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0210777 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 506*d + 200*d - 318*d + 4 in the form h + b*d and give b.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 72 = 4*t, h - 12 + 30 = t. Calculate the smallest common multiple of t and (-30)\/(-7) - 2\/7.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -13*r**2 - 289*r - 55. Determine h(-22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*d**5*i + 10*d**5 - 695*d*i wrt d?\nAnswer: -1400*d**3*i + 200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - -50. What is g rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r - 36*r + 352 = -22*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 734501227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/9, 0.6 in increasing order.\nAnswer: -4, 2\/9, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehe when three letters picked without replacement from eexffhheef.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -204 - -206. Suppose 7*f + d*f = 7*f. Solve -q + 5*t = 17, f*q + 14 = -2*q + 5*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 393515 and 17935?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-1 + -1)*-3. Let m(h) = -h**3 + 2*h**2 + 4*h - 2. Let z be m(b). What are the prime factors of 2\/z*(-18)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 4\/(-3))\/(16\/24). What is the closest to -2\/9 in 0.2, q, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 99\/3 - (-1 - 0). Suppose -v = 12 - u. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16963204 = 16*p - 5703996. What is p rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7629.\nAnswer: 3, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71088367 to the nearest integer?\nAnswer: 8431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8621*p + 77623. Determine f(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 795658.4 millimeters?\nAnswer: 0.7956584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000424321133 to 7 dps.\nAnswer: 0.0004243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 4445359597?\nAnswer: -4445359601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 75 - (9 - (7 + -11 + (-5 - -9)))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1216 - 1220. What is the closest to -1 in w, -3, 1\/39?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*11.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(5\/(-3))\/((-40)\/(-240)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (-1840)\/70)\/(1\/7). Suppose -151 = 2*h - k. Solve 0 = 3*c - h*c - 0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -20*u + 17*u - 1, 3*u = -3*p - 9. Let k be 188\/20 + (-6)\/15. Solve p = -5*b + k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 - 111.3. What is the nearest to 0 in 2\/13, k, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 26813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 47a601?\nAnswer: -47a605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.8 - -2.8. Let o = d - -2. Let y be 1\/6 - 4\/6. Which is the third smallest value? (a) y (b) -2\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 95*l - 8933. Let q(i) = 10*i**2. Give r(q(f)).\nAnswer: 950*f**2 - 8933","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1672*m + 122666 = -118730 + 40756 for m.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 14\/162035?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c + 2. Let n(p) = 2*p. What is i(n(l))?\nAnswer: -8*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i - 1. Let z be u(-1). Let x(r) = 2*r**3 - 3*r**2 + 2. Let k = -4 - -7. What is the least common multiple of k and x(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1905 - -1900. Which is the closest to 1\/2? (a) -0.2 (b) 5\/12 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**3 - 3*b**3 - 2*b**3 + (-3*b**3 + 5*b**3 + 0*b**3)*(1 + 2 - 2) + 3*b**3 + b**2 + 0*b**3 - b**3 as u*b**3 + v + p*b + k*b**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3 + 17 = -3*b, 5*b - z + 20 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2)*(2 - 2 - x) - 2*x + 3*x + 4*x + 14*x - 1 + 1 + 1.\nAnswer: 16*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-572)\/(-30)*(-9965)\/65769\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 + 8 + 1 - 2 - 2*u**4 wrt u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j = 16*j - 4. Let n be 0\/(-4)*2\/4. Sort j, -4, 3, n.\nAnswer: -4, j, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28 - 3?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1365 times -11\nAnswer: -15015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 627 - 57059\/91. Let r = 25948 - 2361309\/91. Let v = r - i. What is the second biggest value in 2, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*p + 8 = 2*n - 399*p, 4*p = -4*n + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/10)\/((-5)\/(-850)). Let y(a) = t - 68 + 2*a. Let c(l) = 5*l. Give y(c(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -332501745*l**3 - 481955549*l**2?\nAnswer: -1995010470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6))\/((-2)\/(-552)). Suppose -6*d + 3*d = -3*t + 78, 2*d - x = -4*t. Suppose 0 = 12*p - 6*p - 6. Solve -5*y - t - p = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 1:14 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2762*l - 103413. Give s(-37).\nAnswer: -1219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3 + 1 = r, 5*h = -r + 26. Is r at most 9\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019674 to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - b**3)*(-24 + 8 - 1) + 2 + b**3 + 0 + b**3 in the form o*b + x*b**2 + a*b**3 + v and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11072*b**5 + 12682*b**2.\nAnswer: -664320*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w + 12 = 0. Suppose 5*m + w = 7*m. Let v be ((18\/(-28))\/m)\/3. Is -1 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -5 - (-3 - 9)) + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -11*w + 130. Suppose -4*x + 3*x + 1 = 0. Let a = x + w. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-28))\/(((-2)\/(-35))\/(2\/(-10)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 91 and 91 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2411 - 3?\nAnswer: -2414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 6*f - 26*f + 117 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -5 + 7 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6443856 divided by 72?\nAnswer: -89498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from {v: 4, m: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 1. Let o(c) = 4*c**2 + 2*c + 4. Let t(a) = -o(a) - 5*v(a). Let d = 24 - 28. What are the prime factors of t(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvc when three letters picked without replacement from {v: 1, i: 3, g: 1, c: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -0.425361.\nAnswer: -0.425361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 355, 3, 10, 4 in ascending order.\nAnswer: 3, 4, 10, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/(-20))\/(-1))\/(139\/(-417)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21146.\nAnswer: 2, 97, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from ylkdkred?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -31*i + 195. Let g(m) be the first derivative of -i - 10\/3*m**3 + 0*m**2 + 0*m + 3\/4*m**4. Find the third derivative of g(v) wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 17 = -3*c. Suppose 202 = 3*n - 4*z, 3*z = 2*n - 2*z - 137. What is the highest common factor of n and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 481, 131, -5, 3 in ascending order.\nAnswer: -5, 3, 131, 481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 e when three letters picked without replacement from {z: 4, r: 1, e: 2, a: 3, p: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/8 and 154\/420*1\/(-2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0.5 (c) 29 (d) -0.3 (e) -0.04 (f) -1969 (g) 161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7*d - 11. Let x be t(-11). Let l be x\/16 - (-3)\/(-24). Suppose 0 = 4*n + 4*s - 748, -l*n + 662 = -4*s - 118. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 351 + -341. Which is smaller: 14 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2715 = 91*b - 94*b. Let r = 171 - b. Is r a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141502 by 29.\nAnswer: 141502\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**25*(s\/(s*s*s**(-3\/40)*s))\/s)\/(s**(-7)\/(s\/(s*s\/(s**(11\/2)*s)))) assuming s is positive.\nAnswer: s**(1383\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/9 - 159008*y**2\/9 - 3160443008*y\/9.\nAnswer: -2*y*(y + 39752)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 + 2*f - 1. Let n be r(1). Let h = -24.8 + 25. Let d = -36 + 145\/4. What is the second smallest value in n, h, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -75*j - 6165. Let z(t) = 169*t + 12331. Calculate 9*n(d) + 4*z(d).\nAnswer: d - 6161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -1\/5*u**5 - 4*u - 14\/15*u**3 + 3\/5*u**4 + 0 + 4\/5*u**2 + 2\/75*u**6. Factor o(n).\nAnswer: 4*(n - 2)*(n - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 1, r: 13, x: 1, w: 1, h: 2}. Give prob of sequence st.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -38.452\nAnswer: -11.5356","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 17*z**2 - 4*z + 11. Let y be k(15). Let j = -11 + y. What are the prime factors of j?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2015348 to three dps.\nAnswer: -1.202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b**4 + b**3 + 7*b**2 + 12 wrt b.\nAnswer: -144*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 8) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*l = -2*l - 61, -3*d + 23 = 4*l. What is the remainder when 38 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 397\/8*x - 199\/4*x**3 - 197\/8*x**4 + 1\/8*x**5 - 1\/4*x**2 + 199\/8.\nAnswer: (x - 199)*(x - 1)*(x + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m. Let a(d) be the third derivative of d**4\/6 - d**3\/6 - 16*d**2. What is -a(y) + 6*k(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 106179*266\nAnswer: 28243614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505*v**3 + 12*v - 4*v + 500*v**3 + 3*v**2 - 3*v**2.\nAnswer: -5*v**3 + 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32766401 and 1477?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 16*o**3 + 32*o**2 - 9*o + 2. Let r(x) = -7*x**3 - 15*x**2 + 4*x - 1. Let f(k) = 9*r(k) + 4*w(k). Give f(8).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = -5489 + 5489 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**2\/3 - 69836*a\/3 + 699560 = 0. Calculate a.\nAnswer: -17489, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-145316)\/(-170))\/(-1*(-2)\/100). What is y rounded to the nearest one thousand?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -3100.\nAnswer: -3099.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r. Let u(q) = -34*q + 22*q + 11*q. Give d(u(l)).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 3)*(-43 + 28 + 29) + 5 - 3 + 1)*(10 - 16*t - 9 - 59*t).\nAnswer: -1275*t + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -13545 at most -40637\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (-27 - (-11 - 13))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + 114. Let v = -235\/2 + l. Let h(w) = w**3 - 3*w**2 - 4*w + 3. Let s be h(4). Which is the nearest to 0? (a) s (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 178*w**2 - 2. What is the units digit of v(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**4*u + 18*r**4 + 3*r**2*u**3 + r*u**3 - 42*r*u wrt r?\nAnswer: 24*r**2*u + 216*r**2 + 6*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17447 + 0*a**2 - 7*a**3 - 17447 - 7*a**3 + 4*a**2.\nAnswer: -14*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppkk when four letters picked without replacement from pkkkipkkp?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181621784?\nAnswer: 2, 22702723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1410544 and -79\/241479?\nAnswer: 88864272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.8 + -3. Let c = 0 - 0. Let o = -2 - c. What is the closest to q in o, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*u - 39*u - a + 2, 3*u - a = 0. Solve m = -z + u*m + 4, -4 = 2*m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1471149 divided by -5.\nAnswer: 1471149\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -7*a - 9422*c + 9419*c, -2*a + 3*c = 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 93909000 to the nearest one million.\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**2 - 12*o**2 - 10 + 6*o**2 to l*o + r + x*o**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -3*q - 3, 306*q + h = 305*q + 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-69)\/9 + 1\/(-3). Let t = r + 11. Let v = t + -1. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -739 divided by -14089\nAnswer: 739\/14089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 2. Let a be o(0). Suppose -3*m + 18 = -a*d, 2*m - 17 = -0*d + 3*d. Does 14 divide (-4)\/((-46)\/14 - d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 166 = 55*w. Solve -4*v = -w*a - 12, -a - 24 + 15 = -3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 253*v - 1768. Let q be j(7). Solve 4*a - 3*d = -0 - 2, 10 = 4*a + q*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*o + 256*o + 529*o = 15249 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 41 = 3*z, z + 0*z = -3*w + 79. Put -5, 8, w in decreasing order.\nAnswer: w, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1554 + 1545 = 3*p + 3*y, -3*y - 9 = 4*p. Let c(w) be the first derivative of 4\/5*w**5 + 1\/3*w**6 + 0*w + 1\/2*w**4 + p*w**2 - 13 + 0*w**3. Factor c(b).\nAnswer: 2*b**3*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/96 and -103\/22794?\nAnswer: 364704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32795868419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - 3*u + 2*u + (-3*u + 7*u - 2*u)*(0 + 1 + 0) - 13*u + 29*u + 25*u)*(2*u**2 - 2*u**2 + 2*u**2) to the form b*u**3 + y + w*u + o*u**2 and give b.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 12*y**4 - 7*y**2 - 4*y**3 + 49*y**4 + 7*y**3 - 3*y**3 + y + y**3 to the form z*y + p*y**2 + f*y**3 + u + v*y**4 and give v.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Suppose 7 = -z*u + 1. Does 11 divide (-66)\/((-4)\/u + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133 + -136. Suppose 4*f = -0*f - 16, 0 = 4*o - 3*f + 4. Sort o, 5, w in decreasing order.\nAnswer: 5, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -610, -601, -584, -559, -526, -485?\n\"Answer: 4*m**2 - 3*m - 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*((sqrt(78) - -5*((sqrt(78) - (sqrt(78) - (sqrt(78) - sqrt(78)*-1))) + sqrt(78))) + sqrt(78)))\/(-2*((3*sqrt(72) + sqrt(72))*3)\/sqrt(12)).\nAnswer: -85*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 173 and 4.\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 151369*a**3*r*y**2 + 2*a**3*y**2 - 4763*a**3*y + 9*a**2*y - 2*r*y**2 + 5*r wrt r.\nAnswer: 151369*a**3*y**2 - 2*y**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 139271 and 36832?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -952 - -411. Let v = -546 - k. Which is the third smallest value? (a) -2.8 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6 - d**2 + d - d + 4*d. Let i be j(5). Let y(k) = -k**3 - 4*k**2 + 4*k - 1. Let w be y(-5). Sort -1, w, i in increasing order.\nAnswer: -1, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = b + 6, -5 = b + 4*b + 5*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -145.0363?\nAnswer: 140.0363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x + 16. Let b be -3 - (-26 + (0 - 2)). Let z(n) = -1 - 8*n + b*n - 3*n**2 - 15*n - 3 - n**3. Calculate z(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 9 = z, -3*s - 5*z = -11 - 13. Solve -4*l + 7*l = -s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 96\/15 - 2\/5. Let q be (-1 - -4)\/(c\/4). Let g = 2.1 + -2. Put q, -2, g in ascending order.\nAnswer: -2, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1.77?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 221, 21\/4, 5?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47*k**3\/7 - 254*k**2\/7 + 300*k\/7 + 792\/7.\nAnswer: -(k - 2)*(k + 6)*(47*k + 66)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11091571 - -0.027?\nAnswer: -11091570.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 63\/2*n**3 + 0*n + 34*n**2 + 0*n**5 + 0*n**6 + 0 - 37\/105*n**7 + 0*n**4. What is the first derivative of y(s) wrt s?\nAnswer: -296*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**2 + 37*s**3 + 42*s**3 + 37*s - 160*s**3 + 41*s**3 + 39*s**3.\nAnswer: -s**3 + 6*s**2 + 37*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(4\/3)\/(y*y**(-14))*y**2\/y*y*y*y**(-9\/2)*y assuming y is positive.\nAnswer: y**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**5\/30 + z**4\/12 + z**3\/3 + 935*z**2. Let b(h) = 3*h**2 + 2*h + 1. What is 5*b(x) - 6*u(x)?\nAnswer: 3*x**2 - 2*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*z = -1549, 4*q + 7*z = 9*z + 3118. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) -18 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*f + 6 = -x, -2*f = 2*x. Let l(d) = 10*d**2 + 18*d - 12. Let n(z) = z**2 + z - 1. Let b(p) = x*l(p) + 12*n(p). What is q in b(q) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 2*g + 2*g)*(-3 - 150 - 29)*(-4 + 2 + 1) in the form b + t*g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a microgram in nanograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101001101100010001 (base 2) in base 15?\nAnswer: -13d936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1104031 and 173417.\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00968527603 to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*s = -23, -s - 1 = 4. Suppose x*j = 2*z - 22 - 4, 0 = 2*z + j - 41. What is the greatest common factor of z and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - -26)\/(211\/4220).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(684) + sqrt(684) + -2) - 1*(-3*sqrt(684))**2) + 0.\nAnswer: -6152 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 291666*k**2 - 4*k. Suppose -2*v + 2*t - 18 = -56, 0 = 2*t - 6. Let i = 16 - v. Let m be f(i). What is m rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 11*u**2. Let l(d) = -3*d + 2*d + 2*d + 3*d. Let y(b) = -b. Let x(z) = -l(z) - 6*y(z). What is x(s(i))?\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by -399878.\nAnswer: 49\/399878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + sqrt(147)\/sqrt(3)*-5)\/sqrt(7).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/15 (b) 0.1 (c) 1 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -122, -228, -450, -830?\nAnswer: -1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/550)\/((-5592)\/30)*-12. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 29\/5 of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 1:17 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328404231?\nAnswer: 3, 36489359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -15*n**2 + 5*n - 5. Let s(w) = 7*w**2 - 3*w + 3. Suppose 128*x - 146*x = 90. What is x*s(y) - 3*q(y)?\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222*125.\nAnswer: 27750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1\/57583, 424?\nAnswer: 424","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/65 + -58\/455. Which is the biggest value? (a) -2\/11 (b) v (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**5\/40 + 11*d**4\/8 + 121*d**3\/4 - 11*d**2 - 3. Let k(m) = 0. What is m?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 70 + 57 + 4*z + 30. Calculate k(11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 12:18 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-11)\/((-88)\/32) - -5464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 9*b**2 + 35*b - 30. List the prime factors of d(10).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*17\/((-204)\/126)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 plus -0.2307671?\nAnswer: -33.2307671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 4. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**6\/90 - x**4\/36 + 2*x + 2. Let m(n) be the first derivative of s(n). Determine a so that m(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwrwrrrwvwrwrrr. What is prob of picking 2 v?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36.109 - -38.109. Which is smaller: s or -15486?\nAnswer: -15486","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9489 by -3163.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-48))\/((-8)\/160)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -10*n + 30. Let u be (-12)\/(-16)*24\/n. Is (1 - (u + 0)) + 258 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1)*l)\/(l\/(l\/(l\/(l\/(l\/(((l\/l**(5\/6)*l)\/l)\/l))*l)))))**(15\/2)*(l*l**(7\/4)*l\/(l*l**(5\/2)*l))**(-1\/20) assuming l is positive.\nAnswer: l**(1303\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9574, 19150, 28726, 38302, 47878, 57454?\nAnswer: 67030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*n - 32 = 0, -2*h + 2*n + 18 = 2. Let k be (h - 1)\/(10\/(-4) - -3). Let m(u) = -u + 0 + 0*u - k. Give m(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 13*x + 3. Let o be a(13). Suppose f + 5*t + 24 = 0, -4*f - 8 = f - o*t. Does 4 divide (f\/((-12)\/57))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 8*w + 49 = 3*q, 2*q - 38 = 4*w. What is the lowest common multiple of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/13 + 96*s**2\/13 + 1530*s\/13 + 8092\/13 = 0 for s.\nAnswer: -17, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 507*n + 14672 = 509*n. Suppose -u = 3*b - 4393, -14 - n = -5*b + 4*u. What are the prime factors of b?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1 = -3*v, 0 = -5*v + 18 - 3. Suppose -g*r = -0*r - 744. What are the prime factors of (-2)\/(-5) - r\/(-10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 127856*h**3 - 1355.\nAnswer: 383568*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*n + 190*n = 58. Which is the biggest value? (a) n (b) 3\/2 (c) -0.15 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.43 + 8.41882. Let a = q - 0.02. What is a rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -4\/13, 37?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 5*m + 115, 5*m = 3*r + 16 - 77. Does 10 divide 9\/(r\/(-6))*-10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 62 = -38*i, 10 = o - 2*i - 3 + 71 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(100) - sqrt(100))\/sqrt(2)*5)\/(sqrt(80)\/(-3*-2*sqrt(8))))**2.\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 + 3. Let p(g) = -g**2 - 1. Suppose v - 3*n + 0*n + 1 = 0, 0 = -2*v + 5*n. Determine v*p(c) - b(c).\nAnswer: -2*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 7*s - 4 = 0. Sort s, -5, -4.\nAnswer: -5, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 3*o + 5. Determine g(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 0, -7, -3 in decreasing order.\nAnswer: 4, 3, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2 - 182409100*c - 1663653988140500 = 0. Calculate c.\nAnswer: -18240910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b + 9*b + 0*b - 4*b to r + u*b and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 140 = 5*f, 4*f + 62 = -3*p + 5*p. Let u = p - 28. Let m = 14 - 9. Which is the third biggest value? (a) u (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*12\/27)\/(2\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78277 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5019*y**4 - 4*y**3 - 45*y**2 + 19791085*y - 2 wrt y?\nAnswer: 60228*y**2 - 24*y - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*y + 66161 = 245366. Suppose -23036 + y = -27*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = k + 3*k. Let g be k\/7 + 4\/(-14). Suppose 0*n + 144 = n. What is the highest common divisor of g and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93781*j + 189 = 93790*j for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times 6216?\nAnswer: 93240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 6*a**2 - 5*a + 10. Let j be r(-7). Let x = 5 + j. What is the least common multiple of (-4 - -5) + (x - -2) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50*a - 2448 + 2448)*(-a + 0*a + 2*a) to the form d + r*a + i*a**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10742 + -10740. Solve -35 = -5*w - 4*s, -24*s - 11 = -c*w - 25*s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**7\/105 + o**6\/10 - 8*o**5\/15 - o**2\/2 - 61*o - 47. Let x(r) be the second derivative of t(r). Factor x(q).\nAnswer: 2*q**2*(q - 2)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 3*m**2 - 2. Let k(z) = 5*z. Let b be k(1). Let o be (-4)\/(-6)*(b - (3 - 1)). Determine p(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -3\/8 (c) -3\/5 (d) 4 (e) 63\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7051 is divided by 1060?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13682 + -13679. Sort -4, x, -187 in decreasing order.\nAnswer: x, -4, -187","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 54 = 10*j + 10*j - 7*s, s = 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*i + 63, 0*d + 40 = 2*d - 2*i. Let z = 0 + 4. Suppose -z*h + 9*h - 255 = 0. Calculate the greatest common divisor of h and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 401*p**9\/252 - p**7\/210 + 371*p**5\/60 - 101*p**2. Find the third derivative of x(m) wrt m.\nAnswer: 96240*m**3 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/427520449 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3*i = 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 9 (b) 0.4 (c) -2\/3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 97636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzdrzzdffzzzrdddf. What is prob of picking 1 d and 3 z?\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 978\/19 + -8764\/171. Sort i, 78, 3 in decreasing order.\nAnswer: 78, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 31, -1, 2019?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3711 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 128.\nAnswer: 127.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/6)\/(i*(i**(12\/5)*i)\/i*i) assuming i is positive.\nAnswer: i**(-127\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -3112365?\nAnswer: 3112362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59384.\nAnswer: 2, 13, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -9 - 3. Let m(v) = v + 3. Determine m(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156702 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 110046 and 770320\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -49, 0, -21, -27 in descending order.\nAnswer: 0, -2, -21, -27, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/75 + 238\/150. Let n(h) be the first derivative of -2*h**2 + p*h**3 - 1\/4*h**4 + 4*h + 2. Give n(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-8)*(-5 + (-28)\/(-4)))\/(-3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67260.25294 rounded to the nearest ten?\nAnswer: 67260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -4. Let u(b) be the third derivative of -b**6\/720 - b**5\/60 + b**4\/12 + 5*b**2. Let r(z) be the second derivative of u(z). What is r(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i**2 + 9*i + 3. Determine p(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -66828, -66807, -66766, -66699, -66600?\n\"Answer: g**3 + 4*g**2 + 2*g - 66835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 2738622\nAnswer: 1\/912874","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -364489*c + 472527 wrt c?\nAnswer: -364489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3335, -3337, -3339, -3341?\n\"Answer: -2*b - 3333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + 201 + -2 - -1. Let i = 316 - m. Calculate the remainder when i is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 23*j**3 + 34*j. Let q(v) = 11*v**3 + 17*v. Let h(d) = 2*o(d) - 5*q(d). What is the second derivative of h(i) wrt i?\nAnswer: -54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2809, 8355, 16649, 27703, 41529?\nAnswer: 58139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(125)\/((sqrt(405) + sqrt(45))\/sqrt(9)))\/((sqrt(5) + sqrt(15)\/sqrt(3)*-3)*-5).\nAnswer: -1 + sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7171 in -2, 2\/7, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 10 + 16 = 31*g. Solve 28*u - 23*u + 14 = g*n, -2*u + 4 = -4*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3773 + -0.2773. What is the fourth smallest value in 39, 1, y, 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acaacadaaaccaadc. What is prob of picking 1 d, 2 c, and 1 a?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 + 3*h**4 + 2*h**4)*(-5*h - 6*h - 4*h) + h**5 - 5 + 5.\nAnswer: -104*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 7*j**2 + 6*j + 7. Let g be c(-7). Let f = -3 - g. What is the remainder when f is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2948162 equal to 2948162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1384 + -1057?\nAnswer: -23db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -303*h**2. Let u(c) = 1196*c. Give u(j(p)).\nAnswer: -362388*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*v + 2753 - 2881 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -6, 0.4, -16, -0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vos when three letters picked without replacement from voofsvffffosfffv.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u**2 + 20. Let q(b) = -3*b**2 + 14*b + 12. Let l(w) = w**2 - 4*w - 3. Let k(c) = 7*l(c) + 2*q(c). Determine -3*f(d) + 20*k(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*g, 0 = 2*y - g - 75469 + 13568. Is y a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 256*n**2 + 33 + 4 - 512*n**2 + 255*n**2 - 2*n to the form i*n + d + l*n**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -63 (b) 1 (c) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b + 4975 - 555 = 0. Solve -4*t - 142 = -b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (65124\/567)\/((-3)\/(-14)).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 662*h**2 - 152*h**2 + 12*h**2 - 156*h**2 - 152*h**2 - 210*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 48. Suppose l = -2*v + 2, 3*v + g*v + 17 = l. Calculate the remainder when l is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4497261114?\nAnswer: 2, 3, 749543519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 62. Let q(u) = -3*u - 84. Let r be q(k). Solve r*j = -t + 13, -3*t + 0*t = -4*j + 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3285 + 26*h**2 + 3286 - 3*h**4 + 2*h**3 - 11*h + 0*h**3 - 27*h**2 as n*h**3 + t*h + c*h**2 + g*h**4 + y and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*t + 6, s - 5*t - 91 = 0. Let n be (2\/(-10))\/(s\/(-45)). Sort n, -0.2, 0.5.\nAnswer: -0.2, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 51950708 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 79290 to the power of 1\/2, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 - 91*t**3 + 8*t**3.\nAnswer: -87*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099803119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -103, -181, -275, -391, -535, -713, -931?\nAnswer: -1195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 12:31 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k - 26. What is the units digit of x(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100309, 200696, 301071, 401428, 501761, 602064?\nAnswer: 702331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406*t + 1 + 518*t - 5 + 113*t - 330*t.\nAnswer: 707*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22537*n**2 - 33734*n**2 + 336*n**3 + 11197*n**2.\nAnswer: 336*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*g**3*k - 24*f*g**3 - 26*f*g**2*k**2 + 2*f*g**2*k + g**3*k**2 - g**2*k**2 wrt g.\nAnswer: 6*f*k - 144*f + 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 21 + -14 - (-2 - -5) - -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a + 0*a - 4*a**3 + 3*a**3 + 23 - 5*a**2.\nAnswer: -a**3 - 5*a**2 + 12*a + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19584329 + 46224329. Suppose 21*o = 13*o + j. What is o rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 29 = -22*b. What is the common denominator of b\/3 + 11\/((-198)\/(-61)) and 202*(-1)\/(-20) + 2?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**2 + y**2 + y**2 - 5*y**2. Let b(h) = h**2. Determine t(b(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2283 + 56707 = 8*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37463*j**3 - 2*j**2 + 15508?\nAnswer: -112389*j**2 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -521800 to the nearest ten thousand.\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q*r**2*x*z**3 - 2*q*r - 2*q*z**3 - 24*q*z**2 - r**2*x*z - r**2*z**2 - x*z + 6*z**3 wrt z.\nAnswer: 12*q*r**2*x - 12*q + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l**(-1\/6)*l))**(-24))**20)**(-2\/67))**(4\/21) assuming l is positive.\nAnswer: l**(-3200\/1407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Suppose p*r - 16 = w + 4*r, 5*w - 5*r = 20. Suppose -2 - 16 = -2*s. Solve -h + 4*x + 19 = w, -x = 2*h + 2*h + s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {y: 3, n: 2, m: 13}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 - 3852467*w - 14841501986089.\nAnswer: -(w + 7704934)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211059831 to the nearest integer?\nAnswer: 14528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 47 - 4 = 3*l, -l = -3*w - 22. Let i(z) = -88*z - 28. What are the prime factors of i(w)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2100 and 168.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -290*j + 328. Give v(3).\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 2*f - 2*f. Let b(t) be the third derivative of t**2 - 1\/24*t**4 + 0*t**3 + 0 + 0*t. What is n(b(o))?\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -282 - -279. Which is the closest to 0? (a) -0.2 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/7, -40, -1, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -248\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*h = -3, 0*j - j + h + 1 = 0. Let o be 2 - (-1 - j)\/(-2). What is the third derivative of -3*s**o + 2*s**2 + 2*s**2 - s**6 wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1356\/4520)\/((-14)\/20).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 447 and 44104.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1141*o**3\/5 + 2259*o**2 - 9119*o\/5 - 207 = 0 for o.\nAnswer: -115\/1141, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.049 + -43.049. Let h = 0.09725061 + -43.09727261. Let x = m - h. What is x rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 7. What is the tens digit of i(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*d - 25. Let b = 31320 + -15320. Suppose y = d*y + b. Round y to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.28732412 to three decimal places.\nAnswer: -13.287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2))\/((-4)\/6*6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-7 - -21) - -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 8:46 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2830, 5, 3, -3, -42 in increasing order.\nAnswer: -42, -3, 3, 5, 2830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*k = 126*k - 12, 5*c = -4*k + 651. What is the remainder when c is divided by (-16)\/6*15\/(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2 + 571700*x + 33165328 = 0.\nAnswer: -58, 285908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - -5*sqrt(77)*1))\/sqrt(11)*-6)**2.\nAnswer: 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17908220 rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 22*a. Let d be t(1). Let s be d\/(-5)*(-1 - 4). Is 17 a factor of ((-99)\/s)\/((-1)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6 = 5*m. Suppose -m*x = x - 81. Let b = 31 - 13. Calculate the highest common factor of x and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 - 117*z**3 + 1 + z**2 + 148*z + z**4 - 148*z + 1 in the form b*z**2 + o*z**3 + s*z + j*z**4 + p and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139 + -108. Suppose l*i = 30*i + 3. Suppose i*j = 7*r - 5*r - 407, 1007 = 5*r + 3*j. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 9. Suppose -5*b = -5*q + 15, -4*b + i*q - 7 = b. Let p be 2\/b - (-3 + 5). Sort -2, -4, p in increasing order.\nAnswer: -4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -62, -116, -168, -218, -266, -312, -356?\n\"Answer: m**2 - 57*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 474053, 474046, 474035, 474020, 474001, 473978?\nAnswer: 473951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 5 = 3*u. Suppose u*q - 11*q = -15. Solve -2 = 2*j + 6, -35 = -q*d + 5*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*sqrt(7) + 5)**2.\nAnswer: -120*sqrt(7) + 1033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7964, 31983, 71996, 127985, 199932, 287819, 391628?\n\"Answer: -3*a**3 + 8015*a**2 - 5*a - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15535 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/7)*p**(-5)*p assuming p is positive.\nAnswer: p**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/38 - 35\/114. Which is the nearest to i? (a) 2 (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86244788850 rounded to the nearest one million?\nAnswer: -86245000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6343, 2, -0.5, -391, -4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 2950399*y - 8851206.\nAnswer: (y - 2950402)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165\/715 + (-459)\/(-39)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13922966 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 16 + 11 + -9 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-650)\/52)\/((-10)\/4). Let o = 25 - 15. Let a be (-5)\/3*(-3 - 0). Solve o*z - a*z = -f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 9) to base 16.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 - 10)*2 - 184. Let g = j + 802. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*d**4 - 2*d**3 - 12*d**2 - 28*d**4 + 0*d**3.\nAnswer: 2*d**2*(d - 3)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 483, 1816, 4033, 7134, 11119, 15988?\n\"Answer: 442*p**2 + 7*p + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 16*o + 5*o in the form q*o + h and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**3 + 6*q**2 + 12*q + 2. What is the remainder when 437 is divided by b(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 11:49 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 22 = -5*i, -5*i + 4*u = -8 + 37. Which is the biggest value? (a) 0.07 (b) 1 (c) i (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 - 211 = -45*a + 201 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 2*n + 2 = -3*d + 4*n, -2*n + 18 = 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -203, -312, -423, -536, -651, -768, -887?\n\"Answer: -t**2 - 106*t - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**3 + 2534. Let c(h) = -1141*h. Give c(f(v)).\nAnswer: 3423*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = y + 3, 28*y = -4*s + 31*y + 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 898 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 4:40 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 432743 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*d + 14437 - 2423, -d = -2*u - 5993. Let c = d - -1282. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 122368*b*m + 15612*m wrt b?\nAnswer: 122368*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4614533 is divided by 3018.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.001? (a) -20 (b) 0.5 (c) -1 (d) -0.4 (e) -44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1\/5, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (44\/(-10))\/(5\/(-25)). Let c be (-1)\/((-46)\/k + 2). Suppose c*a - 5*a - 168 = 0. Calculate the greatest common divisor of a and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 16201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 401537, 2, 4, 29\/5 in decreasing order.\nAnswer: 401537, 29\/5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 = 2*c, 2*a + 4*c - 24 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -991338?\nAnswer: -991338.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -136359, -2\/5.\nAnswer: -136359, -2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19, -12, 0.2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 341413334 (base 5) to base 8\nAnswer: 5614172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22458*q + 4130*q + 14525*q.\nAnswer: 41113*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, -21, 5, 7, -3 in ascending order.\nAnswer: -21, -6, -4, -3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.1823 - 0.8177. What is the biggest value in 4, 9\/2, 1, v, -3?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 divided by 111?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000202704808 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 84 - 64. Calculate the greatest common factor of 3 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 21*m**2 + 6*m - 11. What is the tens digit of u(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605779 is divided by 228?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, v: 9}. Give prob of sequence vy.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(8\/5))**(3\/11)\/(c**(-27)*c*c*c\/c**10) assuming c is positive.\nAnswer: c**(1894\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 53, -1, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gttgg. Give prob of sequence tggg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1758310 and 34.\nAnswer: 1758310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120615972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -15050448*l. Let b(z) = -z. Determine b(c(p)).\nAnswer: 15050448*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28750 divided by 1250.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9719 is divided by 2361.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0306 in -1.881, 0.5, 6\/41?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b**2 + 2*b**2 - 2*b**2)*(-374*b - 212 + 186*b + 190*b) in the form g + m*b**3 + p*b**2 + u*b and give p.\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 157, 346, 589, 874, 1189, 1522?\nAnswer: 1861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.01045\nAnswer: -0.0418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*g**3*j**4 + 6*g**3*j**3 + 11*g**3*j + 5*j**2 wrt j?\nAnswer: 600*g**3*j + 36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169 - 114. Let x be (-4)\/(-22) - (-1288)\/r. Let u = -187\/10 + x. Find the common denominator of -69\/20 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 375804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -284*b + 2*b**2 - 2 + 95*b + 95*b - 3*b**2 + 90*b. Give i(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4426 + -0.0426. Let o = 0.4 + 0.1. Which is the closest to -2? (a) o (b) u (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1625 (base 8) to base 6.\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6835 and 114828.\nAnswer: 574140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 0 (c) -5089 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(96)*3)\/sqrt(8) - sqrt(12)))\/(-1*sqrt(36)*6)*3.\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from tqhhtocmhhtcttomh?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.008 + 1557790\nAnswer: 1557790.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/16)*q)\/(q**4*q*q))\/(q**32\/q*(q*q**(2\/57)*q)\/q) assuming q is positive.\nAnswer: q**(-33605\/912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppuutpptttuuup. Give prob of picking 2 u and 1 t.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*y = -1755*y - 631 - 17350 - 3724 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.1. Let r(j) = j + 12. Let s be r(-10). Is y greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z**2 + 6. Let w(u) = 8*u**2 - 7. Let k(m) = -7*t(m) - 6*w(m). Let j(q) = -2*q**2. Let v(b) = 6*j(b) + 10*k(b). Let p(f) = -3*f. Determine p(v(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 5 (c) -174 (d) -3 (e) 4 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26a0 (base 15) to base 13.\nAnswer: 39a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/2 of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 285723113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-242 + 242 + 6*k**3)*(-1545*k + 493*k + 694*k - 2144*k).\nAnswer: -15012*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73*i**3 - 12*i**2 - 2*i + 29502 wrt i.\nAnswer: 219*i**2 - 24*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 1:08 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 2:47 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97248 and 4803.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*2)\/sqrt(12) - (sqrt(50)*1 + (-5 + sqrt(8)\/sqrt(4))**2).\nAnswer: -27 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-342)\/(-76)*124\/2 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s - 337. Let c(y) = -2*y**2 - 43. What is c(t(z))?\nAnswer: -50*z**2 - 6740*z - 227181","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 187612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l - 1. Let o be t(-5). Let c be o\/4 + 2\/(-4). Let y be 10\/c*6\/4. Solve a = 4*h + 17, 2*a + 10 = a - y*h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21270, 21273, 21286, 21315, 21366, 21445, 21558?\nAnswer: 21711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 0.4 (b) 1 (c) -2\/11 (d) -0.03 (e) 18.5 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*p - 2*j - 158 = -451*p, 6*p + 4*j + 284 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(119)*-6)\/(sqrt(70)\/(sqrt(50)\/sqrt(5)) - (1*sqrt(700) - sqrt(700))).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 352907.57*5\nAnswer: 1764537.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 6\/13, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*k - 24. Let v = k + -4. Solve p = -5*t + 10, v*p = -3*t + 2*t - 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 770704365 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 + 0.2. Let f = -19\/115 - 10\/23. Let y = 4.8 + -0.8. Which is the second smallest value? (a) f (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11542646317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 14. Let n be 40\/6*(-22 + 16). Let a = n + 44. Solve -a = 4*o + x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 117?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - h**2 - 2*h - 13. Let r(s) = s + 0*s**2 - s**2 + 3*s**2 + 12 + s**3 + 2*s. Let g(x) = 5*k(x) + 6*r(x). Calculate g(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3487 by 2.\nAnswer: -3487\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 10181 = -3*l, 6*f - 5*l - 5073 = 5*f. Round f to the nearest 100.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1127 or 903?\nAnswer: 903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i - 19. Let v be u(-6). Solve 0 = v*r + 1 + 19 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -28. Which is the smallest value? (a) 0.5 (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 15, l - 36*y - 81*y - 153 = 6*l + 41*y + 2212 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2, -0.1, -0.1006718, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1665.47 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 33 + 15. Let i be -1 + 251 + (2 - 3). Calculate the common denominator of 23\/12 and (i\/t)\/1 - 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 75645*k**2 - 60170 wrt k.\nAnswer: 151290*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -85, 12 in decreasing order.\nAnswer: 12, 0, -3, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -13848, -998, 5.\nAnswer: -13848, -998, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 3*m + 4. Suppose -17*a - 33 = -6*a. Determine y(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -137*f**2 + 7*f + 8256 wrt f?\nAnswer: -274*f + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 20. Let f(c) = c**2. Calculate f(k(w)).\nAnswer: w**2 + 40*w + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12522 = -1340*o - 19638 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (153 - 163) + 0 + 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -828*k**3 - 6*k - 2. Let g(s) = 10764*s**3 + 81*s + 27. Calculate 2*g(l) + 27*j(l).\nAnswer: -828*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - 35. Is (2 + -1)\/((-2)\/j) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -58*j**2 - 8*j - 5. Let m be h(-1). Let c(g) = 396*g - 55. Let r(t) = -22*t + 3. Give m*r(k) - 3*c(k).\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2 - 9*y + 9. Let r(m) be the second derivative of -m**4\/12 - 2*m**3\/3 + 2*m**2 + 76*m + 3. Calculate -3*i(o) + 7*r(o).\nAnswer: 2*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 5. Suppose c + l + 4 = d, 5*c - 2*l + 7 = -13. Let b be ((-20)\/(-80))\/((-15)\/24). Is c < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -137.9.\nAnswer: -689.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z**(-6)*z*z*z))\/z*z)\/(z*z**(3\/2))*(z**(-1\/2))**7 assuming z is positive.\nAnswer: z**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -494, -437, -342, -209, -38, 171?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183568589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 1:58 AM?\nAnswer: 713","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.88331009 to three dps.\nAnswer: -0.883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 + -47. Let f be (-1*(3 - 2))\/((-4)\/(-108)). Let k = f + v. Solve 3*j = 4*j - k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -20, 7 in ascending order.\nAnswer: -20, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.836856ms in seconds?\nAnswer: 0.001836856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by 132413\nAnswer: -56\/132413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdxccdxpxwxgxcxpwpw. What is prob of picking 2 w and 1 c?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5440, 5442, 5444?\nAnswer: 5446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.071961 - -0.072. What is n rounded to six decimal places?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 136\/32 + 2\/(-8). Suppose -5*u = -41 - h. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -84293*v + 1135. Let u(a) = 2*a. Calculate u(f(n)).\nAnswer: -168586*n + 2270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 15*t - 3. Let g be b(11). What is the second derivative of -30*i - 51*i**4 + 98*i**4 - 33*i - 9*i + g*i**4 wrt i?\nAnswer: 1056*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35107, -35104, -35101?\n\"Answer: 3*s - 35110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 209*z + 21158. Let r be l(-101). Solve -2*h - 2*s + r - 41 = 0, 15 = 3*s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617 greater than -978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2)\/w)\/w*w\/(w\/(w*(w\/(w**(-1\/2)\/w))\/w*w))*((w*w**(-1)*w)\/w*w)\/w*w**2)**(-1\/11) assuming w is positive.\nAnswer: w**(-3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 98, 184, 296, 434, 598, 788?\nAnswer: 1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 293 and 3799466.\nAnswer: 3799759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114780*h - 114747*h - 297 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - o - 1 = 5, -5*o - 22 = -3*n. Solve 10 = -y + z, -n*y - z - 13 = 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-5) - (-2)\/(-10)*-19. Put -4\/35, -3, o in descending order.\nAnswer: o, -4\/35, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 294780 to the nearest 1000.\nAnswer: 295000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1625, 3238, 4795, 6296, 7741?\n\"Answer: -28*a**2 + 1697*a - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.6583408261 take away -192?\nAnswer: 338.6583408261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*w + 3*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v - 18. Let c be q(3). Let a be 0*5\/15 - c. Solve 2*f + 13 = 3*b, 2*b + a*f - 14 = 4*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.9, 0.1226, 6, 0.05, 2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2343, 9200, 20565, 36432, 56795?\n\"Answer: -q**3 + 2260*q**2 + 84*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54784535 + -1?\nAnswer: -54784536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -202 - -668. Let g = p - 331. Suppose 0*y - 15 = -y. What is the greatest common divisor of y and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13a6047 (base 11) to base 13.\nAnswer: 664751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 394387760?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 + (-7)\/((-7)\/1601).\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.8 - 11. What is the biggest value in 0.1, r, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1938*v - 1887*v - 1916*v + 5685*v.\nAnswer: -56*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11343.285 + 11312. Let q = -0.315 + z. Round q to the nearest integer.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 71*i**8\/56 + 136*i**4\/3 - 861*i**2. Find the second derivative of d(q) wrt q.\nAnswer: 8520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 86, 1288, 3608, 7046?\n\"Answer: 559*j**2 - 475*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 5*k - 13, 3*k + 5*o - 4 + 26 = -0 - 22 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17014530?\nAnswer: 2, 3, 5, 13, 43627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k + 51. Suppose 4*p - 8*p - 96 = 0. Let y be m(p). Let t be (y\/6*-22)\/(1\/(-15)). Calculate the greatest common factor of 110 and t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 836.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-8))\/l)\/l*l*l\/(l**3*l)*l*(l**(-7))**29 assuming l is positive.\nAnswer: l**(-197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 6 = 3*l, -4*l = -3*v + 6 + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**15\/p)\/(p\/p**(-13)))**(-6\/5))**(-15) assuming p is positive.\nAnswer: p**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -442626*p**4 - 237853 with respect to p.\nAnswer: -1770504*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 270010 (base 9) in base 13?\nAnswer: 59880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1350\/100)\/(15\/10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18801 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-31)\/(-1) + (-1 - (5 - 9))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/3 (b) -0.1 (c) -0.4 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -32*((-2)\/3 + (-7520)\/141) a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 6966*q - 13926. What is r(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 3*o. What is the least common multiple of 6 and l(5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-64)\/(-12))*(-28)\/1218?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 - -69. Let a be (150 - 152)*(-26)\/(-4). Sort -5, a, o.\nAnswer: a, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c + -17?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o + 56. Calculate k(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 27*t**5\/5 - 717*t**4\/20 - 271*t**3\/5 + 1557*t**2\/10 - 162*t\/5 + 6872. Solve m(z) = 0.\nAnswer: -9\/5, 1\/9, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -61 - -1?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9401, -9387, -9373, -9359, -9345?\nAnswer: -9331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4845 divided by 3\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45887443.\nAnswer: 7, 6555349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (10 - 24) - (-5 + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2217, -2275, -2319, -2355, -2389, -2427, -2475?\nAnswer: -2539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 2*w**2 + 11*w + 16. Determine g(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 45*l**2 + l + 99. Let d be k(-45). What is the greatest common divisor of 18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89.41 + -13.31. Let p = n - 76. Let x = 19 + -37\/2. What is the smallest value in p, 2\/19, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201020 - -112?\nAnswer: -200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 867389020?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -984672 divided by 234.\nAnswer: -4208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 386, 393, 400, 407, 414, 421?\n\"Answer: 7*p + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 128562583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99 - -30) + 27 + 13 - -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-3))\/((-14)\/6)*(-329448)\/(-282384)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 - 59. Let h(v) = 4*v - 22. Let c be h(s). Solve c*x + 3*x - r - 14 = 0, -3 = -2*x + 3*r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-7 - -6) + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, h: 6}. What is prob of sequence hch?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1276137 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-1 + -2 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, n: 6, m: 3}. Give prob of sequence uum.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(2\/11)*(x\/(x\/x**0)*x)**(-28))\/(((x*x**(-2)\/x)\/x)**(-2\/7))**(3\/23) assuming x is positive.\nAnswer: x**(-50108\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 25*s - 19. What is r(15)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 5*b = -o - 2, 6 = -3*o + 5*b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5438, -8692, -11946, -15200?\nAnswer: -18454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(sqrt(375) - sqrt(375)*1)\/(-1*sqrt(720) - sqrt(720)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -9*j**2 + 34*j**3 + 2*j - 37*j**3 - 2*j. Let t(z) = z**3 + 4*z**2. Let o(m) = -11*t(m) - 6*y(m). Find the third derivative of o(f) wrt f.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 1 - 7 = 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 2. Suppose -b = 5*x + b - 24891, 0 = -x - a*b + 4975. Let t = -10979 + x. What is t rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 20 = -3*o. Let s(g) = 3*g - 1. Let n(h) = -2*h + 1. Let x(f) = o*n(f) + 3*s(f). List the prime factors of x(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94668 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 20707 = -2*m, 5*j - 6*m + m = 34520. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 + -0.24. Let t = -22.4 + 22. Which is the nearest to -1\/2? (a) j (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13.2791 and -7.\nAnswer: -20.2791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 6633 = -4*j. Calculate the greatest common divisor of 67 and j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.52 - -0.48. What is the biggest value in 1\/3, 26, r?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304386938 greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 189027 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z + 10417 - 10417 in the form b*z + t and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (175 + -118 - (1 + -1 + 1)) + 20 + -19.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3876261 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 4, 3, -3 in decreasing order.\nAnswer: 4, 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3601641 (base 9) to base 6\nAnswer: -105443101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 + 104 = -4*u. Let p = 293 + u. What is the tens digit of p\/14 + (-6)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39568099 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((136\/(-272))\/((-1)\/31942*1))\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 + -0.23. Let l = f - 6.7. Let z = 7.02 + l. Round z to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r. Let z(n) = 3*n. Determine 11*y(t) - 4*z(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 892195553932703 - 892195495943273.9999999. Let o = -57989432 + a. Let r = -3 - o. What is r rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 11:04 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -32*s**3\/3 - 38. Let m(u) be the first derivative of 11*u**3\/3 + 134. Calculate -6*b(a) - 17*m(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -960 + 959.513. Let l = -0.47 - z. Let g = l - -0.013. What is the second smallest value in g, -3, 0.06?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 + 13*j**2 - 1176 - 34*j + 0*j**3 + 1116 - j**3 + 4*j**3. Let n be a(-15). Solve -5*d + m - 3*m + 14 = n, d - m = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13220302111 (base 4) to base 3.\nAnswer: 10202201022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 1\/60*c**5 + 1\/2*c**4 + 7\/3*c**3 + 6*c**2 + 0 + 0*c. Let g be t(-11). Is g > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5)\/v**(1\/6)*(((v*v**2*v)\/v)\/v)**(2\/153)*(v**0*v)**(14\/11)*(v\/(v**3*v))\/v**6 assuming v is positive.\nAnswer: v**(-43313\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.797 - -5.797. Let f be (-5)\/10*(-8)\/18. What is the nearest to f in 8, -2\/3, k?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 727474*p**3*z**3 + 958086*p**3 + 2*p**2 + 3*p - 4*z**4 - 1 wrt z?\nAnswer: 2182422*p**3*z**2 - 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpp when three letters picked without replacement from {h: 1, p: 9, d: 1, t: 4, b: 3}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 10*g**2 - 19*g**2 + 11*g**2 - 4*g**3 + 0*g**3.\nAnswer: -3*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/(-42))\/(1*(-3)\/21). Suppose -4*s - 2*m = -0*m + 10, -5*s - 9 = -m. Let q be 6*(s + u\/3). Which is the biggest value? (a) q (b) 0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*m + 64572 - 64533 + 133*m to v + u*m and give v.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155647.\nAnswer: 317, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) -1\/6 (c) 65 (d) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-3)*5\/50. Let d = 8 + -8.2. Which is the closest to d? (a) -1\/4 (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13.54, 2\/9, -0.13.\nAnswer: -0.13, 2\/9, 13.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/5*((-6)\/(-8))\/((-44550)\/(-25200))?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1718609102 to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10666137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1580 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 2*t + 4 - 4*t**2 + 17*t + 4*t. Let h(z) = -2*z**2 + 13*z + 3. Let n(i) = 7*h(i) - 5*s(i). Give n(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22680 + 420840 = 471*t - 303*t. Calculate the lowest common multiple of t and 1580.\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**5\/240 - 19*j**4\/32 - 55*j**3\/12 - 1434*j**2. Factor h(r).\nAnswer: -(r + 2)*(r + 55)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**6\/200 + 7*l**5\/50 - 5*l**4\/8 + 6*l**3\/5 - 2*l**2 - 13*l. Determine a, given that f(a) = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(32\/(-36))*10 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - -1 - 0 - (-23 + 26). Differentiate -6*t**2 - 6*t**2 - 17 + 4*t - 3*t**2 + y wrt t.\nAnswer: -30*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71997942 is divided by 1508?\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86504 divided by -89.\nAnswer: -86504\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4777 (base 9) to base 6\nAnswer: 24241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4476 + -4513. What is the nearest to -1 in -5, r, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4\/3 + 0*t + 1\/3*t**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*q + 2 = 40, -3*v = 5*q - 199. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -11*g**2 + 6*g + 5. Let c(i) = -i - 1. Let v be c(-3). Let o(y) = 4*y + 3*y**2 + 2 + 0*y**2 - v*y - 7*y**2. Give 3*j(q) - 8*o(q).\nAnswer: -q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 2)*(-50*b + 105*b - 31 - 53*b).\nAnswer: -8*b + 124","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12893971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/3*(-6)\/(-32). Suppose -114*g = -119*g. Which is bigger: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 439, 655, 869, 1081?\nAnswer: 1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 4799*a - 4774*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4934 = 52910. Let c = h - -431683\/36. Calculate the common denominator of 57\/34 and c.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2905*p - 2903*p - 2901*p - 2136*p**2 + 8709*p.\nAnswer: -2136*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1232 (base 7) to base 15\nAnswer: 20e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*s**3 + 25*s**3 - 50*s**3)*(7 - 7 - 3*s) + (1 + 1 + 0)*(5*s**4 - s**4 - s**4) to v + b*s**2 + d*s + k*s**4 + x*s**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26327\/5 or -5264?\nAnswer: -26327\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 9) to base 7.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-22281)\/(-24) - 27\/72?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32616 - -32616.024. Let d be (6\/(-18))\/(4\/(-6)). Let b = -1 + d. Which is smaller: b or g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 - 1. Let d = o + -0.3. Which is the second smallest value? (a) 6\/7 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkaonkonpnaon. Give prob of picking 1 k and 1 p.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48867715 is divided by 108.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*l, n + 2*l - 3 = 135. Let i be 60*(60\/25)\/3. Suppose 4*d + 5*v - i = 0, 7*d - 12*d + 5*v = -60. Calculate the highest common divisor of n and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8*h**2 + 424*h - 1. What is z(-53)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 5*j - 107 + 141, 0 = -2*p - 4 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + cce?\nAnswer: cd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = q + 18. Suppose 3*f - 17 = 46. Let w = f + q. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, 2333, -2\/3 in descending order.\nAnswer: 2333, -0.15, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -338*m + 349*m + 12694. Let f = m - -3463\/3. Let i = 2.02 - 0.02. Which is the biggest value? (a) 0.4 (b) f (c) -2\/11 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 509917, 1019889, 1529857, 2039821, 2549781, 3059737?\n\"Answer: -2*h**2 + 509978*h - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-22 - (33 - (9 + 25))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 11*b - 158. Calculate w(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143167 = 5*u - a - 342263, -3*u - a = -291250. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -4*a. Let m(b) = -5*b + 3. Determine m(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 810\/7 - 116. Which is the closest to 0? (a) -135 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 330\/77*(-7)\/3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4303004421 (base 5) to base 12.\nAnswer: -3036931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4971395 (base 11) to base 12.\nAnswer: 2a87bb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4 + 11, 4*b + 5*w + 9 = 0. Let n be 18 + 1\/1 - (6 + -3). Calculate the highest common divisor of b and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + q + 4. Let u be a(0). Suppose -5 = -t + u*h + 4, 0 = 5*h + 15. Let i = 5 + t. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-7 - (-5 - -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 56 - 60. Suppose c + f = 2*c. List the prime factors of c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.205989 millilitres?\nAnswer: 0.006205989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than -1507325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (58\/(-6))\/((-80)\/(-24)). Let m = -5\/2 - b. Find i, given that -2\/5*i**5 + 2\/5*i**2 + 0*i + m*i**3 - 2\/5*i**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -493\/3 + 166. Let k = 1 - -1. Let r = k - 5. What is the closest to r in 3, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - 34*s + 201. Let c be q(7). Suppose 31*h = -c - 94. Let i(j) = 3*j**2 + j + 2. Let k(f) = 7*f**2 + 3*f + 5. Determine h*i(z) + 2*k(z).\nAnswer: -z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 35*h + 123866 - 123866.\nAnswer: 28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448 a factor of 77693888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 - 15*g + 20. Give a(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96929532 + 43420?\nAnswer: 96972952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 127. Calculate the remainder when j is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 35 - -2 - -11) + (8 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -46*x = -8*x + 418 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14143779.452 + -3864.\nAnswer: -14147643.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - -2?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-4 + -1)) + (8 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-6 - -2 - -7) - (6 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 14. Let i = 1 + -6. Let y be 3\/i + 3\/5. Is 14 a factor of x(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 63 = 3*t, -2*n - n + 65 = 5*t. Suppose 0*w = 5*w - n. Find the second derivative of -w*i - i**2 + 0*i - 2*i**2 wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1894222?\nAnswer: 2, 11, 29, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 6:16 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u**2 + 18*u - 10. Determine b(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 789754560 by -17115.\nAnswer: -46144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -598*u**4 + 2*u**3 - 9*u**2 + 6*u + 58 wrt u.\nAnswer: -14352*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/9*(-9)\/12. Let n(j) = 8*j**z - j - 7*j**2 + j. Let s(u) = -6*u**2. Calculate n(s(f)).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 b when three letters picked without replacement from bbmbbmbbbbbb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-38)\/22)\/(-1) + (-792)\/(-2904). Find n, given that -32\/5 - 2\/5*n**5 + j*n**3 + 2*n**4 - 16*n - 10*n**2 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (14 - 3)) + (-14 - -24) - 21?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 922*r**2 - 3 + 3.\nAnswer: -922*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141357, 4, -1, -7 in increasing order.\nAnswer: -7, -1, 4, 141357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p - 1. Let z(m) = -11*m - 1. Let b(t) = 13*k(t) - 6*z(t). Suppose 55 = 5*s + 5*d, -3*s - d = -6*s + 25. What is the units digit of b(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21450000 to the nearest 100000.\nAnswer: 21500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 7 = -2*g, 62*g - 61*g + 10 = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-18))\/q)**(-18)\/(q**(22\/7)\/(q**(-8)*q)) assuming q is positive.\nAnswer: q**(-2339\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 193357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 550 - 555. Let h be x + (-6)\/3 + 6 + -2. Let o(k) = k**2 - 4*k + 1. What is o(h)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 41 (b) -2\/41 (c) -4 (d) 1 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366 - 597 + 226 - 282*a.\nAnswer: -282*a - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/780 + i**5\/65 + 3*i**4\/52 - 22*i**2. Factor g(t).\nAnswer: 2*t*(t + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -166 + -30?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/58304 and -95\/439102.\nAnswer: 14051264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let q be d(-2). Suppose 2*k - 4*c = 28, k = -q*c + 11 - 1. Calculate the greatest common divisor of 36 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28*1)\/(5 + -4). Let q = 25 + c. Is -3\/2 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -51. Suppose -5*h - 10 = -i. Let 38*f + 8 - 21*f + 4*f**h - 29*f = 0. What is f?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 - (-12 - (-17 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*w**3 - 34*w + 9*w**4 + 48*w**3 - 86*w**3 + 1 + 7 - 7*w**4 as v*w + c + b*w**3 + u*w**4 + j*w**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 9 = 0, -3*z + s - 45 + 48 = 0. Let p = 168 + -165. Solve 0 = 4*x + 5*r - 27, -x - p*r + 6 = -z*r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111 - -1100000001111?\nAnswer: 1011111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kxkxxkkeekkkxkkxekxe?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.388021ml?\nAnswer: 0.004388021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1210?\nAnswer: -2\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kggkwgkgwkgkggk. What is prob of picking 1 w, 1 g, and 1 k?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*o - b - 7, 11 = -3*o - b. Let d = 8.17 + 2.13. Let t = d - 10. What is the closest to -1 in t, 4\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o**5\/5 - 26*o**4\/5 + 13*o**3\/5 + 6*o**2\/5 = 0. Calculate o.\nAnswer: -2\/7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from zkzzzkzzzzk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, e: 4, i: 1, j: 3}. What is prob of sequence ie?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -493*v - 42330. What is x(-86)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, 0, 131, -4, -2 in decreasing order.\nAnswer: 131, 0, -2, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-27) - 1560\/2970?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 + 0.2. Let v(j) = 2*j**3 - 4*j**2 + 3*j. Let z be v(2). Let q(k) = -k**2 + 7*k - 7. Let n be q(z). What is the biggest value in n, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -422 + 4*d + 2*d**2 - 2*d + 598 + 328 + 623 to the form n + q*d**2 + t*d and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016751 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(832)*-1)**2.\nAnswer: 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b + 25. What is q(9)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 19883 = 3*a, -4*a + 5*k = -2*a - 13297. Suppose -6*z = 15*z - a. What are the prime factors of z?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63.17 + 63.141721. What is v rounded to 3 dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -431565 (base 11) in base 16?\nAnswer: -a87d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1446 rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 152517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 17*w**2 + 9*w + 1. Let o = 5 - 11. Let p be z(o). Let b = -6589\/12 + p. Find the common denominator of -7\/8 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116064991 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4\/5 - 349*l**3 - 24027*l**2 - 15747*l + 39658\/5 = 0. Calculate l.\nAnswer: -502, -79, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -1590.\nAnswer: -1589.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 0*i - i - i. Let h(g) = -442*g - 34. Let c(q) = 6*q - 44. Let b be c(13). Let y(t) = -40*t - 3. Let p(o) = b*y(o) - 3*h(o). Calculate p(j(f)).\nAnswer: 68*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 - 6*q - 6. Let h(p) = 3*p**2 + 6*p + 7. Give 6*h(r) + 7*x(r).\nAnswer: -3*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 135*l = -448045. What is the highest common factor of l and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(((-1258)\/(-51))\/37).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2\/5 (c) 0.4 (d) 5 (e) -15447 (f) -187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 13. Let o = -2 + d. Let z be 4\/o - 428\/(-4). What is z rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 12:19 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 77*n**3 + n**2 - 11*n - 23. Let v(m) = 153*m**3 + m**2 - 21*m - 45. Let q(w) = 7*r(w) - 4*v(w). Is q(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d*s**3 - 534*d*s**2 - 3353*d*s + 2*d + 6*s**5 wrt s.\nAnswer: 6*d*s - 1068*d + 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.22 - -0.02. Let h be (4\/12)\/(-4 - (-11)\/3). Let d be 2 - h - 0\/6. Put s, d, -1 in ascending order.\nAnswer: s, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -664, -718, -772, -826, -880, -934?\n\"Answer: -54*w - 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 78 in -1\/4, -2\/5, -0.992664, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 776 and 478896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105366266177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -0.05, 136, -0.1, 0.4 in decreasing order.\nAnswer: 136, 0.4, -0.05, -0.1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 28*v**2 + 27*v - 642. Let z be m(28). What is the highest common divisor of 4750 and z?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6223?\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 12 = -12. Solve 0 = -v*s - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3404220 (base 9) in base 8?\nAnswer: -6775217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443 equal to 269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1)\/(2 + -4 + 3). Let n = -3229 + 3228.5. What is the fourth smallest value in 2\/3, p, n, -2\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*b - 14, 0 = 2*w + w - 2*b + 2. Suppose 5*a = 38*a - 99. Factor -4\/5*n**a + 8\/5*n**w + 0 + 0*n.\nAnswer: -4*n**2*(n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**0)**(-1\/18)*l**7*l**(3\/2))\/((l\/(l*l\/((l**2\/l)\/l*l)))\/(l*l**(-1\/6))*(l\/l**2)**(-36)) assuming l is positive.\nAnswer: l**(-481\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11783988673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 5, -24, -59, -100?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(7) - -2*sqrt(7))*-6 - (sqrt(343) + sqrt(343) + -1 + sqrt(7) + 1 + sqrt(7) + -3)**2.\nAnswer: -1802 + 78*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**17)*x**(1\/12))\/((x*x**31*x)\/(x*x**(8\/7))) assuming x is positive.\nAnswer: x**(-1157\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 10*i**2 + i - 9. Suppose -k + 0 = -10. Let j be z(k). Let r(x) = x**2 + 8*x + 10. Let d be r(-7). Solve d*v - j = 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14142055 (base 6) to base 10.\nAnswer: 479987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 161*s**2 - s - 3. Let r(q) = -2*q - 22. Calculate r(x(j)).\nAnswer: -322*j**2 + 2*j - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/40*87546\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.546637mg?\nAnswer: 0.000546637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 318, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131222311103 - 2?\nAnswer: 131222311101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c - 4*c + c**2 + (2 - 2 + 2*c)*(1 + c - 1).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -19*f**2 + 32*f - 1. Let g be p(1). Find the first derivative of 18*d - 16*d - g*d**2 + 86 + 4*d wrt d.\nAnswer: -24*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 51845.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*j**3 - 3*j + 9*j**3 + 11*j**3 + j**2 to the form u*j**2 + l + g*j**3 + f*j and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(130)\/(-1*sqrt(810)) + (4*(-1*sqrt(325) - sqrt(325)))**2.\nAnswer: -sqrt(13)\/9 + 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*v + 7 = 0, 0 = -4*n - 0*n + 3*v + 23. Let z(r) = -10*r - 7*r - 118*r**n + 40 + 119*r**2. Does 4 divide z(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43420 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 192 - 654 = 0. Calculate the remainder when j is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639 = -73*h + 383 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/4? (a) 5 (b) -4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**4\/4 - 3*p**3 + 8*p**2 - 9*p - 17. Is 13 a factor of z(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-138)\/136 + (-19 - 7\/(1876\/(-5427))).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2490 + -2521.42. Let g = v - 121.88. Let z = 161 + g. Round z to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-8)*4\/18*9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 133058664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*b**3 + 46 - 46)*(0 - b + 0) + b**4 + 0 + 0 - 2.\nAnswer: 18*b**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 w when four letters picked without replacement from qwqdcwwqww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 56 - 280. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298887725 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2670408 and 7398?\nAnswer: 365845896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -27063 divided by 1\nAnswer: -27063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 12. Suppose -2*h + 80 = 2*u + t*u, h - 2 = 0. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 10 = -5*q. Solve 5*r = q*c + r + 15, 0 = 2*c + 5*r - 27 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2691963, -2691960, -2691957, -2691954, -2691951, -2691948?\nAnswer: -2691945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.20565 rounded to 1 dp?\nAnswer: -99.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + w = 3*w - 27, 2*h = -w - 79. Let t = h + 55. Is (8\/12)\/(4\/t) + 656 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47.72709 - 14552.\nAnswer: -14504.27291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from {l: 4, g: 4, q: 9}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 18*t + 92. Let g = -451 - -446. Let z be c(g). Solve -97*h + 96*h = z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265634 is divided by 13979.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 3:03 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - 54. Sort 5, x, -2 in descending order.\nAnswer: 5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58767*z = -58764*z - 54 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(143)*-2 + sqrt(143))*-5)\/(sqrt(44)\/(1*sqrt(144))).\nAnswer: 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2331702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 4*l**7\/21 - l**3 + 4*l. Find the second derivative of n(m) wrt m.\nAnswer: 160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1430)\/(-15444))\/(8\/((-432)\/(-30)))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 34 = 5*k, 3*q - 2*k + 57 = -45. Let g = 42 + q. Let b be (-23)\/(-3) + 1\/3. Calculate the highest common factor of b and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 23112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.05069 and 100854.54165?\nAnswer: 100854.49096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7*m**3 - 5*m + 1. Let j be ((-2)\/2)\/2 + 15\/(-30). Let x(y) = y**3 - y. Calculate j*h(b) + 5*x(b).\nAnswer: -2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus 21849?\nAnswer: -21843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(-6) + -2)*6. Suppose 0 = -0*c - s*c. Suppose -112 = -5*i + 2*l, c = 2*i - 5*i - 2*l + 64. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -1\/8*d**4 + 0*d**3 + 1\/20*d**5 + 0*d - d**2 + 0. Let i(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 33*k**2 - k + 70*k**2 - 2*k.\nAnswer: 103*k**2 - 3*k + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/14)\/((-2)\/8) + -2. Let j(p) = p**3 + 14*p**2 + 52*p + 124. Let n be j(-10). Solve o - 3*f + 4 = w, -f = o - 0*f - n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1077265272 to the nearest integer?\nAnswer: 32822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 188*h**2 - 130*h - 1075. Is p(-61) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5.6. Let u = 0.8 - t. Sort u, 2, 1\/2 in increasing order.\nAnswer: u, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a kilogram in grams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from ppjppjj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -116\/3. Let f be 6\/(-3) - (0 + 3). Let j be (0 + (-6)\/(-8))\/(-1). Put y, j, f in descending order.\nAnswer: y, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + ((1 + sqrt(80))*4)**2 + sqrt(80) - (sqrt(80) - (-1 + sqrt(80)*2) - -5*(sqrt(80) + 1))).\nAnswer: -3858 - 348*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*w = -33488, -9*w = -4*m - 6*w + 33488. Let c = m + -5865. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 96, 1012, 3508, 8376, 16408?\n\"Answer: 132*k**3 - 2*k**2 - 2*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6678*y**2 - 9*y + 438086.\nAnswer: -13356*y - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.138944 rounded to four dps?\nAnswer: -0.1389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8*m**2 - 12*m - 10. Let u be w(-5). Put u, 4, 8 in descending order.\nAnswer: 8, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34012 - -34044. What is the closest to -0.1 in 0.04, -0.5, s?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -4\/15, -13, -200, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*l*w**2 - l - 1337658*w**2 + w + 154726 wrt w.\nAnswer: 38*l - 2675316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 754275, 4, -1 in ascending order.\nAnswer: -3, -1, 4, 754275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**2 + 6*d - 1. Let h(j) = 1193. Let c(u) = -265. Let q(g) = -9*c(g) - 2*h(g). Calculate 6*q(l) + v(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-316)\/(-3)*45\/18. Is v smaller than 263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 + (-1 - -6) + (-31 - -31 - -7)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 11*b - 64. Let v be y(-13). Let l = -191 - v. Solve j + l = 5*u, 3*j = 5*j + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 5. Let z = -2 + 7. Let f = z + -9. Let m(w) = w**3 + 5*w**2 + 2*w - 3. Let x be m(f). Calculate c(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5 + 0*w**3 + w**3 - w**2 + 0*w**2 - 3*w + 7*w. Is x(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1026*o - 1025*o = -3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (207\/(-63) + 3)*-28 + -16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 63 = -5*o. Let a(j) = -2*j**3 - j + 1. Let i(k) = -2*k**4 - 14*k**3 + 6*k**2 + 80*k - 58. Let g(y) = o*a(y) + 2*i(y). Determine t so that g(t) = 0.\nAnswer: -13, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*(2\/14)\/((-5)\/10)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -942, -3734, -8422, -15036, -23606, -34162?\nAnswer: -46734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/9)*c)\/(c*c**9)*c\/(c\/(c\/(c**(-19)\/c)))*c*c\/((c**(-3\/7)*c)\/c) assuming c is positive.\nAnswer: c**(881\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 79, 118?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7 + 0*p + 0*p**2 - 7*p + p**2. Let z be u(6). Is 4*z\/2 + 22 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 5*i**2 - 4. Calculate m(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4672 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/6460 and -37\/4522?\nAnswer: 45220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, b: 7}. What is prob of picking 1 u and 3 b?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -183*f**2 - 1553*f + 26. Determine u(-8).\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + (27 - 30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/634916703064 - 286940921470556219\/106485054854378760. Let y = 4\/18635 + o. What is the common denominator of y and -17\/168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -6, -19, -50, -105, -190, -311?\n\"Answer: -h**3 + 6*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 18 + 3 = 3*d, 0 = -2*z + 5*d + 6. Is (-2 - -3)\/(z\/483) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(18\/11)\/i*i)\/((i\/i**(-1\/6))\/i))\/(i\/(i*i**(1\/16)*i))**(2\/11))**(-25) assuming i is positive.\nAnswer: i**(-10975\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67522763.\nAnswer: 7, 11, 673, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.06365 or 1204?\nAnswer: 1204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*y + 19*y + 82*y - 46*y - 66*y**3 + 58*y wrt y?\nAnswer: -396*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -13182, 0, 0.1, -3 in descending order.\nAnswer: 1, 0.1, 0, -3, -13182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9801.64ng?\nAnswer: 9.80164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 149*z. Let i(g) = -33782*g**2. Calculate i(x(s)).\nAnswer: -749994182*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1880.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/225260 and -87\/5824580?\nAnswer: 40772060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.8 and 7499.53.\nAnswer: 13499.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1021454548 rounded to 5 decimal places?\nAnswer: -0.10215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23982, -48033, -72096, -96171, -120258?\n\"Answer: -6*r**2 - 24033*r + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10420 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97499 is divided by 70.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 12:11 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**3 - 30*x**2 + 3*x + 6. Let s(a) = 5*a**3 + 29*a**2 - 3*a - 7. Determine 6*h(v) + 5*s(v).\nAnswer: v**3 - 35*v**2 + 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 744090 - -230\nAnswer: 744320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 11 - 5) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13\/1067822?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + z**2 - 6*z**2 + 4*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 149*r**2 + 32*r + 73. Is v(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4048.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34885 is divided by 991?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 104501442 divided by 9458?\nAnswer: 11049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 0. Let d = -346 + 508. Suppose 2*s - i = d, -c*s - 2*i + 392 = 2*i. Calculate the highest common factor of s and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*d - 16. What is the greatest common factor of d and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 23393 + 23317. What are the prime factors of w?\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r - 4. Let x be g(3). Suppose x*j = 18 + 7. What is the nearest to 2\/5 in j, -4, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from acmfc. What is prob of sequence amc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.939 - 0.061. Let s = 1409\/5 + -282. Which is the nearest to 4? (a) s (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 4, g: 4, h: 1, i: 3, c: 6}. What is prob of sequence qg?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 - (19 - (11 - -56 - 32))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l + 8. Suppose -6*p = -l*p - 20, 26 = 2*v + 4*p. Suppose 8 = 4*b - 12. Solve -k = v*o + b, -3*o - 17 = -5*k + 3*k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 - 0.900032. What is s rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (sqrt(2) - ((sqrt(2) + 4)*1)**2) + -4 + sqrt(14)\/(sqrt(7) + (sqrt(7) - sqrt(42)\/sqrt(6))*-4) + -5).\nAnswer: 24*sqrt(2) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*t + 733522164*b + 619742274*t wrt t?\nAnswer: -2*b + 619742274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 3)*(4*h - 6*h - 6*h)*(-h**2 + 2 - 2).\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.001 and 13283.\nAnswer: 13.283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 49 + 52 + 35)*(-7*c + 2*c + c + 4*c - c - 5*c + (0 + 5 - 3)*(3*c + 3*c - 7*c)).\nAnswer: 8*c**2 - 304*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*t**4 - 124*t**4 + 46*t**4)*(1 + 7 - 4) + 14*t**3 - 26*t**3 - 7*t**4 + 14*t**3.\nAnswer: -255*t**4 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 greater than or equal to -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + c)*(3*c**4 - c**4 - 4*c**4) - 9*c**5 + c**5 + c**5 - 4*c**5 - c**5 + 4*c**5.\nAnswer: -10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -43. Suppose -4*v = -2 - u. Suppose -v*a = -2*a - 16. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rttgrggr. Give prob of sequence rg.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, u: 5, f: 3, b: 2, n: 1}. What is prob of sequence bb?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/2 - 2*w**3 + 3*w**2\/2.\nAnswer: w**2*(w - 3)*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 101010001100100100 (base 2) to base 10\nAnswer: 172836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -188\/5013 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 - 133*p**2 - 246*p - 20987. What is o(-67)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*o*u**3*y + 2*o*u**2 - 10604*u**3*y - 1245000*u**2 - y wrt u.\nAnswer: 234*o*y - 63624*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 1. Let r(u) = 57*u**2 + 6*u - 14. Let k(n) = 6*b(n) + r(n). Let g be k(2). What is the highest common divisor of g and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2536 is divided by 1263.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 0. Suppose 7*i - 11*i = -1784. Suppose -d*a + 19*a = i. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3468245.52 take away 48182?\nAnswer: -3516427.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4) + 180\/8. Let w(p) = -p**3 + 4*p**2 - 2*p - 3. Let c be w(3). Suppose y - o - 231 = c. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15598808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30049 (base 12) to base 10.\nAnswer: 62265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -12 + (-14 - -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y - 9. Let t be w(3). Suppose t*p - 3*a = -0*a + 33, -a - 18 = -2*p. Solve 2*u + p = m, -3*m = u + 2*m + 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-33)\/(-15))\/(78\/(-370)). Let o = g + 8009\/390. Calculate the common denominator of -89\/8 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**5 - 6023*j**4 + 20420*j.\nAnswer: -20*j**3 - 72276*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 21*t**2 - 5*t. Let x(i) = 10*i**2 - 2*i. Let h(f) = -2*n(f) + 5*x(f). Let o(a) be the second derivative of -a**4\/12 + 21*a. Calculate h(o(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3016, -5999, -8996, -12013, -15056, -18131, -21244?\n\"Answer: -w**3 - w**2 - 2973*w - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-29)\/(-87)*6\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8660476 to 2 decimal places.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**2)\/p)**37*p**7\/(p*p\/(p*p**5)*p) assuming p is positive.\nAnswer: p**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296 and 248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2. Let q(x) = -123*x**2. Give b(q(z)).\nAnswer: -15129*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, -4 in descending order.\nAnswer: -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-2)*56\/(-21). Suppose y - 12 = -2*b, 9*b - m*b = 3*y + 41. Let t(d) = 16 - 9 - 4*d - b. Let z(s) = -s**2. What is z(t(n))?\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117\/11 - 340\/33. What is the biggest value in r, 5, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 2\/25 (c) 5463 (d) 3\/7 (e) 0 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232\/7*s - 264\/7 - 2\/7*s**3 - 54\/7*s**2 = 0. Calculate s.\nAnswer: -22, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 3. Let l = b - -1. Suppose 0*a - 2*a - 2 = 0. Is l at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 254 and 1.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -478, 5, 12, 105 in decreasing order.\nAnswer: 105, 12, 5, -1, -478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 - 9*x - 6. Let r be o(-6). Let b = -22 - r. Suppose -78 = -2*z - f + 5*f, 2*z - b*f = 78. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**4\/4 + v**3\/3 - v**2\/2 + 25*v - 452. Suppose 7*r = 3*r. Let o be d(r). What is the highest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 - 5*y. Calculate d(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 47*y**2 + 28*y - 86. List the prime factors of w(-43).\nAnswer: 2, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-470)\/(-13) + 856\/(-5564). Is q <= 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564490 is divided by 2352.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 743 times 1659?\nAnswer: 1232637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*y = 133*y + 135 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -61*h + 6377. Determine p(104).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -547*o - o**3 - 559*o - o**2 + 1112*o.\nAnswer: -o*(o - 2)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15258 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.535 rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*5*(sqrt(72) + -3) - 4*(-3 + sqrt(72))*5)*2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Suppose -j = 3*c - 21, 0 = 2*j - 4*c + 1 + 7. Suppose x = j*x. What is the second biggest value in 2\/17, x, p?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-6)\/1)\/(-6)*-16)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 290 (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 127248548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-7*(-34)\/(-2499))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2603*o**2 + 2762*o wrt o.\nAnswer: 5206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -831 or 56?\nAnswer: -831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**5 + 11420*g**4 - 160692*g**3 - 79964*g**2 + 1056128*g + 963984 = 0.\nAnswer: -2869, -2, -1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 674 + -84. Let c = g + -6537\/11. What is the common denominator of c and 93\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 113*w - 1054. What is m(-103)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncs when three letters picked without replacement from knsvckknk.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z - 5*z + 4*z - z**2 + 10*z to the form x*z**2 + a*z + j and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013 divided by 1013?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (368\/10*3\/(1080\/150))\/((-4)\/3).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-254)\/4 + (10 - 2) + (-476)\/56?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -10 - (11020\/1700 - (-2)\/17).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1022 and 1971.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -915 (base 10) to base 16.\nAnswer: -393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1093*c + 21533 = 37928 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -95 + 1418. Suppose u + 4407 = 15*s. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r - 75. Let g be h(-14). Put g, -15, -1\/6, -1\/3 in descending order.\nAnswer: -1\/6, -1\/3, g, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5453.35 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 27*g = -31*g + 28, -5*g = -2*f - 26. Solve 0 = -4*t + f*a + 8, 4*t - a = 4*a + 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -288, -1106, -2476, -4404, -6896, -9958, -13596, -17816?\n\"Answer: -v**3 - 270*v**2 - v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*t**2 + 196855904316468 - 196855904316468.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*h**4 - h**2 - 97*h wrt h?\nAnswer: -120*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 1:39 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2281974840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j + 16989 = 33*j. Suppose 35*q - 32*q - j = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12233 equal to -12232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*g - 251*g + 793 = -93*g - 91*g for g.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d + 0*d)*((-1 - 3*d + 1)*(-7 + 7 + 8*d) + d**2 + 3*d**2 + 0*d**2).\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 1:17 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -7 (c) 0.2 (d) -0.5 (e) 105 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/80241 and -65\/2877?\nAnswer: 10993017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.15. Let t = -36 + 39.19. Let q = t + 0.81. Which is the fourth smallest value? (a) q (b) -2\/11 (c) -3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**3\/2 - t**2 - 22*t. Let j be h(2). Solve 0 = j*z + 5 + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -10. Let v = 2 - l. Put 0, 2, v in decreasing order.\nAnswer: v, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1392, -1344, -1300, -1260, -1224?\nAnswer: -1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + 24 - 15) + 9 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -8*r + 2. Let f(i) = i - 1. Let v(n) = -2*f(n) - q(n). Let l(t) = -4*t. Let z(k) = 2*k. Let a(s) = 3*l(s) + 5*z(s). Calculate -11*a(b) - 4*v(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4148 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(45)*1.\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*o + 67*o - 4*c = -6, 3*c - 2 = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 68, 167, 316, 521, 788?\nAnswer: 1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-15)*220\/(-32) - -3. Let f be (-1)\/((-2)\/(-6)) - -2. What is the closest to f in -1\/4, a, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*c = -c - 395, c - 101 = w. Let d be (-7*1)\/(5\/w*4). Suppose -d*z + 36*z - 1550000 = 0. What is z rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*x + 28 + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60120 and 118080.\nAnswer: 19719360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-4*q**2 + 3*q**2 + 2*q**2).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**6\/105 - 9*f**5\/70 - 2*f**4\/3 - 12*f**3\/7 - 16*f**2\/7 - f - 8. Solve v(w) = 0 for w.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15614 (base 8) in base 15?\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2 = v + 10, -v = 5*y - 24. Let r be 2\/7 + (-46)\/14. Let x = -8 - r. Which is the closest to 4? (a) -0.1 (b) x (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 186060 to the nearest 1000.\nAnswer: 186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 16. Let i = 91 + -43. Suppose j = 5*b + 8 - i. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -614, -555, -436, -227, 102, 581, 1240?\nAnswer: 2109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*m - 1166, 2*w - 1745 = -3*m + 3*w. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**4\/6 - 2*h**3\/3 + 6*h**2. Let l be w(3). What is the greatest common divisor of l and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 6:45 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*y - 1075020, 0 = -2*f + 3*f + 3*y - 1074988. Round f to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - t**2 + 9*t**2 + 2*t**2. Suppose 4*j - 1 = -5. What are the prime factors of b(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-5 - (-6 + 2 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 6*j**2 - 52*j - 726. Calculate r(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -71278.56 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2514+278958486450\nAnswer: 278958483936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 6:47 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**4 - 964*p**3 - 117120*p**2 - 230400*p = 0.\nAnswer: -240, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -18. Solve -i*h - h = -5*k - 25, -3*h = 2*k + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - a + 673, 3*k - 4*k - a - 344 = 0. Let v be -3 + 36\/15 + k\/(-15). Suppose 4*y + 11 = f, 0 = -f - 3*y + y + 29. Which is smaller: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*z + 1640 = -180*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 4. Let k = 8.6 + -9. Let q = k + 0.2. Which is the nearest to 1\/2? (a) -3 (b) q (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -21. Let j be (0 + 1)*22 + -2. Calculate the smallest common multiple of g and (-2)\/(-2 - -1) + j.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*k**3 + 34*k**4 - 36*k**4 + 5*k**3 + (3*k - k - k)*(4 + k**3 - 4).\nAnswer: -k**4 - 15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 5:45 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50668674271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 - o + 2635 + 43*o**4 - 5287 + 3*o + 2646 as w*o**4 + b*o**3 + n*o + j + m*o**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: -7 * -84\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyyyvys. What is prob of picking 2 y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8367228*b*x**4 - 105*b*x**2 - 21*b*x - 2*b - 8*x**6 - 5*x**2 + 101*x + 1 wrt x?\nAnswer: -200813472*b*x - 960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19631939?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21*(-2)\/(-48))\/((-17)\/(816\/(-60))).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.124, -0.4.\nAnswer: -0.4, 0.124, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2327.\nAnswer: 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = -d - 2*v + 139, 5*v + 17 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 2 + 2 + -3 + -9 + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 321534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0.1. Let g be 4\/(-8) + 393\/(-6). Let d = -332\/5 - g. Which is the nearest to l? (a) -5 (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 5:17 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 1:52 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42892 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 0*f - 5*f)*(94*f**2 + 17*f**2 + 10*f - 6*f - 4*f) in the form u*f**3 + n + q*f**2 + o*f and give u.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*k - 42 = -41*k. Sort -4, -1, k.\nAnswer: k, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14059177 to the nearest integer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*r - 68 = -353*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + s**2 + 6*s**2 + 4 + 0*s**2 - s. Calculate the remainder when w(3) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**5\/10 - a**4\/4 - a**3\/6 + a**2 - 8*a. Let z = 14 - 8. Let t(d) = d**3 - d**2 + 1. Determine z*t(o) - 2*j(o).\nAnswer: 2*o**3 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2661 plus -5874.7?\nAnswer: -3213.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -202002020220 (base 3) to base 13\nAnswer: -10ac10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-75)\/(-24) - 3). Suppose -44 = -6*q + 52. Suppose 15*j - q*j + 1 = 0. Sort -1, a, j in ascending order.\nAnswer: -1, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-6\/11)*r**(-1\/4)*r)\/(r*r**1\/r*r*r*r**3) assuming r is positive.\nAnswer: r**(-211\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -537*o - 7. Let d(z) = z + 1. What is 5*d(p) + h(p)?\nAnswer: -532*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 831984 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + w**2 - w + 2. Let h be t(0). Let n(c) = -4 + 5*c + 26*c**h + c**3 - 20*c**2 + 0*c. Give n(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 210 - 197. Suppose 2*m - 22 = -3*g + 7*g, -g = -2*m + b. Solve -m*i + 0*d = -d - 9, 2*i + d - 5 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*h - 20 = -323*h, 3*q = -3*h + 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 2*p - 6*p - 27 + 22. Determine o(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**1*f)\/f**(-2\/27))**(2\/23)\/(f\/(f*f**(1\/18))*f**(-1))**27 assuming f is positive.\nAnswer: f**(35513\/1242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t\/((t**19*t*t)\/t*t))\/t*t)\/t**(1\/3)*(t*t**(1\/15)*t)\/t**(-1\/46))**30 assuming t is positive.\nAnswer: t**(-11209\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 14*m**2 + 11. Let h be u(14). Suppose -h*j + 6*j = -15. Solve j*l + 17 = -4*i, 0 = -l - 0*i + 3*i + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 152\/4*1. Does 10 divide y\/(-15)*(-150)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-9 - -6) + 4 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13302 and 12224538?\nAnswer: 12224538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 60328894 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99 by -2758.\nAnswer: 99\/2758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -3\/86 (c) -269 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2422ab1 (base 12) to base 3\nAnswer: -111012100010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 68*i**6\/3 - 3*i**5\/5 + 607*i**2\/2 + 1196. What is the second derivative of z(j) wrt j?\nAnswer: 2720*j**3 - 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2438*x - 34045. Give l(-14).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 18*v**2 + 2*v + 22. Suppose y + 39 = -2*b, 16*y = -3*b + 18*y - 48. What is q(b)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 9191*m**2 + 4*m - 2. Let x be q(1). Suppose 5*j = -d + 3036, -5*d + 2*j + x = -2*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(312)\/((sqrt(96) - -2*sqrt(96)) + sqrt(96) - sqrt(96)))**2 + 3 + (4*(-1 + sqrt(1872)))**2 + 1*sqrt(1872)*4.\nAnswer: -336*sqrt(13) + 29984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (-3 + -3 - -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -14 (c) -19 (d) -2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -97, -91, -85, -79, -73, -67?\n\"Answer: 6*c - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 17303*i. Let c(q) = -q**2 - 2. Calculate c(m(k)).\nAnswer: -299393809*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 450 + -199. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8746357 a multiple of 3019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002414 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 502919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 14*p - 14. Give v(-12).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - o - 1. Let c(n) = n**2 + 3*n - 8. Calculate -2*a(v) - 2*c(v).\nAnswer: -4*v**2 - 4*v + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 5, 0, -2, -0.104?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-2) + (7 - 29442). Let q = n - -2513. Let w = q - -2180224\/81. Find the common denominator of w and -5\/3.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from pupuppppp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -7 + 20 + -6 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.021 (b) 17 (c) -3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 12*f**2 + 12*f + 12. Let w be c(-11). Suppose -4 = -u - w. Let o(n) = -5 - 3 - u*n**3 + 4*n**3. Determine o(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -6*z**5 - 328*z**4\/3 - 462*z**3 - 2236*z**2\/3 - 456*z - 208\/3 = 0.\nAnswer: -13, -2, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 172*m + 324. Give z(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 74 = -7*x + 2*b, 5*x - 80 = 5*b. What is the greatest common factor of 231 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48703025.92 rounded to the nearest one thousand?\nAnswer: 48703000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -3. Suppose -45 = 2*f - 5*f. Suppose 4*p = -4*l + u + 11, -2*p = -5*l + f. Let m(v) = 2*v**2 - 4*v - 1. Give m(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61868 is divided by 538.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(25\/1)*1*-2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(242)*1*6)**2.\nAnswer: 52272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 9*n**3 + 6*n**2 - n. Suppose -11*t + 8*t - 18 = 0. Let o(f) = 4*f**3 + 3*f**2 - f. Let l(j) = t*k(j) + 14*o(j). Find c, given that l(c) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -170, -242, -314?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14569 is divided by 224.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*i + 28, -5*i + 3*i + 2*w - 6 = 0. Let x be (-2*(-1)\/i)\/((-1)\/10). Suppose 0*q + 12 = -3*q, 2*k + q = -x. Solve -4*c + c = k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-30) + (-44)\/12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 76 - 648)*(-2*r + 0*r - r) in the form b + k*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 731 - 8111 = -15*o. Let p = o - -696. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - 2*h + 2*h)*(99 + h**2 + 532 + 317).\nAnswer: -2*h**4 - 1896*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -27. Suppose 151 + 63 = s*u - v, -321 = -3*u + 3*v. Let t = 272 + u. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -5\/138 (b) 16 (c) -0.2 (d) -4\/7 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -2528, 2\/3 in increasing order.\nAnswer: -2528, 2\/3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-4*(4 + 2*sqrt(72) + sqrt(72) + 1*(0 + sqrt(72)))*5 + -4)*1)**2.\nAnswer: 75840*sqrt(2) + 467041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*h + 5*m + 59, 0 = -m - 7. Solve -h*q - p = -11*q + 20, 2*p - 12 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.2, -662, -9\/217 in descending order.\nAnswer: 3, 0.2, -9\/217, -662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 0*g - g**2 + 4*g - g + 0 + 2 + g. Determine z(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -31 - 16*k**2 + 64 - 33. Let v(p) = -5*p + 0*p + 12*p - 8*p - 3*p. Determine v(g(d)).\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k + 13. Let w be i(2). Suppose 0 = w*s - 23*s - 4. Does -0.06 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 236.85 - 1.85. Let i = n + -235. Let p = -12 + 11.92. What is the closest to -1 in p, i, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -7*s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y**2 - y + 1. Calculate o(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - x + 3*x = -10, 3*o + 2*x + 10 = 0. Let a(q) be the third derivative of 0 + 1\/24*q**4 + 7\/6*q**3 + 0*q - 45*q**2 - 1\/60*q**5. Determine a(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2872 = -300. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/5)\/(4\/(-10)). Suppose -p*y + 2*i - 12 = -y, 0 = 3*y + 5*i - 22. Is (-4056)\/(-32) + y\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75717666?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.8 and -0.1.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 923, 2015, 3129, 4271, 5447?\nAnswer: 6663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 116138.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -20.3. Suppose -3*o = 41 + 145. Let b = o + 57. What is the biggest value in b, 3, 1, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2960639 divided by 319\nAnswer: 9281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/5 - (-111)\/(-15))*-2. Suppose 4*u - 11*u = -n. Solve 0*j + 4*j = -u*c + 2, -4*j - 4 = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5aec (base 15) in base 2?\nAnswer: -100101110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-1)\/(-10)*-4). Sort -14, o, 9.\nAnswer: -14, o, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -2 (c) 36 (d) 3 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y = 135 - 84 + 272 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -28*b - 3*b**2 + 3\/20*b**5 - b**3 + 1\/40*b**6 + 0 - 1\/8*b**4 - 1\/70*b**7. Factor x(g).\nAnswer: -3*(g - 2)*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/18)\/(5\/(-15))*198\/6\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1114 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/2)\/((-153)\/3876*-8*6\/54).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 20, 4*a = 3*m + 6843 - 1292. Calculate the remainder when a is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 960 = 4*t - 5*v, -5*t + 1202 = -4*v. Is 19 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1967482 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/8 - (-3 - 0). Let l = -42\/113 + 281\/452. Which is the fourth smallest value? (a) l (b) q (c) -7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 7:03 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69436927.\nAnswer: 7, 643, 15427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + -37. Let p = -2094 + 1174. Calculate the remainder when (-3)\/(-2)*p\/(-30) is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s + 9. Determine a(8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6688 and 59052.\nAnswer: 5196576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -6\/7, 0.5, 0.25?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 10*a + 44. Let y be n(-13). Sort y, -3\/4, -0.4, 3\/4.\nAnswer: -3\/4, -0.4, 3\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 - 215 + 111 + 5*k**2.\nAnswer: 5*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o + 212. Calculate b(55).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37489016779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 14032*t - 14025. Give o(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 148?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.67808259 rounded to four decimal places?\nAnswer: -1.6781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**3 - 44*k**2 + 104*k - 64 = 0.\nAnswer: 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, y: 4}. Give prob of picking 3 z.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 9*m**2 + 3. Let j be k(9). Suppose j = 5*b - 7. Let l(x) = -x**2 + 14*x + 35. Let y be l(16). Solve -n = -y*r, 0*r = -b*r - n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -39*s - 93 + 130, 5*q + 2 = 2*q - s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36763942?\nAnswer: 2, 71, 89, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 6*u**2 - 3*u - 13. What is q(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 301808087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1113 - 1013010?\nAnswer: -1020123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 43. Let j = 11663 - 11666. Let i(m) = 2*m + 43. What is j*i(t) + 4*k(t)?\nAnswer: -2*t + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 45 = -4*r. Let b = r - 3. Suppose 16 - b = 5*t. Calculate the greatest common divisor of t and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-2)\/152*-1. Let i = -10289\/38 + 271. Let o = q - i. What is the second smallest value in 5, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.987 times -4641?\nAnswer: 23144.667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*(sqrt(187)\/((-2*sqrt(99))\/sqrt(9)) - (-5 + -1*(sqrt(17) + -1)))**2.\nAnswer: -85 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/30 and -41\/783.\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x - 10 = 0. Suppose p + p = 4. Suppose p*f + 2*f + 20 = q, -5*f - 25 = -5*q. Sort 2, q, x.\nAnswer: x, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 345354691 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/(-1 + -2 + (-33)\/(-9)). Let d = a + 65. Let g(k) = 2*k**2 + 2*k - 2. Give g(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*u + 1742 = 0, 5*y = -5*u - 0*u + 1745. Calculate the common denominator of -47\/33 and (40\/y)\/(-9 - -7).\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -9, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -120, -8\/15, -0.3?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 603 + -288. Suppose 0 = 4*v + v + 3*q - u, 2*v + 3*q - 126 = 0. Suppose -4*z - v = -311. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 1372.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*12\/(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.77 + 0.47. Let p = 164 + -651\/4. What is the second biggest value in c, p, -6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t + 6 = 0. Suppose 0 = 5*x - 4*r + 61, 0*x - 2*r = -4*x - 44. Let n = x + t. Which is the nearest to 2\/5? (a) 5 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*k - 5354 - 2566 - 1530 = 2224 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**3\/2 + 284*d + 2. Let b(g) = -26 - 9*g**2 + 6*g**2 + 33. Calculate i(b(a)).\nAnswer: 9*a**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 1 = -11. Suppose 0 = -5*t + r*t + 9. Is 2 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 19*h**2. Let p(u) be the first derivative of -2*u**3 - 139. Calculate p(k(w)).\nAnswer: -2166*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11045, 11078, 11113, 11150?\nAnswer: 11189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 7*z**2 + 10*z. Let i be w(-5). Let q = i - -5. Suppose -6*o - q - 25 = 0. Is -3 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -28*v**2 + 3*v + 10. Let m be o(3). Let r = 127 - m. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -1\/7, 234\/5, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2. Let j(y) = -y**2 - 5. Let p = 36 + -38. Calculate p*j(w) + 5*a(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1461583 - 18?\nAnswer: -1461612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.4 - 6. Let j = u + -0.6. Let h = j - -1.2. Which is the closest to 1? (a) 0.3 (b) h (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 1:52 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdd when three letters picked without replacement from lldxlxjjlldxdlddldd.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5548 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 4. Which is the second biggest value? (a) -0.2 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -7*s**3\/6 + s. Let a(q) = 245864 - 245864 + 2*q. Determine -9*a(n) - 2*f(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.05 - -0.05. Let l = g + 5. Let o = l - -2. What is the nearest to 2 in -0.2, 2\/17, o?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124.44*3305.8\nAnswer: 411373.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (160\/(-42))\/((-35286)\/(-34407)). Let a = u - -2\/5881. What is the common denominator of a and 61\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/20)\/((-1)\/5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + k**2 + 14. Let q(w) = 2*w**3 + 1034*w**2 + 28. What is -q(n) + 2*t(n)?\nAnswer: -4*n**3 - 1032*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 590*c**3 + 12*c**2 - 2.\nAnswer: 3540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(4 + (1*sqrt(700) - sqrt(700)) + sqrt(700)))**2 - (-3 + -5 + 1*(2 + sqrt(700))).\nAnswer: 30*sqrt(7) + 710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1\/3, 1682?\nAnswer: 1682","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -15377.\nAnswer: -15377.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/15*3*40\/24.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/3*((-25)\/30)\/(2\/(-12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16980*h**2 - 1382*h + 3 wrt h?\nAnswer: -33960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*520\/3900*7\/(6\/(-60)*-2)?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-7) - (-4)\/((-56)\/(-134)). Calculate the highest common factor of 39 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0447 - 3.0447. Which is the third smallest value? (a) -2\/3 (b) 0.5 (c) 7 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5 - 30. Let o(f) be the second derivative of 2*f**3\/3 - 3*f**2 - 20*f + 3. Let u(b) = -3*b + 5. What is m*o(x) + 6*u(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/39*-75)\/(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 9*i**2 - 9*i - 10. Let r = 15 - 5. Let b be x(r). Suppose -3 + 24 = o + 4*q, 2*q - 10 = b. What is the smallest value in 4\/5, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.064, 0.88?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (1 - (-6)\/(-3)). Let j be (0 - n) + 3 + -1. Let t be 2*j\/(16\/6). Solve f - t = -5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 404 and 752.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -335 + -3?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0 = -9. Let k be 2 + (239996 - p) + -1. What is k rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3 + 2 + p**4 + 6*p**3 + 1 in the form y*p + q*p**3 + l + d*p**2 + t*p**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -477 - -294. Let l be ((-1)\/2)\/(1\/238). Let z = l - j. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 2\/19*c**2 - 40\/19*c.\nAnswer: 2*(c - 19)*(c - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*m - 36, -19 - 5 = -m - 5*i. Solve -7*s + 5*s = -m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 4, 1, 2, -1 in increasing order.\nAnswer: -15, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4\/3 + 25826*q**3\/3 - 317554*q**2 - 695382*q + 1004328 = 0. What is q?\nAnswer: -3, 1, 39, 12876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48665965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 765 - 732. Suppose i*w + 52 = 20*w. What is the smallest value in 1\/4, 1, w, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -2 - -8) + -24 + (793 - 843)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -10*m - 86. Let o(i) = i**2 + 11*i + 23. Let l be o(m). Is 235\/((1 - l)\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15813 + 27?\nAnswer: -15775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*g - 16*g - 2562 = -82*g for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2190, 2191, 2192, 2193, 2194?\nAnswer: 2195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/25? (a) -5 (b) -0.3 (c) -18\/5 (d) -3\/2 (e) 2\/79 (f) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.04, -3\/4, 2\/9, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70833 + -141723\/2. Find the common denominator of (62\/(-102))\/(25\/(-3)) and z.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-196) - 38\/399.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 20140\/15*9\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 12220*b - 12225.\nAnswer: 5*(b - 2445)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14326190 + -8?\nAnswer: -14326198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 47*w - 130. Let m(l) = -8*l - 5. Let k(j) = i(j) + 5*m(j). What is k(24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 8:18 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100010101101 + -11?\nAnswer: 1100100010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 18 + 2*d**2 + 10 - 1.\nAnswer: 2*d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**7\/840 + l**6\/160 + l**5\/120 + 3*l**2\/2 - 3. Let s(r) be the second derivative of a(r). Solve s(y) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*h - 27 + 0 = 0, 10 = 2*h. Let m(z) = 233*z**l - 234*z**2 + 2*z + 4 + z. Give m(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, r: 1, k: 3, n: 5}. What is prob of sequence zzr?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/5 + 42*b**2\/5 - 48*b\/5 - 88\/5.\nAnswer: 2*(b - 2)*(b + 1)*(b + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12210 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: Simplify -3 + 2*((sqrt(68) + -1 + 5)**2 + ((-2*(sqrt(68) - (sqrt(68) + 1) - sqrt(68)))**2 - sqrt(68))) + 5.\nAnswer: 60*sqrt(17) + 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256262 is divided by 6090.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 3\/7*s**5 - 298 + 0*s + 1\/14*s**6 - 225\/7*s**2 - 93\/28*s**4 - 185\/7*s**3. Solve w(j) = 0 for j.\nAnswer: -5, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k - 19*k = -q + 7, 170 = -22*k + 5*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*2\/(-6)*5. Suppose 0 = -c*s - 5 + 10. Calculate the remainder when 2 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*i = -4*i - 384, 0 = -4*k + 2*i + 310. What is the remainder when k is divided by ((-735)\/98)\/((-1)\/((-48)\/(-9)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12838387 or 12838388?\nAnswer: 12838388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by ((-276)\/(-24))\/(1*(-1)\/(-2))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 81604.63547648 from 1.3.\nAnswer: -81603.33547648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 13 = 4209*t - 4206*t, 2*k = 4*t + 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 321720 + 75?\nAnswer: 321805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13.32 or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1877483522 - 11.\nAnswer: 1877483511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 2. Let b be l(0). Suppose 4*q = 3*q - b*t + 1, -4*q = -3*t - 48. Let h be (-1)\/12 - 6\/q. Put -0.5, -1\/7, h in ascending order.\nAnswer: h, -0.5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 1. Let w = u - 15. Solve -w = s - 6*s, 5*x + 1 = 2*s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -4. Let w = -229 + 229. Let c be (-15)\/12*(0 + 4). What is the third smallest value in 3, c, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 517.6 - 458.6. Which is the fourth smallest value? (a) 2\/9 (b) -4 (c) -1\/5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-6))\/(-5)*-15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + q + 0)*(3*q - 6*q + 2*q)*(3 - 3 - 4*q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w - 6. Let r be h(2). What is the first derivative of 5*o**3 + 35 + 0*o**3 + r*o**3 + 8 wrt o?\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 517*j - 448*j + 138 = 0. Sort 0, j, -1 in descending order.\nAnswer: 0, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124754 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -960ac (base 15) to base 4\nAnswer: -1310032011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152 - -152.35. Let r = k - 3.25. Round r to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 289*a**3*l - 1193*a**2*k + 2*a*k*l - 1539*a + 5*k*l + 6*l wrt a.\nAnswer: 1734*a*l - 2386*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eerrrexrlr. Give prob of sequence lx.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x = -4. Is (1*(-1 - 30))\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/18 and 2*((-54)\/16 - -1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 1 = 3*q + 5*y, -q = -4*y + 13. Let l(h) = h. Let x be l(q). Solve x*o + o + 20 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1361 and -10557?\nAnswer: 9196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 72*s - 5*s + 840 = -64 - 830, -17*s - 78 = -14*s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 + p**2 + 2*p**2 - 8*p**2 - 249*p**3.\nAnswer: -249*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 304077, 303734, 303393, 303054, 302717, 302382?\n\"Answer: s**2 - 346*s + 304422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(1539) + -3 - -6*(sqrt(19) - 3*sqrt(57)\/sqrt(3) - sqrt(171)*-2)**2.\nAnswer: 18*sqrt(19) + 1821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 62. Let t(z) = 2*z - 31. Let l(f) = n(f) - 2*t(f). Let c(o) = 4549*o**2. Calculate l(c(q)).\nAnswer: -9098*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7679871 to the power of 1\/2, to the nearest integer?\nAnswer: 2771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b - 5. Let i(h) = h + 1. Calculate 6*i(u) + w(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2 + 2. Suppose -3*l + 17 - p = 0. Calculate the lowest common multiple of l and 0\/(2 - 1) - -11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 2*b**2 + 5*b - 4. Let o be x(3). Let f be 2\/(o*1\/44). Let w be (f\/66)\/(1*-1). Is -0.2 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 811110*s**2 - 4*s - 2. Let x be q(-3). What is x rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 - (21 - 19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9279236 a multiple of 958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from inhiiiiviihn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**3 + 4*b**3 + 4*b**3 + (-b**2 - 4*b**2 + 2*b**2)*(-5*b + 5*b + 2*b) to the form n*b**3 + x + f*b**2 + h*b and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3761193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.38 - 57.38. Let q = -60 - z. What is the third biggest value in 0, -2\/95, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116 - 108. Solve 0 = d + a - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3084 = -r. Suppose -3*b - 124 + r = 0. List the prime factors of b.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65224 divided by -16306\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**6\/120 - 7*l**5\/60 + l**4\/2 + 4*l**2. Let k be v(-10). Round k to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 79 = 15*u, -2465*u - 11 = -2467*u - l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2*x + 6, 0 = 5*q - 2*x - 4 - 2. Suppose -4*k + 5*k = -14. Let z be (-38)\/k - (-4)\/14. Solve -r - z*r = q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 83*m + 50 + 92*m - 260*m + 84*m - 100*m**3.\nAnswer: -100*m**3 - m + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1581964, -1581957, -1581948, -1581937, -1581924?\nAnswer: -1581909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 698957676 by -4.\nAnswer: -174739419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 199.\nAnswer: -1\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**2 + 7*y**2 - 28*y**2.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 11*s**2 - 7*s - 3. What is the remainder when g(10) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -15. Suppose y*u - 8 = 12. Suppose u*i - 2 - 8 = 0, 4*j + i - 6 = 0. Solve -3*v = -2*v - j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*a = -150*a - 7*a - 1132. Let x = -8 + 13. Sort 0.2, -2\/5, x, a in increasing order.\nAnswer: a, -2\/5, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -47*t - 286. Calculate s(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -29 + -120 + 126 - (15 + -1).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-22) + 3858*(-752)\/(-31924992). Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.08 - -0.08. Let h = -103 + 228. Let u = h - 124.6. Sort 0.3, 10\/9, u, i.\nAnswer: i, 0.3, u, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/6)\/(12\/1616). Let s = j + -200. Let f(h) = 2*h - 4. Let l(a) = -3*a + 5. Let q(w) = -4*f(w) - 3*l(w). Determine q(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350 + 230 - 625 + 6*x**3.\nAnswer: 6*x**3 - 745","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -8. List the prime factors of (-38)\/(-6) - 4\/t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52.34067 - 0.24067. What is the closest to 1 in 4, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -m + 2*m. List the prime factors of m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w = -24. Let l be (w\/(-170))\/(4\/(-10)). Is l at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 195278*u + 117. Is x(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**5 + 86*n**4 + 680*n**3 - 2080*n**2 - 2752*n + 6944 = 0.\nAnswer: -31, -14, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 3*i**2\/2 - 2989. Let q(k) = 1346*k**2. Determine h(q(l)).\nAnswer: 4038*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 1552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67 and 536.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 5*y**2 - y - 6. Let h be m(4). Suppose -2*i - 1496 = -h*i. What is the highest common divisor of i and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*l - 3*l**3 + 27*l.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 497, 1018, 1539?\n\"Answer: 521*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/6 - 3) + (-8288)\/(-6). Suppose -38479 = -23*t + n. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1176)*2 - sqrt(1176)) + sqrt(1176) + sqrt(1176))\/((2*sqrt(96))\/sqrt(8)).\nAnswer: 21*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130038725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/20 - (-2)\/(56\/105). Solve 5*c = -b*g - 16, 3*c = -11*g + 8*g - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 + 77. Is -7 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17\/8*p**4 - 13\/8*p**2 - 1\/2 + 2*p - 5\/8*p**5 - 11\/8*p**3 = 0. What is p?\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48297943 divided by -48297943?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 35*g**2 - 73*g**2 + 38*g**2 + 46*g**3.\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1175987 - 6134402 = -3*f + q, q = -3*f + 4958403. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -172, -240, -316, -400, -492, -592?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -9*n + 5. Let x(v) = v + 4. Let w(b) = -6*b - 4. Let o(i) = 2*w(i) + 3*x(i). Calculate 2*a(z) - 3*o(z).\nAnswer: 9*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6046 or 6047?\nAnswer: 6046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128904 and 143454039?\nAnswer: 1147632312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1.9, -2, -164, 2, 0.01, -2\/17?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/493479 less than -73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1053 divided by 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d = 32*d + 888. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/5 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1114*s - 1 + 88*s**2 + 1114*s.\nAnswer: 88*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttn when three letters picked without replacement from nnwdt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48018716*t + 44435238 wrt t?\nAnswer: -48018716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1086 + 1179. What is the least common multiple of j and 27?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f*w**3*z**2 + 108572258*f*w**3 - 67*f*w**2*z + 4*f*w**2 - f*w*z**2 - f - 2027*w*z wrt w?\nAnswer: -18*f*z**2 + 651433548*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2457 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**2\/2 + 8*t + 6. Suppose 2*x - 4*x - 4 = 0. Let a be (8 - (-4)\/x)*-1. Let s(l) = 1. Determine a*s(d) + g(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (6 - (6 - (-4 - -4))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 27\/25)*101\/(2828\/840). Let h(i) be the first derivative of 8*i**2 + 2\/3*i**6 + 0*i + 4*i**3 - 5*i**4 - z*i**5 + 13. Find r, given that h(r) = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r + 3. Let u be i(8). Suppose 3*b - 35 = -2*c, 4*c + u = 5*b - 38. What is the remainder when b is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45170)\/(-31619))\/((-95)\/(-21))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4856669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -11. Suppose 2*p = 4*p - x. Suppose -4*c - c = -75. Solve 8*j - p*j = -c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373111 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 3:34 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100201112 (base 3) in base 9?\nAnswer: -70645","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-3\/16)*n))\/(n*(n\/n**(-4))\/n)*(n**(-3))**(-4\/5) assuming n is positive.\nAnswer: n**(-273\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1359526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and (7 + (-12765)\/30)*-2.\nAnswer: 13392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2600)\/(-14 + 10) + -13. What is the highest common divisor of q and 416?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 10:24 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7159 (base 13) to base 7\nAnswer: 63355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102001000 (base 3) in base 15?\nAnswer: 25b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/2*132\/77 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19964275*h**2*s + h**2 + 1355130*h*s + 16*s wrt h.\nAnswer: 39928550*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3010331023 (base 4) to base 9.\nAnswer: 1458557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.16 (b) -0.133 (c) -4 (d) -2\/9 (e) -5 (f) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -1 - 5. Does 13 divide (1 - -3)\/(u\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 - 100. Calculate the highest common divisor of t and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1586988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/9))**30*(c**(-2\/7))**14*(c*c**4*c**(-2))\/(c**(-2\/5)\/c)**(-40) assuming c is positive.\nAnswer: c**(-101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**21*c*c*c**7*c*(c**(-6\/11))**19 assuming c is positive.\nAnswer: c**(227\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -29. Let x = u - 6. Solve g = x*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.128 + -1?\nAnswer: 2.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556430.\nAnswer: 2, 5, 7, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*q - 635 = 229*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 222 = 204 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -4*d + 24, 6*z + 363 = -6*z - 9*z - 5108*d + 5113*d for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 - 11 = 0, 0 = -4*r - 4*c + 20. Solve v = r - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*2*sqrt(1100)*1*3 + -3 + -3)**2*-4.\nAnswer: -28512720 + 86400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/560 and -53\/1750.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(192) + sqrt(3) + -1 + sqrt(27))**2.\nAnswer: 24*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1654)\/3)\/((-58)\/87) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 563 = -135*v + 7995 + 3908 for v.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r + 39*r = -25, 2*r + 9 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4567309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 22.01732um?\nAnswer: 22017.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-1\/9)\/u))\/(u*(u\/(u\/(((u**(-4)\/u)\/u)\/u)))\/u)*(u*u**(2\/5))**(-5) assuming u is positive.\nAnswer: u**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.096 - 919320?\nAnswer: -919320.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1831754 - -4250745. Let n = x - 2418991.2700002. Let l = n + 0.27. Round l to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -305.196 - 0.004. Let h = t - -263. Round h to the nearest integer.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4612636.33519+0.004\nAnswer: -4612636.33119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 79557530?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**5 + f**3 - f**3)*(-85 + 33 - 25)*(-6 + 3 + 2).\nAnswer: -154*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3*j + 75, j - 105 = -2*n + 55. Suppose 18*x = 17*x + n. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(720) + sqrt(720))**2 - (sqrt(5) - sqrt(405)*1).\nAnswer: 104*sqrt(5) + 2884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**9\/60480 + g**6\/144 + 7*g**5\/30 - 11*g**2. Let b(m) be the third derivative of y(m). Does 2 divide b(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86536*s**2 - 11*s**3 - 86536*s**2 - 32*s**3 + 3*s**3.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401392281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 4*a**2 - 2*a + 7. Let p be i(4). Let m be ((-6 - p) + 3)*2 - -3. What is the third biggest value in m, -3\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 859850, 3439392, 7738628, 13757558?\n\"Answer: 859847*w**2 + w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = i - 5*i. Let m be i\/(-35) + 3744\/(-21). Let l = m - -273. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8822320 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07538 + -0.12462. Which is bigger: -90 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4) - (-2)\/(-4). Let n be 4 - 0 - (1 + t). What is the biggest value in n, 0.3, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from zkkkqkkkqzkkkkkqk.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39071 and -90.\nAnswer: 3516390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + 4. Suppose -5*y + 3*b - h = 0, 5*y = y - 2*b - 26. Let x = -12 - y. What is the nearest to 1 in -1, -2, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-2))\/q)\/q)\/(q\/q**3)*q\/q**(-7\/4)*q\/q**6)\/((q**(-3\/7)*q*q**(1\/5))\/((q*q\/(q**(-7)*q))\/(q\/(q\/(q\/q**(-3\/2))*q)))) assuming q is positive.\nAnswer: q**(347\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5944)\/(-11145))\/(-3*4\/(-54)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r + 232. Let u be v(45). Solve -3*y + 3*d + u = y, 4*d = y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74.7 + 70. Let q = z - -30.7. Let g = q + -24. Which is the nearest to -2? (a) g (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.1 (b) 4\/5 (c) 0 (d) -1 (e) -281\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q - 276 = 5*p, -q = 2*p + 72. Let u = q + 131. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -257.1 - -257. Let w = -2 - -1. Which is the closest to j? (a) -0.1 (b) w (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18512 + 10223 + 66949 = -1676*n for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - 0.3. Suppose 0 = -4*f + 2*a + 2, -2*f + 2*a = 4*a + 14. Which is greater: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 993071864 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5 = -7. Let y be (4\/(-3 - n))\/(-4)*10. Suppose u + 0 = 2. Solve y*s - 17 = -2*h - 44, u*s + 5 = 5*h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 4. Let p = -17 + 72. Let f = p - 62. Let o be l(f). Let y(z) = -z + 1. Let b(j) = -6*j + 6. Give o*b(s) + 16*y(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 299 - 17aa9?\nAnswer: -17810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-4 + 9)) + (1 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/6*46\/(-1). Calculate the remainder when 125 is divided by (1*12)\/(-2)*184\/l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5594.\nAnswer: 2, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/26? (a) 39 (b) 9 (c) 2 (d) 10 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2) + sqrt(8)\/sqrt(4)*2)**2.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -51*n. Let m be q(1). Let s be 17\/m*(1 + 266). Let u = 57 - s. What are the prime factors of u?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*c + 28*c = -10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -727774675240.\nAnswer: 727774675240.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5805 - 3629. Let l = b + -43467\/20. Find the common denominator of l and 31\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -162 + 807\/5. Let x = -1\/14 + -3\/7. What is the nearest to x in 2\/5, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/21)*r**(-3\/11)\/r*r**(-2)\/(r*r**16) assuming r is positive.\nAnswer: r**(-4672\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -101, -3 in increasing order.\nAnswer: -101, -3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(28\/84*-15))\/(1\/5*-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4969652*v**4 - 4027202*v.\nAnswer: -59635824*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231872 to the power of 1\/2, to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20430248 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -8*d + 41. Calculate the remainder when 24 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 4*u + 375. Let d be j(0). Let h be (d\/10 - -4) + -5. Which is greater: h or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18917498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2221159 to 2 decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -7. Let w(i) = 0*i**3 + 8 - 18*i**2 + 24*i**2 - i**3. Is w(m) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29295378161 plus -11?\nAnswer: 29295378150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 443712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -0.01, 2, 3\/2, 0.4 in decreasing order.\nAnswer: 27, 2, 3\/2, 0.4, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*k = -1265 + 335 + 594 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1720 (b) 5 (c) 0.09 (d) 2\/7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-7))\/(290\/2030).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9605125 is divided by 9605116.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.999908 - 7. What is y rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from upwrwuw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*g, 0 = c + 2*c + 2*g + 410. What is the common denominator of c\/48 + 2\/2 and -67\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*u + 24 + 193 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 45800 = 2*j. What is j rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -47*b + 510. Determine k(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 5:32 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h - 532 = -4*h. Is h\/(-224) - (-3182)\/16 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 832 and 245466?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from {x: 4, p: 1, j: 3, y: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 70 + -51 - 39?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 2*a - 7 + 10 - 115 as w*a + z and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-84)*(-14)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95.3 + -102. Let k = 7 + m. Let g = -3 + 3.4. What is the second smallest value in k, g, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.4521 and 0.3.\nAnswer: 4.63563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219 + 492*s**2 - 219.\nAnswer: 492*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1659 - -1658. Let r = -31 - -19. What is the closest to h in -2, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1579380 and 615.\nAnswer: 64754580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1015 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvjvvvjhvjjjjvvvjvj. Give prob of picking 1 v and 1 h.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3162.21 - -3081.159375. Let t = m - -81. Let r = t - -0.051. What is r rounded to 5 decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 + -0.03. What is the third smallest value in y, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1111?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 5*i + 9 = 5, -14 = -5*c + i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 1791\nAnswer: -179.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4468862 is divided by 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 205.2 + -302.5. Let z = 97 + q. What is the third biggest value in 10, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 191 + -200 + (0 + 2 - 12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-48)\/(-15) - (-1 - (-6)\/5). Suppose -6*p = -u*p - 390. Suppose 2*v - p - 128 = 0. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 229*n**2 - 12338*n + 84560.\nAnswer: -(n - 151)*(n - 70)*(n - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2636 divided by 45\nAnswer: -2636\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - d - 11. Let g be z(4). Let q(m) = 36*m + m**2 + g + 32*m - 72*m. What is q(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 4640708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110897 + 47125 = 6*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 98 = -2*x + i, 3*x + 2*i - 163 = 0. Let g(k) = k + 18*k - x - 3*k. Calculate the remainder when g(5) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.101?\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31247.\nAnswer: 31247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1573855 is divided by 1337.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3424*b - 144. List the prime factors of s(-1).\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(8)\/(2*sqrt(100) + sqrt(100)))**2.\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h = 2*v - 17*h - 18, -4 = -v + h. Suppose 2 + 4 = 3*u + 3*c, 4*c = -2*u - 4. Are v and u nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 5*h**2 - 17. Let p be x(6). Find the first derivative of -p*w + 55 + 5*w - 2*w**2 - w + 157 + 10*w wrt w.\nAnswer: -4*w - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 2*i + 1. Let d(h) = 5*h - h**2 - h**2 + 2 - 4*h + 3*h. Calculate 4*d(s) - 7*r(s).\nAnswer: -s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 0)\/(2\/14). Suppose 0*p = -p + k. What is the remainder when p is divided by 34\/6 - 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i = -5*o - 495, 2*i - 245 = 5*o. Suppose -17*j = -12*j - 250. What is the greatest common divisor of i and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1214*s - 23440 = -129*s + 7933 - 1827 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 8. Solve 0 = -2*l + 2 + h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -293.9 + -5?\nAnswer: -298.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 675, 709, 743, 777, 811, 845?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.269 - 2.29. Let k = 1.07 + p. Let r = k - -0.221. What is r rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1750 - 1750.000001609. Round r to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -22, 2, 22, 58 in descending order.\nAnswer: 58, 22, 2, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 11. Let u = 18 + t. Which is the biggest value? (a) -0.2 (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373633.\nAnswer: 13, 41, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.90148 nanoseconds in milliseconds?\nAnswer: 0.00008690148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 9) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvw when four letters picked without replacement from vvvvvvvvvvvvwvwvvvvw?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - t - 3)*(-53 + 5 - 45 + 20).\nAnswer: 73*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5214617519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 69 - 65 - 68 - 68 - 68 + 334.\nAnswer: 2*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7445 divided by -5\nAnswer: 1489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -378 divided by -21.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.114 from -821.7.\nAnswer: -821.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 249 - 261. Find the common denominator of (-85)\/34 + (-167)\/o and (-355)\/(-1320) + (-2)\/3.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 54 = -55 + 33. What is the least common multiple of o and 3394?\nAnswer: 13576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 29*a**6\/50 + 259*a**5\/75 - a**4\/5 + 7*a**2 + 22*a + 4. Factor z(w).\nAnswer: 4*w*(w + 3)*(87*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12220 (base 3) to base 10.\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9.22 and 0.21201?\nAnswer: 9.43201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 + -95.946. Let g = -1.946 - q. Which is the nearest to -0.1? (a) 0.5 (b) -2\/11 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 - (-2 - 0 - -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1, 18, 55, 116, 207, 334?\n\"Answer: w**3 + 3*w**2 + 3*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36028557 + 6*j - 18014283 - 18014274.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*1\/10)\/((-3)\/(-15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + y**2 + y + 2. Let r be m(0). Suppose -r*u = -22 - 18. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9529384\/335445 + -7072\/321. Let i = n - -16\/95. Determine b, given that i*b**2 + 24\/11*b + 2\/11 = 0.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**0*w)**13\/(w**(-2)\/w*w)**(25\/4))**(3\/10) assuming w is positive.\nAnswer: w**(231\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -916 and -1037739?\nAnswer: 1036823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4\/(-18) - -8*(-5885)\/(-45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 70472, 70299, 70036, 69683, 69240, 68707?\n\"Answer: -45*n**2 - 38*n + 70555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/2)\/((-33)\/(-11)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17952*v - 131 + 257 - 126.\nAnswer: 17952*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 + 64*r - 66. Let d be u(31). Let i be 13 - (-3 + 1)*d. Put -3, 28, i in decreasing order.\nAnswer: 28, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 30 = 16*m. Suppose -2*b = -2*g - 2*g + 4, m = 5*g - 2*b. Calculate the common denominator of -79\/20 and (-381)\/76 - (-6 - g).\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/234 + 40\/26*4. Factor -68*u - 68*u**2 + 4*u - q*u**3 - 14*u**3 - 16.\nAnswer: -4*(u + 1)*(u + 2)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/26616 and 7\/234.\nAnswer: 1038024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u - 0 + 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20099743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from tjhhhjqhhhhhjqj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 230 = -4*x, 9*l = 4*l - 3*x + 225. Suppose -n + l = -30. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j - 7. Let v be g(5). Suppose -v*k + 6 = -3. Let s be (-1)\/k - 3\/(-9). Solve 1 = -5*n - 3*u + 6, s = 4*u + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -70. Let u(g) = 4*g + 20. Let l be u(z). Suppose -5*i + 368 = -4*k, 2*i + 3*k - 4*k = 146. What is the greatest common factor of l and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxeevbbuvbbu. What is prob of picking 1 x and 1 u?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 + -4 - 0)*(2 + -1). Let o(i) = 4*i**3 - 1. Let f be o(1). Suppose f*j + 12 = 0, -3*x = -0*x - p*j - 65. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5336, -5337, -5338, -5339?\n\"Answer: -v - 5335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41399280 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 y(a) = 7*a - 3. Let h(g) = -13*g + 5. Let b(t) = -3*h(t) - 5*y(t). Let j(p) = 10*p. Calculate b(j(m)).\nAnswer: 40*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.97229813 rounded to 4 dps?\nAnswer: 0.9723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(5\/3))**17 assuming q is positive.\nAnswer: q**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -3.9865\nAnswer: -19.9325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006 + -471.934498?\nAnswer: -471.940498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3555 and 688485.\nAnswer: 2065455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 55*l**5 + 11155*l**4 - 58845*l**3 + 90245*l**2 - 48850*l + 6240 = 0.\nAnswer: -208, 2\/11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 338282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856969791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 275085475*s**3*x**3 + 27*s**2*x**3 - s**2 - 5*s*x - 14*s - 129*x**3 wrt s?\nAnswer: 1650512850*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -5) + 14 - (-7 + 24 - 23)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1167*n + 40 = 1162*n - 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111101 (base 2) in base 10?\nAnswer: -573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 14*g + 36. Let h be t(-4). Let z be h\/(-10) + (-52)\/(-20). Solve -z*j = -27 + 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6105 is divided by 574.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -91211 and -0.433.\nAnswer: 39494.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1902627.\nAnswer: 3, 211403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 + 0*t**3 - 6*t**3)*(-16903 + 33813 - 16910 - 5062*t**2).\nAnswer: 10124*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:19 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1 + sqrt(448) + -2 - sqrt(448)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62655*k + 62655*k + 2*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, g: 1, d: 3, h: 5, n: 1}. Give prob of picking 1 i, 2 h, and 1 n.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**3 - 560*w**2 - 645645*w + 31728240 = 0.\nAnswer: -333, 48, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 15620\/24 + (-10)\/12 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -158\/2049981?\nAnswer: -158\/2049981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j - 8 = 0. Suppose 2*z - 4*u - 16 = 0, -j*z - 2*z - 4 = u. Is 2 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 1. Let m be (-2)\/6 + 192\/9. Let k = -10 + m. Suppose -5*w = -36 + k. Determine u(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ollloooo?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 30452 + 6807 = 0. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 12c21?\nAnswer: -12c1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -174*j + 74*j - 6*j to the form r + i*j and give i.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 30*z**2 + 19*z - 76. Determine a(30).\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -68. What is the remainder when q is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 1 (c) 6\/13 (d) 2.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/681048 and 113\/2724192.\nAnswer: 2724192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k - 4. Let z(x) = 3*x**2 - 4*x - 4. Let w be z(3). Let a = w + -2. Suppose 3*o - a + 0 = 0. Determine t(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.9 (b) -0.2 (c) 0.07 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + (sqrt(448)*1 - sqrt(448)) - ((0 + sqrt(448) - sqrt(448))**2 + -4 + -4 + (sqrt(448) - (1 + sqrt(448) - sqrt(448) - sqrt(448)))))*2*-6.\nAnswer: -144 + 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2115629 = 4*m, -2*m - 5*l + 351078 + 706719 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-10)*(-100)\/(-6). Suppose -15*h = 2*h - 68. Solve -m + 0 = -h*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 + 49*w**2 - 48*w**2 + 3*w + 2*w**3 + 1 + 2*w**3 + 5*w - 6*w in the form x*w + r*w**4 + n*w**3 + d*w**2 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*o - 4, -4*t + 8*o + 3 = 5*o. Suppose 2*z + 2 = t, -2*z = 2*i + 10 - 14. Factor 2\/5*c**2 + 0*c - 2\/5*c**i + 0.\nAnswer: -2*c**2*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*c**3*v**3 - 20710660*b*c**3*v**2 - 11687*b*c*v - 7*b*v**3 + 2*c**2*v**2 - 4*c*v**3 - 2*c wrt c.\nAnswer: -12*b*v**3 - 124263960*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 8480584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-4))\/(332\/40 + -8). Let z(v) be the third derivative of v**4\/24 + 5*v**3\/6 - 4*v**2. What is z(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2289 by -2.\nAnswer: -2289\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -4 (c) 2 (d) 1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -420?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5837*w**2 - 2605 wrt w?\nAnswer: 11674*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(9 + 7*y - 9)*(0*y + 0*y - 3*y + (4 - 3 + 0)*(-3*y - 4*y + 6*y)).\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2734 a factor of 452928406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 42*z**4 + 5 + 40*z**4 + 4*z**3 + z + (5*z**2 + 3*z**2 - 5*z**2)*(3*z**2 - 2*z**2 - 2*z**2).\nAnswer: -5*z**4 + 4*z**3 + z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -507*x + 239*x + 1 + 208*x - 112*x + 241*x.\nAnswer: 69*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/21 - 8944*r\/21 - 153782\/7 = 0. Calculate r.\nAnswer: -51, 4523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.338 less than -0.12?\nAnswer: 0.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -29.19. Let g = -2.19 - m. Let h = -0.014 - -0.854. Which is smaller: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49360312 > -542963436\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 343890 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from rrrrrrarar.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 128108943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 27 = 3. Calculate the remainder when (4\/(-10))\/(1\/(-45)) is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 4)*(0*i**3 + 0*i**3 - 2*i**3) + i**2 + 4*i**3 - i**2 + 3*i**3 - 2*i**3 + i**3 as u*i**2 + m*i**3 + g + o*i and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209732 is divided by 104.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (83\/((-62748)\/(-324)))\/(10*(-2)\/7).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7924 - 7929. What is the fifth smallest value in z, 16, -1\/7, 5\/3, 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 - (-435)\/6. What is the greatest common divisor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3749.9856 rounded to the nearest 100?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.063 + -0.163. Let d = 6 + -5.6. What is the second smallest value in t, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from {w: 1, g: 8, q: 8, e: 1}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 15. Suppose 4*p - 287 = -n*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 45*g**3 + 35150*g**2 + 6244905*g + 6209800 = 0.\nAnswer: -509, -2440\/9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-16) - ((-2)\/(-7) - (-2)\/(-7)). Which is smaller: l or -3\/5305?\nAnswer: -3\/5305","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**4\/3 - 158*h. Let b(r) = 6*r. Let a(p) = -5*p. Let y(j) = -7*a(j) - 6*b(j). What is y(l(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*x = -67, -5*m - 4*x + 54 = -110. Suppose -7*j + 13 = -8*j - 5*d, -2*d - 6 = 0. Solve j*g + m = -6*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 851 is divided by 41?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 - 11 - 2*y**2 + 2*y + 12. Let u be -1*((0 - 1) + 2). Determine x(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78269 - -78470.284. Let k = -201 + u. Round k to two dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o + 1. Let k be j(1). Let t(r) = r**3 + 6*r**2 + 6*r + 5. Let u be t(k). Calculate the highest common divisor of u and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5554 + -2?\nAnswer: 5552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21*(1 - 0)*56\/(-168). Let b(c) = 279*c - 10. Let o(v) = -280*v + 11. Let t(h) = -5*b(h) - 4*o(h). Is t(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/36*(340\/(-306) + 4\/198)?\nAnswer: -40\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 2bf63e?\nAnswer: -2bf63d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjzjzjzljjlljl. What is prob of picking 2 z and 1 l?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*v - 2 = -2*v, 3*b + 9 = 5*v. Is (3\/(-18))\/(b\/(-12)) - -163 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-242)*11*247\/19\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*18\/(-40))\/12?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = t - 2951, -5886 = -2*t - 0*t - 4*w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 20*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5}. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2677535 is divided by 1785.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5724 - -5723.9. Do k and 72.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 103*g**2 - 1505*g + 3550. What is x(3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g + 11*g - 21*g - 5*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u = 0. Let c be 4 + -2 + (4 - u). Let b = c - 1. Solve 7*m = 2*m - b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 11*a**2\/2 + 3100*a + 43. Let j be w(0). Round j to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 50*x - 28248.\nAnswer: 2*(x - 132)*(x + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c - c**2 + 11 - 1 - 5 - 2 - 5. Let s(y) = -y**3 + 8*y**2 - 3*y - 31. Let j be s(7). Calculate p(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 10*n**5 + 34*n**4 - 148*n**3 + 56*n**2 + 48*n = 0.\nAnswer: -6, -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6181*y**2 - 5*y + 4. Is 5 a factor of a(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -13. Let r(u) = -u**2 - 4*u**2 + p*u**2 + 3*u**2. Let j(c) = 3*c. Determine j(r(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*855\/(-1045)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48, 75, 64, -3, -144?\n\"Answer: -3*x**3 - x**2 + 51*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 4. Let y be k(4). Suppose t = 2, t + y*t - 1 = -m. Let r be (8 - m)\/(-3) - -3. Solve r = q + q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + p**2 - 4*p - 3. Let x = -14153 - -14164. Let z(v) = 4*v**3 - 2*v**2 + 11*v + 9. Calculate x*l(n) + 4*z(n).\nAnswer: 5*n**3 + 3*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*f - c - 9223, -4*f - 5*c = -7390. Suppose -4*l - l = -f. Let v be l\/33 + (-2)\/11. What is the greatest common factor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 + 3576*w + 3 + w**2 - 12*w**3 - 3575*w)*(-3*w + 2*w + 2*w).\nAnswer: -12*w**4 + 6*w**3 + w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.28157 years in millennia?\nAnswer: 0.08428157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.12596, 4, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -2. Which is the biggest value? (a) -3 (b) l (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6224 - -111979\/18. Let d be (-584)\/6*(-90)\/(-6). Calculate the common denominator of c and (-1)\/3 - d\/168.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -234 + -55?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 + 273*s - 6948. Give l(-111).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 384654\/54 - (0 - 4\/(-18)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2. Let d(w) be the second derivative of w**6\/720 - w**4\/6 + w. Let r(q) be the third derivative of d(q). Determine r(y(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 19 = 5*i, -5*j - i = -0*i - 25. Let w be j*-2*6\/(-28). Let d = 536 - 533. Which is bigger: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 0 + 1 + 2*n**3 - n - n**2 + 1. What is the remainder when a(2) is divided by (-1)\/(2\/(-14) - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*x = 3*b - 10, 3*b = 3*x + 12. Let n = 245 + -244. Let w(g) = -3*g**3 - 2*g**2 + g. Let a be w(1). Put a, n, x in descending order.\nAnswer: n, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**3\/2 - 8827*f**2\/2 - 10578*f = 0. What is f?\nAnswer: -1763, -12\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 81731292 * 0.5\nAnswer: 40865646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjww when four letters picked without replacement from jwbbwbwbwwj?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-22 + 26 + 1) - 7 - -87\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2746032 + 5402.\nAnswer: 2751434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/91 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - w = -11, 3*a - 3*w = -w - 14. Let j(o) = 2*o + 33. Calculate j(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**6\/660 + 7*g**5\/660 - g**4\/66 + 79*g**3\/6 + g**2 - 7*g + 13. Let q(a) be the second derivative of d(a). Factor q(v).\nAnswer: -2*(v - 2)*(3*v - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2853220 + -2853198.3836406. Let n = v - -1.3836046. Let o = -23 + n. What is o rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38113128 by 4.\nAnswer: -9528282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-4) - (-16)\/(448\/175). Let z(l) = 1. Let p(n) = -12. Let w(h) = p(h) + 9*z(h). Let u(o) = o + 6. What is v*w(a) + 2*u(a)?\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5239 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209, -240, -535, -1286, -2685, -4924, -8195, -12690?\nAnswer: -18601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (9 - -19) + (22 - -1) - -5\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 10:26 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -120, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.035, -5, -3\/2, 5\/7 in ascending order.\nAnswer: -5, -3\/2, 0.035, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*s + 122 = x, -2*x = 4*s + 256. Let u = 223 + x. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 14 + 30. Let a = t + 34. Let q be 4*-3*(0 - 1). What is the greatest common divisor of a and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27877\/69 - -404. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4542722 and 5254?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42\/(-77)*(-1)\/3. Let w = -0.05 + 0.1. Let v = w + 0.05. What is the closest to 0.1 in 3\/8, g, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907455108.\nAnswer: 2, 3, 7, 1543291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 - -270. Let k = l + -81. Suppose -10 = r - 6*r, 3*f = 5*r + k. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*g - 2 = 0, -3*x - 4*g + 11 = -3. Solve -u + 5*k + 13 = -8, 0 = u - x*k - 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-209789)\/(-3))\/(111\/333) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4. Suppose l = 2*r + 2*r - 12. Let u(j) = 5*j - 13 + 3 + r - 2*j. Calculate u(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46912*h**3 + 50964*h**3 + 231369*h**3.\nAnswer: 235421*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 6*x**2 - 300*x + 1161. Give b(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 73.17471 millennia?\nAnswer: 731.7471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15889486 to the power of 1\/2, to the nearest integer?\nAnswer: 3986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 186782*m + 22 - 186774*m - 47.\nAnswer: 8*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = 4*g - 2*g, -2*g = -u - 7. Suppose 2*p = -g*p. Suppose p = t - 19 + 3. Solve j + 3*j = t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117059771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32204 + 44551. Is 74 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 8221 and 8223 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(36)*1*-4 + sqrt(36))\/(sqrt(9) - sqrt(27)\/sqrt(3)*-4))\/(sqrt(8)\/sqrt(4)*6 - sqrt(2)*-1*1).\nAnswer: -3*sqrt(2)\/35 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*w - 80. Let g = w - -44. Calculate the least common multiple of g and ((-6)\/(-4))\/((-6)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 0*t**2 + 5*t**2 - 2*t**2 - 4*t**2. Let h(d) = -d + 2*d + 4*d. Determine h(s(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2710, 3413, 4116, 4819, 5522?\nAnswer: 6225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 12:20 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74140*c**2 + 231 + 230 + 233 - 694.\nAnswer: -74140*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 790, 1581, 2372?\nAnswer: 3163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101 (base 2) to base 3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -266.7 - 46.3. Let n = -305.45 - m. Let q = -8 + n. Round q to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from eeetnelkeutkt?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8 - 147*v + 155*v + 15 - 4.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -680 - 749 = -s - 1517 for s.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(432))\/(sqrt(9) + sqrt(99)\/sqrt(396)))**2.\nAnswer: 6912\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 + 4*w - 2. Let m be p(-5). Let k be 69\/(-230) + 46\/20. Suppose -215 = -k*i - m. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126 + -66. Which is bigger: m or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 65 = 5*j, 0 = 3*r - r + 3*j + 102. What are the prime factors of (-2)\/(r\/(-51) - 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 13*l - 775. Give y(59).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.1 - -0.5. Which is the smallest value? (a) 0.4 (b) h (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*(f*f\/(f\/f**(-3\/4)))\/f*f*f)**(-39)\/(f**12*f**9) assuming f is positive.\nAnswer: f**(-591\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 148 = 2*d + n, 3*d = -3*n - 219. Let v be ((-2)\/(-6))\/((-6)\/d). Let g(h) = -h**3 + 5*h**2 - 2*h - 3. Calculate g(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 15*d**2 - 4*d - 10. Let j(v) = -7*v**2 + 2*v + 5. Let q(a) = -13*j(a) - 6*n(a). Give q(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/270 and 56\/27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7))**(-49)*(b\/b**(-5\/2)*b)\/(b*b*b*(((b**(-2\/39)\/b)\/b*b)\/b)\/b*b*b) assuming b is positive.\nAnswer: b**(-893\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 - 2*j**4 + 0*j**4)*(-1 + 1 - 2) - 5*j**4 + 2*j**4 + j**4.\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, s: 8, h: 1, u: 2, q: 4, l: 2}. Give prob of sequence sq.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 25*k**2\/2 - 7*k - 25. Differentiate g(f) wrt f.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 10:06 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2002 - 3331. Let o = d - -1328.99999173. Round o to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -510a2 (base 15) to base 5\nAnswer: -31203102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-25543)\/2492 + 0\/(-2) - -10\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-20)\/235) + (-2)\/8. Is (-2)\/8 - (-1 + 17007\/v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -0.5 (b) -0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-105258)\/131535 - (-24)\/30. Let u = z - 112047\/5846. Find the common denominator of 109\/26 and u.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 473550470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 15. Let y be p(11). Let s = 60 - y. List the prime factors of s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.47 and 19981.\nAnswer: 19981.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 a, and 1 f when three letters picked without replacement from {b: 1, s: 4, f: 2, a: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 23*l = -26*l - 10, -2*b - l = -6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3996*k + 20. Suppose 3*i + 4*v = -2, 5*v = -0*i - 5*i. Suppose -5*r + 29 = 2*b, b + 2 = i*b. Let m be h(r). Round m to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/8)\/((-1771)\/10626))\/(2*(-1)\/(-12)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 3*f - 1. Suppose 0 = -4*r + 32 - 8. Is p(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 4:31 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j = -9. Let q be (-2)\/j + (-15)\/(-27). Let v = -4.4 - -4. Which is the closest to q? (a) 5 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1589, 3405, 5479, 7817, 10425, 13309, 16475, 19929?\nAnswer: 23677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3296?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -110, -269, -428?\n\"Answer: -159*s + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 692 in -46\/5, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2267*z + 134249 = 1306*z - 198040 for z.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*(j*j**(-11))\/j))*j)\/(j*j**(-33\/5)) assuming j is positive.\nAnswer: j**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3751727 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3047.983264 + -3048. Round d to 4 decimal places.\nAnswer: -0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 94, 168, 322, 562, 894, 1324, 1858, 2502?\n\"Answer: p**3 + 34*p**2 - 35*p + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2 + 22. Let q(f) = 2*f**2 + 11. Give -3*l(r) + 7*q(r).\nAnswer: 2*r**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111100001000 (base 2) to base 6.\nAnswer: -25452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 868*b. Let q(g) = -5988*g. What is q(d(k))?\nAnswer: -5197584*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htmhbmmmt. What is prob of picking 2 t and 2 h?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57698 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32, -69, -168, -359, -672?\n\"Answer: -5*v**3 - v**2 + v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - (21 - 33)) + -3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -45. Let m = x - 6. What is the remainder when m is divided by 0 + (6\/(-2))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1751 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1814810 (base 9) to base 13\nAnswer: 2966a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1480\/1184*(-16)\/35*1\/(-2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 5, r: 1, x: 2, i: 1}. Give prob of sequence xx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**3\/5 - 918*m**2 + 229712*m\/5 = 0?\nAnswer: -2344, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in 0.09, -5, 15, 0.3, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 21*f**2 - 21*f - 37. Give k(-20).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wchtttwbtcytw. What is prob of picking 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -11*w - 18. Let z(c) be the second derivative of 3*c - 6*c**2 - 6 - 7\/6*c**3. Calculate 5*q(u) - 8*z(u).\nAnswer: u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*z**4 + 88*z**4 + 83*z**4)*(0*z + 7*z - 4*z) + (0 + 2 - 4)*(-z**5 + 2*z**2 - 2*z**2).\nAnswer: 446*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243 + 331 + 6*c**3 + 7*c**3 - 574.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2799.309ml to litres.\nAnswer: 2.799309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3171426026 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.77 + -0.23. Let y = d + -7. Let k = y + 18. Which is greater: k or 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g - 13. Let p(x) = -x**3 + 5*x**2 + 3*x + 8. Let i be p(6). What are the prime factors of w(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**4 + l**4 - 4*l**4)*(6*l - 4*l - 4*l) + (3*l - 3*l - l)*(3*l**4 - 3*l**4 + 3*l**4).\nAnswer: -l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-82)\/164 + 2\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 4 + (28 - 11 + 2)*(-3 + 3 - 1))*(-9 + 9 + 26*p**2) to the form f*p + v*p**2 + u and give v.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c**2 - 1558*c - 1036.\nAnswer: -2*(c + 259)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*g = 0, 2*g - 10 = -0. Suppose 5 = 5*l - 4*l. Find the third derivative of -4*b**5 - 3*b**l + 2*b**2 + 2*b**y wrt b.\nAnswer: -300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 15*d**3 - d**2 + 8*d - 7. Let u(z) = -30*z**3 + 2*z**2 - 17*z + 15. Let g(x) = 13*a(x) + 6*u(x). What is the units digit of g(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**3\/9 - 5*p**2\/3 - 68*p\/9 - 32\/3 = 0.\nAnswer: -8, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 258015 - 147494. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (18 - (0 + 2)). Calculate the highest common factor of 108 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/126528 and -131\/48?\nAnswer: 126528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -2\/13, -1, -25286, -2 in ascending order.\nAnswer: -25286, -2, -1, -2\/13, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 299 and 103781612.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -5, -2 = -19*r + 20*r + 5*n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -6*f**2 + 14*f = 0.\nAnswer: 0, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 0.027534?\nAnswer: -3.972466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**5\/j*j)*j\/(j**(-14)\/j))\/(j**(-11)*j**(-9)) assuming j is positive.\nAnswer: j**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1481, 2028, 2943, 4226?\n\"Answer: 184*t**2 - 5*t + 1302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**5\/10 - 5*j**4\/4 - j**3 + 11*j**2\/2 + j + 8. Let z be y(-7). Solve 16 + 1 = 5*v + 2*c, 5*v - 9 = -z*c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**3\/8 + 2*l**2 - 23*l\/8 + 3\/4 = 0. Calculate l.\nAnswer: 1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - q = 27, 0*q + 3*q - 39 = -p. Let x = p - 45. Let d be 8\/(-20)*x\/(-4)*-4. Solve d*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*p + 33. Find the second derivative of 836*j - 18*j**2 - p*j**2 - 826*j wrt j.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/38)\/(322\/(-4)*96\/(-672)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 287820 = 51*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1056 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4456 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c3 + -1d0?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405 - 4935 = -3*o + 2*l, -o + 1775 = l. Suppose -6*j + o + 1216 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxxl when four letters picked without replacement from {l: 4, x: 2, m: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2843 + -2735. Which is smaller: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(847) + sqrt(847)*2)*-6 + 5)*6 + (-1*(-3 + sqrt(847)) + sqrt(847) - (-2 + sqrt(847))*6))**2.\nAnswer: -112860*sqrt(7) + 11009637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03436 - 0.0381552. Round o to 4 dps.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 4:32 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82584 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/744 and -55\/130882.\nAnswer: 1570584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -707.77 + -0.2.\nAnswer: -707.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -450155, 3 in increasing order.\nAnswer: -450155, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6896?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 559\/3 + -3653\/21. Let d = 38\/3 - o. Let s = 3 + 1. Which is the nearest to d? (a) s (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1 + 0 + j + 0. Let s(t) be the first derivative of -t**2 + 2*t - 3. Let q(f) = -3*d(f) - 2*s(f). Let p(g) = -4*g + 5. What is 4*p(n) + 18*q(n)?\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 32.946. Let m = -0.0540175 + d. Round m to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 18*i**2 + 3*i - 52. Let p be l(18). Suppose -10*m = -p*m. Solve -2*s - h + 3*h - 14 = m, 2*h = s + 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 10 - 22. Let s(z) = -2*z**3 + z**2 + 3*z - 3. Let w be s(2). Let v be w\/6*4*-2. Calculate the greatest common factor of v and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 104. Let u be p(23). Calculate the lowest common multiple of (-31)\/(-3) + 1\/(-3) and (43 - 1)*50\/u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25930761940 rounded to the nearest 1000000?\nAnswer: 25931000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 69, 77, 99, 141, 209, 309?\n\"Answer: f**3 + f**2 - 2*f + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyr when three letters picked without replacement from {y: 1, v: 2, r: 3, u: 2, h: 6}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 - 22112?\nAnswer: -21322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 - 2)*(-2*p**2 + 2*p**2 + 2*p**2) as o + y*p + k*p**2 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xuvx when four letters picked without replacement from {v: 8, u: 1, x: 6}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 168176 - -5\nAnswer: 168181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/21735 and 92\/2079?\nAnswer: 239085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -2*g**3\/39 + 2*g**2 - 50*g\/13 - 44. Let s(z) = 0. What is z?\nAnswer: 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvgg. Give prob of picking 2 v and 1 g.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*d - 8. Suppose -2*l + f + 24 = 0, -2*l + 48 = d*l - 5*f. Calculate the remainder when (1 - (-78)\/(-10))*-5 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f + 3*f + 2 + 4*f)*(f + 4*f + 0*f).\nAnswer: -10*f**2 + 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b + 10*b - 34 + 91 - 147 + 93.\nAnswer: 4*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4834.0014471 + -4834. What is u rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*z + 16 - 62 + 98*z - 23 + 115*z.\nAnswer: 312*z - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 8 = 17. Solve -11 = -d*y + 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -8472 = -8475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -15*d + 0*d**3 + 3\/2*d**2 - 1\/2*d**5 + 0 + 0*d**4. Find the first derivative of f(l) wrt l.\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + q + 331 = 49, 2*p - 2*q - 288 = 0. Solve -5*c - 168 = -p for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 + 13*x**2 - 13*x - 13. Let s(q) be the second derivative of q**5\/20 - q**4\/2 + q**3 + 3*q**2 - 2*q + 362. Give 6*j(v) + 13*s(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -17 (c) 365 (d) -1\/8 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11915 is divided by 155?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 times -0.6?\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -5. Suppose 2*t + 3*t = 5. Let s = 4976 + -4976. Sort x, s, t in decreasing order.\nAnswer: x, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-60))\/(6\/5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 27. Let n = -0.32 + 0.02. Let q = -0.2 + 0. What is the nearest to -1 in n, q, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256\/16 - 60198\/2607.\nAnswer: -78\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 + -28. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a + 6. Suppose -6 = 4*t - 30. What is h(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -286.7751 to the nearest integer.\nAnswer: -287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 0.3, 13\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -12*x**3 + 1156*x**2. Let w(q) = -43*q**3 + 3467*q**2 - 1. Determine -7*d(m) + 2*w(m).\nAnswer: -2*m**3 - 1158*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*j + 4783 = -142*j - 2670 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and -0.0339.\nAnswer: 0.7119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 2213?\nAnswer: -2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4 = 10. Let n(y) = -y - 1. Let j be n(w). Let c(h) = 2*h**3 + 2*h**2 - 3*h + 1. Let g(a) = 2*a**3 + 2*a**2 - 4*a + 1. What is j*g(p) + 4*c(p)?\nAnswer: 2*p**3 + 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 + -96. Let i = g + 53. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01501 + 0.08499. Let u = 0.73 + -4.83. Let k = -0.1 - u. Which is the nearest to 0.1? (a) o (b) k (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21.04548 months?\nAnswer: 1.75379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**3 - 4 - 5*f**3 - 3 - f**2 + 0*f**3 to g*f**3 + a + b*f + c*f**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by -6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b. Let z(f) be the second derivative of -f**4\/6 - 81*f. Determine n(z(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-45) - (-68)\/18. Suppose -3*v = -x*v + 4. Solve 5*o = o - v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 3*f - 43 - 26, -f = -r + 13. What is the remainder when 67 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -152811 and -0.11.\nAnswer: -152811.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from nqqzzqnqnzqqqzn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 8\/(-10) - (-76)\/(-190).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4\/3 + 149*k**3\/3 - 2894*k**2\/3 - 596*k\/3 + 3864 = 0.\nAnswer: -2, 2, 23, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022221 - -10102?\nAnswer: 1110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/(-80)*90\/(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*s - 34*s + 56*s.\nAnswer: -37*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + s**4 + (19*s + 25 - 25)*(-5*s**2 + 5*s**2 - 3*s**3))*(-58*s + 46*s + 31*s).\nAnswer: -1064*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*b + 2*b**3 - 62*b - 54*b.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -15 - 12. Suppose 3*x - y - 1 = 0, c*y = 5*x + 4*y + 15. Solve 0 = x*l - 3*a - 0*a + 7, 4*l = 4*a - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133490048129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 8:44 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/8*2\/6*116. Let i be -2 + 1\/(-2 - 1)*n. Suppose 5*b = k - i, -5*b = -4*k + 95 + 58. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 12*t - 115. Let w(h) = 26*h - 229. Let d(z) = 9*p(z) - 4*w(z). Let l be d(24). Which is greater: -18 or l?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 18365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -818, -2708, -6396, -12482?\nAnswer: -21566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7 != -12152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-6\/5))**(-45)\/(n**(-2\/17)*((n*n**(4\/15))\/n)\/n) assuming n is positive.\nAnswer: n**(2512\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130*r**3*v**5 - 21*r**3*v + 2*r**2*v**5 + r**2*v wrt v.\nAnswer: -2600*r**3*v**3 + 40*r**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2684 + 9683*a**4 - 20188*a**4 - 255 wrt a?\nAnswer: -42020*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(7)*2 + (sqrt(196)\/sqrt(4))\/sqrt(7))**2.\nAnswer: -12*sqrt(7) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**3 + 2*c**2 + c - 1. Let y(m) = 5*m**3 + 2*m**2 - 1. Let t(z) = -4*a(z) + 5*y(z). Let l be t(-3). Solve -g - 13 = -2*r, -1 - 6 = -l*r - g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4702 - -4702.248. What is the second smallest value in -4, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.088 (b) -0.09 (c) 0 (d) 112 (e) -4 (f) 5 (g) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 2*n**2 + 2*n + 3. Let t be w(-3). Let j = -3 + t. Differentiate 3*r + r**2 - 2 - j*r with respect to r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 0 - 29\/12*m**4 + 56\/3*m**3 + 1\/12*m**5 - 49\/3*m**2 + 0*m = 0.\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 6*m**2 + 4*m + 4. Let f(s) = 4*s - 1. Let z be f(4). Suppose z*x = 13*x - 40. Let i be x\/6*12\/8. Calculate n(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6405311 (base 7) to base 14\nAnswer: 162608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 291893 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/3339 and -121\/80136?\nAnswer: 80136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 482*c*l**2 - 1206*c*l - 1606*c - 34792*l**2 wrt l.\nAnswer: 964*c - 69584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -77*b**4\/4 + 13*b**3\/3 - 7*b**2 - 54*b + 4592. Find the second derivative of g(x) wrt x.\nAnswer: -462*x + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*o + 1 = -87*o, 0 = -0*l - 4*l + 3*l - 4*o - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -141, -2 in decreasing order.\nAnswer: 4, -1, -2, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522767.\nAnswer: 7, 17, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399473504.\nAnswer: 2, 449, 27803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -433\/270 + 46\/27. Let s(g) be the third derivative of 1\/12*g**6 + 0*g + 0*g**4 + 5*g**2 + a*g**5 + 0*g**3 + 0. Find the third derivative of s(o) wrt o.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, -1\/5, -29301\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27803, 27792, 27765, 27716, 27639, 27528, 27377, 27180?\nAnswer: 26931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, u: 2, m: 4}. What is prob of sequence uuz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -26, -0.06?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/230 and -169\/110220.\nAnswer: 2535060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - -0.1. Let h = 3073 - 6143\/2. Which is the closest to 2\/5? (a) h (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145133323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*v + 19 - 4 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-5 - -1) - (-2 + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 17. Let m(l) = -4*l**2 - 5*l - 1 + 0*l**2 + l**3 - 9*l**2 + 17*l**2 + 0*l**2. Give m(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1338*a**2 - 4*a - 4. Let w be p(4). Let x be w\/(-4272)*(-4)\/6*3. Let m = x + -12\/89. Calculate the common denominator of m and 11\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 11 = -4*h. Suppose 3*w + 0*n - 88 = -h*n, 0 = 4*n - 8. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 9 + -22 + 25.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l - 19 + 25 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 21.94 (c) 2 (d) -5 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060.6 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140758026 to the nearest integer?\nAnswer: 11864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 4*m**2 - 2*m**2)*(5 - 23*m**3 + 35*m**3 - m**3).\nAnswer: 11*m**5 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-30)*(-11)\/((-110)\/(-40))*(-2100)\/(-112)\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 223.521578 and -4.\nAnswer: -894.086312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.57? (a) -0.3 (b) -1\/6 (c) -2\/13 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3*1\/(-84)). Suppose 3*v = 4*v - 3*m - g, 58 = 3*v + 4*m. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/7*(-5)\/10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6079)\/565347 - (-479)\/1302\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3852.863 and 0.5.\nAnswer: -1926.4315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 535.147175 to the nearest 10.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7385 less than -0.5?\nAnswer: 7384.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 9 = -2*p - 47, -5*i - 5*p = -95. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3959?\nAnswer: 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 32*i - 441. Let m be s(14). Solve -5*b + 15 = -2*a, -m*a + 4*b + 6 = -9*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9624 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(396) + sqrt(396))*3 + 2)**2.\nAnswer: 360*sqrt(11) + 89104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 90 = -0*q. Let s be (q\/(-4))\/1*6. Let o = s + 50. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 3 (b) 2 (c) 0.3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3 = -3*k + 2*k, 29*q + 16*q + 3*q + 93 = -3*k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -7. Let q = 4 + k. Which is the smallest value? (a) q (b) 3 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 4*n - 28. Is 16 a factor of j(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**32\/d**(-40)*d**47\/d*d*d**(-1\/12) assuming d is positive.\nAnswer: d**(1427\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1.7. Let t = w + 0.3. Let d = -12548 - -12551. Put d, -0.2, t in ascending order.\nAnswer: -0.2, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**6\/15 - 3*l**5\/10 + 19*l**4\/2 + 1067*l**3\/6 + 5110*l. What is the second derivative of n(x) wrt x?\nAnswer: 24*x**2 - 36*x + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 - r - 7. Let q = -2 + 8. Suppose 425 = 2*k + 415. Let f(m) = 4*m**2 + m + 8. Determine k*f(o) + q*a(o).\nAnswer: 2*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**4\/12 - 19*w**3\/6 - 109*w**2\/2 + 9*w - 4. Let i(n) = n + 11. Calculate the remainder when s(-5) is divided by i(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1074924 (base 10) to base 16\nAnswer: -1066ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 + 75. Suppose -5*l - 1 = -2*v - 2, l + 2*v = -7. Let o = 7 + l. Solve 5*y - o*q = -2*q + p, -3*y - 2*q = -15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -284, -569, -854?\n\"Answer: -285*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o**2 - 1)*(44*o**3 - 66*o**3 - 78*o**3).\nAnswer: -200*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32945773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -27 in increasing order.\nAnswer: -27, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88982*b**3 + 32630*b**3 + 1705*b**3.\nAnswer: 123317*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 12 = 0, -5*h + 1898*w - 1907*w = -113 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h - 3. Let t(d) = 15 - 43 + 17 + 12. Let s = 2 + -3. Let f(y) = -3*y**3 - 1. Let k be f(s). What is k*t(n) + a(n)?\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 267*q**3 + 12*q**2 - 12*q**2 - 34*q + 60*q - 29*q to c*q**3 + o*q**2 + f*q + u and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -152332034 - -155?\nAnswer: -152331435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + -1. Let k = -536 + 616.8. Let q = k - 81. Put q, z, 1.5 in decreasing order.\nAnswer: 1.5, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 + 21\/34. Let z be ((-1)\/(-22) - 0)*(-16 + 20). What is the closest to 1 in z, d, 0.06?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2422 - 2418.209. Let p = z + 0.209. What is the smallest value in p, 0.1, 47, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 12 - 43 = 5*k, -14 = -q - 2*k. Let t be (2\/q)\/(10\/40). Determine x so that -t*x**3 + 0 - 1\/3*x**5 - x**4 + 0*x**2 + 0*x = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 332634?\nAnswer: -332642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2271713 (base 8) in base 3?\nAnswer: 1011110202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35363.563 rounded to the nearest 100?\nAnswer: -35400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 10571947 to the nearest 100000.\nAnswer: 10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 l when three letters picked without replacement from lctlcllccltlltlcst?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*(-112)\/(-5)*1. Suppose 5*d - 65 = 2*k + 9, 2*d - 38 = -2*k. Calculate the highest common factor of a and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x - 16188 = -21086 - 22448. What is the remainder when x is divided by 89?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4160, -8449, -12738, -17027, -21316, -25605?\n\"Answer: -4289*t + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - o. Let y be u(2). Let v**4 - 3*v**4 + 4*v**4 - y*v**2 - 4*v = 0. Calculate v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**2 + 3. Let c(r) = 36*r**2 + 14. Let u(w) = 6*c(w) - 28*s(w). What are the prime factors of u(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) 431 (b) -1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -30. Find the third derivative of -y*i**2 - 6*i**5 + 0*i**5 - 5*i**2 - 2*i**2 wrt i.\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -275 + 331. Suppose -45*w + m*w - 44 = 0. Let s(a) = -2*a - 6. What is the least common multiple of w and s(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 95*v**3 + v**2 + 13*v - 12. What is the remainder when r(1) is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3)*(15\/(-45)*-59 + -9).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.5 + -20.46. Let p = -6 - v. Let b = p - -0.039975. Round b to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -8.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 9. Let a be n(-5). Which is greater: -12 or a?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -16*k - 3. Let b be c(3). Let w = -35 - b. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931180651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roe when three letters picked without replacement from ooojoerory?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - o. Let w(j) = -2*j**2 - 7*j. Let n(p) = 2*w(p) - 6*x(p). Let f(l) = l**2 - l. Determine 4*f(t) - n(t).\nAnswer: 2*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 170, 410, 764, 1238?\nAnswer: 1838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**5 - 384*i**4 + 8*i**3 + 768*i**2 - 4*i - 384 = 0?\nAnswer: -96, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 + 5*z - 13. Let t be c(-13). Let l = t - 3375\/8. What is the common denominator of (-188)\/(-24)*3*-1 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-4)*z*z)\/z*((z\/(z**(-1)\/z))\/z)\/z)**(-17) assuming z is positive.\nAnswer: z**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1010 divided by -202.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 17*s - 486. Suppose -3*k + s = l, -k - 1 = -6. Calculate the greatest common divisor of l and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263 divided by 1.\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13796230 rounded to the nearest ten thousand?\nAnswer: 13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7494.331 + -7494. What is the second biggest value in -1\/3, a, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -213539769*r**3 + 9395603706*r**2 + 6429695*r + 1100.\nAnswer: -(r - 44)*(14613*r + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*w = 4*h + 64, w + 44 = -3*h. Let v(p) = -p**3 + 9*p**2 - 11*p + 6. Let y be v(7). Let i = h + y. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788217548 a multiple of 4452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 3:02 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -82, 1\/6, 1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4834 + -780. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-596)\/(-1490)*20\/18. Let b(m) be the second derivative of 0 - 1\/30*m**5 - j*m**4 - 7\/3*m**3 - 6*m**2 + 37*m. Factor b(t).\nAnswer: -2*(t + 2)*(t + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 10*r**2 + 6*r - 11. Let z be q(5). Let m be 10\/(-4)*z\/(-60). Solve 4*w - 14 = -2*o, 3*w - m = -o + 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214517.331 minutes in weeks?\nAnswer: 21.28148125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -9 + (7 - -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqvvvvvqvqvvvvvvvvvv?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 3*m = 2*a - 6, 21*a = 22*a - m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y**2 - 60*y + 4\/3*y**3 + 0 = 0 for y.\nAnswer: -3, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9526b9a + -1?\nAnswer: -9526b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23900 >= -3\/265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 34.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 12*m**2 + 121*m**2 - 2*m**2 + 4*m**2 - m**2 + (3*m + m - 6*m)*(-1 + 1 + 2*m) - 1 + 1 + 2*m**2 to the form b*m + a + z*m**2 and give z.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -21 - -3) + 10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 81, 159, 289, 483?\nAnswer: 753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57682, -57114, -56550, -55990?\nAnswer: -55434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 6:50 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - 0. Let r(k) = 10 - k**2 + 8 - 16 - 2*k. Let o be r(0). What is the smallest value in i, o, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1009215*p**3 + 1010790*p**3 - 2020025*p**3.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5983650944 - -3401\nAnswer: 5983654345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 16 = b, 30 = 5*b - 2*m + 58 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 19*c - 31. Let i be a(-18). Let s = i - 6. Find the common denominator of 1 + 158\/s - (-6)\/(-15) and -7\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2. Suppose 0 = 2*t - 22 - 12. Let d(q) = -17 + 2*q**2 + t. Determine g(d(o)).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, w: 4, x: 3, j: 4}. Give prob of picking 3 n and 1 x.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64.84 - -4.24. Let o = 61 + m. Put 0, 3, o, -16 in decreasing order.\nAnswer: 3, o, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(8\/(-1))*4)\/22\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4686 by 11.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1)*g))**(4\/29) assuming g is positive.\nAnswer: g**(4\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = j - 5*j. Let d be j\/4 - 2*-1. Suppose d = -4*p - 3*i - 7, 5*i + 2 = -5*p - 13. What is the least common multiple of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -571 - -670. Calculate the remainder when h is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 1:18 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1440412 is divided by 2910.\nAnswer: 2872","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 qccccccqqqcqq.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**4 - 4*t**3 + t - 4. Let a(z) = -4*z**4 + 16*z**3 + z**2 - 3*z + 16. Let x(k) = -6*a(k) - 26*l(k). Find i such that x(i) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, t: 3, y: 4, d: 2, u: 2}. Give prob of picking 2 t and 2 d.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 15*w - 17187. What are the prime factors of w?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 6*r - 1. Let y(h) = -6*h - 23. Let a be y(-11). Suppose 2*d - a = 1. Suppose 0 = -0*c + 3*c + 3*f - 6, -5*c + f + d = 0. Determine u(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74685, 298864, 672547, 1195734, 1868425?\nAnswer: 2690620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3071 + 231*f + 3048 - 2208 - 254*f.\nAnswer: -23*f + 3911","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7149 and 5.\nAnswer: 35745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**5 - 672*n**4 - 31950*n**3 - 61896*n**2 - 30615*n = 0. What is n?\nAnswer: -157, -65, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 104940\nAnswer: -2098.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, y: 10, e: 3, d: 2, m: 2}. What is prob of picking 1 y and 1 d?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 3424006\nAnswer: 1\/3424006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b + 4*k + 12 = 0, -6 = 2*k. Suppose -33 = -i + 4*h + h, b = 3*i - 4*h - 55. Suppose -l + i = -10. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38059.17 nanograms to tonnes.\nAnswer: 0.00000000003805917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*d*l*m**2 + 41736*d*l*m + 7*l*m + 65596*m**2 wrt m?\nAnswer: -14*d*l + 131192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 14 = -3*i - 3, -8 = -4*s. What is the common denominator of 40\/24*(-32)\/5 + i and 2 + ((-171)\/(-7))\/(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/625*20*(-55)\/2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -127077.4?\nAnswer: -127077.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -529*y - 524. What is g(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9854376 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 + 8 + -3 + 5 - (17 - (47 - 35))?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 33406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5600 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -30*l**2 + 6*l - 2 + 24*l**2 - l**3 - 8. Calculate i(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4485 - 2966. Is 31 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163912951 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 6 = -24. Let p = n - -103. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/55 + 26\/22. Let q = k - -1. Let t be 26\/(-42) - q\/(-6). Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 248\/(-40)) + (-22)\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085891 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 4*x - 8 = 0, 0 = -w - 27*x + 35*x + 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 34d?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 4:58 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 3471.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by -9 - -3 - -11 - -14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-3\/10)\/n*n))\/(n**(2\/99)*n*n))\/(n**(-3\/29)\/(n*n*n**(-1\/34)*n)))**(2\/21) assuming n is positive.\nAnswer: n**(1148836\/5124735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8) + (21 - 21).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/3 + 10178*c - 1218160\/3.\nAnswer: -2*(c - 15227)*(c - 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2)*(-4 - 3*b + 4) + (-1 + 3 + 0)*(7*b + 7*b - 7*b).\nAnswer: 23*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 141*z**2 + 32008*z + 232. What is t(-227)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -122346 divided by 6?\nAnswer: -20391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 17*t. Let h(g) = 4*g**2. Determine h(i(a)).\nAnswer: 1156*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 48. Suppose 4*g = -2*q + q + 20, -g - 5*q - n = 0. What are the prime factors of 1 + 7 + g\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*b + 5*q, 21 = 4*b + q + 2. Solve -5*z + 0*z - b*s = 20, 5*z + 18 = -3*s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/4, -8, 88368\/11, -5, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541360009.\nAnswer: 15607, 34687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35696 - 321268\/9. Which is the third smallest value? (a) 879 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 24*x - 4. Let s(h) = 13*h - 2. Determine -6*b(a) + 11*s(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11140401 - -5405?\nAnswer: -11130552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 8*c**2 - 6*c - 4. Let o(n) = n**3 - 7*n**2 - 6*n - 3. Let b(w) = -5*l(w) + 6*o(w). What is b(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 32, 53, 74, 95, 116?\n\"Answer: 21*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 55. Let u(n) = 2517 - 2517 + 10*n**p. Let h(w) = w**2. Give u(h(s)).\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/14 + 5730\/(-6685).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416*g**2 + 252*g**2 - 1518*g**2 + 45*g**2.\nAnswer: -805*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {g: 2, i: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.2184 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*k*u**4 - 13*k*u + k + 41*u**2 + 2*u + 12 wrt u?\nAnswer: -96*k*u**2 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 218 by -2.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 9 + -19 - (-50 - (13 - -18)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, 3\/26, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -456.49 - -456.6. Sort 0.31, y, 4, 0 in descending order.\nAnswer: 4, 0.31, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*a + 11 = 0. Let q = a + 31. What is the lowest common multiple of q and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57 and 20254?\nAnswer: 60762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140*b**2*q**3 + 8*b**2*q + 946*b*q + 2*b - 80188*q**4 - 492*q**2 - 3*q wrt q?\nAnswer: -840*b**2 - 1924512*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - w + 13. Let x(s) = 82*s - 31. Let z be x(-5). Let h = z - -441. Determine o(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011361858 rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*j + 99 = 0, -y - 36*j + 34*j = -38. Suppose -y*u = -547 - 937. Calculate the least common multiple of u and 8.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -103, -140, -177, -214, -251?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*g, -2*i + 5*g - 3 = -0*g. Suppose -5*x + 10 = 0, -5*b + 2*x + 3*x - 100 = 0. Does 5 divide i + 0 + b\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 401439 times 1.849\nAnswer: 742260.711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 6:17 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 320\/1040*(2\/6*-1)\/2?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 - -84. Solve 0 + a = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1347795 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.055037189313 and 142.\nAnswer: 141.944962810687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 596 (b) -5 (c) 4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101001010111100100011 (base 2) in base 8?\nAnswer: 15127443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 8655 - 12305. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30, 31, 32, 33?\n\"Answer: j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**3 + 34*q**2 + 4*q. Let j(u) = 16*u**3 - 170*u**2 - 22*u. Calculate 11*c(n) + 2*j(n).\nAnswer: -n**3 + 34*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/6 + 311742976*l\/3 + 48591841542668288\/3.\nAnswer: (l + 311742976)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 12*h**2 - 15*h + 89. Calculate w(6).\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 greater than 24738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4\/3, 0, -2, 113?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 6*r**2 - 3*r**2 - 13 + 1924*r.\nAnswer: r**2 + 1924*r - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*-4*(-3 + sqrt(833) + -1 + sqrt(833)) + -3)*5 + 0.\nAnswer: -270 + 840*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t + 30*t - 7986 - 21*t + 7988 + 33*t.\nAnswer: 49*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven eighths of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 265 + -247. Let q be (-200)\/(-28) + g\/21. Solve 3 = -j + q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2.1 (b) -0.109 (c) -3\/5 (d) -1 (e) -1\/7 (f) -8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25, -40, -65, -100, -145, -200, -265?\n\"Answer: -5*w**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3*i - 22 = -w, 14 = i - 3*w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 3*j + 3*j)*(2*j**4 + 0*j**4 + 0*j**4) + 2*j**5 + 0*j**5 + 0*j**5 - j**5 + 2*j**5 + j**5.\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 34\/5 of a hour?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -79. Let n = 376 - 280. Calculate the greatest common factor of n and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14970 divided by -5?\nAnswer: 2994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 459161 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 8:10 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = o + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 23, 66, 147, 278, 471?\n\"Answer: 2*v**3 + v**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 541 + -246. Suppose -6 = -2*u, 4*s - 2*u - z = u. Suppose -5*w - 5*x + 4*x + s = 0, 0 = w - 5*x - 36. Solve -2*f - 3 = -3*n + 9, -4*n + w = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13844041 + -4244991. Let o = 18089031.78000046 + i. Let u = o - -0.22. Round u to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -292, -566, -840, -1114?\n\"Answer: -274*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195\/12*(-2448)\/1530.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 0*d + 2*d = -8, -3*d + 10 = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*i + 3*l + 6, -2*i = -2*l + 12. Let z = -10 - i. Sort 5, z, 3 in descending order.\nAnswer: 5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -374*k**3 - 24*k - 12. Let n(f) = f**3 - 2*f - 1. Calculate 5*a(h) - 60*n(h).\nAnswer: -1930*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27055024.\nAnswer: 2, 17, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.622 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 571 (c) 23 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -3\/82923889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {e: 1, b: 3, v: 1, k: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/80 and (-54)\/(-189) + (-112654)\/(-29904) + (-12)\/3?\nAnswer: 21360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 7 - 4)*(-424855*w + 424855*w + 3520*w**2) - w**2 + w**2 + w**2 as o*w**2 + z + b*w and give o.\nAnswer: 14081","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -20*b. Let c be r(5). Let q = -59 - c. List the prime factors of q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2. Suppose u + 4*u = -3*w - 4, -2*u = -5*w + 14. Let a(z) = -25*z**2 + 15*z**w + 8*z**2. Determine a(d(m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 2:48 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/42*(-140)\/(-200).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213317 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: Expand (-29*s**2 + 17*s**2 - 24*s**2)*(3 - 3 + 2*s**2 + 1).\nAnswer: -72*s**4 - 36*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5+-3.8339\nAnswer: 1.1661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 32020899.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*y, 8*y - 4*y + 26 = -3*s. Let l be (12\/120)\/((-6)\/(-1508)). Let c = -25 + l. What is the closest to 1 in c, s, -0.08?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*x + 47. Let c = -4 - x. Sort -1, c, 2 in ascending order.\nAnswer: -1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115819*s**2 + 38*s - 38*s.\nAnswer: -115819*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1, -11, -47, -119, -239?\n\"Answer: -2*o**3 + 2*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 740 - 740 - 3*v + 3*v**2. Is l(-3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:34 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + 3 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -520\/19 + 7475\/228. Suppose 0*i + 2*i - 50564 = 0. Let v = i - 606895\/24. Find the common denominator of g and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1646365, -1646354, -1646343, -1646338, -1646345, -1646370, -1646419?\n\"Answer: -s**3 + 6*s**2 - 1646370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 800696*z - 1036113 wrt z.\nAnswer: 800696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2, 2*a - 5*w + 4*w = 99. Let g be -5 + (5 - 105)\/(-2). Let i = a - g. Solve z + 0*z - i = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 11*r + 2 = 9*r, -2*r = -8. Sort m, -468, 3, -5 in decreasing order.\nAnswer: 3, m, -5, -468","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -159701438*w**3 - 762886962*w.\nAnswer: -958208628*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -218, -394, -552, -692, -814, -918, -1004?\n\"Answer: 9*z**2 - 203*z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69254\/21 + 3299. Let f = w + -6\/7. What is the closest to -2 in 1\/9, 0.3, f?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*a - 2*a = 37, a = 0. Let q(x) = 3*x**2 + x - 4. Let n be q(5). Suppose -4*d + n = -0*d. Calculate the remainder when g is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25622567 + -3?\nAnswer: -25622572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -2376?\nAnswer: -2373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5665274 by 71.\nAnswer: -5665274\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5263, 5176, 4969, 4582, 3955, 3028, 1741?\n\"Answer: -10*s**3 - 17*s + 5290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26177\/55 + -2392\/5. Calculate the common denominator of -13\/7 and x.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1576 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19*53.\nAnswer: 10.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 2) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + (-1 + sqrt(208))**2*4 + sqrt(208) + -3*(-2*sqrt(208))**2.\nAnswer: -1660 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -4*o + 25. Let h(y) = -y**3 - 6*y + 6. Let p(n) = -n**3 - 5*n + 5. Give o*h(d) + 6*p(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Let b = v - 2. Solve -6*d = -d - 5*j + 10, -3*j = -b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6527 + 6539. Calculate the smallest common multiple of y and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126680358 < 1126680358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 60844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -290 + 293. Solve u*m = -7 + 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110857, -221718, -332579?\nAnswer: -443440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*j = -8*j - 12, 5*j - 37 = -3*y. Suppose 0*o + 4*o = 32. Let u = 10 - o. Calculate the smallest common multiple of y and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 206\/30 + (-62)\/(-465). Suppose 544 = 2*i + 2*d, 2*d = -4*i + n*i - 836. What are the prime factors of i?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001214873 rounded to 7 dps?\nAnswer: 0.0001215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19415?\nAnswer: 5, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 8 - 7. Suppose -r = 2*d - 1. Let q = d - -2. Which is the third smallest value? (a) -0.3 (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 19 = -2*p - 23, -50 = 5*p + 5*k. Is ((-1476)\/24)\/(p\/56) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3794122 by 362.\nAnswer: 10481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 10:51 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 14*z - 10*z**2 + 0*z**3 + 4*z**3 + 0*z**2 - 3*z**3 - 9. Is 12 a factor of m(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1452)\/(-96))\/(-11))\/(21\/168)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 15032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2788713 divided by -5?\nAnswer: -2788713\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-four fifths of a millennium?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3\/4 + 10687*k**2\/4 + 8545812*k + 8577164016 = 0. What is k?\nAnswer: -5839, -2424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2333486 or -2333490?\nAnswer: -2333486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6647621 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*s = -25*s - 79*s - 1656 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 0 - 7*f - 8*f - 3 to t + i*f and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 10 = -0*a, 4*s + 5*a - 14395 = 0. List the prime factors of s.\nAnswer: 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21634 (b) -3\/5 (c) 4 (d) -0.3 (e) -1.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44? (a) -5 (b) -2 (c) 3 (d) -5\/2 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 961, -2\/9, -0.5, 29877, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232 + -231234322?\nAnswer: -231234040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 207 + -207. Let w(t) be the third derivative of 1\/15*t**6 + 2\/105*t**7 + 9*t**2 + p*t**3 + 0*t + 0 + 0*t**4 + 1\/15*t**5. Determine u so that w(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**5 - 42*t**4 - 45*t**3 + 1782*t**2 + 9396*t + 13608.\nAnswer: -3*(t - 7)*(t + 3)*(t + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(238\/17)*2\/(-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69204 and 558888?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8233, -8147, -8075, -8023, -7997?\n\"Answer: -x**3 - x**2 + 96*x - 8327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 4\/11, -4 in ascending order.\nAnswer: -17, -4, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*f - 85 - 46 - 29. Solve 2*w - 28 = f*l, 19*l - 16*l + 32 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -112?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 20*t - 64. Let k be u(-23). Let l(y) = -6*y - 6. Let q(c) = c + 1. Let g be (4\/6)\/((-2)\/(-3)). Determine g*l(m) + k*q(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 5, -4\/3, 0.002?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 810755 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1455*h**2 - 1450*h**2 - 1447*h**2 - 1451*h**2 - 1443*h**2 + 8716*h**2 - 1448*h**2.\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 96 + 60. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 322219, 642977, 963735, 1284493, 1605251?\nAnswer: 1926009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/650637 and 10\/33117.\nAnswer: 86534721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4529, 4528, 4527, 4526?\n\"Answer: -a + 4530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.26 times 0.1766643\nAnswer: 0.045932718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4167 * 0.3\nAnswer: 1250.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4.587, -2.7, -1\/4, -4\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 52. Let x be r(0). Calculate the common denominator of (-642)\/(-4)*1\/(-15) and (-273)\/x*5\/(-9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w - 4*w)*(-w**2 - 4*w**2 + 8*w**2).\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -371*o - 234. What are the prime factors of m(-9)?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/14)\/((-9015)\/(-176694)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*x - 20. Let u = x + -4. Suppose 2*s + 5*g = 2, -3*g + 0 = -3*s + u. Solve -z + s = -1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6185206 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(x) = -50*x - 65*x - 3584 + 1195 + 1201 + 1196. Let l(m) = 77*m - 5. Calculate -8*l(g) - 5*r(g).\nAnswer: -41*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61227260 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -4 (c) 0.5 (d) -2 (e) 15.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4730, 4 in decreasing order.\nAnswer: 4, -10, -4730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 318 and 5419038.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 4*c + 6*c + c**2 - 8*c - 2. What is y(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, 13, 23, 37, 55, 77, 103?\n\"Answer: 2*f**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 1. Let o be l(-6). Let a = o + -4. Suppose 52 = 4*c - 2*c + 3*h, 5*c - 130 = -a*h. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, h: 5, k: 7}. Give prob of sequence nn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzfffzzzz. What is prob of picking 4 z?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -11*k**6\/60 + 16*k**3\/3 - k**2 + 13*k. What is the first derivative of g(b) wrt b?\nAnswer: -66*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2 - (4 - 6)) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 0 - -1)\/(-1). Suppose h = -2*v + v. What is the second derivative of p**3 + p + v*p - 3*p + 4*p wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -55?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.98 - 0.02. Let i = 1 - h. What is the biggest value in -1, i, -3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56123.31 years to months.\nAnswer: 673479.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 4 - 23 = -y, -5*y - 2*y = -5*y - 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 4)*(-5 + 74*b**4 - 142*b**4 + 73*b**4) as c*b**4 + h*b + o*b**2 + x + t*b**3 and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 266? (a) -3\/4 (b) -2\/3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2705)\/(-1160) + -1)\/(6\/4) and -55\/6?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/368413?\nAnswer: 1\/368413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6413 - 54.\nAnswer: -6467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x**3 + 10101 + x**2 - 10101.\nAnswer: -33*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 1\/5, 163.6, 3\/7 in decreasing order.\nAnswer: 163.6, 3\/7, 2\/5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 6 - (-39)\/(-15). Let g(q) = -2*q**2 - 32*q + 5. Let d be g(-16). Sort 4, d, p in descending order.\nAnswer: d, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12510, 25082, 37644, 50190, 62714?\nAnswer: 75210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88860 + 88865. Let l = -0.4 + 0.3. What is the biggest value in 2\/21, l, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*b**4 + 31*b**3 - b**2 + 10*b + 61 wrt b.\nAnswer: 624*b + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4330 - 1?\nAnswer: 4324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-9) - 132\/(-18). Suppose b*l = 46 + 522. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 11, 4, 32230?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbnbobzz. Give prob of picking 1 b and 1 z.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 397344029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*j + 5*l - 17, l + 8 = 3*j. Suppose j*h = -0*h + 5*p + 25, -5*h + 23 = p. Let c(r) = -5*r + 5. Determine c(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10805571 is divided by 104?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 12*j**2 - 10440*j - 20536. Let o(f) = 2*f**2 - 1898*f - 3734. Let s(n) = 28*o(n) - 5*t(n). Factor s(m).\nAnswer: -4*(m + 2)*(m + 234)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19880 = -1250*k - 6033 + 46153 for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 99\/(-24)*1. Let g be (-2)\/(-1)*2\/8. Which is bigger: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**4 + 23093406*c**3 + 9*c + 221654 wrt c.\nAnswer: 24*c**2 + 138560436*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**5 + 7*j**5 - 4*j**5 + j**2 wrt j.\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/50*0*4\/(-8). Put -114, 1, m, 2 in decreasing order.\nAnswer: 2, 1, m, -114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*sqrt(75)*-5 + -3.\nAnswer: -225*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d - 2. Let g be h(-2). Let s(x) = -7*x + 287*x**3 - 288*x**3 + 14*x + 25 - 15*x**2. Let q be s(g). What is the highest common factor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l + 21469 - 21196 = 0 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1308, -1312, -1316, -1320, -1324, -1328?\n\"Answer: -4*u - 1304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24616214 divided by 3516602?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*((-2)\/16)\/((-38)\/152).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 8 = w. Let n = w - 9. Let s(q) = q**2 + 5*q + 8. Calculate the smallest common multiple of s(n) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4998*y**2 - 2318*y**2 - 828*y**2 as d + t*y + r*y**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v - 3*v - 2 - 4*v**3 - 8*v**2 + 4*v**2 wrt v.\nAnswer: -24*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/2 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20384983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4082 divided by 314.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 353489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -94.210953585423?\nAnswer: -91.210953585423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 811818 to the power of 1\/2, to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1168 = -3*m, m - 2*u - 31 = -432. Let h = 407 + m. Solve -z - 2*o = 2*z + h, 0 = -5*z + 5*o + 15 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64\/44539 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, j: 10}. What is prob of picking 2 j?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-nine halves of a litre?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(17)*-2)**2.\nAnswer: -40*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03953 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -376\/11. Let q be 14\/(-12) - (1264\/144 + -9)\/(1\/12). What is the second smallest value in q, -18, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from mczccme.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3) - (-7)\/3. Let d(p) = 8*p**2 - 3*p + 2*p - p**3 - 11*p + 7 + n*p**2. What is the tens digit of d(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**3 + 5*g**2 + 29. Let u(x) = 6*x**3 - 8*x**2 - 43. Give 5*u(s) + 8*v(s).\nAnswer: -2*s**3 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.32 + 0. Let g = -0.12 + s. Let w = 0.8 + g. Put w, 0.2, 0 in descending order.\nAnswer: w, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -39, 1, 843, -9, 4 in increasing order.\nAnswer: -39, -9, -1, 1, 4, 843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 200\/7 + -197\/7. Let g be ((-2)\/(-6))\/(6\/(-45)). Sort g, 5\/3, d in increasing order.\nAnswer: g, d, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v - 601. Give o(-61).\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, l: 2}. Give prob of picking 2 l and 2 b.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -241\nAnswer: 1\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 316063.8 - -1.303.\nAnswer: 316065.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Suppose v*z - 46 = 3*c, 5*z - z - 5*c - 96 = 0. What is the remainder when z is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-9) - 42\/(-9). What is the units digit of (-15)\/(-4) + 1\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56547 - 28266 + 5*y**3 + 6*y**3 - 28263.\nAnswer: 11*y**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9869102 is divided by 851?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*m - 5*n = 39*m - 23 + 6, 24*m - 84 = -4*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/9)\/p)\/p)**16)**(-17\/7) assuming p is positive.\nAnswer: p**(5440\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1720 and 172.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 14 + 4. What is the second derivative of 3*i**4 - 4*i - 7*i**4 + j*i - 5*i wrt i?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.90235l to millilitres.\nAnswer: 88902.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + 14\/(-2) + 3 + 350\/5. Suppose l - 6*b + 2*b - 24 = 0, -4*b = 16. What is the highest common divisor of d and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 - 5*p. Let w(r) = -4*r**2 + 4*r. Let c(g) = -4*a(g) - 5*w(g). Let i(t) = -2*t**2. Calculate c(i(d)).\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*s = -151*s - 5. Suppose i - 2*n + 4 = 0, i - n = -s + 1. Let f(k) = k**3 + 3*k**2 - 5*k - 5. Calculate f(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 16 = -j. Let i = 11 - j. Suppose 0 = -5*c + 2*v + 5, 2*c = -i*v - 2 + 23. Solve c = 2*a - 3*p, 3*a + p = -a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3692911 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283, -547, -807, -1063, -1315?\nAnswer: -1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 6*f - 2*c + 11*c - 6*c + 62 = 0, -4*c - 361 = 49*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**4 + 4*w**3 - 4*w - 30. Let s(m) = -7*m**4 - 5*m**3 + 5*m + 31. Let v(y) = 5*j(y) + 4*s(y). Differentiate v(h) with respect to h.\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3383 - -64282\/19. Put -1\/7, t, 0.2, 0 in ascending order.\nAnswer: -1\/7, 0, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-32))\/r)\/(r*r*r*r**(-13)))\/(r*r**(-3\/16))**11 assuming r is positive.\nAnswer: r**(-495\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 230998 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {g: 3, e: 1, x: 5, v: 6, k: 3, t: 2}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 - (3 - 6)) - -27 - 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.4507363 and 32.\nAnswer: 35.4507363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -2\/57 (c) -0.03 (d) -2\/5 (e) 38 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388414699 is divided by 172.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5045, 5500, 5953, 6404, 6853?\nAnswer: 7300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 52\/(-2366)*-26 - (458\/7)\/(-1). Calculate the highest common factor of r and 781.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d - 2a?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3522, -127, 0.1, 37\/5 in decreasing order.\nAnswer: 3522, 37\/5, 0.1, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 1150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -36*a. Let x(j) = 9*j + 4. Let g(k) = -20*k - 3. Let z(h) = 19*h + 4. Let c(b) = -3*g(b) - 4*z(b). Let p(t) = -4*c(t) - 7*x(t). Calculate p(m(s)).\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13096 (base 10) in base 9?\nAnswer: -18861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4 + 64*a**3 - 368*a**2 - 2304*a - 2592 = 0 for a.\nAnswer: -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l. Suppose -4*n + l = -8. Suppose -n*z + 3*z = 3. What is the smallest common multiple of z and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2778 = w, 0 = 2*w - p - 1141 - 4406. What is the remainder when w is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96 + 120. Calculate the greatest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**2 + 1 - 4 + 5 - 2.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - f. Let a be g(0). Let l be a\/(-1) + 2*2. Suppose -3*z = -5*b - 77, -b + 23 = 5*z - 4*z. Solve -4*y = -m - 6, 5*y + l = -5*m + z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by 23?\nAnswer: -26\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 l, and 1 n when four letters picked without replacement from {f: 3, s: 1, d: 4, l: 7, n: 3}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -4\/283, -17, -4 in descending order.\nAnswer: 0.4, -4\/283, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(((-7018)\/7975)\/(2*2\/(-20)) + -4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllbgbgdbg. What is prob of picking 1 d, 1 b, and 2 l?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -n + 4. Suppose -556 - 326 = -3*p + 4*d, -2*p + 581 = -n*d. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 28 + 63 - 35.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575206.\nAnswer: 2, 19, 15137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302076 to the power of 1\/2, to the nearest integer?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 88792081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, z: 1, q: 3, u: 3, m: 9, l: 1}. Give prob of sequence pp.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1098 and 230.\nAnswer: 126270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-45)*3)\/(-1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 8*v + 12. Let m be a(-9). Suppose 0*l + l = m. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001000000000010001 (base 2) to base 5\nAnswer: -33414204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*c - 162*c + 1104 = 3760 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 15087604728.3.\nAnswer: 15087604732.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27012324 (base 9) to base 14.\nAnswer: -1aa0c17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 7*o + 2. Let d be q(7). Let z(c) = 71*c - 7. Let n be z(-1). Let b = 79 + n. Put d, -1, b in ascending order.\nAnswer: -1, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9456 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2062620 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18651 is divided by 42.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-eight sevenths of a week in days?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*i**2 - 38*i**3 - 44*i**2 - 9*i**3 + 4*i**3 wrt i?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -225, 3, 4, -75, 0 in decreasing order.\nAnswer: 4, 3, 0, -1, -2, -75, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2085)\/(-120) - (22\/16 - 1). Let c be 11 + -15 - r*-1. Solve -t = -c + 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 17\/2 of a millisecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.02 - -5.32. Let v = 3.17 - q. Put -1\/4, v, 5 in decreasing order.\nAnswer: 5, v, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 648898 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*d**2 + 5*d**2 + 0*d**2 + (-4*d**2 + 2*d**2 + 5*d**2)*(0 - 1 + 0) - 2*d**2 + d**2 - d**2 + (-2 + 0 + 0)*(-2*d**2 + 3*d - 3*d) + 2 + 2*d**2 - 2.\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 10:06 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 2\/9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 380*v**2 - 5 + 2*v - 382*v**2 - 24*v**4 + v**3 + 3 to the form r + d*v + q*v**4 + f*v**2 + t*v**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 t, and 2 a when four letters picked without replacement from ltallllaaallaa.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6914728cm?\nAnswer: 6914728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from mmemwowowowowwm?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuknunnnnttu. Give prob of sequence ntt.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337224*d**3 - 4*d - 213890*d**3 + 0*d + 2*d.\nAnswer: -551114*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13648 + 2?\nAnswer: -13646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*(sqrt(396) - ((sqrt(396) - -5*1*sqrt(396)) + sqrt(396))) + 3))**2.\nAnswer: -15552*sqrt(11) + 2053188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 12800*g - 268809. Give c(21).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 763.0306ug to grams.\nAnswer: 0.0007630306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2. Let t(a) = -36*a + 5. Let s(h) = -18*h + 2. Let m(q) = 10*s(q) - 4*t(q). Determine l(m(j)).\nAnswer: 2592*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -611.644*-382\nAnswer: 233648.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420 and 3117420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -465 - -466.87. Let v = 1.7917 - w. What is v rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by ((-7)\/(-28))\/(1\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264008485513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(425) + -5 + 1))**2 + (4*(sqrt(85) + sqrt(85)*-1*-1)\/(sqrt(500)*1 + sqrt(5)))**2.\nAnswer: -450*sqrt(17) + 491138\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 185948597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-14))\/(1\/7))\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((y**2 - 2*y**2 + 0*y**2)*(-y + 1 - 1) - 8*y**3 + 6*y**3 + 18*y**3)*(4*y + 4*y - 6*y) as g*y + b*y**2 + u*y**4 + f*y**3 + i and give u.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 4*g + 1, -2*g + 6*g - 4 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*m = 12*m - 122*m - 4368. What is the biggest value in -91, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**2*h - 16634*d**2*m + 25694598*h*m**2 + 1495*m**2 wrt h.\nAnswer: -2*d**2 + 25694598*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2494.\nAnswer: 2, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 10:18 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(7\/(((-1254)\/55)\/(-3)))*(-125)\/(-75).\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8312735 (base 11) to base 7.\nAnswer: 235503562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v. Let w(u) = -7956*u. What is x(w(q))?\nAnswer: 31824*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6273.95599 + -6274. What is b rounded to three dps?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6687 - -1?\nAnswer: -6686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-7) - 22890\/(-294). Suppose h - 8 = 14*y. Sort -5, y, -40 in increasing order.\nAnswer: -40, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13, -31, -49, -67, -85, -103?\n\"Answer: -18*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -9*o - 6. Let r(d) = -2*d - 1. Let h(j) = -5*r(j) + u(j). Let q(k) = -k**2 + 3*k - 2. Let n(a) = -6*a - 39. Let b be n(-7). What is b*h(t) - q(t)?\nAnswer: t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32.59724 - 32.024. Let p = k - -2.44506. Let z = -3.04 + p. Round z to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 3*z + 3. Let p be a(-3). Suppose 3*c = 3*y, -p*c + 0*c = -y - 8. Solve y = -4*n - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -51*z + 163. Let q be r(-7). Suppose 0 = 40*f - 27*f - q. What is the smallest common multiple of 4 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1851 - 1866) + (-4 - (0 - 0)) + -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34301123?\nAnswer: 53, 311, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/26)*x\/x**30)**38 assuming x is positive.\nAnswer: x**(-14345\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28 - 1)\/(-81)*2. Let r = -281483\/21 - -13397. Let y = 20\/3 + r. What is the closest to y in 0.3, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 3*f**5\/10 + f**4\/8 + 11*f**2. Find the second derivative of u(m) wrt m.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {y: 1, w: 1, p: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5014439.2 and 1.\nAnswer: 5014439.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**3 - 219*n**2 - 1035*n + 128547 = 0. What is n?\nAnswer: -23, 27, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3, 3757, -40 in decreasing order.\nAnswer: 3757, 3, -0.2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 + -493\/4. What is the common denominator of 77\/16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 6:36 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1815 is divided by 82?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -65*s + 25. Let u = 2 - 5. Let j(a) = -8*a + 3. Determine u*g(c) + 25*j(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 10*z = 7*z. Solve z = -4*v + 3*c - 3, -4*c + 20 = 5*v - 3*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.8 or 6\/25?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/2)\/(18\/(-12)))\/(1156\/36414)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 248 and -6.873.\nAnswer: -1704.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - -17) - 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/8, 0.3, 1788.9, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1526 - 1526 - 13*s**3 + 11*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*y - 22, 4*y - t = 15 + 15. What is the first derivative of 4 + 31 + 12 + 94*k**3 - y wrt k?\nAnswer: 282*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 40\/9 (b) 35.11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-767888.\nAnswer: 230366.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 280 - 230. Calculate the remainder when h is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 39*r + 456. What is the lowest common multiple of 5544 and n(-12)?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000575 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 5*l + 16, -3*i + 7*i - 16 = -l. Suppose 2*a + 6 = i*a. Differentiate -5*m**3 + 4 + 1 - 1 + m**a wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.48 - 15. Let t = -93786886.47999941 + 93786886. Let m = t + n. What is m rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**3 - 2*o**2 + 3*o - 1. Let g = -3 + 4. What is the smallest common multiple of g and f(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h**3 - 4 + 1431*h - 1 - 1429*h + 2 to i*h + t + m*h**3 + u*h**2 and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*t**4 - 8*t + 9*t + 2*t**4 + (t + 3*t - 2*t)*(-41 + 41 - 47*t**3) + (-t**3 + 3 - 3)*(-4*t + t + 2*t).\nAnswer: -42*t**4 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 204\/50 + -7*(-10)\/(-875). Let n(m) = -m - 4. Let w be n(-6). Suppose 60 = 6*t - w*t. Solve 0 = 5*z + 2*g + 14 - 5, -t = l*z - g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.23 and -0.5?\nAnswer: -0.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 12*u - 9*u - 6*u - 12 - 16, 5*u - 2*h = -64 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j + 8. Let c be s(4). Let a = 56 + c. Calculate the highest common factor of a and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - 1 + 1 + (-6 - 1 + 14)*(0*n + 4*n + n) + 3*n - 3*n + n + 3*n + n + n.\nAnswer: 42*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**3 + 19*l**2 + 17*l + 37. Let v = 409 - 392. Let i(t) = -t**3 - 7*t**2 - 6*t - 13. Let s(z) = v*i(z) + 6*x(z). Give s(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 2\/11, 276\/5 in ascending order.\nAnswer: -1, 2\/11, 4, 276\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) -1\/4 (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 5, d: 1, p: 4}. What is prob of sequence lpa?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -61*t + 7. Let c(i) = -62*i + 6. Calculate -5*c(j) + 4*x(j).\nAnswer: 66*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 187, 0.2, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*u**2 + 2*u - 73*u**2 + 139*u**2)*(0*u + 0*u + u**2).\nAnswer: -3*u**4 + 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4\/15)*((x*x\/(x*x\/(x\/(x*x**(-3\/28)*x))))\/x)\/x assuming x is positive.\nAnswer: x**(-1327\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2294072 is divided by 764688.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d\/(d\/d**13)*d))\/d**43)\/(d**28*d**25))**(3\/14) assuming d is positive.\nAnswer: d**(-165\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1778*t**2 - 25*t + 4. Give p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-66)\/110 - (-26)\/10. Suppose -y*j - 4*i = 17 + 3, 4*j - 5*i = 25. Differentiate -12*z**4 + j*z**3 + 19 + 0*z**3 - 3*z**4 with respect to z.\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**4\/3 + 1126*g**3\/3 + 4*g**2\/3 - 4504*g\/3 = 0.\nAnswer: -2, 0, 2, 1126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 20597678 to the nearest 10000.\nAnswer: 20600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -1. Let r = z - -5. Let l = 67\/3 - 22. What is the closest to r in l, 1\/6, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(2*(sqrt(208) + -2))**2 + -3.\nAnswer: -512*sqrt(13) + 6781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3609 is divided by 87?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1720844128 to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5 + 1 + 0*f - f + 3. Let t(d) = -3. Let m = -247 - -240. Let s be 28\/24 - m\/(-42). Determine s*t(i) - 2*x(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -838063743 to the nearest one million.\nAnswer: -838000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1057 + 343. Round g to the nearest 10.\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-3)\/(-39) + ((-9299)\/(-221) + 9 - -16).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2321900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 962 + -961.99997826. Round b to 7 decimal places.\nAnswer: 0.0000217","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -657721\/5 + 1621\/5*u**2 + 1\/5*u**3 + 656099\/5*u.\nAnswer: (u - 1)*(u + 811)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 20612357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 801 divided by -267\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -418649 - -418683.00008. Let a = -34 + v. Round a to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -248, -397, -644, -989, -1432, -1973?\n\"Answer: -49*k**2 - 2*k - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 + 5*m**2 + 5*m. Let b be 52\/(-13)*27\/12. Let n(s) = -13*s**3 - 20*s**2 - 21*s. Give b*z(v) - 2*n(v).\nAnswer: -v**3 - 5*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 1 - 2 = -2*r, -r = 4*z - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 121.32882.\nAnswer: -849.30174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/5 + -2 + (-41)\/((-820)\/72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 34\/5 of a decade?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -3*w**2 + 1. Let b(p) be the third derivative of 0 + 0*p + 0*p**4 + 0*p**3 - 1\/30*p**5 + 2*p**2. Determine o(b(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11528 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: Let z(i) = -i**2 - 4*i + 2170. Let s(r) = 5*r + 16. Calculate z(s(n)).\nAnswer: -25*n**2 - 180*n + 1850","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 611 + -315. Let y = i + -48. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -31, -68, -127, -214?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 21 = 3*v, -2 + 6 = v + 3*i. Sort v, -2, 4, 0 in increasing order.\nAnswer: v, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 354*x + 8619. What is c(-24)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 3*k - 4*a, 2*k - 5*a - 1 = 0. Let x(b) = -b**3 + 7*b**2 + 9*b - 6. What is the units digit of x(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 496 + -1071. Let z = -570 - n. Which is the smallest value? (a) z (b) -0.2 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2180*v - 82825. Give u(38).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 1130203321?\nAnswer: -1130203313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 439020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 331409 and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 928934205*b. Let d(t) = 2*t**2. Calculate p(d(w)).\nAnswer: 1857868410*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24761 + 866703\/35. What is the common denominator of m and -7\/65?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45012631*i - 45012631*i + 2062*i**3.\nAnswer: 2062*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + (4 - 0) - (-36 - -40 - -7)) + 69.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -97*i**2 + i**3 - 5 + 9 + 104*i**2 + 2*i. Suppose 9*m - 7*m = -14. What is d(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 795571 rounded to the nearest 10000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z. Let j be p(1). Is 10 a factor of j\/(-4) - 804\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 - -0.83. Let a = 0.28 + b. Let q = a + 12.47. Round q to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 135832293081\nAnswer: -135832293080.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -11. Solve -5*w + 5*k = q, 3*w + 2*k - 1 = 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**3 - 2*f**2 - 2*f - 1. Let g = 21 - 15. Calculate the least common multiple of m(-1) and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1945\/11 + 177. Let q = -31 - -45. Let l be 6\/(-3) + q\/6. Sort 1\/6, r, l in increasing order.\nAnswer: 1\/6, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o + 11. What is z(6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2100 - -1020?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 75 + 8 + (0 - 1 - 1)*(-2 + 1 - 1))*(-j**2 + 4*j**2 - 4*j**2 - 10*j**4 + 2).\nAnswer: 790*j**4 + 79*j**2 - 158","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 946 and 5.\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 537 - 536.94. Which is the second biggest value? (a) 2\/11 (b) -0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3 - 2 = 0. Let m(l) = l**2 + 8*l - 7. Let s be m(-9). Suppose 3*i = 5*f + t + 2, -i + s*f + 1 = 0. Are 2 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6363, 17935, 34713, 56697?\n\"Answer: 2603*u**2 + 3763*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 16) to base 3\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**4 - 60*p**3 - 150*p**2 - 140*p - 45.\nAnswer: -5*(p + 1)**3*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/12)\/(3\/(-18)). Let n be ((-60)\/5)\/(o\/(-8)). Let j = n + -29. Solve 4*f - 7 = j*r, -1 = 3*f + 3*r + r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6075, 6091, 6107, 6123?\n\"Answer: 16*p + 6059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 26875.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-2)\/(-4) + (-16050)\/(-60). Suppose -32*w + 18*w = -x. Calculate the smallest common multiple of w and 4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -26, -0.7, 2\/11, -60, -0.3, 14, -5?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 4 + 2*u)*(-3*u - 2*u + 0*u)*(-4 + 4 - 4) in the form j*u + v + k*u**2 and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -176?\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s*(s*s**(2\/23)\/s*s)\/s)\/s*s*s**(5\/3)*(s*s**(-1\/4)*s)**(9\/5))**38)**(-4\/13) assuming s is positive.\nAnswer: s**(-31882\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-9))\/(10\/14220). Suppose 2*m = 2*a + n, 4*m - 152 - 811 = a. What is the remainder when m is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35d - -684?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 515373, 515366, 515347, 515310, 515249, 515158, 515031, 514862?\nAnswer: 514645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 plus 0.21?\nAnswer: 60.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12126204.\nAnswer: 2, 3, 167, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*sqrt(152))\/(-6*2*sqrt(8)).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 + 286?\nAnswer: 286.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2 - 212462*r - 11285025361 = 0?\nAnswer: -106231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12131340423 (base 5) to base 14\nAnswer: -1c8c41a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 579669992.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 101982004.5 and 27.5.\nAnswer: 101982032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 7*j**2 + 114*j + 66. Let p be a(-15). What is the greatest common divisor of p and 540?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-two fifths of a decade?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22, 92, 200, 340, 506, 692, 892, 1100?\n\"Answer: -d**3 + 25*d**2 + 2*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + (-4 - (-4 + 26))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102657 is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*2 - sqrt(70))*-2 + sqrt(70))\/(sqrt(100)\/sqrt(40)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k. Suppose k*n + 2*n = 0. Put -2, 3, n in ascending order.\nAnswer: -2, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2166 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3944 + -3945.659. What is s rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5470 or 4914?\nAnswer: 5470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 1\/3, 13443 in decreasing order.\nAnswer: 13443, 4\/3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 154 = -7*g. Let a(u) = -2*u + 38. Let r be a(g). Suppose 18*i - 28*i = -r. Let c(h) = 3*h**2 + 1. Give c(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219354401281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/9 - 82040*s\/9 - 1682640400\/9.\nAnswer: -(s + 41020)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21\/5 of a millennium?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zozzjjzkkkkkkjjzjij. Give prob of picking 1 k and 2 z.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3192 + 988. Round u to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**6\/120 - 3*v**5\/20 - 7*v**4\/24 - 10*v**3\/3 - 2*v**2 - 112*v. Give p(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 8*z + 9. Let w be y(9). Let a(x) = -x - 5. Calculate a(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*p - 74, -3*p = 2*v - v + 6. Let d be 30\/(-4)*12\/v. Let r(b) = -4*b**2 - 4*b + 5. Let a(j) = -3*j**2 - 3*j + 4. Determine d*a(z) - 4*r(z).\nAnswer: z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 14*h - 17. Let d be k(-2). Let t be (-9415)\/d + 1\/((-27)\/6). Calculate the highest common factor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*q - 3*q + 3, -3*h + q = -3. Suppose -4*t + 13 + 3 = h. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 4 (c) -3 (d) 2 (e) -1.9 (f) 1\/219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -24213433 (base 5) to base 15\nAnswer: -46ee8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/4 - 3089*d**3\/4 + 2315*d**2 - 1543*d.\nAnswer: d*(d - 3086)*(d - 2)*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, 1, 6, -1, -26, -75, -154?\n\"Answer: -z**3 + 3*z**2 + 9*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06032 to three dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 223690.9l?\nAnswer: 223690900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*k - 2, 4*k = -9 - 7. Suppose 0 = 5*u + 2*d - 222, u - d - 48 = -p*d. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Suppose -l*t = -s - 269, 2*t - 5*s - 377 + 128 = 0. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y)**3\/(y**(-4\/9))**(-6\/11) assuming y is positive.\nAnswer: y**(-8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*245 + 8\/(32\/20). Suppose 32*u = -8*u + w. What is the highest common factor of 344 and u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(((-4)\/32*-2)\/(-22))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 - 1)*(-u + 0*u - 2*u) + 2*u + 6 - 6 + 108*u + 225*u + 256*u + 457*u as k + l*u and give l.\nAnswer: 1042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = y - 186. Let m = y + -28. Differentiate 2*j**2 - 1 + 5 + m wrt j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g. Let w(k) be the first derivative of -k**6\/180 + 6*k**3 + 18. Let o(h) be the third derivative of w(h). Calculate r(o(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 339.8789 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/18 + 14\/6. Suppose -c = t*d + 9, 5*d - d = 3*c - 25. Let z(h) = -h**3 + 6*h**2 - 6*h + 7. Let m be z(5). Solve c = -y - m*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098643.\nAnswer: 7, 13, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 17125 = 5*g. Let z = 2975 - g. Round z to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/12 - (-2)\/(-8) - -3. Suppose 845 - 46 = 47*s. Put 1, s, m in ascending order.\nAnswer: 1, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -54 (c) -3\/5 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*b + 26 = -18, 0 = 5*d + 3*b + 47. Let i be (1 - d)*(-11)\/(-22). Suppose 4*z + 19 = 5*f + 338, 3*f - 327 = -i*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -7*l**7\/24 - 7*l**6\/40 + 3*l**5\/10 - l**4\/12 - 4*l - 3. Let m(t) be the first derivative of p(t). Factor m(v).\nAnswer: -v**2*(v + 1)*(7*v - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2)*c)**(14\/5)\/((c\/c**4)\/c)**(-39))**(3\/47) assuming c is positive.\nAnswer: c**(-468\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 363014*m - 362998*m + 128 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -33*k - 6. What is j(2)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640315 divided by 1?\nAnswer: 3640315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**3 + 2 + 3*n - n**2 - 21*n - 5*n**4 + 20*n as w*n**3 + t*n + k + q*n**4 + o*n**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 412?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/((-2)\/(-561)) + (-56)\/(-14).\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82605 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 13*d**2 - d - 15. Let h be v(-13). Let y be ((-3)\/h)\/((-5)\/10). Let q(a) = -6*a. Is q(y) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 3*l + 3*l)*(11*l**3 + 4*l**3 + 208*l**3) - 2*l**2 + 2*l**5 + 2*l**2.\nAnswer: 225*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 40757 divided by -53\nAnswer: -769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -584352*m*o**2 + 86*m*o + 10*m - 33*o**2 - 59701 wrt o.\nAnswer: -1168704*m - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*(-5)\/((-110)\/(-36)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 13*q**2 - 8*q + 29. Let d be c(-12). Suppose 6*v - 140 = v. Let t = d + v. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 7:21 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + v**2 - v. Let t be f(-2). Let l be 1*213\/(-6)*5\/10*-4. Let j be (t - 3*-1) + l + 5. What is the highest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387196 is divided by 439?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + x**2 - x. Let f(a) = -5*a**3 + 6*a**2 - 6*a. Let z = -14 + 20. Determine z*b(y) - f(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 14*p + 7. Calculate g(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*o**2*r**2 + 273*o**2*r - r**5 wrt r?\nAnswer: 22*o**2 - 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 19 = v + 8, -4*v - 4 = 0. Let h = 12 + s. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/15, -7\/6, 21 in increasing order.\nAnswer: -3, -7\/6, 1\/15, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -109? (a) 3\/4 (b) 13 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-8))\/((-6)\/(-8)). Solve -10 - 3 = t - a*f, -3*f = -15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/3269230901?\nAnswer: 2\/3269230901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7553*r - 7553*r + 5*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 1359.\nAnswer: 135.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 105600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + sqrt(19) + sqrt(931)*4.\nAnswer: -2 + 29*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/2 + 478746*w**2 + 3830040*w + 7660128.\nAnswer: -3*(w - 319172)*(w + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(98))**2 + (sqrt(10)\/sqrt(20))**2.\nAnswer: 1765\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5876*h - 12159*h + 6292*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28508671?\nAnswer: 28508671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.7 + 4. Let i = -9\/50 + 1\/75. Let r = 2 - 5. What is the smallest value in k, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-27)*p**(11\/2))\/(p*p*p**(-1\/4))**(-30\/11))**(3\/19) assuming p is positive.\nAnswer: p**(-519\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*q + 1394 - 140 = 67*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 76. Does 9 divide h(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 3*j - 106. Suppose j = -f + 5*z, -3*f - 4*z + 6*z = 206. Let d be (-2)\/(4 + 268\/f). Solve a + r = 3, -5*a - r + d = 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6545 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2986219\/13 + 229527. Let n = l + 182. Let g = -1.5 + 1. What is the nearest to 1 in -2\/3, n, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.02 (c) 0.1 (d) -0.2 (e) -2\/7 (f) -39\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -49459 + 1?\nAnswer: -49458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -2*y**3\/3 + y**2\/2 + 7*y. Let t be r(-1). Suppose -t*j + 15 = 5. Solve -3*f = -4 - j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -46*f**3\/3 - 160. Let r(b) = -2*b**2. Determine t(r(j)).\nAnswer: -184*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289*o**5\/3 - 697*o**4 - 3370*o**3\/3 - 236*o**2 - 40*o\/3 = 0. Calculate o.\nAnswer: -5, -2, -2\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1391 and 23968.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k + 6 - 3 - 2*k**4 + 2*k**3 + 6*k in the form q + c*k**2 + s*k + y*k**4 + r*k**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 - 5 + 5 + (0*z - 5*z + 3*z)*(4*z + 0*z - 2*z) - 762*z**2 + 448*z**2 + 456*z**2 - 2*z to the form x*z**2 + v*z + l and give x.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 553711, 2214708, 4982979, 8858518, 13841319, 19931376, 27128683, 35433234?\nAnswer: 44845023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4*f - 175, 0 = -3*m - 5*f + 521 + 72. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8)*-2*10. Suppose 2*z + 2*c = 138, 3*z - h*c = -0*c + 183. Calculate the highest common factor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3574348, -3574349, -3574350, -3574351?\nAnswer: -3574352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333 = 6*q - 11*q - 7*x, 4*x = 5*q - 289. Which is bigger: q or -32?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121 (base 6) in base 10?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (414\/4)\/1 + (-36)\/24. Let y(s) = -9*s - 43. Let b be y(-16). Let a = b + -50. Calculate the highest common divisor of o and a.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24646908 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33793 is divided by 126?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435766?\nAnswer: 2, 53, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151185554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 11*p**2 - 1059. Let x(f) be the second derivative of 8*f**3\/3 + 26*f. Give x(l(z)).\nAnswer: 352*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1597 = 190*k + 1063 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54646086?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 5. Let t = 4 + -7. Let k(x) = -x**2 + x + 3. Let j be k(0). Sort d, j, t.\nAnswer: d, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3844, -8350, -13048, -17938?\n\"Answer: -96*j**2 - 4218*j + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**2 + 1330*y - 2659*y + 1329*y.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(10\/(-8)) - -1. Let d be ((-52)\/8 + 2)*(-6)\/9. Let n(m) = 3*m**3 - 2*m**d + 0*m**3 + 4*m**2. Give n(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313038 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 23*y**2 + 20*y - 40. Let h be n(-22). Let f be h\/(-2)*7\/(-7). Suppose -6*p + 356 = -f*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 112 = 4*m, 0 = 18*m - 14*m + u + 11*u - 384 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Suppose x - 2*x = -o. Find y such that y**2 - 2*y**2 - 3*y**3 + 0*y**3 + x*y**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/7 + -3)*(14 + (-811)\/58)*-2.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y - 180 + 26 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148 or 29296\/197?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -110010110101 (base 2) to base 13\nAnswer: -1633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 18*n**2 + 2*n + 2. Let d be v(3). Let u = -511 - -577. Let t be ((-30)\/(-33))\/(6\/u). Calculate the greatest common divisor of d and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1cc + 533c87?\nAnswer: 534075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a83 (base 15) in base 14?\nAnswer: -3479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64912 is divided by 198?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 110 = 430. Suppose 81*q = 91*q - w. Let l = 13 - -11. Solve -k = -5*p - 22 - q, 5*p = -k - l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 345*j + 5700.\nAnswer: 3*(j - 95)*(j - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - 13. Let b be 51\/((-9)\/6 + 3). Let s = b + x. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0802093925 to three dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*t - 31 + 469 = 0, 2*l + 4*t = 234. Suppose 1146 = 23*f + l. Calculate the highest common divisor of f and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -14*z - 20. Give g(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 10, 32, 0.3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432500 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1534 or -1535?\nAnswer: -1534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, t: 8, v: 3, d: 2}. Give prob of sequence vht.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 + 2*n**2 - n**2 + n**2. Let w(x) = x**3 + x**2 - 2*x. Let y be w(-2). What is l(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6758620 to the power of 1\/2, to the nearest integer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 745658 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1128, -2265, -3416, -4581, -5760, -6953, -8160?\nAnswer: -9381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7375872 and 1776?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 + m**2 - 14*m**3 + 79)*(-1 + 1 - 2*m)*(-7 - 5 - 3).\nAnswer: -420*m**4 + 30*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 3*t**2 + 5*t + 3. Let f be m(-3). Suppose -3*j + j - 4*i - 12 = 0, -75 = 5*j + i. Let h = f - j. Is 17\/6 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1938?\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9))**(2\/19) assuming x is positive.\nAnswer: x**(-18\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -12) + (3 - 8) - (21 - 11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 34. Let c = d - 10. Find the second derivative of 0*m**3 + 3*m**3 - 5*m**3 + 3*m + c*m wrt m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18.29187 and -17.\nAnswer: -310.96179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 16) to base 4.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80175510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 8*d - 3. Let g be t(4). Suppose 466 = 22*f - 678. What is the highest common divisor of g and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-12) - ((-24)\/(-30) - 441\/270)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f - 2*f + 6024 = 0. List the prime factors of f.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 6. Let d be t(5). Let z be 2\/(-9) - (d + -1). Let j be (-10)\/(-8)*4*1. What is the smallest value in z, j, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5682571.\nAnswer: 37, 383, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 225230 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57*g**2 - 2950*g + 37312.\nAnswer: (g - 22)*(57*g - 1696)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 4*d**3 - 2*d**2 + 19.\nAnswer: -4*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.8 - -25. Let v = 26.89 - 27. Let w = 0.08 + v. Sort h, w, -2 in ascending order.\nAnswer: -2, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 9*i**3 + 3*i**2 - 3*i + 2. Let r(d) = -10*d**3 - 4*d**2 + 4*d - 3. Determine 3*r(t) + 4*s(t).\nAnswer: 6*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(((f\/f**(-1))\/f*f)\/f)*f)**44)**33)**(-4\/19))**(-3\/16) assuming f is positive.\nAnswer: f**(1089\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 12.99.\nAnswer: 38.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -38. Let x = r + -14.6. Let c = 33.9 + -32.9. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-27)\/4)\/(18\/(-48)) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + 13 + 7 + -2 + -1 + -5?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/p**(-10)*p*p*p))**32\/(p**(-3\/4))**8 assuming p is positive.\nAnswer: p**(-442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 1. Let s(v) = 5*v**2 - v + 9. Let h(r) = 6*a(r) - s(r). Let c(p) = 16 - p - 3*p + 11600*p**2 - p - 11606*p**2. What is -2*c(i) - 11*h(i)?\nAnswer: i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (21114\/(-408) - -78).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-3)*(-5)\/(-10)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -12, 3, -60, 1, 25 in increasing order.\nAnswer: -60, -12, 1, 3, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 4*g**3 - 3*g**3 - 7*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/2*9\/18.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*22*(-2)\/(-8). Suppose 3*n = 1 + i. What is the lowest common multiple of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*y + 1565834 - 8106800 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27, -49, -71, -93, -115?\n\"Answer: -22*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/10 + 3*a**4\/2 + 5*a**3\/6 + 570*a**2 - 1. Give p(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 - 107.7. What is the nearest to -2\/3 in 0, -4, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 2*j**2 + 4*j + 4. Suppose 7*x - 5*x = 4. Suppose -14 - 16 = -4*t + 2*l, x*t - 20 = 2*l. List the prime factors of w(t).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2))**(-1\/17)\/((s**(-1)*s)\/(s*s**(-5))) assuming s is positive.\nAnswer: s**(-137\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -286\/2507 - 23506861\/55154. Let h be ((-1026)\/(-4))\/(12\/(-20)). Let w = h - y. What is the common denominator of -75\/8 and w?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**3 + 780*b**2 - 130468*b + 129684 = 0.\nAnswer: -303, 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -91*c**3 - 7*c**2 - 47*c - 142. What is the units digit of h(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 6:42 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17031 + 30329. Let k = y - 319087\/24. Calculate the common denominator of 56\/3 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89.92 + 90. Sort 4, 2, z in increasing order.\nAnswer: z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g**2 + 62*g + 98. Let z be a(-2). Solve -q - 7 = -2*d, 4*d - z = 5*q + 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 9*d + 11. Let j be t(8). Is j\/6*(1 - -19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.035.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*x + 39 = 0, -5*d = -6*d + 5*x + 13. Put -5, -4, d in descending order.\nAnswer: d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38b85e (base 15) to base 13\nAnswer: -744044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-9)*n*(n*((n*n*(n*n\/n**(-1)*n)\/n)\/n)\/n)\/n)\/((n\/(n\/((((n*(n*n**(2\/7)*n)\/n)\/n)\/n)\/n)))\/n**10))**(-24) assuming n is positive.\nAnswer: n**(-960\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, k: 11}. What is prob of picking 2 k?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 66*n - 50. Let d(h) = -33*h + 24. Give 5*d(b) + 2*r(b).\nAnswer: -33*b + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 6*d - 95. Let s = -11 + d. Differentiate 54*a**3 - s*a**4 - 54*a**3 + 11 with respect to a.\nAnswer: -32*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288702 and 3096?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -720*c**3 + 1685*c**3 - 734*c**3 + 4*c**2.\nAnswer: 231*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j - 25. Suppose 4*p + 8*p = 48. Suppose 54 = -2*g - p*b, g - 5*b + 0 = -6. List the prime factors of m(g).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 2:57 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u**(-2\/27)\/u)*u*u*u*u\/((u*u**(-12))\/u))\/(u\/(u**(-3)*u)*u)**(-33) assuming u is positive.\nAnswer: u**(3998\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqvvaqxkxmqqkkvkkmmk. Give prob of sequence qq.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 > -681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 521518171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -2*q**5\/55 + 9*q**4\/22 - 28*q**3\/33 + 58. Factor p(b).\nAnswer: -2*b**2*(b - 7)*(b - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from {u: 1, z: 2, f: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 149922 to the power of 1\/2, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + o + 0 - o + 0*o - 2*o + (2*o - 3*o + 3*o)*(-1 + 0 + 3) + 4*o - 4*o + 7*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(75\/(-50))*(-266)\/280.\nAnswer: -19\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 50 - 23 - 25 + 40*k. Let l = 0 + 3. List the prime factors of b(l).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*a**4 + 502*a - 3758 wrt a.\nAnswer: -16*a**3 + 502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -7*b - 2\/3*b**4 + 0 + 0*b**2 + 1\/6*b**3. What is the second derivative of u(f) wrt f?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 - -15.9. Let j = -16.9999993 + n. Round j to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**11\/1330560 + i**9\/120960 - i**7\/20160 - i**5\/15 - 2*i**2. Let w(a) be the third derivative of n(a). Factor w(d).\nAnswer: -d*(d - 1)**2*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 5*p**2 - 4\/3*p**3 + 1\/12*p**4 + 47 - 3*p. Suppose a - 3 = -2*x, a - 3*a = -5*x - 24. Give s(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 576204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -35227 bigger than 225\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**5 + 89388*m**4 + 626034*m**3 - 5096448*m**2 + 4023081*m + 9656172 = 0. What is m?\nAnswer: -12, -1, 3, 29803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = -2*w. What is the closest to w in 8, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 427, 3\/7, -11, 4, -1, 262, 2\/3 in increasing order.\nAnswer: -11, -1, 3\/7, 2\/3, 4, 262, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -244 and 368.7.\nAnswer: 124.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnmmmymmn. What is prob of sequence mmnn?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202272983 to the nearest integer?\nAnswer: 14222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 + 118*u - 39. Let i be a(-40). Calculate the highest common divisor of 5 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -67455269 divided by 5?\nAnswer: -67455269\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 794685919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28216, -39692, -51168, -62644, -74120, -85596?\nAnswer: -97072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2182, 2178, 2174, 2170, 2166?\n\"Answer: -4*k + 2186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o**2 - 1. What is n(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 5. Suppose -2*m + z = -4*m + 2, 0 = 4*m + a*z. What is the remainder when 4 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w + 4378*w**4 + 0*w + 9*w + 2*w**2 - 4377*w**4 as s*w + k*w**3 + r*w**4 + p + m*w**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -13, 3, 4, 0.2 in descending order.\nAnswer: 4, 3, 0.2, -0.2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 12 = -54. Let c(v) = v**3 + 15*v**2 + 8*v + 10. Is c(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2 + 6\/4). Let b = w + 3. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/9*7095\/1892?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -2)\/(-3*3). Let h = -9.17 - -0.17. Suppose -23*u = 57 + 58. What is the smallest value in b, u, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b**3 - 2*b**2 - 9*b + 5. Let y be o(3). What is y rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r - 2. Let h be q(-2). Let d = 1 + h. Let u = -13 + 13. Sort 2, u, d in increasing order.\nAnswer: u, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0*g + 0*g + (-1 - 1 + 1)*(-g + 2*g + g) + g - 5*g + 3*g + 0*g + 0*g - 2*g + g - 2*g + 0*g)*(9 - 18 - 7)*(-1 + 3 - 1).\nAnswer: 128*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 218221b8?\nAnswer: 218221b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 1.3. Let v = 155 - 461\/3. Let k = -3\/181 - -371\/543. Which is the third biggest value? (a) k (b) r (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-65*h**2 + 29*h**2 + h + 20*h**2 - 6)*(4*h**2 - 2*h**2 - h**2) - 2*h**4 - 3*h**4 + 0*h**4 as n*h**3 + k*h + t + p*h**4 + v*h**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)\/(b*b\/(b**(-2\/13)\/b)*b))\/((b*b**(-16\/7)*b*b*b)\/(b\/(b\/(b**1\/b)*b*b))))**(1\/31) assuming b is positive.\nAnswer: b**(-2057\/8463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 5659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 79*r**2 + 6*r + 13. What is the tens digit of b(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjy when three letters picked without replacement from {s: 3, y: 5, j: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 11:32 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s. Let o(f) = -550*f. Let i(v) = 33*v - 5. Let l(t) = -247*t + 38. Let m(u) = 38*i(u) + 5*l(u). Let c(n) = 88*m(n) + 3*o(n). Give c(w(a)).\nAnswer: -44*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yoo when three letters picked without replacement from yyyyoyyooyyy?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3214 > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 6. Let y(z) = -2*z**2 + 11. Let p(m) = 11*j(m) + 6*y(m). Let h(d) = -7*d**2 + d. Determine h(k) - 5*p(k).\nAnswer: -2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*a + 11*m, -2*m = 4*a + 7222 - 7210 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.9 (b) -4 (c) 6\/11 (d) -3\/2 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.12542km in meters?\nAnswer: 31125.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13868773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-16) + -3 + 1\/12. Which is the third biggest value? (a) f (b) -4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 - 71.34. Round k to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95747736?\nAnswer: 2, 3, 7, 569927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 648*z**3 - 651*z**3 - 4*z**2 + 4*z**2.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12989 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4\/3 - 26480*q**3\/3 + 425984*q**2 - 5121024*q.\nAnswer: -4*q*(q - 24)**2*(q + 6668)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*p**5 + 6*p**4 - p**3 + p**2 + 27805*p?\nAnswer: -1800*p**2 + 144*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 - 0) + (-9 - -10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/5*(-136)\/16. What is the highest common divisor of 289 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 648 and 310608?\nAnswer: 931824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 9 = -5*k. Let c(o) = -3*o - 2*o + 0*o. Let m(x) = 4*x. Let v(g) = g**2 - 4*g + 1. Let u be v(3). Give k*m(l) + u*c(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3\/2, 8, -38?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21630524*y**3 + 11461 + 1214*y - 4*y**2 + 4*y**2 + 21630523*y**3 wrt y?\nAnswer: -3*y**2 + 1214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -2)\/((-1)\/128). Let v(m) = -m**2 + 5*m + 2. Let c be v(6). Let y = c - -20. What is the greatest common factor of b and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9696628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-7)\/m*m)\/(m*m*m**3*m))\/((m\/m**(2\/5))\/m)**(-12))\/((m\/m**4)\/((m\/(m\/(m\/m**(-2\/9))))\/m*m))**(1\/11) assuming m is positive.\nAnswer: m**(-8126\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 8*g + 107. What is the tens digit of l(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 312 - 343 + 35 - 285*h to the form m*h + y and give m.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -283, -553, -811, -1051, -1267, -1453?\n\"Answer: o**3 - 277*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(68) + sqrt(68)*-1 - sqrt(68) - sqrt(17))**2.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5970111 divided by -8.\nAnswer: -5970111\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 4*t**2 - 4*t - 2. Let d be i(-2). Let h be (d\/30)\/((-1)\/5). List the prime factors of -7*h\/2*-2.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/11)*j**44)\/((j\/j**(-41))\/(j\/j**(-29))) assuming j is positive.\nAnswer: j**(351\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 u when four letters picked without replacement from ukuqqqquuauq.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 16 = -2*w, -m - 14 = -w - 4*m. Suppose 1 = -3*v - o + 3, -2*o - 4 = w*v. Suppose -5*d = 3*i - 88, 0*i = v*d + 3*i - 28. Solve d = -4*q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:55 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*w - 29 = 0, 5*o + 2*w = 90 - 14. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-10 - -18)) + -1 - -16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11405000521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*m**5 + 464688*m**4 - 1325248*m**3 - 1969920*m**2 - 606208*m = 0.\nAnswer: -4\/7, 0, 4, 2368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0694 and 0.13.\nAnswer: 0.009022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 74 = -f + 82, -3*i - 12 = 0. Let r(t) = -t**3 + t**2 + 8*t + 13. What is r(f)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -9*g + 56*g - 682 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 - 9*g - 11. Let l be h(5). Let o be (-4 + 2)\/(l\/15). Solve 4*a - 3 = 5*w + 12, 4*w = -o*a - 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 805*q**4\/6 - 118*q**2 + 1. Let w(p) = p**2. Calculate b(w(u)).\nAnswer: 3220*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.099758591 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -1\/360*y**5 + 0*y + 0*y**3 + 1\/144*y**4 + 0 - 9*y**2. Find f such that c(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 - 133*d - 61. Give t(-33).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1514\/130 + -11 - (-4)\/26\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y - 5*s = -6, 0 = 2*y - s - 17. Suppose f = -0*f - 2*l - y, -4*f - 16 = 5*l. Let v be -8 + 4 - (f + 5039995). Round v to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40599 and 9022?\nAnswer: 81198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 299552543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84181441\/15 or 5612095?\nAnswer: 5612095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/16*(13 - 1). Suppose 2*n - 4 = n. What is the derivative of 3*f**4 - r*f**2 - f**n + 2 + 6*f**2 wrt f?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8521186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336050924 and 2398.\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -6 + 11 + -4 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2935 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 9:37 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-32))\/(29\/71572). Is n less than or equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(54)\/sqrt(3) + sqrt(18))**2 + (sqrt(6)\/((sqrt(45)\/sqrt(3))\/sqrt(5)))**2.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101000001110100101100 (base 2) in base 13?\nAnswer: 2b59405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(1\/4))\/p)\/p)**(-37)*((p*p*p**(1\/3)\/p)\/p)\/p**7 assuming p is positive.\nAnswer: p**(475\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -412 and -47.\nAnswer: 19364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 2. Give b(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -322 + 33829\/105. Let n = h + -22\/15. Which is bigger: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165\/97 > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(175)*-2 - sqrt(175)) + 1 - (sqrt(175) + sqrt(175) + -5 + sqrt(175) + -2)) + 1 + 5)**2.\nAnswer: -720*sqrt(7) + 6444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 25.38. Let i = -0.02 - s. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 5*b**2 - 2*b + 1. Let m be i(-1). Put -5, 4, 2, m in descending order.\nAnswer: 4, 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -60*f. Let m(s) = -7*s**2 - 6. Let g(r) = -78*r**2 - 68. Let v(a) = -6*g(a) + 68*m(a). Determine v(o(c)).\nAnswer: -28800*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*z + 1106*z + 4623*z + 2366*z + 639*z to k + b*z and give b.\nAnswer: 8798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*6\/210*(-20)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -33056, 5.\nAnswer: -33056, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**7\/490 - 9*d**6\/70 + 177*d**5\/70 - 335*d**4\/14 + 1725*d**3\/14 - 151*d**2 + 9*d. Determine v so that m(v) = 0.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.25 or 619\/23?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + y - 159 = 6*d, 3*d + 3*y - 165 = 0. Let f = d - 49. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 47*d + 115 + 58*d - 91*d + 23*d. What is the tens digit of a(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t**3 - 207*t**2 - 312*t**2 + 443*t**2 in the form k*t**2 + r*t + u*t**3 + y and give k.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-216)\/378*4\/3*17\/816.\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 13*y + 95. Let d be v(-10). Does 11 divide (-1240)\/(-28) + 10\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 = 2*g - 3*g, 0 = -5*n - 3*g + 30. Suppose 0 = -2*q + n*q. Solve -8 = -q*s - 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven halves of a millennium?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -3 - -1 - 0) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -319\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 70b994?\nAnswer: 70b995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - sqrt(112)\/sqrt(36))\/sqrt(4) + 3.\nAnswer: 2*sqrt(7)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 1:46 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13164*w + 12633*w - 38448*w + 12622*w.\nAnswer: -29*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 340*d - 178. Let c be x(4). Suppose -382 = 4*q - c. Does 40 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*l**2 + 0*l**3 + 2*l**3 - 27*l**2.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**2 + 9*h - 186. Let y(g) = -11*g**2 - 16*g + 373. Let o(p) = -5*a(p) - 3*y(p). Differentiate o(k) with respect to k.\nAnswer: 16*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142754699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-8))\/((a**8\/a)\/a))\/(a**(-4)*a*a**1*a))**(6\/5) assuming a is positive.\nAnswer: a**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/13 + 199494*b**2\/13 - 4975031232*b\/13 + 14923298304\/13.\nAnswer: -2*(b - 49872)**2*(b - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 1\/12*u**4 - u**2 + 3*u + 0 - 1\/2*u**3. What is the units digit of m(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1454 divided by -6\nAnswer: 727\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2140*t + 10241 = -62519 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2030983, 4061968, 6092953, 8123938, 10154923, 12185908?\n\"Answer: 2030985*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 2*f - 1. Let a(s) = 3*s**2 + 6*s + 4. Determine -2*a(p) - 7*x(p).\nAnswer: p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16084 - 16091. Let h(s) = s**3 - 6*s + 12*s**2 - 19 - 5*s**2 - 5*s. Is 29 a factor of h(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146555132?\nAnswer: 2, 19, 643, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 942+23\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 37023.\nAnswer: 37023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 7*i**2 + 7*i + 1. Give r(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, c: 1, t: 10, n: 1, y: 3, o: 2}. Give prob of sequence tcoy.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7666577.\nAnswer: 2741, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -969*r**2 + 1112*r**3 - 59*r**3 + 2*r**4 + 1068*r**3 + 978*r**2 as z*r**4 + c*r**2 + m + p*r**3 + j*r and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17117 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12 - -9)\/((-6)\/5452). Let x be b - 4\/(-4)*-4. Suppose -i = i - x. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -207 + 213. What is the common denominator of 186\/252*(u - 7) and 19\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (14 + 19 - 19) + 27 + -2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 3:59 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48945376?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 12) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54832*j - 230 wrt j.\nAnswer: -54832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n - 282. Let i = n - -14944\/53. Let m = 2 + -2. Is m greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*p + 5286 - 7536 = 14*p - 58*p for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71310613, -142621225, -213931837, -285242449, -356553061?\nAnswer: -427863673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**3 + 5*z**2 - 17*z + 29. Calculate u(2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8*240\/90*16\/272.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r - 3*r)*(3*r**3 + 0*r**3 - 5*r**3) - 3*r**4 + 5*r**4 - 16*r**3 + 13*r**3.\nAnswer: 8*r**4 - 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.072 + 0.928. Let h = 35 + -39. Put m, h, 0.4 in ascending order.\nAnswer: h, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 - 9*z - 7. Let d be t(-4). Let v(k) = 66*k**4 + 69. Let b(s) = -s**4. Let g(m) = d*b(m) + v(m). Differentiate g(c) with respect to c.\nAnswer: 276*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35\/6*w**5 + 0 + 0*w + 0*w**2 - 55\/2*w**3 + 200\/3*w**4.\nAnswer: -5*w**3*(w - 11)*(7*w - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-40)*(-1 - 13)*-9. What is the greatest common divisor of 21 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 302?\nAnswer: -60.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 5540.6 to the nearest 100.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 8:53 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 9*r - 18.\nAnswer: -(r + 3)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence klk when three letters picked without replacement from lljjkjjklkj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*c + 16 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4845 + -4757. Calculate the highest common factor of 2332 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 82*y - 5. Let n(x) = -3*x + 1. Give -c(l) - 4*n(l).\nAnswer: -70*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 3:59 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0, -32, 3, -28, 5\/3?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 6. Let a = w + -12. Let o = a - -3. What is the third biggest value in 0.2, o, 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*a, 5*x + 33*a = 29*a + 492. Calculate the remainder when 959 is divided by x.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -37, 2, 0 in descending order.\nAnswer: 2, 0, -31, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 0*m + 8*m)*(-14 + 11 - 91*m**2 + 3).\nAnswer: -364*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 4*r + l, l = -52 + 49 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 = 47*u + 20*u - 243 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/(255\/50)*6\/4. What are the prime factors of (-321)\/(-6) + t\/(-10)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30622.\nAnswer: 2, 61, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 1052514800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (958 + 2615 + 1187)*(3*f**4 - 3*f**4 - 3*f**4) to j*f**3 + m*f + u*f**2 + q + h*f**4 and give h.\nAnswer: -14280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -291?\nAnswer: -1\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 take away -343.73?\nAnswer: 343.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 3*g - 13 = 0, 45*g - 46 + 3 = p + 48*g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + w + 8406 = -4*w, -10503 = -5*l + 4*w. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 + 2*j**2 + 4. Let s = 6883 - 6881. Give d(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 8:17 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 1 + 2 - 8*t - 2. Let b be i(8). Let k be 0 - (0 + 0)*b. Solve 2*v - 4 = -k*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59079667?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -68 (b) -4 (c) -17 (d) -1 (e) 2 (f) -10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -31*u - 1020. Let k be w(-33). Solve k*d + 8 = -5*m, -5*d = -2*m - 4 + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*a*l**3 - 16*a*l*w + 2*a*w**2 + 13*l**3*w**2 - 127*l**3*w - 2*l**3 + 4*l*w**2 wrt a.\nAnswer: 24*l**3 - 16*l*w + 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - (sqrt(350) + sqrt(350) + sqrt(350) + (sqrt(350)*-1 - sqrt(350)))\/sqrt(7))\/((sqrt(100) + -2*sqrt(100))\/sqrt(10) - sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 2788447?\nAnswer: -2788443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 + -120.1. Which is the nearest to o? (a) -2\/11 (b) -1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + q + q - 6 - q. Is 19 a factor of c(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -160\/59?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by -2 + (39 - 2) - (-4 + 10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0. Suppose n = -l + 6*l - 1140. Suppose -8*a + 4*a = -l. What is the remainder when a is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329050?\nAnswer: 2, 5, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 3:42 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150285864 by 552.\nAnswer: 272257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q + 1. Let z = -16 - -13. What is the tens digit of p(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1091 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0004 + 3.0004. Put u, -3, 2\/17, 2 in descending order.\nAnswer: u, 2, 2\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/(-4) + 2\/(-8). Let h(a) = 5*a + 17. Let v(q) = -4*q - 15. Let y(j) = -5*h(j) - 6*v(j). Let o be y(8). Put g, -5, o in ascending order.\nAnswer: -5, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54409*f**3 - f - 2706 wrt f.\nAnswer: -326454*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 2:40 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(1 - (1 - 1)). Let f(z) = -z**2 - 4*z - 3. Let u be f(-3). Let q = -16 - -19. Sort o, u, q.\nAnswer: o, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 217*u**3 - 11*u**2 - 16*u + 6. Let k(d) = 43*d**3 - 2*d**2 - 3*d + 1. What is 11*k(b) - 2*w(b)?\nAnswer: 39*b**3 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 34*x + 45. Let a be r(18). Suppose 0 = -2*y - 2*y + 4, -5*k - 2*y = -a. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -2*c**4\/21 - 23*c**3\/21 - 15*c**2\/7 + c - 2. Factor n(z).\nAnswer: -2*(z + 5)*(4*z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1521 - 311?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, z: 11}. Give prob of sequence xxx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, -4, 2\/33, -31 in decreasing order.\nAnswer: 2\/33, -0.1, -2, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/125 and 19\/375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 472610 (base 8) in base 11?\nAnswer: 10009a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*n + 10 - 34, -2*n - 2*r = -14. Suppose n = t - 1. What is g in -4*g**3 - 2*g**t + 5*g**3 - g**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122\/(-122)*260\/15*45\/105.\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4196786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/133)\/((-148)\/(-434084)) - 23?\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -196, -721, -1590, -2797, -4336, -6201, -8386?\n\"Answer: w**3 - 178*w**2 + 2*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) 2 (c) 3 (d) 14 (e) -2 (f) 25120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*c - 14. Let b = 23 + 29. What is the remainder when 0\/(-1) - (-1 - b) is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/5, -0.4, 135?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*w**2 + 2668 - 2668)*(-3*w**2 + 3*w**2 - 4*w**3) - 2*w**5 + 2*w**4 - 2*w**4.\nAnswer: -142*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*u + 35, -4*s - 3*u = -57. What is the remainder when 806 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(60)*-5)\/((sqrt(800)*2)\/(sqrt(10) - (sqrt(160)*6 - sqrt(10)))).\nAnswer: 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*n = -4*n - 112, 0 = 2*k + 3*n + 49. List the prime factors of (19944\/k)\/(-6) + 1\/(-5).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/28*70\/20?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 4 + 10. Let v be ((-3)\/m)\/(5\/(-10)). Suppose v*x + 4 - 22 = 0. Calculate the lowest common multiple of 2 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18457*b**3*i**2 + 866*b**3*i - 4*b**2*i wrt i.\nAnswer: -36914*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*s + 70*s = u - 297, 0 = -5*u + 2*s + 1366. Calculate the highest common factor of 276 and u.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-30)\/(-8))\/(10\/2280). What is the derivative of k*a - 855*a + 2 - 16*a**4 + 1 wrt a?\nAnswer: -64*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 201*s - 1511?\nAnswer: 201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 18*u - 5. Let n be (3 + 3)\/(4\/10). Let a be c(n). Suppose -a*j = -42*j + 18. Solve -5*g + 2 - 11 = 2*t, 3*t - j = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30 + -781e?\nAnswer: -77de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41415111*p**2 - 14436*p + 19601?\nAnswer: -82830222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 12:46 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 f when three letters picked without replacement from {r: 2, v: 4, f: 5, w: 7}?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 796 = 1392. What is the second derivative of -39*u**2 - 207*u + w*u - 228*u**2 wrt u?\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 16, -4 in descending order.\nAnswer: 16, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35.50057808 - -0.08849192. Let b = f + 0.34893. Let m = 36 - b. Round m to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -1.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 - 9*w + 10*w + 0*w with respect to w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 1, -56.\nAnswer: -56, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4716 and 917587404.\nAnswer: 4716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (8 + 15\/(-90)*50)*169\nAnswer: 100\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568123.\nAnswer: 17, 23, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**5 - 695*t**4 - 21755*t**3 + 207935*t**2 - 347850*t + 162360 = 0.\nAnswer: -33, 1, 6, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 3*a**2 + 5*a**2)*(22 - 8 - 15 - 23*a).\nAnswer: -46*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 13*m - 2406. Let b = m + -274. List the prime factors of b.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -6\/11, 2, 3\/14 in ascending order.\nAnswer: -6\/11, 3\/14, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386*n = 389*n. Let y(a) = 2*a**2 + 13*a - 21. Let b(o) = o**2 + 6*o - 10. Let t(z) = -13*b(z) + 6*y(z). Determine t(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.146 times -706\nAnswer: -1515.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-14)*237*-25. Let b = -840 + l. Calculate the common denominator of b and 13\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 260 - 246. Sort 2, 1, p, -3.\nAnswer: -3, 1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = 2. Suppose h*c - 8 = -0*c. What is the third derivative of b**6 - 2*b**6 + 2*b**c + b**2 wrt b?\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 17. Solve 6 = j*k - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2947 - -0.2947. Let w = 35 + -139\/4. What is the third smallest value in 0.4, w, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.245274 years in millennia?\nAnswer: 0.003245274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48782181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 268*s**2 - 16*s**4 + 23*s**3 + 149*s**3 - 1073 + 977 - 328*s = 0.\nAnswer: -2, -1\/4, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-79 + 14 - -5 - (1 + 4)) + 28 + -16.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 8*r**3 - r + 1. What is m(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y - 7*y + 12*y. Let z(r) = -35*r. What is t(z(h))?\nAnswer: -70*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 32, 46, 66, 92, 124?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/5 + 25548*u\/5 + 204192\/5.\nAnswer: 3*(u + 8)*(u + 8508)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2138635046 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.04 - 15. Let a = 3.36 - 3.9. Let k = n + a. What is k rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-4))\/(1\/(-2)). Let f = a - -1. Suppose 4*g - 19 = 4*o + 21, f*g + 3*o = 0. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2278 + 2845. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -120.31?\nAnswer: 12.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 - 2*p**5 + 0*p**2 + (1 + 0 - 2)*(0*p**5 - 3*p**5 + 4*p**5) - 5*p**5 - 4*p**5 + 3*p**5.\nAnswer: -9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 10*h - 4*h + n + 48 = 0, -5*n - 15 = 0 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + i + 1. Let h(u) = -182*u**2 + 182*u**2 - 16*u**3 - 9*u + 23*u + 14. Let b be -2 - (30\/(-6) + 7). Determine b*h(k) + 56*v(k).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - o**2 - 7*o - 5. Calculate the remainder when q(-6) is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3\/8, 0.1, 26, -0.493 in decreasing order.\nAnswer: 26, 0.1, -3\/8, -0.493, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 13 = -2*i - 5*x, 4*i + 5*x - 148 = 0. Let d = i + -19. What is the remainder when d is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1095, 1100, 1107, 1116, 1127, 1140, 1155?\nAnswer: 1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 - 3*t - 3*t + 26*t**3 - 11*t**3 - 16*t**3 + 4. What is the units digit of k(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, b: 5, v: 1, s: 5, g: 2, i: 2}. What is prob of sequence sqq?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + u**2 - 8*u + 23. Let p be n(8). Let j = -696 - p. Let d = j + 357. What is d rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**2 - 11*u - 19. Let q(j) = 5*j**2 - 12*j - 21. Let v(k) = 6*q(k) - 7*z(k). Let f(x) = 6*x**2 + 16*x + 22. Calculate -5*f(r) + 16*v(r).\nAnswer: 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 184 + 34)*(2*p**2 - 2*p**2 - p**5) + 2*p**5 - p**5 + 3*p**5 - p**5 + p**5 - 2*p**5 + (3*p**5 + 0*p**5 - 5*p**5)*(-3 + 1 + 0).\nAnswer: -176*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2283\/20 - -1149\/10. Let i = 1 + 2. Let j = i + -3. What is the nearest to j in g, 1\/6, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6297463?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 736, 1678, 2994, 4678, 6724, 9126?\nAnswer: 11878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 636230387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 474, 949, 1424, 1899?\nAnswer: 2374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 225, 854, 2141, 4320, 7625, 12290?\nAnswer: 18549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 201*x**4 - 30*x - 2 wrt x?\nAnswer: 2412*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(-44 - 183 - 42)*(3 - 1 - 1)*(-f**4 - 2*f**4 + 5*f**4) in the form u*f + a*f**3 + k*f**2 + z + g*f**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -10*l + 5. Let v be j(2). Let u = -28 - -44. Let y = u + v. Is y at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 73. Let d(r) = -2*r**2 + 2*r. Let m(y) = 17*y**2 - 16*y. Let l(k) = 8*d(k) + m(k). Determine l(q(w)).\nAnswer: 4*w**2 + 292*w + 5329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1737 + -1073. Suppose -18*q + m + 5276 = 0. Does 36 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 70.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0246 less than 10.6419?\nAnswer: 10.6173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1341*o + 1340*o - 2 - 3 - 22.\nAnswer: -o - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 11 + -14 - -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-36) + -10*6\/(-27). Solve 0 = d*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*n = 5038 + 6446 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**3 + 5*u**2 + 6*u. Let m(f) be the first derivative of -f**4\/2 - 2*f**3 - 7*f**2\/2 - 20. What is -4*m(v) - 5*y(v)?\nAnswer: -2*v**3 - v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p - 4889 + 4889.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -99*h + 93*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u + 9. Let v(x) = -x**3 - 10*x**2 - 9*x - 3. Let d be v(-9). What is the lowest common multiple of 11 and s(d)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1866865 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.468 * 0.2.\nAnswer: -1.8936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15689542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2212763005492627 and 3.\nAnswer: -2212763005492624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/9)\/(1\/(-24)). Let d be ((-60)\/45)\/(2\/(-30)). Suppose -26*k = -25*k - d. Solve y*o = 3*o + k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 404 - 146. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 167701 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**3 - 4*u**2 + 6*u. Let m(q) = -q**2. What is -4*m(v) + x(v)?\nAnswer: -3*v**3 + 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.5, 132, 27?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/8 - 2303165*q + 10609138034450 = 0.\nAnswer: 9212660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -2 + 8\/(-2). Let f = t - -11. Let x = 2 + f. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -30. Let r be -1 + -1 + f\/18. Suppose -4*k = 4*n - 1216 + 1228, -n - 6 = 4*k. Which is bigger: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.7 - 10.17. Let l = y - 0.5. Let c = l + -0.030046. Round c to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7772 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 4 - 94 - 43)*(-h - 3*h + 7*h).\nAnswer: -522*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Let v(r) = 314*r**2 + 32. What is v(f(l))?\nAnswer: 314*l**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3.32, 4, 89, -4, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9393241l to millilitres.\nAnswer: 939.3241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(54\/(-12))\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 462666?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/4830 and -83\/54740?\nAnswer: 164220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -331030 (base 4) in base 9?\nAnswer: -5331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**4\/12 + s**3\/6 - s**2 + 156*s. Let p(t) = 5*t**2 - 3*t - 15. Let i(g) = -6*c(g) + p(g). Give i(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16238 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*t - 163 = -44*t - 7*a, 4*a + 9 - 13 = 0 for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by -29.\nAnswer: 82\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/12*(-58 - -52).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slrlhddhdsvl. Give prob of sequence rvss.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l + 26. Let f be t(14). Let p = 0.3 - 0.1. Which is bigger: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 + -0.01. Let b = 2193 + -2189. What is the nearest to -0.2 in 0.3, b, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) - sqrt(6))\/sqrt(3))**2 - sqrt(8)\/(sqrt(24)\/sqrt(6)).\nAnswer: -sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19414 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 times -0.5?\nAnswer: 102.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = -8, 0 = s + 4*q - 71. List the prime factors of s.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7004 divided by 3502?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 23 = 4*o - k, 12 = 2*o - k. Let a(x) = 2*x**2 + 3*x + 4. Let p be a(-3). Let v = p - 5. Solve 0 = -o*b + 2*b - 4*d - 4, -v = 2*b + 4*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 6*f - 46, 3436*q - 15 = 3432*q + f. Let v be 1 - 3 - (-24)\/11. Put 2\/13, q, v in increasing order.\nAnswer: 2\/13, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - 18*d + 93. Calculate p(6).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 126. Let l(u) = -3. Determine d(v) - 2*l(v).\nAnswer: -2*v + 132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1544, 1545, 1542, 1535, 1524, 1509?\nAnswer: 1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213198 = -5*k - 8*y, -8*k = -4*k + 5*y - 170564. What are the prime factors of k?\nAnswer: 2, 21323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 57732460?\nAnswer: 519592140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22006 - 22006.024442. What is l rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + (10 + -3 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q**2 - 2*q**2 - 2*q + q. Let z be 10\/4*(-16)\/20 + 3. Determine a(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x - 8. Let t(u) = -6*u - 7. Let q = 523 + -518. Give q*b(r) - 6*t(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -451 in 5, -13\/57, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*k**2 + 452*k?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**4 - 24*a**3 - 75*a**2 + 132*a + 180 = 0.\nAnswer: -3, -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) 151 (c) -0.2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 462753 and 2958.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 10:51 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*q + 7557, 3*q - 3*i - 4535 = -4*i. Suppose -7*m + 4*m + q = 3*n, 0 = 4*n - 2*m - 1986. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l. Suppose -5*d = 4*w - 72, w - 10 - 5 = -d. Suppose d*a = -25 + 1. Calculate m(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rakdaakajdajnkakja. What is prob of picking 3 j?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**10\/r*r*r**(-8\/5))\/((r\/(r*r**(-8\/5))*r)\/(r**15*r*r*r)))**(1\/13) assuming r is positive.\nAnswer: r**(124\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -21220111?\nAnswer: -21220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 584 = -x, 0*x + 2*x = 2*z - 1162. Let m = 61 - 21. Let d = x - m. Round d to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b - 34 = 26. Let t be 17 + 18\/(-2) - b*1. Solve 6*i - t = -6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmxxxxmmuxxxxxxmmx.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85289798?\nAnswer: 2, 11, 439, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/67607, -0.7, -1, -2\/3, 0, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 10:29 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 196\/3737 or 594?\nAnswer: 594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -31\/7, 83, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*y + 16, y + 12 = -2*y - 3*m. Let n(g) = g**3 + 3*g**2 - 4*g - 5. Let d be n(-4). Suppose -14 = 4*s - 2. Sort y, d, s in ascending order.\nAnswer: d, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 4*v - 49 = 3*z, -4*z - v - 61 = 0. Suppose n + 0 = -2. Let r be ((z + -1)\/2)\/n. Solve m + r = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7 = 3*d, p + 0*p = -5*d - 16. Let y(v) = -4*v**2 - 19*v + 62. Let u be y(4). Let n = -75 - u. Which is the closest to -6? (a) -1 (b) n (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199797093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y = -4. Let f(o) = -2 + y - 5*o**2. Let t(c) = -2*c. Calculate f(t(p)).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5387)\/518 - 0 - -2. Let y = 19\/74 + m. Find the common denominator of (9\/6 - -1)*131\/15 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 1\/120*s**6 + 0*s - 1\/36*s**5 + 1\/126*s**7 + 0*s**3 + 1\/72*s**4 + 0 - s**2 - 1\/252*s**8. Solve n(t) = 0 for t.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*z + 22 = 217 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21647 - -24507. What is the remainder when b is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 2. Suppose 2*l = 5*l. Let u be (l*x\/6)\/(-1). Solve u = -3*v - 0*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00113099 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*f + 35, -23 = -c - 0*c + 4*f. Solve -d - c*d = 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2278669339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 121814228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*t + 5 + 5, 3*j + 5*t = -35. Let r(f) = -f**2 + f - 1. Let b(d) = 4*d**2 - 4*d + 5. Determine j*r(l) - b(l).\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0.5, -3, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - 2*c**2 + 2*c**2)*(3*c**3 - 3*c**3 + 2*c**3) + (-3*c**3 + 3*c**3 - 2*c**5)*(4 - 2 - 3) - 7*c**5 + 2*c**5 + 0*c**5.\nAnswer: -7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/7*41\/123.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -10*w - 20. Let u be q(-9). Suppose -2*y + 74 - u = 0. Suppose -3*t + 3115 = y*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18492*i + 18403 wrt i?\nAnswer: -18492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 12962149?\nAnswer: -3\/12962149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilometer in centimeters?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -46 - 106. Let n be z\/(-18) - 4\/18. What is the units digit of 2\/n + 102\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11357 divided by 2\nAnswer: 11357\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 93699\/14 at least as big as 6694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -5. Let q be (12\/(-18))\/(g\/6). Let l(j) = -j**3 + 3*j**2 + 2*j - 2. Let v be l(-2). Calculate the highest common factor of v and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7530 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1872) + 0)*-3)**2.\nAnswer: 421200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 - -75 - 13 - (1 + 8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 38. Factor -4*d - 16*d**2 - w*d**3 + 65 - 65.\nAnswer: -4*d*(d + 1)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*w**5 + 76*w wrt w.\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21950818 rounded to two decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + o + 121, 22*o = 17*o + 15. What is the remainder when j is divided by 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**4 + 15*q**3 - 21*q**2 - 15*q + 22. Let o(b) = 24*b**4 + 120*b**3 - 168*b**2 - 120*b + 177. Let t(v) = -33*j(v) + 4*o(v). Solve t(l) = 0 for l.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 - 9*k + 9. Let m(z) = z**2 - 4*z + 4. Let y(d) = 9*m(d) - 4*r(d). Let v(t) = 44*t - 2. Determine y(v(g)).\nAnswer: 1936*g**2 - 176*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -20*x - 2. Let y(f) be the second derivative of -10*f**3\/3 - f**2 + 303*f. Give 3*v(l) - 2*y(l).\nAnswer: -20*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 + -5)\/((-3)\/(-1 + 3436))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16912.83 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 465783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 56*n + 51*n + 37, -2*c - 10 = -2*n. Calculate the least common multiple of c and 1678.\nAnswer: 5034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/7453 and -41\/5414733?\nAnswer: 157027257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -32785 - -3\nAnswer: -32782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 68\/(-18) - (1 + (-5)\/1). Which is the second biggest value? (a) r (b) 1\/7 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78742 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -3227?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(14\/12 + 1\/3). Let 0*y + 2*y**5 - 1\/2 + 10*y**3 + 15\/2*y**4 + 5*y**p = 0. Calculate y.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 2. Let u = -1 - b. Let c(t) = t**3 - 4*t**2 + 3*t + 1. Determine c(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153274817 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5321962491 and 0.3.\nAnswer: 5321962491.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 13. What is the second derivative of 5*t**s - 16 + 16 + 4*t wrt t?\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 120473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2\/5 - 1252*z\/5 + 22344\/5.\nAnswer: 4*(z - 294)*(z - 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*v**3 - 2*v**2 + 18*v**3 - 26*v**3 - 2 - 5*v**3 - 3 + 103*v in the form q*v**3 + p*v**2 + k*v + h and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8\/7, -4, -3 in decreasing order.\nAnswer: 8\/7, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 28 = 3*r - 4, -4 = o + 2*r. Solve o*n = 2*n - 3*b, -4*n = 3*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2\/475 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/8 and ((-505)\/(-75))\/((-2)\/5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 6*d**2 + 5*d - 24. What is the least common multiple of 186 and p(6)?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3824 is divided by 78?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 80506787 and 80506791 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f. Let q(u) be the second derivative of -2*u**3\/3 + 503*u**2\/2 - 37*u - 5. Give q(r(d)).\nAnswer: 8*d + 503","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + l - 37 = 0, 0 = -2*s + 6*l - 2*l + 32. Find w, given that s*w**2 - 21*w**4 + 3*w**2 + w**3 + 5*w**3 - 6*w = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-7) - 316\/7. Let a = -2 - l. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81866 is divided by 2099.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t\/((t**(-2)\/t)\/t)))\/t*t)**20\/(t**11\/t**(-8)))**(-1\/13) assuming t is positive.\nAnswer: t**(79\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 2.289?\nAnswer: -6.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61382017 + 61382020.78948215. Let g = u + -1.7894823. Let h = g + -2. What is h rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 10*q = 66. Let a = -58 + q. Let f(h) = -h - 5. Determine f(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -q + 1. Suppose -41*v = -47*v + 2106. What is the greatest common divisor of q and v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 6:06 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644*h + 283*h + 298*h + 1008 = 0 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/414 and -67\/69.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + -15b?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-1) - (-1764)\/(-210).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11815, -11819, -11825, -11833?\n\"Answer: -p**2 - p - 11813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*w + 60. Solve w = 2*p + 3*i, -7*p - 2*i = -2*p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2013 + -268. List the prime factors of g.\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - c**2 + 7*c - 1. Let w(z) = -155*z**3 - 5*z**2 + 328*z - 5. Let f(h) = -10*d(h) + 2*w(h). Find the second derivative of f(v) wrt v.\nAnswer: -1800*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 5.3. Suppose -39*q + 44*q + 5*h = -5, 0 = 4*h + 8. What is the closest to q in o, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 297 and 15345?\nAnswer: 46035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -321.\nAnswer: -321, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2 - 2 - (6 + -15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 53 = -t - 794, -1859 = -5*p - 4*t. What is p rounded to the nearest 10?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -48*(3 - 2\/(-4)). Let c = i + 170. Let f(v) = -6*v**3 + 2*v. Let q(u) = 7*u**3 - 3*u. Let a(k) = 5*f(k) + 4*q(k). What is a(c)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**2*n**3*x + 2*d**2*n**3 + d*n**3*x - n**3*x + 16*n*x + 1 wrt d.\nAnswer: 4*d*n**3*x + 4*d*n**3 + n**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.38781402 rounded to zero dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 5*w - 2*w)*(0*w**4 + 0*w**4 - w**4) + 3*w**2 - w**5 + 0*w**2 - w**5.\nAnswer: -w**5 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41413 is divided by 796.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -101379 to the nearest 100.\nAnswer: -101400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 4483 = -11*z - 3*x, -5*z = x - 4481. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 75, 151, 227, 303, 379?\n\"Answer: 76*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1\/7, 1, 4, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 23*z + 4*z**4 + 0*z**4 + 0 + 2*z as k*z + f*z**4 + x + y*z**3 + v*z**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:28 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 2*v, -2*v - 2*w - w + 8*w - 4 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 4*o - 4*a - 116, 0 = 2*o - 4*a - 138. Suppose -43 = 5*i - o. Suppose i*s = -s + 10. Solve 0 + 4 = s*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3185*a + 3178*a + 124*a**2 - 6363*a.\nAnswer: 124*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 5*c = -d + 28, 5*d - c = 88. Suppose 4*n - 5*n - d = 0. What is the units digit of (1 - 6)*n\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04497 and -1.25?\nAnswer: -0.0562125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178067 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24514 or -196107\/8?\nAnswer: -24514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3162482780\/10065 - (-2)\/33 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 7:35 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.19 and 1.882?\nAnswer: 0.35758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -123*g + 52*g + 235 + 759 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*i**4 - 10*i**3 + 9*i**2 - i wrt i.\nAnswer: -144*i - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3528180 is divided by 467?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**5\/60 + 5*a**4\/8 - 19*a**3\/6 - 36*a**2. List the prime factors of v(9).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l**6 + 369*l**4 + 1575*l**3 - 13831*l**2 - 348*l wrt l?\nAnswer: 600*l**3 + 8856*l + 9450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 543\/52 - -173\/13. Let l = 26948 + -1347507\/50. Calculate the common denominator of l and d.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - w - 7. Let x be k(4). Is 5*5 + (3 - x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**3 + 2. Let w(r) = 32*r + 40. Let t(a) = -36*a - 48. Let l(q) = -5*t(q) - 6*w(q). Determine l(y(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2832984749 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/7))**(-22)*f**4\/(f**(-5)\/f) assuming f is positive.\nAnswer: f**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -91 times 1.35\nAnswer: -122.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**2 + 2*z - 2. Let a be t(1). Let l = a + 9. Suppose 0 = 5*p + l*b - 140, 4*p - 161 = -3*b - 49. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 10, r: 2}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2186952 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.22, 879\/517, 0.1 in decreasing order.\nAnswer: 879\/517, 0.1, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 10 = -2*v, 0*v - 3*v = -5*g - 15. Solve 3*n + 9 + g = 0, -n + 9 = 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5 + 246*k**4 + 3063*k**3 + 14484*k**2 + 27984*k + 16320 = 0 for k.\nAnswer: -68, -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9584 by 11997.\nAnswer: 9584\/11997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (13 - (-8 - -17 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/5322 and -28\/11531.\nAnswer: 69186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 - 1049 = -16971*f + 16881*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(4\/10*(-195)\/364).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3 - m - 1\/3*m**2 = 0 for m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 12*w**5 - 32*w**4 + 4*w**3 + 32*w**2 - 16*w = 0.\nAnswer: -1, 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 7. What is the highest common divisor of 88 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k**2 + k + 2. Let s be l(2). Suppose -172 + s = -4*v. What is the tens digit of (-3)\/(v\/(-15))*8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 729, 2328, 5441, 10572, 18225, 28904?\nAnswer: 43113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*r + 12, 5*f + 3*r - 2*r = -8. Let h(i) = 16*i + 1. Let a be h(f). Let d = a + 25. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k. Let v be 2\/((-1)\/(-6)*-2). Let d be (-32)\/(-12)*v\/(-4). Let x(n) = 1 - 2*n - 5 + d. Determine c(x(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/81)\/((-196)\/(-147)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*m*x**3 + 46838*m*x**2 - 8*m*x - 459018*x**3 wrt m?\nAnswer: -13*x**3 + 46838*x**2 - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/2660)\/(8\/(-266620)). Let v = x + -358\/7. Calculate the common denominator of 99\/8 and v.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*p + 10. Let t be p + 13 + (-1 - 2). Suppose -5*c - 3 = q, t*q + 4*c + 3 = 7. Solve z + 4 - q = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/337 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8695 - -21430. Suppose -j = -4*q - 1191. What is the least common multiple of q\/143 + (-4)\/22 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -287565, -0.9, 5 in decreasing order.\nAnswer: 5, -0.9, -1, -287565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 198?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*4\/7)\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17781 - 3*b**5 + 7*b**5 - 160*b**4 - 10504*b**2 + 4913*b - 181*b + 2176*b**3 - 205.\nAnswer: 4*(b - 13)**3*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*(h*h\/h**(-2\/13))\/h)\/h**(-5)*(h\/h**(-10\/7))\/h**(24\/11) assuming h is positive.\nAnswer: h**(8409\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102712345 and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 465215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*j - 0. Solve j = -h - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/5 (b) 41 (c) -1 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -18*m**4 - 42*m**2 - 40*m - 32*m**2 - 46*m**3 - 8 - 14*m**3 = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/((-11)\/374). Let h(t) = 5*t. Let n(f) = -7*f + 1. Let r(m) = 1. Let c(z) = -2*n(z) + 2*r(z). Give p*h(j) + 6*c(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 2, -681, 4, 3, -21 in decreasing order.\nAnswer: 84, 4, 3, 2, -21, -681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*m**3 - 21377 + 8055 - 72*m**3 - 5044.\nAnswer: 2*m**3 - 18366","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 13 = 43. Let s(r) = r**3 + 12 - 2*r**2 - 18*r**2 + 8*r + k*r**2. Let o be s(9). Solve 7 + o = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 5*k - 10 = 0, -3*x = 204*k - 207*k - 27 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -0.066 (c) -0.29 (d) -14.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 939 + 3*v + 12*v + 7*v**3 - 72*v + 48*v wrt v.\nAnswer: 21*v**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81159.44ug to nanograms.\nAnswer: 81159440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 83*c**3 - 4*c**2 - c + 14. Let l be j(8). Let k = l + 37754. Round k to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 65, 74, 83?\n\"Answer: 9*t + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -7. Let q(r) = -4*r**2 + 4. Let t(f) = 7 - 2*f**3 - 8*f**3 - 15*f**2 + 15*f**3 - 6*f**3 + 8*f**2. Calculate g*q(h) + 4*t(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -376.0527 + 0.0527. Let u = z - -377. What is the third biggest value in -7, u, -3\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 6*n**2 - n + 8. Suppose 15 = 3*d, 5*d = j + 16 + 15. Determine h(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -733 = 3*l + 2*r, -2*l - 3*r - 478 = -7*r. Let n = -1943\/8 - l. Which is the nearest to 1? (a) 2\/11 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379464833 > 379464832?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -30*h - 6. Calculate the remainder when a(-3) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + 0 - -695) + 57 + -61.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20261074.\nAnswer: 2, 10130537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*l**5 + 1 + (2*l**2 - 3*l**2 + 2*l**2)*(-l**3 - l**3 + 3*l**3) + l**5 - 4*l**5 + l**5 + 867*l**4 - 722*l**4 - 2*l**5 + 904*l**4.\nAnswer: -l**5 + 1049*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 6:46 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 5*l + 0*l)*(-3 + 1 + 0 + 0 - 1 + 0 + 2 + 4 - 5 + (3 + 2 - 3)*(0 - 1 - 1)).\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**4 + 2*b**3 - b**3 - b + 3*b**3 + 2*b + 2 + 2*b**2 to d*b**4 + t*b + o*b**2 + l + i*b**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*g = -14, n - 14 = 2*n - 4*g. Suppose -3*s = 3*z - 18, -4*z + n*s - 10 = -4. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9346*x + 425*x**2 + 9346*x)*(-x + 0*x - 2*x) to a*x**2 + u*x + y + d*x**3 and give d.\nAnswer: -1275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 41, -22, 5 in descending order.\nAnswer: 41, 10, 5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790*u - 669*u - 103589 = 0 for u.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -8 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/144 and -109\/120.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - v**2 + 4*v - 1. What is r(3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 287\/2583 - 273\/1971.\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8646 by -2.\nAnswer: -4323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 23*a + 244. Give i(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -39*s**4\/4 + 45*s**2\/2 - 2*s - 53. What is the derivative of q(a) wrt a?\nAnswer: -234*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*o + 1 + 0 + 0 - 2*o + (5 - 5 - o)*(-1 - 2 + 4))*(30*o**4 - 90*o**4 + 33*o**4).\nAnswer: 27*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 30*s**2 + 26*s - 4. Let u be j(-28). Suppose 0 = -2*k - 264 + u. What are the prime factors of k?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.035 - -0.045. What is the nearest to -2\/3 in 0, i, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**2 - 40*q + 3. Let o be j(8). Suppose 9*m = -3*p + 13*m + 87, o*p = -5*m + 114. Calculate the lowest common multiple of 12 and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.487697 to 2 decimal places.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (0 + 0) - -6. Let j = 0.25 - 0.2. Let i = -0.45 + j. Sort i, b, -1.\nAnswer: -1, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttxttyjtlkxx. What is prob of picking 1 j and 1 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 11:12 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*a - 7 = 0, 0*a + 2*a - 4 = k. Solve 0 = -2*i - 3*r + 1, 6*i = k*i - 2*r + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s + 12. Let h(c) = -6*c + 17. Let a(t) = -2*h(t) + 3*q(t). What is a(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32069267 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let d be g(0). Let h = d + 0. Suppose h*w - 4 = -4*w. Solve o + w = 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 s, and 1 f when four letters picked without replacement from {t: 4, f: 1, s: 2}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538416 is divided by 856?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -18*o + 156. Let i(j) = 2*j - 18. Let l(a) = -26*i(a) - 3*z(a). Let y(d) = -1572*d**2. Determine l(y(c)).\nAnswer: -3144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11456 - -16214. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2874.\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*g = -15, -2*u = 4*g - 14 - 6. What is the remainder when 29 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*x - 874 = 0, q + 33*x - 30*x = 306. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 21857?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 21 + -24 + 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1)*(-14)\/(-28)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 0. Let x = 376\/39 + -78401\/78. Let k = 996 + x. Which is the nearest to -1? (a) k (b) -0.7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 10 = 7*a, -5*a + 24 = r. Suppose r*q + 12 = 18*q. Let f(n) = -3*n + 1. Give f(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c, 2*m + c + 2 = 2*c. Calculate the smallest common multiple of 10 - m*6\/(-3) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 8*i**2 - 33*i - 1. Let m be p(11). What is the hundreds digit of (938\/2 - 6) + m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmumtta. Give prob of picking 1 m and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven fifths of a century?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9731 = -149*o - 151*o + 57*o - 20*o for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 40008004 to the nearest one hundred thousand.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26*(4\/(-9))\/(14\/(-63))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2779 + 1?\nAnswer: 2780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190276, 380605, 570924, 761227, 951508, 1141761, 1331980?\nAnswer: 1522159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 234829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 23*t**2 - 79*t - 19. Calculate h(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 76) + 9 + 0 + (3 - -9 - 5).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 + 20*h**2 + 85*h - 1149. Determine c(9).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/3))**(-27)*g**(-12)*(g\/(g\/(g*g**(-9))))\/g*g assuming g is positive.\nAnswer: g**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + g**2 - g**2 + g**3. Let r(i) = -4*i**3 - 5*i**2 - 2*i + 3. Let t be -19 + (37 - -3) + -16. Determine t*u(k) + r(k).\nAnswer: k**3 - 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(4\/13)*y*y)**40\/(y\/(y*y**(2\/25))*y**(-19)\/y) assuming y is positive.\nAnswer: y**(49526\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -488*f**5 + 11*f**2\/2 - 27*f + 67. What is the second derivative of c(v) wrt v?\nAnswer: -29280*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 13*f**6\/45 - 28*f**5\/25 + 8*f**4\/5 - 44*f**3\/45 + f**2\/5 - 400. Factor q(u).\nAnswer: 2*u*(u - 1)**3*(13*u - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 20*c**2 + 19*c + 6. Let d be o(-17). Let i be (d\/(-6))\/(-8) + 5. Is -19 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8\/71, -5, -2\/3, 3\/34, 0.2?\nAnswer: 8\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10688355 divided by -23085?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13468)\/2040402 - (-73)\/(-4242)?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 81.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*c - 5 + 5)*(2*c**4 + 4*c - 4*c).\nAnswer: 26*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2278 and 102.\nAnswer: 6834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.97, -5, -3 in decreasing order.\nAnswer: 0.97, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8174 - -4?\nAnswer: -8170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 928?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -8 (c) 25 (d) -2 (e) 150 (f) 2\/37\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -951270.421 rounded to the nearest 10000?\nAnswer: -950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p + 228 - 42*p - 95 + 67*p - 133.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1 + (2 + 1 - 2)*(4 - 6 + 1) - 1 - 2 - 2)*(-3 + 2 + 2)*(q + 0*q + q).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 12:39 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.4, 20, -1\/2, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**4 + 0*i**4 + 6*i**4 + (0*i**3 + 2*i**3 - i**3)*(i - 1 + 1) - 4*i**4 + 6*i**4 - 4*i**4 to the form s*i**2 + w*i**4 + o*i**3 + h + l*i and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1145 - 397. Suppose 6*p = 23*p - x. What is the highest common factor of 440 and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swv. What is prob of sequence sw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(1 - -2))\/(62\/(-124)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + -173c96?\nAnswer: -173c89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*l - 15 = 0. Let i be (10 - 1)\/((-3)\/(-12)). Suppose -n - l*n = -i. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 2432?\nAnswer: -12160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 429 and 715?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-12)*(-15)\/7.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -481, -532, -609, -706, -817?\nAnswer: -936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o = -13. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from fyfyyyy.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**3*v**2 - 154*b**3*v + 52*v**2 wrt v.\nAnswer: 6*b**3 + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - -73. Suppose 3*g - 4*f = -5*f + d, 2*g + 4*f = 70. Let i = 36 - g. What is the highest common factor of 24 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(4)*3)\/(sqrt(96) - -1*sqrt(96)))**2.\nAnswer: 9\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-2))\/g**(4\/7))\/(g**0*g*g**(2\/9)\/g*g)*((g**0)**(-1\/63))**(-44\/7) assuming g is positive.\nAnswer: g**(139\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -16*q**2 + q. Let m be t(-1). Let l = m - -39. Let o = l - -15. List the prime factors of o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -554700*s**3 - 3325620*s**2 + 15477*s - 18.\nAnswer: -3*(s + 6)*(430*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14290548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**5\/3 - 14*p**4\/3 - 32*p**3\/3 - 2*p**2\/3 + 31*p\/3 + 16\/3 = 0?\nAnswer: -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(76) - (-5*(sqrt(76)*-1 + sqrt(76)) + sqrt(76)))\/(sqrt(32)\/(sqrt(8)*2)) + (-2*sqrt(76)*-5)\/(sqrt(4) + 1*sqrt(64)).\nAnswer: -4 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**16)**45 assuming w is positive.\nAnswer: w**720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 948977\/30 + -31627. Calculate the common denominator of (-26)\/(-1950)*-70*((-510)\/16)\/3 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**18)**(-36) assuming b is positive.\nAnswer: b**(-648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6182979ug to nanograms.\nAnswer: 618.2979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40256 + 28093. Let d = 4963 + c. What is d rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.3962 to the nearest integer.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4 - 5 = 0. Suppose 2 - 14 = -h*u. Suppose -3*g + 2*c = -41, 3*c + 5 = -g + u. Does 11 = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160) - (3*sqrt(2160) - sqrt(2160)))\/(-6*sqrt(10)\/sqrt(2)) + -1.\nAnswer: -1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(832) + -1)*3.\nAnswer: 6 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 21*t + 77. Let m(s) = 8*s + 19. Give 5*h(p) - 21*m(p).\nAnswer: -63*p - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68278 + 153847 = 77*w + 2081*w - 117283 for w.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7626 (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 6*n**2 - 2*n - 7. Let r be z(-6). Let f be ((-2)\/(-2))\/(6\/(-24)) + 6. Suppose -39 = f*a - r*a. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 714, 1802, 3600, 6096, 9278, 13134?\nAnswer: 17652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-32))\/((((-2)\/2)\/16)\/(234\/(-1989))).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-32)\/(-6)*2. What is the highest common factor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 8*n - 5. Let c be r(-5). Let y be (4 + -3)\/(2\/c). Suppose 0*x - y*x = 0. Solve 2*h - 3*h - 3 = x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455535 is divided by 9295?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)*r*r*r**6*r*(r\/(r**(-1)\/r))**(1\/17)*(r**(-1)*(r*r**(-4\/3)\/r)\/r)\/(r**(-1\/12)\/r**(3\/11)) assuming r is positive.\nAnswer: r**(897\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 602 + -601. What is the nearest to -0.1 in 1\/4, 5, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 66*w**2. Let s(d) = 171*d**2 + 457. Determine s(k(f)).\nAnswer: 744876*f**4 + 457","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2 + 5*d + 3. Let w(p) = 4*p - 1. Let s(k) = 3*k - 1. Let f(h) = -5*s(h) + 4*w(h). What is b(u) - 3*f(u)?\nAnswer: -3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-70)\/(-45))\/((-2)\/(-9)). Calculate the highest common divisor of 112 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u**2 - 65*u + 21. Let z be p(9). Let q(a) = 8*a - 11. Let i(h) = -16*h + 21. Let w(v) = 4*i(v) + 9*q(v). What are the prime factors of w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/7 and -41\/16943.\nAnswer: 118601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 13500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.27 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 + -2.03. Let n = -4 + 4.3. Let g = 1 + 0. Which is the closest to g? (a) 2 (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c**2 + 8*c - 11. Let n(f) = 2*f**2 + 3*f - 4. Let g(r) = r**2 + 29*r - 22. Let l be g(-30). Calculate l*n(p) - 3*s(p).\nAnswer: -2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxxxxxxrr.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2. Let h be ((-1)\/(-4))\/((-2)\/(-216)). Let b(r) = h*r + 25*r - 52*r + 22*r**2. Give m(b(t)).\nAnswer: -1936*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*g**2 - 15*g**2 + 53*g**2 + 58*g**2.\nAnswer: 161*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 3*g + 1. Let u be p(2). Let b be (-2)\/(-6) - 2\/6. Let a be (b\/4)\/(1 - 2). Solve -2*h - 1 - u = a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*y - 22, 2*w - 28 = -5*y. Solve -4 = 13*x - w*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2022 and -0.5.\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*s = -2048. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l + 4. Let f be n(-4). Let w(x) = -x**3 + 12*x**2 - x + 12. Let p be w(f). Let u = 78 - 236\/3. Which is the nearest to p? (a) -5\/2 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4410 and 40.\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59107 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 1 - 13, -2*l = 4*i + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 + (5 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-368)\/24)\/2 + 7)*-1977?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1913 + -11533\/6. What is the common denominator of -17\/14 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(204)*-2*3*2)\/(-2*(sqrt(120)\/sqrt(250) - 1*sqrt(48))))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -205, -320, -435?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2166, -2115, -2064, -2013, -1962?\n\"Answer: 51*p - 2217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(6\/11)\/((o*o**(1\/3))\/o*o))**50 assuming o is positive.\nAnswer: o**(-1300\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-24)\/m)\/(m*m**38*m))**(6\/5))**(-2\/5))**(-29) assuming m is positive.\nAnswer: m**(-4524\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**4 + 5*y**4 - 5*y**4 + (-y - 2 + 2)*(-6*y**3 + 4*y**3 + 4*y**3) - 12*y**4 + 9*y**4 + 43*y**4 as p*y**2 + q*y + l*y**4 + x + a*y**3 and give l.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6*(-4 - -1). Let f(x) = 6*x**2 - 4*x + 3. Is 13 a factor of f(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16*-163\nAnswer: 26.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -516 + 533. Let m be (-20)\/5 - (-70)\/j. Which is the third smallest value? (a) -1\/8 (b) -5 (c) m (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 129?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2102.\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -1 - 10. Suppose -a*t = -79 + 24. Let v(i) = i + 8. Calculate the remainder when t is divided by v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + (sqrt(245)*-2 + sqrt(245) - sqrt(245)) + sqrt(15)\/sqrt(3) + 0 + 5*(sqrt(5) + -1 + sqrt(5) + sqrt(5))*-2.\nAnswer: -36*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**3 + 10*h**2 - 16*h - 5. Calculate the remainder when v(-4) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -410.5 + 410. Put f, 13, -2 in descending order.\nAnswer: 13, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -265*c**3 - c**2 - 2*c + 8. Let y(q) = -264*q**3 - 2*q**2 - 3*q + 6. Let l(o) = -3*a(o) + 4*y(o). Find the third derivative of l(k) wrt k.\nAnswer: -1566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 13. Let g(u) = -7*u + 7. Let b(l) = 8*l - 6. Let i(x) = -3*b(x) - 2*g(x). Let d(k) = 3 + 163*k - 85*k - 85*k. Determine h*i(t) + 7*d(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1589993638?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -400795 at most -400795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxuxxxu. Give prob of picking 1 u and 2 x.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 7*w**2 + 10*w + 7. What is g(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdq when three letters picked without replacement from {a: 2, q: 1, e: 1, t: 4, d: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14029933\/9 - 1561515. Is x at most -2635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 228 - 95. Let y = 29 + -10. Calculate the greatest common factor of p and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-7)*y)\/(y\/(y\/(y*((y\/y**(6\/17))\/y)\/y)*y)) assuming y is positive.\nAnswer: y**(176\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 4392200 to the nearest one hundred thousand.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 41.659.\nAnswer: -16.6636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37211, 35259, 33309, 31361, 29415, 27471, 25529?\nAnswer: 23589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/33676 or -1?\nAnswer: -11\/33676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + o. Let a be h(-2). Let y = a + 5. Let z be y*17*-2 + -2. Calculate the highest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 143*v**5\/10 - 503*v**3\/3 - 248*v**2 + v. What is the first derivative of i(s) wrt s?\nAnswer: 1716*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39e44 (base 16) to base 15\nAnswer: 4a3d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -5 - 3\/25*u**5 + 0*u + 0*u**2 + 0*u**4 + 1\/5*u**3. Factor a(x).\nAnswer: -3*x**2*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115 and 24587?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 - 11472*u\/5.\nAnswer: 2*u*(u - 5736)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12476 and 3857.\nAnswer: -481.19932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4737*-22.2\nAnswer: 105161.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (7 - (-6 - -10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 121*a**2 + 125*a + 338. Determine v(-122).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 172 * 190\nAnswer: 32680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 8:42 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 4. What is the biggest value in r, 1\/2, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.42454 kilograms in grams?\nAnswer: 80424.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -21) + -3 + 7 + 4 + -15.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71919857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -0.5. Let u = -247 + 256. Suppose -3*l + 26 = -2*r, 4*r - u*l + 10*l + 24 = 0. Put -0.2, r, 4, s in increasing order.\nAnswer: r, s, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 3*y**2 + 2*y + 1. Let k(f) = 8*f**2 + 5*f + f**3 + 2 - f - 3*f**2. Let c = 257 - 252. Calculate c*l(a) - 3*k(a).\nAnswer: 2*a**3 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 282842, 282841, 282840, 282839, 282838?\nAnswer: 282837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182 + (53 - 74) + 102.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 15. Is 2 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 2.7, -1\/23, -4?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 8:51 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219490 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10\/15*-1*27\/171\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1307910 and 35967525.\nAnswer: 71935050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a = -56*a - 114 + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 0. Suppose -4*w + 5 = -3. What is the first derivative of -2 + 3*g**4 + j - w*g**4 wrt g?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x + 2*s = 5, 5*x - 3*s + 17 = 0. Put 1, x, 68, 4 in descending order.\nAnswer: 68, 4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5538098010755\/44772201028 + 41\/57253454. Let m = i + 2086\/17. What is the common denominator of m and -89\/12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85*(21\/(-672))\/((-29)\/928).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.4 - 1.4. Let p = -1.2 - -3.7. Let o = g - p. What is the third smallest value in o, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189\/(-2025) - (-60)\/2250.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -223.\nAnswer: -12\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14867634 rounded to four decimal places?\nAnswer: -0.1487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 5*l + 1009, m + m + 512 = -4*l. What is the tens digit of (-2)\/11 - m\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3509687 to the power of 1\/2, to the nearest integer?\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-6))\/(2\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(125) - (1 + sqrt(125))) + (-1*sqrt(5)*-2)**2 + ((sqrt(45)\/(sqrt(36)\/sqrt(4)*5))**2 + -3)*-2.\nAnswer: 108\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17, 39, 67, 101, 141?\n\"Answer: 3*w**2 + 13*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -470 or -471?\nAnswer: -470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1729.99 + -1730.1400008. Let g = 0.15 + r. Round g to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, a: 1, c: 5, m: 3, o: 8}. What is prob of picking 2 c, 1 o, and 1 m?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -368c (base 14) to base 8.\nAnswer: -22474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-9))\/((-5)\/(-15) + -1). Put -2, -5, f in descending order.\nAnswer: f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 21*l**2 - 19*l**2 + 2*l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/(-51)*1\/(-10)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22269798 to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, b: 4, w: 5}. What is prob of sequence bmw?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 69. Let j be (46\/(-4))\/((-5)\/r). Let o = j + -51. What is the greatest common divisor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 q when three letters picked without replacement from qtqq?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/16 - (-11)\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*o - 119 = 0, 2*o - 4*o + 42 = 2*f. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21686 divided by 17.\nAnswer: 21686\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*((-24)\/16 - (-3 - -1)). Let b(d) = d**3 + 6*d**2 + 6*d + 9. What is the lowest common multiple of 4 and b(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*t, 0*t = 4*i - t - 20. Is ((-9)\/(-6))\/(i\/1336) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 261, 281, 293, 297, 293?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = f - 2. Let b(r) = 29*r**2 - r + 1. Let i be b(f). Suppose -4*k = -i - 35. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -51*x - 7. Let j(h) = -52*h - 6. Give -4*j(d) + 3*o(d).\nAnswer: 55*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(5\/4)\/(w\/(w*(w*w**(2\/7)*w)\/w))*w*w**5*w*w\/(w\/((w*w\/(w*w**(-3)))\/w*w))*w assuming w is positive.\nAnswer: w**(407\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 + 172. Let l = k + -19. What is the remainder when l is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456497393.\nAnswer: 11, 683, 60761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.788993 months to centuries.\nAnswer: 0.0214908275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*b**2 - 18*b + 12*b + 177*b**2 - 494*b**2 + 6*b.\nAnswer: -581*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 2*u**3\/3 - 2*u**2 - 6*u + 11. What is c in w(c) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/5? (a) -3 (b) 4 (c) -1\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(448) + -2)**2 - 1*(sqrt(448) + -2)) + -4)*-1.\nAnswer: -4034 + 104*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 43479596?\nAnswer: 43479596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.29085 decades to months.\nAnswer: 4714.902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4492*i - 2944 wrt i?\nAnswer: 4492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**8\/7560 + j**6\/810 - j**4\/108 + 7*j**3\/3 + 18. Let m(r) be the third derivative of i(r). What is u in m(u) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 378 and 480816?\nAnswer: 480816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8486 + 50623*s**2 - 54*s**3 + 8486 - 50623*s**2.\nAnswer: -54*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85.8*-1.5.\nAnswer: 128.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 468?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -230\/221 + 12\/13. Which is the closest to -0.2? (a) -1\/4 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -103 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4560 divided by 19\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -402 divided by 320\nAnswer: -201\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2234)\/(-28))\/((-150)\/(-175))*(3 - -1). Is 371 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7822 - 2054. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z = 8*z + 27412. What is the highest common factor of z and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 5:54 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/52, -4, 79\/19?\nAnswer: 79\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1029.65561 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + 11. Let o = c - 13. Let n = o - 35.9947. What is n rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 500 or -2310?\nAnswer: -2310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -6 - 68*-5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((0 - -4) + -4)\/3. Suppose s*u - 111 = -3*u. Differentiate -6*f - 41 - 16*f + u with respect to f.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**2 + 52*o - 48 = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17490\/2483 or -7?\nAnswer: -17490\/2483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/19? (a) -7 (b) -390 (c) 2\/13 (d) -2\/27 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3981.14224 rounded to the nearest one hundred?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 84*i + 1011. Let k be r(-12). Let g(z) be the second derivative of 1\/40*z**5 + 1\/6*z**k + 0*z**2 + 1\/8*z**4 + 18*z + 0. Find n such that g(n) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/5 and -434696 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 22 + 76 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.323 + 3.323. Sort t, 1\/4, 0, 23.\nAnswer: 0, 1\/4, t, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 - -100. Let x(k) be the second derivative of -1\/3*k**3 + m*k**2 + 1\/10*k**5 + 0 - 4*k + 0*k**4. Let x(b) = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -258506 and 3\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) + -1 + sqrt(2)*-1*1.\nAnswer: -1 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -42.83. Let s = c - 16.83. Let o = s + 24.1. What is o rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002252 to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.73905 rounded to 1 decimal place?\nAnswer: -17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a. Let s(d) = 3*d - 1. Suppose 109*c + 4 = 107*c. Give c*s(y) + 5*p(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -3, -2\/15, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17370 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1297448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 878 - 4*u**2 - 885 - 4*u**2 + 5*u**2.\nAnswer: -3*u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45 + 77 + 37*r**4 - r**3 - 142*r**4 wrt r.\nAnswer: -420*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(121)*-1 + 2*(sqrt(121)*2 + sqrt(121)))\/((sqrt(220)\/sqrt(4))\/sqrt(5) + sqrt(33)\/(sqrt(3)*2 - sqrt(3))).\nAnswer: 11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-10)*1*62. Let k(y) = z - 31 + y**2. Let b(x) be the second derivative of -x**4\/4 + 236*x. Calculate k(b(d)).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94*q - 309 + 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*0.59948.\nAnswer: -16.78544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29455986?\nAnswer: 2, 3, 7, 59, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooofofooowwwooo?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -827*j - 16546. Let c be a(-20). Let q(i) = -11*i**2 - 32*i + 17. Let h(d) = -4*d**2 - 11*d + 6. Let s = -4 - -21. Calculate c*q(b) + s*h(b).\nAnswer: -2*b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9879114 and 5166?\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 3*d - 41, -2*v - 4*d - 1217 = -1211 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 600628 and 3192.\nAnswer: 3603768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) 0.4 (c) 42 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721021497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12 - 14 + 2 - 23*n. Give y(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 5)*(4 - 4 + 2)*(-43404*a + 22050*a + 21988*a) to d + t*a and give t.\nAnswer: -2536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 315.2 + -315.23063. Round t to 3 dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 579 divide 12457782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 5. Suppose 12 = -d - 0*p - 2*p, -4*p - 30 = 5*d. Let o = r - d. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 0.3356435?\nAnswer: -0.01342574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645332927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 224032 and 40.\nAnswer: 1120160","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9655*g**2 + 602*g**2 + 9389*g - 9389*g - 2624 - 1966 wrt g.\nAnswer: -18106*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + -2310412?\nAnswer: -2310352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1974933?\nAnswer: 3, 219437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11380534 is divided by 138787.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -70c1?\nAnswer: -70b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 547*o**2 + 202*o + 63*o + 9 + 545*o**2 in the form b*o**2 + a + t*o and give t.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113396 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*x - 34 = -5*p + 50*x, -12 = -p - 4*x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 + -77 - (21 + 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6965*a**2 + 6967*a**2 - 3*a - 3*a - 1)*(-2*a + 3*a - 2*a)*(a**2 + a**2 - a**2 + (-13*a**2 - a**2 + 3*a**2)*(-2 + 4 - 4)).\nAnswer: -46*a**5 + 138*a**4 + 23*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -12 - (12 - (-2 - 2))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 214195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49156 is divided by 523.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -5 + 9 - 3) + -7 + 9 - 32.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 722b - 29e5?\nAnswer: 4736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 59, 77, 99, 125, 155?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -13*m**4\/4 - m**3\/3 + m**2\/2 + m - 3. Let t be x(-1). What is the highest common factor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*m**2 + 231*m**2 - 42*m**2 + (3*m + 0*m - 4*m)*(-3*m + 2*m + 3*m) to x*m**2 + y + h*m and give x.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + l = 2330, -2*f + 3*l = f - 2322. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -4086?\nAnswer: 4082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 6:48 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1489*w + 67658. Give a(46).\nAnswer: -836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 - (-6 - -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-2\/15))\/(p**1\/p))**(-45))**(2\/17) assuming p is positive.\nAnswer: p**(-78\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p - 7*p = -9*p + 38*p - 900 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0031512 rounded to five decimal places?\nAnswer: 0.00315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629095135?\nAnswer: 5, 61, 109, 127, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - -11 - (5 + 47)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 57, -2\/21, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000076655457 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 72, 160, 250, 342, 436?\n\"Answer: p**2 + 85*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4517.\nAnswer: 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-126)*-21*(-4)\/9\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/10 - (-9)\/45. Let -7*i + 8 - 3*i**3 - 9*i**l + 3*i - i**2 = 0. What is i?\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -4 + -13 - 11\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-7))\/((-3260)\/164304).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 62 = -42. Suppose -n + 23 + u = 0. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j + 1417 - 1453. Solve -j*v - 5*u + 6*u - 20 = 0, 3*u = -5*v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r - 107 = -349. What is the third biggest value in -0.5, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)*-2*-5)\/(-3*sqrt(1331)))**2.\nAnswer: 500\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 not equal to -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(19)*2*-6.\nAnswer: -12*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 23*d - 29. Let w(b) = -4*b + 5. Let k(p) = -6*a(p) - 34*w(p). Give k(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 - 74. What is the remainder when x is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -13 + 3*a**3 + 3*a**3 - 4*a**3 + 12*a + 9*a**2 - 3*a**3. Let p be m(10). Let v = 20 - p. What is the remainder when v is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + x = -3*x, 5*b - 2*x = 0. Suppose 49 = -5*q + 3*q - 3*l, 0 = q + l + 24. Let v = q - -26. Solve p = v*d + 3*p - 3, b = 4*p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r. Let d(n) be the first derivative of -n**4\/4 - n**3 - n**2\/2 - n - 2. Let g be d(-3). Let z(l) = -4 + 4 + g*l. Determine z(y(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10 - -12)*1309\/2 + -2.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181956926?\nAnswer: 2, 193, 471391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 665080 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -11*q - 114. Let u be d(-10). Sort 26, u, -1 in increasing order.\nAnswer: u, -1, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 300825 = 3*c - 3*q, -5*c + 167105 = -5*q. What is the ten thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3\/2 - 1775*p**2\/2 - 17592*p - 73710 = 0. Calculate p.\nAnswer: -1755, -14, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(240\/(-705126)) - 3\/12. Round q to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 13*u**2 - 6*u - 93. Let f be 2*156\/(-40) - 3\/15. Is d(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t - 90 = 124 + 191 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1080*g - 989*g + 1456 = 0 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 12224\/120 - 8\/(-60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057044 is divided by 232.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -17) + (12 - 19)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 5966.\nAnswer: -5\/5966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-12) + (4 - 2). Solve -6*i - 14 = r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 462 - -283. List the prime factors of l.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -1\/3, 3, -15, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 7*g + 3. Let d be b(6). Suppose a - 18 = -3*m, -2*m + 13 = a - 2. Calculate the highest common divisor of a and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Let r = -2.9 - -0.4. Let q = r - 0.5. What is the biggest value in q, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 5*k - 10*k)*(10 - 24 + 17)*(1 - 2*k - 1).\nAnswer: 66*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i - 1. Let b be u(7). What is the units digit of (3\/4)\/(b\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29737 divided by 1\nAnswer: -29737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 - 5*c**2 + 5*c**2 + (-c + 3*c + 0*c)*(2*c + 1 - 1) + 72 - 72 + 13*c**2.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -11. Let y be (-4)\/s + (-3 - 4). Let n(x) = -13*x**2 - 15*x + 13. Let p(r) = 7*r**2 + 8*r - 7. Calculate y*n(w) - 11*p(w).\nAnswer: w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2285*u**2 - 3 - 33013*u + 33016*u - 6170*u**2.\nAnswer: -8455*u**2 + 3*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -78*x**3 - 9*x**2 + 7*x - 2092. Let n(i) = 52*i**3 + 6*i**2 - 5*i + 1395. Let s(z) = -5*b(z) - 7*n(z). What is the first derivative of s(w) wrt w?\nAnswer: 78*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 3*d + 30 - 50, -5*n + 5*d + 20 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 8 = -20. Suppose -3*k + 8 = -k - c, -5*k - g*c = 6. What is the closest to 1 in k, -8\/3, -2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 779 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/(-120) + (-50)\/(-8). Let g(y) = -b*y + 14*y - 3*y + 2*y - 8*y. Let o(j) = 14*j**2. Give o(g(t)).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 472970 and 1317463.\nAnswer: 1790433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzmz when four letters picked without replacement from zzzrmmmzmmzzmmmmzzz.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c - 116*c - 9*c.\nAnswer: -116*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - ((-15494)\/2 - (-3 + 1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -398 + 40007\nAnswer: 39609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 50464915.\nAnswer: -25232457.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 416391689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 1, -u = r - 0*u + 3. Let h be -8 + (1 - 1 - r). Let z(g) = -g - 3. Give z(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14576*v**6 - 25*v**2 + 2444*v.\nAnswer: -1749120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = -19*z + 25*z. What is the second derivative of -3 - z*h**2 + 161*h + 165*h - 327*h wrt h?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -239.228714 to zero dps.\nAnswer: -239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24248, 48488, 72728, 96968, 121208, 145448?\nAnswer: 169688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 - 7265430*f + 26393236542450.\nAnswer: (f - 7265430)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4285.5 + -4286. Which is the closest to -1? (a) 6.2 (b) f (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.958 - -2.958. Let y = -451\/3897 - -2\/433. What is the fourth biggest value in 9, y, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278525.3838 rounded to the nearest one hundred?\nAnswer: 278500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/(sqrt(7) - -3*2*sqrt(7)) - (sqrt(30) + sqrt(270))\/sqrt(10)*4)*4)**2.\nAnswer: 591408\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 + 60\/(7 - 3) - 80. Let f(l) = -18*l**3 + 24*l**2 - 24. Let m(z) = z**3 - z**2 + 1. Determine y*m(i) - 3*f(i).\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 12 + -9 + -55?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 259.1, -0.3, 1\/5, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 394333552 a multiple of 2231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-35)\/20)\/(2\/(-5128)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 2*r + 4. Suppose -25*j - 30 = -130. Calculate i(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j**2 + 1. Let b be q(1). Let y = 1 - b. Suppose t**2 + 3*t - 3 + 9 - 3*t**3 - y*t**2 = 0. What is t?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 448500 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + (-2 - -2))\/(-1). Let w be l*(-2 + (-6)\/(-3)). Let x = 172 + -170. What is the nearest to 3 in x, 0.3, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x - 8*x + 7*x**2 + 16*x**2 + 23*x.\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -2120?\nAnswer: -2120.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) 5 (c) -5\/4 (d) 2 (e) -214096\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000229606 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 883405259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724019452?\nAnswer: 2, 13, 29, 223, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 754 and 6764888.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/(-945))\/(-4*3\/(-54)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -362, -716, -1076, -1448, -1838, -2252, -2696?\n\"Answer: -k**3 + 3*k**2 - 356*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13077*l + 13495*l + 11704 = 0 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -1\/8, -2\/25, 52 in increasing order.\nAnswer: -3\/7, -1\/8, -2\/25, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55430.\nAnswer: 2, 5, 23, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 759010 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyxyx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1076*c + 1002*c - 1426*c - 2.\nAnswer: 652*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**4\/12 + 2*k. Let y(f) = 5*f**2 + 2*f**2 - 3*f**2. Determine i(y(n)).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 + -1.9. Sort -0.3, o, -1.\nAnswer: o, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3516.89041 to the nearest integer.\nAnswer: 3517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 33*h**3 + 62*h**2 - 14*h - 8. Let w(a) = -11*a**3 - 21*a**2 + 5*a + 3. Let z(x) = -3*p(x) - 8*w(x). What is the third derivative of z(y) wrt y?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -135*w + 152*w + 182, -18*v + w = -3*w + 1010 for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -0.4, -57.9, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.56 smaller than 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, -66, -265, -552, -933, -1414, -2001, -2700?\nAnswer: -3517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3007 + 6015\/2. What is the fourth biggest value in 18, 5, r, 1.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u = 0. Let k(t) be the first derivative of -t**4\/12 + t**3\/6 - t**2\/2 - 8*t - 9. Let s(h) be the first derivative of k(h). Calculate s(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -161 - -259. Suppose 4*f + g - 320 = 5*g, 0 = f + 5*g - y. Suppose 3*m + 171 = 2*z, -z + 0*m + f = m. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4 + 684*q**3 - 7961*q**2 - 69126*q - 60480 = 0 for q.\nAnswer: -5, -1, 18, 672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*a + 1848*a - 271*a.\nAnswer: 1450*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 459.8 + -373. Let a = 87 - z. Sort 16, a, 0.3 in ascending order.\nAnswer: a, 0.3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*t + t - 63*t - 48*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -540969 greater than or equal to -540738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/3? (a) -262 (b) -0.4 (c) -3\/2 (d) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-91)*8\/6*-21?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 50.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -611\/3 + 205. Factor 0*k**2 + 2\/3*k**4 + h*k - 2\/3 - 4\/3*k**3.\nAnswer: 2*(k - 1)**3*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359491789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6*(-48)\/(-20))\/(2\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u + 83 - 45 - 3*u + u to the form m*u + t and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726763189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -588 + 618. What is the highest common divisor of g and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -16 (b) 0 (c) 0.034 (d) -2\/3 (e) -12 (f) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5120382 * -1\nAnswer: -5120382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.017 + -0.017. Let h be (-45)\/126 + (-1)\/(-2). Which is the closest to -2? (a) 0.3 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 0*v**5 - 19*v**2 + 0*v**3 - 47*v + 0 + 0*v**4 + 9\/10*v**6. Differentiate j(o) with respect to o.\nAnswer: 108*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 7*l - 4. Let c(u) = u. Let p(g) = b(g) + 3*c(g). Give p(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.613637 to 2 dps.\nAnswer: 3.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a = -3*a + 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2, 5, 276\/11, 70, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*b - 392 = -92 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10, w: 9}. What is prob of sequence wwwo?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = -9*f + 11*f. Sort -6, 15, f, 4 in decreasing order.\nAnswer: 15, 4, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -308140 divided by 14\nAnswer: -22010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w - 16. Let f be t(-9). Suppose -5*z = 3*y + 14 - f, 6 = 2*y. Suppose -15 = -3*a - z*o, -31 = -8*a + 3*a + o. Solve 0 = j + a - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42 or 872?\nAnswer: 872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from {s: 7, x: 1, o: 1, p: 6}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35464, -70925, -106384, -141841, -177296?\n\"Answer: z**2 - 35464*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -195405 divided by -5\nAnswer: 39081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 246, 0, -3.\nAnswer: -3, 0, 10, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/11 and (13\/((-2145)\/290))\/((-4)\/6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3652, -1779, 114, 2039, 4008?\nAnswer: 6033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 8, -26*h + 434 = -24*h + 4*q. What is the remainder when h is divided by 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 304102 (base 5) to base 4\nAnswer: 2122232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/6)\/(1\/(-6)). Let f be (-12)\/(-5) + 4\/d. Let p = -3 + 6. Solve -g - 2*w + 3 = 0, p*w + 6 = f*g - 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351334 is divided by 297.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 1:51 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7)\/(-1) - 191*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by 30.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3\/3 + 2485*i**2\/3 + 279415*i + 18734745.\nAnswer: -5*(i - 743)*(i + 123)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**3 + 2*u**2 - 2*u - 2. Let b = -936 + 938. Let t(i) = -7*i**3 - 5*i**2 + 5*i + 5. Determine b*t(j) + 5*k(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 1 - -104*20\/160?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 8*n**2 + 7*n + 3. Let q be p(-6). Let a = 5045 + -4580. Suppose -38*d = -q*d - a. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, w: 2}. What is prob of sequence wnw?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168 + -114. Let o = -1 - l. Let q = o + 54.99951. Round q to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47038?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -28, -1\/11, 6?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5 = 3*q + 7, -3*s + 4*q + 17 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5\/4 - 63*w**4\/4 + 345*w**3\/4 - 45*w**2\/4 - 357*w + 297 = 0.\nAnswer: -2, 1, 2, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 201365 + -201363. Let 4\/5*p**k + 128\/5 + 72\/5*p = 0. Calculate p.\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 143561\/12 - 11971. Let p = -202049\/14 - -14438. Find the common denominator of d and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 636 + -636. Suppose h = 25*r + 11*r - 51912. What are the prime factors of r?\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-5813\nAnswer: 1743.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from {g: 3, b: 6, o: 4, l: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 135283, 541131, 1217541, 2164513, 3382047, 4870143, 6628801?\n\"Answer: 135281*n**2 + 5*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103213 (base 5) to base 14.\nAnswer: -1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpappancnhpccf. What is prob of sequence pap?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 + 86 = -4*b. Find the third derivative of 40*x**3 + 31*x**4 - b*x**3 + 10*x**4 + 19*x**2 wrt x.\nAnswer: 984*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 14 = 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -25*q**2. Let k(v) = 26038*v**2. Give k(o(w)).\nAnswer: 16273750*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47.1*-3.\nAnswer: 141.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z**3 + 4*z**2 + 4. Suppose -20*m - 3 = -23*m. Let d(c) = c**3 - c**2 - 1. What is m*a(n) + 4*d(n)?\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42871 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-3)*(-3)\/(-2). Suppose -6*c - x = -10*c + 8696, 3*c - 6511 = -2*x. Calculate the remainder when -3*k\/(-39) + c\/13 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 200\/7 + -807\/28. Let w = 0.5 + -0.9. Put j, w, 0.2 in descending order.\nAnswer: 0.2, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -26\/3, 5\/8, 1, 0 in increasing order.\nAnswer: -26\/3, -2, 0, 5\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 + 136430*u**3 - 17544000*u**2 + 753596930*u - 10795857995.\nAnswer: -5*(u - 27157)*(u - 43)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*m + 3277 = -3218 + 1041 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 2\/11 (c) -0.516\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpk when three letters picked without replacement from {p: 5, w: 5, k: 3}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*h - 57 + 88 = 0, h = 7*o - 44 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1073, 2120, 3167, 4214, 5261?\nAnswer: 6308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from hqssczo.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*p - 2*p + 33 = 0, -2*r - 5*p = -73. What is the highest common divisor of 552 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*p - 13*p + 25*p + 3*p**2 - 8 + 0*p**2 + 2*p**2 - 4*p**2 - p**2 + 2*p**2 + 2*p**2 + (0*p + 0*p + 2*p)*(p + 2 - 2) - 4*p**2 + 5*p**2 + 0*p**2.\nAnswer: 7*p**2 - 5*p - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/11)*n*n)**18)**(4\/21) assuming n is positive.\nAnswer: n**(120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -330*i + 375*i - 360 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 25\/27?\nAnswer: 25\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(208) + 5 + (sqrt(13) - (sqrt(13) + 2)*-1) + -5).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a - 16. Let y(l) = -l + 5. Let v be y(2). Let f be j(v). Let u = f + 46. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*b - 6*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 31. Let p be 5*-2 - (0 - -1). Let x = p + f. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c - c**3 - 17 - 19 - 13 + 5*c**2 + 63. Let w be t(8). Does 39 divide 5\/((-25)\/(-20))*w\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + 26*g**3 + 125*g**2 - 332*g + 180.\nAnswer: (g - 1)**2*(g + 10)*(g + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 0*k**4 - 1\/30*k**5 + 4 + 0*k + 7\/6*k**3 + k**2. Let s(m) = -m. Determine l(s(a)).\nAnswer: -2*a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 374, -1\/6, -315, 2\/11, -0.3, 2 in descending order.\nAnswer: 374, 2, 2\/11, -1\/6, -0.3, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 27377 + 4*f**2 + 5*f**3 + 5*f - 27377. Suppose 5*p - 2*o + 17 = 0, 3*o = 5*p + 9 + 4. Let a be k(p). What is a rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 1 - 8. Let u be i - 0 - (-10)\/15. What is the nearest to -22 in u, 0.1, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Suppose -4*v - v - 3*x - 27 = 0, n = 3*x - 3. Let o = v + 12. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -10. Let w = s - -10. Suppose 0 = 16*v - 432 + 400. Solve v*m = 4*m - w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2949 by 3.\nAnswer: -983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 165788\/60 - 18\/135. Let l = n + -1099. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + t**2 - 2*t - 1. Let y be m(-2). Let z be y\/1 - (-5 + 0). Suppose 0*x + 200 = z*x. Does 25 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -2*g**7\/105 + 7*g**6\/15 + 17*g**5\/15 - 5*g**4 + 459*g**2. Find h, given that l(h) = 0.\nAnswer: -2, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a milligram in micrograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93110160\/197 - 2666197403174\/5641095. Let u = p + 2\/1909. Factor 16\/15*m + u + 2\/15*m**2.\nAnswer: 2*(m + 4)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Suppose 0*w - d*w = -198. Suppose -w = -3*p - 6. Calculate the highest common divisor of p and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 5:23 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10373 + 4955 = -1845*d + 5582 + 5605 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 35908*v**5 + 898052*v**4\/5 + 1438064*v**3\/5 + 720896*v**2\/5 + 256*v - 64\/5 = 0.\nAnswer: -2, -1, -2\/191, 2\/235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 149 = 2*s - 139, 2*v - s - 4 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -4, 6541, 3, 6\/11, -71?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 3*r - 9. Let w be v(-2). Suppose 0 = -41*h - 127 - 78. Sort -32, h, w in descending order.\nAnswer: w, h, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*y - 3402 = 476, 2*c + 2*y = 2588. Suppose 3*s = 12*s - c. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 16, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 17028*m**2.\nAnswer: -3*m**2*(m - 5676)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or 7386\/113?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12)*-8*230\/(-20).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59878 and 252?\nAnswer: 1077804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q - 18. Let g be u(-10). Calculate the greatest common divisor of g and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 414078 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5092793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (55250\/51)\/(-13)*57\/(-2).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 0. Let t = -16.5 - a. What is the second smallest value in 3\/5, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = 4*z + 12, -h + 6 = -z. Suppose -8*f + 12 = -h*f. Let v be -1*(f\/3 + (-6)\/9). Solve -5*g - 38 + 13 = v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*k*n**4 + 16*k*n**3 - 366*k*n**2 - 3*k + n**4 - 120*n**3 - 15*n**2 wrt n?\nAnswer: 432*k*n + 96*k + 24*n - 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -930*0.4.\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u - 5 = 0. Let s(b) be the first derivative of 13 + 9 + b**3 - 16 - 2*b**2. Let h(o) = -4*o**2 + 5*o. Calculate u*s(t) - 4*h(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23142184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52.1 + -49. Let w = j + -3. Let n = -7 - -11. Which is the nearest to -0.1? (a) n (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 9176.\nAnswer: -9176.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 17*d - 49. Suppose -3*j - 3 = 3*h, -5*j + 8*j + h = -9. Let m be o(j). Solve 0 = 2*x - 3*s - 6 - 2, -m*x - 4*s = 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 1868 = -1888. Which is the smallest value? (a) j (b) -1.2 (c) -5 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 23617084?\nAnswer: 3\/11808542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v. Let q(u) = -u. Suppose -4 = -o - j, -3 = -2*o - j + 5. Let b(d) = o*z(d) + 6*q(d). Let a(r) = 3 + 2*r - 3 - 3*r. What is b(a(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 21*v + 10. Let i be 3\/10 - (-2825)\/1750*-7. Let h(r) = -2*r - 4. Let q(d) = -3*d - 9. Let p(g) = -5*h(g) + 2*q(g). Calculate i*p(l) + 2*z(l).\nAnswer: -2*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**2 - 220*j + 1708. Give c(10).\nAnswer: -1092","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - 7*p**2 as m*p**2 + s*p + l and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5057863?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*w + 0*w**5 - 64*w**4 - 8*w**5 + 64*w**4 wrt w.\nAnswer: -160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/36*2)\/((-4)\/6).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 17*k. Let w be i(-17). Let t be 1\/(-3) + 39\/9. Suppose t*m + 0*m + 8 = 0. Sort -5, w, m in increasing order.\nAnswer: -5, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -0.5 (c) -6 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 0*v**3 + 53*v**2 + 0 + 0*v - 1\/24*v**4. Let b(w) = -12*w. Calculate -2*b(y) + 28*k(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -547, -545, -533, -505, -455, -377?\n\"Answer: p**3 - p**2 - 2*p - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*b + 143 = -109, -2*w - 5*b = -183. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1166*h - 1440*h - 2321*h + 868*h.\nAnswer: -4059*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*x**6 - 8192*x**5 - x**3 + 6360040*x**2?\nAnswer: -720*x**3 - 491520*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1082140566*b**3 - 119915*b**2 - 176.\nAnswer: -6492843396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0131378889 to 5 dps.\nAnswer: -0.01314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5+-124\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*f - f - 1769, 4*z = -20. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71761801679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = o + o, 5*q - 4*o + 4 = 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -394 - 887. Let u = h - -2492. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103 and 1339.\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -1\/24413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -10) + -15 + 25 + -24?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -107211 + -5d?\nAnswer: -10726e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 4*n**2 + 2*n**2 + 4*n - 3624.\nAnswer: -2*n**2 + n - 3624","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - h - 1. Let i(j) = -14*j**2 + 10 + 20*j - 2*j**2 + 4*j**2. Let d be 25\/20 + 11\/(-44). Let l(n) = d*i(n) + 10*k(n). Find g such that l(g) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 485850874?\nAnswer: -485850871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b + 3. List the prime factors of q(-7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*s - 6*s - 4*q, -4*q - 11 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(30\/4)*(3 - -3). Suppose -2*r + 224 = s. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2 - 62*c - 64. Let k be j(-14). Solve 15 = -k*y + 213*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129.3872 smaller than 19\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 33.8395 nanograms?\nAnswer: 0.0000000000338395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242820 and 728460.\nAnswer: 728460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 70. Suppose 2*j = -10, -9*g + 3*j + 3 = -p*g. Solve -2*u - g = 4*f + 2*u, 5*u = -4*f - 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 4. Let k(w) = -3*w + 1. Let f(z) = -z + 1. Let d(n) = 2*f(n) - k(n). Let i(x) = -2*d(x) - y(x). Calculate i(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 501502308 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 570\/(-209)*((-41184)\/54)\/(-52)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 3. Let o = 4 - 7. Let a be c(o). Suppose w - 3*w + 34 = a. Calculate the highest common divisor of w and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3851 by 6.\nAnswer: 3851\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*t - 165. Let i be (-6)\/10 + 1408\/t. Suppose 9*p = 4*p + i. Solve -2*v + p = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -171, -65, 281, 987, 2173, 3959, 6465, 9811?\n\"Answer: 20*m**3 - 34*m - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**7\/105 - 47*z**5\/30 - 61*z**3\/6 - 11*z**2 + 1. Find the first derivative of i(s) wrt s.\nAnswer: -8*s**3 - 188*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8781382cm in millimeters?\nAnswer: 8.781382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, w: 6}. Give prob of sequence wwgg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**4 + 26775*d**3 + 58366929*d**2 - 6168544407*d + 6110150700 = 0.\nAnswer: -4513, 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, n: 8, c: 2, h: 5, x: 2}. What is prob of sequence chc?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -15 - (-1 - 12 - (-21 + 14))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*l**2 - 3734563*l - 16701692 wrt l?\nAnswer: 10*l - 3734563","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2663, 15237, 49353, 115781, 225291, 388653?\nAnswer: 616637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 8*c**2 - 4*c - 7. Let a be q(7). Let y be (a\/(-21))\/(6\/9). Let t = -1158 + 33586\/29. Which is smaller: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*j - j - 10, 4*j + 4 = 2*m. Suppose 3*b - m = -0. Factor -3*f**b - 3*f**2 + f - 2*f**2 + 4*f**2 + 4*f**3.\nAnswer: f*(2*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t - 1. Let s be b(-7). Calculate the common denominator of (-125)\/s + (-2)\/1 and ((-1905)\/210 + 9)\/((-12)\/469).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -10. Let a = 1.4 + o. What is a rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (52 + 0)*(-130)\/(-40). Suppose -2*r = 3*r - 4*q - a, -3*q - 173 = -5*r. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*255\/(-425).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 - 55848*z + 223388.\nAnswer: (z - 223388)*(z - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3)*367\/(-6). Let q = b - 41. Let l = -5 + 7. What is the second biggest value in -0.2, l, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 3*k**2\/2 + 3*k + 3. Let h(m) = 7*m + 7. Give 10*d(i) - 4*h(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25119768 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 229911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 208009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/13 + 38*t\/13 + 120\/13.\nAnswer: 2*(t + 4)*(t + 15)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*v + 16620 = 4922 - 26056 for v.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - y - 1. Let h(g) = 13*g**3 + g**2 + g + 5. Let s(a) = -h(a) + p(a). What is the first derivative of s(i) wrt i?\nAnswer: -39*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 309.8901 minutes to milliseconds.\nAnswer: 18593406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 = 0, -5*k + 4*v + 41 = 2*v. Suppose 0 = -3*t + 3*w + 24, k = 5*t + w - 3. Calculate the least common multiple of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, 11.4, 0.03, -0.6, -3, 5 in descending order.\nAnswer: 133, 11.4, 5, 0.03, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 113, 70, 7, -76, -179?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.23002 centimeters in millimeters?\nAnswer: 432.3002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 80\/3. Let x = -161\/9 + m. Which is the biggest value? (a) -3\/7 (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*i**3 - 19*i**3 - 131*i**2 - 14*i**3 - 5.\nAnswer: -2*i**3 - 131*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 405*65.5\nAnswer: 26527.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/30 and -23\/174.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3*c)**(-50)*(c**(1\/3)*c)**8 assuming c is positive.\nAnswer: c**(-568\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9c - -325?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.8, 176, 0.5, 0.2, -2\/9, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1 = -4. Let b be (q - 2) + 3 + 3. What is the second derivative of -3*z**2 - b*z + 6*z + 0*z**2 wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -55456693.\nAnswer: -499110237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1, 0.2, 2, -77\/113 in decreasing order.\nAnswer: 2, 1, 0.2, -0.5, -77\/113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282580797 to the power of 1\/3, to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4265722132.\nAnswer: 2, 7, 8731, 17449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2066 + -2054. Which is the closest to 0.02? (a) 5 (b) 0.4 (c) -3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 739391201 to the nearest integer?\nAnswer: 27192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 11. Let u = 3.819 + 2.145. Let k = i + u. Round k to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 divided by 882?\nAnswer: -137\/294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1272 - 639 - 633 + 19*h**3.\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -31*d**2 + 5*d + 2. Let a(l) = -41*l. Calculate i(a(x)).\nAnswer: -52111*x**2 - 205*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 - 1093 = 47*b for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 557172 and 1407.\nAnswer: 557172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10*c**2 - 164*c - 4. Let l(x) = -12*x**2 + 163*x + 5. Let o be (-27)\/54 - 27\/6. Let k(f) = o*q(f) - 4*l(f). Let p(g) = g. What is p(k(m))?\nAnswer: -2*m**2 + 168*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -2*(-289 - 4). Find the common denominator of t\/(-888) - (-1 + 117\/104) and 93\/10.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/15)\/(14 - 1390\/100). Solve -2*r + 2 = -a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 + 76.45. Let w = r + 0.55. Sort w, 0, 3\/2 in ascending order.\nAnswer: 0, w, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15150.30478 rounded to the nearest 100?\nAnswer: -15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22986*i*k**3 - 2*i*k**2 + 2*i - 2*k**3 - 9657 wrt k?\nAnswer: 68958*i*k**2 - 4*i*k - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/199557 and 74\/376941.\nAnswer: 3392469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o = -99. Suppose -v - 5*u - 74 = 0, 4*v + 3*u + 221 = -2*u. Let s = o - v. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l**(6\/11)\/l)\/l*l)\/l)\/l)**(2\/77)*(l\/(l**24\/l))\/((l\/(l\/(l\/(l*l**(7\/3)\/l))))\/l*l) assuming l is positive.\nAnswer: l**(-52610\/2541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Let h(v) = v**3 - 2*v**2 + 3*v - 1. Let s be h(2). Suppose -20 = -3*r - s*m, 0 - 9 = -r - 4*m. Solve -r = -d*k - k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u - 7. Calculate z(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11902387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 + 24416*x\/3 - 74517632\/3.\nAnswer: -2*(x - 6104)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -7301, 2, -19 in decreasing order.\nAnswer: 2, 0, -1, -19, -7301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*z**3 - 1798*z**2 - 152*z + 1920.\nAnswer: 2*(z - 60)*(z - 1)*(15*z + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -9, -3, -13620 in increasing order.\nAnswer: -13620, -9, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -9 + (6 + -14 + 18 - 5) - 24?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h = -45*h - 3*m + 583839979, 3*m = -h + 145959979. What is h rounded to the nearest one million?\nAnswer: 146000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(143) - -6*-1*sqrt(143)) + sqrt(143)) + -2*2*sqrt(143)*-1)\/(1*-4*1*1*sqrt(275)).\nAnswer: -6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 31 + -1*(-4 + 8). Let f = -22 + w. Solve 2*m + 14 = -f*p, -5*m = -3*m + 3*p + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000127970336 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5137555213.\nAnswer: 7, 59, 12439601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -2\/7, 3778, 0.3?\nAnswer: 3778","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 305 + -1835\/6. Let i(f) = f - f**2 + 3 + 3 - 6 + 2. Let n be i(2). Which is smaller: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12971*o - 4620 = 13076*o for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/6 + 11*x**3\/6 - 6*x**2 + 8*x\/3 + 32\/3.\nAnswer: -(x - 4)**3*(x + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 0. Suppose -y*x + 7*x = 25. Let s be (-2)\/x - 14\/35. Which is the closest to 0.1? (a) s (b) -1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, p: 2, i: 2, w: 1, h: 2}. What is prob of picking 2 p and 1 w?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(3\/13)*(a\/(a*((((a*a*(a**(17\/5)*a)\/a)\/a)\/a)\/a*a)\/a))\/a assuming a is positive.\nAnswer: a**(-171\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2561\/6 + 427. Suppose 2*b + 3*l = -14, -2*l - 14 = 3*b - 3. What is the closest to o in -3, 2, b, 28?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9536088 to the nearest integer?\nAnswer: 3088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -7900.00072 and -2.6026.\nAnswer: -7902.60332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/24894234 and 33\/46.\nAnswer: 24894234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-21)*v*v\/(v*v*(v*v*v**(-25))\/v)*v\/(v\/v**(-4))*v**(2\/7) assuming v is positive.\nAnswer: v**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -18*t - 66. Let l(x) = -8*x - 30. Let i(n) = -6*k(n) + 14*l(n). What is i(-11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 141\/(-47)*13\/(-91)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-15))\/(2\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 63*u - 11 + 11)*(4*u - 3*u + 0*u) to w*u**2 + v + f*u and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89269955?\nAnswer: 5, 17853991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 963827203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 20*k**2 + 20*k - 20. Let w be v(19). Suppose 3*l - 5*j = -10, -j - 5 = -2*j. Sort 1, 4, w, l in increasing order.\nAnswer: w, 1, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, z: 3}. What is prob of picking 2 z?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3098707516.99999972 - 3098707728. Let z = 211 + k. What is z rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.41 + -8.01. Which is the biggest value? (a) s (b) 9 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391872 is divided by 1875?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 9 = j. Suppose g = 3*g + j*n - 472, 2*n - 4 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 0, -136 in descending order.\nAnswer: 1, 0, -3, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 3*k = 15, 10 = -k - k for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 60335, 60365, 60415, 60485, 60575, 60685, 60815?\n\"Answer: 10*x**2 + 60325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19576 + -14709. What are the prime factors of q?\nAnswer: 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/188194 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/5))**(4\/9)*(c\/(c**10*c))\/c**(2\/9) assuming c is positive.\nAnswer: c**(-152\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9)*l)**(-19)*((l*l\/(l*l\/l**1*l))\/l)**27 assuming l is positive.\nAnswer: l**(-452\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 123 - 212. Let q = a + 263. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.97889 rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 5*l + 7, 0 = -4*a + 4*l - l + 57457 - 57458 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -8 - 0. Suppose 2*z + f*q = 16, 2*q - 13 = -z - 0*q. Let r = z - -2. Solve -t = -r*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191.8996 - 192. What is z rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnn when three letters picked without replacement from xgggxgxnnxnggnggn?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569255 is divided by 3113.\nAnswer: 2689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 477 (b) -5 (c) 2\/13 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*c**3*k**2 + 3*c**3 + c**2 - 17*c*k**2 - 2*c*k wrt k.\nAnswer: -32*c**3 - 34*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 8*o**2 - 21*o - 9. Let c be z(-10). Suppose 7*h - c - 20 = 0. Solve h*b + 4 = -11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4652 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1118, 2412, 3724, 5054, 6402?\n\"Answer: 9*x**2 + 1267*x - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 20. Let x be (12 - 15)\/(9\/l). Which is the nearest to 2\/5? (a) -3 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/7 + 8*g**3\/7 + g**2\/7 - 8*g\/7.\nAnswer: -g*(g - 8)*(g - 1)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2879833 - 108816 - 9*v + 3*v.\nAnswer: -6*v + 2771017","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 123, 190, 309, 486, 727, 1038?\n\"Answer: s**3 + 20*s**2 + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*x + 199 = 4*x, 5*r = 3*x + 214. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/12 - 7*h**3\/6 + 7*h**2\/2 - 38*h. What is t(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -36 + -18 + 12 + (9 - -1) + -9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - 0.13. Let u = t - -0.37. Let j = 1.7 + u. Put 0.1, 3, j in descending order.\nAnswer: 3, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, -54, -148, -292, -492, -754?\n\"Answer: -v**3 - 16*v**2 + 5*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 217.8 - 218. Sort -0.09, l, 5.\nAnswer: l, -0.09, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3512 + -3512. Let n(i) be the first derivative of 2 - 8\/3*i**3 - 2\/5*i**5 + x*i + 0*i**2 - 2*i**4. Factor n(w).\nAnswer: -2*w**2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3*b + 21 = 0, 0 = -5*b + 86 - 101 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-5187)\/228 + (-30)\/24).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -82, -549, -9 in descending order.\nAnswer: 1, -9, -82, -549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4282 + 4279 - 222*a - 8561 + 4331*a as p + j*a and give j.\nAnswer: 4109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 1 (c) -324\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*f + 25*f = -7623. List the prime factors of f.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10 + 0)*33\/(-5) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.44.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1055 - 1767 = -166*a. Suppose b - 10 + 0 = 0. What is the remainder when a is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**6\/120 - p**5\/15 - p**4\/6 - p**3\/6 - 4*p**2 - 4. Suppose 4*b - 2*y + 0*y - 26 = 0, -5*y - 10 = b. Determine u(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*i = 16, 10*i - 27 = 4*x + 11*i. Let w(g) = -8*g - 16. What is w(x)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5756169977 - -160467.\nAnswer: -5756009510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -113\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*m - 13944 = 0, 4*w - 9*m + 4*m - 11147 = 0. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2174 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: Let n(r) = -r**3 - 35*r**2 - 31*r + 98. What is n(-34)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 336 divide 22358112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5 = -3. Suppose 0 = -9*u - t*u. Solve -5 = -4*q - w, u = 4*q - w - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2299570 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4671 - -4246. Suppose 17*a = s - 3205. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/3926516 and 89\/102520.\nAnswer: 39265160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (9 - 67\/5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*t - 258*t + 679 = -177 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115 + -113. Let c(w) = -114*w**o + 58*w**2 + 62*w**2. Let t(f) = -5*f**2. Calculate c(t(s)).\nAnswer: 150*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by 56.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**4\/2 - r**3\/3 - r**2\/2 + 26. Let s(g) = -4*g**3 + 2*g**2 + 3*g. Let i(c) = 5*s(c) + 15*y(c). What is b in i(b) = 0?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 43 = -1 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85820175 divided by -163467.\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/(-15))\/7*((-75)\/(-10))\/1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*d**2*o**3*y - 2*d**2*o**2*y + d**2*o*y - 3*d*o**2*y**2 - 6*o**4*y**2 - o**4 + o**2*y**2 wrt o?\nAnswer: -42*d**2*y - 144*o*y**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(-2)\/(-3 - 1). Let g be 68664 - 4 - (1 + a). Suppose -2*u = 91341 + g. Round u to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196332363937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 18*k**2 - 30*k - 85. Calculate v(16).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 53*c**6\/30 + c**4\/12 - 47*c**3\/3 + 10*c**2 + 3. What is the derivative of f(i) wrt i?\nAnswer: 636*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 4:32 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541*g - 14 = -543*g. Suppose 2*z = 3*q + 28, 2*z + 5*q - 26 = g*q. What is the highest common factor of z and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5 + 2*b**4 - 14*b**3 - 2*b**2 + 12*b = 0. Calculate b.\nAnswer: -3, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145174 to the power of 1\/2, to the nearest integer?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i - 51. Let y(d) = d + 3. Calculate w(h) + 2*y(h).\nAnswer: 6*h - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, 2, 7, 3, -2, 408 in decreasing order.\nAnswer: 408, 7, 5, 3, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69446063 and 4765?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*f = -15633 - 63567. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 12*z + 18*z)*(3 - 3 - 19*z).\nAnswer: -456*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 66 + 4 + -3 - (0 - (0 + 7)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1618 by -1.\nAnswer: -1618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2986, 7461, 13424, 20875, 29814, 40241, 52156?\n\"Answer: 744*p**2 + 2243*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, w: 3, q: 1, f: 5, s: 2, u: 1}. Give prob of sequence swf.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + sqrt(147) + -4 + 4)**2.\nAnswer: 84*sqrt(3) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 368253.6 centuries to years.\nAnswer: 36825360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -21010 and -20961 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2811*h + 2809*h - 10 = 2*d, h = -5*d - 17 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 - x**4 - 6*x**3 - 2*x**2 + 5*x + 3.\nAnswer: (x - 3)*(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 7*i**3\/6 + i. Let o(d) = 13*d. Let j = 474 - 485. Let h(w) = j*v(w) + 6*o(w). Let q(s) = -5*s**2. Calculate h(q(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 9. Suppose a*h + h - 10 = 0. Solve 0 = -5*f - 0*f + 3*z - 6, 3*f - h*z = -4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 15) in base 14?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 36320*m - 4919005.\nAnswer: 5*(m - 7397)*(m + 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 68\/460527?\nAnswer: 68\/460527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 182730311 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1375381 divided by 2.\nAnswer: 1375381\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24462321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7496.\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -105*m. Let r(t) = -t - 5. Let g(q) = -1. Let j(i) = -15*g(i) + 3*r(i). Calculate j(h(a)).\nAnswer: 315*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -52*w**2 + 105. Let r(x) = 8*x. Determine q(r(f)).\nAnswer: -3328*f**2 + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (4 - (-6)\/(-2)). Suppose -k = -z - 2. Solve -2*m + k = 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3042748029 or -3042748028?\nAnswer: -3042748029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 198\/1523 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from edwhextw.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 16410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + -40. Suppose -2*n = -4*a + 1 + d, 0 = 2*a - 2*n - 14. What is the second derivative of 166*i**2 + 2*i - 166*i**2 + 13*i**a wrt i?\nAnswer: 78*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkikkii. What is prob of picking 1 i and 1 k?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 = 2. Let d(i) = 6*i - 1. Does 14 divide d(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 70.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/112 and -67\/154.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 248*k**5 - 8353601*k**3 - 14 + 8353601*k**3 - k**5 - 1 + 1 + (-4*k + 2*k + 0*k)*(0*k**4 - 3*k**4 + k**4).\nAnswer: 251*k**5 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 285622, 571257, 856908, 1142575, 1428258?\n\"Answer: 8*z**2 + 285611*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 2640\/(-154)*35\/(-10).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1746, -3704, -5872, -8250, -10838, -13636, -16644?\nAnswer: -19862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 5 + 4)*(-92 - 269 + 21)*(0*w + 0*w - w) to the form v*w + y and give v.\nAnswer: 2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 132511 to the power of 1\/2, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-124)\/720*-5)\/(((-6)\/10)\/((-552)\/(-115))).\nAnswer: -62\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-3 + 37)) + 2 + (-26339 - -26364)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40273294453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5436 = 5*o, 0 = 14*o - 15*o - 3*w + 1077. Let d = 2117 + o. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b + 7. Suppose -4*m + 5 = -p, 5*p + 2*m = 36 + 5. Let h be g(p). Let x = -19 + h. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 15, m: 5}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 5:27 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 52*k**2 - 677*k - 19. Is 50 a factor of y(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oaippapipsyap. Give prob of picking 1 y and 2 i.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2 + 7*x + 2*x + x**3 + 6 - 10*x**2 - 2. Calculate the remainder when w(9) is divided by (4\/(-6))\/(1\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -248, 1, -91, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 35*c**2 + 2*c + 91. Let f(h) = -44*h**2 - 2*h - 92. What is -4*f(x) - 5*q(x)?\nAnswer: x**2 - 2*x - 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhqh when four letters picked without replacement from qzhqqhhqhyh.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 5518864.\nAnswer: 49669776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -101966154*c**2. Let v(y) = 2*y**2. Give v(f(s)).\nAnswer: 20794193123103432*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**5 + 9*f**3 - 27*f**2 - 682*f + 9?\nAnswer: 40*f**3 + 54*f - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 388166031.1 rounded to the nearest 10000?\nAnswer: 388170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.114924 weeks in days?\nAnswer: 49.804468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 - -77. Solve 4*p - w = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65574 + 32778 + 32931 - 23*d**2 in the form o*d + s + c*d**2 and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -122 - -238. Suppose -4*d + 1 = -2*d - t, 5*d + 5*t = 40. Suppose m = d*o - 115. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/168180 and 5\/546.\nAnswer: 15304380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - u + 1. Let t(i) = 3*i**2 + 2*i - 1. What is -4*s(y) - t(y)?\nAnswer: y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -a9 (base 12) in base 14?\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 15*g - 19. Solve -2 = -6*o + g*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5417067*i**2 + 6*i + 51657505 wrt i?\nAnswer: 10834134*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (411\/17262)\/(1\/14). What is the fourth smallest value in 59, g, 4, -2\/5, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1236 - 1235.9999984. What is y rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**2 - 3*c**3 + 2*c + 4*c**3 + 4 - 6. Let p be w(-4). Let h(g) = -3*g + p*g - 5*g - g. Let l(a) = a. What is h(l(i))?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4982707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436166412.\nAnswer: 2, 3, 11, 3304291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2240, 4273, 6192, 8009, 9736?\n\"Answer: 2*a**3 - 69*a**2 + 2226*a + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (11 - 16)) + 2 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -12*h**2 - 2*h. Let q(k) = k**2 + k - 1. Calculate m(b) + 2*q(b).\nAnswer: -10*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a66 + -15a6?\nAnswer: 5480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**3 + q**2 + q - 4. Let b(m) = -3*m**3 + 2. Determine 5*b(w) + 2*o(w).\nAnswer: -5*w**3 + 2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(2\/1))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**3 + 31*l**2 + 58*l + 18. Let r be x(-8). Solve -127*k = -125*k - r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 - -99.7. Which is the fourth smallest value? (a) 5 (b) 3 (c) p (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 2) + (14 - 15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3 - 1910381*c**2*i - 14*c*i - 176*c + 99*i wrt c?\nAnswer: 12*c - 3820762*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335182.\nAnswer: 2, 29, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 * 9.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1184*t - 593*t - 590*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 26*q. Let c(z) = 2*z**2. Give c(v(h)).\nAnswer: 1352*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3579 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2 + 2 - 4*z**3 - 1. Let j(b) = 5*b**3 - 4. Let q = 1 + -9. Let u be (2\/4)\/(1\/q). Determine u*l(c) - 3*j(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -3, -2, 49, 0 in ascending order.\nAnswer: -3, -2, 0, 1, 2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60401702?\nAnswer: 2, 31, 601, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -809, -795, -781, -767, -753, -739?\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1\/2 (c) -3 (d) 14 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -34*j - 1. Let a be m(-1). Let c be (-225)\/a - (-4)\/(-22). Let t = c - -17. Calculate the remainder when 29 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39765*f**2*o - 728*f**2 + 2*f + 2155*o - 11517 wrt o.\nAnswer: -39765*f**2 + 2155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -24, 192, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6003619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k + 27. Suppose 0 = b + b + 4*h + 8, -3*h - k = 2*b. Let t be 12\/18 - 8\/b. Solve o - 4 = t*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17409 + 28452. Suppose -30*k + g = -5727. What are the prime factors of k?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -0.2, 0.5, 0.1, 22, 2\/63?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 3*q + 7489 - 7727.\nAnswer: -5*q - 238","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 831184077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 12*h**2 - 57*h + 12. Let q be l(5). Calculate the highest common factor of q and 2889.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 + 17*g + 2. Let a(t) = -17*t**2 + 67*t + 6. Let q(c) = 2*a(c) - 9*f(c). What is q(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-891)\/468*152\/(-209)?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 5199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 12:34 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1232?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-7)\/(-490))\/((-1194)\/(-995))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ozoobbbbzbo?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 12. Suppose -6*v + 24 = 6. Find the second derivative of -5*n**u + 15*n - v*n + 2*n wrt n.\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 954597 at least as big as 954598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17, 61, 105, 149, 193?\n\"Answer: 44*q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/30 - 46\/(-70).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -16 - 21 - -20 - (50 - 0)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (22\/((-1936)\/608773))\/((-2)\/16).\nAnswer: 55343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 23*u + 2338. Let f be m(0). Let j be (-1)\/(-12) - f\/(-168). Suppose -51 = -3*x + 117. Calculate the highest common factor of j and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -39*((-4)\/50 + 266\/(-1050)). What is the nearest to -0.01 in -3, -2, r, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i - 13. Let s be c(-4). Suppose k - s*k + 2252 = 5*q, -k - 1349 = -3*q. Suppose 0 = 5*v - 3*d - q + 163, 2*d + 228 = 4*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2 - 3. Let z(o) = 2*o**2 + 9*o + 2. Let f(i) = i**2 + 4*i + 1. Let w(n) = 9*f(n) - 4*z(n). Calculate p(k) + 5*w(k).\nAnswer: k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1246 greater than -1101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 + -43 + -17 - 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43, -121, -199, -277, -355?\n\"Answer: -78*r + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - h**2 - h + 11. Let b = -11 + 11. Let w be m(b). Let k = w + -8. Solve -k*o + 14 - 5 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 928*c**3 + 68*c + 28*c**4 - 4*c**5 + 196*c - 1847*c**3 - 508*c**2 + 1139*c**3 = 0. What is c?\nAnswer: -6, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91050441 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -167915*q. Let j(n) = 9*n. Determine j(h(o)).\nAnswer: -1511235*o","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**2 - h**2 - 2*h**2 + h**2 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 7:57 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/5 of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2462 + 2509. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143 + 171. Calculate the common denominator of -43\/30 and ((-1)\/((-15)\/(-3)))\/((-12)\/j).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/2 + -3 + (-125)\/(-20).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6614 + 2?\nAnswer: -6612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37\/2 of a century?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**4\/24 - 243*r**2\/2 - 47. Let i(h) be the second derivative of v(h). Let p(j) = 241*j**2. Calculate i(p(y)).\nAnswer: 241*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2. Let w(g) be the second derivative of -g**4\/6 - 216*g**2 + 6*g + 6. Give a(w(d)).\nAnswer: -8*d**4 - 3456*d**2 - 373248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11380 is divided by 127.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - 3*b + 2*b**2 + (0*b - 2*b + b)*(-1 + 1 + b) + (-b - 1 + 1)*(3*b - 3*b - b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 21*s**2 + s + 21. Let w be 3\/3 + 0 + -22. Let h be n(w). Let r(p) = 0 + 229*p + h - 220*p. Let x(d) = -2*d**2. Determine x(r(q)).\nAnswer: -162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 - 2*l + 2*l - 1127*l + 1127*l - 442*l**2 + (-1 - 2 + 2)*(-3*l**2 + 4*l**2 - 2*l**2) + 2*l**2 - 2*l + 2*l.\nAnswer: -436*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i + 5*i - 4*i)*(-17*i**2 + 8*i**2 - 3*i**2) + (-i**2 + 2*i**2 + 4*i**2)*(4*i - i + i) to k + q*i**2 + r*i + l*i**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 8823*c**2 - 902586*c - 893760.\nAnswer: 3*(c - 3040)*(c + 1)*(c + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 8*h + 21)*(1 - 5*h**2 + 3*h**2 - 3)*(1 - 3 - 1) to c*h**3 + r*h**2 + w*h + f and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18301 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 11:29 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1901106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/31 (b) -3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - (8 - 8)) + 32.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 272948 and 1432977.\nAnswer: 5731908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68375 + -42640. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnjannaennwjana. Give prob of sequence nan.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -258*x + 2007 - 6444 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -97*s - 645. Let h be o(-7). Which is bigger: 432\/13 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 4, -141?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert a688 (base 12) to base 4.\nAnswer: 10131020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1807, -14549, -49133, -116479, -227507, -393137, -624289?\nAnswer: -931883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476 = -51*q + 1360. Calculate the remainder when 128 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + c. Let j(h) = -2*h**2 + 3*h - 1. Suppose 4*a + i = 14, -a - 14*i + 16*i - 1 = 0. What is a*x(g) + j(g)?\nAnswer: g**2 + 6*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -4, -4\/5, 0.07, 1\/5, 17, -16?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 + 0*g + 0*g + 1 - 1 - g**3 + (0*g + 2*g + 0*g)*(-2*g**2 + 0*g + 0*g) - 3*g**3 + 2*g**3 + 2*g**3 + 14*g**3 - 159 + 159.\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45410161*j**2*s**4 - 124*j**2*s**2 - 63996*j**2 wrt s?\nAnswer: 1089843864*j**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-14))\/(-6))\/(1\/(-7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -10891174213?\nAnswer: -10891174213.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -3*s. Let i be 2 + s - (-5 + 4). Suppose -12 = 5*f + 8, i*f = 2*m - 34. What is the remainder when 50 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 39*o**3 + 13*o**2 + 3*o. Let i(x) = -39*x**3 - 13*x**2 - 4*x. Let f(q) = -4*d(q) - 3*i(q). Find the third derivative of f(h) wrt h.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 21 - 51 = 0. Let h = q - 11. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 1665 - 235 = -73*z - 30*z, 74 = -5*z - n for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -4. Factor -s**2 - 4*s**4 - 8*s**2 + 5*s**x + 2*s**4 + 6*s**3.\nAnswer: 3*s**2*(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 3*d - 10*d**2 - 77 - 52*d**2 + 22*d**2 + 43.\nAnswer: -40*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -3 - ((3 - 4) + -6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16769 and 533?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 14. Let s be o(-4). Suppose 0 = -2*w + s, -3*j + 7*w - 10*w = -600. Calculate the remainder when j is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - z + z)*(1576 + 623 + 442 + 1312) in the form v*z + h and give v.\nAnswer: 7906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8855 and 20020.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 2, 1\/142 in descending order.\nAnswer: 2, 1\/142, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -9 + (1 - 11) - -5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 25 = u, 7*u + 2*o = 3*u + 28. Suppose u*b - 3*n - 27 = 0, 0 = -3*b - 5*n + 7 - 18. Solve -5*j + b*a = -2, -2*a + 4*a = 3*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/2*((-18048)\/2048)\/47?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89736 + -47017. Is j\/((4 - 0) + -4 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.061 - 0.069. Let a = -0.129933 - h. Round a to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*b**3*l**2 + 8*b**3*l + 660169*b**3 - 1619*l wrt l?\nAnswer: -28*b**3*l + 8*b**3 - 1619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*q - 11 = 0, d - 3*q = -q + 1. Let y be (-3)\/3 - d\/12. What is the third biggest value in y, -0.05, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 158410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*j + 4*w - 22, j = 5*w + 23. Suppose -28 + j = -4*k - 3*n, -5*n + 16 = -2*k. Factor l**k + 0 + 1\/3*l + 1\/3*l**4 + l**3.\nAnswer: l*(l + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5584831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1 - 12 = -c, 3*c = 4*y - 13. Suppose -c - 3 = -2*x. What is the nearest to 1 in -0.5, x, -1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-249)\/332*((-40912)\/(-2160) - 19).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 + 78*h**3 + 177*h**2 - 8892*h - 38988.\nAnswer: -3*(h - 19)**2*(h + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 + 112. Suppose 0 = o*y + y - 54. What is the lowest common multiple of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -9526 by -21.\nAnswer: 9526\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + ((sqrt(896) - 1*sqrt(896) - sqrt(896)) + sqrt(14))\/((sqrt(18) + sqrt(2))*2) + 4)**2.\nAnswer: -7*sqrt(7)\/4 + 407\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71136401639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 439\/75?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 595812 and 9618108?\nAnswer: 67326756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y + 11530305 - 11530310 + 3*y.\nAnswer: 8*y - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - 80 - -31 - -52.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 163*c - 675. Determine i(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 - 149. Let f = 82 + i. Suppose 12*v = f*v - 243. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*s - 676 = 848 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22679 is divided by 197?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*c + 138*c + 417 - 462 = -4*l, l = 3*c + 34 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52242 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-3)\/210)\/((-6)\/(-21))*(-1770)\/(-12)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(210))\/sqrt(6))\/(-4*sqrt(14)\/sqrt(2)))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*w**2 - 33*w**2 - 16*w**2 - 40*w**2 + 50*w**2.\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 176 - 814. Let l = -268 - u. Calculate the highest common factor of 20 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -21. Which is the closest to y? (a) -3 (b) -0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3048773*t - 6097557. Calculate k(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/4 + 1872701*g**2\/4 = 0. Calculate g.\nAnswer: 0, 1872701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -198 - 185 + 386 - 14*k. Let a(m) be the first derivative of -m**3\/3 - 4. Calculate s(a(q)).\nAnswer: 14*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**2 + 11*t - 10. Suppose 6 = 2*b - 8. Let n be m(b). Let a = n - -67. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3048398 is divided by 200?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 112 = -2*l + 349, z + 601 = 5*l. Let g = 32 - 24. Let x = l - g. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17\/((-136)\/96) + 2. Let n be (28\/20)\/7 + (-78)\/f. Solve n*i + 8 = 12*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**2 - 8*y + 1. Let f be z(-2). Let i = 11 - f. Let k = 21 - i. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2674774099?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 300 and 2799.\nAnswer: 839700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3993025 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m. Let h(p) = -662*p + 37. What is h(z(r))?\nAnswer: -5958*r + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - 22?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*f = -0*z + 12, 3*f - 15 = -3*z. Suppose -d + 3 = 0, 5*c = d - z*d + 38. Let i(t) = -t**2 + 0*t**2 + 6*t - c + 3. Calculate i(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-16)\/j*j)\/j*j*j**(-16)\/j)\/(j\/j**(-6\/11)*j*(j*j**(-15)*j)\/j) assuming j is positive.\nAnswer: j**(-237\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 106*l + 1. Let y(s) = s**2 - s - 4. Let h be y(3). Let u be m(h). Suppose 3*t = -63 + u. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*w + 2*q + 30, 5*q - 21 = -4*w. Calculate the least common multiple of 7 and 5\/((-25)\/w)*-5.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z + 12 = 0. Let f = 7 + z. Is -5 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 8:20 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/6 and -113\/42934298.\nAnswer: 128802894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -8*q**3 + 38*q**2 + 13*q - 8. Give k(6).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247361 = -72*j - 245633 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 294517681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 13*m**2 - 3*m - 34. Let u be p(-13). Let t be 9\/(45\/10)*u\/(-30). Let h be (-8)\/(-28) - 172\/14. Is h less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*h + 4*p, -h = -4*p - 1 + 10. Suppose -4*d + 2*s = -0*d - 66, 4*d = -5*s + 101. Calculate the remainder when d is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.4353917 to one dp.\nAnswer: 13.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50939048261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/2, -0.08, 205, -2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from rvrhzh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 179923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 5. Let i be (8\/o)\/(5\/35). Solve -i = 2*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1150*r**2 + 299*r - 299. Let c(d) = -23*d**2 - 6*d + 6. Let w(a) = -299*c(a) - 6*g(a). Let p(s) = s**2. Calculate p(w(t)).\nAnswer: 529*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c**2*l - 759*c**2 + c*l - 2*c + 49*l - 152 wrt c.\nAnswer: 6*c*l - 1518*c + l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sll when three letters picked without replacement from lsllllll?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 (base 7) in base 8?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 291056, 291105, 291160, 291221?\n\"Answer: 3*v**2 + 40*v + 291013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 times 0.0709512?\nAnswer: -0.08514144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-5)*(-117)\/156?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -2)*(0 + 1). What is the common denominator of t - (-14)\/(-20)*2 and (-17)\/(-33*3\/(-18))?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 8 + 168*f - 346*f + 18*f**2 + 180*f. Let d(z) = 12*z**2 + z + 5. Calculate 8*d(q) - 5*p(q).\nAnswer: 6*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 0 + x - 6*x + 0 + 2. Let o(c) = 2*c**2 - 9*c + 5*c + 4*c. Calculate u(o(q)).\nAnswer: -10*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -2. Suppose 5*a - x = 15. Let h(f) = -f**3 + 6*f**2 - f. List the prime factors of h(a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 13*c**2 + 0 + 0*c**6 - 2\/105*c**7 + 0*c + 11\/2*c**3 + 0*c**5 + 0*c**4. What is the first derivative of u(k) wrt k?\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 121 - -11?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 144, -3, 6 in descending order.\nAnswer: 144, 6, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/11 (b) -4 (c) 3 (d) -11 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004 (base 8) in base 13?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -19*u + 3*a, -2*u + 8*a + 3 = 6*a + 3*a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 10*t**2 - 90*t**2 - 136*t**2 + 49*t**2 - 57*t**2 as s + o*t**2 + u*t and give o.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 56 = 5*l, 0 = v + 5*l - 13 - 1. Let k = v - 11. Differentiate -k + 5*i - 11*i - 2*i**2 + 6*i wrt i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 46\/14 - (-6)\/(-21). Suppose t = g*t - 340. What is t rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 9. Suppose -u = -0*u - 2. Suppose -4*k - 3 = u*h + 11, -d = 2*h + k. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 - (0 - 5)) - 2 - -16.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 745 and 3427.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (5 + (-4054)\/476). Let s = 1355 - 46073\/34. Let m = s + g. Which is the biggest value? (a) 0.2 (b) -2 (c) 0.4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3126, 5774, 7892, 9480?\n\"Answer: -265*b**2 + 3443*b - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**4 - 6*z + 1. Let m(n) = -4*n**4 + 8*n**3 + 17*n**2 + 40*n - 5. Let p(f) = 5*j(f) + m(f). Factor p(a).\nAnswer: a*(a + 1)*(a + 2)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzzzlqlqzzrlz. Give prob of picking 2 q and 2 z.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -2841059\nAnswer: 198874.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/4)\/t**4*t*t\/(t*t**0)*t*t*t*t**3 assuming t is positive.\nAnswer: t**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4000)\/(-240)*-9*1\/(-3)*(-30)\/50.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**2 + o. Let w(y) = y**2 - y - 2*y**2 + 3*y**2 + 3*y**2. Give -6*b(r) - 7*w(r).\nAnswer: -5*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 - 6*x**2 + 8*x**2. Let h(w) be the first derivative of -2*w**3\/3 + 1. What is u(h(r))?\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 567 = -121*s - 42*s + 1708. Let g(x) = 7*x + 3*x - 2 - x**2 - 2. Calculate g(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160606*-7488\nAnswer: -1202617728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a7 (base 13) to base 11.\nAnswer: -2574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24100 is divided by 8029?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**4\/4 + 2*v**3\/3 - 2*v**2 - 4*v + 6. Give x(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 2 + 29 = 0. Let -4\/5 + 2*c - 8\/5*c**2 + 2\/5*c**x = 0. What is c?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4\/3, 5 in ascending order.\nAnswer: 0.2, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 9\/(-18) - (-398)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41208.46um to meters.\nAnswer: 0.04120846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63\/36*4548\/(2 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 113) + (-71 - -94) + (2 - 14) + -6?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -362 - -344. Calculate the least common multiple of ((-639)\/12)\/(x\/24) + 3 and 16.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**(-32)\/(g**1*g)**28)**(-22\/7) assuming g is positive.\nAnswer: g**(528\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - ((7 - (1 + -12)) + -7 - 23)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 89460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52625211 is divided by 64.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936230 is divided by 855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -786390, 0, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 991213*f**5 + 128355*f**2 - 16 wrt f.\nAnswer: 59472780*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -88, -174, -284, -412, -552, -698?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.3 - -18.3. Sort -3\/10, 9\/4, x in increasing order.\nAnswer: -3\/10, x, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 equal to 90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 520, 519, 518, 517?\n\"Answer: -j + 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y**0\/y)\/y)*y\/y**(-1\/5)*y*y**4*y**(-2) assuming y is positive.\nAnswer: y**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/4608 and 33\/807856.\nAnswer: 232662528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4) + 2\/4. Let k(j) = -3*j**3 + 3*j**2 - j - 3. Let i be k(-1). Solve v = -5*m + 2*x + 12, i*m + 2*x + 0*x = 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6447.\nAnswer: 3, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/12)\/(182\/5304*17).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 38*k**2 - 1 + 29*k**2 - 26*k**2 - 35*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 3. Suppose 4 = k*w - 0*w. Solve -o - 3 = -w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39927 - -3?\nAnswer: -39924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55228275 to the power of 1\/2, to the nearest integer?\nAnswer: 7432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -41?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 2*k**3\/3 + 5*k**2\/2 + 10*k. Let b be z(-2). What is the smallest value in 9, -6\/11, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*225715.2\nAnswer: -112857.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 448567*w = -448572*w + 17, -3*s - 6 = -w - 2*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*h + 45*h - 567 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106 + -4?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136752 and 56452?\nAnswer: 175452816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4962911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -156, 11, -1, 2 in descending order.\nAnswer: 11, 2, -1, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 20*o. Let a(d) = -2*d**2 - 1 + 1 + d**2. Give i(a(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*q, -44*t = -40*t - 4*q - 28. Is -1190\/11 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 4 = -12*l. Sort l, 4, 0.2 in decreasing order.\nAnswer: 4, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, 0.01, 7\/2, -6, 3\/8, 10\/9?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/3870 and 103\/312.\nAnswer: 201240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 416?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + k**2 - 14. Give b(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3849\/13 or 296?\nAnswer: 296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o - 460. Suppose -1557 = 227*c - 10637. What is the smallest common multiple of o and c?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -32034*s - 1057173. Determine h(-33).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 + -135125?\nAnswer: -135140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 7:02 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -62*a - 28*a. Solve 3*n = -2*d + 3, -5*d = -5*n - a + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 22) + (1 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 0 + 0 - 1222*x**2 + 1223*x**2. Suppose 0 = 5*o - 7 + 2. Let h(y) = 1. Let l(i) = -i - 1. Let g(p) = o*h(p) + l(p). Give g(j(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/7))\/(y*y*y**5*y)*y**(-2\/11)*((y*y*y\/(y\/((y\/y**(-2\/13)*y)\/y)))\/y*y)\/y)\/(y**(4\/3)*y**(-4)\/y*y\/y**(3\/7)) assuming y is positive.\nAnswer: y**(-6662\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbz. Give prob of picking 2 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 6:21 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 113*u**2 - 351*u - 711. Determine q(-110).\nAnswer: 1599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 579776?\nAnswer: 5\/579776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 7*l + 73. Let c(x) = -x**2 + 8*x - 72. Let i(y) = 6*c(y) + 7*p(y). Is i(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/56)\/(6\/(-21)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*b + 2*b - 59, -3*v + 87 = 3*b. Suppose 1354*f - 96 = 1350*f. Calculate the highest common divisor of f and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12*n - 7. Let g(z) = 2*z - 5. Suppose 3*v = 1 + 17. Let u be g(v). Is j(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d - 55*d + 6*d - 36*d as i*d + y and give i.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -138475\/22 - -6293. Calculate the common denominator of -77\/10 and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1482114 and -3?\nAnswer: 3.1482114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -25*r + 1. What is y(1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**8\/168 - 6*z**7\/35 + 13*z**6\/20 - 2*z**5\/3 + 430*z**2 - 2. Factor x(c).\nAnswer: -2*c**2*(c - 1)**2*(c + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than or equal to 29\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, m: 2, z: 3, h: 1, p: 3, o: 1}. What is prob of sequence qmhz?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/9))**(-5\/6))**(4\/7) assuming d is positive.\nAnswer: d**(-110\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.71*-44376\nAnswer: -31506.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 9*w. Let h be y(-9). Solve 2\/3*u**3 + h*u**2 + 0*u + 0 - 7\/3*u**4 = 0 for u.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - u - 125 + 217 = -45, -5*u = 4*z - 179 for z.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n - 352 = -53*n. Solve r - n = -4*f, -29*f = -4*r - 34*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 74*w**4 + 19. Let f(l) = -665*l**4 - 170. Let d(m) = 4*f(m) + 35*q(m). What is the derivative of d(s) wrt s?\nAnswer: -280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -5 (b) 0.1 (c) -0.1 (d) -16\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 m, and 1 i when three letters picked without replacement from {i: 2, c: 2, a: 1, b: 1, m: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8553, -8493, -8435, -8379?\nAnswer: -8325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/4, -1.1, 0.5, -2\/5 in increasing order.\nAnswer: -7\/4, -1.1, -2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437826 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2 (b) 0.6 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -3*b - 7, -3*b + r = -110948 + 110925 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*z + 6 + 29 = 0, 6 = -2*t - 4*z. Let r = 13 + t. Suppose r = 2*i - 0, 2*i + 8 = 2*f. Solve 5 + 5 = -f*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020698 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45*h**2 - 18 + 18)*(-2 - 4*h + h + 5*h) as v + f*h**2 + b*h + z*h**3 and give z.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1859\/555 <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -56 + 50, -3*g + 7118709 = 3*y. What is g rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -62, -96, -130, -164, -198?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 9 + 3 = 0. Let k be 4\/(-1) + o + 7. Put -5, k, -7 in ascending order.\nAnswer: -7, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c. Let s be 2\/((-3)\/(-2) - 1). Does 4 divide z(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-114)\/(-21) - 3. Let q be (-628)\/(-540)*3\/(45\/10). Let u = -2\/81 - q. Sort -3, u, -0.4, i in decreasing order.\nAnswer: i, -0.4, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + 2*p**2 + p**3 + (-91 + 27*p + 91)*(-4*p**2 + 2*p**2 + 4*p**2 - 3*p**2 + 3*p**2 - 2*p**2 + (2*p - p + 0*p)*(3*p + p - 6*p) - 10*p**2 + 12 - 12).\nAnswer: -323*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1100 - -2152. Let m = y - 1048.862. Round m to one dp.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.067 times 2.1705\nAnswer: 0.1454235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48950 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 571171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oswwmwmw. What is prob of sequence mwso?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1133960 not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from {d: 9, u: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16015 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 - l. Is 4 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/7))\/g**(-3))**23 assuming g is positive.\nAnswer: g**(690\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-140)\/(-2)*1\/1. Let t be (-30)\/2*(-2)\/3. What is the highest common divisor of t and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 251 + -251. Which is the second smallest value? (a) 5\/2 (b) j (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -3)\/(1\/4). Suppose -510*z + 519*z = 18. Let x(o) = 27*o**2 + 1 - 2*o**z - 26*o**2 - 4*o. Give x(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/18 + (-238)\/18. Let q = 7 - p. Suppose -4*y + q = 4. Calculate the smallest common multiple of 5 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32941.36 years to centuries.\nAnswer: 329.4136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 19 (b) 2\/13 (c) 2\/111 (d) 1 (e) 138\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 3. Let f be p(-4). Let a = 1 + f. Suppose -2*r = -t - r + 3, -4*r + 24 = 5*t. Solve -3*n - 2 - t = a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76934, 76086, 75238, 74390, 73542?\nAnswer: 72694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 8256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 15*h**2 - 73*h - 11. What is x(19)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10937395 or 0.2?\nAnswer: 10937395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -118\/13 smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 1\/8*z**4 - 1\/20*z**5 + 0 - 1\/6*z**3 + 0*z - 34*z**2. Give c(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.8 - 3.2. Let j = 15 + l. Put -2\/3, j, -5 in descending order.\nAnswer: -2\/3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51575 is divided by 4591.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*c - 7*m + 40, 0 = 2*c - 4*m - 40. Suppose -555 = -5*u + 8*j - 4*j, 4*j = c. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -317*k**6\/3 + 932*k**2 + 1950. What is the second derivative of q(d) wrt d?\nAnswer: -12680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 120 + -36. Let x = 81 - c. Let q(y) = -y**3 - 2*y**2 + y + 9. Is q(x) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 8:13 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32104*d**5 - 23*d**3 - 8413*d**2 + 133*d.\nAnswer: 1926240*d**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 91*k**2 + 295*k + 4615. Let u be a(87). Let c be 1 + 0 + 14\/(-10). Let q = 0.1 + -0.2. What is the nearest to q in c, u, -3\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**3 + 133536*j**2 - 2004363*j - 28853496 = 0. Calculate j.\nAnswer: -44527, -9, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10251 + 1759 = 209*p + 7702 + 7632 for p.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/4*u**3 - 11\/4*u - 1\/2 + 9\/4*u**4 - 7\/4*u**2.\nAnswer: (u - 1)*(u + 1)**2*(9*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16973*w + 1112580 = -313152 for w.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 13*l + 35 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**3 - 4*f**3 - 4*f**3 + (0*f**2 + f**2 + f**2)*(1 - 1 + 2*f) - 5*f**3 - 3*f**3 + 19*f**2 - 20*f**2.\nAnswer: -6*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9428 a factor of 4171830660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 8*p - 13. Let h be v(10). Suppose 18 = 5*u - h. Suppose 0 = -a + 3*a - 2. Solve -a = -q, 2*q = -r - 0*q + u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1920*z - 1323. Calculate w(0).\nAnswer: -1323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -1 + -81 + 65 + (4 - 1 - 6)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*q - 1035 + 1051 = 0, -4*l + 24 = 4*q. Which is smaller: l or 34\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + 7 - (-3 + 1) - -1. Suppose -w*m - 16 = 3*k, -k - 4*k - 25 = 5*m. Is -788*((-3)\/(-6))\/m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**3 + 285*h**2 + 27075*h - 312. Factor o(d).\nAnswer: 3*(d + 95)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w - 3. Let m(t) = -5*t + 7. Let f(p) = 7*h(p) + 4*m(p). Let o be 0*(-2*1)\/(-4). Is f(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4, -4*m = -7*a + 5*a + 32. Suppose -3*y = -19 + 49. Which is greater: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 2:50 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 13*i + 252. Let c(p) = -29*p - 506. Calculate -4*c(n) - 9*u(n).\nAnswer: -n - 244","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*x - 6*x + 62, -5*c - 13 = -2*x. Suppose -17 = f - x. Solve 0 = 3*l - f*r - 10, -5*l + 2*l + r + 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - -2 - ((-16 - 23) + 9 - -41)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4305051 to four decimal places.\nAnswer: 0.4305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from teltp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 28*t + 1988. Let s be f(-71). Solve -2*r - 535 + 537 = s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/20 + (-12)\/(-15)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 e when three letters picked without replacement from {e: 12, r: 3}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k. Let b = 0 - -2. Let v(s) be the third derivative of 0*s + 0*s**4 + 0 - 1\/20*s**5 + 0*s**3 + 2*s**b. Give v(m(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 158087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60419116049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 - -1. Is u != 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*d**4 - 454*a*d**3 - 10*a*d**2 + 637765*a - 11*d wrt d.\nAnswer: 24*a*d**2 - 2724*a*d - 20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 2\/9 (c) 2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -1, 6, -6.\nAnswer: -6, -1, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 5 = 4*z + 3*i, -i - 3 = z. Suppose -f + 4*c - 375 = 4*f, -2*c + 300 = -4*f. Let q = z - f. What are the prime factors of q?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 3.7 (b) 0.4 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8514*z**2 - 3581*z**2 + 3028*z**2.\nAnswer: -9067*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -3*x + 4*m - 14, -5*x - 20 = 5*m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 44844.61 centuries?\nAnswer: 4484.461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 143\/180 + -2\/45. Let r = 4 + -3.7. Let s = r + -0.5. Which is the third smallest value? (a) 0.3 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32251.\nAnswer: 32251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4138111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 4*f + 60 = 0. Suppose -2*h - z + 41 = 0, 3*h = -4*z - 0*z + 54. What is the smallest common multiple of h and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41540*c**2 - 2*c + 676705.\nAnswer: -83080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 292007504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x**(2\/3)*x)))\/(((x*x**(1\/6)*x)\/x)\/x*x))**(-15\/2)*(x**(-1\/3)\/(x\/(x*x\/(x**(-2\/9)*x))))**12 assuming x is positive.\nAnswer: x**(-151\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15d5 - -1fe5?\nAnswer: 35ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, 30, 35, 38, 39?\n\"Answer: -c**2 + 10*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -16, -8, 14, 56, 124, 224?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9278993*y**5 + 9651390*y**2 wrt y?\nAnswer: -556739580*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 3:51 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*u - 28 = 0, 2*u = 4*c - 12 + 8. Determine j so that -1142*j + 3*j**4 + 16*j**3 + 1110*j - c*j**4 - 2*j**5 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124.4 times 16.411\nAnswer: 2041.5284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 6)\/((-11514)\/(-606))?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099340 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 955009 and 29546.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 - 45. Solve -5 = 2*m - a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8404 = -72*v + 73*v, 5*v - 41952 = 2*k. List the prime factors of v.\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 11*f**2 - 5*f**2 - 4*f**2 + 7*f. Let h be ((-4)\/10)\/((-3)\/(-60)). Determine k(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 4*m + 2. Let q be y(4). Let h = 1.16 - 0.96. Let v = 1.9 + -2. Which is the nearest to q? (a) 3 (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9957169 * -84\nAnswer: -836402196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) + (-21)\/(-4). Let t = -12.9 - -12. Let d = 0.1 - t. What is the nearest to d in r, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 988137 to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**6\/60 - 93*l**5\/10 - 185*l**4\/12 + 31*l**3 + 371*l**2\/4 + 1323*l - 1. Solve d(v) = 0 for v.\nAnswer: -371, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 504. Suppose -4*b + 408 = 4*f, 4*b - 48 = -5*f + j. Round f to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-1972)\/32)\/17.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2)*2\/(-4)*((-238)\/118 - -2).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(4))\/sqrt(4) + -6*sqrt(20).\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 0 + -2 + -9 + 5. Is (-179)\/(-1 + c + 4) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 99 - 54 + 1 as u + v*c and give u.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 4:44 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*j + 3*v, j = 2*v - 1 + 7 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 58 = -4*y - 41, -y = 3*a + 1. Let x(n) = n**3 + n**2 - 2*n + 1. Let q be x(-2). Sort a, 3, q, -27 in decreasing order.\nAnswer: 3, q, a, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -490 divided by 9\nAnswer: -490\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 302\/481 - 6\/481. Factor 0 + 10\/13*a**2 - o*a**3 - 2\/13*a.\nAnswer: -2*a*(a - 1)*(4*a - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -97853138 and -0.4.\nAnswer: 39141255.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 7:51 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3351455?\nAnswer: 5, 53, 12647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 8686*f**2 + 315362*f + 324046.\nAnswer: -2*(f - 37)*(f + 1)*(f + 4379)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - -1)\/((-1)\/(-28)) is divided by 43\/3 + (-138)\/(-18) + -7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b**2 - 8*b**2 - 3*b**2)*(404 - 2853 - 419) in the form y + m*b + d*b**2 and give d.\nAnswer: 22944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (178 + 3\/1)*-1. Let r = -57 - y. Suppose 76 = 5*j - r. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 11*b. Let r be q(11). Suppose 3*d + 9 = w, w + 0*d + d + 3 = r. Solve g + 16 = 5*j, -3*j - 2 + 14 = w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14, 185, 682, 1667, 3302?\n\"Answer: 27*c**3 + c**2 - 21*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (-2 + sqrt(242)*1 + 0 - ((sqrt(242)*2)**2 + -1 + (sqrt(242) + -5 + sqrt(242) + -1 + sqrt(242))**2))).\nAnswer: -9549 + 1221*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - -312?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 r, and 1 b when four letters picked without replacement from {m: 6, t: 1, a: 5, r: 2, q: 3, b: 2}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -1 - 76) + -1. Let w = o + 119. What is the highest common factor of 16 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 525507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 5*a - a**2 - 10*a**2 - 10*a**2.\nAnswer: -19*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t + 24*t - 8164 = -257*t for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (17\/(-3))\/(-21*3\/(-7) - 7) and 4\/6 - 334\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -24*z + 28. Let j(v) = 38*v - 43. Calculate -5*j(w) - 7*k(w).\nAnswer: -22*w + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and -7710590.\nAnswer: -7710584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9015892\/1555 + -5798. Which is bigger: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + -0.2. Let i = 3 + -4.4. Let m = b - i. What is the closest to m in 2\/5, 0.2, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/17892216 and 37\/13916168.\nAnswer: 125245512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5198 = -1226. Let t be (6\/9)\/(2\/n). Let c = 499 - t. What is the greatest common factor of c and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 - 43*t + 500. What is x(13)?\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-20))\/(9\/(-30)). Suppose u = 5*j - 8. Let n(y) = 992 + 15*y**j - 992. Let c(m) = 2*m**2. What is c(n(i))?\nAnswer: 450*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154200 and 246720?\nAnswer: 1233600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3\/2, -1\/2, 0.022?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b22c6 (base 14) in base 4?\nAnswer: -3223330312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1921\/7 + -274. Suppose -d = 2*d + 3. Which is smaller: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**6\/6 + 7*o**5\/4 - 10*o**4\/3 - 18*o + 11. Factor b(y).\nAnswer: 5*y**2*(y - 1)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -5. Let t = -2 - o. Is t at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1706\/5 + -341. Which is the smallest value? (a) 14 (b) -3 (c) 0.5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - (-7 + -14 + 18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -174.4 smaller than -13086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1751 = 3*n - 846 - 806 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -14. Suppose v*g - 10 = 25. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3020 and 1140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2343, 2355, 2381, 2427, 2499?\nAnswer: 2603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4603578, 9207183, 13810790, 18414399, 23018010, 27621623, 32225238?\nAnswer: 36828855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10415150, 10415117, 10415084, 10415051?\nAnswer: 10415018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*i + 78 - 185 + 291 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/15*(15 + -10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in -4, -1, 3, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8 = -2*d, 0 = -5*d + 3*a - 1 - 5. Suppose b - 2*b = 5*m - 26, d = 5*m + 2*b - 27. Suppose m*f + 14 + 21 = 0. Is f equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-174)*(-20 + 31 - 10)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*i**2*o**3 + 143*i**2*o**2 + 699*i**2*o - 7*i*o**3 - 2*i*o - 8 wrt o?\nAnswer: 264*i**2*o + 286*i**2 - 42*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/6*(-274)\/(-2466)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and -32.\nAnswer: -832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -7.3. Let l = 0.12 - 3.12. Let s = -15 - -17. Which is the second biggest value? (a) v (b) s (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 9 = -4*y + 2*y, -4*y = w + 9. Let z be 2*1 - (w - 38). Let g = z - 15. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2567?\nAnswer: 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 4*a**2 - 3*a - 7. Let o be f(5). Let m(k) = 0*k - o*k + 2*k. Let j(u) = u - 3*u + 3*u. Determine 3*j(t) + 4*m(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -3*x**2 - 49*x - 34. Let w be p(-6). Let i = w + 62. Is i a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, -5, -3, 1 in decreasing order.\nAnswer: 1, -3, -5, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9927 minus -35.7?\nAnswer: 9962.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 314\/(-84) - (-13)\/91 and 53\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - (-166)\/(-30)) + 0 and (-2)\/22 + 20567\/(-20724).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 12. Let j = 3 + -1. Suppose -4*i + 27 = 8*h - 5*h, -i + h - 2 = 0. Which is the third biggest value? (a) s (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z - 2. Let q(u) = -31*u - 9. Let g(v) = 11*l(v) - 2*q(v). What is the tens digit of g(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(1\/(-24)*(28 + -30)). Find the common denominator of 32\/615 and (-12)\/32*(i\/(-9) - 3).\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 49 in ascending order.\nAnswer: -2, -1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.454 plus -39040851606?\nAnswer: -39040851606.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 800*u + 766*u - 1556*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26260526, 26260527, 26260528?\nAnswer: 26260529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 35*m - 5. Let r(z) = z. Let w(l) = -6*r(l) + x(l). Does 19 divide w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, -0.07, 207409?\nAnswer: 207409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130242022 is divided by 46665.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28885611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3227408 is divided by 14470?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 12*y**2 + 28*y - 26*y - 35 - 19*y - 19 + y**3. Calculate t(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k**(1\/3)\/k*k)\/k)\/((k\/k**4)\/k))\/(k**(2\/3)\/k*k**1) assuming k is positive.\nAnswer: k**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 1302354?\nAnswer: 1302354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/241 + -253\/1446. Let k be (1 - 15) + (-12)\/(-2). Let f be (10\/k)\/(16\/128). Sort z, f, -2\/11 in decreasing order.\nAnswer: z, -2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/2 - 314474*x = 0 for x.\nAnswer: 0, 628948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 1368. Let q(w) = 9*w**2 + 36*w - 8. Let i(m) = 7*m**2 + 27*m - 6. Let t(d) = 4*i(d) - 3*q(d). What is t(k(x))?\nAnswer: x**2 + 2736*x + 1871424","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*f + 133*f + n - 1281 = -322*f - 4*n + 2*n, 0 = 3*n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 43011.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4425 is divided by 317?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**5\/10 + 13*d**4\/12 + 7*d**3\/6 - 172*d - 302. Let u(b) be the first derivative of o(b). Factor u(t).\nAnswer: -t*(t - 7)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21b2 (base 16) in base 10?\nAnswer: 8626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*(-5)\/50*2\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117617490 take away -8?\nAnswer: 1117617498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -493 or 1227?\nAnswer: 1227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4842555, -5, 11.\nAnswer: -4842555, -5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from vovvvvvovvoovovvvv?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -955.85549652 - 949?\nAnswer: -1904.85549652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpl when three letters picked without replacement from {v: 2, p: 2, l: 1, u: 4, a: 2, z: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 + o + 1. Let n be h(-1). Suppose -2*i = -n*i + 16. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 4375?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*1*1\/2. Suppose -10 = k*r + 2. Let u be 3\/(-2 - 14\/r). Calculate the highest common divisor of 27 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -12 - -9) + (-2 - -6) + -12?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 435*n + 166*n + 16359 + 469 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*i*m**3 - 4777030*i*m**2 + 1295*i*m + 2*m**3 + 25794*m wrt m?\nAnswer: -30*i*m - 9554060*i + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/167 (b) 21 (c) 71 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 26 = -5*l, 2 = -3*r + 100*l - 102*l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.03, -0.02 in ascending order.\nAnswer: -2\/7, -0.02, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4751.\nAnswer: 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 8*c - 82*u + 83*u, -32 + 24 = -2*c + 2*u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Work out 359 + 0.29.\nAnswer: 359.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20, -6, -56, -124, -204, -290?\n\"Answer: l**3 - 18*l**2 + 21*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3766 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o - 706. Give c(-104).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/3 and 91\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 46, 2, 675, -8.\nAnswer: -8, 1, 2, 46, 675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.072 - 1.852. Let a = 2.08 + z. Put a, 49, 0.5 in descending order.\nAnswer: 49, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20\/(-25)*(-25)\/2 and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -3869893*r**6\/360 - 24649*r**5\/20 - 471*r**4\/8 - 3*r**3\/2 - 2*r**2 + 49. What is k in a(k) = 0?\nAnswer: -3\/157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358646 to the power of 1\/2, to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -3, 5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31221110 (base 4) to base 8.\nAnswer: 155124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8587252 to the nearest integer?\nAnswer: 2930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + y = 2*b + 9, -5*y = -2*b - 33 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + b = 7, 5*w - 27 = 15*b - 8*b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*5\/(-90)*(-7)\/((-252)\/(-8))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*j - 14 = -16, -17 = -2*f - 5*j. What is the common denominator of -1\/52 and (-348)\/(-8)*(f + 203\/49)?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -524.1028 + 0.1028. Let v = 526 + i. Suppose 0 = -3*z + 2*q + 5, 3*z + 2*q = 2*z + 15. Which is the third biggest value? (a) z (b) v (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-12)*-13 + 4\/16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 2*m**2 + 4. Let g be j(-2). Solve -o = 2*y - g*o + 23, 5*y = 4*o - 40 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6652 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-123)\/15990*26*5\/12*-2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 14. Suppose f = m*a - f - 190, 2*a - 101 = -f. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9004402.\nAnswer: 2, 11, 409291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3913 is divided by 140?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 27*o - 28*o + 17 = 0, -17*x - 63 = 158*o - 153*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 10. Let w be o(8). Let t be (84\/w - 6)*(-3)\/(-10). Let z be ((-3)\/9)\/(2\/4). Which is the smallest value? (a) z (b) t (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - ((-138)\/1)\/2. Suppose -5*p = -26 - 9. Suppose -2*i - q = -p*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123030001 - -1?\nAnswer: 123030002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 118 - 85 = 40*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/5 - 1\/5. Let r = -1\/10 + 13\/30. What is the smallest value in -0.2, t, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 202559 and 266.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*y - 135 = -5*g - 238*y + 128*y, 34 = 98*g - 100*g - 4*y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2232310 + -22023111?\nAnswer: -30322021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.02, -6\/7, 11, 5\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 6*l**2 + 7*l - 2. Let m be g(-4). Let u = -2 - -3. Sort m, u, -2, -3.\nAnswer: -3, -2, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/(-6)*216\/(-912).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7008 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184116790 is divided by 356.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -491*l - 259*l + 745*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -1, -4, -149, -3 in increasing order.\nAnswer: -149, -29, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 181773068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 2*s**5\/5 - 13*s**4 - 2*s**3 + 76*s**2 + 104*s + 139. Find a such that b(a) = 0.\nAnswer: -1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 8*s + 8. Let z be k(-9). What is the tens digit of (1*-42)\/z - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34345\/8352 - -1\/928. Let u = 623191\/20 + -31163. Calculate the common denominator of u and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/20 + (-22)\/165. Let m(o) be the third derivative of 7*o**2 - x*o**3 + 1\/6*o**4 + 0 + 0*o. Differentiate m(b) wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -14 + -20 - (-5 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/30 + (-4)\/(-12). Let h = t + 3\/10. Which is bigger: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1071600 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q + 1. Let u be r(1). Suppose 0 = -u*j + 9 - 1. Let l = 0 - j. Sort -5, 2, l.\nAnswer: -5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 4*h**2 - 27*h**4 - h**2 + 29*h**4 to the form u*h + l + j*h**2 + y*h**3 + q*h**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3235, 6426, 9607, 12778, 15939, 19090, 22231?\nAnswer: 25362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a**2\/7 + 351110*a\/7 - 39012\/7 = 0.\nAnswer: 1\/9, 19506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 930, 917, 872, 783, 638, 425, 132?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**3 + 639*k**2 - 129303*k - 393579 = 0. What is k?\nAnswer: -339, -3, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 343283, 687089, 1030895, 1374701?\n\"Answer: 343806*n - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 181 - 181. Let l be o*(6\/(-12) - -1). Solve l = 5*h - h + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 13*v**2 - 40*v + 19. Let k(f) = 6*f**2 - 20*f + 9. What is -9*k(m) + 4*l(m)?\nAnswer: -2*m**2 + 20*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12114895 is divided by 127?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/61 (b) -0.05 (c) -9 (d) -3 (e) 1\/3 (f) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*1)\/sqrt(8)*2)**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*109.\nAnswer: -21.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 173*u**2 - 11*u + 14. Let m(i) = -86*i**2 + 5*i - 6. Let f(k) = -14*m(k) - 6*n(k). What is the tens digit of f(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 - -71. What is the closest to 0.1 in 0.1, -13, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -1904 - 1771. Calculate the remainder when g is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0 - 1 = 0. Let b = -49 + 51. Let o be (1 - 8\/b) + (-1206)\/(-342). Which is greater: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96.15 - 0.52.\nAnswer: -96.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 83*v**2 - 3.\nAnswer: 83*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79047908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 14 = -i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 10 - ((7 - -42) + -31).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 2*z - 25 + 25.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 4:50 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*93.9\nAnswer: 159.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*15\/(-2)*24\/60?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16417130 and 18058843.\nAnswer: 180588430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-43)\/5)\/(42\/15) and (-1414)\/(-252)*6\/(-4)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 5:24 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(242))*-2)**2 + sqrt(242) + (sqrt(242) - (-2*sqrt(242)*-2 + sqrt(242))) + (-4 + sqrt(242) + 0 + sqrt(242) - -5*(0 + sqrt(242))**2).\nAnswer: -99*sqrt(2) + 2178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 31*m + 13*m)*((-3 + 2 + 2)*(5 - 4 - 3) + 4 + 4 - 5) to the form l + z*m and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*i = -67, 41 = c + 2*i - 7*i. Is 18 a factor of (c\/(-6))\/((-2)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**5 + 79580*q**4 - 317996990*q**3 + 10714473840*q**2 + 22383256995*q + 11350706580 = 0.\nAnswer: -1, 36, 7941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 12*s + 3. Let o be d(-12). Let q be 2 - ((0 - -2) + 0). Factor -1\/5*u**o + q*u + 0 + 2\/5*u**2.\nAnswer: -u**2*(u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5 + 12*w**4 - 64*w**2.\nAnswer: 2*w**2*(w - 2)*(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12318600 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110111111 (base 2) to base 3.\nAnswer: 1022112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3190\/30 - (-2)\/(-6). Let y = -119 - -80. Let g = s + y. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17280 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 0*m**3 + 0*m - 1\/21*m**8 + 0*m**7 + 0*m**5 + 1\/8*m**4 + 12*m**2 + 0 + 0*m**6. What is the second derivative of t(l) wrt l?\nAnswer: -320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:48 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 15 - 1. What is the remainder when 34 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 1908.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) 5\/3 (c) 6\/13 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1757.6 + 1757.1. Let x = 8 - 6. What is the third smallest value in x, m, -2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 21122?\nAnswer: -21200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21059*y**4 + 4726*y**2 wrt y.\nAnswer: 505416*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlqqiliriiaqriai. Give prob of sequence ar.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1830)\/1281*(-14)\/(-21)*210\/4?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6262 = -4*o + 2*r, 3*o + o = -2*r + 6242. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 15*s - 5. Let v be g(-7). Put v, 0, -1 in increasing order.\nAnswer: -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 13, 0.06, -2\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1242498 or -1242534?\nAnswer: -1242498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1546249 is divided by 1519.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15990 - 8764. What are the prime factors of m?\nAnswer: 2, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {f: 2, c: 1, s: 2, e: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 36*m - 285. Suppose 228 = 4*j - 4*a, -3*j + 2*a + 73 = -95. What is the remainder when j is divided by p(23)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60309 is divided by 3550.\nAnswer: 3509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93363 is divided by 415.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -22. Let x = -11 + l. Let a = -60 + 538\/9. What is the closest to a in -3, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 51*h**2 + 6*h + 17. Let b(d) = -17*d**2 - 2*d - 6. Determine 17*b(c) + 6*r(c).\nAnswer: 17*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 13*q - 46. What is g(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27348, 27347, 27346, 27345?\n\"Answer: -j + 27349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000697345344 to five decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -5.716592.\nAnswer: 17.149776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134788114.\nAnswer: 2, 29, 37, 107, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -9. Let i be 7\/(-2)*(-20)\/a. Solve -6*l + i*l = 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 + -27)\/((-1)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -18*u**4 - 2*u**3 + 18*u + 2. Let i(r) = -53*r**4 - 7*r**3 + 53*r + 7. Let a(v) = 7*c(v) - 2*i(v). What is the second derivative of a(j) wrt j?\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 9:04 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 3 - 2 = x, 0 = 3*x + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 3*q + 5*q)*(-11 + 4 - 39).\nAnswer: -92*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 4*j**2 + 14*j + 62. What is the lowest common multiple of g(-4) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 10*u**2 + 3*u + 2. Suppose 5*m + 2 + 8 = 0. What are the prime factors of h(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**3\/21 + 17. Let p(z) = 0. What is z?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*x**3 + 32*x**3 + 4*x + 20 - 4 - 22*x**2.\nAnswer: -2*(x + 1)*(x + 2)*(5*x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y + 12. Let x = 4 + -2. Calculate the greatest common factor of y and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970664 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 11:13 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 33*h**3 + 4*h**2 - 4*h + 2. Is r(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, i: 7, d: 1, u: 10}. Give prob of sequence duq.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 3*b - 2. Suppose 2 = -5*f + 57. Let n(k) = -2*k**2 - f - 6*k**3 - 2*k**2 - 16*k + 4*k**2. Let w be 1\/(-3)*6 + 0. Calculate w*n(d) + 11*q(d).\nAnswer: d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + -4*sqrt(228)\/(sqrt(24)\/sqrt(2)) + 5).\nAnswer: -20*sqrt(19) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3511*f**5 - f + 3685*f**5 + 2*f**3 - 2*f**3 + 36 - 424 wrt f.\nAnswer: 3480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1110 * 0.18.\nAnswer: -199.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12279 - 16*w - 34316 + 11016 + 11021.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1316 = 5140*c - 5093*c for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(5\/(-28 + 3)). Is 2\/a + (-3772)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193785619 to the power of 1\/3, to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*s - 3*s + 3*z - 30, s - z + 6 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, 1, -1, 5, -3, 239, 4 in ascending order.\nAnswer: -95, -3, -1, 1, 4, 5, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -82908521946 - -0.5769?\nAnswer: -82908521945.4231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -227 + 0?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/2, 0.3, 0, -4, -5962?\nAnswer: -5962","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12121200202002 + 11?\nAnswer: -12121200201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - p = -16, 4*r - p + 48 = -5*p. Let j = -10 - r. Find the common denominator of j\/((-72)\/(-123)) - 3 and -35\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*(-3 + sqrt(17)) - sqrt(17)))**2 + 4 + sqrt(272) + sqrt(17) + 1 + sqrt(17) + 0.\nAnswer: -8*sqrt(17) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 109 + 25. Let b = g - -165. Is 20 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52736816.\nAnswer: 2, 11, 109, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14944034 to the nearest integer?\nAnswer: 3866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 0*f**4 + 0 - 15*f**2 - 7\/30*f**5 + 0*f + 0*f**3. Let o(a) = a**2. Calculate o(p(n)).\nAnswer: 196*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 348 and 343 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -9 + -3 - (-1 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -779099, -778970, -778851, -778748, -778667?\n\"Answer: -h**3 + h**2 + 133*h - 779232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*t + t. Let n(p) be the second derivative of -p**5\/24 + p**4\/8 + 13*p**3\/6 + 37*p. Let g(x) be the second derivative of n(x). Determine g(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57842201?\nAnswer: 439, 131759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499373 a multiple of 719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from icwqrivv. What is prob of sequence iiwc?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (147*i**2 - 5*i - 189*i**2 - 1277*i**2)*(i - 3 + 3)*(2 - 3 - 1) as f*i**3 + c*i**2 + y*i + k and give f.\nAnswer: 2638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89568261 to the nearest integer?\nAnswer: 9464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 16\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l - 22*l - 20*l - 1961 + 1961 + 56*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81633792479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25768 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3659*q**6 + 5*q**5 - 350*q**3 - 488089598*q**2 wrt q.\nAnswer: 439080*q**3 + 300*q**2 - 2100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 166*u**3 + 33327*u - 33327*u + (0*u**2 + u**2 - 2*u**2)*(3*u - 5*u + 3*u) + 14*u**3 - 2*u**3 + 3*u**3 to l + s*u**3 + j*u + o*u**2 and give s.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 12185, 5 in descending order.\nAnswer: 12185, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8652 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314953 + 104986 + 104983 - 313*t + 104980.\nAnswer: -313*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*c**3 - 192*c**2 - 46*c + 20 wrt c?\nAnswer: 66*c - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 17*l**2 + 12*l - 26. Let f be v(-18). Suppose 90*u = f*u + 3760. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + m - 2)*(m**2 + m**2 + 0*m**2) - m**3 + m**2 - m**2 + (0 - 2 + 5)*(166*m + 533109 - 533109)*(-4*m**2 - 2*m**2 + 4*m**2).\nAnswer: -995*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*u + 3*u - 2 = 0, -s = -u + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4 = -2*q, q - 3 = -w. Suppose -5*x + w*d - 13 = -53, 5*x - 3*d = 30. Suppose 6*a = r + 4*a - 10, x*a - 40 = -4*r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*p - 4*p + 3*p)*(1 + 2*p - 1) + 2*p**2 + 3*p**2 - 7*p**2 - 3 + 3 + 2*p**2)*(-3 + 3 - 3)*(-1 + 2*p**3 + 1).\nAnswer: -24*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + g + 4787. Let o be 4\/10 + 2\/(-5). Let j be k(o). Suppose -5*x + 2263 + j = 0. What is x rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 - -0.17. Which is the closest to 4? (a) d (b) -3 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2484, 2489, 2494, 2499, 2504, 2509?\n\"Answer: 5*g + 2479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*o - 2 = -0, -3*o - 16 = -5*r. What is the tens digit of (1\/(-2))\/(r\/(-210))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n**3 + 4*n**2. Let m(z) be the third derivative of z**6\/15 - z**5\/15 + 184*z**2 - 312*z. Suppose b + 12 = 3*b. Calculate b*l(d) + 5*m(d).\nAnswer: -2*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 40 + -844a25?\nAnswer: -844995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15*5203\nAnswer: -78045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -78, -94, -116, -144?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73401348 by -8.\nAnswer: 18350337\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 12*p + 3. Suppose -10*y + 22 = -28. Let d be w(y). What is the greatest common factor of 36 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p - 148. Let o(f) = -4*f + 51. Let c(r) = -4*n(r) - 11*o(r). Let t(g) be the second derivative of g**3\/2 + 41*g. Give c(t(l)).\nAnswer: 12*l + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 168925385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 6) + (-8)\/(-2). Which is the closest to -1\/16? (a) -1 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 3*j + 4. Let s be a(3). Suppose -5*f + 8 = -4*c, -2*c = 5*f - 30 + s. What is the tens digit of 1\/(c\/84) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t = -35*t - 13. Calculate the highest common factor of t and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 12:47 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.8935 in 4, 5, -96?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 25.145. Round f to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2884 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 320647 = -2*n - 74667, -3*r = n - 122999. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 515837 + -18?\nAnswer: 515819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1116.8 + -757. Let c = 381 - l. What is c rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31, 102, 159, 208, 255?\n\"Answer: t**3 - 13*t**2 + 103*t - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28.206 - -28.286. Let z = -3 + 6. What is the nearest to -1 in -0.2, c, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*-58*(24\/(-18))\/((-112)\/84).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 556, 1110, 1664, 2218, 2772, 3326?\n\"Answer: 554*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiyyiiiiiiiyiy. What is prob of picking 1 i and 1 y?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x = 53. Let s(k) = -k**2 - 5*k + 8. Let i be s(-6). Suppose 0 = m + 4*r - 18, m + i*m = -4*r + 46. What is the remainder when x is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.6? (a) -10 (b) -2\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 65 = -50. Is g <= 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -425*n + 2*n**2 - 7 + 390*n + 0*n**2 to r*n + w + x*n**2 and give r.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((80\/25)\/(-8))\/(24\/(-4)). Let l(r) be the third derivative of 0*r**3 + 4*r**2 - s*r**5 - 1\/120*r**6 - 1\/6*r**4 + 0*r + 0. Find w, given that l(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 69\/(-92)*6*-2. Suppose -u = 5*c + 4*u, 5*u + 8 = -c. Suppose 3*p - 11 = t, -4*t + v*t - c = -4*p. Solve -p = -4*f - 19 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*x + 25 = 0, -3*x - 18 = -4*d - 5*x. Suppose 2*g = 154*t - 159*t - 12, 4*t + 2*g + 8 = 0. Put 1, t, -5, d in decreasing order.\nAnswer: d, 1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 787.1.\nAnswer: 785.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 209676419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 130?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 15389 + 41409 = 21*j. List the prime factors of j.\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -2, 21, -3, -11, -1 in decreasing order.\nAnswer: 21, 3, 0, -1, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = r + 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 2*v + 10 - 17 - 5*v + 7.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64053736?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 - 36*f**4 + 150*f - 160*f + 0*f**3 + 4*f**2 - f**3 to x*f**3 + b*f + i*f**4 + j*f**2 + k and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 2\/((-6)\/(-11) - (-33)\/((-365541)\/3116))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Suppose -3*v = -t*v - 2. Let u be (-8)\/12 + v\/(-6). Which is the third biggest value? (a) u (b) -2\/11 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 700 and 3100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(14\/2)*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*l = 8, 3*l + 6 = 4*d + 4*l. Which is the nearest to 0.1? (a) -0.5 (b) d (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*(-144)\/270*(-10)\/24.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-21))\/(((-136)\/(-224))\/17). What is the highest common factor of 32 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*c + 29*c - 24*c as t + b*c and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/21*(-1830297)\/(-24902)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 1. Suppose s + h - 62 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -463448439 divided by -4.\nAnswer: 463448439\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ggffff.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 2*v**3\/3 - 2*v**2 + 38. Suppose p(m) = 0. Calculate m.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 - -87. Let t be (-4)\/(-10) - (-2396)\/10. Suppose -t = -3*b + x*b. What is b rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 45*h - 15*h - 15*h + 0 - 16*h.\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 45.308173828?\nAnswer: -43.308173828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjpajjjjaj. Give prob of picking 1 j and 1 p.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 84653, -5 in descending order.\nAnswer: 84653, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/3 + 1459*h**2\/3 = 0. Calculate h.\nAnswer: -1459, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdviwvaa. Give prob of sequence dg.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 38 + 12 = -2*h + 2*j, -2*j + 65 = -4*h + 109 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -b - 5*v, 0 = -b - 3*v + 1 - 2. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -11.6. Let j = 7 + p. Which is the second smallest value? (a) 3 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 = 5*x - 290 + 171 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16002431*w**2 + 1776194*w + 1?\nAnswer: 32004862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 193.7 - 185. Let u = y - 8. Let d = u - 1. Which is the closest to 1\/4? (a) -2\/5 (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1598745 - 3?\nAnswer: 1598742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -77293040 divided by -5?\nAnswer: 15458608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -14*h - 2. Let n(j) = -6*j**3 + 2*j + 1. Let s be n(-1). Let a(u) = 2*u**2 - 11*u + 3. Let r be a(s). Determine i(r).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 5:29 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 18 = 2*v + 4*o, 4*o = -4*v + 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 451, -3, -1, 3, 1 in decreasing order.\nAnswer: 451, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 56*r**2 - 7 - 2 + 11*r**2.\nAnswer: -45*r**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 161*m**5\/20 - m**4\/6 - m**3\/6 + m**2\/2 + 26*m. Is p(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89*n**5 - 3*n**3 + 403*n**2 + 1426*n - 11 wrt n.\nAnswer: 1780*n**3 - 18*n + 806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5 = -a, -4*a + 6 = 2*z - 14. Suppose -i - a = -4. Let s be -1 - i\/1 - 118. What is s rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 3*q**2 + 2*q - 2. Let m be x(2). Let w(o) = 2*o**2 - 4*o - 6. Let j be w(m). Let b(z) = z**2 - 2*z + 47. Is b(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63710.\nAnswer: 2, 5, 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*w - 342*w + 87*w + 114*w + 110*w.\nAnswer: 134*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -208, -312, -416, -520, -624?\nAnswer: -728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -259 + 894. Let k(c) = c**3 - 13*c**2 + 5*c + 17. Let u be k(12). Let m = u + i. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**14\/(y\/(y*(((y*y**(-1\/9)\/y)\/y)\/y)\/y)*y))**(-35) assuming y is positive.\nAnswer: y**(-3115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 42096 (base 10) to base 15\nAnswer: c716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 5*k - 3. What is the tens digit of m(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5606524 divided by 3674?\nAnswer: -1526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296568 and 13716.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-44)\/(-8)*1. Let b be (4\/(-6))\/((-6)\/27). Let w = b - z. Calculate the remainder when 26 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 3*d + 12. Let y = -145 - -152. Let u be h(y). Suppose 39*a - u*a = -2. Calculate the greatest common factor of 8 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imme when four letters picked without replacement from {m: 3, i: 3, e: 3, a: 6}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48790\/(-680)*(-5)\/20*(-20)\/35.\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7195422 and 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/5))**33*f**29*((f\/f**(1\/9))\/f*f)\/f assuming f is positive.\nAnswer: f**(2488\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 68 = -g, -5*g + 8 + 2 = 0. Let s = r - -39. Solve c - 3*v = -0 + 4, c + v = -s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.8 + 7.9. Let v = 45\/217 + -2\/31. Put v, -51, j in descending order.\nAnswer: v, j, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + 0*y**3 - y**3)*(-3 + 3 + 2*y) + (1 + 1 - 4)*(-20*y**3 + 20*y**3 - 7*y**4) + 1 - 1 + 2*y**4.\nAnswer: 18*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j + 5*j**2 - 2*j**3 - 5*j**2 + 1 + 2*j**2 - j**3. Is g(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l. Let j(w) = 4*w - 1. Let d(t) = 5*i(t) + 4*j(t). Let f = -25 - -28. Suppose -f*z + 6 = -12. Calculate d(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -87 - d?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-76) - (-61755)\/(-855)) + 133\/57?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 860 divided by 43\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22112 + -1?\nAnswer: 22111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -181 - -190. Suppose k = -3*o + 42. Let d(l) = -2*l + 13. Let v(y) be the first derivative of y**2\/2 - 7*y + 1. What is o*v(j) + 6*d(j)?\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2. Let i(o) = -o - 8. Let q(h) = -2*h - 9. Let g(p) = 3*i(p) - 2*q(p). Let z be g(8). Let d(b) = -2*b**z + 19*b - 19*b + b**2. Give x(d(u)).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-880)*4*(-16)\/(-6)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**3 + 6*v**2 + 7*v + 4. Let p be a(-4). Let j = 9987\/32 + p. Calculate the common denominator of 13*(-1)\/(-16)*-28 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2996*p**2 + 0*p**3 + 81691 + 2*p**3 - 81691 + (-3*p**2 - p**2 - 2*p**2)*(3*p - 2*p + 0*p) to k*p + f*p**2 + q + i*p**3 and give f.\nAnswer: -2996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -239967 divided by -21?\nAnswer: 11427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-3)\/i)\/(i\/i**(-1\/4)*i))\/(i**(1\/6)\/(((i\/(i*i\/((i\/i**(-4))\/i)))\/i*i)\/i)))\/((i\/(i\/i**1))**(3\/8)*i**(-3\/5)\/i**(2\/9)) assuming i is positive.\nAnswer: i**(-1429\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 28*u**2 - 141*u - 202. Give r(21).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*21.1109.\nAnswer: 10.55545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*(-7)\/(-6)*6558\/7651.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*w**3 - 146*w**3 - 2 + 1 + 4.\nAnswer: 4*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 7*w**3\/3 - 15. Let u(o) = o. Give s(u(h)).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 0.4, -3, 25?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 804*s**4 - 686*s**2 + 7*s**3 - 400*s**4 - 402*s**4 - 2*s - 2 + 814*s**2 to p + v*s**2 + x*s**3 + m*s + u*s**4 and give v.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**4 - 2024040*n**3 - 256050168112*n**2 - 1024158168024*n + 1280210360180 = 0.\nAnswer: -253003, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-9) - 0\/(-1). Let v = -2\/55 + -379\/165. Let m = 20\/9 + v. Put 0, r, m in descending order.\nAnswer: r, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-14)*(-84)\/240)\/(9\/(-15))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 793\/(-52) - -15 - ((-258)\/255)\/(432\/90).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 17. Let l = -380.2 + 380. Let c = -2 - -1.5. What is the nearest to l in c, z, 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/7*18\/108*-28. Let k = -3.7 + 0.7. What is the biggest value in k, h, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-19 - -19 - (4 - 15))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2 - 7*q\/3 - 4\/3 = 0. What is q?\nAnswer: -4\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/19 - 23\/76. Which is the closest to h? (a) -2 (b) 0 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vid. Give prob of sequence vdi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 11:17 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, d: 1, h: 1}. What is prob of picking 3 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12771 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 15, 25 = -3*d + x - 122. What is the common denominator of (-570)\/d*(1 - -1) and -55\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, -69, -12568 in increasing order.\nAnswer: -12568, -69, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-6 - (4 - 0 - (0 - 1))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1462019.\nAnswer: 13, 41, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 8*t - 7. Let s(u) = -u**2 + 7*u + 6. Determine 3*s(j) + 2*v(j).\nAnswer: -j**2 + 5*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 + (31 - (-12 - -42)) + -16 + (-2 - -7)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/(-32) - -3)\/(3\/(-20))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}